new titles · basic statistics for business and economics with lind 9780077230968 0077230965 120...

NEW TITLES

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DEVELOPMENT MATHEMATICS2009 Author ISBN-13 MHID PageIntroductory Algebra, 3e Bello 9780073533438 0073533432 11

Algebra For College Students, 5e Dugopolski 9780073533520 0073533521 34

Elementary Algebra, 6e Dugopolski 9780077224790 0077224795 12

Elementary And Intermediate Algebra, 3e Dugopolski 9780077224820 0077224825 16

Intermediate Algebra, 6e Dugopolski 9780077224813 0077224817 27

Beginning And Intermediate Algebra, 2e Messersmith 9780077224837 0077224833 18

2008Beginning And Intermediate Algebra, 2e Hall 9780073229713 0073229717 20

Basic Mathematical Skills With Geometry, 7e Hutchison 9780073309590 0073309591 5

Beginning Algebra, 7e Hutchison 9780073309606 0073309605 13

Elementary And Intermediate Algebra, 3e Hutchison 9780073048239 0073048232 21

Elementary And Intermediate Algebra, Hutchinson 9780073309316 0073309311 23

Alternate Hardcover Edition, 3e

Intermediate Algebra Hutchison 9780073309309 0073309303 29

Beginning Algebra, 2e Miller 9780073312675 0073312673 14

Beginning And Intermediate Algebra, 2e Miller 9780073312699 007331269X 24

Intermediate Algebra, 2e Miller 9780073312682 0073312681 31

MATHEMATICS SErVICE COurSES2007Mathematics For Technicians, 6e Alldis 9780070131651 0070131651 46

HED_08 Math&Statistics_NewTitles.indd 1 1/21/2008 5:22:23 PM

NEW TITLES

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NEW TITLES

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PrECALCuLuS2009 Author ISBN-13 MHID PageCollege Algebra: Graphs And Models, 3e Barnett 9780073051956 0073051950 51

Precalculus: Graphs And Models, 3e Barnett 9780077221294 007722129X 58

2008College Algebra, 8e Barnett 9780073312620 0073312622 52

College Algebra With Trigonometry, 8e Barnett 9780073312644 0073312649 56

Precalculus With Limits, 6e Barnett 9780073365800 0073365807 60

Precalculus With Mathzone, 6e Barnett 9780073312637 0073312630 61

Trigonometry With Mathzone Coburn 9780073312668 0073312665 54

CALCuLuS2008Calculus: Late Transcendental Functions, 3e Smith 9780073312705 0073312703 69

Calculus: Multivariable: Late Transcendental Functions, 3e Smith 9780073314204 007331420X 80

Calculus, Single Variable: Late Transcendental Functions, 3e Smith 9780073314198 0073314196 74

HIgHEr MATHEMATICS2009Complex Variables And Applications, 8e Brown 9780073051949 0073051942 101

2008Fourier Series And Boundary Value Problems, 7e Brown 9780073051932 0073051934 88

STATISTICS AND PrObAbILITy2009 Author ISBN-13 MHID PageComplete Business Statistics With Student CD, 7e Aczel 9780077239695 0077239695 119

Business Statistics In Practice, 5e Bowerman 9780073373591 0073373591 119

2008Elementary Statistics: A Brief Version, 4e Bluman 9780073534961 007353496X 109

Essentials Of Business Statistics With Student CD, 2e Bowerman 9780073319889 0073319880 119

Basic Statistics For Business And Economics With Lind 9780077230968 0077230965 120

Student CD, 6e

Basic Statistics Using Excel To Accompany Statistical Lind 9780073030265 0073030260 120

Techniques In Business And Economics, 13e

Statistical Techniques In Business And Economics, 3e Lind 9780073272962 0073272965 120

Statistics For Engineers And Scientists, 2e Navidi 9780073309491 0073309494 117

HED_08 Math&Statistics_NewTitles.indd 2-3 1/21/2008 5:22:24 PM

1

CONTENTS

Developmental MathematicsAlgrebra For College Students . . . . . . . . . . . . . . . . . . . . .34

Arithmetic/Basic Math . . . . . . . . . . . . . . . . . . . . . . . . . . . . .5

Beginning Algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .11

Beginning/Intermediate Algebra Combined . . . . . . . . . . . .16

Intermediate Algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . .27

Prealgebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .9

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Mathematics Service Courses

Business Mathematics . . . . . . . . . . . . . . . . . . . . . . . . . . . .41

Discrete Mathematics . . . . . . . . . . . . . . . . . . . . . . . . . . . .45

Finite Mathematics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .44

Geometry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .39

Liberal Arts Mathematics . . . . . . . . . . . . . . . . . . . . . . . . . .41

Mathematics For Elementary Teachers . . . . . . . . . . . . . . .43

Technical Mathematics . . . . . . . . . . . . . . . . . . . . . . . . . . .46

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PrecalculusCollege Algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .51

College Algebra With Trigonometry . . . . . . . . . . . . . . . . . .56

Precalculus . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .58

Trigonometry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .54

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CalculusApplied/Business Calculus . . . . . . . . . . . . . . . . . . . . . . . .67

Calculus and Analytic Geometry . . . . . . . . . . . . . . . . . . . .69

Multi-Variable Calculus . . . . . . . . . . . . . . . . . . . . . . . . . . .80

Single Variable Calculus . . . . . . . . . . . . . . . . . . . . . . . . . .74

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Higher MathematicsAbstract Algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .101

Advanced Engineering Mathematics . . . . . . . . . . . . . . . . .94

Advanced Geometry . . . . . . . . . . . . . . . . . . . . . . . . . . . .101

Combinatorics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .93

Complex Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .101

Differential Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . .85

Differential Equations With Boundary Value Problems . . .87

Dynamical System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .95

Graph Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .95

History Of Mathematics . . . . . . . . . . . . . . . . . . . . . . . . . . .97

Introductory Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . .97

Linear Algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .90

Logic . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .94

Mathematical References . . . . . . . . . . . . . . . . . . . . . . . .105

Number Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .100

Numerical Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .99

Partial Differential Equations . . . . . . . . . . . . . . . . . . . . . . .88

Topology . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .104

Transition To Higher Math/Foundations Of Higher

Math . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .89

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Statistics & ProbabilityAdvanced Statistics . . . . . . . . . . . . . . . . . . . . . . . . . . . . .125

Applied Statistics – Engineering . . . . . . . . . . . . . . . . . . .117

Applied Statistics – Eduction, Psychology And Soical

Science . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .116

Applied Statistics – Science, Health And Biostatistics . . .115

Business Statistics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .119

Statistics And Probability (Calculus) . . . . . . . . . . . . . . . .114

Statistics And Probability (Non-Calculus) . . . . . . . . . . . .109

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Algrebra for College Students . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .34Arithmetic/Basic Math . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .5Beginning Algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .11Beginning/Intermediate Algebra Combined . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .16Intermediate Algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .27PreAlgebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .9

NEW TITLES

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DEVELOPMENT MATHEMATICS2009 Author ISBN-13 MHID PageIntroductory Algebra, 3e Bello 9780073533438 0073533432 11

Algebra For College Students, 5e Dugopolski 9780073533520 0073533521 34

Elementary Algebra, 6e Dugopolski 9780077224790 0077224795 12

Elementary And Intermediate Algebra, 3e Dugopolski 9780077224820 0077224825 16

Intermediate Algebra, 6e Dugopolski 9780077224813 0077224817 27

Beginning And Intermediate Algebra, 2e Messersmith 9780077224837 0077224833 18

2008Beginning And Intermediate Algebra, 2e Hall 9780073229713 0073229717 20

Basic Mathematical Skills With Geometry, 7e Hutchison 9780073309590 0073309591 5

Beginning Algebra, 7e Hutchison 9780073309606 0073309605 13

Elementary And Intermediate Algebra, 3e Hutchison 9780073048239 0073048232 21

Elementary And Intermediate Algebra, Hutchinson 9780073309316 0073309311 23

Alternate Hardcover Edition, 3e

Intermediate Algebra Hutchison 9780073309309 0073309303 29

Beginning Algebra, 2e Miller 9780073312675 0073312673 14

Beginning And Intermediate Algebra, 2e Miller 9780073312699 007331269X 24

Intermediate Algebra, 2e Miller 9780073312682 0073312681 31

5

DEVELOPMENTAL MATHEMATICS

Arithmetic/Basic Math

International Edition New

BASIC MATHEMATICAL SKILLS WITH GEOMETRYSeventh Edition

By Donald Hutchison, Stefan Baratto and Barry Bergman of Clackamas Community College

2008 (November 2006) ISBN-13: 978-0-07-330959-0 / MHID: 0-07-330959-1ISBN-13: 978-0-07-110191-2 / MHID: 0-07-110191-8 [IE]

Browse http://www.mhhe.com/barattoBasic Mathematical Skills with Geometry, 7/e by Baratto/Bergman is part of the latest offerings in the successful Streeter-Hutchison Series in Mathematics . The seventh edition continues the hallmark approach of encouraging the learning of mathematics by focusing its coverage on mastering math through practice . This worktext seeks to provide carefully detailed explanations and accessible pedagogy to introduce basic mathematical skills and put the content in context . The authors use a three-pronged approach (I . Communication, II . Pattern Recognition, and III . Problem Solving) to present the material and stimulate critical thinking skills . Items such as Math Anxiety boxes, Check Yourself exercises, and Activities represent this approach and the underlying philosophy of mastering math through practice . The exercise sets have been expanded, organized, and clearly labeled . Vocational and professional-technical exercises have been added throughout . Repeated exposure to this consistent structure should help advance the student’s skills in relating to mathematics . The book is designed for a one-semester basic math course and is appropriate for lecture, learning center, laboratory, or self-paced courses . It is accompanied by numerous useful supplements, including McGraw-Hill’s online homework management system, MathZone .

New to this editioN

CHANGES TO GEOMETRY COVERAGE--Geometry and �measurement have been split into two chapters, with some of the geometry material now being presented earlier in the book . In Chapter 7, which now focuses on measurements, material has been added on temperature conversions, including additional examples . Chapter 8 now focuses on geometric topics and includes more precise vocabulary terms .

“MAKE THE CONNECTION”--Chapter-Opening Vignettes �were substantially revised to provide students interesting, relevant scenarios that will capture their attention and engage them in the upcoming material . Furthermore, exercises and Activities related to the Opening Vignettes were added or updated in each chapter . These exercises are marked with a special icon next to them .

“READING YOUR TEXT”--This new feature is a set of quick �exercises presented at the end of each section meant to quiz students vocabulary knowledge . These exercises are designed to encourage careful reading of the text . Answers to these exercises are provided at the end of the book .

RESTRUCTURING OF END-OF-SECTION EXERCISES--The �comprehensive End-of-Section exercises have been reorganized to more clearly identify the different types of exercises being presented . This structure highlights the progression in level and type of exercise

for each section . The application exercises that are now integrated into every section are a crucial component of this organization .

CoNteNts1 Operations on Whole Numbers1 .1 The Decimal Place-Value System1 .2 Addition1 .3 Subtraction1 .4 Rounding, Estimation, and Order1 .5 Multiplication1 .6 Division1 .7 Exponential Notation and the Order of Operations2 Multiplying and Dividing Fractions2 .1 Prime Numbers and Divisibility2 .2 Factoring Whole Numbers2 .3 Fraction Basics2 .4 Simplifying Fractions2 .5 Multiplying Fractions2 .6 Dividing Fractions3 Adding and Subtracting Fractions3 .1 Adding and Subtracting Fractions with Like Denominators3 .2 Common Multiples3 .3 Adding and Subtracting Fractions with Unlike Denominators3 .4 Adding and Subtracting Mixed Numbers3 .5 Order of Operations with Fractions3 .6 Estimation Applications4 Decimals4 .1 Place Value and Rounding4 .2 Converting Between Fractions and Decimals4 .3 Adding and Subtracting Decimals4 .4 Multiplying Decimals4 .5 Dividing Decimals5 Ratios and Proportions5 .1 Ratios5 .2 Rates and Unit Pricing5 .3 Proportions5 .4 Solving Proportions6 Percents6 .1 Writing Percents as Fractions and Decimals6 .2 Writing Decimals and Fractions as Percents6 .3 Identifying the Parts of a Percent Problem6 .4 Solving Percent Problems7 Measurement7 .1 The Units of the English System7 .2 Metric Units of Length7 .3 Metric Units of Weight and Volume7 .4 Converting Between the English and Metric Systems8 Geometry8 .1 Area and Circumference8 .2 Lines and Angles8 .3 Triangles8 .4 Square Roots and the Pythagorean Theorem9 Data Analysis and Statistics9 .1 Means, Medians, and Modes9 .2 Tables, Pictographs, and Bar Graphs9 .3 Line Graphs and Predictions9 .4 Creating Bar Graphs and Pie Charts9 .5 Describing and Summarizing Data Sets10 The Real Number System10 .1 Real Numbers and Order10 .2 Adding Real Numbers10 .3 Subtracting Real Numbers10 .4 Multiplying Real Numbers10 .5 Dividing Real Numbers and the Order of Operations11 An Introduction to Algebra11 .1 From Arithmetic to Algebra11 .2 Evaluating Algebraic Expressions11 .3 Adding and Subtracting Algebraic Expressions11 .4 Using the Addition Property to Solve an Equation11 .5 Using the Multiplication Property to Solve an Equation11 .6 Combining the Properties to Solve Equations


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BASIC COLLEGE MATHEMATICS By Julie Miller, Daytona Beach Cc-Daytona Beach, Molly O’Neill, Daytona Beach Cc-Daytona Beach, and Nancy Hyde, Broward Community College2007 (November 2006)ISBN-13: 978-0-07-322970-6 / MHID: 0-07-322970-9 (with MathZone)ISBN-13: 978-0-07-330548-6 / MHID: 0-07-330548-0 (softcover)

Browse: http:www.mhhe.com/mohBasic College Mathematics offers a refreshing approach to the traditional content of the course . Presented in worktext format, Basic College Mathematics focuses on basic number skills: operations and problem-solving with whole numbers, fractions, and decimals . Other topics include geometry, measurement, ratios, proportions, percents, and the real number system (with an introduction to algebra) . The text reflects the compassion and insight of its experienced author team with features developed to address the specific needs of developmental level students .

CoNteNts1 Whole Numbers2 Fractions: Multiplication and Division3 Fractions: Addition and Subtraction4 Decimals5 Ratio and Proportion6 Percents7 Measurement8 Geometry9 Introduction to Statistics10 Real Numbers11 Solving Equations

BASIC COLLEGE MATHEMATICSSecond EditionBy Ignacio Bello, University of South Florida, Tampa2006 / Hardcover with CD ISBN-13: 978-0-07-330499-1 / MHID: 0-07-330499-9ISBN-13: 978-0-07-299098-0 / MHID: 0-07-299098-8 (with MathZone)

http://www.mhhe.com/belloBasic College Mathematics will be a review of fundamental math concepts for some students and may break new ground for others . Nevertheless, students of all backgrounds will be delighted to find a refreshing book that appeals to all learning styles and reaches out to diverse demographics . Through down-to-earth explanations, patient skill-building, and exceptionally interesting and realistic applications, this worktext will empower students to learn and master mathematics in the real world .

CoNteNts1. WHOLE NUMBERS1 .1 Standard Numerals1 .2 Ordering and Rounding Whole Numbers1 .3 Addition1 .4 Subtraction1 .5 Multiplication1 .6 Division1 .7 Primes, Factors, and Exponents1 .8 Order of Operations and Grouping Symbols1 .9 Equations and Problem Solving2. FRACTIONS AND MIXED NUMBERS2 .1 Fractions and Mixed Numbers2 .2 Equivalent Fractions2 .3 Multiplication and Division of Fractions and Mixed Numbers2 .4 Addition and Subtraction of Fractions

2 .5 Addition and Subtraction of Mixed Numbers2 .6 Order of Operations and Grouping Symbols2 .7 Equations and Problem Solving3. DECIMALS3 .1 Addition and Subtraction of Decimals3 .2 Multiplication and Division of Decimals3 .3 Fractions and Decimals3 .4 Decimals, Fractions, and Order3 .5 Solving Equations and Word Problems4. RATIO, RATE, AND PROPORTION4 .1 Ratio and Proportion4 .2 Rates4 .3 Word Problems Involving Proportion5. PERCENT5 .1 Percent Notation5 .2 Percent Problems5 .3 Solving Percent Problems using Proportions5 .4 Taxes, Interest, Commissions, and Discounts5 .5 Applications: Percent of Increase and Decrease5 .6 Consumer Credit6. STATISTICS AND GRAPHS6 .1 Tables and Pictographs6 .2 Bar and Line Graphs6 .3 Circle Graphs6 .4 Mean, Median, and Mode7. MEASUREMENT AND THE METRIC SYSTEM7 .1 Length7 .2 The Metric System7 .3 Converting Between American and Metric Units7 .4 Converting Units of Area7 .5 Capacity7 .6 Weight and Temperature8. GEOMETRY8 .1 Finding Perimeters8 .2 Finding Areas8 .3 Volume of Solids8 .4 Angles and Triangles8 .5 Square Roots and Pythagoras’ Theorem9. THE REAL NUMBERS9 .1 Addition and Subtraction of Integers9 .2 Multiplication and Division of Integers9 .3 The Rational Numbers9 .4 Order of Operations10. INTRODUCTION TO ALGEBRA10 .1 Introduction to Algebra10 .2 The Algebra of Exponents10 .3 Scientific Notation10 .4 Solving Linear Equations10 .5 Applications: Word Problems

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McGraw-Hill is interested in reviewing manuscript for

publication. Please contact your local McGraw-Hill office or email to

[email protected]

Visit McGraw-Hill Education (Asia)Website: www.mcgraw-hill.com.sg

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MATH FOR THE ANXIOUSBy Rosanne Proga 2005 / 176 pages ISBN-13: 978-0-07-288584-2 / MHID: 0-07-288584-X

CoNteNts1 The Misery of Math AnxietyMath Memories . Math Anxiety: What Causes it? To Succeed in Math . . . Why Learn Math? How We Learn Math . Problem Solving . Math Anxiety: Why Must It Be Addressed? Strategies for Success . Exercises .2 Strategies for Conquering Math AnxietyMath Memories . Choosing the Righ Math Course . Getting the Most Out of a Math Class . Your Attitued Toward Mathematics . Strategies for Effective Studying . Estimation . How to “Read” a Math Book . Using Additional Resources . Test Preparation . Test-Taking Strategies . How to Measure Results . Strategies for Success . Exercises .3 Becoming Nimble with NumbersMath Memories . Common Problems . Hints for Studying Numbers . Symbols Used in Mathematics . Addition of Whole Numbers . Addition in Daily Life: Total Mileage . Subtraction of Whole Numbers . Subtraction in Daily Life: Population Expansion . Subtraction in Daily Life: Bank Deposit . Multiplication of Whole Numbers . Multiplication in Daily Life: Buying Stock . Division of Whole Numbers . Division in Daily Life: Rows in a Lecture Hall . Division in Daily Life: Lottery Prize . Word Problems . Word Problems in Daily Life: Sales Profits . Strategies for Success . Exercises .4 Fighting Fear of FractionsMath Memories . Common Problems . Hints for Studying Fractions . What Is A Fraction? Properties of Fractions . Types of Fractions . Converting Between Mixed Numbers and Improper Fractions . Equivalent Fractions . Reducing to Lowest Terms . Lowest Common Denominator . Addition and Subtraction of Fractions . Multiplication of Fractions . Division of Fractions . Fractions in Daily Life: Moving Furniture . Fractions in Daily Life: Measuring Fabric . Strategies for Success . Exercises .5 Daring to Do DecimalsMath Memories . Common Problems . Hints for Studying Decimals . Naming Decimals . Estimation . Addition and Subtraction of Decimals . Multiplication of Decimals . Decimals in Daily Life: Calculating Cost . Division of Decimals . Decimals in Daily Life: Calculating Mileage . Strategies for Success . Exercises .6 Gaining Proficiency with PercentsMath Memories . Common Problems . Hints for Studying Percents . Converting Percents to Fractions . Converting Percents to Decimals . Converting Decimals to Percents . Converting Fractions to Percents . Percents in Daily Life: Discounts . Percents in Daily Life: Interest . Percents in Daily Life: Tipping . Percents in Daily Life: Taxes . Strategies for Success . Exercises .7 Getting the Most out of GraphsMath Memories . Commong Problems . Hints for Studying Graphs . Bar Graphs in Daily Life . Pictographs in Daily Life . Line Graphs in Daily Life . Pie Charts in Daily Life . Strategies for Success . Exercises .8 Succeeding with Signed NumbersMath Memories . Common Problems . Hints for Studying Signed Numbers . Addition of Signed Numbers . Subtraction of Signed Numbers . Multiplication of Signed Numbers . Division of Signed Numbers . Signed Numbers in Daily Life: Bank Account Balance . Signed Numbers in Daily Life: Elevation . Strategies for Success . Exercises .9 Mastering MeasurementMath Memories . Common Problems . Hints for Studying Measurement . Units of Time . Units of Length . Units of Weight . Units of Volume . The Metric System . Estimating Conversions Between English and Metric Units . Measurement in Daily Life: Unit Price . Strategies for Success . Exercises . 10 Grasping Geometry: Math Memories . Commong Problems . Hints for Studying Geometry . Perimeter . Geometry in Daily Life: Perimeter . Area . Geometry in Daily Life: Area . Circles . Geometry in Daily Life: Circles . Volume . Geometry in Daily Life: Volume . Strategies for Success . Exercises .

11 Moving Beyond Math AnxietyMath Memories . Taking the Next Step . Strategies for Success . Exercises

MATHEMATICS FOR TECHNICIANSFifth EditionBy Blair Alldis, former Head Teacher of Mathematics, Randwick College of TAFE, Australia2002 / 304 pages ISBN-13: 978-0-07-471157- 6 / MHID: 0-07-471157-1 (with CD)McGraw-Hill Australia Title

CoNteNtsPrefaceChapter 1 Fractions and DecimalsChapter 2 Ratio, Proportion and PercentageChapter 3 Measurement and MensurationChapter 4 Introduction to AlgebraChapter 5 Formulae: evaluation and transpositionChapter 6 Introduction to GeometryChapter 7 Geometry of Triangles and QuadrilateralsChapter 8 Geometry of the CircleChapter 9 Straight Line Coordinate GeometryChapter 10 Introduction to TrigonometryChapter 11 Indices and RadicalsChapter 12 PolynomialsChapter 13 Functions and their GraphsChapter 14 Logarithms and Exponential EquationsChapter 15 Non-Linear Empirical EquationsChapter 16 Compound Interest: exponential growth and decayChapter 17 Circular FunctionsChapter 18 Phase Angles: more graphs of trigonometrical functionsChapter 19 Trigonometry of Oblique TrianglesChapter 20 Trigonometrical IdentitiesChapter 21 Introduction to Vectors . Answers to chapter exercises and self-test problems .

SCHAUM’S A-Z MATHEMATICSBy John Berry; Ted Graham and Elizabeth Berry 2004 / 288 pagesISBN-13: 978-0-07-141936-9 / MHID: 0-07-141936-5A Schaum’s PublicationSchaum’s A-Z handbooks make excellent complements to course textbooks and test preparation guides . Ideal for ambitious high school seniors—especially AP students—and college freshmen, they feature concise, thoroughly cross-referenced definitions of hundreds of key terms and phrases that help students quickly break through the jargon barrier . Clear explanations of key concepts, supplemented with lucid illustrations, help build mastery of theory and provide a ready reference to supplement class work .


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EVERYDAY MATH DEMYSTIFIEDBy Stan Gibilisco 2004 / Softcover / 440 pages ISBN-13: 978-0-07-143119-4 / MHID: 0-07-143119-5A Professional PublicationCoNteNtsPART ONE: EXPRESSING QUANTITIESChapter 1 . Numbers and ArithmeticChapter 2 . How Variables RelateChapter 3 . Extreme NumbersChapter 4 . How Things Are MeasuredTest: Part OnePART TWO: FINDING UNKNOWNSChapter 5 . Basic AlgebraChapter 6 . More AlgebraChapter 7 . A Statistics SamplerChapter 8 . Taking ChancesTest: Part TwoPART THREE: SHAPES AND PLACESChapter 9 . Geometry on the FlatsChapter 10 . Geometry in SpaceChapter 11 . Graphing ItChapter 12 . A Taste of TrigonometryTest: Part ThreePART FOUR: MATH IN SCIENCEChapter 13 . Vectors and 3DChapter 14 . Growth and DecayChapter 15 . How Things MoveTest: Part Four . Final Exam . Answers to Quiz, Test, and Exam Questions . Suggested Additional References . Index

HOW TO SOLVE WORD PROBLEMS IN ARITHMETICBy Phyllis Pullman2001 / 160 pagesISBN-13: 978-0-07-136271-9 / MHID: 0-07-136271-1A Professional PublicationCoNteNtsChapter 1: Approaching Word ProblemsChapter 2: Reviewing the BasicsChapter 3: Problems Involving Perimeter and AreaChapter 4: Problems Involving the CircleChapter 5: Other Geometry ProblemsChapter 6: Problems Involving PercentChapter 7: Problems Involving ProportionsChapter 8: Problems Involving StatisticsChapter 9: Number ProblemsChapter 10: Problems Involving Problem Solving Skills Other Than ArithmeticChapter 11: Some Mathematical Curiosities and Other Fun StuffChapter 12: Miscellaneous Problem Drill .

HOW TO SOLVE WORD PROBLEMS IN MATHEMATICSBy David Wayne, NJ Public Schools2001 / 176 pages ISBN-13: 978-0-07-136272-6 / MHID: 0-07-136272-XA Professional PublicationCoNteNtsChapter 1: Measurement, Estimation, and Using FormulasChapter 2: Using Algebraic Equations to Solve ProblemsChapter 3: Word Problems Involving Ratio, Proportion, and PercentageChapter 4: Word Problems Involving Geometry and TrignometryChapter 5: Word Problems Involving Statistics, Counting, and ProbabilityChapter 6: Miscellaneous Problem Drill . Appendix: A Brief Review of Solving Equations .

SCHAUM’S OUTLINE OF REVIEW OF ELEMENTARY MATHEMATICSSecond EditionBy Barnett Rich (deceased), Philip Schmidt, State University College—New Paltz1997 / 288 pages ISBN-13: 978-0-07-052279-4 / MHID: 0-07-052279-0A Schaum’s Publication

http://books.mcgraw-hill.com/cgi-bin/getbook.pl?isbn=0070522790& adkey=W02003CoNteNtsFundamentals of Arithmetic: NumberFundamentals of Arithmetic and Introduction to CalculatorsFractionsDecimalsPercentsSigned NumbersFundamentals of Algebra: Laws and OperationsFundamentals of Algebra: Equations and FormulasRatios, Proportions, and Rates . Fundamentals of Geometry

COMPLIMENTARY COPIES

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local McGraw-Hill Representative or fax the Examination Copy Request Form available on

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9


PreAlgebraPREALGEBRASecond EditionBy Donald Hutchison, Barry Bergman, and Stefan Baratto, all of Clackamas Community College2007 (December 2005) / SoftcoverISBN-13: 978-0-07-325033-5 / MHID: 0-07-325033-3 (with MathZone)

Browse http://www.mhhe.com/streeterPrealgebra: An Integrated Equations Approach, 2e, by Hutchison/Bergman/Baratto extends the successful Streeter series in developmental mathematics . This worktext utilizes an integrated equations approach that pairs arithmetic concepts alongside corresponding algebraic concepts . Beginning in chapter 1, students are gradually exposed to key algebraic concepts such as variables and equations. In this way, students gradually build their confidence dealing with basic algebra concepts and are better prepared for an introductory algebra course . Integers, fractions, and decimals are used frequently after their initial introduction, developing students’ comfort with them . Students also develop valuable critical thinking skills through numerous, varied examples and exercises that focus on real-world applications and problem solving . The worktext is accompanied by numerous useful supplements, including McGraw-Hill’s online homework management system, MathZone .

CoNteNtsCHAPTER 1 Whole NumbersPretest Chapter 11 .1 Introduction to Whole Numbers, Place Value1 .2 Addition of Whole Numbers1 .3 Subtraction of Whole Numbers1 .4 Rounding, Estimation, and Ordering of Whole Numbers1 .5 Multiplication of Whole Numbers1 .6 Division of Whole Numbers1 .7 Exponents1 .8 Order of Operations1 .9 An Introduction to EquationsSummarySummary and Review ExercisesChapter TestCHAPTER 2 Integers and Introduction to AlgebraPretest Chapter 22 .1 Introduction to Integers2 .2 Addition of Integers2 .3 Subtraction of Integers2 .4 Multiplication of Integers2 .5 Division of Integers2 .6 Introduction to Algebra: Variables and Expressions2 .7 Evaluating Algebraic Expressions2 .8 Simplifying Algebraic Expressions2 .9 Introduction to Linear Equations2 .10 The Addition Property of EqualitySummarySummary and Review ExercisesChapter TestCumulative Test for Chapters 1 and 2CHAPTER 3 Fractions and EquationsPretest Chapter 33 .1 Introduction to Fractions3 .2 Prime Numbers and Factorization3 .3 Equivalent Fractions3 .4 Multiplication and Division of Fractions3 .5 The Multiplication Property of Equality3 .6 Linear Equations in One VariableSummarySummary and Review ExercisesChapter TestCumulative Test for Chapters 1 to 3

CHAPTER 4 Applications of Fractions and EquationsPretest Chapter 44 .1 Addition and Subtraction of Fractions4 .2 Operations on Mixed Numbers4 .3 Complex Fractions4 .4 Applications Involving Fractions4 .5 Equations Containing Fractions4 .6 Applications of Linear Equations in One VariableSummarySummary and Review ExercisesChapter Test Cumulative Test for Chapters 1 to 4CHAPTER 5 DecimalsPretest Chapter 55 .1 Introduction to Decimals, Place Value, and Rounding5 .2 Addition and Subtraction of Decimals5 .3 Multiplication of Decimals5 .4 Division of Decimals5 .5 Fractions and Decimals5 .6 Equations Containing Decimals5 .7 Square Roots and the Pythagorean Theorem5 .8 ApplicationsSummarySummary and Review ExercisesChapter Test Cumulative Test for Chapters 1 to 5CHAPTER 6 Ratio, Rate, and ProportionPretest Chapter 66 .1 Ratios6 .2 Rates6 .3 Proportions6 .4 Similar Triangles and Proportions6 .5 More Applications of Proportion6 .6 Linear Measurement and ConversionSummarySummary and Review ExercisesChapter Test Cumulative Test for Chapters 1 to 6CHAPTER 7 PercentPretest Chapter 77 .1 Percents, Decimals, and Fractions7 .2 Solving Percent Problems Using Proportions7 .3 Solving Percent Applications Using Equations7 .4 Applications: Simple and Compound Interest7 .5 More Applications of Percent SummarySummary and Review ExercisesChapter Test Cumulative Test for Chapters 1 to 7CHAPTER 8 GeometryPretest Chapter 88 .1 Lines and Angles8 .2 Perimeter and Circumference8 .3 Area and VolumeSummarySummary and Review ExercisesChapter Test . Cumulative Test for Chapters 1 to 8CHAPTER 9 Graphing and Introduction to StatisticsPretest Chapter 99 .1 Circle Graphs9 .2 Pictographs, Bar Graphs, and Line Graphs9 .3 The Rectangular Coordinate System9 .4 Linear Equations in Two Variables9 .5 Mean, Median, and ModeSummarySummary and Review ExercisesChapter Test . Cumulative Test for Chapters 1 to 9CHAPTER 10 PolynomialsPretest Chapter 1010 .1 Introduction to Polynomials10 .2 Addition and Subtraction of Polynomials10 .3 Multiplying Polynomials10 .4 Introduction to Factoring PolynomialsSummarySummary and Review ExercisesChapter Test . Practice Final Exam Chapters 1 to 10


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PRE-ALGEBRAThird EditionBy Daniel Bach, Diablo Valley College and Patricia Leitner, Diablo Valley College2006 / SoftcoverISBN-13: 978-0-07-310157-6 / MHID: 0-07-310157-5 (with MathZone)

http://www.mhhe.com/bachBach/Leitner’s progressive text lays a solid foundation for elementary algebra that carefully addresses student needs . The authors’ clear, non-intimidating, and humorous style reassures math-anxious readers . Unlike workbook-format Prealgebra texts that stress competence at procedures, this text emphasizes understanding and mastery through careful step-by-step explanations that strengthen students’ long-term abilities to conceptualize and solve problems . The text’s innovative sequencing builds students’ confidence with arithmetic operations early on before extending the basic concepts to algebraic expressions and equations . The authors’ unusually thorough introduction to variables eases students through the crucial transition from working with numbers . Throughout the text, interesting applied examples and exercises and math-appreciation features highlight key concepts at work in a wide variety of real-world contexts .

CoNteNtsPart I Arithmetic Operations1 Working with Whole Numbers1 .1 Whole Numbers and Place Value, Reading Tables1 .2 Addition and Subtraction of Whole Numbers, Estimation and Calculators1 .3 Multiplication of Whole Numbers, the Laws of Arithmetic1 .4 Division, Quotients and Remainders; Divisibility1 .5 Prime Numbers, Factor Trees, Prime Factorizations1 .6 Greatest Common Divisors and Least Common MultiplesA World of MathChapter Summary, Chapter Review, Chapter Test2 Whole Numbers and their Negatives2 .1 The Number Line, Integers, Absolute Value, Reading Bar Charts2 .2 Inequality Symbols, Comparison of Integers2 .3 Addition of Positive and Negative Numbers2 .4 Subtraction of Positive and Negative Numbers; Applications2 .5 Multiplication and Division of Positive and Negative Numbers2 .6 Order of Operations and Using ParenthesesA World of Math . Chapter Summary, Chapter Review, Chapter Test3 Fractions, Decimals, and Percentages3 .1 Signed Fractions, Lowest Terms, Improper Fractions and Mixed Numbers3 .2 Ratios, Rates, Proportions, and Probability: An Introduction3 .3 Multiplying and Dividing Fractions; Reciprocals3 .4 Adding and Subtracting Fractions and Order of Operations3 .5 Working with Decimal Numbers3 .6 Introduction to Percentages and Pie ChartsA World of MathChapter Summary, Chapter Review, Chapter Test4 Exponents and Square Roots4 .1 Exponents and Scientific Notation4 .2 Rules of Exponents (Part 1), Integer Exponents4 .3 Rules of Exponents (Part 2)4 .4 Exponents and the Order of Operations4 .5 Square Roots and the Pythagorean TheoremA World of MathChapter Summary, Chapter Review, Chapter TestPart II Expressions5 Introduction to Variables5 .1 Introduction: What is a Variable?5 .2 Expressions Containing Variables, Geometry Formulas, Laws of Arithmetic5 .3 Evaluating Algebraic Expressions; The Prime Code5 .4 Applications: Translating Word Phrases into ExpressionsA World of MathChapter Summary, Chapter Review, Chapter Test

6 Working With Polynomials6 .1 Mono-mials and Like Terms6 .2 Adding and Subtracting Polynomials6 .3 Multiplying Monomials; Rules of Exponents Revisited6 .4 Multiplying Polynomials; The FOIL Method6 .5 Factoring Out a Common FactorA World of MathChapter Summary, Chapter Review, Chapter Test7 Algebraic Fractions7 .1 Reducing Algebraic Fractions to Lowest Terms7 .2 Multiplying and Dividing Algebraic Fractions7 .3 Building Fractions; Least Common Multiples7 .4 Adding and Subtracting Algebraic FractionsA World of MathChapter Summary, Chapter Review, Chapter TestPart III Equations8 Solving Equations and Applications8 .1 Intro-duction: What is an Equation?8 .2 Solution Sets and Missing Number Statements8 .3 Solving Linear Equations Using Addition and Subtraction8 .4 Solving Linear Equations and Proportions Using Multiplication and Division8 .5 Applications: Translating Word Statements Into Equations8 .6 Linear Equalities and Their UsesA World of MathChapter Summary, Chapter Review, Chapter Test9 Further Applications of Equations9 .1 Rates, Ratios and Proportions: A Variable Approach9 .2 Applications With More Than One Unknown Quantity9 .3 Percentage and Simple Interest Applications9 .4 Distance-Rate-Time and Mixture ProblemsA World of Math Chapter Summary, Chapter Review, Chapter Test10 Graphing and the Coordinate Plane10 .1 The Coordinate Plane; Plotting Points10 .2 Equations With Two Variables and Their Graphs10 .3 The Slope of a Line, Rates of Change10 .4 Finding the Equation of a Line (Optional)10 .5 Statistics, Charts, and GraphsA World of MathChapter Summary, Chapter Review, Chapter Test11 Geometry and Measurement11 .1 Geometry of Lines, Angles, and Polygons11 .2 Triangles; Congruence and Similarity; The Pythagorean Theorem11 .3 Perimeters and Areas of Common Shapes11 .4 Composite Shapes, Volumes and Surface Areas11 .5 Measurement and Conversion Using U .S . Units11 .6 The Metric System and Conversion Between SystemsA World of MathChapter Summary, Chapter Review, Chapter Test

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Beginning Algebra

New

INTRODUCTORY ALGEBRAThird EditionBy Ignacio Bello, University of South Florida-Tampa2009 (January 2008) / 800 pagesISBN-13: 978-0-07-353343-8 / MHID: 0-07-353343-2

http://www.mhhe.com/belloIntroductory Algebra prepares students for Intermediate Algebra by covering fundamental algebra concepts and key concepts needed for further study. Students of all backgrounds will be delighted to find a refreshing book that appeals to every learning style and reaches out to diverse demographics . Through down-to-earth explanations, patient skill-building, and exceptionally interesting and realistic applications, this worktext will empower students to learn and master algebra in the real world .

New to this editioN

Interesting writing style with student-centric context . �

Paired Examples/Problems: examples are placed adjacent �to simmilar problems intended for students to obtain immediate reinforcement of the skill they have just learned . There is an abundance of quality, easily understood examples/problems throughout the text .

Realistic applications based on real data which help the students �relate math to their own lives .

“Translate It” boxes to help students learn how to turn phrases �into equations . Part of the RSTUV method .

New “Calculator Corner” boxes explaining usage of calculators �found before the exercises sets .

End-of-section exercise sets to include exercises keyed to �objectives and to examples, applied exercises, and “skill checkers” to confirm/reinforce skills needed for the next section .

McGraw-Hill’s MathZone is a complete, online tutorial and �course management system for mathematics and statistics, designed for greater ease of use than any other system available . Instructors can create and share courses and assignments with colleagues and adjuncts in a matter of a few clicks of a mouse . All instructor teaching resources are accessed online, as well as student assignments, questions, e-Professors, online tutoring and video lectures which are directly tied to text specific material . MathZone courses are customized to your textbook, but you can edit questions and algorithms, import your own content, create announcements and due dates for assignments . MathZone has automatic grading and reporting of easy-to-assign algorithmically generated homework, quizzing and testing . Student activity within MathZone is automatically recorded and available to you through a fully integrated grade book than can be downloaded to Excel . Go to www .mathzone .com to learn more

CoNteNtsIntroductory AlgebraChapter R: Prealgebra ReviewR .1 Fractions: Building and ReducingR .2 Operations with Fractions and Mixed NumbersR .3 Decimals and PercentsChapter 1: Real Numbers and Their Properties1 .1 Introduction to Algebra

1 .2 The Real Numbers1 .3 Adding and Subtracting Real Numbers1 .4 Multiplying and Dividing Real Numbers1 .5 Order of Operations1 .6 Properties of the Real Numbers1 .7 Simplifying ExpressionsChapter 2: Equations, Problem Solving, and Inequalities2 .1 The Addition and Subtraction Properties of Equality2 .2 The Multiplication and Division Properties of Equality2 .3 Linear Equations2 .4 Problem Solving: Integer, General, and Geometry Problems2 .5 Problem Solving: Motion, Mixture, and Investment Problems2 .6 Formulas and Geometry Applications2 .7 Properties of InequalitiesChapter 3: Graphs of Linear Equations, Inequalities, and Applications3 .1 Line, Bar Graphs and Applications3 .2 Graphing Linear Equations in Two Variables3 .3 Graphing Lines Using Intercepts: Horizontal and Vertical Lines3 .4 The Slope of a Line: Parallel and Perpendicular Lines3 .5 Graphing Lines Using Points and Slopes3 .6 Applications of Equations of Lines3 .7 Graphing Inequalities in Two VariablesChapter 4: Exponents and Polynomials4 .1 The Product, Quotient, and Power Rules for Exponents4 .2 Integer Exponents4 .3 Application of Exponents: Scientific Notation4 .4 Polynomials: An Introduction4 .5 Addition and Subtraction of Polynomials4 .6 Multiplication of Polynomials4 .7 Special Products of Polynomials4 .8 Division of PolynomialsChapter 5: Factoring5 .1 Common Factors and Grouping5 .2 Factoring x^2+bx+c5 .3 Factoring ax^2+bx+c, a¿05 .4 Factoring Squares of Binomials5 .5 A General Factoring Strategy5 .6 Solving Quadratic Equations by Factoring5 .7 Applications of QuadraticsChapter 6: Rational Expressions6 .1 Building and Reducing Rational Expressions6 .2 Multiplication and Division of Rational Expressions6 .3 Addition and Subtraction of Rational Expressions6 .4 Complex Fractions6 .5 Solving Equations Containing Rational Expressions6 .6 Ratio, Proportion, and Applications6 .7 Direct and Inverse VariationChapter 7: Solving Systems of Linear Equations and Inequalities7 .1 Solving Systems of Equations by Graphing7 .2 Solving Systems of Equations by Substitution7 .3 Solving Systems of Equations by Elimination7 .4 Coin, General Motion, and Investment Problems7 .5 Systems of Linear InequalitiesChapter 8: Roots and Radicals8 .1 Finding Roots8 .2 Multiplication and Division of Radicals8 .3 Addition and Subtraction of Radicals8 .4 Simplifying Radicals8 .5 ApplicationsChapter 9: Quadratic Equations9 .1 Solving Quadratic Equations by the Square Root Property9 .2 Solving Quadratic Equations by Completing the Square9 .3 Solving Quadratic Equations by the Quadratic Formula9 .4 Graphing Quadratic Equations9 .5 The Pythagorean Theorem and Other Applications9 .6 Functions


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New

ELEMENTARY ALGEBRASixth Edition

By Mark Dugopolski

2009 (January 2008)ISBN-13: 978-0-07-722479-0 / MHID: 0-07-722479-5

Browse: http://www.mhhe.com/dugopolskiElementary Algebra, 6e is part of the latest offerings in the successful Dugopolski series in mathematics . The author’s goal is to explain mathematical concepts to students in a language they can understand . In this book, students and faculty will find short, precise explanations of terms and concepts written in understandable language . The author uses concrete analogies to relate math to everyday experiences . For example, when the author introduces the Commutative Property of Addition, he uses a concrete analogy that “the price of a hamburger plus a Coke is the same as a Coke plus a hamburger” . Given the importance of examples within a math book, the author has paid close attention to the most important details for solving the given topic . Dugopolski includes a double cross-referencing system between the examples and exercise sets, so no matter which one the students start with, they will see the connection to the other . Finally, the author finds it important to not only provide quality, but also a good quantity of exercises and applications . The Dugopolski series is known for providing students and faculty with the most quantity and quality of exercises as compared to any other developmental math series on the market . In completing this revision, Dugopolski feels he has developed the clearest and most concise developmental math series on the market, and he has done so without comprising the essential information every student needs to become successful in future mathematics courses . The book is accompanied by numerous useful supplements, including McGraw-Hill’s online homework management system, MathZone .

New to this editioN

Subsection heads are now in the end of section exercise sets, �and section heads are now in the Chapter Review Exercises .

References to page numbers on which Strategy Boxes are �located have been inserted into the direction lines for the exercises when appropriate .

Study tips have been removed from the margins to give the pages �a better look . Two study tips now precede each exercise set .

McGraw-Hill’s MathZone is a complete, online tutorial and course �management system for mathematics and statistics, designed for greater ease of use than any other system available . Instructors can create and share courses and assignments with colleagues and adjuncts in a matter of a few clicks of a mouse . All instructor teaching resources are accessed online, as well as student assignments, questions, e-Professors, online tutoring and video lectures which are directly tied to text specific material . MathZone courses are customized to your textbook, but you can edit questions and algorithms, import your own content, create announcements and due dates for assignments . MathZone has automatic grading and reporting of easy-to-assign algorithmically generated homework, quizzing and testing . Student activity within MathZone is automatically recorded and available to you through a fully integrated grade book than can be downloaded to Excel . Go to www .mathzone .com to learn more .

CoNteNtsTO THE STUDENTPREFACE1 Real Numbers and Their Properties1 .1 The Real Numbers1 .2 Fractions1 .3 Addition and Subtraction of Real Numbers1 .4 Multiplication and Division of Real Numbers1 .5 Exponential Expressions and the Order of Operations1 .6 Algebraic Expressions1 .7 Properties of the Real Numbers1 .8 Using the Properties to Simplify ExpressionsChapter 1 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 1 Test• Critical Thinking2 Linear Equations and Inequalities in One Variable 2 .1 The Addition and Multiplication Properties of Equality2 .2 Solving General Linear Equations2 .3 More Equations2 .4 Formulas2 .5 Translating Verbal Expressions into Algebraic Expressions2 .6 Number, Geometric, and Uniform Motion Applications2 .7 Discount, Investment, and Mixture Applications2 .8 Inequalities2 .9 Solving Inequalities and ApplicationsChapter 2 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 2 Test• Making Connections: A review of Chapters 1-2• Critical Thinking3 Linear Equations in Two Variables and Their Graphs3 .1 Graphing Lines in the Coordinate Plane3 .2 Slope3 .3 Equations of Lines in Slope-Intercept Form3 .4 The Point-Slope Form3 .5 VariationsChapter 3 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 3 Test• Making Connections: a review of Chapters 1-3• Critical Thinking4 Systems of Linear Equations and Inequalities4 .1 The Graphing Method4 .2 The Substitution Method4 .3 The Addition Method4 .4 Graphing Linear Inequalities in Two Variables4 .5 Graphing Systems of Linear InequalitiesChapter 4 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 4 Test• Making Connections: a review of Chapters 1-4• Critical Thinking5 Exponents and Polynomials5 .1 The Rules of Exponents5 .2 Negative Exponents and Scientific Notation5 .3 Addition and Subtraction of Polynomials5 .4 Multiplication of Polynomials5 .5 Multiplication of Binomials5 .6 Special Products5 .7 Division of Polynomials

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Chapter 5 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 5 Test• Making Connections: a review of Chapters 1-5• Critical Thinking6 Factoring6 .1 Factoring Out Common Factors6 .2 Special Products and Grouping6 .3 Factoring the Trinomial ax² + bx + c with a = 16 .4 Factoring the Trinomial ax² + bx + c with a ¿ 16 .5 The Factoring Strategy6 .6 Solving Quadratic Equations by FactoringChapter 6 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 6 Test• Making Connections: a review of Chapters 1-6• Critical Thinking7 Rational Expressions7 .1 Reducing Rational Expressions7 .2 Multiplication and Division7 .3 Finding the Least Common Denominator7 .4 Addition and Subtraction7 .5 Complex Fractions7 .6 Solving Equations with Rational Expressions7 .7 Applications of Ratios and Proportions7 .8 Applications of Rational ExpressionsChapter 7 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 7 Test• Making Connections: a review of Chapters 1-7• Critical Thinking8 Powers and Roots8 .1 Roots, Radicals, and Rules8 .2 Simplifying Square Roots8 .3 Operations with Radicals8 .4 Solving Equations with Radicals and Exponents8 .5 Fractional ExponentsChapter 8 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 8 Test• Making Connections: a review of Chapters 1-8• Critical Thinking9 Quadratic Equations, Parabolas, and Functions9 .1 The Square Root Property and Factoring9 .2 Completing the Square9 .3 The Quadratic Formula9 .4 Applications of Quadratic Equations9 .5 Complex Numbers9 .6 Graphing Parabolas9 .7 Introduction to Functions9 .8 Combining FunctionsChapter 9 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 9 Test• Making Connections: a review of Chapters 1-9• Critical ThinkingAppendix A: Geometry Review ExercisesAppendix B: SetsAppendix C: Final Exam Review Answers to Selected Exercises Index

New

BEGINNING ALGEBRASeventh Edition


2008 (December 2006)ISBN-13: 978-0-07-330960-6 / MHID: 0-07-330960-5

Browse http://www.mhhe.com/barattoBeginning Algebra, 7/e by Baratto/Bergman is part of the latest offerings in the successful Streeter-Hutchison Series in Mathematics . The seventh edition continues the hallmark approach of encouraging the learning of mathematics by focusing its coverage on mastering math through practice . This worktext seeks to provide carefully detailed explanations and accessible pedagogy to introduce basic algebra skills and put the content in context . The authors use a three-pronged approach (I . Communication, II . Pattern Recognition, and III . Problem Solving) to present the material and stimulate critical thinking skills . Items such as Math Anxiety boxes, Check Yourself exercises, and Activities represent this approach and the underlying philosophy of mastering math through practice . The exercise sets have been expanded, organized, and clearly labeled . Vocational and professional-technical exercises have been added throughout . Repeated exposure to this consistent structure should help advance the student’s skills in relating to mathematics . The book is designed for a one-semester beginning algebra course and is appropriate for lecture, learning center, laboratory, or self-paced courses . It is accompanied by numerous useful supplements, including McGraw-Hill’s online homework management system, MathZone .

New to this editioN



RESTRUCTURING OF END-OF-SECTION EXERCISES--The �comprehensive End-of-Section exercises have been reorganized to more clearly identify the different types of exercises being presented . This structure highlights the progression in level and type of exercise for each section . The application exercises that are now integrated into every section are a crucial component of this organization .

GRAPH PAPER INCLUDED--A graph paper card is bound into �the back of the book . This perforated card can be torn out and copied as needed by the students, and can be used any time they need to do graphing . An electronic version of the card is available through the book’s website in the Information Center .

CoNteNts0 An Arithmetic Review0 .1 Prime Factorization and Least Common Multiples0 .2 Factoring and Mixed Numbers0 .3 Decimals and Percents


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0 .4 Exponents and the Order of Operations0 .5 Positive and Negative Numbers1 The Language of Algebra1 .1 Properties of Real Numbers1 .2 Adding and Subtracting Real Numbers1 .3 Multiplying and Dividing Real Numbers1 .4 From Arithmetic to Algebra1 .5 Evaluating Algebraic Expressions1 .6 Adding and Subtracting Terms1 .7 Multiplying and Dividing Terms2 Equations and Inequalities2 .1 Solving Equations by the Addition Property2 .2 Solving Equations by the Multiplication Property2 .3 Combining the Rules to Solve Equations2 .4 Formulas and Problem Solving2 .5 Applications of Linear Equations2 .6 Inequalities--An Introduction3 Polynomials3 .1 Exponents and Polynomials3 .2 Negative Exponents and Scientific Notation3 .3 Adding and Subtracting Polynomials3 .4 Multiplying Polynomials3 .5 Dividing Polynomials4 Factoring4 .1 An Introduction to Factoring4 .2 Factoring Trinomials of the Form x2 + bx + c4 .3 Factoring Trinomials of the Form ax2 + bx + c4 .4 Difference of Squares and Perfect Square Trinomials4 .5 Strategies in Factoring4 .6 Solving Quadratic Equations by Factoring5 Rational Expressions5 .1 Simplifying Rational Expressions5 .2 Multiplying and Dividing Rational Expressions5 .3 Adding and Subtracting Like Rational Expressions5 .4 Adding and Subtracting Unlike Rational Expressions5 .5 Complex Rational Expressions5 .6 Equations Involving Rational Expressions5 .7 Applications of Rational Expressions6 An Introduction to Graphing6 .1 Solutions of Equations in Two Variables6 .2 The Rectangular Coordinate System6 .3 Graphing Linear Equations6 .4 The Slope of a Line6 .5 Reading Graphs7 Graphing and Inequalities7 .1 The Slope-Intercept Form7 .2 Parallel and Perpendicular Lines7 .3 The Point-Slope Form7 .4 Graphing Linear Inequalities7 .5 An Introduction to Functions8 Systems of Linear Equations8 .1 Systems of Linear Equations: Solving by Graphing8 .2 Systems of Linear Equations: Solving by the Addition Method8 .3 Systems of Linear Equations: Solving by Substitution8 .4 Systems of Linear Inequalities9 Exponents and Radicals9 .1 Roots and Radicals9 .2 Simplifying Radical Expressions9 .3 Adding and Subtracting Radicals9 .4 Multiplying and Dividing Radicals9 .5 Solve Radical Equations9 .6 Applications of the Pythagorean Theorem10 Quadratic Equations10 .1 More on Quadratic Equations10 .2 Completing the Square10 .3 The Quadratic Formula10 .4 Graphing Quadratic Equations

New

BEGINNING ALGEBRASecond Edition

By Julie Miller and Molly O’Neill of Daytona Beach Community College


Building on its first-edition success, Beginning Algebra 2/e by Miller/O’Neill continues to offer an enlightened approach grounded in the fundamentals of classroom experience . The practice of many instructors in the classroom is to present examples and have their students solve similar problems . This is realized through the Skill Practice Exercises that directly follow the examples in the textbook . Throughout the text, the authors have integrated many Study Tips and Avoiding Mistakes hints, which are reflective of the comments and instruction presented to students in the classroom . In this way, the text communicates to students, the very points their instructors are likely to make during lecture, helping to reinforce the concepts and provide instruction that leads students to mastery and success . The authors included in this edition, Problem-Recognition exercises, that many instructors will likely identify to be similar to worksheets they have personally developed for distribution to students . The intent of the Problem-Recognition exercises, is to help students overcome what is sometimes a natural inclination toward applying problem-solving algorithms that may not always be appropriate . In addition, the exercise sets have been revised to include even more core exercises than were present in the first edition. This permits instructors to choose from a wealth of problems, allowing ample opportunity for students to practice what they learn in lecture to hone their skills and develop the knowledge they need to make a successful transition into Intermediate Algebra . In this way, the book perfectly complements any learning platform, whether traditional lecture or distance-learning; its instruction is so reflective of what comes from lecture, that students will feel as comfortable outside of class, as they do inside class with their instructor . For even more support, students have access to a wealth of supplements, including McGraw-Hill’s online homework management system, MathZone .

New to this editioN

NEW! Problem Recognition Exercises Developmental math �students are sometimes conditioned into algorithmic thinking to the point where they want to automatically apply various algorithms to solve problems, whether it is meaningful or not . These exercises were built to decondition students from falling into that trap . Carefully crafted by the authors, the exercises focus on the situations where students most often get “mixed-up .” Working the Problem Recognition Exercises, students become conditioned to Stop, Think, and Recall what method is most appropriate to solve each problem in the set .

NEW! Skill Practice exercises follow immediately after the �examples in the text . Answers are provided so students can check their work . By utilizing these exercises, students can test their understanding of the various problem-solving techniques given in the examples .

NEW! The section-ending Practice Exercises are newly revised, �with even more core exercises appearing per exercise set . Many of the exercises are grouped by section objective, so students can refer back to content within the section if they need some assistance in completing homework . Review Problems appear at the beginning

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of most Practice Exercise Sets to help students improve their study habits and to improve their long-term retention of concepts previously introduced .

NEW! Mixed Exercises are found in many of the Practice �Exercise sets . The Mixed Exercises contain no references to objectives . In this way, students are expected to work independently without prompting--which is representative of how they would work through a test or exam .

NEW! Study Skills Exercises appear at the beginning of the �Practice Exercises, where appropriate . They are designed to help students learn techniques to improve their study habits including exam preparation, note taking, and time management .

NEW! The Chapter Openers now include a variety of puzzles �that may be used to motivate lecture . Each puzzle is based on key vocabulary terms or concepts that are introduced in the chapter .

CoNteNtsChapter R : ReferenceR .1 Study TipsR .2 FractionsR .3 Decimals and PercentsR .4 Introduction to GeometryChapter 1: Set of Real Numbers1 .1 Sets of Numbers and the Real Number Line1 .2 Order of Operations1 .3 Addition of Real Numbers1 .4 Subtraction of Real Numbers1 .5 Multiplication and Division of Real Numbers1 .6 Properties of Real Numbers and Simplifying ExpressionsChapter 2: Linear Equations and Inequalities2 .1 Addition, Subtraction, Multiplication and Division Properties of Equality2 .2 Solving Linear Equations2 .3 Linear Equations: Clearing Fractions and Decimals2 .4 Applications of Linear Equations: Introduction to Problem Solving2 .5 Applications Involving Percents2 .6 Formulas and Applications of Geometry2 .7 Linear InequalitiesChapter 3: Graphing Linear Equations in Two Variables3 .1 Rectangular Coordinate System3 .2 Linear Equations in Two Variables3 .3 Slope of a Line3 .4 Slope-Intercept Form of a Line3 .5 Point-Slope Formula3 .6 Applications of Linear EquationsChapter 4: Systems of Linear Equations and Inequalities in Two Variables4 .1 Solving Systems of Equations by the Graphing Method4 .2 Solving Systems of Equations by the Substitution Method4 .3 Solving Systems of Equations by the Addition Method4 .4 Applications of Linear Equations in Two Variables4 .5 Linear Inequalities in Two Variables4 .6 Systems of Linear Inequalities in Two VariablesChapter 5: Polynomials and Properties of Exponents5 .1 Exponents: Multiplying and Dividing Common Bases5 .2 More Properties of Exponents5 .3 Definitions of b^0 and b^-n5 .4 Scientific Notation5 .5 Addition and Subtraction of Polynomials5 .6 Multiplication of Polynomials5 .7 Division of PolynomialsChapter 6: Factoring Polynomials6 .1 Greatest Common Factor and Factoring by Grouping6 .2 Factoring Trinomials of the Form x^2+ bx+ c (optional)6 .3 Factoring Trinomials: Trial-and-Error Method6 .4 Factoring Trinomials: AC Method6 .5 Factoring Binomials

6 .6 General Factoring Summary6 .7 Solving Equations Using the Zero Product RuleChapter 7: Rational Expressions7 .1 Introduction to Rational Expressions7 .2 Multiplication and Division of Rational Expressions7 .3 Least Common Denominator7 .4 Addition and Subtraction of Rational Expressions7 .5 Complex Fractions7 .6 Rational Equations7 .7 Applications of Rational Equations and Proportions7 .8 VariationsChapter 8: Radicals8 .1 Introducion to Roots and Radicals8 .2 Simplifying Radicals8 .3 Addition and Subtraction of Radicals8 .4 Multiplication of Radicals8 .5 Rationalization8 .6 Radical Equations8 .7 ExponentsChapter 9: Functions, Complex Numbers, and Quadratic Equations9 .1 Introduction to Functions9 .2 Complex Numbers9 .3 The Square Root Property and Completing the Square9 .4 Quadratic Formula9 .5 Graphing Quadratic Functions

INTRODUCTORY ALGEBRA By Julie Miller, Daytona Beach Community College-Daytona Beach, Molly O’Neill, Daytona Beach Community College-Daytona Beach, and Nancy Hyde, Broward Community College2007 (January 2006) ISBN-13: 978-0-07-322969-0 / MHID: 0-07-322969-5 (with MathZone, Softcover)ISBN-13: 978-0-07-327629-8 / MHID: 0-07-327629-4(with MathZone, Hardcover)ISBN-13: 978-0-07-330945-3 / MHID: 0-07-330945-1 (MP, Softcover)ISBN-13: 978-0-07-330946-0 / MHID: 0-07-330946-X (MP, Hardcover)

http://www.mhhe.com/mohIntroductory Algebra offers a refreshing approach to the traditional content of the course . Presented in worktext format, Introductory Algebra focuses on solving equations and inequalities, graphing, polynomials, factoring, rational expressions, and radicals . Other topics include quadratic equations and an introduction to functions and complex numbers. The text reflects the compassion and insight of its experienced author team with features developed to address the specific needs of developmental level students.

CoNteNtsR Reference: Fractions, Decimals, Percents, Geometry, and Study Skills1 The Set of Real Numbers2 Linear Equations and Inequalities3 Graphing Linear Equations in Two Variables4 Systems of Linear Equations in Two Variables5 Polynomials and Properties of Exponents6 Factoring Polynomials7 Rational Expressions8 Radicals9 Complex Numbers and Quadratic Equations


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BOB MILLER’S ALGEBRA FOR THE CLUELESSSecond EditionBy Bob Miller, City College of the City University of New York2007 (July 2006) / 240 pagesISBN-13: 978-0-07-147366-8 / MHID: 0-07-147366-1A Professional PublicationA is for Algebra-and that’s the grade you’ll pull when you use Bob Miller’s simple guide to the math course every college-bound kid must take .

With eight books and more than 30 years of hard-core classroom experience, Bob Miller is the frustrated student’s best friend . He breaks down the complexities of every problem into easy-to-understand pieces that any math-phobe can understand-and this fully updated second edition of Bob Miller’s Algebra for the Clueless covers everything a you need to know to excel in Algebra I and II .

CoNteNtsTO THE STUDENTChapter 1: Natural Numbers and Introductory TermsChapter 2: Integers Plus MoreChapter 3: First-Degree EquationsChapter 4: Problems with Words: Why So Many Students Have Problems on the SATChapter 5: FactoringChapter 6: Algebraic FractionsChapter 7: Radicals and ExponentsChapter 8: QuadraticsChapter 9: Points, Lines, and PlanesChapter 10: Odds and EndsChapter 11: Miscellaneous MiscellanyAPPENDIX 1: FRACTIONS, DECIMALS, PERCENTS, AND GRAPHSAPPENDIX 2: SETSACKNOWLEDGMENTSABOUT BOB MILLER: IN HIS OWN WORDSINDEX

SCHAUM’S OUTLINE OF ELEMENTARY ALGEBRAThird EditionBy Barnett Rich (deceased); Philip Schmidt, State University College—New Paltz2004 / 400 pages ISBN-13: 978-0-07-141083-0 / MHID: 0-07-141083-XA Schaum’s PublicationThis third edition of the perennial bestseller defines the recent changes in how the discipline is taught and introduces a new perspective on the discipline . New material in this third edition includes:

• A modernized section on trigonometry• An introduction to mathematical modeling• Instruction in use of the graphing calculator• 2,000 solved problems• 3,000 supplementary practice problems and more

ALGEBRA DEMYSTIFIEDBy Rhonda Huettenmueller 2003 / 349 pages ISBN-13: 978-0-07-138993-8 / MHID: 0-07-138993-8A Professional PublicationCoNteNtsPrefaceCHAPTER 1: FractionsCHAPTER 2: Introduction to VariablesCHAPTER 3: DecimalsCHAPTER 4: Negative NumbersCHAPTER 5: Exponents and RootsCHAPTER 6: FactoringCHAPTER 7: Linear EquationsCHAPTER 8: Linear ApplicationsCHAPTER 9: Linear InequalitiesCHAPTER 10: Quadratic EquationsCHAPTER 11: Quadratic ApplicationsAppendix . Final Review . Index

Beginning/Intermediate Algebra Combined


ELEMENTARY AND INTERMEDIATE ALGEBRAThird Edition

By Mark Dugopolski

2009 (January 2008)ISBN-13: 978-0-07-722482-0 / MHID: 0-07-722482-5ISBN-13: 978-0-07-128402-8 / MHID: 0-07-128402-8 [IE]

Browse: http://www.mhhe.com/dugopolskiElementary & Intermediate Algebra, 3e is part of the latest offerings in the successful Dugopolski series in mathematics . The author’s goal is to explain mathematical concepts to students in a language they can understand. In this book, students and faculty will find short, precise explanations of terms and concepts written in understandable language . The author uses concrete analogies to relate math to everyday experiences . For example, when the author introduces the Commutative Property of Addition, he uses a concrete analogy that “the price of a hamburger plus a Coke is the same as a Coke plus a hamburger” . Given the importance of examples within a math book, the author has paid close attention to the most important details for solving the given topic . Dugopolski includes a double cross-referencing system between the examples and exercise sets, so no matter which one the students start with, they will see the connection to the other. Finally, the author finds it important to not only provide quality, but also a good quantity of exercises and applications . The Dugopolski series is known for providing students and faculty with the most quantity and quality of exercises as compared to any other

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developmental math series on the market . In completing this revision, Dugopolski feels he has developed the clearest and most concise developmental math series on the market, and he has done so without comprising the essential information every student needs to become successful in future mathematics courses . The book is accompanied by numerous useful supplements, including McGraw-Hill’s online homework management system, MathZone .

New to this editioN




McGraw-Hill’s MathZone is a complete, online tutorial and �course management system for mathematics and statistics, designed for greater ease of use than any other system available . Instructors can create and share courses and assignments with colleagues and adjuncts in a matter of a few clicks of a mouse . All instructor teaching resources are accessed online, as well as student assignments, questions, e-Professors, online tutoring and video lectures which are directly tied to text specific material . MathZone courses are customized to your textbook, but you can edit questions and algorithms, import your own content, create announcements and due dates for assignments . MathZone has automatic grading and reporting of easy-to-assign algorithmically generated homework, quizzing and testing . Student activity within MathZone is automatically recorded and available to you through a fully integrated grade book than can be downloaded to Excel . Go to www .mathzone .com to learn more .

CoNteNtsTO THE STUDENTPREFACE1 Real Numbers and Their Properties1 .1 The Real Numbers1 .2 Fractions1 .3 Addition and Subtraction of Real Numbers1 .4 Multiplication and Division of Real Numbers1 .5 Exponential Expressions and the Order of Operations1 .6 Algebraic Expressions1 .7 Properties of the Real Numbers1 .8 Using the Properties to Simplify ExpressionsChapter 1 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 1 Test• Critical Thinking2 Linear Equations and Inequalities in One Variable2 .1 The Addition and Multiplication Properties of Equality2 .2 Solving General Linear Equations2 .3 More Equations2 .4 Formulas2 .5 Translating Verbal Expressions into Algebraic Expressions2 .6 Number, Geometric, and Uniform Motion Applications2 .7 Discount, Investment, and Mixture Applications2 .8 Inequalities2 .9 Solving Inequalities and ApplicationsChapter 2 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 2 Test• Making Connections: A review of Chapters 1-2• Critical Thinking3 Linear Equations and Inequalities in Two Variables3 .1 Graphing Lines in the Coordinate Plane

3 .2 Slope3 .3 Equations of Lines in Slope-Intercept Form3 .4 The Point-Slope Form3 .5 Variations3 .6 Graphing Linear Inequalities in Two VariablesChapter 3 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 3 Test• Making Connections: a review of Chapters 1-3• Critical Thinking4 Exponents and Polynomials4 .1 The Rules of Exponents4 .2 Negative Exponents and Scientific Notation4 .3 Addition and Subtraction of Polynomials4 .4 Multiplication of Polynomials4 .5 Multiplication of Binomials4 .6 Special Products4 .7 Division of PolynomialsChapter 4 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 4 Test• Making Connections: a review of Chapters 1-4• Critical Thinking5 Factoring5 .1 Factoring Out Common Factors5 .2 Special Products and Grouping5 .3 Factoring the Trinomial ax² + bx + c with a = 15 .4 Factoring the Trinomial ax² + bx + c with a ¿ 15 .5 The Factoring Strategy5 .6 Solving Quadratic Equations by FactoringChapter 5 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 5 Test• Making Connections: a review of Chapters 1-5• Critical Thinking6 Rational Expressions6 .1 Reducing Rational Expressions6 .2 Multiplication and Division6 .3 Finding the Least Common Denominator6 .4 Addition and Subtraction6 .5 Complex Fractions6 .6 Solving Equations Involving Rational Expressions6 .7 Applications of Ratios and Proportions6 .8 Applications of Rational ExpressionsChapter 6 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 6 Test• Making Connections: a review of Chapters 1-6• Critical Thinking7 Systems of Linear Equations7 .1 Solving Systems by Graphing and Substitution7 .2 The Addition Method7 .3 Systems of Linear Equations in Three VariablesChapter 7 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 7 Test• Making Connections: a review of Chapters 1-7• Critical Thinking8 More on Inequalities8 .1 Compound Inequalities in One Variable8 .2 Absolute Value Equations and Inequalities


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8 .3 Compound Inequalities in Two Variables8 .4 Linear ProgrammingChapter 8 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 8 Test• Making Connections: a review of Chapters 1-8• Critical Thinking9 Radicals and Rational Exponents9 .1 Radicals9 .2 Rational Exponents9 .3 Adding, Subtracting, and Multiplying Radicals9 .4 Quotients, Powers, and Rationalizing Denominators9 .5 Solving Equations with Radicals and Exponents9 .6 Complex NumbersChapter 9 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 9 Test• Making Connections: a review of Chapters 1-9• Critical Thinking10 Quadratic Equations and Inequalities10 .1 Factoring and Completing the Square10 .2 The Quadratic Formula10 .3 More on Quadratic Equations10 .4 Graphing Parabolas10 .5 Quadratic and Rational InequalitiesChapter 10 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 10 Test• Making Connections: a review of Chapters 1-10• Critical Thinking11 Functions11 .1 Functions and Relations11 .2 Graphs of Functions and Relations11 .3 Transformations of Graphs11 .4 Graphs of Polynomial Functions11 .5 Graphs of Rational Functions11 .6 Combining Functions11 .7 Inverse FunctionsChapter 11 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 11 Test• Making Connections: a review of Chapters 1-11• Critical Thinking12 Exponential and Logarithmic Functions12 .1 Exponential Functions and Their Applications12 .2 Logarithmic Functions and Their Applications12 .3 Properties of Logarithms12 .4 Solving Equations and ApplicationsChapter 12 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 12 Test• Making Connections: a review of Chapters 1-12• Critical Thinking13 Nonlinear Systems and the Conic Sections13 .1 Nonlinear Systems of Equations13 .2 The Parabola13 .3 The Circle13 .4 The Ellipse and Hyperbola13 .5 Second-Degree InequalitiesChapter 13 Wrap-Up• Summary

• Enriching Your Mathematical Word Power• Review Exercises• Chapter 13 Test• Making Connections: a review of Chapters 1-13• Critical Thinking14 Sequences and Series14 .1 Sequences14 .2 Series14 .3 Arithmetic Sequences and Series14 .4 Geometric Sequences and Series14 .5 Binomial ExpansionsChapter 14 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 14 Test• Making Connections: A Review of Chapter 1-14• Critical ThinkingAppendix A: Geometry Review ExercisesAppendix B: SetsAppendix C: Chapters 1-6 Diagnostic TestAppendix D: Chapters 1-6 Review Answers to Selected Exercises Index

New

BEGINNING AND INTERMEDIATE ALGEBRASecond EditionBy Sherri Messersmith, College of Dupage2009 (February 2008)ISBN-13: 978-0-07-722483-7 / MHID: 0-07-722483-3

Browse: http://www.mhhe.com/messersmithBeginning and Intermediate Algebra, 2e, by Messersmith is the first text in a series of future offerings in developmental mathematics. The author presents the content in bite-size pieces, focusing not only on how to solve mathematical concepts, but also explaining the why behind those concepts . For students, learning mathematics is not just about the memorization of concepts and formulas, but it is also about the journey of learning how to problem solve . By breaking the sections down into manageable chunks, the author has identified the core places where students traditionally struggle, and then assists them in understanding that material to be successful moving forward . Proven pedagogical features, such as You Try problems after each example, reinforce a student’s mastery of a concept . While teaching in the classroom, Messersmith has created worksheets for each section that fall into three categories: review worksheets/basic skills, worksheets to teach new content, and worksheets to reinforce/pull together different concepts . These worksheets are a great way to both enhance instruction and to give the students more tools to be successful in studying a given topic . The author is also an extremely popular lecturer, and finds it important to be in the video series that accompany her texts. Finally, the author finds it important to not only provide quality, but also an abundant quantity of exercises and applications . The book is accompanied by numerous useful supplements, including McGraw-Hill’s online homework management system, MathZone .

Messersmith – mapping the journey to mathematical success!

New to this editioN

Mid-Chapter Summary: � Several chapters contain a Mid-Chapter Summary section . In keeping with the author’s philosophy of breaking sections into manageable chunks, Messersmith includes a mid-chapter summary where needed to help the student to synthesize key topics before moving onto the rest of the chapter .

Worksheets: � There are worksheets for each section that fall into three categories: review worksheets/basic skills, worksheets

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to teach new content, and worksheets to reinforce/pull together different concepts . These worksheets are a great way to both enhance instruction and to give the students more tools to be successful in studying a given topic . These will be available online through MathZone .

In-Class Examples: � In order to give the instructors additional material to use in the classroom, a matching In-Class Example is provided in the margin of the AIE for every example in the book .

You Try Problems: � After nearly every example, there is a “You Try” problem that mirrors that example . This provides students with the opportunity to practice a problem similar to what the instructor has presented before moving on to the next concept . Answers are provided at the end of the section for immediate feedback .

Chapter-Opening Vignettes: � Each chapter opens with a real-world vignette to capture the student’s attention and engage them in the upcoming material . The openers fall into five different themes for consistency sake .

Learning Objectives � are clearly identified at the beginning of each section . The objectives then appear within the body of the text, showing when a particular objective is about to be developed . References are also included within the exercise sets to help students quickly reference related material if they need more practice .

Be Careful Boxes: � There are some mistakes that are very common for students to make . The “Be Careful!” boxes make students aware of these common errors so that, hopefully, they will not make these mistakes themselves .

Using Technology Boxes: � For those instructors who want to make use of graphing calculator-related material, Using Technology Boxes are included at the ends of sections where relevant . For those instructors who don’t want to use this material, they are easily skipped .

End-of-Section Exercise: � The end-of-section exercise sets have been organized similarly to the examples—they are presented from the most basic to the most rigorous so that students may see how the concepts work at the simplest level before progressing to more difficult problems . Messersmith has incorporated interesting real-world, up-to-date, relevant information that will appeal to students of all backgrounds into the applications in the book . Students have identified a number of the problems as interesting and fun in previous use . Within these exercises, students and faculty will find video, calculator, and writing exercise icons.

Chapter Summary: � The comprehensive Summaries at the end of each chapter enable students to review important concepts . A definition or concept is presented, along with a related example and a page reference from the relevant section .

End-of-Chapter Material: � At the end of each chapter, you will find a set of Review Exercises, a Chapter Test, and a comprehensive Cumulative Review (starting with Chapter 2 .)

Geometry Review: � Chapter 1 includes a review of basic concepts from geometry . Throughout beginning and intermediate algebra courses, students need to know these basics, but many do not . Section 1 .3 provides the material necessary for faculty to teach & students to practice the geometry concepts they will later in the course . The book also includes geometry applications where appropriate .

Functions Coverage: � In response to reviewer feedback, functions are now introduced beginning in chapter 4, and then integrated in subsequent chapters as appropriate .

Beginning Algebra Review Appendix: � Also as a result of reviewer feedback, Messersmith has now included a Beginning Algebra review in an appendix to bridge the gap to Intermediate Algebra for those who need it . It is included as an Appendix so that the instructor can use it where best fits their curriculum .

McGraw-Hill’s MathZone is a complete, online tutorial and course �management system for mathematics and statistics, designed for greater ease of use than any other system available . Instructors can create and share courses and assignments with colleagues and adjuncts in a matter of a few clicks of a mouse . All instructor teaching resources are accessed online, as well as student assignments, questions, e-Professors, online tutoring and video lectures which are directly tied to text specific material . MathZone courses are customized to your textbook, but you can edit questions and algorithms, import your own content, create announcements and due dates for assignments . MathZone has automatic grading and reporting of easy-to-assign algorithmically generated homework, quizzing and testing . Student activity within MathZone is automatically recorded and available to you through a fully integrated grade book than can be downloaded to Excel . Go to www .mathzone .com to learn more .

CoNteNtsChapter 1: The Real Number System and GeometrySection 1 .1 Review of FractionsSection 1 .2 Exponents and Order of OperationsSection 1 .3 Geometry ReviewSection 1 .4 Sets of Numbers and Absolute ValueSection 1 .5 Addition and Subtraction of Real NumbersSection 1 .6 Multiplication and Division of Real NumbersSection 1 .7 Algebraic Expressions and Properties of Real NumbersChapter 2: Variables and ExponentsSection 2 .1 Simplifying ExpressionsSection 2 .2a The Product Rule and Power Rules for ExponentsSection 2 .2b Combining the RulesSection 2 .3a Integer Exponents with Real-Number BasesSection 2 .3b Integer Exponents With Variable BasesSection 2 .4 The Quotient RuleMid-Chapter SummarySection 2 .5 Scientific NotationChapter 3: Linear Equations and InequalitiesSection 3 .1 Solving Linear Equations Part ISection 3 .2 Solving Linear Equations Part IISection 3 .3 Applications of Linear Equations to General Problems, Consecutive Integers, and Fixed and Variable CostSection 3 .4 Applications of Linear Equations to Percent Increase/Decrease and Investment ProblemsSection 3 .5 Geometry Applications and Solving Formulas for a Specific VariableSection 3 .6 Applications of Linear Equations to Proportions, d = rt, and Mixture ProblemsSection 3 .7 Solving Linear Inequalities in One VariableSection 3 .8 Solving Compound InequalitiesChapter 4: Linear Equations in Two VariablesSection 4 .1 Introduction to Linear Equations in Two VariablesSection 4 .2 Graphing by Plotting Points and Finding InterceptsSection 4 .3 The Slope of a LineSection 4 .4 The Slope-Intercept Form of a LineSection 4 .5 Writing an Equation of a LineSection 4 .6 Parallel and Perpendicular LinesSection 4 .7 Introduction to FunctionsSection 4 .8 Function Notation and Linear FunctionsChapter 5: Solving Systems of Linear EquationsSection 5 .1 Solving Systems by GraphingSection 5 .2 Solving Systems by SubstitutionSection 5 .3 Solving Systems by the Elimination MethodMid-Chapter SummarySection 5 .4 Applications of Systems of Two EquationsSection 5 .5 Systems of Linear Equations in Three VariablesChapter 6: PolynomialsSection 6 .1 Review of Rules of ExponentsSection 6 .2 Addition and Subtraction of PolynomialsSection 6 .3 Multiplication of PolynomialsSection 6 .4 Division of PolynomialsChapter 7: Factoring PolynomialsSection 7 .1 The Greatest Common Factor and Factoring by Grouping


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Section 7 .2 Factoring Trinomials of the Form x^2 + bx + cSection 7 .3 Factoring Polynomials of the Form ax^2 + bx + c (a not equal to 1)Section 7 .4 Factoring Binomials and Perfect Square TrinomialsMid-Chapter SummarySection 7 .5 Solving Quadratic Equations by FactoringSection 7 .6 Applications of Quadratic EquationsChapter 8: Rational ExpressionsSection 8 .1 Simplifying Rational ExpressionsSection 8 .2 Multiplying and Dividing Rational ExpressionsSection 8 .3 Finding the Least Common DenominatorSection 8 .4 Adding and Subtracting Rational ExpressionsMid-Chapter SummarySection 8 .5 Simplifying Complex FractionsSection 8 .6 Solving Rational EquationsSection 8 .7 ApplicationsChapter 9: Absolute Value Equations and InequalitiesSection 9 .1 Solving Absolute Value EquationsSection 9 .2 Solving Absolute Value InequalitiesSection 9 .3 Linear Inequalities in Two VariablesSection 9 .4 Solving Systems of Equations Using MatricesChapter 10: Radicals and Rational ExponentsSection 10 .1 Finding RootsSection 10 .2 Rational ExponentsSection 10 .3 Simplifying Expressions Containing Square RootsSection 10 .4 Simplifying Expressions Containing Higher RootsSection 10 .5 Adding and Subtracting RadicalsSection 10 .6 Combining Multiplication, Addition, and Subtraction of RadicalsSection 10 .7 Dividing RadicalsSection 10 .8 Solving Radical EquationsChapter 11: Quadratic EquationsSection 11 .1 Review of Solving Equations by FactoringSection 11 .2 Solving Quadratic Equations Using the Square Root PropertySection 11 .3 Complex NumbersSection 11 .4 Solving Quadratic Equations by Completing the SquareSection 11 .5 Solving Quadratic Equations Using the Quadratic FormulaMid-Chapter SummarySection 11 .6 Equations in Quadratic FormSection 11 .7 Formulas and ApplicationsChapter 12: Functions and their GraphsSection 12 .1 Relations and FunctionsSection 12 .2 Graphs of Functions and TransformationsSection 12 .3 Quadratic Functions and their GraphsSection 12 .4 Applications of Quadratic Functions and Graphing Other ParabolasSection 12 .5 The Algebra of FunctionsSection 12 .6 VariationChapter 13: Inverse, Exponential, and Logarithmic FunctionsSection 13 .1 Inverse FunctionsSection 13 .2 Exponential FunctionsSection 13 .3 Logarithmic FunctionsSection 13 .4 Properties of LogarithmsSection 13 .5 Common and Natural Logarithms and Change of BaseSection 13 .6 Solving Exponential and Logarithmic EquationsChapter 14: Conic Sections, Nonlinear Inequalities, and Nonlinear SystemsSection 14 .1 The CircleSection 14 .2 The Ellipse and the HyperbolaMid-Chapter SummarySection 14 .3 Nonlinear Systems of EquationsSection 14 .4 Quadratic and Rational InequalitiesChapter 15: Sequences and Series **Available online**Section 15 .1 Sequences and SeriesSection 15 .2 Arithmetic Sequences and SeriesSection 15 .3 Geometric Sequences and SeriesSection 15 .4 The Binomial TheoremAppendix: Beginning Algebra Review

New

BEGINNING AND INTERMEDIATE ALGEBRA2nd Edition

By James Hall and Brian Mercer of Parkland College

2008 (January 2007) ISBN-13: 978-0-07-322971-3 / MHID: 0-07-322971-7

Intended for schools that want a single text covering the standard topics from Beginning and Intermediate Algebra . Topics are organized by using the principles of the AMATYC standards as a guide, giving strong support to teachers using the text . The book’s organization and pedagogy are designed to work for students with a variety of learning styles and for teachers with varied experiences and backgrounds . The inclusion of multiple perspectives--verbal, numerical, algebraic, and graphical--has proven popular with a broad cross section of students . Use of a graphing calculator is assumed . BEGINNING AND INTERMEDIATE ALGEBRA: THE LANGUAGE AND SYMBOLISM OF MATHEMATICS is a reform-oriented book .

New to this editioN

More Emphasis on Functions-- Chapters 7-11 will have more �of a functions emphasis than in the first edition of Beginning & Intermediate Algebra .

More Exercises! New exercises have been added throughout �the text . Data has also been updated/revised to reflect more current information in some problems .

Revised Page Layout--Some of the key pedigogical features �have been rearranged throughout the chapters . The Self-Check answers now appear at the end of each section (not on the same page as the questions), and several of the side notes have been moved to the main text .

CoNteNtsChapter One: Review of Beginning Algebra1 .1 Preparing for an Algebra Class1 .2 The Real Number Line1 .3 Addition of Real Numbers1 .4 Subtraction of Real Numbers1 .5 Multiplication of Real Numbers and Natural Number Exponents1 .6 Division of Real Numbers1 .7 Order of OperationsChapter Two: Linear Equations and Patterns2 .1 The Rectangular Coordinate System and Arithmetic Sequences2 .2 Function Notation and Linear Functions2 .3 Graphs of Linear Equations in Two Variables2 .4 Solving Linear Equations in One Variable Using the Addition- Subtraction Principle2 .5 Solving Linear Equations in One Variable Using the Multiplication-Division Principle2 .6 Using and Rearranging Formulas2 .7 Proportions and Direct Variation2 .8 More Applications of Linear EquationsChapter Three: Lines and Systems of Linear Equations in Two Variables3 .1 Slope of a Line and Applications of Slope3 .2 Special Forms of Linear Equations in Two Variables3 .3 Solving Systems of Linear Equations in Two Variables Graphically and Numerically

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3 .4 Solving Systems of Linear Equations in Two Variables by the Substitution Method3 .5 Solving Systems of Linear Equations in Two Variables by the Addition Method3 .6 More Applications of Linear Systems Cumulative Review of Chapters 1-3Chapter Four: Linear Inequalities and Systems of Linear Inequalities4 .1 Solving Linear Inequalities Using the Addition-Subtraction Principle4 .2 Solving Linear Inequalities Using the Multiplication-Divison Principle4 .3 Solving Compound Inequalities4 .4 Solving Absolute Value Equations and Inequalities4 .5 Graphing Systems of Linear Inequalities in Two VariablesChapter Five: Exponents and Operations with Polynomials5 .1 Product and Power Rules for Exponents5 .2 Quotient Rule and Zero Exponents5 .3 Negative Exponents and Scientific Notation5 .4 Adding and Subtracting Polynomials5 .5 Multiplying Polynomials5 .6 Dividing Polynomials5 .7 Special Products and Factors Cumulative Review of Chapters 1-5Chapter Six: Factoring Polynomials6 .1 An Introduction to Factoring6 .2 Factoring Trinomials of the Form x2 + bx + c6 .3 Factoring Trinomials of the Form ax2 + bx + c6 .4 Factoring Special Forms6 .5 A General Strategy for Factoring Polynomials6 .6 Solving Equations by FactoringChapter Seven: Quadratic Functions7 .1 Functions and Representations of Functions7 .2 Quadratic Functions,Parabolas and Modeling Using Quadratic Equations7 .3 Solving Quadratic Equations and Inequalities by Factoring7 .4 Using the Quadratic Formula to find Real Solutions7 .5 More Applications of Quadratic Equations7 .6 Complex Numbers7 .7 Solving Quadratic Equations with Complex SolutionsChapter Eight: Rational Functions8 .1 Properties of the Graphs of Rational Functions and Reducing Rational Expressions8 .2 Multiplying and Dividing Rational Expressions8 .3 Adding and Subtracting Rational Expressions8 .4 Combining Operations and Simplifying Complex Rational Expressions8 .5 Solving Equations Containing Rational Expressions8 .6 Inverse and Joint Variation and Other Applications Yielding Equations with Fractions Cumulative Review of Chapters 1-8Chapter Nine: Square Root and Cube Root Functions and Rational Exponents9 .1 Evaluating Radical Expressions and Graphing Square Root and Cube Root Functions9 .2 Adding and Subtracting Radical Expressions9 .3 Multiplying and Dividing Radical Expressions9 .4 Solving Equations Containing Radical Expressions9 .5 Rational Exponents and RadicalsChapter Ten: Exponential and Logarithmic Functions10 .1 Geometric Sequences and Properties of the Graphs of Exponential Functions10 .2 Inverse Functions10 .3 Logarithmic Functions10 .4 Evaluating Logarithms10 .5 Properties of Logarithms10 .6 Solving Exponential and Logarithmic Equations10 .7 Exponential Curve Fitting and Other Applications of Exponential and Logarithmic Equations Cumulative Review of Chapters 1-10Chapter Eleven: A Preview of College Algebra11 .1 Solving Systems of Linear Equations Using Augmented Matrices11 .2 Systems of Linear Equations in Three Variables

11 .3 Horizontal and Vertical Translations of the Graphs of Functions11 .4 Stretching, Shrinking and Reflecting Graphs of Functions11 .5 Algebra of Functions11 .6 Sequences, Series and Summation Notation11 .7 Conic Sections

International EditionNew

ELEMENTARY AND INTERMEDIATE ALGEBRA3rd Edition


2008 (February 2007) / 1152 pagesISBN-13: 978-0-07-304823-9 / MHID: 0-07-304823-2ISBN-13: 978-0-07-110193-6 / MHID: 0-07-110193-4 [IE]ISBN-13: 978-0-07-330961-3 / MHID: 0-07-330961-3 (with MathZone)

Browse http://www.mhhe.com/barattoElementary & Intermediate Algebra, 3/e by Baratto/Bergman is part of the latest offerings in the successful Streeter-Hutchison Series in Mathematics . The third edition continues the hallmark approach of encouraging the learning of mathematics by focusing its coverage on mastering math through practice . This worktext seeks to provide carefully detailed explanations and accessible pedagogy to introduce beginning and intermediate algebra concepts and put the content in context . The authors use a three-pronged approach (I . Communication, II . Pattern Recognition, and III . Problem Solving) to present the material and stimulate critical thinking skills . Items such as Math Anxiety boxes, Check Yourself exercises, and Activities represent this approach and the underlying philosophy of mastering math through practice . The exercise sets have been expanded, organized, and clearly labeled . Vocational and professional-technical exercises have been added throughout . Repeated exposure to this consistent structure should help advance the student’s skills in relating to mathematics . The book is designed for a combined beginning and intermediate algebra course, or it can be used across two courses, and is appropriate for lecture, learning center, laboratory, or self-paced courses . It is accompanied by numerous useful supplements, including McGraw-Hill’s online homework management system, MathZone .

New to this editioN


ACTIVITIES--An Activity is included in each chapter . These �Activities promote active learning by requiring students to find, interpret, and manipulate real-world data . The Activity in each chapter relates to the chapter-opening vignette, providing cohesiveness to the chapter . Students can complete the Activities on their own, but are best solved in small groups .



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RESTRUCTURING OF END-OF-SECTION EXERCISES--The �comprehensive End-of-Section exercises have been reorganized to more clearly identify the different types of exercises being presented . This structure highlights the progression in level and type of exercise for each section . The application exercises that are now integrated into every section are a crucial component of this organization .


CoNteNts0 Prealgebra Review0 .1 A Review of Fractions0 .2 Real Numbers0 .3 Adding and Subtracting Real Numbers0 .4 Multiplying and Dividing Real Numbers0 .5 Exponents and Order of Operation1 From Arithmetic to Algebra1 .1 Transition to Algebra1 .2 Evaluating Algebraic Expressions1 .3 Adding and Subtracting Algebraic Expressions1 .4 Sets2 Equations and Inequalities2 .1 Solving Equations by Adding and Subtracting2 .2 Solving Equations by Multiplying and Dividing2 .3 Combining the Rules to Solve Equations2 .4 Literal Equations and Their Applications2 .5 Solving Linear Inequalities Using Addition2 .6 Solving Linear Inequalities Using Multiplication2 .7 Solving Absolute Value Equations (Optional)2 .8 Solving Absolute Value Inequalities (Optional)3 Graphs and Linear Equations3 .1 Solutions of Equations in Two Variables3 .2 The Cartesian Coordinate System3 .3 The Graph of a Linear Equation3 .4 The Slope of a Line3 .5 Forms of Linear Equations3 .6 Graphing Linear Inequalities in Two Variables4 Exponents and Polynomials4 .1 Positive Integer Exponents4 .2 Zero and Negative Exponents and Scientific Notation4 .3 Introduction to Polynomials4 .4 Addition and Subtraction of Polynomials4 .5 Multiplication of Polynomials and Special Products4 .6 Division of Polynomials5 Factoring Polynomials5 .1 An Introduction to Factoring5 .2 Factoring Special Polynomials5 .3* Factoring Trinomials: Trial and Error5 .4 Factoring Trinomials: The ac method5 .5 Strategies in Factoring5 .6 Solving Quadratic Equations by Factoring5 .7 Problem Solving with Factoring6 A Beginning Look at Functions6 .1 Relations and Functions6 .2 Tables and Graphs6 .3 Algebra of Functions6 .4 Composition of Functions6 .5 Substitution and Synthetic DivisionR A Review of Elementary AlgebraR .1 From Arithmetic to AlgebraR .2 Equations and InequalitiesR .3 Graphs and Linear EquationsR .4 Exponents and PolynomialsR .5 A Beginning Look at FunctionsR .6 Factoring Polynomials7 Rational Expressions7 .1 Simplifying Rational Expressions7 .2 Multiplication and Division of Rational Expressions

7 .3 Addition and Subtraction of Rational Expressions7 .4 Complex Fractions7 .5 Solving Rational Expressions7 .6 Solving Rational Inequalities8 Systems of Linear Equations and Inequalities8 .1 Solving Systems of Linear Equations by Graphing8 .2 Systems of Equations in Two Variables with Applications8 .3 Systems of Linear Equations in Three Variables8 .4 Systems of Linear Inequalities in Two Variables8 .5 Matrices (Optional)9 Graphical Solutions9 .1 Solving Equations in One Variable Graphically9 .2 Solving Linear Inequalities in One Variable Graphically9 .3 Solving Absolute Value Equations Graphically9 .4 Solving Absolute Value Inequalities Graphically10 Radicals and Exponents10 .1 Roots and Radicals10 .2 Simplifying Radical Expressions10 .3 Operations on Radical Expressions10 .4 Solving Radical Equations10 .5 Rational Exponents 10 .6 Complex Numbers11 Quadratic Functions11 .1 Solving Quadratic Equations by Completing the Square11 .2 The Quadratic Formula11 .3 An Introduction to the Parabola11 .4 Solving Quadratic Inequalities12 Conic Sections12 .1 Conic Sections and the Circle12 .2 Ellipses12 .3 Hyperbolas13 Exponential and Logarithmic Functions13 .1 Inverse Relations and Functions13 .2 Exponential Functions13 .3 Logarithmic Functions13 .4 Properties of Logarithms13 .5 Logarithmic and Exponential Equations / Appendix A / Appendix A .1 Determinants and Cramer’s Rule






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ELEMENTARY AND INTERMEDIATE ALGEBRAAlternate Hardcover Edition, Third EditionBy Donald Hutchinson, Stefan Baratto and Barry Bergman of Clackamas Community College2008 (February 2007)ISBN-13: 978-0-07-330931-6 / MHID: 0-07-330931-1

http://www.mhhe.com/barattoA Unified Text That Serves Your Needs. Most colleges offering elementary and intermediate algebra use two different texts, one for each course . As a result, students may be required to purchase two texts; this can result in a considerable amount of topic overlap . Over the last few years, several publishers have issued “combined” texts that take chapters from two texts and merge them into a single book . This has allowed students to purchase a single text, but it has done little to reduce the overlap . The goal of this author team has been to produce a text that was more than a combined text . They wanted to unify the topics and themes of beginning and intermediate algebra in a fluid, non-repetitive text. We also wanted to produce a text that will prepare students from different mathematical backgrounds for college algebra . We believe we have accomplished our goals . For students entering directly from an arithmetic or pre-algebra course, this is a text that contains all of the material needed to prepare for college algebra . It can be offered in two quarters or in two semesters . The new Review Chapter found between chapters 6 and 7 serves as a mid-book review for students preparing to take a final exam that covers the first seven chapters. Finally, we have produced a text that will accommodate those students placing into the second term of a two-term sequence . Here is where the Review Chapter is most valuable . It gives the students an opportunity to check that they have all of the background required to begin in Chapter 7 . If the students struggle with any of the material in the Review Chapter, they are referred to the appropriate section for further review .

New to this editioN

A new Review Chapter replaces “Moving to the Intermediate �Algebra Level .” The Review Chapter provides a concise, comprehensive review of chapters 1 through 6 . The chapter contains review exercises and section references .

Overcoming Math Anxiety Boxes - Located within the first �few chapters are suggestions on overcoming math anxiety . These suggestions are designed to be timely and useful, The are the same suggestions most instructors make in class, but sometimes those words are given extra weight when students see them in print .

The chapter on functions now follows the chapter on �polynomials .

Several new sections have been added to the text: Problem �Solving with Factoring A General Strategy for Factoring Rational Functions Solving Radical Equations

CoNteNts0 Prealgebra Review0 .1 A Review of Fractions0 .2 Real Numbers0 .3 Adding and Subtracting Real Numbers0 .4 Multiplying and Dividing Real Numbers0 .5 Exponents and Order of Operation1 From Arithmetic to Algebra1 .1 Transition to Algebra1 .2 Evaluating Algebraic Expressions1 .3 Adding and Subtracting Algebraic Expressions1 .4 Sets2 Equations and Inequalities2 .1 Solving Equations by Adding and Subtracting

2 .2 Solving Equations by Multiplying and Dividing2 .3 Combining the Rules to Solve Equations2 .4 Literal Equations and Their Applications2 .5 Solving Linear Inequalities Using Addition2 .6 Solving Linear Inequalities Using Multiplication2 .7 Solving Absolute Value Equations (Optional)2 .8 Solving Absolute Value Inequalities (Optional)3 Graphs and Linear Equations3 .1 Solutions of Equations in Two Variables3 .2 The Cartesian Coordinate System3 .3 The Graph of a Linear Equation3 .4 The Slope of a Line3 .5 Forms of Linear Equations3 .6 Graphing Linear Inequalities in Two Variables4 Exponents and Polynomials4 .1 Positive Integer Exponents4 .2 Zero and Negative Exponents and Scientific Notation4 .3 Introduction to Polynomials4 .4 Addition and Subtraction of Polynomials4 .5 Multiplication of Polynomials and Special Products4 .6 Division of Polynomials5 Factoring Polynomials5 .1 An Introduction to Factoring5 .2 Factoring Special Polynomials5 .3* Factoring Trinomials: Trial and Error5 .4 Factoring Trinomials: The ac method5 .5 Strategies in Factoring5 .6 Solving Quadratic Equations by Factoring5 .7 Problem Solving with Factoring6 A Beginning Look at Functions6 .1 Relations and Functions6 .2 Tables and Graphs6 .3 Algebra of Functions6 .4 Composition of Functions6 .5 Substitution and Synthetic DivisionR A Review of Elementary AlgebraR .1 From Arithmetic to AlgebraR .2 Equations and InequalitiesR .3 Graphs and Linear EquationsR .4 Exponents and PolynomialsR .5 A Beginning Look at FunctionsR .6 Factoring Polynomials7 Rational Expressions7 .1 Simplifying Rational Expressions7 .2 Multiplication and Division of Rational Expressions7 .3 Addition and Subtraction of Rational Expressions7 .4 Complex Fractions7 .5 Solving Rational Expressions7 .6 Solving Rational Inequalities8 Systems of Linear Equations and Inequalities8 .1 Solving Systems of Linear Equations by Graphing8 .2 Systems of Equations in Two Variables with Applications8 .3 Systems of Linear Equations in Three Variables8 .4 Systems of Linear Inequalities in Two Variables8 .5 Matrices (Optional)9 Graphical Solutions9 .1 Solving Equations in One Variable Graphically9 .2 Solving Linear Inequalities in One Variable Graphically9 .3 Solving Absolute Value Equations Graphically9 .4 Solving Absolute Value Inequalities Graphically10 Radicals and Exponents10 .1 Roots and Radicals10 .2 Simplifying Radical Expressions10 .3 Operations on Radical Expressions10 .4 Solving Radical Equations10 .5 Rational Exponents10 .6 Complex Numbers11 Quadratic Functions11 .1 Solving Quadratic Equations by Completing the Square11 .2 The Quadratic Formula11 .3 An Introduction to the Parabola


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11 .4 Solving Quadratic Inequalities12 Conic Sections12 .1 Conic Sections and the Circle12 .2 Ellipses12 .3 Hyperbolas13 Exponential and Logarithmic Functions13 .1 Inverse Relations and Functions13 .2 Exponential Functions13 .3 Logarithmic Functions13 .4 Properties of Logarithms13 .5 Logarithmic and Exponential EquationsAppendix AAppendix A .1 Determinants and Cramer’s Rule

New

BEGINNING AND INTERMEDIATE ALGEBRA2nd Edition

By Julie Miller and Molly O’Neill of Daytona Beach CC-Daytona Beach

2008 (January 2007) ISBN-13: 978-0-07-331269-9 / MHID: 0-07-331269-X

Browse: http://www.mhhe.com/miller_oneillBuilding on its first-edition success, Beginning & Intermediate Algebra 2/e by Miller/O’Neill continues to offer an enlightened approach grounded in the fundamentals of classroom experience . The practice of many instructors in the classroom is to present examples and have their students solve similar problems . This is realized through the Skill Practice Exercises that directly follow the examples in the textbook . Throughout the text, the authors have integrated many Study Tips and Avoiding Mistakes hints, which are reflective of the comments and instruction presented to students in the classroom . In this way, the text communicates to students, the very points their instructors are likely to make during lecture, helping to reinforce the concepts and provide instruction that leads students to mastery and success . The authors included in this edition, Problem-Recognition exercises, that many instructors will likely identify to be similar to worksheets they have personally developed for distribution to students . The intent of the Problem-Recognition exercises, is to help students overcome what is sometimes a natural inclination toward applying problem-sovling algorithms that may not always be appropriate . In addition, the exercise sets have been revised to include even more core exercises than were present in the first edition. This permits instructors to choose from a wealth of problems, allowing ample opportunity for students to practice what they learn in lecture to hone their skills and develop the knowledge they need to make a successful transition into College Algebra . In this way, the book perfectly complements any learning platform, whether traditional lecture or distance-learning; its instruction is so reflective of what comes from lecture, that students will feel as comfortable outside of class, as they do inside class with their instructor . For even more support, students have access to a wealth of supplements, including McGraw-Hill’s online homework management system, MathZone .

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NEW! Problem Recognition Exercises Developmental math �students are sometimes conditioned into algorithmic thinking to the point where they want to automatically apply various algorithms to solve problems, whether it is meaningful or not . These exercises were built to decondition students from falling into that trap . Carefully crafted by the authors, the exercises focus on the situations where

students most often get “mixed-up .” Working the Problem Recognition Exercises, students become conditioned to Stop, Think, and Recall what method is most appropriate to solve each problem in the set .

NEW! Skill Practice exercises follow immediately after the �examples in the text . Answers are provided so students can check their work . By utilizing these exercises, students can test their understanding of the various problem-solving techniques given in the examples .

NEW! The section-ending Practice Exercises are newly revised, �with even more core exercises appearing per exercise set . Many of the exercises are grouped by section objective, so students can refer back to content within the section if they need some assistance in completing homework . Review Problems appear at the beginning of most Practice Exercise Sets to help students improve their study habits and to improve their long-term retention of concepts previously introduced .

NEW! Mixed Exercises are found in many of the Practice Exercise �sets . The Mixed Exercises contain no references to objectives . In this way, students are expected to work independently without prompting--which is representative of how they would work through a test or exam .

NEW! Study Skills Exercises appear at the beginning of the �Practice Exercises, where appropriate . They are designed to help students learn techniques to improve their study habits including exam preparation, note taking, and time management .

NEW! The Chapter Openers now include a variety of puzzles �that may be used to motivate lecture . Each puzzle is based on key vocabulary terms or concepts that are introduced in the chapter .

Classroom Activities are optional exercises that can be worked �out in class by individual students, or a group of students who work collaboratively . The Annotated Instructor’s Edition refers to the classroom activities, which are found in the Instructor’s Resource Manual . Instructors have the option of making the classroom activities available to students for use in class in conjunction with lecture, or for use as extra practice in conjunction with homework .

MathZone, accessible via the Internet or through CD-ROM, will �allow the instructors and students to get all of the necessary help they need to be successful in the course including state of the art lecture videos, eProfessor practice, many problems from the text algorithmically generated, a unified gradebook and a course built online quickly and easily . MathZone icons will appear throughout the text to tell the student when it’s appropriate to go to MathZone to either do the problems, watch the videos, or get extra help .

CoNteNtsChapter R: Reference: Study Skills, Fractions, and GeometryR .1 Study TipsR .2 FractionsR .3 Introduction to GeometryChapter 1: The Set of Real Numbers1 .1 Sets of Numbers and the Real Number Line1 .2 Order of Operations1 .3 Addition of Real Numbers1 .4 Subtraction of Real Numbers Mixed Review Exercises – Addition and Subtraction of Real Numbers1 .5 Multiplication and Division of Real Numbers1 .6 Properties of Real Numbers and Simplifying Expressions Chapter 1Summary Chapter 1Review ExercisesChapter 1 TestChapter 2: Linear Equations and Inequalities2 .1 Addition, Subtraction, Multiplication, and Division Properties of Equality2 .2 Solving Linear Equations2 .3 Linear Equations: Clearing Fractions and Decimals2 .4 Applications of Linear Equations: Introduction to Problem Solving

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2 .5 Applications Involving Percents2 .6 Formulas and Applications of Geometry2 .7 Linear Inequalities Chapter 2Summary Chapter 2Review ExercisesChapter 2 TestCumulative Review Exercises Chapters 1 – 2Chapter 3: Graphing Linear Equations in Two Variables3 .1 Rectangular Coordinate System (BA 2nd ed hardback—Section 3 .1)3 .2 Linear Equations in Two Variables3 .3 X- and Y-Intercepts, Horizontal and Vertical Lines3 .4 Slope of a Line (BA 2nd ed hardback – Section 3 .3)3 .5 Slope-Intercept Form of a Line (BA 2nd ed hardback – Section 3 .4)3 .6 Point-Slope Formula (BA 2nd ed hardback – Section 3 .5 )3 .7 Applications of Linear Equations (BA 2nd ed hardback, Section 3 .6)Chapter 3 SummaryChapter 3 Review ExercisesChapter 3 Test CumulativeReview Exercises Chapters 1 – 3Chapter 4: Systems of Linear Equations4 .1 Introduction to Systems of Linear Equations4 .2 Substitution Method4 .3 Addition Method4 .4 Applications of Linear Equations in Two VariablesChapter 4 SummaryChapter 4 Review ExercisesChapter 4 Test CumulativeReview Exercises Chapters 1 – 4Chapter 5: Polynomials and Properties of Exponents5 .1 Exponents: Multiplying and Dividing Common Bases5 .2 More Properties of Exponents5 .3 Definitions of b0 and b-n5 .4 Scientific Notation Mixed Review Exercises – Properties of Exponents5 .5 Addition and Subtraction of Polynomials5 .6 Multiplication of Polynomials5 .7 Division of Polynomials Mixed Review Exercises – Operations on PolynomialChapter 5 SummaryChapter 5 Review ExercisesChapter 5 TestChapter 6: Factoring Polynomials6 .1 Greatest Common Factor and Factoring by Grouping6 .2 Factoring Trinomials of the form ax2 + bx + c (Optional)6 .3 Factoring Trinomials: Trial-and-Error Method6 .4 Factoring Trinomials: The Grouping Method6 .5 Factoring Binomials6 .6 General Factoring Summary6 .7 Solving Equations by Using the Zero Product RuleChapter 6 SummaryChapter 6 Review ExercisesChapter 6 Test CumulativeReview Exercises Chapters 1 – 6Chapter 7: Rational Expressions7 .1 Introduction to Rational Expressions (this section introduces a definition of domain)7 .2 Multiplication and Division of Rational Expressions7 .3 Least Common Denominator7 .4 Addition and Subtraction of Rational Expressions7 .5 Complex Fractions Mixed Review Exercises – Operations on Rational Expressions7 .6 Rational Equations Mixed Review Exercises – Comparing Rational Equations and Rational Expressions7 .7 Applications of Rational Equations, Ratios and ProportionsChapter 7 SummaryChapter 7 Review ExercisesChapter 7 Test CumulativeReview Exercises Chapters 1 – 7

Chapter 8: Introduction to Relations and Functions8 .1 Review of Graphing8 .2 Introduction to Relations8 .3 Introduction to Functions8 .4 Graphs of Basic Functions8 .5 VariationChapter 8 SummaryChapter 8 Review ExercisesChapter 8 Test CumulativeReview Exercises, Chapters 1 – 8Chapter 9: Systems of Linear Equations in Three Variables9 .1 Systems of Linear Equations in Three Variables9 .2 Applications of Systems of Equations in Three Variables9 .3 Solving systems of Linear Equations Using Matrices IA 2e hardcover, 3 .69 .4 Determinants and Cramer’s Rule (combined 8 .7 or 2nd ed hard IA appendix A .2)Chapter 9 SummaryChapter 9 Review ExercisesChapter 9 Test CumulativeReview Exercises, Chapters 1 – 9Chapter 10: More Equations and Inequalities10 .1 Compound Inequalities10 .2 Polynomial and Rational Inequalities10 .3 Absolute Value Equations10 .4 Absolute Value Inequalities Mixed Review Exercises – Equations and Inequalities10 .5 Linear Inequalities in Two VariablesChapter 10 SummaryChapter 10 Review ExercisesChapter 10 Test CumulativeReview Exercises, Chapters 1 – 10Chapter 11: Radicals and Complex Numbers11 .1 Definition of an nth-Root11 .2 Rational Exponents11 .3 Properties of Radicals11 .4 Addition and Subtraction of Radicals11 .5 Multiplication of Radicals11 .6 Rationalization Mixed Review Exercises – Operations on Radicals (from Chapter 8 BA 2nd ed .)11 .7 Radical Equations11 .8 Complex NumbersChapter 11 SummaryChapter 11 Review ExercisesChapter 11 Test CumulativeReview Exercises, Chapters 1 – 11Chapter 12: Quadratic Equations and Functions12 .1 Square Root Property and Completing the Square12 .2 Quadratic Formula12 .3 Equations in Quadratic Form12 .4 Graphs of Quadratic Functions12 .5 Applications of Quadratic FunctionsChapter 12 SummaryChapter 12 Review ExercisesChapter 12 Test CumulativeReview Exercises, Chapters 1 – 12Chapter 13: Exponential and Logarithmic Functions13 .1 Algebra of Functions and Composition of Functions13 .2 Inverse Functions13 .3 Exponential Functions13 .4 Logarithmic Functions13 .5 Properties of Logarithms13 .6 The Irrational Number, e13 .7 Exponential and Logarithmic EquationsChapter 13 SummaryChapter 13 Review ExercisesChapter 13 Test CumulativeReview Exercises, Chapters 1 – 13Chapter 14: Conic Sections and Nonlinear Systems14 .1 Distance Formulas and Circles14 .2 More on the Parabola


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14 .3 Ellipse and Hyperbola14 .4 Nonlinear Systems of Equations in Two Variables14 .5 Nonlinear Inequalities and Systems of InequalitiesChapter 14 SummaryChapter 14 Review ExercisesChapter 14 Test CumulativeReview Exercises, Chapters 1 – 14Chapter 15: Sequences, Series, and Binomial Theorem Counting, and Probability15 .1 Sequences and Series15 .2 Arithmetic and Geometric Sequences and Series15 .3 Binomial Expansions15 .4 Fundamentals of Counting15 .5 Introduction to ProbabilityChapter 15 SummaryChapter 15 Review ExercisesChapter 15 Test CumulativeReview Exercises, Chapters 1 – 15Beginning Algebra Review:Review A Review of The Set of Real NumbersReview B Review of Linear Equations and InequalitiesReview C Review of Graphing (authors need to revise)Review D Review of Polynomials and Properties of ExponentsReview E Review of Factoring PolynomialsReview F Review of Rational ExpressionsAppendix A .1 Synthetic DivisionAppendix A .2 Mean, Median, and Mode

BEGINNING AND INTERMEDIATE ALGEBRA:A Unified WorktextBy James Streeter (deceased); Donald Hutchison, Clackamas Community College; Barry Bergman, Clackamas Community College and Stefan Baratto, Clackamas Community College2004 / 1,232 pages ISBN-13: 978-0-07-301614- 6 / MHID: 0-07-301614-4 (with MathZone)

http://www.mhhe.com/hallCoNteNtsPrealgebra ReviewPrime FactorizationReview of Fractions, Decimals, and Percents1 Real Numbers and Algebraic Expressions:Addition and Subtraction of Real NumbersMultiplication and Division of Real Numbers .Variables and Algebraic Expressions .Properties of Exponents and Scientific Notation .Order of Operations .2 Equations and Inequalities:The Addition Property of Equality .The Multiplication Property of Equality .Solve Linear Equations .The Number Line .Linear Inequalities .Absolute Value Equations and Inequalities .Applications and Problem Solving .3 Graph Linear Equations and Inequalities in Two Variables: The Cartesian Coordinate System .The Graph of a Line .The Slope of a Line .Graph a Line Using the Slope-Intercept Method .Find the Equation of a Line .Graph Linear Inequalities .Applications and Problem Solving .4 Systems of Linear Equations and Inequalities:Solve Systems of Linear Equations by Graphing .

Solve Systems of Linear Equations by Substitution .Solve Systems of Linear Equations by Addition .Solve Systems of Linear Inequalities .Applications and Problem Solving .5 Polynomials:An Introduction to Polynomials .Add and Subtract Polynomials .Multiply Polynomials .Divide Polynomials .Synthetic Division .6 Factoring:The Greatest Common Factor and Factor by Grouping .Use Special Patterns to Factor .Factor Trinomials of the form x2 + bx + c .Factor Trinomials for the form ax2 + bx + c .Solve Equaitons by Factoring .Applications and Problem Solving .Review of Beginning Algebra.Real Numbers and Algebraic Expressions .Equations and Inequalities .Graphs of Linear Equations and Inequalities .Systems of Linear Equations and Inequalities .R .5 Polynomials .Factoring .7 Rational Expressions:Evaluate and Simplify Rational Expressions .Multiply and Divide Rational Expressions .Add and Subtract Rational Expressions .Simplify Complex Fractions .Solve Rational Equations .Solve Literal Equations .Applications and Problem Solving .8 Functions:Relations and Functions .Tables and Graphs .Algebra of Functions .Composition of Functions .One-to-One and Inverse Functions .9 Radicals and Rational Exponents:Evaluate Radicals .Simplify Radicals .Add and Subtract Radicals .Multiply and Divide Radicals .Radicals and Rational Exponents .Solve Radical Equations . Complex Numbers .Applications and Problem Solving .10 Quadratic Equations and Inequalities:Graphs of Quadratic Functions .Solve Quadratic Equations Using Radicals .Complete the Square .The Quadratic Formula .Solve Equatioins in Quadratic Form .Solve Quadratic Inequalities .11 Exponential and Logarithmic Functions:Exponential Functions .Logarithmic Functions .Properties of Logarithms .Solve Logarithmic and Exponential Equations .Applications and Problem Solving .12 Conic Sections:Parabolas .Circles .Ellipses .Hyperbolas .Systems of Nonlinear Equations and Inequalities .AppendicesA .1 MatricesA .2 Determinants

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MATH WORD PROBLEMS DEMYSTIFIEDBy Allan G Bluman, Community College of Allegheny County-South2004 / Softcover / 308 pages ISBN-13: 978-0-07-144316-6 / MHID: 0-07-144316-9A Professional PublicationCoNteNtsPreface .Lesson 1: Introduction to Solving Word Problems .Lesson 2: Solving Word Problems Using Whole Numbers .REFRESHER I: DECIMALS:Lesson 3: Solving Word Problems Using Decimals .REFRESHER II: FRACTIONS:Lesson 4: Solving Word Problems Using Fractions .QUIZ 1 .REFRESHER III: PERCENTS:Lesson 5: Solving Word Problems Using Percents .Lesson 6: Solving Word Problems Using Proportions .Lesson 7: Solving Word Problems Using Formulas .QUIZ 2 .REFRESHER IV: EQUATIONS:Lesson 8: Algebraic Representation .Lesson 9: Solving Number Problems .Lesson 10: Solving Digit Problems .Lesson 11: Solving Coin Problems .QUIZ 3:Lesson 12: Solving Age Problems .Lesson 13: Solving Distance Problems .Lesson 14: Solving Mixture Problems .Lesson 15: Solving Finance Problems .Lesson 16: Solving Lever Problems .Lesson 17: Solving Work Problems .QUIZ 4 .REFRESHER V: SYSTEMS OF EQUATIONS:Lesson 18: Solving Word Problems Using Two Equations .REFRESHER VI: QUADRATIC EQUATIONS:Lesson 19: Solving Word Problems Using Quadratic Equations .Lesson 20: Solving Word Problems in Geometry .QUIZ 5 .Lesson 21: Solving Word Problems Using Other Strategies .Lesson 22: Solving Word Problems in Probability .Lesson 23: Solving Word Problems in Statistics .Quiz 6 .Final Exam . Answer To Quizzes And Final Exam .Supplement: Suggestions For Success In Mathematics .Index

Intermediate Algebra

New

INTERMEDIATE ALGEBRASixth Edition

By Mark Dugopolski


Browse: http://www.mhhe.com/dugopolskiIntermediate Algebra, 6e is part of the latest offerings in the successful Dugopolski series in mathematics . The author’s goal is to explain mathematical concepts to students in a language they can understand. In this book, students and faculty will find short, precise explanations of terms and concepts written in understandable language . The author uses concrete analogies to relate math to everyday experiences . For example, when the author introduces the Commutative Property of Addition, he uses a concrete analogy that “the price of a hamburger plus a Coke is the same as a Coke plus a hamburger” . Given the importance of examples within a math book, the author has paid close attention to the most important details for solving the given topic . Dugopolski includes a double cross-referencing system between the examples and exercise sets, so no matter which one the students start with, they will see the connection to the other. Finally, the author finds it important to not only provide quality, but also a good quantity of exercises and applications . The Dugopolski series is known for providing students and faculty with the most quantity and quality of exercises as compared to any other developmental math series on the market . In completing this revision, Dugopolski feels he has developed the clearest and most concise developmental math series on the market, and he has done so without comprising the essential information every student needs to become successful in future mathematics courses . The book is accompanied by numerous useful supplements, including McGraw-Hill’s online homework management system, MathZone .

New to this editioN




McGraw-Hill’s MathZone is a complete, online tutorial and �course management system for mathematics and statistics, designed for greater ease of use than any other system available . Instructors can create and share courses and assignments with colleagues and adjuncts in a matter of a few clicks of a mouse . All instructor teaching resources are accessed online, as well as student assignments, questions, e-Professors, online tutoring and video lectures which are directly tied to text specific material . MathZone courses are customized to your textbook, but you can edit questions and algorithms, import your own content, create announcements and due dates for assignments . MathZone has automatic grading and reporting of easy-to-assign algorithmically

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generated homework, quizzing and testing . Student activity within MathZone is automatically recorded and available to you through a fully integrated grade book than can be downloaded to Excel . Go to www .mathzone .com to learn more .

CoNteNtsTO THE STUDENTPREFACE1 The Real Numbers1 .1 Sets1 .2 The Real Numbers1 .3 Operations on the Set of Real Numbers1 .4 Evaluating Expressions1 .5 Properties of the Real Numbers1 .6 Using the PropertiesChapter 1 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 1 Test• Critical Thinking2 Linear Equations and Inequalities in One Variable2 .1 Linear Equations in One Variable2 .2 Formulas and Functions2 .3 Applications2 .4 Inequalities2 .5 Compound Inequalities2 .6 Absolute Value Equations and InequalitiesChapter 2 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 2 Test• Making Connections: A review of Chapters 1-2• Critical Thinking3 Linear Equations and Inequalities in Two Variables3 .1 Graphing Lines in the Coordinate Plane3 .2 Slope of a Line3 .3 Three Forms for the Equation of a Line3 .4 Linear Inequalities and Their Graphs3 .5 Functions and RelationsChapter 3 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 3 Test• Making Connections: a review of Chapters 1-3• Critical Thinking4 Systems of Linear Equations4 .1 Solving Systems by Graphing and Substitution4 .2 The Addition Method4 .3 Systems of Linear Equations in Three Variables4 .4 Solving Linear Systems Using Matrices4 .5 Determinants and Cramer’s Rule4 .6 Linear ProgrammingChapter 4 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 4 Test• Making Connections: a review of Chapters 1-4• Critical Thinking5 Exponents and Polynomials5 .1 Integral Exponents and Scientific Notation5 .2 The Power Rules5 .3 Polynomials and Polynomial Functions5 .4 Multiplying Binomials5 .5 Factoring Polynomials5 .6 Factoring ax² + bx + c5 .7 Factoring Strategy5 .8 Solving Equations by Factoring

Chapter 5 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 5 Test• Making Connections: a review of Chapters 1-5• Critical Thinking6 Rational Expressions and Functions6 .1 Properties of Rational Expressions and Functions6 .2 Multiplication and Division6 .3 Addition and Subtraction6 .4 Complex Fractions6 .5 Division of Polynomials6 .6 Solving Equations Involving Rational Expressions6 .7 ApplicationsChapter 6 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 6 Test• Making Connections: a review of Chapters 1-6• Critical Thinking7 Radicals and Rational Exponents7 .1 Radicals7 .2 Rational Exponents7 .3 Adding, Subtracting, and Multiplying Radicals7 .4 Quotients, Powers, and Rationalizing Denominators7 .5 Solving Equations with Radicals and Exponents7 .6 Complex NumbersChapter 7 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 7 Test• Making Connections: a review of Chapters 1-7• Critical Thinking8 Quadratic Equations, Functions, and Inequalities8 .1 Factoring and Completing the Square8 .2 The Quadratic Formula8 .3 More on Quadratic Equations8 .4 Quadratic Functions and Their Graphs8 .5 Quadratic and Rational InequalitiesChapter 8 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 8 Test• Making Connections: a review of Chapters 1-8• Critical Thinking9 Additional Function Topics9 .1 Graphs of Functions and Relations9 .2 Transformations of Graphs9 .3 Combining Functions9 .4 Inverse Functions9 .5 VariationChapter 9 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 9 Test• Making Connections: a review of Chapters 1-9• Critical Thinking10 Exponential and Logarithmic Functions10 .1 Exponential Functions and Their Applications10 .2 Logarithmic Functions and Their Applications10 .3 Properties of Logarithms10 .4 Solving Equations and ApplicationsChapter 10 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises

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• Chapter 10 Test• Making Connections: a review of Chapters 1-10• Critical Thinking11 Nonlinear Systems and the Conic Sections11 .1 Nonlinear Systems of Equations11 .2 The Parabola11 .3 The Circle11 .4 The Ellipse and Hyperbola11 .5 Second-Degree InequalitiesChapter 11 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 11 Test• Making Connections: a review of Chapters 1-11• Critical Thinking12 Sequences and Series12 .1 Sequences12 .2 Series12 .3 Arithmetic Sequences and Series12 .4 Geometric Sequences and Series12 .5 Binomial ExpansionsChapter 12 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 12 Test• Making Connections: a review of Chapters 1-12• Critical ThinkingAppendix AAnswers to Selected ExercisesIndex

New

INTERMEDIATE ALGEBRA

By Donald Hutchison, Stefan Baratto of Clackamas Community College and Barry Bergman, Clackamas Community College


Browse http://www.mathzone.com/hutchinsonIntermediate Algebra by Baratto/Kohlmetz/Bergman is part of the latest offerings in the successful Streeter-Hutchison Series in Mathematics . By popular demand, we are now offering an Intermediate Algebra book in the series again . This book combines the best of earlier versions of Intermediate Algebra, along with new material requested by a cross-section of Intermediate Algebra instructors across the country. This first edition maintains the hallmark approach of encouraging the learning of mathematics by focusing its coverage on mastering math through practice . This worktext seeks to provide carefully detailed explanations and accessible pedagogy to introduce intermediate algebra concepts and put the content in context . The authors use a three-pronged approach (I . Communication, II . Pattern Recognition, and III . Problem Solving) to present the material and stimulate critical thinking skills . Items such as Math Anxiety boxes, Check Yourself exercises, and Activities represent this approach and the underlying philosophy of mastering math through practice . The exercise sets are well-organized, and clearly labeled . Vocational and professional-technical exercises have been included throughout . Repeated exposure to this consistent structure should help advance the student’s skills in relating to mathematics . The book is designed for a one-semester intermediate algebra course and is appropriate for lecture, learning center, laboratory, or self-paced courses . It is accompanied by numerous useful supplements, including McGraw-Hill’s online homework management system, MathZone .

Features

“MAKE THE CONNECTION”--Chapter-Opening Vignettes �provide students with interesting, relevant scenarios that will capture their attention and engage them in the upcoming material . Furthermore, exercises and Activities related to the Opening Vignettes are included in each chapter . These exercises are marked with a special icon next to them .

ACTIVITIES--An Activity is included in each chapter . These �Activities promote active learning by requiring students to find, interpret, and manipulate real-world data . The Activity in each chapter relates to the chapter-opening vignette, providing cohesiveness to the chapter . Students can complete the Activities on their own, but are best solved in small groups .

CHECK YOURSELF EXERCISES--Check Yourself exercises �have been the hallmark of the Streeter-Hutchison Series; they are designed to actively involve students throughout the learning process . Each example is followed by an exercise that encourages students to solve a problem similar to the one just presented and check/practice what they have just learned . Answers to these exercises are provided at the end of the section for immediate feedback .

“READING YOUR TEXT”--This feature is a set of quick exercises �presented at the end of each section meant to quiz students vocabulary knowledge . These exercises are designed to encourage careful reading of the text . Answers to these exercises are provided at the end of the book .







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CLEAR STRUCTURE FOR END-OF-SECTION EXERCISES- �-The comprehensive End-of-Section exercises are organized to clearly identify the different types of exercises being presented . This structure highlights the progression in level and type of exercise for each section . The application exercises, which are integrated into every section, are a crucial component of this organization .

SUMMARY AND SUMMARY EXERCISES--The comprehensive �chapter summaries and exercises are found at the end of every chapter and review the important concepts from that chapter . The comprehensive Summaries at the end of each chapter enable students to review important concepts . The Summary Exercises provide an opportunity for the student to practice these important concepts . Answers to odd-numbered exercises are provided in the Answers Appendix .

CUMULATIVE REVIEWS--Cumulative Reviews are included �starting with Chapter 2, following the Self-Tests . These reviews help students build on previously covered material and give them an opportunity to reinforce the skills necessary in preparing for midterm and final exams . The answers to these exercises are also given at the end of the book, along with section references .


MathZone--MathZone, accessible via the Internet or through CD- �ROM, will allow the instructors and students to get all of the necessary help they need to be successful in the course--including state of the art lecture videos, eProfessor practice, many problems from the text algorithmically generated, a unified gradebook and a course built online quickly and easily . MathZone icons will appear throughout the text to tell the student when it’s appropriate to go to MathZone to either do the problems, watch the videos, or get extra help .

NEW TO THE HUTCHISON SERIES: Kelly Kaiser Kohlmetz, of �University of Wisconsin-Milwaukee, brings a great deal to the author team due to her experience in academics .

CoNteNts1 The Real Numbers1 .1 The Set of Real Numbers1 .2 Operations and Properties1 .3 Inequalities and Absolute Values1 .4 Algebraic Expressions1 .5 Properties of Exponents and Scientific Notation2 Linear Equations and Inequalities2 .1 Solutions of Linear Equations in One Variable2 .2 Literal Equations and Formulas2 .3 Applications and Problem Solving2 .4 Linear Inequalities2 .5 Absolute Value Equations and Inequalities3 Graphs of Linear Relations and Functions3 .1 Graphing Linear Equations3 .2 An Introduction to Functions3 .3 The Slope of a Line3 .4 Forms of Linear Equations3 .5 Graphing Absolute Value Functions and Linear Inequalities4 Systems of Linear Relations4 .1 Systems of Linear Equations in Two Variables4 .2 Systems of Linear Equations in Three Variables4 .3 Solving Systems of Equations Using Matrices4 .4 Graphing Systems of Linear Inequalities5 Polynomials and Polynomial Functions5 .1 Addition and Subtraction of Polynomials5 .2 Multiplication of Polynomials5 .3 Division of Polynomials5 .4 Common Factors and Factoring by Grouping5 .5 Factoring Special Binomials5 .6 Factoring Trinomials: Trial and Error

5 .7 Factoring Trinomials: The ac Method5 .8 Strategies in Factoring5 .9 Solving Quadratic Equations by Factoring 6 Rational Expressions and Functions6 .1 Simplification of Rational Expressions and Functions6 .2 Multiplication and Division of Rational Expressions6 .3 Addition and Subtraction of Rational Expressions6 .4 Complex Fractions6 .5 Solving Rational Equations 6 .6 Variation7 Radical and Radical Exponents7 .1 Roots and Radicals7 .2 Simplification of Radical Expressions7 .3 Operations on Radical Expressions7 .4 Solving Radical Equations7 .5 Geometric and Other Applications7 .6 Rational Exponents7 .7 Complex Numbers8 Quadratic Equations, Functions, and Inequalities8 .1 Graphing Factorable Quadratic Functions8 .2 Solving Quadratic Equations by Completing the Square8 .3 Solving Quadratic Equations by Using the Quadratic Formula8 .4 Solving Equations that are Quadratic in Form8 .5 Quadratic Inequalities and Rational Inequalities9 Conic Sections9 .1 Parabolas9 .2 Circles9 .3 Ellipses and Hyperbolas9 .4 Nonlinear Systems10 Additional Properties of Functions10 .1 Algebra of Functions10 .2 Composition of Functions10 .3 Inverse Relations and Functions11 Exponential and Logarithmic Functions11 .1 Exponential Functions11 .2 Logarithmic Functions11 .3 Properties of Logarithms11 .4 Solving Logarithmic and Exponential Equations / Appendix: Determinants and Cramer’s Rule

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[email protected]


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New

INTERMEDIATE ALGEBRASecond Edition

By Julie Miller and Molly O’Neill of Daytona Beach Community College

2008 (January 2007)ISBN-13: 978-0-07-331268-2 / MHID: 0-07-331268-1 (Hardcover)

Building on its first-edition success, Intermediate Algebra 2/e by Miller/O’Neill continues to offer an enlightened approach grounded in the fundamentals of classroom experience . The practice of many instructors in the classroom is to present examples and have their students solve similar problems . This is realized through the Skill Practice Exercises that directly follow the examples in the textbook . Throughout the text, the authors have integrated many Study Tips and Avoiding Mistakes hints, which are reflective of the comments and instruction presented to students in the classroom . In this way, the text communicates to students, the very points their instructors are likely to make during lecture, helping to reinforce the concepts and provide instruction that leads students to mastery and success . The authors included in this edition, Problem-Recognition exercises, that many instructors will likely identify to be similar to worksheets they have personally developed for distribution to students . The intent of the Problem-Recognition exercises, is to help students overcome what is sometimes a natural inclination toward applying problem-sovling algorithms that may not always be appropriate . In addition, the exercise sets have been revised to include even more core exercises than were present in the first edition. This permits instructors to choose from a wealth of problems, allowing ample opportunity for students to practice what they learn in lecture to hone their skills and develop the knowledge they need to make a successful transition into College Algebra . In this way, the book perfectly complements any learning platform, whether traditional lecture or distance-learning; its instruction is so reflective of what comes from lecture, that students will feel as comfortable outside of class, as they do inside class with their instructor . For even more support, students have access to a wealth of supplements, including McGraw-Hill’s online homework management system, MathZone .

New to this editioN

Feature : NEW! Problem Recognition Exercises Developmental �math students are sometimes conditioned into algorithmic thinking to the point where they want to automatically apply various algorithms to solve problems, whether it is meaningful or not . These exercises were built to decondition students from falling into that trap . Carefully crafted by the authors, the exercises focus on the situations where students most often get “mixed-up .” Working the Problem Recognition Exercises, students become conditioned to Stop, Think, and Recall what method is most appropriate to solve each problem in the set .

Feature : NEW! Skill Practice exercises follow immediately �after the examples in the text . Answers are provided so students can check their work . By utilizing these exercises, students can test their understanding of the various problem-solving techniques given in the examples .

Feature : NEW! The section-ending Practice Exercises are newly �revised, with even more core exercises appearing per exercise set . Many of the exercises are grouped by section objective, so students can refer back to content within the section if they need some assistance in completing homework . Review Problems appear at the beginning of most Practice Exercise Sets to help students improve

their study habits and to improve their long-term retention of concepts previously introduced .

Feature : NEW! Mixed Exercises are found in many of the �Practice Exercise sets . The Mixed Exercises contain no references to objectives . In this way, students are expected to work independently without prompting--which is representative of how they would work through a test or exam .

Feature : NEW! Study Skills Exercises appear at the beginning �of the Practice Exercises, where appropriate . They are designed to help students learn techniques to improve their study habits including exam preparation, note taking, and time management .

Feature : NEW! The Chapter Openers now include a variety �of puzzles that may be used to motivate lecture . Each puzzle is based on key vocabulary terms or concepts that are introduced in the chapter .

Feature : Classroom Activities are optional exercises that can �be worked out in class by individual students, or a group of students who work collaboratively . The Annotated Instructor’s Edition refers to the classroom activities, which are found in the Instructor’s Resource Manual . Instructors have the option of making the classroom activities available to students for use in class in conjunction with lecture, or for use as extra practice in conjunction with homework .

Feature : MathZone, accessible via the Internet or through CD- �ROM, will allow the instructors and students to get all of the necessary help they need to be successful in the course including state of the art lecture videos, eProfessor practice, many problems from the text algorithmically generated, a unified gradebook and a course built online quickly and easily . MathZone icons will appear throughout the text to tell the student when it’s appropriate to go to MathZone to either do the problems, watch the videos, or get extra help .

CoNteNtsChapter 1: Review of Basic Algebraic Concepts1 .1 Sets of Numbers and Interval Notation1 .2 Operations on Real Numbers1 .3 Simplifying Expressions1 .4 Linear Equations in One Variable1 .5 Applications of Linear Equations in One Variable1 .6 Literal Equations and Applications to Geometry1 .7 Linear Inequalities in One Variable1 .8 Properties of Integer Exponents and Scientific NotationChapter 1 SummaryChapter 1 Review ExercisesChapter 1 TestChapter 2: Linear Equations in Two Variables2 .1 Rectangular Coordinate System and Midpoint Formula2 .2 Linear Equations in Two Variables2 .3 Slope of a Line2 .4 Equations of a Line2 .5 Applications of Linear Equations and GraphingChapter 2 SummaryChapter 2 Review ExercisesChapter 2 TestChapter 3: Systems of Linear Equations3 .1 Solving Systems of Linear Equations by Graphing3 .2 Solving Systems of Equations by Using the Substitution Method3 .3 Solving Systems of Equations by Using the Addition Method3 .4 Applications of Systems of Linear Equations in Two Variables3 .5 Systems of Linear Equations in Three Variables and Applications3 .6 Solving Systems of Linear Equations by Using Matrices3 .7 Determinants and Cramer’s RuleChapter 3 SummaryChapter 3 Review ExercisesChapter 3 TestCumulative Review Exercises, Chapters 1 – 3


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Chapter 4: Introduction to Relations and Functions4 .1 Introduction to Relations4 .2 Introduction to Functions4 .3 Graphs of Functions4 .4 VariationChapter 4 SummaryChapter 4 Review ExercisesChapter 4 TestChapter 5: Polynomials5 .1 Addition and Subtraction of Polynomials and Polynomial Functions5 .2 Multiplication of Polynomials5 .3 Division of Polynomials / Mixed Review Exercises – Operations on Polynomials5 .4 Greatest Common Factor and Factoring by Grouping5 .5 Factoring Trinomials5 .6 Factoring Binomials5 .7 Additional Factoring Strategies5 .8 Solving Equations by Using the Zero Product RuleChapter 5 SummaryChapter 5 Review ExercisesChapter 5 TestChapter 6: Rational Expressions and Rational Equations6 .1 Rational Expressions and Rational Functions6 .2 Multiplication and Division of Rational Expressions6 .3 Addition and Subtraction of Rational Expressions6 .4 Complex Fractions / Mixed Review Exercises – Operations on Rational Expressions6 .5 Rational Equations6 .6 Applications of Rational Equations and ProportionsChapter 6 SummaryChapter 6 Review ExercisesChapter 6 TestCumulative Review Exercises, Chapters 1 – 6Chapter 7: Radicals and Complex Numbers7 .1 Definition of an nth Root7 .2 Rational Exponents7 .3 Simplifying Radical Expressions7 .4 Addition and Subtraction of Radicals7 .5 Multiplication of Radicals7 .6 Rationalization7 .7 Radical Equations7 .8 Complex NumbersChapter 7 SummaryChapter 7 Review ExercisesChapter 7 TestChapter 8: Quadratic Equations and Functions8 .1 Square Root Property and Completing the Square8 .2 Quadratic Formula8 .3 Equations in Quadratic Form8 .4 Graphs of Quadratic Functions8 .5 Vertex of a Parabola and ApplicationsChapter 8 SummaryChapter 8 Review ExercisesChapter 8 TestChapter 9: More Equations and Inequalities9 .1 Compound Inequalities9 .2 Polynomial and Rational Inequalities9 .3 Absolute Value Equations9 .4 Absolute Value Inequalities Mixed Review Exercises – Equations and Inequalities9 .5 Linear Inequalities in Two VariablesChapter 9 SummaryChapter 9 Review ExercisesChapter 9 TestCumulative Review Exercises, Chapters 1–9Chapter 10: Exponential and Logarithmic Functions10 .1 Algebra and Composition of Functions10 .2 Inverse Functions10 .3 Exponential Functions10 .4 Logarithmic Functions

10 .5 Properties of Logarithms10 .6 The Irrational Number e / Mixed Review Exercises – Logarithmic and Exponential Forms10 .7 Logarithmic and Exponential EquationsChapter 10 Summary / Chapter 10 Review ExercisesChapter 10 TestChapter 11: Conic Sections11 .1 Distance Formula and Circles11 .2 More on the Parabola11 .3 The Ellipse and Hyperbola11 .4 Nonlinear Systems of Equations in Two Variables11 .5 Nonlinear Inequalities and Systems of InequalitiesChapter 11 SummaryChapter 11 Review ExercisesChapter 11 TestCumulative Review Exercises, Chapters 1 – 11AppendixA .1 Binomial ExpansionsA .2 Sequences and SeriesA .3 Arithmetic and Geometric Sequences and Series

INTERMEDIATE ALGEBRA: THE LANGUAGE AND SYMBOLISM OF MATHEMATICS By James W. Hall, Parkland College, and Brian A. Mercer, Parkland College2007 (December 2005)ISBN-13: 978-0-07-330544-8 / MHID: 0-07-330544-8ISBN-13: 978-0-07-322968-3 / MHID: 0-07-322968-7 (with MathZone)

Browse http://www .mhhe .com/hallmercer

Intended for schools that want a single text covering the standard topics from Intermediate Algebra . Topics are organized not following the historical pattern, but by using as the guiding prinicples, the AMATYC standards as outlined in Crossroads in Mathematics . Use of a graphing calculator is assumed . BEGINNING AND INTERMEDIATE ALGEBRA: THE LANGUAGE AND SYMBOLISM OF MATHEMATICS is a reform-oriented book .

CoNteNts1 Review of Beginning Algebra. Preparing for an Algebra Class.The Real Number Line and Algebraic Expressions . Operations with Real Numbers . Exponents and Order of Operations . Properties of Exponents and Scientific Notation . Solving Linear Equations in One Variable . Ratios, Proportions, and Direct Variation . Using and Rearranging Formulas .2 An Introduction To Functions And Linear Modeling.The Rectangular Coordinate System, Tables, and Graphs . Functions and Representations of Functions . Linear Functions . Slope of a Line and Applications of Slope . Special Forms of Linear Equations In Two Variables . Properties of the Graphs of Linear and Absolute Value Functions . Curve Fitting--Selecting the Line of Best Fit .3 Linear Equations and Systems of Linear Equations.Problem Solving and Applications of Linear Equations . Solving Systems of Linear Equations In Two Variables Graphically and Numerically . Solving Systems of Linear Systems In Two Variables by the Substitution Method . Solving Systems of Linear Systems In Two Variables by the Addition Method . More Applications of Linear Systems . Solving Systems of Linear Equations Using Augmented Matrices . Systems of Linear equations in Three Variables .4 Linear Inequalities and Systems of Linear Inequalities.Solving Linear Inequalities in One Variable . Solving Compound Inequalities . Solving Absolute Value Equations and Inequalities . Graphing Systems of Linear Inequalities in Two Variables .

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5 Polynomials and Polynomial Functions.Polynomials and Properties of the graphs of Polynomial Functions . Adding and Subtracting Polynomials . Multiplying Polynomials and Special Products . An Introduction to Factoring Factoring Trinomials of the Form . A General Strategy for Factoring Polynomials . Using Factoring solve equations and Inequalities .6 Quadratic Functions.Quadratic Functions, Parabolas, and Modeling Using Quadratic Equations . Solving Equations by Factoring . Using the Quadratic Formula to Find Real Solutions . More Applications of Quadratic Equations . Complex Numbers . Solving Quadratic Equations with Imaginary Solutions .7 Rational Functions.Properties of the Graphs of Rational Functions and Reducing Rational Expressions . Multiplying, Dividing, and Reducing Rational Expressions . Adding and Subtracting Rational Expressions . Combining Operations and Simplifying Complex Rational Expressions Dividing Polynomials . Solving Equations Containing Rational Expressions . Inverse and Joint Variation and Other Applications Yielding equations with Fractions .8 Square Root and Cube Root Functions and Rational Exponents.Properties of the Graphs of Radical Functions . Evaluating Radical Expressions . Adding and Subtracting Radical Expressions . Multiplying and Dividing Radical Expressions . Solving Equations Containing Radical Expressions . Rational Exponents and Radicals .9 Exponential and Logarithmic Functions.Geometric Sequences and Properties of the Graphs of Exponential Functions . Inverse Functions . Logarithmic Functions . Evaluating Logarithms . Properties of Logarithms . Exponential and Logarithmic Equations . Exponential Curve Fitting and Other Applications of Exponential and Logarithmic Equations .10 A Preview of College Algebra.Horizontal and Vertical Translations of Functions . Stretching, Shrinking, and Reflecting Graphs of Functions . Algebra of Functions . Sequences, Series, and Summation Notation . Conic Sections .

INTERMEDIATE ALGEBRASecond EditionBy Ignacio Bello, University of South Florida -Tampa and Fran Hopf, University of South Florida -Tampa2006 / Softcover ISBN-13: 978-0-07-330918-7 / MHID: 0-07-330918-4 (MP)ISBN-13: 978-0-07-299100-0 / MHID: 0-07-299100-3 (with MathZone)

http://www.mhhe.com/belloIntermediate Algebra prepares students for further courses in the college math curriculum . Students of all backgrounds will be delighted to find a refreshing book that appeals to every learning style and reaches out to diverse demographics . Through down-to-earth explanations, patient skill-building, and exceptionally interesting and realistic applications, this worktext will empower students to learn and master algebra in the real world .

CoNteNts1. The Real Numbers1 .1 Numbers and Their Properties .1 .2 Operations and Properties of Real Numbers .1 .3 Properties of Exponents .1 .4 Algebraic Expressions and the Order Of Operations .2. Linear Equations and Inequalities2 .1 Linear Equations in One Variable .2 .2 Formulas, Geometry, and Problem Solving .2 .3 Problem Solving: Integers and Geometry .2 .4 Problem Solving: Percent, Investment, Motion, and Mixture

Problems .2 .5 Linear and Compound Inequalities .2 .6 Absolute-Value Equations and Inequalities .3. Graphs and Functions3 .1 Graphs .3 .2 Introduction to Functions: Linear Functions .3 .3 Using Slopes to Graph Lines .3 .4 Equations of Lines .3 .5 Linear Inequalities in Two Variables .4. Solving Systems of Linear Equations and Inequalities4 .1 Systems with Two Variables .4 .2 Systems with Three Variables .4 .3 Coin, Distance-Rate-Time, Investment, and Geometry Problems .4 .4 Matrices .4 .5 Determinants and Cramer’s Rule .4 .6 Systems of Linear Inequalities .5. Polynomials5 .1 Polynomials: Addition and Subtraction .5 .2 Multiplication of Polynomials .5 .3 The Greatest Common Factor and Factoring by Grouping .5 .4 Factoring Trinomials .5 .5 Special Factoring .5 .6 General Methods of Factoring .5 .7 Solving Equations by Factoring: Applications .6. Rational Expressions6 .1 Rational Expressions .6 .2 Multiplication and Division of Rational Expressions .6 .3 Addition and Subtraction of Rational Expressions .6 .4 Complex Fractions .6 .5 Division of Polynomials and Synthetic Division .6 .6 Equations Involving Rational Expressions .6 .7 Applications: Problem Solving .6 .8 Variation .7. Rational Exponents and Radicals7 .1 Rational Exponents and Radicals .7 .2 Simplifying Radicals .7 .3 Operations with Radicals .7 .4 Solving Equations Containing Radicals .7 .5 Complex Numbers .8. Quadratic Equations and Inequalities8 .1 Solving Quadratics by Completing the Square .8 .2 The Quadratic Formula: Applications .8 .3 The Discriminant and Its Applications .8 .4 Solving Equations in Quadratic Form .8 .5 Nonlinear Inequalities .9. Quadratic Functions and the Conic Sections9 .1 Quadratic Functions and their Graphs .9 .2 Circles and Ellipses .9 .3 Hyperbolas and Identification of Conics .9 .4 Nonlinear Systems of Equations .9 .5 Nonlinear Systems of Inequalities .10. Inverse, Exponential, and Logarithmic Functions.10 .1 The Algebra of Functions .10 .2 Inverse Functions .10 .3 Exponential Functions .10 .4 Logarithmic Functions and Their Properties .10 .5 Common and Natural Logarithms .10 .6 Exponential and Logarithmic Equations and Applications .11. Sequences and Series.11 .1 Sequences and Series .11 .2 Arithmetic Sequences and Series .11 .3 Geometric Sequences and Series .11 .4 The Binomial Expansion


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SCHAUM’S EASY OUTLINE INTERMEDIATE ALGEBRABy Ray Steege and Kerry Bailey, Laramie County Community College, Wyoming2004 / Softcover / 144 pages ISBN-13: 978-0-07-142243-7 / MHID: 0-07-142243-9A Schaum’s PublicationWhat could be better than the bestselling Schaum’s Outline series? For students looking for a quick nuts-and-bolts overview, it would have to be Schaum’s Easy Outline series . Every book in this series is a pared-down, simplified, and tightly focused version of its predecessor. With an emphasis on clarity and brevity, each new title features a streamlined and updated format and the absolute essence of the subject, presented in a concise and readily understandable form .

Graphic elements such as sidebars, reader-alert icons, and boxed highlights stress selected points from the text, illuminate keys to learning, and give students quick pointers to the essentials .

• Designed to appeal to underprepared students and readers turned off by dense text

• Cartoons, sidebars, icons, and other graphic pointers get the material across fast

• Concise text focuses on the essence of the subject

• Deliver expert help from teachers who are authorities in their fields

• Perfect for last-minute test preparation

• So small and light that they fit in a backpack!

SCHAUM’S OUTLINE OF INTERMEDIATE ALGEBRABy Ray Steege and Kerry Bailey, Laramie County Community College, Wyoming1997 / 381 pages ISBN-13: 978-0-07-060839-9 / MHID: 0-07-060839-3A Schaum’s Publication

http://books.mcgraw-hill.com/cgi-bin/getbook.pl?isbn=0070608393&ad key=W02003CoNteNtsProperties of Real Numbers .Polynomials .Rational Expressions .First-Degree Equations and Inequalities .Exponents, Roots, and Radicals .Second-Degree Equations and Inequalities .Systems of Equations and Inequalities .Relations and Functions Exponential and Logarithmic Functions .Sequences, Series, and the Binomial Theorem .

Algrebra for College Students

New

ALGEBRA FOR COLLEGE STUDENTSFifth Edition

By Mark Dugopolski

2009 (January 2008) / 250 pagesISBN-13: 978-0-07-353352-0 / MHID: 0-07-353352-1ISBN-13: 978-0-07-722484-4 / MHID: 0-07-722484-1 (Mandatory Package)

http://www.mhhe.com/dugopolskiAlgebra for College Students, 5e is part of the latest offerings in the successful Dugopolski series in mathematics . The author’s goal is to explain mathematical concepts to students in a language they can understand. In this book, students and faculty will find short, precise explanations of terms and concepts written in understandable language . The author uses concrete analogies to relate math to everyday experiences . For example, when the author introduces the Commutative Property of Addition, he uses a concrete analogy that “the price of a hamburger plus a Coke is the same as a Coke plus a hamburger” . Given the importance of examples within a math book, the author has paid close attention to the most important details for solving the given topic . Dugopolski includes a double cross-referencing system between the examples and exercise sets, so no matter which one the students start with, they will see the connection to the other. Finally, the author finds it important to not only provide quality, but also a good quantity of exercises and applications . The Dugopolski series is known for providing students and faculty with the most quantity and quality of exercises as compared to any other developmental math series on the market . In completing this revision, Dugopolski feels he has developed the clearest and most concise developmental math series on the market, and he has done so without comprising the essential information every student needs to become successful in future mathematics courses . The book is accompanied by numerous useful supplements, including McGraw-Hill’s online homework management system, MathZone .

New to this editioN




McGraw-Hill’s MathZone is a complete, online tutorial and course �management system for mathematics and statistics, designed for greater ease of use than any other system available . Instructors can create and share courses and assignments with colleagues and adjuncts in a matter of a few clicks of a mouse . All instructor teaching resources are accessed online, as well as student assignments, questions, e-Professors, online tutoring and video lectures which are directly tied to text specific material . MathZone courses are customized

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to your textbook, but you can edit questions and algorithms, import your own content, create announcements and due dates for assignments . MathZone has automatic grading and reporting of easy-to-assign algorithmically generated homework, quizzing and testing . Student activity within MathZone is automatically recorded and available to you through a fully integrated grade book than can be downloaded to Excel . Go to www .mathzone .com to learn more .

CoNteNtsTO THE STUDENTPREFACE1 The Real Numbers1 .1 Sets1 .2 The Real Numbers1 .3 Operations on the Set of Real Numbers1 .4 Evaluating Expressions1 .5 Properties of the Real Numbers1 .6 Using the PropertiesChapter 1 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 1 Test• Critical Thinking2 Linear Equations and Inequalities in One Variable2 .1 Linear Equations in One Variable2 .2 Formulas and Functions2 .3 Applications2 .4 Inequalities2 .5 Compound Inequalities2 .6 Absolute Value Equations and InequalitiesChapter 2 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 2 Test• Making Connections: A review of Chapters 1-2• Critical Thinking3 Linear Equations and Inequalities in Two Variables3 .1 Graphing Lines in the Coordinate Plane3 .2 Slope of a Line3 .3 Three Forms for the Equation of a Line3 .4 Linear Inequalities and Their Graphs3 .5 Functions and RelationsChapter 3 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 3 Test• Making Connections: a review of Chapters 1-3• Critical Thinking4 Systems of Linear Equations4 .1 Solving Systems by Graphing and Substitution4 .2 The Addition Method4 .3 Systems of Linear Equations in Three Variables4 .4 Solving Linear Systems Using Matrices4 .5 Determinants and Cramer’s Rule4 .6 Linear ProgrammingChapter 4 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 4 Test• Making Connections: a review of Chapters 1-4• Critical Thinking5 Exponents and Polynomials5 .1 Integral Exponents and Scientific Notation5 .2 The Power Rules5 .3 Polynomials and Polynomial Functions5 .4 Multiplying Binomials5 .5 Factoring Polynomials

5 .6 Factoring ax² + bx + c5 .7 Factoring Strategy5 .8 Solving Equations by FactoringChapter 5 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 5 Test• Making Connections: a review of Chapters 1-5• Critical Thinking6 Rational Expressions and Functions6 .1 Properties of Rational Expressions and Functions6 .2 Multiplication and Division6 .3 Addition and Subtraction6 .4 Complex Fractions6 .5 Division of Polynomials6 .6 Solving Equations Involving Rational Expressions6 .7 ApplicationsChapter 6 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 6 Test• Making Connections: a review of Chapters 1-6• Critical Thinking7 Radicals and Rational Exponents7 .1 Radicals7 .2 Rational Exponents7 .3 Adding, Subtracting, and Multiplying Radicals7 .4 Quotients, Powers, and Rationalizing Denominators7 .5 Solving Equations with Radicals and Exponents7 .6 Complex NumbersChapter 7 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 7 Test• Making Connections: a review of Chapters 1-7• Critical Thinking8 Quadratic Equations, Functions, and Inequalities8 .1 Factoring and Completing the Square8 .2 The Quadratic Formula8 .3 More on Quadratic Equations8 .4 Quadratic Functions and Their Graphs8 .5 Quadratic and Rational InequalitiesChapter 8 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 8 Test• Making Connections: a review of Chapters 1-8• Critical Thinking9 Additional Function Topics9 .1 Graphs of Functions and Relations9 .2 Transformations of Graphs9 .3 Combining Functions9 .4 Inverse Functions9 .5 VariationChapter 9 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 9 Test• Making Connections: a review of Chapters 1-9• Critical Thinking10 Polynomial and Rational Functions10 .1 The Factor Theorem10 .2 Zeros of a Polynomial Function10 .3 The Theory of Equations10 .4 Graphs of Polynomial Functions10 .5 Graphs of Rational Functions


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Chapter 10 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 10 Test• Making Connections: a review of Chapters 1-10• Critical Thinking11 Exponential and Logarithmic Functions11 .1 Exponential Functions and Their Applications11 .2 Logarithmic Functions and Their Applications11 .3 Properties of Logarithms11 .4 Solving Equations and ApplicationsChapter 11 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 11 Test• Making Connections: a review of Chapters 1-11• Critical Thinking12 Nonlinear Systems and the Conic Sections12 .1 Nonlinear Systems of Equations12 .2 The Parabola12 .3 The Circle12 .4 The Ellipse and Hyperbola12 .5 Second-Degree InequalitiesChapter 12 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 12 Test• Making Connections: a review of Chapters 1-12• Critical Thinking13 Sequences and Series13 .1 Sequences13 .2 Series13 .3 Arithmetic Sequences and Series13 .4 Geometric Sequences and Series13 .5 Binomial ExpansionsChapter 13 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 13 Test• Making Connections: a review of Chapters 1-13• Critical Thinking14 Counting and Probability14 .1 Counting and Permutations14 .2 Combinations14 .3 ProbabilityChapter 14 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 14 Test• Critical ThinkingAppendix AAnswers to Selected ExercisesIndex

ALGEBRA FOR COLLEGE STUDENTSBy Julie Miller, Daytona Beach Community College—Daytona Beach and Molly O’Neill, Daytona Beach Community College—Daytona Beach2004 / HardcoverISBN-13: 978-0-07-301612-2 / MHID: 0-07-301612-8 (with MathZone)

http://www.mhhe.com/miller_oneillCoNteNts1 Review of Basic Algebraic Concepts .2 Linear Equations in Two Variables .3 Systems of Linear Equations and Matrices .4 Introduction to Relations and Functions .5 Polynomials .6 Radicals and Complex Numbers .7 Factoring and Quadratic Functions .8 Rational Expressions .9 More Equations and Inequalities .10 Exponential and Logarithmic Functions .11 Conic Sections and Nonlinear Systems .12 Polynomial and Rational Functions .13 Sequences, Series, Counting, and Proba

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Business Mathematics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .41Discrete Mathematics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .45Finite Mathematics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .44Geometry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .39Liberal Arts Mathematics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .41Mathematics For Elementary Teachers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .43Technical Mathematics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .46

NEW TITLES

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MATHEMATICS SERVICE COURSES2007 Author ISBN-13 MHID PageMathematics For Technicians, 6e Alldis 9780070131651 0070131651 46

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MATHEMATICS SERVICE COURSES

Geometry

Internaltional Edition

GEOMETRY WITH GEOMETRY EXPLORERBy Michael Hvidsten, Gustavus Adolphus College2005 / 352 pages ISBN-13: 978-0-07-312990 7 / MHID: 0-07-312990-9 (with CD)ISBN-13: 978-0-07-124865-5 / MHID: 0-07-124865-X [IE wth CD]

CoNteNts1. Geometry and the Axiomatic Method:Early Origins of Geometry . Thales and Pythagoras . Thales . Pythagoras . Project 1 - The Ratio Made of Gold . Golden Section . Golden Rectangles . Project Report . The Rise of the Axiomatic Method . Properties of Axiomatic Systems . Consistency . Independence . Completeness . Gödel’s Incompleteness Theorem . Euclid’s Axiomatic Geometry . Euclid’s Postulates . Project 2 - A Concrete Axiomatic System . Project Report2. Euclidean Geometry:Angles, Lines, and Parallels . Congruent Triangles and Pasch’s Axiom . Project 3 -Special Points of a Triangle . Circumcenter . Orthocenter . Incenter . Project Report . Measurement in Euclidean Geometry . Mini-Project: Area in Euclidean Geometry . Cevians and Areas . Similar Triangles . Mini-Project: Finding Heights . Circle Geometry . Project 4 -Circle Inversion and Orthogonality . Project Report . Orthogonal Circles, Redux .3. Analytic Geometry:The Cartesian Coordinate System . Vector Geometry . Angles in Coordinate Geometry . The Complex Plane . Polar Form . Complex Functions . Analytic Functions and Conformal Maps . Birkhoff’s Axiomatic System for Analytic Geometry .4. Transformational Geometry:Euclidean Isometrics . Reflections . Mini-Project: Isometries Through Reflection . Reflection and Symmetry . Translations . Translational Symmetry . Rotations . Rotational Symmetry . Project 5 - Quilts and Transformations . Glide Reflections . Glide Reflection Symmetry . Structure and Representation of Isometries . Matrix Form of Isometries . Compositions of Rotations and Translations . Compositions of Reflections and Glide Reflections . Isometries in Computer Graphics . Summary of Isometry Compositions . Project 6 -Constructing Compositions .5. Symmetry:Finite Plane Symmetry Groups . Frieze Groups . Wallpaper Groups . Tiling the Plane . Escher . Regular Tessellations of the Plane . Project 7 - Constructing Tessellations .6. Non-Euclidean Geometry:Background and History . Models of Hyperbolic Geometry . Poincaré Model . Mini-Project: The Klein Model . Basic Results in Hyperbolic Geometry . Parallels in Hyperbolic Geometry . Omega Points and Triangles . Project 8 - The Saccheri Quadrilateral . Lambert Quadrilaterals and Triangles . Lambert Quadrilaterals . Triangles in Hyperbolic Geometry . Area in Hyperbolic Geometry . Project 9 -Tiling the Hyperbolic Plane . Models and Isomorphism .7. Non-Euclidean Transformations:Möbius Transformations . Fixed Points and the Cross Ratio . Geometric Properties of Möbius Transformations . Isometries in the Poincaré Model . Isometries in the Klein Model . Mini-Project: The Upper Half-Plane Model . Weierstrass Model .8. Non-Euclidean Calculation:Projection and the Angle of Parallelism . Horocycles . Project 10 -Parameterizing Horocycle Arcs . Concentric Horocycles . Hyperbolic Trigonometry . Hyperbolic Right Triangle Trigonometry . General Hyperbolic Trigonometry . Simplified Hyperbolic Trig Formulas . Mini-Project: Calculations in Lambert Quadrilaterals . Arclength in Cartesian Coordinates . Arclength in Polar Coordinates . Beltrami

Coordinates and Categoricalness . Area . Calculation in the Poincaré Model . Arclength of Parameterized Curves . Geodesics . The Angle of Parallelism . Right Triangles . Area . Project 11 - Infinite Real Estate?9. Fractal Geometry:The Search for a “Natural” Geometry . Self-Similarity . Sierpinski’s Triangle . Cantor Set . Similarity Dimension . Project 12 - An Endlessly Beautiful Snowflake . Contraction Mappings and The Space of Fractals . Fractal Dimension . Project 13 - IFS Ferns . Algorithmic Geometry . Turtle Geometry . Grammars and Productions . Space-filling Curves . Project 14 - Words Into Plants: The Geometry of Life . Constructions . Euclidean Constructions . Project 15 - Euclidean Eggs . Hilbert’s Geometry . Incidence Geometry . Betweenness Geometry . Project 16 - Angles and Ray Betweenness . Betweenness and Triangles . Congruence Geometry . Triangle and Angle Congruence Results . Segment Ordering . Project 17 - Angle Order . Continuity Geometry . Segment Measure . Angle Measure . Basic Results of Absolute Geometry . Continuity and Intersections . Parallelism .A. Book I of Euclid’s Elements.A .1 Definitions .A .2 The Postulates (Axioms) .A .3 Common Notions .A .4 Propositions (Theorems) .B. Brief Guide to Geometry Explorer.B .1 The Main Geometry Explorer Window .B .2 Selecting Objects .B .3 Active vs . Inactive Tools .B .4 Labels .B .5 Object Coloring .B .6 On-Line Help .B .7 Undo/Redo of Actions .B .8 Clearing, Resizing the Canvas .B .9 Saving Files as Images .B .10 Main Window Button Panels .B .10 .1 Create Panel .B .10 .2 Construct Panel .B .10 .3 Transform Panel .B .11 Measurement in Geometry Explorer .B .11 .1 Neutral Measurements .B .11 .2 Euclidean-only Measurements .B .11 .3 Hyperbolic-only Measurements .B .11 .4 User Input Measurements .B .12 Using Tables .B .13 Using the Calculator .B .14 Hyperbolic Geometry .B .15 Analytic Geometry .B .16 Turtle Geometry .C. Birkhoff’s Axioms for Euclidean Geometry.D. The 17 Wallpaper Groups

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SCHAUM’S OUTLINE OF GEOMETRYFourth EditionBy Barnett Rich (deceased) and Christopher Thomas2009 (July 2008) / 369 pagesISBN-13: 978-0-07-154412-2 / MHID: 0-07-154412-7A Schaum’s PublicationA classic Schaum’s bestseller, thoroughly updated to match the latest course scope and sequence . The ideal review for the hundreds of thousands of college and high school students who enroll in geometry courses

CoNteNts1 . Fundamentals of Algebra: Laws and Operations 2 . Fundamentals of Algebra: Equations and Formulas 3 . Lines, Angles, and Triangles 4 . Methods of Proof 5 . Congruent Triangles 6 . Parallel Lines, Distances, and Angle Sums 7 . Parallelograms, Trapezoids, Medians, and Midpoints 8 . Circles 9 . Similarity 10 . Areas 11 . Regular Polygons and the Circle 12 . Locus 13 . Inequalities and Indirect Reasoning 14 . Improvement of Reasoning 15 . Constructions 16 . Proofs of Important Theorems 17 . Transformational Geometry

BOB MILLER’S GEOMETRY FOR THE CLUELESSSecond EditionBy Bob Miller, City College of the City University of New York2006 (September 2005) / 160 pagesISBN-13: 978-0-07-145902-0 / MHID: 0-07-145902-2A Professional PublicationBob Miller’s Geometry for the Clueless tackles a subject more than three million students face every year . Miller acts as a private tutor, painstakingly covering the high school curriculum as well as post secondary courses in geometry .

SCHAUM’S EASY OUTLINES: GEOMETRYBy Barnett Rich (deceased) and Philip A Schmidt, Associate Dean at Berea College2001 / 144 pages ISBN-13: 978-0-07-136973-2 / MHID: 0-07-136973-2A Schaum’s PublicationCoNteNtsChapter 1: Lines, Angles, and Triangles .Chapter 2: Deductive Reasoning .Chapter 3: Congruent Triangles .Chapter 4: Parallel Lines, Distances, and Angle Sums .Chapter 5: Trapezoids and Parallelograms .Chapter 6: Circles .Chapter 7: Similarity .Chapter 8: Areas .

Chapter 9: Regular Polygons and the Circle .Chapter 10: Constructions .

International Edition

SCHAUM’S OUTLINE OF GEOMETRYThird EditionBy Barnett Rich (deceased) and Philip A Schmidt, Associate Dean at Berea College2000 / 322 pages ISBN-13: 978-0-07-052766-9 / MHID: 0-07-052766-0 ISBN-13: 978-0-07-118345-1 / MHID: 0-07-118345-0 [IE]A Schaum’s Publication(International Edition is not for sale in Japan .)

CoNteNtsFundamentals of Algebra: Laws and Operations .Fundamentals of Algebra: Equations and Formulas .Lines, Angles, and Triangles .Methods of Proof .Congruent Triangles .Methods of Proof .Congruent Triangles .Parallel Lines, Distances, and Angle Sums .Parallelograms, Trapezoids, Medians, and Midpoints .Circles .Similarity .Areas .Regular Polygons and the Circle .Locus .Inequalities and Indirect Reasoning .Improvement of Reasoning .Constructions .Proofs of Important Theorems .Transforma-tional Geometry .






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Liberal Arts MathematicsMATHEMATICS IN OUR WORLDBy Allan G Bluman, Community College of Allegheny County-South2005 / 840 pages /Hardcover ISBN-13: 978-0-07-331182-1 / MHID: 0-07-331182-0 (with MathZone)

CoNteNtsOne Problem Solving:The Nature of Mathematical Reasoning . Problem Solving . Estimation .Two Sets:The Nature of Sets . Subsets and Set Operations . Venn Diagrams . Using Sets to Solve Problems . Infinite Sets .Three Logic:Statements . Truth Tables . Types of Statements . Arguments . Euler Circles .Four Numeration Systems:Early and Modern Numeration Systems . Base Number Systems . Operations in Base Numbers .Five The Real Number System:The Natural Numbers . The Integers . The Rational Numbers . The Irrational Numbers . The Real Numbers . Exponents and Scientific Notation . Arithmetic and Geometric Sequences .Six Other Mathematical Systems:Clock Arithmetic . Modular Systems . Mathematical Systems without Numbers .Seven Topics in Algebra:Fundamental Concepts of Algebra . Solving Linear Equations . Applications of Linear Equations . Solving Linear Inequalities . Ratio, Proportion, and Variation . Solving Quadratic Equations .Eight Additional Topics in Algebra:The Rectangular Coordinate System and the Line . Systems of Linear Equations . Systems of Linear Inequalities . Linear Programming . Functions .Nine Consumer Mathematics:Percent . Interest . Installment Buying . Home Ownership . Markup and Markdown .Ten Geometry:Points, Lines, Planes, and Angles . Triangles, Polygons and Perimeter . Areas of Polygons and the Circle . Surface Area and Volume . Right Triangle Trigonometry . Networks .Eleven Probability and Counting Techniques:Basic Concepts of Probability . Tree Diagrams, Tables, and Sample Spaces . Odds and Expectation . The Addition Rules for Probability . The Multiplication Rules and Conditional Probability . The Fundamental Counting Rule and Permutations . Combinations . Probability Using Permutations and Combinations .Twelve Statistics:The Nature of Statistics and Organizing Data . Picturing Data . Measures of Average . Measures of Variation . Measures of Position . The Normal Distribution . Applications of the Normal Distribution . Correlation and Regression Analysis .Thirteen Voting Methods:Preference Tables and the Plurality Method . The Borda Count Method and the Plurality-with-Elimination Method . The Pairwise Comparison Method and Approval Voting . Appendix A Measurement . Appendix B Trigonometric Ratios . Appendix C Area Under the Standard Normal Distribution . Appendix D Significan Values for the Correlation Coefficient . Appendix E Using the Ti83+ Graphing Calculator

Business MathematicsSOLVING BUSINESS PROBLEMS USING A CALCULATORSixth EditionBy Mildred Polisky 2003 / 288 pages ISBN-13: 978-0-07-830020-2 / MHID: 0-07-830020-7

CoNteNtsSection 1 10-Key Touch Method:Lesson 1 Touch Addition of Whole Numbers .Lesson 2 Touch Addition and Subtraction of Whole Numbers .Lesson 3 Crossfooting .Lesson 4 Touch Addition and Subtraction of Dollars and Cents .Lesson 5 Rounding and Estimating Without a Calculator .Lesson 6 Multiplication .Lesson 7 Division .Business Calculator Applications 1: Keypad Introduction .Practice Test 1 .Section 2 Multiplication and Division:Lesson 8 Constant Multiplication and Division .Lesson 9 Multiplying Three or More Factors .Lesson 10 Mixed Operations .Lesson 11 Accumulative Multiplication .Lesson 12 Negative Multiplication .Business Calculator Applications 2: Using Memory Keys for Repeated Operations .Practice Test 2 .Section 3 Percents and Discounts:Lesson 13 Fractions and Decimals .Lesson 14 Percents .Lesson 15 Finding Percentage, Rate, and Base .Lesson 16 Amounts and Percents of Increase or Decrease .Lesson 17 Single Discounts .Lesson 18 Series Discounts .Lesson 19 Extending Invoices and Quantity Pricing .Lesson 20 Auditing Invoices .Business Calculator Applications 3: Percent of Change, The Percentage Formula, and Discounts .Practice Test 3 .Section 4 Retail Calculations and Payroll:Lesson 22 Markdown .Lesson 23 Monthly and Semimonthly Payrolls .Lesson 24 Payrolls for Hourly Workers .Lesson 25 Commission Payroll Plans .Business Calculator Applications 4: Retail Calculations .Practice Test 4 .Section 5 Stocks and Bonds:Lesson 27 Investments in Bonds .Lesson 28 Yields on Investments .Lesson 29 Selling Price of Stocks .Business Calculator Applications 5: Prices of Treasury Bonds and Notes .Practice Test 5 .Section 6 Interest and the Metric System:Lesson 30 Interest and Mortgage Interest .Lesson 31 True Annual Interest Rate .Lesson 32 Installment Buying .Lesson 33 Prorating .Lesson 34 Measurement .Business Calculator Applications 6: Interest and Proration .Practice Test 6 . Progress Tests .Answer Tabs


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APPLIED MATHEMATICS FOR BUSINESS, ECONOMICS AND THE SOCIAL SCIENCEFourth EditionBy Frank S. Budnick, University of Rhode Island1993 / 1,056 pages ISBN-13: 978-0-07-008902-0 / MHID: 0-07-008902-7 (Out-of-Print)ISBN-13: 978-0-07-112580-2 / MHID: 0-07-112580-9 [IE]

CoNteNts1 Some Preliminaries2 Linear Equations3 Systems of Linear Equations4 Functions and Graphs5 Linear Functionsand Applications6 Quadratic and Polynomial Functions7 Exponential and Logarithmic Functions8 Mathematics of Finance9 Matrix Algebra10 Linear ProgrammingAn Introduction11 The Simplex Method12 Trans-portation and Assignment Models13 Introduction to Probability Theory14 Probability Distributions15 Differentiation16 Optimization Methodology and Applications17 Integral Calculus An Introduction18 Integral CalculusApplications19 Optimization Functions of Several VariablesAppendix A Review of Algebra

MCGRAW-HILL’S CONQUERING GRE/GMAT MATHBy Robert Moyer2007 (December 2006) 352 pagesISBN-13: 978-0-07-147243-2 / MHID: 0-07-147243-6A Professional PublicationPractice problems, study guidance, and expert advice to boost your math confidence and scores on the GRE and GMAT.

A complete math-building program for both the GMAT and the GRE, this is an ideal refresher course to sharpen your math skills and improve your scores . It includes intensive reviews of every type of math problem, in-depth practice questions, and step-by-step strategies .

CoNteNtsPREFACE ACKNOWLEDGMENTSection I: Introduction Chapter 1: The GRE and GMAT Mathematics Sections Chapter 2: The Mathematics You Need to Review Chapter 3: How the Questions Are AskedSection II: Basic Mathematics Review Chapter 4: Number Properties Chapter 5: Arithmetic Computation Chapter 6: Algebra Chapter 7: GeometrySection III: Item Formats Chapter 8: GRE and GMAT Quantitative Ability Questions Chapter 9: GRE Quantitative Comparisons Chapter 10: GMAT Data Sufficiency Questions

Chapter 11: GRE and GMAT Data Interpretation QuestionsSection IV: Math Practice Tests GRE Math Practice Test 1 GRE Math Practice Test 2 GMAT Math Practice Test 1 GMAT Math Practice Test 2

BUSINESS MATH DEMYSTIFIEDBy Allan Bluman, Community College of Allegheny County-South2006 (March 2006) / 390 pages)ISBN-13: 978-0-07-146470-3 / MHID: 0-07-146470-0A Professional PublicationThis work teaches business-management students all the basic mathematics used in a retail business and follows the standard curriculum of Business Math courses .

CoNteNtsPREFACEChapter 1: Fractions--ReviewChapter 2: Decimals--ReviewChapter 3: Percent--ReviewChapter 4: Formulas--ReviewChapter 5: Checking AccountsChapter 6: Payroll and CommissionChapter 7: MarkupChapter 8: DiscountsChapter 9: Simple Interest and Promissory NotesChapter 10: Compound InterestChapter 11: Annuities and Sinking FundsChapter 12: Consumer CreditChapter 13: MortgagesChapter 14: InsuranceChapter 15: TaxesChapter 16: Stocks and BondsChapter 17: DepreciationChapter 18: InventoryChapter 19: Financial StatementsChapter 20: StatisticsChapter 21: Charts and GraphsFINAL EXAM / ANSWERS TO QUIZZES AND FINAL EXAM / INDEX






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SCHAUM’S OUTLINE OF INTRODUCTION TO MATHEMATICAL ECONOMICSThird EditionBy Edward T Dowling, Fordham University2001 / 523 pages ISBN-13: 978-0-07-135896-5 / MHID: 0-07-135896-XISBN-13: 978-0-07-135896-5 / MHID: 0-07-135896-1 [IE]A Schaum’s PublicationCoNteNtsReview .Economic Applications of Graphs and Equations .The Derivative and the Rules of Differentiation .Uses of the Derivative in Mathematics and Economics .Calculus of Multivariable Functions .Caculus of Multivariable Functions in Economics .Exponential and Logarithmic Functions in Economics .Differentiation of Exponential and Logarithmic Functions .The Fundamentals of Linear (or Matrix) Algebra .Matrix Inversion .Special Determinants and Matrices and Their Use in Economics .Comparative Statics and Concave Programming .IUntegral Calculus: The Indefinite Integral .Integral Calculus: The Definite Integral .First-Order Differential Equations .First Order Difference Equations .Second-Order Differential Equations and Difference Equations .Simultaneous Differential and Difference Equations .The Calculus of Variations .Optimal Control Theory .

SCHAUM’S OUTLINE OF MATHEMATICAL METHODS FOR BUSINESS AND ECONOMICSBy Edward T. Dowling, Fordham University1993 / 320 pagesISBN-13: 978-0-07-017697-3 / MHID: 0-07-017697-3A Schaum’s PublicationCoNteNtsReview .Equations and Graphs .Functions .Systems of Equations .Linear (or Matrix) Algebra .Solving Linear Equations with Matrix Algebra .Linear Programming: Using Graphs .Linear Programming: The Simplex Algorithm and the Dual .Different ial Calculus: The Derivat ive and the Rules of Differentiation .Differential Calculus: Uses of the Derivative .Exponential and Logarithmic Functions .Integral Calculus .Calculus of Multivariable Functions .Index .

Mathematics for Elementary Teachers

MATHEMATICS FOR ELEMENTARY TEACHERSA Conceptual Approach, Seventh EditionBy Albert B. Bennett, University Of New Hampshire, and Ted Nelson, Portland State University2007 (June 2006) / 896 pages / HardcoverISBN-13: 978-0-07-302284-0 / MHID: 0-07-302284-5 ISBN-13: 978-0-07-322462-6 / MHID: 0-07-322462-6 (Mandatory Package)

Albert B . Bennett, Jr . and L . Ted Nelson have presented hundreds of workshops on how to give future teachers the conceptual understanding and procedural fluency they will need in order to successfully teach elementary-school mathematics . The Seventh Edition of Mathematics for Elementary Teachers: A Conceptual Approach continues their innovative, time-tested approach: an emphasis on learning via specific, realistic examples and the extensive use of visual aids, hands-on activities, problem-solving strategies and active classroom participation . Special features in the text ensure that prospective teachers will gain not only a deeper understanding of the mathematical concepts, but also a better sense of the connections between their college math courses and their future teaching experiences, along with helpful ideas for presenting math to their students in a way that will generate interest and enthusiasm . The text draws heavily on NCTM Standards and contains many pedagogical elements designed to foster reasoning, problem-solving and communication skills . The Seventh Edition will also incorporate in-text references to the virtual manipulative kit and other online resources that enhance the authors’ explanations and examples .

CoNteNts1 Problem Solving and Algebraic Thinking1 .1 Introduction to Problem Solving1 .2 Patterns and Problem Solving1 .3 Problem Solving with Algebra2 Sets, Functions, and Reasoning2 .1 Sets and Venn Diagrams2 .2 Functions, Coordinates and Graphs2 .3 Introduction to Deductive Reasoning3 Whole Numbers3 .1 Numeration Systems3 .2 Addition and Subtraction3 .3 Multiplication3 .4 Division and Exponents4 Number Theory4 .1 Factors and Multiples4 .2 Greatest Common Divisor and Least Common Multiple5 Integers and Fractions5 .1 Integers5 .2 Introduction to Fractions5 .3 Operations with Fractions6 Decimals: Rational and Irrational Numbers6 .1 Decimals and Rational Numbers6 .2 Operations with Decimals6 .3 Ratio, Percent, and Scientific Notation6 .4 Irrational and Real Numbers7 Statistics7 .1 Collecting and Graphing Data7 .2 Describing and Analyzing Data7 .3 Sampling, Predictions, and Simulations8 Probability8 .1 Single-Stage Experiments8 .2 Multistage Experiments9 Geometric Figures9 .1 Plane Figures9 .2 Polygons and Tessellations9 .3 Space Figures9 .4 Symmetric Figures


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10 Measurement10 .1 Systems of Measurement10 .2 Area and Perimeter10 .3 Volume and Surface Area11 Motions in Geometry11 .1 Congruence and Constructions11 .2 Congruence Mappings11 .3 Similarity Mappings .References for Resarch Statements by ChapterAnswers to Selected One-Page Math ActivitiesAnswers to PuzzlersAnswers to Odd-Numbered ExercisesCreditsIndex


MATHEMATICS FOR ELEMENTARY TEACHERSAn Activity Approach, Seventh EditionBy Albert B. Bennett, University Of New Hampshire, and Ted Nelson, Portland State University2007 (June 2006) / 416 pages / Spiral Bound/CombISBN-13: 978-0-07-305370- 7 / MHID: 0-07-305370-8 ISBN-13: 978-0-07-329856-6 / MHID: 0-07-329856-5 (with Man Kit)ISBN-13: 978-0-07-128651-0 / MHID: 0-07-128651-9 [IE, Man Kit]

This book is designed for a mathematics for elementary school teachers course where instructors choose to focus on and/or take an activities approach to learning . It provides inductive activities for prospective elementary school teachers and incorporates the use of physical models, manipulatives, and visual images to develop concepts and encourage higher-level thinking . This text contains an activity set that corresponds to each section of the companion text, Mathematics for Elementary Teachers: A Conceptual Approach which is also by Bennett/Nelson . The Activities Approach text can be used independently or along with its companion volume . The authors are pleased to welcome Laurie Burton, PhD, Western Oregon University to this edition of Mathematics for Elementary Teachers: An Activity Approach .

CoNteNtsActivity Sets .1: Problem Solving1 .1 Seeing and Extending Patterns With Pattern Blocks1 .2 Geometric Number Patterns With Color Tiles1 .3 Solving Story Problems With Algebra Pieces2: Sets, Functions and Reasoning2 .1 Sorting and Classifying With Attribute Pieces2 .2 Graphing Spirolaterals2 .3 Logic Problems For Cooperative Learning Groups3: Whole Numbers3 .1 Models For Numeration With Multibase Pieces3 .2 Adding and Subtracting With Multibase Pieces3 .3 Multiplying With Base-Ten Pieces3 .4 Dividing With Base-Ten Pieces4: Number Theory4 .1 Models For Even Numbers, Odd Numbers, Factors and Primes4 .2 Models For Greatest Common Factor and Least Common Multiple5: Integers and Fractions5 .1 Black and Red Tile Model For Integers5 .2 Fraction-Bar Model For Equality and Inequality5 .3 Computing With Fraction Bars

6: Decimals: Rational and Irrational6 .1 Decimal Squares Model6 .2 Operations With Decimal Squares6 .3 A Model For Introducing Percent6 .4 Irrational Numbers On the Geoboard7: Statistics7 .1 Scatter Plots: Looking for Relationships7 .2 Analyzing Data, Sampling and Simulation7 .3 Statistical Distributions: Observations and Applications8: Probability8 .1 Probability Experiments8 .2 Multistage Probability Experiments9: Geometric Figures9 .1 Figures On Rectangular and Circular Geoboards9 .2 Regular and Semiregular Tessellations9 .3 Models for Regular and Semiregular Polyhedra9 .4 Creating Symmetric Figures: Pattern Blocks and Paper Folding10: Measurement10 .1 Measuring With Metric Units10 .2 Areas On Geoboards10 .3 Models For Volume and Surface Area11: Motions In Geometry11 .1 Locating Sets of Points in the Plane11 .2 Drawing Escher-Type Tessellations11 .3 Devices For Indirect Measurement .

Finite MathematicsSCHAUM’S OUTLINE OF BEGINNING FINITE MATHEMATICSBy Seymour Lipschutz , Temple University -Philadelphia; John J Schiller and R. Alu Srinivasan, Temple University2005 / Softcover / 368 pages ISBN-13: 978-0-07-138897-9 / MHID: 0-07-138897-4

Most colleges and universities now require their non-science majors to take a one- or two-semester course in mathematics . Taken by 300,000 students annually, finite mathematics is the most popular. Updated and revised to match the structures and syllabuses of contemporary course offerings, Schaum’s Outline of Beginning Finite Mathematics provides a thorough review-- with worked examples--of the fundamentals of linear equations and linear growth . Topics covered include games theory, descriptive statistics, normal distribution, probability, binomial distribution, and voting systems and apportionment .

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Discrete Mathematics


DISCRETE MATHEMATICS AND ITS APPLICATIONSSixth EditionBy Kenneth H. Rosen, AT&T Laboratories2007 (January 2006) / Hardcover with Access cardISBN-13: 978-0-07-322972-0 / MHID: 0-07-322972-5 (with MathZone)ISBN-13: 978-0-07-331271-2 / MHID: 0-07-331271-1 (with Math Zone Kit)ISBN-13: 978-0-07-124474-9 / MHID: 0-07-124474-3 [IE]

Browse http://www.mhhe.com/rosenDiscrete Mathematics and its Applications, Sixth Edition, is intended for one- or two-term introductory discrete mathematics courses taken by students from a wide variety of majors, including computer science, mathematics, and engineering . This renowned best-selling text, which has been used at over 500 institutions around the world, gives a focused introduction to the primary themes in a discrete mathematics course and demonstrates the relevance and practicality of discrete mathematics to a wide a wide variety of real-world applications…from computer science to data networking, to psychology, to chemistry, to engineering, to linguistics, to biology, to business, and to many other important fields.

CoNteNtsPreface . The Companion Website . To the Student .1 The Foundations: Logic and Proof, Sets, and Functions1 .1 Logic1 .2 Propositional Equivalences1 .3 Predicates and Quantifiers1 .4 Nested Quantifiers1 .5 Methods of Proof1 .6 Sets1 .7 Set Operations1 .8 FunctionsEnd-of-Chapter Material .2 The Fundamentals: Algorithms, the Integers, and Matrices2 .1 Algorithms2 .2 The Growth of Functions2 .3 Complexity of Algorithms2 .4 The Integers and Division2 .5 Integers and Algorithms2 .6 Applications of Number Theory2 .7 MatricesEnd-of-Chapter Material .3 Mathematical Reasoning, Induction, and Recursion3 .1 Proof Strategy3 .2 Sequences and Summations3 .3 Mathematical Induction3 .4 Recursive Definitions and Structural Induction3 .5 Recursive Algorithms3 .6 Program CorrectnessEnd-of-Chapter Material .4 Counting4 .1 The Basics of Counting4 .2 The Pigeonhole Principle4 .3 Permutations and Combinations4 .4 Binomial Coefficients4 .5 Generalized Permutations and Combinations4 .6 Generating Permutations and Combinations .End-of-Chapter Material .5 Discrete Probability5 .1 An Introduction to Discrete Probability5 .2 Probability Theory

5 .3 Expected Value and Variance .End-of-Chapter Material .6 Advanced Counting Techniques6 .1 Recurrence Relations6 .2 Solving Recurrence Relations6 .3 Divide-and-Conquer Algorithms and Recurrence Relations6 .4 Generating Functions6 .5 Inclusion-Exclusion6 .6 Applications of Inclusion-ExclusionEnd-of-Chapter Material .7 Relations7 .1 Relations and Their Properties7 .2 n-ary Relations and Their Applications7 .3 Representing Relations7 .4 Closures of Relations7 .5 Equivalence Relations7 .6 Partial OrderingsEnd-of-Chapter Material .8 Graphs8 .1 Introduction to Graphs8 .2 Graph Terminology8 .3 Representing Graphs and Graph Isomorphism8 .4 Connectivity8 .5 Euler and Hamilton Paths8 .6 Shortest-Path Problems8 .7 Planar Graphs8 .8 Graph ColoringEnd-of-Chapter Material .9 Trees9 .1 Introduction to Trees9 .2 Applications of Trees9 .3 Tree Traversal9 .4 Spanning Trees9 .5 Minimum Spanning TreesEnd-of-Chapter Material10 Boolean Algebra10 .1 Boolean Functions10 .2 Representing Boolean Functions10 .3 Logic Gates10 .4 Minimization of CircuitsEnd-of-Chapter Material .11 Modeling Computation11 .1 Languages and Grammars11 .2 Finite-State Machines with Output11 .3 Finite-State Machines with No Output11 .4 Language Recognition11 .5 Turing Machines End-of-Chapter MaterialAppendixesA .1 Exponential and Logarithmic FunctionsA .2 Pseudocode Suggested ReadingsAnswers to Odd-Numbered ExercisesPhoto CreditsIndex of BiographiesIndex


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DISCRETE MATHEMATICS BY EXAMPLEBy Andrew Simpson, Oxford Brookes2002 / 450 pages ISBN-13: 978-0-07-709840-7 / MHID: 0-07-709840-4ISBN-13: 978-0-07-122914-2 / MHID: 0-07-122914-0 [IE]McGraw-Hill UK Title

CoNteNts1 Introduction .2 Numbers .3 Propositional logic .4 Set theory .5 Boolean algebra .6 Typed set theory .7 Predicate logic .8 Relations .9 Functions .10 Sequences .11 Induction .12 Graph theory .13 Combinatorics .14 Modelling .15 Analysis .

SCHAUM’S OUTLINE OF DISCRETE MATHEMATICS3rd EditionBy Seymour Lipschutz, Temple University-Philadelphia and Marc Lipson, University of Georgia2008 (July 2007) / 496 pagesISBN-13: 978-0-07-147038-4 / MHID: 0-07-147038-7A Schaum’s PublicationDiscrete mathematics becomes more and more important as the digital age goes forward . This newly revised third edition updates all areas of the subject .

CoNteNtsSet TheoryRelationsFunctions and AlgorithmsLogic and Propositional CalculusCountingAdvanced Counting TechniquesComputer ArithmeticProbability TheoryGraph TheoryDirected GraphsBinary TreesProperties of the IntegersCryptologyLanguages, Grammar, MachinesOrdered Sets and LatticesBoolean AlgebraAppendix A: Vectors and MatricesAppendix B: Algebraic Systems


SCHAUM’S 2,000 SOLVED PROBLEMS IN DISCRETE MATHEMATICSBy Seymour Lipschutz, Temple University1992 / 412 pagesISBN-13: 978-0-07-038031-8 / MHID: 0-07-038031-7ISBN-13: 978-0-07-112690-8 / MHID: 0-07-112690-2 [IE](Out of Print)A Schaum’s Publication

(International Edition is not for sale in Japan .)

CoNteNtsSet Theory .Relations .Functions .Vectors and Matrices .Graph Theory .Planar Graphs and Trees .Directed Graphs and Binary Trees .Combinatorial Analysis .Algebraic Systems .Languages, Grammars, Automata .Ordered Sets and Lattices .Propositional Calculus .Boolean Algebra .Logic Gates .

Technical Mathematics

New

MATHEMATICS FOR TECHNICIANSSixth EditionBy Alldis2007 (October 2007)ISBN-13: 978-0-07-013165-1 / MHID: 0-07-013165-1McGraw-Hill Australia Title

(Details unavailable at press time)

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TECHNICAL MATH DEMYSTIFIEDBy Stan Gibilisco2006 (April 2006) / 412 pagesISBN-13: 978-0-07-145949-5 / MHID: 0-07-145949-9A Professional PublicationHere is a complete self-teaching guide for anyone needing knowledge of math as it applies to engineering and technical fields.

CoNteNtsPREFACE / ACKNOWLEDGMENTSChapter 1: Numbering SystemsChapter 2: Principles of CalculationChapter 3: Specific NotationChapter 4: Coordinates in Two DimensionsChapter 5: Coordinates in Three DimensionsChapter 6: Equations in One VariableChapter 7: Multivariable EquationsChapter 8: Perimeter and Area in Two DimensionsChapter 9: Surface Area and Volume in Three DimensionsChapter 10: Boolean AlgebraChapter 11: Trigonometric FunctionsChapter 12: Vectors in Two and Three DimensionsChapter 13: Logarithmic and Exponential FunctionsChapter 14: Differentiation in One VariableChapter 15: Integration in One VariableFinal Exam / Answers to Quiz and Exam Questions / Suggested Additional References / Index


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College Algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .51College Algebra With Trigonometry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .56Precalculus . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .58Trigonometry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .54

NEW TITLES

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PRECALCULUS2009 Author ISBN-13 MHID PageCollege Algebra: Graphs And Models, 3e Barnett 9780073051956 0073051950 51

Precalculus: Graphs And Models, 3e Barnett 9780077221294 007722129X 58

2008College Algebra, 8e Barnett 9780073312620 0073312622 52

College Algebra With Trigonometry, 8e Barnett 9780073312644 0073312649 56

Precalculus With Limits, 6e Barnett 9780073365800 0073365807 60

Precalculus With Mathzone, 6e Barnett 9780073312637 0073312630 61

Trigonometry With Mathzone Coburn 9780073312668 0073312665 54

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College Algebra

New

COLLEGE ALGEBRA: GRAPHS AND MODELS3rd EditionBy Raymond A Barnett, Merritt College, Michael R Ziegler and Karl E Byleen of Marquette University, David Sobecki, Miami University-Hamilton2009 (February 2008)ISBN-13: 978-0-07-305195-6 / MHID: 0-07-305195-0ISBN-13: 978-0-07-722128-7 / MHID: 0-07-722128-1 (Mandatory Package)

http://www.mhhe.com/barnettThe Barnett Graphs & Models series in college algebra and precalculus maximizes student comprehension by emphasizing computational skills, real-world data analysis and modeling, and problem solving rather than mathematical theory . Many examples feature side-by-side algebraic and graphical solutions, and each is followed by a matched problem for the student to work . This active involvement in the learning process helps students develop a more thorough understanding of concepts and processes . A hallmark of the Barnett series, the function concept serves as a unifying theme . A major objective of this book is to develop a library of elementary functions, including their important properties and uses . Employing this library as a basic working tool, students will be able to proceed through this course with greater confidence and understanding as they first learn to recognize the graph of a function and then learn to analyze the graph and use it to solve the problem . Applications included throughout the text give the student substantial experience in solving and modeling real world problems in an effort to convince even the most skeptical student that mathematics is really useful .

New to this editioN

The narrative has been extensively reworked in order to make �the language less formal and more engaging for students .

A new interior design offers a cleaner presentation of concepts �and pedagogy .

More examples featuring side-by-side algebraic and graphical �solutions have been added to better integrate solution methods .

Annotated steps, in small colored type, are used more frequently �to walk students through each critical step in the problem-solving process .

Expanded exercise sets provide additional practice, especially �at the easy to moderate levels .

An Annotated Instructor’s Edition is now available for instructors �and provides answers to each problem in the exercise set on the same page as the problem appears .

MATHZONE McGraw-Hill’s MathZone is a complete, online �tutorial and course management system for mathematics and statistics, designed for greater ease of use than any other system available . Instructors can create and share courses and assignments with colleagues and adjuncts in a matter of a few clicks of a mouse . All instructor teaching resources are accessed online, as well as student assignments, questions, e-Professors, online tutoring and video lectures which are directly tied to text specific material . MathZone courses are customized to your textbook, but you can edit questions and algorithms, import your own content, create announcements and due dates for assignments . MathZone has automatic grading and reporting of easy-to-assign algorithmically

generated homework, quizzing and testing . Student activity within MathZone is automatically recorded and available to you through a fully integrated grade book than can be downloaded to Excel . Go to www .mathzone .com to learn more .

CoNteNtsCHAPTER 1 FUNCTIONS, GRAPHS, AND MODELS 1-1 Using Graphing Utilities 1-2 Functions 1-3 Functions: Graphs and Properties 1-4 Functions: Graphs and Transformations 1-5 Operations on Functions; Composition 1-6 Inverse Functions Chapter 1 Review Chapter 1 Group Activity: Mathematical Modeling–Choosing a Long Distance Calling PlanCHAPTER 2 MODELING WITH LINEAR AND QUADRATIC FUNCTIONS 2-1 Linear Functions 2-2 Linear Equations and Models 2-3 Quadratic Functions 2-4 Complex Numbers 2-5 Quadratic Equations and Models 2-6 Additional Equation Solving Techniques 2-7 Solving Inequalities Chapter 2 Review Chapter 2 Group Activity: Mathematical Modeling in Population Studies Cumulative Review Exercise for Chapters 1 and 2CHAPTER 3 POLYNOMIAL AND RATIONAL FUNCTIONS 3-1 Polynomial Functions And Models 3-2 Polynomial Division 3-3 Real Zeros and Polynomial Inequalities 3-4 Complex Zeros and Rational Zeros of Polynomials 3-5 Rational Functions and Inequalities 3-6 Variation and Modeling Chapter 3 Review Chapter 3 Group Activity: Interpolating PolynomialsCHAPTER 4 MODELING WITH EXPONENTIAL AND LOGARITHMIC FUNCTIONS 4-1 Exponential Functions 4-2 Exponential Models 4-3 Logarithmic Functions 4-4 Logarithmic Models 4-5 Exponential and Logarithmic Equations Chapter 4 Review Cumulative Review Chapters 3 and 4 Chapter 4 Group Activity: Comparing Regression Models Cumulative Review Exercise for Chapters 3 and 4CHAPTER 5 MODELING WITH SYSTEMS OF EQUATIONS AND INEQUALITIES 5-1 Systems of Linear Equations in Two Variables 5-2 Systems of Linear Equations in Three Variables 5-3 Systems of Linear Inequalities 5-4 Linear Programming Chapter 5 Review Chapter 5 Group Activity: Modeling with Systems of EquationsCHAPTER 6 MATRICES AND DETERMINANTS 6-1 Matrix Solutions to Linear Systems 6-2 Matrix Operations 6-3 Inverse of a Square Matrix 6-4 Matrix Equations and Systems of Linear Equations 6-5 Determinants 6-6 Properties of Determinants 6-7 Determinants and Cramer’s Rule Chapter 6 Review Chapter 6 Group Activity: Using Matrices to Find Cost, Revenue, and Profit Cumulative Review Exercise for Chapters 5 and 6CHAPTER 7 SEQUENCES, INDUCTION, PROBABILITY 7-1 Sequences and Series

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7-2 Mathematical Induction 7-3 Arithmetic and Geometric Sequences 7-4 Multiplication Principle, Permutations, and Combinations 7-5 Sample Spaces and Probability 7-6 Binomial Formula Chapter 7 Review Chapter 7 Group Activity: Sequences Specified by Recursion FormulasCHAPTER 8 ADDITIONAL TOPICS IN ANALYTIC GEOMETRY 8-1 Conic Sections; Parabola 8-2 Ellipse 8-3 Hyperbola 8-4 Systems of Nonlinear Equations 8-5 Rotation of Axes Chapter 8 Review Chapter 8 Group Activity: Focal Chords Cumulative Review Exercise for Chapters 7 and 8Appendix A BASIC ALGEBRA REVIEW A-1 Algebra and Real Numbers A-2 Exponents A-3 Radicals A-4 Polynomials: Basic Operations A-5 Polynomials: Factoring A-6 Rational Expressions: Basic Operations A-7 Linear Equations and Inequalities A-8 Cartesian Coordinate System A-9 Basic Formulas in Analytic Geometry Appendix A Review Appendix A Group Activity: Rational Number RepresentationsAppendix B SPECIAL TOPICS B-1 Significant Digits B-2 Partial Fractions B-3 Parametric EquationsAppendix C GEOMETRIC FORMULAS

New

COLLEGE ALGEBRAEighth Edition

By Raymond Barnett, Merritt College, Michael Ziegler and Karl Byleen of Marquette University


The Barnett, Ziegler, Byleen College Algebra series is designed to be user friendly and to maximize student comprehension . The goal of this series is to emphasize computational skills, ideas, and problem solving rather than mathematical theory . The large number of pedagogical devices employed in this text will guide a student through the course . Integrated throughout the text, the students and instructors will find Explore-Discuss boxes which encourage students to think critically about mathematically concepts . In each section, the worked examples are followed by matched problems that reinforce the concept being taught . In addition, the text contains an abundance of exercises and applications that will convince students that math is useful .

New to this editioN

Objective Based Learning: Introductory section objectives have �been expanded to include the “what and why” of the objectives, followed by icons within the text identifying the specific areas of focus . A summary of chapter objectives will now be featured in the chapter

summary material .

Mathematical Modeling and Data Analysis: A focus on �mathematical modeling and data analysis, specifically establishing a step by step process for understanding word problems and gathering the data from said problems .

Graphical Interpretation: Throughout both examples and �exercises, this feature focuses on the importance of learning to read and extract data from a given graph . This is developed by first presenting a graph and using a problem solving approach to read said graph . This focus aids in conceptualizing functions and building mathematical models .

Throughout both examples and exercises, this feature focuses on �the importance of learning to read and extract data from a given graph . This is developed by first presenting a graph and using a problem solving approach to read said graph . This focus aids in conceptualizing functions and building mathematical models .

CoNteNtsChapter R: Basic Algebraic OperationsR-1 Algebra and Real NumbersR-2 ExponentsR-3 RadicalsR-4 Polynomials: Basic OperationsR-5 Polynomials: FactoringR-6 Rational Expressions: Basic OperationsChapter R ReviewChapter R Group Activity: Rational Number RepresentationsChapter 1: Equations and Inequalities1-1 Linear Equations and Applications1-2 Linear Inequalities1-3 Absolute Value1-4 Complex Numbers1-5 Quadratic Equations and Applications1-6 Equations Involving RadicalsChapter 1 ReviewChapter 1 Group Activity: Solving a Cubic EquationChapter 2: Graphs2-1 Cartesian Coordinate system2-2 Distance in the Plane2-3 Equations of a line2-4 Linear Equations and ModelsChapter 2 ReviewChapter 2 Group Activity: Rates of ChangeChapter 3: Functions3-1 Functions3-2 Graphing Functions3-3 Transformations of Functions3-4 Quadratic Functions3-5 Combining Functions; Composition3-6 Inverse FunctionsChapter 3 ReviewChapter 3 Group Activity: Mathematical Modeling: Choosing a Long-Distance Calling PlanChapters 1-3 Cumulative Review ExercisesChapter 4: Polynomials and Rational Functions4-1 Polynomial Functions and Models4-2 Real Zeros and Polynomial Inequalities4-3 Complex Zeros and Rational Zeros of Polynomials4-4 Rational Functions and Inequalities4-5 Variation and ModelingChapter 4 ReviewChapter 4 Group Activity: Interpolating PolynomialsChapter 5: Exponential and Logarithmic Functions5-1 Exponential Functions5-2 Exponential Models5-3 Logarithmic Functions5-4 Logarithmic Models5-5 Exponential and Logarithmic EquationsChapter 5 Review

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Chapter 5 Group Activity: Growth of Increasing FunctionsChapters 4-5 Cumulative Review ExercisesChapter 6: Additional Topics in Analytic Geometry6-1 Conic Sections; Parabolas6-2 Ellipses6-3 HyperbolasChapter 6 ReviewChapter 6 Group Activity: Focal ChordsChapter 7: Systems of Equations and Inequalities; Matrices7-1 Systems of Linear Equations: Graphing and Substitution7-2 Systems of Linear Equations: Elimination7-3 Systems of Linear Equations: Gauss-Jordan Elimination7-4 Matrices: Basic Operations7-5 Systems of Linear Equations: Matrix Inverse Methods7-6 Systems of Nonlinear Equations7-7 Systems of Linear Inequalities in Two Variables7-8 Linear ProgrammingChapter 7 ReviewChapter 7 Group Activity: Modeling With Systems of Linear EquationsChapter 8: Sequences and Series8-1 Sequences and Series8-2 Mathematical Induction8-3 Arithmetic and Geometric Sequences8-4 Counting Techniques: Multiplication Principle, Permutations, and Combinations8-5 Sample Spaces and Probability8-6 Binomial FormulaChapter 8 ReviewChapter 8 Group Activity: Sequences Specified by Recursion FormulasChapters 6-8 Cumulative Review ExercisesAppendix A: Special TopicsA-1 Scientific Notation and Significant DigitsA-2 Partial FractionsA-3 Parametric EquationsAppendix B: Geometric Formulas

COLLEGE ALGEBRABy John W. Coburn, St Louis Community College-Flors Valley2007 (December 2005) ISBN-13: 978-0-07-330542-4 / MHID: 0-07-330542-1ISBN-13: 978-0-07-322982-9 / MHID: 0-07-322982-2 (with MathZone)

Browse http://www.mhhe.com/coburnThis college algebra text is written in a friendly and an easy to understand manner in order to help students understand the concept presented . This feature combined with ample examples, various types of exercises, and well thought out, real-world applications give the student the right tools to succeed. There are specific features and exercise problems to incorporate graphing calculator technology for those interested, however the material is presented in a way so that it may be skipped for those not utilizing technology .

CoNteNtsChapter R: Review of Basic Concepts and SkillsR .1 The Language, Notation and Numbers of MathematicsR .2 Algebraic Expressions and the Properties of Real NumbersR .3 Exponents, Polynomials and Operations on PolynomialsR .4 Rational Expressions R .5 Radicals and Rational ExponentsChapter 1: Equations and Inequalities1 .1 Linear Equations, Formulas and Problem Solving1 .2 Linear Inequalities in One Variable with Applications1 .3 Solving Polynomial and Other Equations

1 .4 Complex Numbers1 .5 Solving Non-Factorable Quadratic EquationsChapter 2: Functions and Graphs2 .1 Rectangular Coordinates and the Graph of a Line2 .2 Relations, Functions and Graphs2 .3 Linear Functions and Rates of Change2 .4 Quadratic and Other Toolbox Functions2 .5 Functions and Inequalities--A Graphical View2 .6 Regression, Technology and Data AnalysisChapter 3: Operations on Functions and Analyzing Graphs3 .1 The Algebra and Composition of Functions3 .2 One-to-One and Inverse Functions3 .3 Toolbox Functions and Transformations3 .4 Graphing General Quadratic Functions3 .5 Asymptotes and Simple Rational Functions3 .6 Toolbox Applicaitons: Direct and Inverse Variation3 .7 Piecewise-Defined Functions3 .8 Analyzing the Graph of a FunctionChapter 4: Polynomial and Rational Functions4 .1 Polynomial Long Division and Synthetic Division4 .2 The Remainder and Factor Theorems4 .3 Zeroes of Polynomial Functions4 .4 Graphing Polynomial Functions4 .5 Graphing Rational Functions4 .6 Additional Insights into Rational Functions4 .7 Polynomial and Rational Inequalities–Analytical ViewChapter 5: Exponential and Logarithmic Functions5 .1 Exponential Functions5 .2 Logarithms and Logarithmic Functions5 .3 The Natural Logarithmic Function and Properties of Logarithms5 .4 Exponential/Logarithmic Equations and Applications5 .5 Applications from Investment, Finance and Physical Science5 .6 Exponential, Logarithmic and Logistic Regression ModelsChapter 6: Systems of Equations and Inequalities6 .1 Linear Systems in Two Variables with Applications6 .2 Linear Systems in Three Variables with Applications6 .3 Systems of Linear Inequalities and Linear Programming6 .4 Systems and Absolute Value Equations and Inequalities6 .5 Solving Linear Systems using Matrices and Row Operations6 .6 The Algebra of Matrices6 .7 Solving Linear Systems using Matrix Equations6 .8 Matrix Applications: Cramer’s Rule, Partial Fractions and MoreChapter 7: Conic Sections and Non-Linear Systems7 .1 The Circle and the Ellipse7 .2 The Hyperbola7 .3 Non-Linear Systems of Equations and Inequalities7 .4 Foci and the Analytic Ellipse and Hyperbola7 .5 The Analytic ParabolaChapter 8: Additional Topics in Algebra8 .1 Sequences and Series8 .2 Arithmetic Sequences8 .3 Geometric Sequences8 .4 Mathematical Induction8 .5 Fundamentals of Quick-Counting8 .6 Counting Techniques: Permutations and Combinations8 .7 Introduction to Probability8 .8 The Binomial Theorem and Binomial ProbabilitiesAdditional Topics Available on the Web.Strengthening Core Skills: Probability and The Birthday Paradox .Technology Extension: Nth Terms and the Nth Partial Sum .Calculator Exploration and Discover: The Normal Distribution Formula .Math in Action: Empirical versus Theoretical Probability .Appendix I: U .S . Customary and Metric Conversion Factors .Appedix II: Rounding, Estimation and Significant Digits .Appendix III: Rational Expressions and the Least Common Denominator .Appendix IV: Augmented Matrices and Matrix Inverses .Appendix V: Deriving the Equation of a Conic .Appendix VI: Basic Principles for Good Programming .

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SCHAUM’S OUTLINE OF COLLEGE ALGEBRA Third EditionBy Robert Moyer, Ph.D., Fort Valley State College, and Murray R. Spiegel, Deceased2007 (December 2005) / 376 pages / SoftcoverISBN-13: 978-0-07-145227-4 / MHID: 0-07-145227-3 A Schaum’s PublicationAlgebra, the foundation for all higher mathematics, is explained to both beginners and those reviewing algebra for further work in math, science, and engineering . This superior study guide--with a first edition that sold more than 600,000 copies--examines the most current terminology, emphasis, and technology . The new edition also includes:

Greater emphasis on graphing calculators �

Clarified material on logarithms and determinants �

A simplified review of fractions �

SCHAUM’S EASY OUTLINE: COLLEGE ALGEBRABy Murray R. Spiegel (Deceased) and Robert Moyer, Fort Valley State College2000 / 160 pages ISBN-13: 978-0-07-052709-6 / MHID: 0-07-052709-1A Scahum’s PublicationCoNteNtsFunctions, Limits, Continuity .Fundamental Differentiation .Implicit Differentiation .Tangents and Normals .Maxima and Minima .Differentiating for Special Functions .Implicit Differentiating .The Law of the Mean .Indeterminate Forms .Differentials .Curve Tracing .Fundamental Integration .Applications of Indefinite Integrals .The Definite Integral .Plane Areas of Integration .Exponential and Logarithmic Functions .Exponential Growth and Decay .Improper Integrals .

Trigonometry

New

TRIGONOMETRY WITH MATHZONE

By John Coburn, St Louis Community College-Flors Valley


Browse http://www.mhhe.com/coburnThis trigonometry text is written in a friendly and an easy to understand manner in order to help students understand the concepts presented . This feature combined with ample examples, a broad range of exercises, and engaging real-world applications, give the student the right tools to succeed. There are specific features and exercise problems to incorporate graphing calculator technology for those interested, however the material is presented in a way so that it may be skipped for those not utilizing technology .

Features

Exercises--a wealth of exercises support the text’s main ideas, �and due to their range of difficulty, there is strong support for weaker students, while advanced students are challenged to reach even further .

Examples--abundant examples carefully prepare the students �for homework and exams . Easily located on the page, Coburn’s numerous examples expose the learner to more exercise types than most other texts .

Applications--large quantity of applications that explore a wide �variety of interests and illustrate how mathematics is connected to other disciplines and the world around us .

Student-friendly exposition--Coburn provides a smooth and �conversational writing style that includes helpful hints, mathematical connections, cautions and opportunities for further exploration .

MATHZONE--MathZone sets the bar for classroom technology . �Algorithmically generated problems, video lectures, interactive exercise walk-throughs, as well as, online testing and assessment using ALEKS technology, which all feed to a unified gradebook . www .mathzone .com

ALEKS (Assessment and Learning in Knowledge Spaces)--an �artificial intelligence-based system for mathematics and statistics learning, available online 24/7 . Using unique adaptive questioning, ALEKS accurately assesses what topics each students knows and then determines exactly what each student is ready to learn next . ALEKS interacts with a student much as a skilled human tutor would, moving between explanation and practice as needed, correcting and analyzing errors, defining terms and changing topics on request, and helping them master the course content more quickly and easily . www .highed .aleks .com .

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CoNteNtsChapter 1: An Introduction to TrigonometryPreview1 .1 Angle Measure, Special Triangles, and Special Angles1 .2 The Trigonometry of Right Triangles1 .3 Trigonometry and the Coordinate Plane1 .4 Unit Circles and Trigonometric FunctionsChapter 2: Trigonometric Graphs and Models2 .1 Graphs of Sine and Cosine Functions2 .2 Graphs of Tangent and Cotangent Functions2 .3 Transformations and Applications of Trigonometric Graphs2 .4 Trigonometric ModelsChapter 3: Trig Identities: Their Purpose, Place, and ApplicationPreview3 .1 Fundamental Identities and Families of Identities3 .2 Constructing and Verifying Identities3 .3 The Sum and Difference Identities3 .4 Double Angle, Half Angle, and Product-to-Sum IdentitiesChapter 4: Trigonometric EquationsPreview4 .1 One-to-One and Inverse Functions4 .2 The Inverse Trig Functions and their Application4 .3 Solving Basic Trig Equations4 .4 General Trig Equations and Applications4 .5 Parametric Equations and GraphsChapter 5: Applications of TrigonometryPreview5 .1 Oblique Triangles and the Law of Sines5 .2 Law of Sines and the Ambiguous Case5 .3 The Law of Cosines5 .4 Vectors and Vector Diagrams5 .5 Vectors Applications and the Dot Product5 .6 Complex Numbers5 .7 Complex Numbers in Trigonometric Form5 .8 Demoivre’s Theorem and the Nth Roots TheoremChapter 6: Conic Sections and Polar CoordinatesPreview6 .1 The Circle and the Ellipse6 .2 The Hyperbola6 .3 Foci and the Analytic Ellipse and Hyperbola6 .4 The Analytic Parabola6 .5 Polar Coordinates, Equations, and Graphs6 .6 More on the Conic Sections: Rotations of Axes and Polar Form

TRIGONOMETRYRevised Third EditionBy John D Baley, Cerritos College and Gary Sarell, Cerritos College2003 ISBN-13: 978-0-07-283337-9 / MHID: 0-07-283337-8

CoNteNtsPREFACECHAPTER 1: Measurement of Angles, Arcs and Sectors.Using Radians, Degrees, or Grads to Measure Angles .Length of an Arc and Area of a Sector of a Circle .Circular Motion .Key Ideas .Review Test .Chapter 2: The Trigonometric FunctionsDefinition of the Six Trigonometric Functions .Values of the Trigonometric Functions for 0, 30, 45, 60, 90, 180 degree Angles .Trigonometric Functions for Right Triangles .Solving Right Triangles .Applications of Right Triangle Trigonometry .Circular Functions .Key Ideas .Review Test .Chapter 3: Graphs of the Trigonometric FunctionsGraphing Generic Sine and Cosine Functions .Shifting Generic Curves Right/Left or Up/Down .Using the Graphing Calculator to Graph Functions by Addition of Ordinates .Graphing the Tangent and Cotangent Functions .Graphing the Secant and Cosecant Functions .Qualitative Analysis of Trigonometric Functions .Key Ideas .Review Test .Chapter 4: Inverse Trigonometric FunctionsRelations, Functions, and Their Inverses .Inverse of the Trigonometric Functions .Finding Inverses of Trigonometric Functions Using a Calculator .Key Ideas .Review Test .Chapter 5: Basic Trigonometric IdentitiesFundamental Identities .Opposite Angle Identities .Additional Techniques to Prove Identities .Key Ideas .Review Test .Chapter 6: Sum and Difference IdentitiesSum and Difference Formulas for Cosine .Some Identities Useful in Calculus .Tan ( ) .Identities Involving Sums and Differences of n or +n .Key Ideas .Review Test .Chapters 1-6 Cumulative Review .Chapter 7: Additional IdentitiesDouble-Angle Identities .Half-Angle Identities .Identities to Rewrite Sums and Products .Key Ideas .Review Test .Chapter 8: Trigonometric EquationsSolving Basic Trigonometric Equations .Solving Trigonometric Equations Involving Factoring .Solving Trigonometric Equations Where the Argument is a Function .Using Identities to Solve Trigonometric Equations .Applications .Key Ideas .Review Test .Chapter 9: Laws of Sines and Law of CosinesDerivation of the Law of Sines .

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The Ambiguous Case .Applications of the Law of Sines .Derivations of the Law of Cosines .Applications of the Law of Cosines .Area of a Triangle .Key Ideas .Review Test .Chapter 10: VectorsAddition of Vectors .Geometric Resolution of Vectors .Algebraic Resolution of Vectors .Work, Inclined Planes, and the Dot Product .Key Ideas .Review Test .Chapter 11: Complex NumbersAlgebraic Operations with Complex Numbers .Trigonometric and Polar Representation of Complex Numbers .DeMoivre’s Theorem .Key Ideas .Review Test .Chapter 12: Polar CoordinatesThe Polar Coordinate System .Parametric Equations .Other Curves in Polar Coordinates .Key Ideas .Review Test .Chapters 1-12 Cumulative Review .Appendix Rounding Off And Significant Figures .Selected Answers .Index

SCHAUM’S OUTLINE OF TRIGONOMETRYFourth EditionBy Robert Moyer, Fort Valley State University and Frank Ayres (deceased)2008 (July 2008) / 211 pagesISBN-13: 978-0-07-154350-7 / MHID: 0-07-154350-3A Schaum’s PublicationA classic Schaum’s bestseller, thoroughly updated to match the latest course scope and sequence . The ideal review for the hundreds of thousands of college and high school students who enroll in trigonometry courses .

CoNteNts1 . Angles and Applications 2 . Trigonometric Functions of a General Angle 3 . Trigonometric Functions of an Acute Angle 4 . Solutions of Right Triangles 5 . Practical Applications 6 . Reduction to Functions of Positive Acute Angles 7 . Variation and Graphs of the Trigonometric Functions 8 . Basic Relationships and Identities 9 . Trigonometric Functions of Two Angles 10 . Sum, Difference, and Product Formulas 11 . Oblique Triangles 12 . Area of a Triangle 13 . Inverses of Trigonometric Functions 14 . Trigonomeric Equations 15 . Complex Numbers

College Algebra with Trigonometry


COLLEGE ALGEBRA WITH TRIGONOMETRYEighth Edition

By Raymond A Barnett, Merritt College, Michael Ziegler and Karl Byleen of Marquette University

2008 (February 2007)ISBN-13: 978-0-07-331264-4 / MHID: 0-07-331264-9ISBN-13: 978-0-07-111127-0 / MHID: 0-07-111127-1 [IE]

Browse http://www.mhhe.com/barnettThe Barnett, Ziegler, Byleen College Algebra series is designed to be user friendly and to maximize student comprehension . The goal of this series is to emphasize computational skills, ideas, and problem solving rather than mathematical theory . College Algebra with Trigonometry, 7/E, introduces a right angle approach to trigonometry and can be used in one or two semester college algebra with trig or precalculus courses . The large number of pedagogical devices employed in this text will guide a student through the course . Integrated throughout the text, the students and instructors will find Explore-Discuss boxes which encourage students to think critically about mathematical concepts . In each section, the worked examples are followed by matched problems that reinforce the concept that is being taught . In addition, the text contains an abundance of exercises and applications that will convince students that math is useful . A Smart CD is packaged with the seventh edition of the book . This CD reinforces important concepts, and provides students with extra practice problems .

New to this editioN


Objective Based Learning: Introductory section objectives have �been expanded to include the “what and why” of the objectives, followed by icons within the text identifying the specific areas of focus . A summary of chapter objectives will now be featured in the chapter summary material .

Graphical Interpretation: Throughout both examples and �exercises, this feature focuses on the importance of learning to read and extract data from a given graph . This is developed by first presenting a graph and using a problem solving approach to read said graph . This focus aids in conceptualizing functions and building mathematical models .

Throughout both examples and exercises, this feature focuses on �the importance of learning to read and extract data from a given graph . This is developed by first presenting a graph and using a problem solving approach to read said graph . This focus aids in conceptualizing functions and building mathematical models .

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CoNteNtsChapter R: Basic Algebraic OperationsR-1 Algebra and Real NumbersR-2 ExponentsR-3 RadicalsR-4 Polynomials: Basic OperationsR-5 Polynomials: FactoringR-6 Rational Expressions: Basic OperationsChapter R ReviewChapter R Group Activity: Rational Number RepresentationsChapter 1: Equations and Inequalities1-1 Linear Equations and Applications1-2 Linear Inequalities1-3 Absolute Value1-4 Complex Numbers1-5 Quadratic Equations and Applications1-6 Equations Involving RadicalsChapter 1 ReviewChapter 1 Group Activity: Solving a Cubic EquationChapter 2: Graphs2-1 Cartesian Coordinate system2-2 Distance in the Plane2-3 Equations of a line2-4 Linear Equations and ModelsChapter 2 ReviewChapter 2 Group Activity: Rates of ChangeChapter 3: Functions3-1 Functions3-2 Graphing Functions3-3 Transformations of Functions3-4 Quadratic Functions3-5 Combining Functions; Composition3-6 Inverse FunctionsChapter 3 ReviewChapter 3 Group Activity: Mathematical Modeling: Choosing a Long-Distance Calling PlanChapters 1-3 Cumulative Review ExercisesChapter 4: Polynomials and Rational Functions4-1 Polynomial Functions and Models4-2 Real Zeros and Polynomial Inequalities4-3 Complex Zeros and Rational Zeros of Polynomials4-4 Rational Functions and Inequalities4-5 Variation and ModelingChapter 4 ReviewChapter 4 Group Activity: Interpolating PolynomialsChapter 5: Exponential and Logarithmic Functions5-1 Exponential Functions5-2 Exponential Models5-3 Logarithmic Functions5-4 Logarithmic Models5-5 Exponential and Logarithmic EquationsChapter 5 ReviewChapter 5 Group Activity: Growth of Increasing FunctionsChapters 4-5 Cumulative Review ExercisesChapter 6: Trigonometric Functions6-1 Angles and Their Measure6-2 Right-Triangle Trigonometry6-3 Trigonometric Functions: A Unit Circle Approach6-4 Trigonometric Functions: Properties and Graphs6-5 More General Trigonometric Functions6-6 Inverse Trigonometric FunctionsChapter 6 ReviewChapter 6 Group Activity: A Predator-Prey Analysis Involving Mountain Lions and DeerChapter 7: Trigonometric Identities and Conditional Equations7-1 Basic Identities and Their Use7-2 Sum, Difference, and Cofunction Identities7-3 Double-Angle and Half-Angle Identities7-4 Product-Sum and Sum-Product Identities7-5 Trigonometric EquationsChapter 7 Review

Chapter 7 Group Activity: From M sin Bt + N cos Bt to A sin(Bt + C): A Harmonic Analysis ToolChapter 8: Additional Topics in Trigonometry8-1 Law of Sines8-2 Law of Cosines8-3 Vectors in the Plane8-4 Polar Coordinates and Graphs8-5 Complex Numbers and De Moivre’s TheoremChapter 8 ReviewChapter 8 Group Activity: Conic Sections and Planetary OrbitsChapters 6-8 Cumulative Review ExercisesChapter 9: Additional Topics in Analytic Geometry9-1 Conic Sections; Parabolas9-2 Ellipses9-3 Hyperbolas9-4 Rotation of AxesChapter 9 ReviewChapter 9 Group Activity: Focal ChordsChapter 10: Systems of Equations and Inequalities; Matrices10-1 Systems of Linear Equations: Graphing and Substitution10-2 Systems of Linear Equations: Elimination10-3 Systems of Linear Equations: Gauss-Jordan Elimination10-4 Matrices: Basic Operations10-5 Systems of Linear Equations: Matrix Inverse Methods10-6 Systems of Nonlinear Equations10-7 Systems of Linear Inequalities in Two Variables10-8 Linear ProgrammingChapter 10 ReviewChapter 10 Group Activity: Modeling With Systems of Linear EquationsChapter 11: Sequences and Series11-1 Sequences and Series11-2 Mathematical Induction11-3 Arithmetic and Geometric Sequences11-4 Counting Techniques: Multiplication Principle, Permutations, and Combinations11-5 Sample Spaces and Probability11-6 Binomial FormulaChapter 11 ReviewChapter 11 Group Activity: Sequences Specified by Recursion FormulasChapters 9-11 Cumulative Review ExercisesAppendix A: Special TopicsA-1 Scientific NotationAnd Significant DigitsA-2 Partial FractionsA-3 Parametric EquationsAppendix B: Geometric Formulas

COLLEGE ALGEBRA WITH TRIGONOMETRY:Graphs and ModelsBy Raymond A Barnett, Merritt College—Oakland; Michael R. Ziegler, Marquette University and Karl E Byleen, Marquette University2005 / 1,120 pages ISBN-13: 978-0-07-292231-8 / MHID: 0-07-292231-1 (with MathZone)

http://www.mhhe.com/barnett/CoNteNts1 Functions, Graphs, and Models:1-1 Using Graphing Utilities .1-2 Functions .1-3 Functions: Graphs and Properties .1-4 Functions: Graphs and Transformations .1-5 Operations on Functions; Composition .

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1-6 Inverse Functions .2 Modeling with Linear and Quadratic Functions2-1 Linear Functions .2-2 Linear Equations and Models .2-3 Quadratic Functions .2-4 Complex Numbers .2-5 Quadratic Equations and Models .2-6 Additional Equation-Solving Techniques .2-7 Solving Inequalities .3 Polynomial and Rational Functions3-1 Polynomial Functions and Models .3-2 Real Zero and Polynomial Inequalities .3-3 Complex Zeros and Rational Zeros of Polynomials .3-4 Rational Functions and Inequalities .4 Exponential and Logarithmic Functions4-1 Exponential Functions .4-2 Exponential Models .4-3 Logarithmic Functions .4-4 Logarithmic Models .4-5 Exponential and Logarithmic Equations .5 Trigonometric Functions5-1 Angles and Their Measure .5-2 Right Triangle Trigonometry .5-3 Trigonometric Functions: A Unit Circle Approach .5-4 Properties of Trigonometric Functions .5-5 More General Trigonometric Functions .5-6 Inverse Trigonometric Functions .6 Trigonometric Identities and Conditional Equations6-1 Basic Identities and Their Use .6-2 Sum, Difference, and Cofunction Identities .6-3 Double-Angle and Half-Angle Identities .6-4 Product-Sum and Sum-Product Identities .6-5 Trigonometric Equations .7 Additional Topics in Trigonometry7-1 Law of Sines .7-2 Law of Cosines .7-3 Geometric Vectors .7-4 Algebraic Vectors .7-5 Polar Coordinates and Graphs .7-6 Complex Numbers in Rectangular and Polar Forms .7-7 De Moivre’s Theorem .8 Modeling with Linear Systems8-1 Systems of Linear Equations in Two Variables .8-2 Systems of Linear Equations and Augmented Matrices .8-3 Gauss-Jordan Elimination .8-4 Systems of Linear Inequalities .8-5 Linear Programming .9 Matrices and Determinants9-1 Matrix Operations .9-2 Inverse of a Square Matrix .9-3 Matrix Equations and Systems of Linear Equations .9-4 Determinants .9-5 Properties of Determinants .9-6 Determinants and Cramer’s Rule .10 Sequences, Induction, and Probability10-1 Sequences and Series .10-2 Mathematical Induction .10-3 Arithmetic and Geometric Sequences .10-4 Multiplication Principle, Permutations, and Combinations .10-5 Sample Spaces and Probability .10-6 Binomial Formula .11 Additional Topics in Analytic Geometry11-1 Conic Sections; Parabola .11-2 Ellipse .11-3 Hyperbola .11-4 Translation of Axes .11-5 Rotation of Axes .11-6 Nonlinear Systems .Appendix A Basic Algebra Review .Appendix B Special Topics .Appendix C Geometric Formulas

Precalculus

New

PRECALCULUS: GRAPHS AND MODELSThird EditionBy Raymond A Barnett, Merritt College, Michael R Ziegler and Karl E Byleen of Marquette University, David Sobecki, Miami University-Hamilton2009 (February 2008) ISBN-13: 978-0-07-722129-4 / MHID: 0-07-722129-X

http://www.mhhe.com/barnettThe Barnett Graphs & Models series in college algebra and precalculus maximizes student comprehension by emphasizing computational skills, real-world data analysis and modeling, and problem solving rather than mathematical theory . Many examples feature side-by-side algebraic and graphical solutions, and each is followed by a matched problem for the student to work . This active involvement in the learning process helps students develop a more thorough understanding of concepts and processes .

A hallmark of the Barnett series, the function concept serves as a unifying theme . A major objective of this book is to develop a library of elementary functions, including their important properties and uses . Employing this library as a basic working tool, students will be able to proceed through this course with greater confidence and understanding as they first learn to recognize the graph of a function and then learn to analyze the graph and use it to solve the problem . Applications included throughout the text give the student substantial experience in solving and modeling real world problems in an effort to convince even the most skeptical student that mathematics is really useful .

New to this editioN

The narrative has been extensively reworked in order to make �the language less formal and more engaging for students .

A new interior design offers a cleaner presentation of concepts �and pedagogy .

More examples featuring side-by-side algebraic and graphical �solutions have been added to better integrate solution methods .

Annotated steps, in small colored type, are used more frequently �to walk students through each critical step in the problem-solving process .

Expanded exercise sets provide additional practice, especially �at the easy to moderate levels .

An Annotated Instructor’s Edition is now available for instructors �and provides answers to each problem in the exercise set on the same page as the problem appears .

MATHZONE McGraw-Hill’s MathZone is a complete, online �tutorial and course management system for mathematics and statistics, designed for greater ease of use than any other system available . Instructors can create and share courses and assignments with colleagues and adjuncts in a matter of a few clicks of a mouse . All instructor teaching resources are accessed online, as well as student assignments, questions, e-Professors, online tutoring and video lectures which are directly tied to text specific material . MathZone courses are customized to your textbook, but you can edit questions and algorithms, import your own content, create announcements and due dates for assignments . MathZone has automatic grading and reporting of easy-to-assign algorithmically generated homework, quizzing and testing . Student activity within

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MathZone is automatically recorded and available to you through a fully integrated grade book than can be downloaded to Excel . Go to www .mathzone .com to learn more .

CoNteNtsCHAPTER 1 FUNCTIONS, GRAPHS, AND MODELS 1-1 Using Graphing Utilities 1-2 Functions 1-3 Functions: Graphs and Properties 1-4 Functions: Graphs and Transformations 1-5 Operations on Functions; Composition 1-6 Inverse Functions Chapter 1 Review Chapter 1 Group Activity: Mathematical Modeling–Choosing a Long Distance Calling PlanCHAPTER 2 MODELING WITH LINEAR AND QUADRATIC FUNCTIONS 2-1 Linear Functions 2-2 Linear Equations and Models 2-3 Quadratic Functions 2-4 Complex Numbers 2-5 Quadratic Equations and Models 2-6 Additional Equation Solving Techniques 2-7 Solving Inequalities Chapter 2 Review Chapter 2 Group Activity: Mathematical Modeling in Population Studies Cumulative Review Exercise for Chapters 1 and 2CHAPTER 3 POLYNOMIAL AND RATIONAL FUNCTIONS 3-1 Polynomial Functions And Models 3-2 Polynomial Division 3-3 Real Zeros and Polynomial Inequalities 3-4 Complex Zeros and Rational Zeros of Polynomials 3-5 Rational Functions and Inequalities 3-6 Variation and Modeling Chapter 3 Review Chapter 3 Group Activity: Interpolating PolynomialsCHAPTER 4 MODELING WITH EXPONENTIAL AND LOGARITHMIC FUNCTIONS 4-1 Exponential Functions 4-2 Exponential Models 4-3 Logarithmic Functions 4-4 Logarithmic Models 4-5 Exponential and Logarithmic Equations Chapter 4 Review Cumulative Review Chapters 3 and 4 Chapter 4 Group Activity: Comparing Regression Models Cumulative Review Exercise for Chapters 3 and 4CHAPTER 5 TRIGONOMETRIC FUNCTIONS 5-1 Angles and Their Measure 5-2 Trigonometric Functions: A Unit Circle Approach 5-3 Solving Right Triangles 5-4 Properties of Trigonometric Functions 5-5 More General Trigonometric Functions and and Models 5-6 Inverse Trigonometric Functions Chapter 5 Review Chapter 5 Group Activity: A Predator-Prey Analysis Involving Mountain Lions and DeerCHAPTER 6 TRIGONOMETRIC IDENTITIES AND CONDITIONAL EQUATIONS 6-1 Basic Identities and Their Use 6-2 Sum, Difference, and Cofunction Identities 6-3 Double-Angle and Half-Angle Identities 6-4 Product-Sum and Sum-Product Identities 6-5 Trigonometric Equations Chapter 6 Review Chapter 6 Group Activity: From M sin Bt + N cos Bt to A sin (Bt + C)--A Harmonic Analysis ToolCHAPTER 7 ADDITIONAL TOPICS IN TRIGONOMETRY 7-1 Law of Sines 7-2 Law of Cosines

7-3 Vectors in the Plane 7-4 Polar Coordinates and Graphs 7-5 Complex Numbers and De Moivre’s Theorem Chapter 7 Review Chapter 7 Group Activity: Conic Sections and Planetary Orbits Cumulative Review Exercise for Chapters 5, 6, and 7CHAPTER 8 MODELING WITH SYSTEMS OF EQUATIONS AND INEQUALITIES 8-1 Systems of Linear Equations in Two Variables 8-2 Systems of Linear Equations in Three Variables 8-3 Systems of Linear Inequalities 8-4 Linear Programming Chapter 8 Review Chapter 8 Group Activity: Modeling with Systems of EquationsCHAPTER 9 MATRICES AND DETERMINANTS 9-1 Matrix Solutions to Linear Systems 9-2 Matrix Operations 9-3 Inverse of a Square Matrix 9-4 Matrix Equations and Systems of Linear Equations 9-5 Determinants 9-6 Properties of Determinants 9-7 Determinants and Cramer’s Rule Chapter 9 Review Chapter 9 Group Activity: Using Matrices to Find Cost, Revenue, and Profit Cumulative Review Exercise for Chapters 8 and 9CHAPTER 10 SEQUENCES, INDUCTION, PROBABILITY 10-1 Sequences and Series 10-2 Mathematical Induction 10-3 Arithmetic and Geometric Sequences 10-4 Multiplication Principle, Permutations, and Combinations 10-5 Sample Spaces and Probability 10-6 Binomial Formula Chapter 10 Review Chapter 10 Group Activity: Sequences Specified by Recursion FormulasCHAPTER 11 ADDITIONAL TOPICS IN ANALYTIC GEOMETRY 11-1 Conic Sections; Parabola 11-2 Ellipse 11-3 Hyperbola 11-4 Systems of Nonlinear Equations 11-5 Rotation of Axes Chapter 11 Review Chapter 11 Group Activity: Focal Chords Cumulative Review Exercise for Chapters 10 and 11Appendix A BASIC ALGEBRA REVIEW A-1 Algebra and Real Numbers A-2 Exponents A-3 Radicals A-4 Polynomials: Basic Operations A-5 Polynomials: Factoring A-6 Rational Expressions: Basic Operations A-7 Linear Equations and Inequalities A-8 Cartesian Coordinate System A-9 Basic Formulas in Analytic Geometry Appendix A Review Appendix A Group Activity: Rational Number RepresentationsAppendix B Special Topics B-1 Significant Digits B-2 Partial Fractions B-3 Parametric EquationsAppendix C Geometric Formulas

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New

PRECALCULUS WITH LIMITSSixth Edition

By Raymond A Barnett, Merritt College, Michael R Ziegler and Karl E Byleen of Marquette University

2008 (March 2007)ISBN-13: 978-0-07-336580-0 / MHID: 0-07-336580-7

The Barnett, Ziegler, Byleen College Algebra series is designed to be user friendly and to maximize student comprehension, emphasizing computational skills, ideas, and problem solving as opposed to mathematical theory . Suitable for a one or two semester college algebra with trigonometry or precalculus course, Precalculus with Limits introduces a unit circle approach to trigonometry and includes a chapter on limits to provide students with a solid foundation for calculus concepts . The large number of pedagogical devices employed in this text will guide a student through the course . Integrated throughout the text, students and instructors will find Explore-Discuss boxes which encourage students to think critically about mathematical concepts . In each section, the worked examples are followed by matched problems that reinforce the concept being taught . In addition, the text contains an abundance of exercises and applications that will convince students that math is useful . A MathZone site featuring algorithmic exercises, videos, and other resources accompanies the text .

New to this editioN

Preview of Calculus: Unique to this edition, a chapter on limits �offers coverage of computing limits algebraically, limits at infinity, and the derivative, in addition to other topics, to better prepare students for calculus .



CoNteNtsChapter R: Basic Algebraic Operations R-1 Algebra and Real Numbers R-2 Exponents R-3 Radicals R-4 Polynomials: Basic Operations R-5 Polynomials: Factoring R-6 Rational Expressions: Basic Operations Chapter R Review Chapter R Review Exercises Chapter R Group Activity: Rational and Irrational Numbers Chapter 1: Equations and Inequalities 1-1 Linear Equations and Applications 1-2 Linear Inequalities 1-3 Absolute Value in Equations and Inequalities 1-4 Complex Numbers 1-5 Quadratic Equations and Applications 1-6 Additional Equation-Solving Techniques Chapter 1 Review Chapter 1 Review Exercises

Chapter 1 Group Activity: Solving a Cubic Equation Chapter 2: Graphs 2-1 Cartesian Coordinate System 2-2 Distance in the Plane 2-3 Equations of a Line 2-4 Linear Equations and Models Chapter 2 Review Chapter 2 Review Exercises Chapter 2 Group Activity: Rates of Change Chapter 3: Functions 3-1 Functions 3-2 Graphing Functions 3-3 Transformations of Functions 3-4 Quadratic Functions 3-5 Operations on Functions; Composition 3-6 Inverse Functions Chapter 3 Review Chapter 3 Review Exercises Chapter 3 Group Activity: Mathematical Modeling: Choosing a Long-Distance Calling Plan Cumulative Review Exercises Chapters 1-3 Chapter 4: Polynomials and Rational Functions 4-1 Polynomial Functions and Models 4-2 Real Zeros and Polynomial Inequalities 4-3 Complex Zeros and Rational Zeros of Polynomials 4-4 Rational Functions and Inequalities 4-5 Variation and Modeling Chapter 4 Review Chapter 4 Review Exercises Chapter 4 Group Activity: Interpolating Polynomials Chapter 5: Exponential and Logarithmic Functions 5-1 Exponential Functions 5-2 Exponential Models 5-3 Logarithmic Functions 5-4 Logarithmic Models 5-5 Exponential and Logarithmic Equations Chapter 5 Review Chapter 5 Review Exercises Chapter 5 Group Activity: Comparing Regression Models Cumulative Review Exercises Chapters 4-5 Chapter 6: Trigonometric Functions 6-1 Angles and Their Measure 6-2 Trigonometric Functions: A Unit Circle Approach 6-3 Solving Right Triangles 6-4 Properties of Trigonometric Functions 6-5 More General Trigonometric Functions and Models 6-6 Inverse Trigonometric Functions Chapter 6 Review Chapter 6 Review Exercises Chapter 6 Group Activity: A Predator-Prey Analysis Involving Mountain Lions and Deer Chapter 7: Trigonometric Identities and Conditional Equations 7-1 Basic Identities and Their Use 7-2 Sum, Difference, and Cofunction Identities 7-3 Double-Angle and Half-Angle Identities 7-4 Product-Sum and Sum-Product Identities 7-5 Trigonometric Equations Chapter 7 Review Chapter 7 Review Exercises Chapter 7 Group Activity: From M sin Bt + N cos Bt to A sin (Bt + C): A Harmonic Analysis Tool Chapter 8: Additional Topics in Trigonometry 8-1 Law of Sines 8-2 Law of Cosines 8-3 Vectors in the Plane 8-4 Polar Coordinates and Graphs 8-5 Complex Numbers and De Moivre’s Theorem Chapter 8 Review Chapter 8 Review Exercises Chapter 8 Group Activity: Conic Sections and Planetary Orbits Cumulative Review Exercises Chapters 6-8

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Chapter 9: Additional Topics in Analytic Geometry 9-1 Conic Sections; Parabolas 9-2 Ellipse 9-3 Hyperbola 9-4 Translation and Rotation of Axes Chapter 9 Review Chapter 9 Review Exercises Chapter 9 Group Activity: Focal Chords Chapter 10: Systems of Equations and Inequalities; Matrices 10-1 Systems of Linear Equations in Two Variables 10-2 Systems of Linear Equations in Three Variables 10-3 Systems of Linear Equations: Gauss-Jordan Elimination 10-4 Matrix Operations 10-5 Systems of Linear Equations: Matrix Inverse Methods 10-6 Systems of Nonlinear Equations 10-7 Systems of Linear Inequalities in Two Variables 10-8 Linear Programming Chapter 10 Review Chapter 10 Review Exercises Chapter 10 Group Activity: Modeling With Systems of Linear Equations Chapter 11: Sequences, Induction, and Probability 11-1 Sequences and Series 11-2 Mathematical Induction 11-3 Arithmetic and Geometric Sequences 11-4 Multiplication Principle, Permutations, and Combinations 11-5 Sample Spaces and Probability 11-6 Binomial Formula Chapter 11 Review Chapter 11 Review Exercises Chapter 11 Group Activity: Sequences Specified by Recursion Formulas Cumulative Review Exercises Chapters 9-11 Chapter 12 Limits: An Introduction to Calculus 12-1 Introduction to Limits 12-2 Computing Limits Algebraically 12-3 Limits at Infinity 12-4 The Derivative 12-5 Area and Calculus Chapter 12 Review Chapter 12 Review Exercises Chapter 12 Group Activity: Derivatives of Exponential and Log Functions Appendix A: Special Topics A-1 Scientific Notation and Significant Digits A-2 Partial Fractions A-3 Parametric Equations Appendix B: Geometric Formulas Student Answers Subject Index


PRECALCULUS WITH MATHZONESixth Edition

By Raymond Barnett, Merritt College, Michael Ziegler and Karl Byleen of Marquette University

2008 (February 2007) ISBN-13: 978-0-07-331263-7 / MHID: 0-07-331263-0ISBN-13: 978-0-07-111319-9 / MHID: 0-07-111319-3 [IE]

The Barnett, Ziegler, Byleen College Algebra series is designed to be user friendly and to maximize student comprehension . The goal of this series is to emphasize computational skills, ideas, and problem solving rather than mathematical theory . Precalculus introduces a unit circle approach to trigonometry and can be used in one or two semester college algebra with trig or precalculus courses . The large number of pedagogical devices employed in this text will guide a student through the course . Integrated throughout the text, students and instructors will find Explore-Discuss boxes which encourage students to think critically about mathematical concepts . In each section, the worked examples are followed by matched problems that reinforce the concept being taught . In addition, the text contains an abundance of exercises and applications that will convince students that math is useful . A Smart CD is packaged with the seventh edition of the book . This CD reinforces important concepts, and provides students with extra practice problems .

New to this editioN

Preview of Calculus: This precalculus text includes a further focus �on those skills considered prerequisite for calculus . Foundations of Calculus icons are included throughout identifying key examples and exercises needed to build this skill set . A review chapter summarizing these skills will round out the text .



CoNteNtsChapter R: Basic Algebraic OperationsR-1 Algebra and Real NumbersR-2 ExponentsR-3 RadicalsR-4 Polynomials: Basic OperationsR-5 Polynomials: FactoringR-6 Rational Expressions: Basic OperationsChapter R ReviewChapter R Group Activity: Rational Number RepresentationsChapter 1: Equations and Inequalities1-1 Linear Equations and Applications1-2 Linear Inequalities1-3 Absolute Value1-4 Complex Numbers1-5 Quadratic Equations and Applications1-6 Equations Involving RadicalsChapter 1 Review






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Chapter 1 Group Activity: Solving a Cubic EquationChapter 2: Graphs2-1 Cartesian Coordinate system2-2 Distance in the Plane2-3 Equations of a line2-4 Linear Equations and ModelsChapter 2 ReviewChapter 2 Group Activity: Rates of ChangeChapter 3: Functions3-1 Functions3-2 Graphing Functions3-3 Transformations of Functions3-4 Quadratic Functions3-5 Combining Functions; Composition3-6 Inverse FunctionsChapter 3 ReviewChapter 3 Group Activity: Mathematical Modeling: Choosing a Long-Distance Calling PlanChapters 1-3 Cumulative Review ExercisesChapter 4: Polynomials and Rational Functions4-1 Polynomial Functions and Models4-2 Real Zeros and Polynomial Inequalities4-3 Complex Zeros and Rational Zeros of Polynomials4-4 Rational Functions and Inequalities4-5 Variation and ModelingChapter 4 ReviewChapter 4 Group Activity: Interpolating PolynomialsChapter 5: Exponential and Logarithmic Functions5-1 Exponential Functions5-2 Exponential Models5-3 Logarithmic Functions5-4 Logarithmic Models5-5 Exponential and Logarithmic EquationsChapter 5 ReviewChapter 5 Group Activity: Growth of Increasing FunctionsChapters 4-5 Cumulative Review ExercisesChapter 6: Trigonometric Functions6-1 Angles and Their Measure6-2 Trigonometric Functions: A Unit Circle Approach6-3 Solving Right Triangles6-4 Trigonometric Functions: Properties and Graphs6-5 More General Trigonometric Functions6-6 Inverse Trigonometric FunctionsChapter 6 ReviewChapter 6 Group Activity: A Predator-Prey Analysis Involving Mountain Lions and DeerChapter 7: Trigonometric Identities and Conditional Equations7-1 Basic Identities and Their Use7-2 Sum, Difference, and Cofunction Identities7-3 Double-Angle and Half-Angle Identities7-4 Product-Sum and Sum-Product Identities7-5 Trigonometric EquationsChapter 7 ReviewChapter 7 Group Activity: From M sin Bt + N cos Bt to A sin(Bt + C): A Harmonic Analysis ToolChapter 8: Additional Topics in Trigonometry8-1 Law of Sines8-2 Law of Cosines8-3 Vectors in the Plane8-4 Polar Coordinates and Graphs8-5 Complex Numbers and De Moivre’s TheoremChapter 8 ReviewChapter 8 Group Activity: Conic Sections and Planetary OrbitsChapters 6-8 Cumulative Review ExercisesChapter 9: Additional Topics in Analytic Geometry9-1 Conic Sections; Parabolas9-2 Ellipses9-3 Hyperbolas9-4 Rotation of AxesChapter 9 ReviewChapter 9 Group Activity: Focal Chords

Chapter 10: Systems of Equations and Inequalities; Matrices10-1 Systems of Linear Equations: Graphing and Substitution10-2 Systems of Linear Equations: Elimination10-3 Systems of Linear Equations: Gauss-Jordan Elimination10-4 Matrices: Basic Operations10-5 Systems of Linear Equations: Matrix Inverse Methods10-6 Systems of Nonlinear Equations10-7 Systems of Linear Inequalities in Two Variables10-8 Linear ProgrammingChapter 10 ReviewChapter 10 Group Activity: Modeling With Systems of Linear EquationsChapter 11: Sequences and Series11-1 Sequences and Series11-2 Mathematical Induction11-3 Arithmetic and Geometric Sequences11-4 Counting Techniques: Multiplication Principle, Permutations, and Combinations11-5 Sample Spaces and Probability11-6 Binomial FormulaChapter 11 ReviewChapter 11 Group Activity: Sequences Specified by Recursion FormulasChapters 9-11 Cumulative Review ExercisesAppendix A: Special TopicsA-1 Scientific Notation and Significant DigitsA-2 Partial FractionsA-3 Parametric EquationsAppendix B: Geometric Formulas

PRECALCULUS Concepts, Connections and ApplicationsBy John W Coburn, St Louis Community College-Flors Valley2007 (April 2006) ISBN-13: 978-0-07-322981-2 / MHID: 0-07-322981-4 (with MathZone)

Browse http://www.mhhe.com/coburnThis Precalculus text is written in a friendly and an easy to understand manner in order to help students understand the concept presented . This feature combined with ample examples, various types of exercises, and well thought out, real-world applications give the student the right tools to succeed. There are specific features and exercise problems to incorporate graphing calculator technology for those interested, however the material is presented in a way so that it may be skipped for those not utilizing technology .

CoNteNtsChapter 1: Equations and Inequalities1 .1 Linear Equations, Formulas and Problem Solving1 .2 Linear Inequalities in One Variable with Applications1 .3 Solving Polynomial and Other Equations1 .4 Complex Numbers 1 .5 Solving Non-Factorable Quadratic EquationsChapter 2: Functions and Graphs2 .1 Rectangular Coordinates and the Graph of a Line2 .2 Relations, Functions and Graphs2 .3 Linear Functions and Rates of Change2 .4 Quadratic and Other Toolbox Functions2 .5 Functions and Inequalities--A Graphical View2 .6 Regression, Technology and Data AnalysisChapter 3: Operations on Functions and Analyzing Graphs3 .1 The Algebra and Composition of Functions3 .2 One-to-One and Inverse Functions3 .3 Toolbox Functions and Transformations3 .4 Graphing General Quadratic Functions

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3 .5 Asymptotes and Simple Rational Functions3 .6 Toolbox Applications: Direct and Inverse Variation3 .7 Piecewise-Defined Functions3 .8 Analyzing the Graph of a FunctionChapter 4: Polynomial and Rational Functions4 .1 Polynomial Long Division and Synthetic Division4 .2 The Remainder and Factor Theorems4 .3 Zeroes of Polynomial Functions4 .4 Graphing Polynomial Functions4 .5 Graphing Rational Functions4 .6 Additional Insights into Rational Functions4 .7 Polynomial and Rational Inequalities--Analytical ViewChapter 5: Exponential and Logarithmic Functions5 .1 Exponential Functions5 .2 Logarithms and Logarithmic Functions5 .3 The Natural Logarithmic Function and Properties of Logarithms5 .4 Exponential/Logarithmic Equations and Applications5 .5 Applications from Investment, Finance and Physical Science5 .6 Exponential, Logarithmic and Logistic Regression ModelsChapter 6: An Introduction to Trigonometric Functions6 .0 An Introduction to Cycles and Periodic Functions (on the Web)6 .1 Radian Measure and the Trigonometric Functions 6 .3 Graphs of the Sine and Cosine Functions6 .4 Graphs of the Tangent and Cotangent Functions 6 .5 Transformations and Applications of Trigonometric Graphs 6 .6 Angle Measure, Special Triangles and Special Angles 6 .7 The Trigonometry of Right Triangles 6 .8 Trigonometry and the Coordinate PlaneChapter 7: Trigonometric Identities, Inverses and Equations 7 .1 Fundamental Identities and Families of Identities 7 .2 Constructing and Verifying Identities 7 .3 The Sum and Difference Identities 7 .4 Double Angle, Half Angle and Product-to-Sum Identities 7 .5 The Inverse Trig Functions and their Application 7 .6 Solving Basic Trig Equations7 .7 General Trig Equations and Applications 7 .8 Trigonometric Models and Sinusoidal Regression Chapter 8: Applications of Trigonometry8 .1 Oblique Triangles and the Law of Sines8 .2 Law of Sines and the Ambiguous Case 8 .3 the Law of Cosines 8 .4 Vectors and Vector Diagrams 8 .5 Vectors Applications and the Dot Product 8 .6 Complex Numbers in Trigonometric Form; Products and Quotients8 .7 Demoivre’s Theorem and the Nth Roots TheoremChapter 9: Systems of Equations and Inequalities 9 .1 Linear Systems in Two Variables with Applications9 .2 Linear Systems in Three Variables with Applications9 .3 Systems of Linear Inequalities and Linear Programming9 .4 Systems and Absolute Value Equations and Inequalities9 .5 Solving Linear Systems using Matrices and Row Operations9 .6 The Algebra of Matrices9 .7 Solving Linear Systems using Matrix Equations9 .8 Matrix Applications: Cramer’s Rule, Partial Fractions and More Chapter 10: Topics From Analytical Geometry 10 .0 An Introdcution to Analytical Geometry (on the Web) 10 .1 The Circle and the Ellipse 10 .2 The Hyperbola10 .3 Non-Linear Systems of Equations and Inequalities 10 .4 Foci and the Analytic Ellipse and Hyperbola10 .5 The Analytic Parabola 10 .6 Polar Coordinates, Equations and Graphs 10 .7 More on the Conic Sections: Rotation of Axes and Polar Form 10 .8 Parametric Equations of Graphs Chapter 11: Additional Topics In Algebra 11 .1 Sequences and Series 11 .2 Arithmetic Sequences 11 .3 Geometric Sequences11 .4 Mathematical Induction 11 .5 Fundamentals of Quick-Counting

11 .6 Counting Techniques: Permutations and Combinations 11 .7 Introduction to Probability 11 .8 The Binomial Theorem and Binomial Probabilities 11 .9 Conditional Probability and Expected Value 11 .10 Probability and the Normal Curve--Applications for Today Chapter R: Review of Basic Concepts and Skills R .1 The Language, Notation and Numbers of Mathematics R .2 Algebraic Expressions and the Properties of Real Numbers .R .3 Exponents, Polynomials and Operations on Polynomials R .4 Factoring PolynomialsR .5 Rational ExpressionsR .6 Radicals and Rational ExponentsR .7 Geometry Review with Unit ConversionsR .8 Expressions, Tables and Graphing Calculators .

SCHAUM’S OUTLINE OF PRECALCULUSSecond EditionBy Fred Safier, City College of San Francisco2009 (July 2008) / 426 pagesISBN-13: 978-0-07-150864-3 / MHID: 0-07-150864-3A Schaum’s PublicationA classic Schaum’s bestseller, thoroughly updated to match the latest course scope and sequence . The ideal review for the hundreds of thousands of college and high school students who enroll in precalculus courses .

CoNteNts1 . Polynomials 2 . Exponents 3 . Rational and Radical Expressions 4 . Linear and Non-Linear Equations 5 . Linear and Non-Linear Inequalities 6 . Absolute Value in Equations and Inequalities 7 . Analytic Geometry 8 . Functions 9 . Linear Functions 10 . Transformations and Graphs 11 . Quadratic Functions 12 . Algebra of Functions 13 . Polynomial Functions 14 . Rational Functions 15 . Algebraic Functions; Variations 16 . Exponential Functions 17 . Logarithmic Functions 18 . Exponential and Logarithmic Equations 19 . Trigonometric Functions 20 . Graphs of Trignometric Functions 21 . Angles 22 . Trigonometric Identities and Equations 23 . Sum, Difference, Multiple, and Half-Angle Formulas 24 . Inverse Trigonometric Functions 25 . Triangles 26 . Vectors 27 . Polar Coordinates; Parametric Equations 28 . Trigonometric Form of Complex Numbers 29 . Systems of Linear Equations 30 . Gaussian and Gauss-Jordan Elimination 31 . Partial Fraction 32 . Decomposition 33 . Non-Linear Systems of Equations 34 . Introduction to Matrix Algebra 35 . Matrix Multiplication and Inverses 36 . Determinants and Cramer’s Rule 37 . Loci; Parabolas 38 . Ellipses and Hyperbolas

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39 . Rotation of Axes 40 . Conic Sections 41 . Sequences and Series 42 . The Principle of Mathematical Induction 43 . Special Sequences and Series 44 . The Binomial Theorem

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CALCULUS2008 Author ISBN-13 MHID PageCalculus: Late Transcendental Functions, 3e Smith 9780073312705 0073312703 69

Calculus: Multivariable: Late Transcendental Functions, 3e Smith 9780073314204 007331420X 80

Calculus, Single Variable: Late Transcendental Functions, 3e Smith 9780073314198 0073314196 74

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Applied / Business Calculus

International Business

APPLIED CALCULUS FOR BUSINESS, ECONOMICS, AND THE SOCIAL AND LIFE SCIENCES, EXPANDED EDITIONNinth EditionBy Laurence D. Hoffmann, Salomon Smith Barney and Gerald L. Bradley, all of Claremont Mckenna College2007 (January 2006) / 576 pgs / HardcoverISBN-13: 978-0-07-305192-5 / MHID: 0-07-305192-6 ISBN-13: 978-0-07-322979-9 / MHID: 0-07-322979-2(with MathZone)ISBN-13: 978-0-07-330926-2 / MHID: 0-07-330926-5 (MP)ISBN-13: 978-0-07-110818-8 / MHID: 0-07-110818-1 [IE with MathZone]ISBN-13: 978-0-07-110672-6 / MHID: 0-07-110672-3 [IE]

Browse http://www.mhhe.com/hoffmannApplied Calculus for Business, Economics, and the Social and Life Sciences introduces calculus in real-world contexts and provides a sound, intuitive understanding of the basic concepts students need as they pursue careers in business, the life sciences, and the social sciences . This EXPANDED EDITION includes four additional chapters on Differential Equations, Infinite Series and Taylor Approximations, Probability, and Trigonometric Functions . The new Ninth Edition builds on the straightforward writing style, practical applications from a variety of disciplines, clear step-by-step problem solving techniques, and comprehensive exercise sets that have been hallmarks of Hoffmann/Bradley’s success through the years .

CoNteNtsPreface .1 Functions, Graphs, and Limits1 .1 Functions1 .2 The Graph of a Function1 .3 Linear Functions1 .4 Functional Models1 .5 Limits1 .6 One-Sided Limits and Continuity Chapter Summary . Important Terms, Symbols, and Formulas . Checkup for Chapter1 . Review Problems . Explore! Update . Think About It .2 Differentiation: Basic Concepts.2 .1 The Derivative2 .2 Techniques of Differentiation2 .3 Product and Quotient Rules; Higher Order Derivatives2 .4 The Chain Rule .2 .5 Marginal Analysis and Approximations Using Increments2 .6 Implicit Differentiation and Related Rates . Chapter Summary . Important Terms, Symbols, and Formulas . Checkup for Chapter2 . Review Problems . Explore! Update . Think About It .3 Additional Applications of the Derivative3 .1 Increasing and Decreasing Functions; Relative Extrema3 .2 Concavity and Points of Inflection3 .3 Curve Sketching3 .4 Optimization3 .5 Additional Applied Optimization . Chapter Summary . Important Terms, Symbols, and Formulas . Checkup for Chapter3 . Review Problems . Explore! Update . Think About It .4 Exponential and Logarithmic Functions4 .1 Exponential Functions4 .2 Logarithmic Functions4 .3 Differentiation of Logarithmic and Exponential Functions4 .4 Additional Exponential Models . Chapter Summary . Important Terms, Symbols, and Formulas . Checkup for Chapter 4 . Review

Problems . Explore! Update . Think About It .5 Integration5 .1 Antidifferentiation: The Indefinite Integral5 .2 Integration by Substitution5 .3 The Definite Integral and the Fundamental Theorem of Calculus .5 .4 Applying Definite Integration: Area Between Curves and Average Value5 .5 Additional Applications to Business and Economics5 .6 Additional Applications to the Life and Social Sciences . Chapter Summary . Important Terms, Symbols, and Formulas . Checkup for Chapter 5 Review Problems . Explore! Update . Think About It .6 Additional Topics in Integration6 .1 Integration by Parts; Integral Tables6 .2 Improper Integrals6 .3 Numerical Integration . Chapter Summary . Important Terms, Symbols, and Formulas . Checkup for Chapter 6 . Review Problems . Explore! Update . Think About It .7 Calculus of Several Variables7 .1 Functions of Several Variables7 .2 Partial Derivatives7 .3 Optimizing Functions of Two Variables7 .4 The Method of Least-Squares7 .5 Constrained Optimization: The Method of Lagrange Multipliers7 .6 Double Integrals . Chapter Summary . Important Terms, Symbols, and Formulas . Checkup for Chapter 7 . Review Problems . Explore! Update . Think About It .8 Differential Equations8 .1 Introduction to Differential Equations8 .2 First-Order Linear Differential Equations8 .3 Additional Applications of Differential Equations8 .4 Approximate Solutions of Differential Equations8 .5 Difference Equations . Chapter Summary . Important Terms, Symbols, and Formulas . Checkup for Chapter 8 . Review Problems . Explore! Update . Think About It .9 Infinite Series and Taylor Series Approximations9 .1 Infinite Series9 .2 Tests for Convergence9 .3 Functions as Power Series; Taylor Series . Chapter Summary . Important Terms, Symbols, and Formulas . Checkup for Chapter 9 . Review Problems . Explore! Update . Think About It .10 Probability and Calculus.10 .1 Discrete Random Variables10 .2 Continuous Random Variables10 .3 Expected Value and Variance of Continuous Random Variables10 .4 Normal and Poisson Probability Distributions . Chapter Summary . Important Terms, Symbols, and Formulas . Checkup for Chapter 10 . Review Problems . Explore! Update . Think About It .11 Trigonometric Functions11 .1 The Trigonometric Functions11 .2 Differentiation and Integration of Trigonometric Functions11 .3 Additional Applications Involving Trigonometric Functions . Chapter Summary . Important Terms, Symbols, and Formulas . Checkup for Chapter 11 . Review Problems . Explore! Update . Think About It .Appendix A: Algebra ReviewA .1 A Brief Review of AlgebraA .2 Factoring Polynomials and Solving Systems of EquationsA .3 Evaluating Limits with L’Hôpital’s Rule . Appendix Summary . Important Terms, Symbols, and Formulas . Review Problems . Think About It .TablesI Powers of eII The Natural Logarithm (Base e)III Trigonometric Functions .Text SolutionsAnswers to Odd-Numbered Problems, Chapter Checkup Problems, and Chapter Review Problems .Index

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CALCULUS FOR BUSINESS, ECONOMICS, AND THE SOCIAL AND LIFE SCIENCES, BRIEF EDITION Ninth EditionBy Laurence D. Hoffmann, Salomon Smith Barney, and Gerald L. Bradley, Claremont Mckenna College2007 (December 2005) / Hardcover with access cardISBN-13: 978-0-07-322978-2 / MHID: 0-07-322978-4 (with MathZone) ISBN-13: 978-0-07-330927-9 / MHID: 0-07-330927-3 (MP)ISBN-13: 978-0-07-110821-8 / MHID: 0-07-110821-1 [IE with MathZone]ISBN-13: 978-0-07-110681-8 / MHID: 0-07-110681-2 [IE]

Browse http://www.mhhe.com/hoffmannCalculus for Business, Economics, and the Social and Life Sciences introduces calculus in real-world contexts and provides a sound, intuitive understanding of the basic concepts students need as they pursue careers in business, the life sciences, and the social sciences . The new Ninth Edition builds on the straightforward writing style, practical applications from a variety of disciplines, clear step-by-step problem solving techniques, and comprehensive exercise sets that have been hallmarks of Hoffmann/Bradley’s success through the years .

CoNteNtsPreface1 Functions, Graphs, and Limits.1 .1 Functions .1 .2 The Graph of a Function .1 .3 Linear Functions .1 .4 Functional Models .1 .5 Limits .1 .6 One-Sided Limits and Continuity .Chapter Summary . Important Terms, Symbols, and Formulas . Checkup for Chapter 1 . Review Problems . Explore! Update . Think About It .2 Differentiation: Basic Concepts.2 .1 The Derivative .2 .2 Techniques of Differentiation .2 .3 Product and Quotient Rules; Higher Order Derivatives .2 .4 The Chain Rule .2 .5 Marginal Analysis and Approximations Using Increments .2 .6 Implicit Differentiation and Related Rates .Chapter Summary . Important Terms, Symbols, and Formulas . Checkup for Chapter 2 . Review Problems . Explore! Update . Think About It .3 Additional Applications of the Derivative.3 .1 Increasing and Decreasing Functions; Relative Extrema .3 .2 Concavity and Points of Inflection .3 .3 Curve Sketching .3 .4 Optimization .3 .5 Additional Applied Optimization .Chapter Summary . Important Terms, Symbols, and Formulas . Checkup for Chapter 3 . Review Problems . Explore! Update . Think About It .4 Exponential and Logarithmic Functions.4 .1 Exponential Functions .4 .2 Logarithmic Functions .4 .3 Differentiation of Logarithmic and Exponential Functions .4 .4 Additional Exponential Models .Chapter Summary . Important Terms, Symbols, and Formulas . Checkup for Chapter 4 Review Problems . Explore! Update . Think About It .5 Integration5 .1 Antidifferentiation: The Indefinite Integral .5 .2 Integration by Substitution .

5 .3 The Definite Integral and the Fundamental Theorem of Calculus .5 .4 Applying Definite Integration: Area Between Curves and Average Value .5 .5 Additional Applications to Business and Economics .5 .6 Additional Applications to the Life and Social SciencesChapter Summary . Important Terms, Symbols, and Formulas . Checkup for Chapter 5 . Review Problems Explore! Update . Think About It .6 Additional Topics in Integration.6 .1 Integration by Parts; Integral Tables .6 .2 Introduction to Differential Equations .6 .3 Improper Integrals; Continuous Probability6 .4 Numerical Integration .Chapter Summary . Important Terms, Symbols, and Formulas . Checkup for Chapter 6 . Review Problems . Explore! Update Think About It .7 Calculus of Several Variables.7 .1 Functions of Several Variables .7 .2 Partial Derivatives .7 .3 Optimizing Functions of Two Variables7 .4 The Method of Least-Squares .7 .5 Constrained Optimization: The Method of Lagrange Multipliers7 .6 Double Integrals over Rectangular Regions .Chapter Summary . Important Terms, Symbols, and Formulas . Checkup for Chapter 7 Review Problems Explore! Update Think About It .Appendix A: Algebra Review.A .1 A Brief Review of Algebra .A .2 Factoring Polynomials and Solving Systems of EquationsA .3 Evaluating Limits with L’Hôpital’s Rule . Appendix Summary . Important Terms, Symbols, and Formulas . Review Problems . Think About It .TablesI Powers of eII The Natural Logarithm (Base e)Text SolutionsAnswers to Odd-Numbered Problems, Chapter Checkup Problems, and Chapter Review ProblemsIndex

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BUSINESS CALCULUS DEMYSTIFIEDBy Rhonda Huettenmueller2006 (December 2005) / 384 pagesISBN-13: 978-0-07-145157-4 / MHID: 0-07-145157-9A Professional PublicationThis bestselling author of math titles uses practical business and mathematical examples to help you relate to essential concepts in calculus .

CoNteNtsChapter 1: Algebra ReviewThe slope and equation of a lineFinding x-interceptsSolving equationsQuadratic functionsThe vertexThe maximum/minimum value of a quadratic functionIncreasing/decreasing intervalsSome important exponent propertiesChapter 2: Average rate of changeLimitsChapter 3: Definition of derivativeProperties of the derivativeInstantaneous rates of changeThe tangent lineThe Power RuleThe Product RuleThe Quotient RuleThe Chain RuleLayering different formulasChapter 5: ApplicationsOptimizing functionsMaximizing revenue and profit, minimizing cost, and other optimizing problemsChapter 6: The second derivativeConcavityAnother method for optimizing functionsChapter 7: Implicit differentiationChapter 8: Rational functionsLimits and asymptotesChapter 9: Using calculus to sketch graphsGraphs of polynomial functionsChapter 10: Exponents and Logarithm functionsUsing log properties to simplify differentiationChapter 11: IntegrationThe antiderivativeIntegration formulasThe area under the curveMore integration formulasIntegration techniquesChapter 12: Applications of the integral

Calculus and Analytic Geometry


CALCULUS: LATE TRANSCENDENTAL FUNCTIONSThird Edition

By Robert Smith, Millersville University and Roland Minton, Roanoke College

2008 (January 2007) ISBN-13: 978-0-07-331270-5 / MHID: 0-07-331270-3ISBN-13: 978-0-07-110199-8 / MHID: 0-07-110199-3 [IE]

Browse http://www.mhhe.com/smithmintonStudents who have used Smith/Minton’s Calculus say it was easier to read than any other math book they’ve used . That testimony underscores the success of the authors’ approach which combines the most reliable aspects of mainstream Calculus teaching with the best elements of reform, resulting in a motivating, challenging book . Smith/Minton wrote the book for the students who will use it, in a language that they understand, and with the expectation that their backgrounds may have some gaps . Smith/Minton provide exceptional, reality-based applications that appeal to students’ interests and demonstrate the elegance of math in the world around us . New features include:

Many new exercises and examples (for a total of 7,000 exercises �and 1000 examples throughout the book) provide a careful balance of routine, intermediate and challenging exercises

New exploratory exercises in every section that challenge �students to make connections to previous introduced material .

New commentaries (“Beyond Formulas”) that encourage �students to think mathematically beyond the procedures they learn .

New counterpoints to the historical notes, “Today in Mathematics,” �stress the contemporary dynamism of mathematical research and applications, connecting past contributions to the present .

An enhanced discussion of differential equations and additional �applications of vector calculus .

Exceptional Media Resources: Within MathZone, instructors and �students have access to a series of unique Conceptual Videos that help students understand key Calculus concepts proven to be most difficult to comprehend, 248 Interactive Applets that help students master concepts and procedures and functions, 1600 algorithms, and 113 e-Professors .

New to this editioN

Many new exercises that are written at the intermediate and �rigorous level in response to requests by users of the 2nd Edition .

A more standard organization . �

Every chapter was rewritten to be substantially more concise . �

New commentaries entitled “Beyond Formulas” . �


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New counterpoints to the historical notes, “Today in Mathematics,” �that stress the contemporary dynamism of mathematical research and applications, connecting past contributions to the present .

CoNteNtsChapter 0: Preliminaries0 .1 The Real Numbers and the Cartesian Plane0 .2 Lines and Functions0 .3 Graphing Calculators and Computer Algebra Systems0 .4 Trigonometric Functions0 .5 Transformations of FunctionsChapter 1: Limits and Continuity1 .1 A Brief Preview of Calculus: Tangent Lines and the Length of a Curve1 .2 The Concept of Limit1 .3 Computation of Limits1 .4 Continuity and its Consequences / The Method of Bisections1 .5 Limits Involving Infinity / Asysmptotes1 .6 The Formal Definition of the Limit1 .7 Limits and Loss-of-Significance Errors / Computer Representation or Real NumbersChaper 2: Differentiation2 .1 Tangent Lines and Velocity2 .2 The Derivative / Alternative Derivative Notations / Numerical Differentiation2 .3 Computation of Derivatives: The Power Rule / Higher Order Derivatives / Acceleration2 .4 The Product and Quotient Rules2 .5 The Chain Rule2 .6 Derivatives of the Trigonometric Functions2 .7 Implicit Differentiation2 .8 The Mean Value TheoremChapter 3: Applications of Differentiation3 .1 Linear Approximations and Newton’s Method3 .2 Maximum and Minimum Values3 .3 Increasing and Decreasing Functions3 .4 Concavity and the Second Derivative Test3 .5Overview of Curve Sketching3 .6Optimization3 .7 Related Rates3 .8 Rates of Change in Economics and the SciencesChapter 4: Integration4 .1 Antiderivatives4 .2 Sums and Sigma Notation / Principle of Mathematical Induction4 .3 Area under a Curve4 .4 The Definite Integral / Average Value of a Function4 .5 The Fundamental Theorem of Calculus4 .6 Integration by Substitution4 .7 Numerical Integration / Error bounds for Numerical IntegrationChapter 5: Applications of the Definite Integral5 .1 Area Between Curves5 .2 Volume: Slicing, Disks, and Washers5 .3 Volumes by Cylindrical Shells5 .4 Arc Length and Srface Area5 .5 Projectile Motion5 .6 Applications of Integration to Physics and EngineeringChapter 6: Exponentials, Logarithms and other Transcendental Functions6 .1 The Natural Logarithm6 .2 Inverse Functions6 .3 Exponentials6 .4 The Inverse Trigonometric Functions6 .5 The Calculus of the Inverse Trigonometric Functions6 .6 The Hyperbolic FunctionChapter 7: First-Order Differential Equations7 .1 Modeling with Differential Equations / Growth and Decay Problems / Compound Interest7 .2 Separable Differential Equations / Logistic Growth7 .3 Direction Fields and Euler’s Method7 .4 Systems of First-Order Differential Equations / Predator-Prey Systems

7 .6 Indeterminate Forms and L’Hopital’s Rule / Improper Integrals / A Comparison Test7 .8 Probability /Chapter 8: First-Order Differential Equations8 .1 modeling with Differential Equations / Growth and Decay Problems / Compound Interest8 .2 Separable Differential Equations / Logistic Growth8 .3 Direction Fields and Euler’s Method / Systems of First Order EquationsChapter 9: Infinite Series9 .1 Sequences of Real Numbers9 .2 Infinite Series9 .3 The Integral Test and Comparison Tests9 .4 Alternating Series / Estimating the Sum of an Alternating Series9 .5 Absolute Convergence and the Ratio Test / The Root Test / Summary of Convergence Test9 .6 Power Series9 .7 Taylor Series / Representations of Functions as Series / Proof of Taylor’s Theorem9 .8 Applications of Taylor Series / The Binomial Series9 .9 Fourier SeriesChapter 10: Parametric Equations and Polar Coordinates10 .1 Plane Curves and Parametric Equations10 .2 Calculus and Parametric Equations10 .3 Arc Length and Surface Area in Parametric Equations10 .4 Polar Coordinates10 .5 Calculus and Polar Coordinates10 .6 Conic Sections10 .7 Conic Sections in Polar CoordinatesChapter 11: Vectors and the Geometry of Space11 .1 Vectors in the Plane11 .2 Vectors in Space11 .3 The Dot Product / Components and Projections11 .4 The Cross Product11 .5 Lines and Planes in Space11 .6 Surfaces in SpaceChapter 12: Vector-Valued Functions12 .1 Vector-Valued Functions12 .2 The Calculus Vector-Valued Functions12 .3 Motion in Space12 .4 Curvature12 .5 Tangent and Normal Vectors / Components of Acceleration, Kepler’s Laws12 .6 Parametric SurfacesChapter 13: Functions of Several Variables and Partial Differentiation13 .1 Functions of Several Variables13 .2 Limits and Continuity13 .3 Partial Derivatives13 .4 Tangent Planes and Linear Approximations / Increments and Differentials13 .5 The Chain Rule / Implicit Differentiation13 .6 The Gradient and Directional Derivatives13 .7 Extrema of Functions of Several Variables13 .8 Constrained Optimization and Lagrange MultipliersChapter 14: Multiple Integrals14 .1 Double Integrals14 .2 Area, Volume, and Center of Mass14 .3 Double Integrals in Polar Coordinates14 .4 Surface Area14 .5 Triple Integrals / Mass and Center of Mass14 .6 Cylindrical Coordinates14 .7 Spherical Coordinates14 .8 Change of Variables in Multiple IntegralsChapter 15: Vector Calculus15 .1 Vector Fields15 .2 Line Integrals15 .3 Independence of Path and Conservative Vector Fields15 .4 Green’s Theorem15 .5 Curl and Divergence15 .6 Surface Integrals

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15 .7 The Divergence Theorem15 .8 Stokes’ Theorem15 .9 Applications of Vector CalculusChapter 16: Second-Order Differential Equations16 .1 Second-Order Equations with Constant Coefficients16 .2 Nonhomogeneous Equations: Undetermined Coefficients16 .3 Applications of Second-Order Differential Equations16 .4 Power Series Solutions of Differential EquationsAppendix A: Proofs of Selected TheoremsAppendix B: Answers to Odd-Numbered Exercises


CALCULUS WITH MATHZONE: EARLY TRANSCENDENTAL FUNCTIONSThird EditionBy Robert T. Smith, Millersville University, and Roland B. Minton, Roanoke College2007 (February 2006) / Hardcover with access cardISBN-13: 978-0-07-330944-6 / MHID: 0-07-330944-3ISBN-13: 978-0-07-322973-7 / MHID: 0-07-322973-3 (with MathZone) ISBN-13: 978-0-07-110807-2 / MHID: 0-07-110807-6[IE with MathZone]ISBN-13: 978-0-07-110751-8 / MHID: 0-07-110751-7[IE without MathZone]

Browse http://www.mhhe.com/smithmintonStudents who have used Smith/Minton’s Calculus say it was easier to read than any other math book they’ve used . That testimony underscores the success of the authors’ approach, which combines the best elements of reform with the most reliable aspects of mainstream calculus teaching, resulting in a motivating, challenging book . Smith/Minton also provide exceptional, reality-based applications that appeal to students’ interests and demonstrate the elegance of math in the world around us .

CoNteNtsChapter 0: Preliminaries0 .1 Polynomials and Rational Functions0 .2 Graphing Calculators and Computer Algebra Systems0 .3 Inverse Functions0 .4 Trigonometric and Inverse Trigonometric Functions 0 .5 Exponential and Logarithmic Functions . Hyperbolic Functions . Fitting a Curve to Data0 .6 Transformations of Functions .Chapter 1: Limits and Continuity1 .1 A First Look at Calculus1 .2 The Concept of Limit1 .3 Computation of Limits1 .4 Continuity and its Consequences . The Method of Bisections .1 .5 Limits Involving Infinity . Asymptotes .1 .6 Formal Definition of the Limit . Exploring the Definition of Limit Graphically1 .7 Limits and Loss-of-Significance Errors . Computer Representation of Real Numbers .Chapter 2: Differentiation2 .1 Tangent Lines and Velocity2 .2 The Derivative Numerical Differentiation2 .3 Computation of Derivatives: The Power Rule . Higher Order Derivatives . Acceleration .2 .4 The Product and Quotient Rules2 .5 The Chain Rule2 .6 Derivatives of the Trigonometric Functions2 .7 Derivatives of the Exponential and Logarithmic Functions

2 .8 Implicit Differentiation and Inverse Trigonometric Functions2 .9 The Mean Value Theorem .Chapter 3: Applications of Differentiation3 .1 Linear Approximations and Newton’s Method3 .2 Indeterminate Forms and L’Hopital’s Rule3 .3 Maximum and Minimum Values3 .4 Increasing and Decreasing Functions3 .5 Concavity and the Second Derivative Test3 .6 Overview of Curve Sketching3 .7 Optimization3 .8 Related Rates3 .9 Rates of Change in Economics and the Sciences .Chapter 4: Integration4 .1 Antiderivatives4 .2 Sums and Sigma Notation . Principle of Mathematical Induction4 .3 Area4 .4 The Definite Integral . Average Value of a Function4 .5 The Fundamental Theorem of Calculus4 .6 Integration by Substitution4 .7 Numerical Integration . Error Bounds for Numerical Integration4 .8 The Natural Logarithm as an Integral . The Exponential Function as the Inverse of the Natural Logarithm .Chapter 5: Applications of the Definite Integral5 .1 Area Between Curves5 .2 Volume: Slicing, Disks, and Washers5 .3 Volumes by Cylindrical Shells5 .4 Arc Length and Surface Area5 .5 Projectile Motion5 .6 Applications of Integration to Economics and the Sciences5 .7 ProbabilityChapter 6: Integration Techniques6 .1 Review of Formulas and Techniques6 .2 Integration by Parts6 .3 Trigonometric Techniques of Integration . Integrals Involving Powers of Trigonometric Functions . Trigonometric Substitution .6 .4 Integration of Rational Functions Using Partial Fractions . General Strategies for Integration Techniques6 .5 Integration Tables and Computer Algebra Systems6 .6 Improper Integrals . A Comparison Test .Chapter 7: First Order Differential Equations7 .1 Growth and Decay Problems . Compound Interest . Modeling with Differential Equations .7 .2 Separable Differential Equations . Logistic Growth7 .3 Direction Fields and Euler’s Method7 .4 Systems of First Order Differential Equations . Predator-Prey SystemsChapter 8: Infinite Series8 .1 Sequences of Real Numbers8 .2 Infinite Series8 .3 The Integral Test and Comparison Tests8 .4 Alternating Series . Estimating the Sum of an Alternating Series8 .5 Absolute Convergence and the Ratio Test . The Root Test . Summary of Convergence Tests8 .6 Power Series8 .7 Taylor Series . Representations of Functions as Series . Proof of Taylor’s Theorem .8 .8 Applications of Taylor Series . The Binomial Series .8 .9 Fourier Series .Chapter 9: Parametric Equations and Polar Coordinates.9 .1 Plane Curves and Parametric Equations .9 .2 Calculus and Parametric Equations .9 .3 Arc Length and Surface Area in Parametric Equations .9 .4 Polar Coordinates .9 .5 Calculus and Polar Coordinates .9 .6 Conic Sections .9 .7 Conic Sections in Polar Coordinates .Chapter 10: Vectors and the Geometry of Space.10 .1 Vectors in the Plane .10 .2 Vectors in Space10 .3 The Dot Product . Components and Projections10 .4 The Cross Product

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10 .5 Lines and Planes in Space10 .6 Surfaces in Space .Chapter 11: Vector-Valued Functions11 .1 Vector-Valued Functions11 .2 The Calculus of Vector-Valued Functions11 .3 Motion in Space11 .4 Curvature11 .5 Tangent and Normal Vectors . Tangential and Normal Components of Acceleration . Kepler’s Laws11 .6 Parametric Surfaces .Chapter 12: Functions of Several Variables and Differentiation.12 .1 Functions of Several Variables12 .2 Limits and Continuity12 .3 Partial Derivatives12 .4 Tangent Planes and Linear Approximations . Increments and Differentials .12 .5 The Chain Rule12 .6 The Gradient and Directional Derivatives12 .7 Extrema of Functions of Several Variables12 .8 Constrained Optimization and Lagrange MultipliersChapter 13: Multiple Integrals13 .1 Double Integrals13 .2 Area, Volume, and Center of Mass13 .3 Double Integrals in Polar Coordinates13 .4 Surface Area13 .5 Triple Integrals . Mass and Center of Mass13 .6 Cylindrical Coordinates13 .7 Spherical Coordinates13 .8 Change of Variables in Multiple IntegralsChapter 14: Vector Calculus14 .1 Vector Fields14 .2 Line Integrals14 .3 Independence of Path and Conservative Vector Fields14 .4 Green’s Theorem14 .5 Curl and Divergence14 .6 Surface Integrals14 .7 The Divergence Theorem14 .8 Stokes’ Theorem14 .9 Applications of Vector Calculus . Chapter 15: Second Order Differential Equations 15 .1 Second-Order Equations with Constant Coefficients15 .2 Nonhomogeneous Equations: Undetermined Coefficients15 .3 Applications of Second Order Equations15 .4 Power Series Solutions of Differential Equations .Appendix A: Proofs of Selected TheoremsAppendix B: Answers to Odd-Numbered Exercises .


CALCULUS: CONCEPTS AND CONNECTIONSBy Robert T Smith, Millersville University and Roland B Minton, Roanoke College2006 / 1,312 pages ISBN-13: 978-0-07-330929-3 / MHID: 0-07-330929-XISBN-13: 978-0-07-301607-8 / MHID: 0-07-301607-1 (with MathZone)ISBN-13: 978-0-07-124902-7 / MHID: 0-07-124902-8 [IE without MathZone]ISBN-13: 978-0-07-111201-7 / MHID: 0-07-111201-4[IE with MathZone]

http://www.mhhe.com/smithmintonThis modern calculus textbook places a strong emphasis on developing students’ conceptual understanding and on building connections between key calculus topics and their relevance for the real world . It is written for the average student—one who is mostly unfamiliar with the subject and who requires significant motivation. It follows a relatively standard order of presentation, with early coverage of transcendentals, and integrates thought-provoking applications, examples and exercises throughout . The text also provides balanced guidance on the appropriate role of technology in problem-solving, including its benefits and its potential pitfalls. Wherever practical, concepts are developed from graphical, numerical, algebraic and verbal perspectives (the “Rule of Four”) to give students a complete understanding of calculus .

CoNteNtsChapter 0: Preliminaries:Polynomial and Rational Functions .Graphing Calculators and Computer Algebra Systems .Inverse Functions .Trigonometric and Inverse Trigonometric Functions .Exponential and Logarithmic Functions .Parametric Equations and Polar Coordinates .Chapter 1: Limits and Continuity:Preview of Calculus .The Concept of Limit .Computation of Limits .Continuity and its Consequences .Method of Bisections .Limits Involving Infinity .Limits and Loss-of-Significance Errors .Chapter 2: Differentiation:Tangent Lines and Velocity .The Derivative . Computation of Derivatives: The Power Rule .The Product and Quotient Rules .The Chain Rule .Derivatives of Trigonometric and Inverse Trigonometric Functions .Derivatives of Exponential and Logarithmic Functions .Implicit Differentiation and Related Rates .The Mean Value Theorem .Chapter 3: Applications of Differentiation:Linear Approximations and Newton’s Method .Indeterminate Forms and L’Hopital’s Rule .Maximum and Minimum Values .Increasing and Decreasing Functions .Concavity and Overview of Curve Sketching .Optimization .Rates of Change in Applications .Chapter 4: Integration:Area under a Curve .The Definite Integral .Average Value of a Function . Antiderivatives .The Fundamental Theorem of Calculus .






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Integration by Substitution .Trigonometric Techniques of Integration .Integration by Parts .Other Techniques of Integration .Integration Tables and Computer Algebra Systems .Numerical Integration .Improper Integrals .Comparison Test .Chapter 5: Applications of the Definite Integral:Area Between Curves .Volume .Slicing, Disks and Washers .Arc Length and Surface Area .Projectile Motion .Work, Moments, and Hydrostatic Force .Probability .Chapter 6: Differential Equations:Growth and Decay Problems .Separable Differential Equations .Euler’s Method .Second Order Equations with Constant Coefficients .Nonhomogeneous Equations: Undetermined Coefficients .Applications of Differential Equations .Chapter 7: Infinite Series:Sequences of Real Numbers .Infinite Series . The Integral Test and Comparison Tests .Alternating Series . Absolute Convergence and the Ratio Test .Power Series . Taylor Series .Taylor’s Theorem .Applications of Taylor Series .Fourier Series .Power Series Solutions of Differential Equations .Chapter 8: Vectors and the Geometry of Space:Vectors in the Plane .Vectors in Space .The Dot Product .Components and Projections .The Cross Product .Lines and Planes in Space .Surfaces in Space .Chapter 9: Vector-Valued Functions:Vector-Valued Functions .Parametric Surfaces .The Calculus of Vector-Valued Functions .Motion in Space .Curvature .Tangent and Normal Vectors .Components of Acceleration, Kepler’s Laws .Chapter 10: Functions of Several Variables and Differentiation:Functions of Several Variables .Limits and Continuity .Partial Derivatives .Tangent Planes and Linear Approximations .The Chain Rule .Implicit Differentiation .The Gradient and Directional Derivatives .Extrema of Functions of Several Variables .Constrained Optimization and Lagrange Multipliers .Chapter 11: Multiple Integrals:Double Integrals .Area, Volume and Center of Mass .Double Integrals in Polar Coordinates .Surface Area .Triple Integrals .Cylindrical Coordinates .Spherical Coordinates .Change of Variables in Multiple Integrals .

Chapter 12: Vector Calculus:Vector Fields .Curl and Divergence .Line Integrals .Independence of Path and Conservative Vector Fields .Green’s Theorem .Surface Integrals .Parametric Representation of Surfaces .The Divergence Theorem .Stokes’ Theorem .Applications of Vector Calculus .Appendices:A .1 Formal Definition of Limit .A .2 Complete Derivation of Derivatives of sin x and cos x .A .3 Natural Logarithm Defined as an Integral; Exponential Defined as the Inverse of the Natural Logarithm .A .4 Hyperbolic Functions .A .5 Conic Sections in Polar Coordinates .A .6 Proofs of Selected Theorems .

FIVE STEPS TO A 5 AP CALCULUS AB-BCSecond EditionBy William Ma2007 (December 2006) / 360 pagesISBN-13: 978-0-07-147629-4 / MHID: 0-07-147629-6A Professional ReferenceThe AP AB/BC calculus exams have the largest enrollment of any AP exam . This new edition of the AB/BC guide has been expanded to cover both the AB and BC calculus tests and includes key updates on all the material covered in the latest revision of the exams .

CoNteNtsPREFACE ACKNOWLEDGMENTSPart I: How to Use This Book Part II: What You Need to Know About the AP Calculus Exams Part III: Comprehensive Review Chapter 1: Limits and Continuity Chapter 2: Differentiation Chapter 3: Graphs of Functions and Derivatives Chapter 4: Applications of Derivatives Chapter 5: More Applications of Derivatives Chapter 6: Integration Chapter 7: Definite Integrals Chapter 8: Areas and Volumes Chapter 9: More Applications of Definite Integrals Chapter 10: SeriesPart IV: Practice Makes Perfect APPENDIX I: FORMULAS AND THEOREMS APPENDIX II: BIBLIOGRAPHY APPENDIX III: WEBSITES

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SCHAUM’S OUTLINE OF ADVANCED CALCULUSSecond EditionBy Robert C Wrede, and Murray R Spiegel (Deceased)2002 / 356 pages ISBN-13: 978-0-07-137567-2 / MHID: 0-07-137567-8A Schaum’s PublicationCoNteNtsNumbers .Basic Point-Set Topology .Functions, Limits, and Continuity .Special Functions (Log, Exp, Circular Trig, Hyperbolics) .Sequences .Derivative .Integrals .Partial Derivatives .Vectors .Applications .Differential Geometry (Curvature, Torsion,) .Multiple Integrals .Line/Surface Integrals .Change of Variable .Infinite Sequences .Infinite Series .Improper Integrals .Gamma and Beta Functions .Fourier Series .Fourier Integrals .Laplace Transforms .Function of Complex Variables

Single Variable Calculus


CALCULUS, SINGLE VARIABLE: LATE TRANSCENDENTAL FUNCTIONSThird Edition

By Robert Smith, Millersville University and Roland Minton, Roanoke College

2008 (January 2007) ISBN-13: 978-0-07-331419-8 / MHID: 0-07-331419-6ISBN-13: 978-0-07-110198-1 / MHID: 0-07-110198-5 [IE]

Browse http://www.mhhe.com/smithmintonStudents who have used Smith/Minton’s Calculus say it was easier to read than any other math book they’ve used . That testimony underscores the success of the authors’ approach which combines the most reliable aspects of mainstream Calculus teaching with the best elements of reform, resulting in a motivating, challenging book . Smith/Minton wrote the book for the students who will use it, in a language that they understand, and with the expectation that their backgrounds may have some gaps . Smith/Minton provide exceptional, reality-based applications that appeal to students’ interests and demonstrate the elegance of math in the world around us. New features include: • Many new exercises and examples (for a total of 7,000 exercises and 1000 examples throughout the book) provide a careful balance of routine, intermediate and challenging exercises • New exploratory exercises in every section that challenge students to make connections to previous introduced material. • New commentaries (“Beyond Formulas”) that encourage students to think mathematically beyond the procedures they learn. • New counterpoints to the historical notes, “Today in Mathematics,” stress the contemporary dynamism of mathematical research and applications, connecting past contributions to the present. • An enhanced discussion of differential equations and additional applications of vector calculus. • Exceptional Media Resources: Within MathZone, instructors and students have access to a series of unique Conceptual Videos that help students understand key Calculus concepts proven to be most difficult to comprehend, 248 Interactive Applets that help students master concepts and procedures and functions, 1600 algorithms , and 113 e-Professors .

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CoNteNtsChapter 0: Preliminaries0 .1 The Real Numbers and the Cartesian Plane0 .2 Lines and Functions0 .3 Graphing Calculators and Computer Algebra Systems0 .4 Trigonometric Functions0 .5 Transformations of FunctionsChapter 1: Limits and Continuity1 .1 A Brief Preview of Calculus: Tangent Lines and the Length of a Curve1 .2 The Concept of Limit1 .3 Computation of Limits1 .4 Continuity and its Consequences / The Method of Bisections1 .5 Limits Involving Infinity / Asysmptotes1 .6 The Formal Definition of the Limit1 .7 Limits and Loss-of-Significance Errors / Computer Representation or Real NumbersChaper 2: Differentiation2 .1 Tangent Lines and Velocity2 .2 The Derivative / Alternative Derivative Notations / Numerical Differentiation2 .3 Computation of Derivatives: The Power Rule / Higher Order Derivatives / Acceleration2 .4 The Product and Quotient Rules2 .5 The Chain Rule2 .6 Derivatives of the Trigonometric Functions2 .7 Implicit Differentiation2 .8 The Mean Value TheoremChapter 3: Applications of Differentiation3 .1 Linear Approximations and Newton’s Method3 .2 Maximum and Minimum Values3 .3 Increasing and Decreasing Functions3 .4 Concavity and the Second Derivative Test3 .5Overview of Curve Sketching3 .6Optimization3 .7 Related Rates3 .8 Rates of Change in Economics and the SciencesChapter 4: Integration4 .1 Antiderivatives4 .2 Sums and Sigma Notation / Principle of Mathematical Induction4 .3 Area under a Curve4 .4 The Definite Integral / Average Value of a Function4 .5 The Fundamental Theorem of Calculus4 .6 Integration by Substitution4 .7 Numerical Integration / Error bounds for Numerical IntegrationChapter 5: Applications of the Definite Integral5 .1 Area Between Curves5 .2 Volume: Slicing, Disks, and Washers5 .3 Volumes by Cylindrical Shells5 .4 Arc Length and Srface Area5 .5 Projectile Motion5 .6 Applications of Integration to Physics and EngineeringChapter 6: Exponentials, Logarithms and other Transcendental Functions6 .1 The Natural Logarithm6 .2 Inverse Functions6 .3 Exponentials6 .4 The Inverse Trigonometric Functions6 .5 The Calculus of the Inverse Trigonometric Functions6 .6 The Hyperbolic FunctionChapter 7: First-Order Differential Equations7 .1 Modeling with Differential Equations / Growth and Decay Problems / Compound Interest7 .2 Separable Differential Equations / Logistic Growth7 .3 Direction Fields and Euler’s Method7 .4 Systems of First-Order Differential Equations / Predator-Prey Systems7 .6 Indeterminate Forms and L’Hopital’s Rule / Improper Integrals / A Comparison Test7 .8 Probability

Chapter 8: First-Order Differential Equations8 .1 modeling with Differential Equations / Growth and Decay Problems / Compound Interest8 .2 Separable Differential Equations / Logistic Growth8 .3 Direction Fields and Euler’s Method / Systems of First Order EquationsChapter 9: Infinite Series9 .1 Sequences of Real Numbers9 .2 Infinite Series9 .3 The Integral Test and Comparison Tests9 .4 Alternating Series / Estimating the Sum of an Alternating Series9 .5 Absolute Convergence and the Ratio Test / The Root Test / Summary of Convergence Test9 .6 Power Series9 .7 Taylor Series / Representations of Functions as Series / Proof of Taylor’s Theorem9 .8 Applications of Taylor Series / The Binomial Series9 .9 Fourier SeriesChapter 10: Parametric Equations and Polar Coordinates10 .1 Plane Curves and Parametric Equations10 .2 Calculus and Parametric Equations10 .3 Arc Length and Surface Area in Parametric Equations10 .4 Polar Coordinates10 .5 Calculus and Polar Coordinates10 .6 Conic Sections10 .7 Conic Sections in Polar CoordinatesChapter 11: Vectors and the Geometry of Space11 .1 Vectors in the Plane11 .2 Vectors in Space11 .3 The Dot Product / Components and Projections11 .4 The Cross Product11 .5 Lines and Planes in Space11 .6 Surfaces in SpaceChapter 12: Vector-Valued Functions12 .1 Vector-Valued Functions12 .2 The Calculus Vector-Valued Functions12 .3 Motion in Space12 .4 Curvature12 .5 Tangent and Normal Vectors / Components of Acceleration, Kepler’s Laws12 .6 Parametric SurfacesChapter 13: Functions of Several Variables and Partial Differentiation13 .1 Functions of Several Variables13 .2 Limits and Continuity13 .3 Partial Derivatives13 .4 Tangent Planes and Linear Approximations / Increments and Differentials13 .5 The Chain Rule / Implicit Differentiation13 .6 The Gradient and Directional Derivatives13 .7 Extrema of Functions of Several Variables13 .8 Constrained Optimization and Lagrange MultipliersChapter 14: Multiple Integrals14 .1 Double Integrals14 .2 Area, Volume, and Center of Mass14 .3 Double Integrals in Polar Coordinates14 .4 Surface Area14 .5 Triple Integrals / Mass and Center of Mass14 .6 Cylindrical Coordinates14 .7 Spherical Coordinates14 .8 Change of Variables in Multiple IntegralsChapter 15: Vector Calculus15 .1 Vector Fields15 .2 Line Integrals15 .3 Independence of Path and Conservative Vector Fields15 .4 Green’s Theorem15 .5 Curl and Divergence15 .6 Surface Integrals15 .7 The Divergence Theorem15 .8 Stokes’ Theorem15 .9 Applications of Vector Calculus

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Chapter 16: Second-Order Differential Equations16 .1 Second-Order Equations with Constant Coefficients16 .2 Nonhomogeneous Equations: Undetermined Coefficients16 .3 Applications of Second-Order Differential Equations16 .4 Power Series Solutions of Differential EquationsAppendix A: Proofs of Selected TheoremsAppendix B: Answers to Odd-Numbered Exercises


CALCULUS: SINGLE VARIABLE: EARLY TRANSCENDENTAL FUNCTIONSThird EditionBy Robert T. Smith, Millersville University, and Roland B. Minton, Roanoke College2007 (December 2005) / Hardcover with access cardISBN-13: 978-0-07-330943-9 / MHID: 0-07-330943-5ISBN-13: 978-0-07-321531-0 / MHID: 0-07-321531-7 (with MathZone) ISBN-13: 978-0-07-110786-0 / MHID: 0-07-110786-X [IE with MathZone]

Browse http://www.mhhe.com/smithmintonStudents who have used Smith/Minton’s Calculus say it was easier to read than any other math book they’ve used . That testimony underscores the success of the authors’ approach, which combines the best elements of reform with the most reliable aspects of mainstream calculus teaching, resulting in a motivating, challenging book . Smith/Minton also provide exceptional, reality-based applications that appeal to students’ interests and demonstrate the elegance of math in the world around us. New features include: • A new organization placing all transcendental functions early in the book and consolidating the introduction to L’Hôpital’s Rule in a single section. • More concisely written explanations in every chapter. • Many new exercises (for a total of 7,000 throughout the book) that require additional rigor not found in the 2nd Edition. • New exploratory exercises in every section that challenge students to synthesize key concepts to solve intriguing projects. • New commentaries (“Beyond Formulas”) that encourage students to think mathematically beyond the procedures they learn . • New counterpoints to the historical notes, “Today in Mathematics,” that stress the contemporary dynamism of mathematical research and applications, connecting past contributions to the present. • An enhanced discussion of differential equations and additional applications of vector calculus .

CoNteNtsChapter 0: Preliminaries0 .1 Polynomials and Rational Functions0 .2 Graphing Calculators and Computer Algebra Systems0 .3 Inverse Functions0 .4 Trigonometric and Inverse Trigonometric Functions0 .5 Exponential and Logarithmic Functions . Hyperbolic Functions . Fitting a Curve to Data 0 .6 Transformations of FunctionsChapter 1: Limits and Continuity1 .1 A First Look at Calculus1 .2 The Concept of Limit1 .3 Computation of Limits1 .4 Continuity and its Consequences . The Method of Bisections1 .5 Limits Involving Infinity . Asymptotes .1 .6 Formal Definition of the Limit . Exploring the Definition of Limit Graphically1 .7 Limits and Loss-of-Significance Errors . Computer Representation of Real Numbers .Chapter 2: Differentiation2 .1 Tangent Lines and Velocity2 .2 The Derivative . Numerical Differentiation

2 .3 Computation of Derivatives: The Power Rule . Higher Order Derivatives . Acceleration .2 .4 The Product and Quotient Rules2 .5 The Chain Rule2 .6 Derivatives of the Trigonometric Functions2 .7 Derivatives of the Exponential and Logarithmic Functions2 .8 Implicit Differentiation and Inverse Trigonometric Functions2 .9 The Mean Value TheoremChapter 3: Applications of Differentiation.3 .1 Linear Approximations and Newton’s Method 3 .2 Indeterminate Forms and L’Hopital’s Rule 3 .3 Maximum and Minimum Values 3 .4 Increasing and Decreasing Functions 3 .5 Concavity and the Second Derivative Test 3 .6 Overview of Curve Sketching 3 .7 Optimization 3 .8 Related Rates 3 .9 Rates of Change in Economics and the Sciences Chapter 4: Integration 4 .1 Antiderivatives 4 .2 Sums and Sigma Notation . Principle of Mathematical Induction4 .3 Area 4 .4 The Definite Integral . Average Value of a Function4 .5 The Fundamental Theorem of Calculus4 .6 Integration by Substitution4 .7 Numerical Integration . Error Bounds for Numerical Integration4 .8 The Natural Logarithm as an Integral . The Exponential Function as the Inverse of the Natural Logarithm .Chapter 5: Applications of the Definite Integral5 .1 Area Between Curves 5 .2 Volume: Slicing, Disks, and Washers5 .3 Volumes by Cylindrical Shells5 .4 Arc Length and Surface Area 5 .5 Projectile Motion5 .6 Applications of Integration to Economics and the Sciences5 .7 Probability .Chapter 6: Integration Techniques6 .1 Review of Formulas and Techniques6 .2 Integration by Parts6 .3 Trigonometric Techniques of Integration . Integrals Involving Powers of Trigonometric Functions . Trigonometric Substitution6 .4 Integration of Rational Functions Using Partial Fractions . General Strategies for Integration Techniques6 .5 Integration Tables and Computer Algebra Systems6 .6 Improper Integrals . A Comparison Test . Chapter 7: First Order Differential Equations7 .1 Growth and Decay Problems . Compound Interest . Modeling with Differential Equations .7 .2 Separable Differential Equations . Logistic Growth . 7 .3 Direction Fields and Euler’s Method 7 .4 Systems of First Order Differential Equations . Predator-Prey Systems .Chapter 8: Infinite Series8 .1 Sequences of Real Numbers8 .2 Infinite Series8 .3 The Integral Test and Comparison Tests8 .4 Alternating Series . Estimating the Sum of an Alternating Series8 .5 Absolute Convergence and the Ratio Test . The Root Test . Summary of Convergence Tests8 .6 Power Series8 .7 Taylor Series . Representations of Functions as Series . Proof of Taylor’s Theorem8 .8 Applications of Taylor Series . The Binomial Series8 .9 Fourier SeriesChapter 9: Parametric Equations and Polar Coordinates9 .1 Plane Curves and Parametric Equations9 .2 Calculus and Parametric Equations9 .3 Arc Length and Surface Area in Parametric Equations9 .4 Polar Coordinates9 .5 Calculus and Polar Coordinates9 .6 Conic Sections9 .7 Conic Sections in Polar Coordinates

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Chapter 10: Vectors and the Geometry of Space10 .1 Vectors in the Plane10 .2 Vectors in Space10 .3 The Dot Product . Components and Projections10 .4 The Cross Product10 .5 Lines and Planes in Space10 .6 Surfaces in Space .Chapter 11: Vector-Valued Functions11 .1 Vector-Valued Functions11 .2 The Calculus of Vector-Valued Functions11 .3 Motion in Space11 .4 Curvature11 .5 Tangent and Normal Vectors . Tangential and Normal . Components of Acceleration . Kepler’s Laws .11 .6 Parametric Surfaces .Chapter 12: Functions of Several Variables and Differentiation.12 .1 Functions of Several Variables12 .2 Limits and Continuity .12 .3 Partial Derivatives12 .4 Tangent Planes and Linear Approximations . Increments and Differentials .12 .5 The Chain Rule12 .6 The Gradient and Directional Derivatives12 .7 Extrema of Functions of Several Variables12 .8 Constrained Optimization and Lagrange Multipliers .Chapter 13: Multiple Integrals 13 .1 Double Integrals13 .2 Area, Volume, and Center of Mass13 .3 Double Integrals in Polar Coordinates13 .4 Surface Area13 .5 Triple Integrals . Mass and Center of Mass .13 .6 Cylindrical Coordinates13 .7 Spherical Coordinates13 .8 Change of Variables in Multiple IntegralsChapter 14: Vector Calculus 14 .1 Vector Fields14 .2 Line Integrals14 .3 Independence of Path and Conservative Vector Fields 14 .4 Green’s Theorem14 .5 Curl and Divergence14 .6 Surface Integrals14 .7 The Divergence Theorem14 .8 Stokes’ Theorem14 .9 Applications of Vector CalculusChapter 15: Second Order Differential Equations15 .1 Second-Order Equations with Constant Coefficients15 .2 Non-homogeneous Equations: Undetermined Coefficients15 .3 Applications of Second Order Equations15 .4 Power Series Solutions of Differential EquationsAppendix A: Proofs of Selected TheoremsAppendix B: Answers to Odd-Numbered Exercises .

SCHAUM’S OUTLINE OF CALCULUSFifth EditionBy Frank Ayres (deceased) and Elliott Mendelson, Queens College2009 (July 2008) / 572 pagesISBN-13: 978-0-07-150861-2 / MHID: 0-07-150861-9A Schaum’s PublicationA classic Schaum’s bestseller, thoroughly updated to meet the emphasis in current courses . The ideal review for the hundreds of thousands of colleges and high school students who enroll in calculus courses .

CoNteNts1 . Linear Coordinate Systems . Absolute Value . Inequalities . 2 . Rectangular Coordinate Systems 3 . Lines 4 . Circles 5 . Equations and their Graphs 6 . Functions 7 . Limits 8 . Continuity 9 . The Derivative 10 . Rules for Differentiating Functions 11 . Implicit Differentiation 12 . Tangent and Normal Lines 13 . Law of the Mean . Increasing and Decreasing Functions 14 . Maximum and Minimum Values 15 . Curve Sketching . Concavity . Symmetry . 16 . Review of Trigonometry 17 . Differentiation of Trigonometric Functions 18 . Inverse Trigonometric Functions 19 . Rectilinear and Circular Motion 20 . Related Rates 21 . Differentials . Newton’s Method 22 . Antiderivatives 23 . The Definite Integral . Area under a Curve 24 . The Fundamental Theorem of Calculus 25 . The Natural Logarithm 26 . Exponential and Logarithmic Functions 27 . L’Hopital’s Rule 28 . Exponential Growth and Decay 29 . Applications of Integration I: Area and Arc Length 30 . Applications of Integration II: Volume 31 . Techniques of Integration I: Integration by Parts 32 . Techniques of Integration II: Trigonometric Integrands and Trigonometric Substitutions 33 . Techniques of Integration III: Integration by Partial Fractions 34 . Miscellaneous Substitutions 35 . Improper Integrals 36 . Applications of Integration II: Area of a Surface of Revolution 37 . Parametric Representation of Curves 38 . Curvature

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SCHAUM’S OUTLINE OF BEGINNING CALCULSThird EditionBy Elliott Mendelson, Queens College2008 (August 2007) / 400 pagesISBN-13: 978-0-07-148754-2 / MHID: 0-07-148754-9A Schaum’s PublicationThe guides that help students study faster, learn better- and get top grades .

This review of beginning calculus is updated to reflect the latest course scope and sequences, with expanded explanations of particularly difficult topics.

CoNteNtsChapter 1: Coordinate Systems on a LineChapter 2: Coordinate Systems in a PlaneChapter 3: Graphs of EquationsChapter 4: Straight LinesChapter 5: Intersections of GraphsChapter 6: SymmetryChapter 7: Functions and Their GraphsChapter 8: LimitsChapter 9: Special LimitsChapter 10: ContinuityChapter 11: The Slope of a Tangent LineChapter 12: The DerivativeChapter 13: More on the DerivativeChapter 14: Maximum and Minimum ProblemsChapter 15: The Chain RuleChapter 16: Implicit DifferentiationChapter 17: The Mean-Value Theorem and the Sign of the DerivativeChapter 18: Rectilinear Motion and Instantaneous VelocityChapter 19: Instantaneous Rate of ChangeChapter 20: Related RatesChapter 21: Approximation by Differentials; Newton’s MethodChapter 22: Higher-Order DerivativesChapter 23: Applications of the Second Derivative and Graph SketchingChapter 24: More Maximum and Minimum ProblemsChapter 25: Angle MeasureChapter 26: Sine and Cosine FunctionsChapter 27: Graphs and Derivatives of Sine and Cosine FunctionsChapter 28: The Tangent and Other Trigonometric FunctionsChapter 29: AntiderivativesChapter 30: The Definite IntegralChapter 31: The Fundamental Theorem of CalculusChapter 32: Applications of Integration I: Area and Arc LengthChapter 33: Applications of Integration II: VolumeChapter 34: The Natural LogarithmChapter 35: Exponential FunctionsChapter 36: L’Hopital’s Rule; Exponential Growth and DecayChapter 37: Inverse Trigonometric FunctionsChapter 38: Integration by PartsChapter 39: Trigonometric Integrands and Trigonometric SubstitutionsChapter 40: Integration of Rational Functions; The Method of Partial FractionsAppendix A: Trigonometric FormulasAppendix B: Basic Integration FormulasAppendix C: Geometric FormulasAppendix D: Trigonometric FunctionsAppendix E: Natural LogarithmsAppendix F: Exponential FunctionsAnswers to Supplementary ProblemsIndex

CALCULUS DEMYSTIFIEDBy Steven G Krantz, Washington University - St. Louis2003 / 343 pages ISBN-13: 978-0-07-139308-9 / MHID: 0-07-139308-0A Professional PublicationCoNteNtsPreface .Chapter 1: Basics .Chapter 2: Foundations of Calculus .Chapter 3: Applications of the Derivative .Chapter 4: The Integral .Chapter 5: Indeterminate Forms .Chapter 6: Transcendental Functions .Chapter 7: Methods of Integration .Chapter 8: Applications of the Integral .Bibliography .Solutions to Exercises .Final Exam . Index


HOW TO SOLVE WORD PROBLEMS IN CALCULUSBy Eugene Don and Benay Don 2001 / 226 pagesISBN-13: 978-0-07-135897-2 / MHID: 0-07-135897-8ISBN-13: 978-0-07-120383-8 / MHID: 0-07-120383-4 [IE]A Professional Publication

(International Edition is not for sale in Japan)

Considered to be the hardest mathematical problems to solve, word problems continue to terrify students across all math disciplines . This new title in the World Problems series demystifies these difficult problems once and for all by showing even the most math-phobic readers simple, step-by-step tips and techniques . How to Solve World Problems in Calculus reviews important concepts in calculus and provides solved problems and step-by-step solutions . Once students have mastered the basic approaches to solving calculus word problems, they will confidently apply these new mathematical principles to even the most challenging advanced problems . Each chapter features an introduction to a problem type, definitions, related theorems, and formulas . Topics range from vital pre-calculus review to traditional calculus first-course content. Sample problems with solutions and a 50-problem chapter are ideal for self-testing . Fully explained examples with step-by-step solutions .






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SCHAUM’S EASY OUTLINES: CALCULUSBy Frank Ayres (deceased) and Elliott Mendelson, Queens College2000 / 135 pages ISBN-13: 978-0-07-052710-2 / MHID: 0-07-052710-5A Schaum Publication

http://books.mcgraw-hill.com/cgi-bin/getbook.pl?isbn=0070527105&ad key=W02003CoNteNtsChapter 1: Functions, Sequences, Limits, and Continuity .Chapter 2: Differentiation .Chapter 3: Maxima and Minima .Chapter 4: Differentiation of Special Functions .Chapter 5: The Law of the Mean, Indeterminate Forms, Differentials, and Curve Sketching .Chapter 6: Fundamental Integration Techniques and Applications .Chapter 7: The Definite Integral, Plane Areas by Integration, Improper Integrals .Appendix A: Differentiation Formulas for Common Mathematical Functions .Appendix B: Integration Formulas for Common Mathematical Functions . Index .

SCHAUM’S OUTLINE OF MATHEMATICABy Eugene Don 2000 / 360 pagesISBN-13: 978-0-07-135719- 7 / MHID: 0-07-135719-XA Schaum’s PublicationCoNteNtsGetting Acquainted .Basic Concepts .Lists .Two-Dimensional Graphics .Three-Dimensional Graphics .Equations .Algebra and Trignometry .Differential Calculus .Integral Calculus .Multivariate Calculus .Ordinary Differential Equations .Linear Algebra .

SCHAUM’S OUTLINE OF UNDERSTANDING CALCULUS CONCEPTSBy Eli Passow, Temple University1996 / 224 pagesISBN-13: 978-0-07-048738-3 / MHID: 0-07-048738-3A Schaum’s PublicationCoNteNtsWhat It’s All About .The Derivative .Applications of the Derivative .The Integral .Applications of the Integral .Topics in Integration .Infinite Series .


SCHAUM’S OUTLINE OF DIFFERENTIAL AND INTEGRAL CALCULUS, SI METRICThird EditionBy Frank Ayres, Jr, Dickinson College1992ISBN-13: 978-0-07-112531-4 / MHID: 0-07-112531-0 [IE]A Schaum’s Publication



SCHAUM’S 3,000 SOLVED PROBLEMS IN CALCULUSBy Elliott Mendelson, Queens College1988 / 442 pages ISBN-13: 978-0-07-041523-2 / MHID: 0-07-041523-4ISBN-13: 978-0-07-099148-4 / MHID: 0-07-099148-0 [IE]A Schaum’s Publication


This powerful problem-solver gives you 3,000 problems in calculus, fully solved step-by-step! From Schaum’s, the originator of the solved-problem guide, and students’ favorite with over 30 million study guides sold this timesaver helps you master every type of calculus problem that you will face in your homework and on your tests, from inequalities to differential equations . Work the problems yourself, then check the answers, or go directly to the answers you need with a complete index . Compatible with any classroom text, Schaum’s 3000 Solved Problems in Calculus is so complete it’s the perfect tool for graduate or professional exam review!

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Multi-Variable Calculus

New

CALCULUS: MULTIVARIABLE: LATE TRANSCENDENTAL FUNCTIONSThird Edition

By Robert T. Smith, Millersville University, and Roland B. Minton, Roanoke College

2008 (January 2007) ISBN-13: 978-0-07-331420-4 / MHID: 0-07-331420-X

Browse http://www.mhhe.com/smithmintonStudents who have used Smith/Minton’s Calculus say it was easier to read than any other math book they’ve used . That testimony underscores the success of the authors’ approach which combines the most reliable aspects of mainstream Calculus teaching with the best elements of reform, resulting in a motivating, challenging book . Smith/Minton wrote the book for the students who will use it, in a language that they understand, and with the expectation that their backgrounds may have some gaps . Smith/Minton provide exceptional, reality-based applications that appeal to students’ interests and demonstrate the elegance of math in the world around us. New features include: • Many new exercises and examples (for a total of 7,000 exercises and 1000 examples throughout the book) provide a careful balance of routine, intermediate and challenging exercises • New exploratory exercises in every section that challenge students to make connections to previous introduced material. • New commentaries (“Beyond Formulas”) that encourage students to think mathematically beyond the procedures they learn. • New counterpoints to the historical notes, “Today in Mathematics,” stress the contemporary dynamism of mathematical research and applications, connecting past contributions to the present. • An enhanced discussion of differential equations and additional applications of vector calculus. • Exceptional Media Resources: Within MathZone, instructors and students have access to a series of unique Conceptual Videos that help students understand key Calculus concepts proven to be most difficult to comprehend, 248 Interactive Applets that help students master concepts and procedures and functions, 1600 algorithms , and 113 e-Professors .

New to this editioN


A more standard organization �





CoNteNtsChapter 0: Preliminaries0 .1 The Real Numbers and the Cartesian Plane0 .2 Lines and Functions0 .3 Graphing Calculators and Computer Algebra Systems0 .4 Trigonometric Functions

0 .5 Transformations of FunctionsChapter 1: Limits and Continuity1 .1 A Brief Preview of Calculus: Tangent Lines and the Length of a Curve1 .2 The Concept of Limit1 .3 Computation of Limits1 .4 Continuity and its Consequences / The Method of Bisections1 .5 Limits Involving Infinity / Asysmptotes1 .6 The Formal Definition of the Limit1 .7 Limits and Loss-of-Significance Errors / Computer Representation or Real NumbersChaper 2: Differentiation2 .1 Tangent Lines and Velocity2 .2 The Derivative / Alternative Derivative Notations / Numerical Differentiation2 .3 Computation of Derivatives: The Power Rule / Higher Order Derivatives / Acceleration2 .4 The Product and Quotient Rules2 .5 The Chain Rule2 .6 Derivatives of the Trigonometric Functions2 .7 Implicit Differentiation2 .8 The Mean Value TheoremChapter 3: Applications of Differentiation3 .1 Linear Approximations and Newton’s Method3 .2 Maximum and Minimum Values3 .3 Increasing and Decreasing Functions3 .4 Concavity and the Second Derivative Test3 .5 Overview of Curve Sketching 3 .6Optimization3 .8 Related Rates3 .8 Rates of Change in Economics and the SciencesChapter 4: Integration4 .1 Antiderivatives4 .2 Sums and Sigma Notation / Principle of Mathematical Induction4 .3 Area under a Curve4 .4 The Definite Integral / Average Value of a Function4 .5 The Fundamental Theorem of Calculus4 .6 Integration by Substitution4 .7 Numerical Integration / Error bounds for Numerical IntegrationChapter 5: Applications of the Definite Integral5 .1 Area Between Curves5 .2 Volume: Slicing, Disks, and Washers5 .3 Volumes by Cylindrical Shells5 .4 Arc Length and Srface Area5 .5 Projectile Motion5 .6 Applications of Integration to Physics and EngineeringChapter 6: Exponentials, Logarithms and other Transcendental Functions6 .1 The Natural Logarithm6 .2 Inverse Functions6 .3 Exponentials6 .4 The Inverse Trigonometric Functions6 .5 The Calculus of the Inverse Trigonometric Functions6 .6 The Hyperbolic FunctionChapter 7: First-Order Differential Equations7 .1 Modeling with Differential Equations / Growth and Decay Problems / Compound Interest7 .2 Separable Differential Equations / Logistic Growth7 .3 Direction Fields and Euler’s Method7 .4 Systems of First-Order Differential Equations / Predator-Prey Systems7 .6 Indeterminate Forms and L’Hopital’s Rule / Improper Integrals / A Comparison Test7 .8 ProbabilityChapter 8: First-Order Differential Equations8 .1 modeling with Differential Equations / Growth and Decay Problems / Compound Interest8 .2 Separable Differential Equations / Logistic Growth8 .3 Direction Fields and Euler’s Method / Systems of First Order Equations

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Chapter 9: Infinite Series9 .1 Sequences of Real Numbers9 .2 Infinite Series9 .3 The Integral Test and Comparison Tests9 .4 Alternating Series / Estimating the Sum of an Alternating Series9 .5 Absolute Convergence and the Ratio Test / The Root Test / Summary of Convergence Test9 .6 Power Series9 .7 Taylor Series / Representations of Functions as Series / Proof of Taylor’s Theorem9 .8 Applications of Taylor Series / The Binomial Series9 .9 Fourier SeriesChapter 10: Parametric Equations and Polar Coordinates10 .1 Plane Curves and Parametric Equations10 .2 Calculus and Parametric Equations10 .3 Arc Length and Surface Area in Parametric Equations10 .4 Polar Coordinates10 .5 Calculus and Polar Coordinates10 .6 Conic Sections10 .7 Conic Sections in Polar CoordinatesChapter 11: Vectors and the Geometry of Space11 .1 Vectors in the Plane11 .2 Vectors in Space11 .3 The Dot Product / Components and Projections11 .4 The Cross Product11 .5 Lines and Planes in Space11 .6 Surfaces in SpaceChapter 12: Vector-Valued Functions12 .1 Vector-Valued Functions12 .2 The Calculus Vector-Valued Functions12 .3 Motion in Space12 .4 Curvature12 .5 Tangent and Normal Vectors / Components of Acceleration, Kepler’s Laws12 .6 Parametric SurfacesChapter 13: Functions of Several Variables and Partial Differentiation13 .1 Functions of Several Variables13 .2 Limits and Continuity13 .3 Partial Derivatives13 .4 Tangent Planes and Linear Approximations / Increments and Differentials13 .5 The Chain Rule / Implicit Differentiation13 .6 The Gradient and Directional Derivatives13 .7 Extrema of Functions of Several Variables13 .8 Constrained Optimization and Lagrange MultipliersChapter 14: Multiple Integrals14 .1 Double Integrals14 .2 Area, Volume, and Center of Mass14 .3 Double Integrals in Polar Coordinates14 .4 Surface Area14 .5 Triple Integrals / Mass and Center of Mass14 .6 Cylindrical Coordinates14 .7 Spherical Coordinates14 .8 Change of Variables in Multiple IntegralsChapter 15: Vector Calculus15 .1 Vector Fields15 .2 Line Integrals15 .3 Independence of Path and Conservative Vector Fields15 .4 Green’s Theorem15 .5 Curl and Divergence15 .6 Surface Integrals15 .7 The Divergence Theorem15 .8 Stokes’ Theorem15 .9 Applications of Vector CalculusChapter 16: Second-Order Differential Equations16 .1 Second-Order Equations with Constant Coefficients16 .2 Nonhomogeneous Equations: Undetermined Coefficients16 .3 Applications of Second-Order Differential Equations16 .4 Power Series Solutions of Differential EquationsAppendix A: Proofs of Selected TheoremsAppendix B: Answers to Odd-Numbered Exercises


CALCULUS: MULTIVARIABLE: EARLY TRANSCENDENTAL FUNCTIONSThird EditionBy Robert T. Smith, Millersville University, and Roland B. Minton, Roanoke College2007 (February 2006) / Hardcover ISBN-13: 978-0-07-330937-8 / MHID: 0-07-330937-0ISBN-13: 978-0-07-321532-7 / MHID: 0-07-321532-5 (with MathZone)ISBN-13: 978-0-07-110787-7 / MHID: 0-07-110787-8 [IE with MathZone]

Browse http://www.mhhe.com/smithmintonStudents who have used Smith/Minton’s Calculus say it was easier to read than any other math book they’ve used . That testimony underscores the success of the authors’ approach, which combines the best elements of reform with the most reliable aspects of mainstream calculus teaching, resulting in a motivating, challenging book . Smith/Minton also provide exceptional, reality-based applications that appeal to students’ interests and demonstrate the elegance of math in the world around us . New features include:

A new organization placing all transcendental functions early in �the book and consolidating the introduction to L’Hôpital’s Rule in a single section .

More concisely written explanations in every chapter . �

Many new exercises (for a total of 7,000 throughout the book) �that require additional rigor not found in the 2nd Edition .

New exploratory exercises in every section that challenge �students to synthesize key concepts to solve intriguing projects .

New commentaries (“Beyond Formulas”) that encourage �students to think mathematically beyond the procedures they learn .



CoNteNtsChapter 0: Preliminaries0 .1 Polynomials and Rational Functions0 .2 Graphing Calculators and Computer Algebra Systems0 .3 Inverse Functions0 .4 Trigonometric and Inverse Trigonometric Functions0 .5 Exponential and Logarithmic Functions . Hyperbolic Functions . Fitting a Curve to Data .0 .6 Transformations of Functions .Chapter 1: Limits and Continuity1 .1 A First Look at Calculus1 .2 The Concept of Limit1 .3 Computation of Limits1 .4 Continuity and its Consequences . The Method of Bisections1 .5 Limits Involving Infinity . Asymptotes .1 .6 Formal Definition of the Limit . Exploring the Definition of Limit Graphically .1 .7 Limits and Loss-of-Significance Errors . Computer Representation of Real Numbers .Chapter 2: Differentiation2 .1 Tangent Lines and Velocity .2 .2 The Derivative . Numerical Differentiation .2 .3 Computation of Derivatives: The Power Rule . Higher Order Derivatives Acceleration2 .4 The Product and Quotient Rules2 .5 The Chain Rule2 .6 Derivatives of the Trigonometric Functions

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2 .7 Derivatives of the Exponential and Logarithmic Functions2 .8 Implicit Differentiation and Inverse Trigonometric Functions2 .9 The Mean Value Theorem Chapter 3: Applications of Differentiation3 .1 Linear Approximations and Newton’s Method3 .2 Indeterminate Forms and L’Hopital’s Rule3 .3 Maximum and Minimum Values3 .4 Increasing and Decreasing Functions3 .5 Concavity and the Second Derivative Test3 .6 Overview of Curve Sketching3 .7 Optimization3 .8 Related Rates3 .9 Rates of Change in Economics and the Sciences .Chapter 4: Integration4 .1 Antiderivatives4 .2 Sums and Sigma Notation . Principle of Mathematical Induction .4 .3 Area4 .4 The Definite Integral . Average Value of a Function4 .5 The Fundamental Theorem of Calculus4 .6 Integration by Substitution4 .7 Numerical Integration . Error Bounds for Numerical Integration .4 .8 The Natural Logarithm as an Integral . The Exponential Function as the Inverse of the Natural Logarithm .Chapter 5: Applications of the Definite Integral5 .1 Area Between Curves5 .2 Volume: Slicing, Disks, and Washers5 .3 Volumes by Cylindrical Shells5 .4 Arc Length and Surface Area5 .5 Projectile Motion5 .6 Applications of Integration to Economics and the Sciences .5 .7 ProbabilityChapter 6: Integration Techniques6 .1 Review of Formulas and Techniques6 .2 Integration by Parts6 .3 Trigonometric Techniques of Integration . Integrals Involving Powers of Trigonometric Functions . Trigonometric Substitution6 .4 Integration of Rational Functions Using Partial Fractions . General Strategies for Integration Techniques6 .5 Integration Tables and Computer Algebra Systems6 .6 Improper Integrals . A Comparison Test .Chapter 7: First Order Differential Equations7 .1 Growth and Decay Problems . Compound Interest . Modeling with Differential Equations .7 .2 Separable Differential Equations . Logistic Growth .7 .3 Direction Fields and Euler’s Method7 .4 Systems of First Order Differential Equations . Predator-Prey SystemsChapter 8: Infinite Series8 .1 Sequences of Real Numbers8 .2 Infinite Series8 .3 The Integral Test and Comparison Tests8 .4 Alternating Series . Estimating the Sum of an Alternating Series8 .5 Absolute Convergence and the Ratio Test . The Root Test . Summary of Convergence Tests8 .6 Power Series8 .7 Taylor Series . Representations of Functions as Series . Proof of Taylor’s Theorem8 .8 Applications of Taylor Series . The Binomial Series8 .9 Fourier Series .Chapter 9: Parametric Equations and Polar Coordinates9 .1 Plane Curves and Parametric Equations9 .2 Calculus and Parametric Equations9 .3 Arc Length and Surface Area in Parametric Equations9 .4 Polar Coordinates9 .5 Calculus and Polar Coordinates9 .6 Conic Sections9 .7 Conic Sections in Polar Coordinates .Chapter 10: Vectors and the Geometry of Space10 .1 Vectors in the Plane10 .2 Vectors in Space10 .3 The Dot Product . Components and Projections .

10 .4 The Cross Product10 .5 Lines and Planes in Space10 .6 Surfaces in SpaceChapter 11: Vector-Valued Functions11 .1 Vector-Valued Functions11 .2 The Calculus of Vector-Valued Functions11 .3 Motion in Space11 .4 Curvature11 .5 Tangent and Normal Vectors . Tangential and Normal Components of Acceleration . Kepler’s Laws11 .6 Parametric Surfaces .Chapter 12: Functions of Several Variables and Differentiation12 .1 Functions of Several Variables12 .2 Limits and Continuity12 .3 Partial Derivatives12 .4 Tangent Planes and Linear Approximations . Increments and Differentials12 .5 The Chain Rule12 .6 The Gradient and Directional Derivatives12 .7 Extrema of Functions of Several Variables12 .8 Constrained Optimization and Lagrange MultipliersChapter 13: Multiple Integrals.13 .1 Double Integrals .13 .2 Area, Volume, and Center of Mass .13 .3 Double Integrals in Polar Coordinates .13 .4 Surface Area .13 .5 Triple Integrals . Mass and Center of Mass .13 .6 Cylindrical Coordinates .13 .7 Spherical Coordinates13 .8 Change of Variables in Multiple Integrals .Chapter 14: Vector Calculus14 .1 Vector Fields14 .2 Line Integrals14 .3 Independence of Path and Conservative Vector Fields14 .4 Green’s Theorem14 .5 Curl and Divergence14 .6 Surface Integrals14 .7 The Divergence Theorem14 .8 Stokes’ Theorem14 .9 Applications of Vector Calculus .Chapter 15: Second Order Differential Equations15 .1 Second-Order Equations with Constant Coefficients15 .2 Nonhomogeneous Equations: Undetermined Coefficients15 .3 Applications of Second Order Equations15 .4 Power Series Solutions of Differential Equations .Appendix A: Proofs of Selected TheoremsAppendix B: Answers to Odd-Numbered Exercises






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Abstract Algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .101Advanced Engineering Mathematics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .94Advanced Geometry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .101Combinatorics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .93Complex Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .101Differential Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .85Differential Equations With Boundary Value Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .87Dynamical System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .95Graph Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .95History Of Mathematics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .97Introductory Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .97Linear Algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .90Logic . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .94Mathematical References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .105Number Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .100Numerical Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .99Partial Differential Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .88Topology . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .104Transition To Higher Math/Foundations Of Higher Math . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .89

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HIGHER MATHEMATICS2009 Author ISBN-13 MHID PageComplex Variables And Applications, 8e Brown 9780073051949 0073051942 101

2008Fourier Series And Boundary Value Problems, 7e Brown 9780073051932 0073051934 88

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Differential Equations


DIFFERENTIAL EQUATIONS: THEORY, TECHNIQUE, AND PRACTICEBy George F. Simmons, Colorado College, and Steven G. Krantz, Washington University-St Louis2007 (December 2005) / 768 pages / HardcoverISBN-13: 978-0-07-286315-4 / MHID: 0-07-286315-3 ISBN-13: 978-0-07-125437-3 / MHID: 0-07-125437-4 [IE]

www.mhhe.com/simmonsThis traditional text is intended for mainstream one- or two-semester differential equations courses taken by undergraduates majoring in engineering, mathematics, and the sciences . Written by two of the world’s leading authorities on differential equations, Simmons/Krantz provides a cogent and accessible introduction to ordinary differential equations written in classical style . Its rich variety of modern applications in engineering, physics, and the applied sciences illuminate the concepts and techniques that students will use through practice to solve real-life problems in their careers . This text is part of the Walter Rudin Student Series in Advanced Mathematics .

CoNteNtsPreface1 What is a Differential Equation?1 .1 Introductory Remarks1 .2 The Nature of Solutions1 .3 Separable Equations1 .4 First-Order Linear Equations1 .5 Exact Equations1 .6 Orthogonal Trajectories and Families of Curves1 .7 Homogeneous Equations1 .8 Integrating Factors1 .9 Reduction of Order1 .9 .1 Dependent Variable Missing1 .9 .2 Independent Variable Missing1 .10 The Hanging Chain and Pursuit Curves1 .10 .1 The Hanging Chain1 .10 .2 Pursuit Curves1 .11 Electrical Circuits Anatomy of an Application: The Design of a Dialysis Machine . Problems for Review and Discovery .2 Second-Order Equations2 .1 Second-Order Linear Equations with Constant Coefficients2 .2 The Method of Undetermined Coefficients2 .3 The Method of Variation of Parameters2 .4 The Use of a Known Solution to Find Another2 .5 Vibrations and Oscillations2 .5 .1 Undamped Simple Harmonic Motion2 .5 .2 Damped Vibrations2 .5 .3 Forced Vibrations2 .5 .4 A Few Remarks About Electricity2 .6 Newton’s Law of Gravitation and Kepler’s Laws2 .6 .1 Kepler’s Second Law2 .6 .2 Kepler’s First Law2 .6 .3 Kepler’s Third Law2 .7 Higher Order Equations . Anatomy of an Application: Bessel Functions and the Vibrating Membrane . Problems for Review and Discovery .3 Qualitative Properties and Theoretical Aspects3 .0 Review of Linear Algebra3 .0 .1 Vector Spaces3 .0 .2 The Concept Linear Independence3 .0 .3 Bases3 .0 .4 Inner Product Spaces3 .0 .5 Linear Transformations and Matrices3 .0 .6 Eigenvalues and Eigenvectors3 .1 A Bit of Theory

3 .2 Picard’s Existence and Uniqueness Theorem3 .2 .1 The Form of a Differential Equation3 .2 .2 Picard’s Iteration Technique3 .2 .3 Some Illustrative Examples3 .2 .4 Estimation of the Picard Iterates3 .3 Oscillations and the Sturm Separation Theorem3 .4 The Sturm Comparison Theorem . Anatomy of an Application: The Green’s Function . Problems for Review and Discovery .4 Power Series Solutions and Special Functions4 .1 Introduction and Review of Power Series4 .1 .1 Review of Power Series .4 .2 Series Solutions of First-Order Differential Equations .4 .3 Second-Order Linear Equations: Ordinary Points .4 .4 Regular Singular Points .4 .5 More on Regular Singular Points .4 .6 Gauss’s Hypergeometric Equation . Anatomy of an Application: Steady State Temperature in a Ball . Problems for Review and Discovery .5 Fourier Series: Basic Concepts.5 .1 Fourier Coefficients .5 .2 Some Remarks about Convergence .5 .3 Even and Odd Functions: Cosine and Sine Series .5 .4 Fourier Series on Arbitrary Intervals .5 .5 Orthogonal Functions . Anatomy of an Application: Introduction to the Fourier Transform . Problems for Review and Discovery .6 Partial Differential Equations and Boundary Value Problems. 6 .1 Introduction and Historical Remarks .6 .2 Eigenvalues, Eigenfunctions, and the Vibrating String . 6 .2 .1 Boundary Value Problems .6 .2 .2 Derivation of the Wave Equation .6 .2 .3 Solution of the Wave Equation .6 .3 The Heat Equation .6 .4 The Dirichlet Problem for a Disc .6 .4 .1 The Poisson Integral6 .5 Sturm-Liouville Problems . Anatomy of an Application: Some Ideas from Quantum Mechanics . Problems for Review and Discovery .7 Laplace Transforms.7 .0 Introduction7 .1 Applications to Differential Equations 7 .2 Derivatives and Integrals of Laplace Transforms 7 .3 Convolutions7 .4 The Unit Step and Impulse Functions . Anatomy of an Application: Flow Initiated by an Impulsively-Started Flat Plate . Problems for Review and Discovery .8 The Calculus of Variations8 .1 Introductory Remarks . 8 .2 Euler’s Equation .8 .3 Isoperimetric Problems and the Like .8 .3 .1 Lagrange Multipliers8 .3 .2 Integral Side Conditions .8 .3 .3 Finite Side Conditions . Anatomy of an Application: Hamilton’s Principle and its Implications . Problems for Review and Discovery .9 Numerical Methods.9 .1 Introductory Remarks .9 .2 The Method of Euler .9 .3 The Error Term .9 .4 An Improved Euler Method9 .5 The Runge-Kutta Method . Anatomy of an Application: A Constant Perturbation Method for Linear, Second-Order Equations . Problems for Review and Discovery .10 Systems of First-Order Equations10 .1 Introductory Remarks .10 .2 Linear Systems10 .3 Homogeneous Linear Systems with Constant Coefficients10 .4 Nonlinear Systems: Volterra’s Predator-Prey Equations . Anatomy of an Application: Solution of Systems with Matrices and Exponentials . Problems for Review and Discovery .11 The Nonlinear Theory.11 .1 Some Motivating Examples11 .2 Specializing Down11 .3 Types of Critical Points: Stability

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11 .4 Critical Points and Stability for Linear Systems11 .5 Stability by Liapunov’s Direct Method11 .6 Simple Critical Points of Nonlinear Systems11 .7 Nonlinear Mechanics: Conservative Systems11 .8 Periodic Solutions: The Poincaré-Bendixson Theorem . Anatomy of an Application: Mechanical Analysis of a Block on a Spring . Problems for Review and Discovery .12 Dynamical Systems12 .1 Flows12 .1 .1 Dynamical Systems12 .1 .2 Stable and Unstable Fixed Points12 .1 .3 Linear Dynamics in the Plane12 .2 Some Ideas from Topology12 .2 .1 Open and Closed Sets12 .2 .2 The Idea of Connectedness12 .2 .3 Closed Curves in the Plane12 .3 Planar Autonomous Systems12 .3 .1 Ingredients of the Proof of Poincaré-Bendixson . Anatomy of an Application: Lagrange’s Equations . Problems for Review and Discovery . Bibliography

DIFFERENTIAL EQUATIONSBy Keng Cheng Ang2005 (October 2005) ISBN-13: 978-0-07-125085-6 / MHID: 0-07-125085-9An Asian Publication

Many books on differential equations assume that the reader has a fairly sophisticated level of competence in calculus at the university level . Differential Equations: Models and Methods differs from them in that it enables a student with some basic knowledge of calculus to learn about differential equations and appreciate their applications . The focus of the book is on first order differential equations, their methods of solution and their use in mathematical models . Methods include analytic and graphical solutions, as well as numerical techniques . Readers will not only learn the necessary techniques of solving first order differential equations, but also how these equations can be applied in different fields. Examples have been carefully chosen to provide motivation for new concepts or techniques, and to illustrate the importance of differential equations . This book was written with student needs in mind; in particular, pre-university students taking the new GCE ‘A’ Level H3 Mathematics will find it useful in helping them through the course .

CoNteNtsPreface1 . Basic Concepts2 . Analytic Solutions3 . Graphical Techniques4 . Numerical Methods5 . Mathematical Models6 . Further ApplicationsFurther ReadingAppendix A: Table of IntegralsAppendix B: Method of Least SquaresAnswers to Odd-numbered ProblemsIndex


DIFFERENTIAL EQUATIONS: A MODELING APPROACHBy Glenn Ledder, University of Nebraska—Lincoln2005 / 768 pages ISBN-13: 978-0-07-242229-0 / MHID: 0-07-242229-7ISBN-13: 978-0-07-111151-5 / MHID: 0-07-111151-4 [IE]

www.mhhe.com/ledderCoNteNts1 Introduction:1 .1 Natural Decay and Natural Growth .1 .2 Differential Equations and Solutions .1 .3 Mathematical Models and Mathematical Modeling . Case Study 1 Scientific Detection of Art Forgery .2 Basic Concepts and Techniques:2 .1 A Collection of Mathematical Models .2 .2 Separable First-Order Equations .2 .3 Slope Fields .2 .4 Existence of Unique Solutions .2 .5 Euler’s Method .2 .6 Runge-Kutta Methods . Case Study 2 A Successful Volleyball Serve .3 Homogeneous Linear Equations.3 .1 Linear Oscillators .3 .2 Systems of Linear Algebraic Equations .3 .3 Theory of Homogeneous Linear Equations .3 .4 Homogeneous Equations with Constant Coefficients .3 .5 Real Solutions from Complex Characteristic Values .3 .6 Multiple Solutions for Repeated Characteristic Values .3 .7 Some Other Homogeneous Linear Equations . Case Study 3 How Long Should Jellyfish Hold their Food?4 Nonhomogeneous Linear Equations:4 .1 More on Linear Oscillator Models .4 .2 General Solutions for Nonhomogeneous Equations .4 .3 The Method of Undetermined Coefficients .4 .4 Forced Linear Oscillators .4 .5 Solving First-Order Linear Equations .4 .6 Particular Solutions for Second-Order Equations by Variation of Parameters . Case Study 4 A Tuning Circuit for a Radio .5 Autonomous Equations and Systems:5 .1 Population Models .5 .2 The Phase Line .5 .3 The Phase Plane .5 .4 The Direction Field and Critical Points .5 .5 Qualitative Analysis . Case Study 5 A Self-Limiting Population .6 Analytical Methods for Systems:6 .1 Compartment Models .6 .2 Eigenvalues and Eigenspaces .6 .3 Linear Trajectories .6 .4 Homogeneous Systems with Real Eigenvalues .6 .5 Homogeneous Systems with Complex Eigenvalues .6 .6 Additional Solutions for Deficient Matrices .6 .7 Qualitative Behavior of Nonlinear Systems . Case Study 6 Invasion by Disease .7 The Laplace Transform:7 .1 Piecewise-Continuous Functions .7 .2 Definition and Properties of the Laplace Transform .7 .3 Solution of Initial-Value Problems with the Laplace Transform .7 .4 Piecewise-Continuous and Impulsive Forcing .7 .5 Convolution and the Impulse Response Function . Case Study 7 Growth of a Structured Population .8 Vibrating Strings: A Focused Introduction to Partial Differential Equations:8 .1 Transverse Vibration of a String .8 .2 The General Solution of the Wave Equation .8 .3 Vibration Modes of a Finite String .8 .4 Motion of a Plucked String .

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8 .5 Fourier Series . Case Study 8 Stringed Instruments and Percussion .A Some Additional Topics:A .1 Using Integrating Factors to Solve First-Order Linear Equations (Chapter 2) .A .2 Proof of the Existence and Uniqueness Theorem for First-Order Equations (Chapter 2) .A .3 Error in Numerical Methods (Chapter 2) .A .4 Power Series Solutions (Chapter 3) .A .5 Matrix Functions (Chapter 6) .A .6 Nonhomogeneous Linear Systems (Chapter 6) .A .7 The One-Dimensional Heat Equation (Chapter 8) .A .8 Laplace’s Equation (Chapter 8)


DIFFERENTIAL EQUATIONS WITH APPLICATIONS AND HISTORICAL NOTESSecond EditionBy George F. Simmons, Colorado College1991 / 640 pages ISBN-13: 978-0-07-057540-0 / MHID: 0-07-057540-1ISBN-13: 978-0-07-112807-0 / MHID: 0-07-112807-7 [IE]

CoNteNts1 The Nature of Differential Equations .2 First Order Equations .3 Second Order Linear Equations .4 Qualitative Properties of Solutions .5 Power Series Solutions and Special Functions .6 Fourier Series and Orthogonal Functions .7 Partial Differential Equations and Boundary Value Problems .8 Some Special Functions of Mathematical Physics .9 Laplace Transforms .10 Systems of First Order Equations .11 Nonlinear Equations .12 The Calculus of Variations .13 The Existence and Uniqueness of Solutions .14 Numerical Methods .

SCHAUM’S OUTLINE OF DIFFERENTIAL EQUATIONSThird EditionBy Richard Bronson, Fairleigh Dickinson University-Madison and Gabriel Costa, US Military Academy2006 (June 2006) / 384 pagesISBN-13: 978-0-07-145687-6 / MHID: 0-07-145687-2A Schaum’s PublicationThoroughly updated, this third edition of Schaum’s Outline of Differential Equations offers you new, faster techniques for solving differential equations generated by the emergence of high-speed computers . Differential equations, a linchpin of modern math, are essential in engineering, the natural sciences, economics, and business . Includes:

563 fully solved problems �

800-plus supplementary problems �

New chapter on modeling �

Differential Equations with Boundary Value Problems


DIFFERENTIAL EQUATIONS: THEORY, TECHNIQUE, AND PRACTICEBy George F. Simmons, Colorado College, and Steven G. Krantz, Washington University-St Louis2007 (December 2005) / 768 pages / HardcoverISBN-13: 978-0-07-286315-4 / MHID: 0-07-286315-3 ISBN-13: 978-0-07-125437-3 / MHID: 0-07-125437-4 [IE]

www.mhhe.com/simmonsThis traditional text is intended for mainstream one- or two-semester differential equations courses taken by undergraduates majoring in engineering, mathematics, and the sciences . Written by two of the world’s leading authorities on differential equations, Simmons/Krantz provides a cogent and accessible introduction to ordinary differential equations written in classical style . Its rich variety of modern applications in engineering, physics, and the applied sciences illuminate the concepts and techniques that students will use through practice to solve real-life problems in their careers . This text is part of the Walter Rudin Student Series in Advanced Mathematics .

CoNteNtsPreface1 What is a Differential Equation?1 .1 Introductory Remarks1 .2 The Nature of Solutions1 .3 Separable Equations1 .4 First-Order Linear Equations1 .5 Exact Equations1 .6 Orthogonal Trajectories and Families of Curves1 .7 Homogeneous Equations1 .8 Integrating Factors1 .9 Reduction of Order1 .9 .1 Dependent Variable Missing1 .9 .2 Independent Variable Missing1 .10 The Hanging Chain and Pursuit Curves1 .10 .1 The Hanging Chain1 .10 .2 Pursuit Curves1 .11 Electrical Circuits Anatomy of an Application: The Design of a Dialysis Machine . Problems for Review and Discovery .2 Second-Order Equations2 .1 Second-Order Linear Equations with Constant Coefficients2 .2 The Method of Undetermined Coefficients2 .3 The Method of Variation of Parameters2 .4 The Use of a Known Solution to Find Another2 .5 Vibrations and Oscillations2 .5 .1 Undamped Simple Harmonic Motion2 .5 .2 Damped Vibrations2 .5 .3 Forced Vibrations2 .5 .4 A Few Remarks About Electricity2 .6 Newton’s Law of Gravitation and Kepler’s Laws2 .6 .1 Kepler’s Second Law2 .6 .2 Kepler’s First Law2 .6 .3 Kepler’s Third Law2 .7 Higher Order Equations . Anatomy of an Application: Bessel Functions and the Vibrating Membrane . Problems for Review and Discovery .3 Qualitative Properties and Theoretical Aspects3 .0 Review of Linear Algebra3 .0 .1 Vector Spaces3 .0 .2 The Concept Linear Independence3 .0 .3 Bases

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3 .0 .4 Inner Product Spaces3 .0 .5 Linear Transformations and Matrices3 .0 .6 Eigenvalues and Eigenvectors3 .1 A Bit of Theory3 .2 Picard’s Existence and Uniqueness Theorem3 .2 .1 The Form of a Differential Equation3 .2 .2 Picard’s Iteration Technique3 .2 .3 Some Illustrative Examples3 .2 .4 Estimation of the Picard Iterates3 .3 Oscillations and the Sturm Separation Theorem3 .4 The Sturm Comparison Theorem . Anatomy of an Application: The Green’s Function . Problems for Review and Discovery .4 Power Series Solutions and Special Functions4 .1 Introduction and Review of Power Series4 .1 .1 Review of Power Series .4 .2 Series Solutions of First-Order Differential Equations .4 .3 Second-Order Linear Equations: Ordinary Points .4 .4 Regular Singular Points .4 .5 More on Regular Singular Points .4 .6 Gauss’s Hypergeometric Equation . Anatomy of an Application: Steady State Temperature in a Ball . Problems for Review and Discovery .5 Fourier Series: Basic Concepts.5 .1 Fourier Coefficients .5 .2 Some Remarks about Convergence .5 .3 Even and Odd Functions: Cosine and Sine Series .5 .4 Fourier Series on Arbitrary Intervals .5 .5 Orthogonal Functions . Anatomy of an Application: Introduction to the Fourier Transform . Problems for Review and Discovery .6 Partial Differential Equations and Boundary Value Problems. 6 .1 Introduction and Historical Remarks .6 .2 Eigenvalues, Eigenfunctions, and the Vibrating String . 6 .2 .1 Boundary Value Problems .6 .2 .2 Derivation of the Wave Equation .6 .2 .3 Solution of the Wave Equation .6 .3 The Heat Equation .6 .4 The Dirichlet Problem for a Disc .6 .4 .1 The Poisson Integral6 .5 Sturm-Liouville Problems . Anatomy of an Application: Some Ideas from Quantum Mechanics . Problems for Review and Discovery .7 Laplace Transforms.7 .0 Introduction7 .1 Applications to Differential Equations 7 .2 Derivatives and Integrals of Laplace Transforms 7 .3 Convolutions7 .4 The Unit Step and Impulse Functions . Anatomy of an Application: Flow Initiated by an Impulsively-Started Flat Plate . Problems for Review and Discovery .8 The Calculus of Variations8 .1 Introductory Remarks . 8 .2 Euler’s Equation .8 .3 Isoperimetric Problems and the Like .8 .3 .1 Lagrange Multipliers8 .3 .2 Integral Side Conditions .8 .3 .3 Finite Side Conditions . Anatomy of an Application: Hamilton’s Principle and its Implications . Problems for Review and Discovery .9 Numerical Methods.9 .1 Introductory Remarks .9 .2 The Method of Euler .9 .3 The Error Term .9 .4 An Improved Euler Method9 .5 The Runge-Kutta Method . Anatomy of an Application: A Constant Perturbation Method for Linear, Second-Order Equations . Problems for Review and Discovery .10 Systems of First-Order Equations10 .1 Introductory Remarks .10 .2 Linear Systems10 .3 Homogeneous Linear Systems with Constant Coefficients10 .4 Nonlinear Systems: Volterra’s Predator-Prey Equations . Anatomy of an Application: Solution of Systems with Matrices and Exponentials . Problems for Review and Discovery .

11 The Nonlinear Theory.11 .1 Some Motivating Examples11 .2 Specializing Down11 .3 Types of Critical Points: Stability11 .4 Critical Points and Stability for Linear Systems11 .5 Stability by Liapunov’s Direct Method11 .6 Simple Critical Points of Nonlinear Systems11 .7 Nonlinear Mechanics: Conservative Systems11 .8 Periodic Solutions: The Poincaré-Bendixson Theorem . Anatomy of an Application: Mechanical Analysis of a Block on a Spring . Problems for Review and Discovery .12 Dynamical Systems12 .1 Flows12 .1 .1 Dynamical Systems12 .1 .2 Stable and Unstable Fixed Points12 .1 .3 Linear Dynamics in the Plane12 .2 Some Ideas from Topology12 .2 .1 Open and Closed Sets12 .2 .2 The Idea of Connectedness12 .2 .3 Closed Curves in the Plane12 .3 Planar Autonomous Systems12 .3 .1 Ingredients of the Proof of Poincaré-Bendixson . Anatomy of an Application: Lagrange’s Equations . Problems for Review and Discovery . Bibliography

Partial Differential Equations


FOURIER SERIES AND BOUNDARY VALUE PROBLEMSSeventh Edition

By James Ward Brown, University of Michigan-Dearborn and Ruel Churchill (deceased)

2008 (August 2006) / 384 pagesISBN-13: 978-0-07-305193-2 / MHID: 0-07-305193-4ISBN-13: 978-0-07-125917-0 / MHID: 0-07-125917-1 [IE]

Published by McGraw-Hill since its first edition in 1941, this classic text is an introduction to Fourier series and their applications to boundary value problems in partial differential equations of engineering and physics . It will primarily be used by students with a background in ordinary differential equations and advanced calculus . There are two main objectives of this text. The first is to introduce the concept of orthogonal sets of functions and representations of arbitrary functions in series of functions from such sets . The second is a clear presentation of the classical method of separation of variables used in solving boundary value problems with the aid of those representations .

New to this editioN

Reorganization of Topics: Topics in the text have been realigned �to allow for more focus on each section and to allow for more

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examples . The chapter on The Fourier Method has been moved earlier in the book (now Chapter 2) . The former Fourier Series chapter has been split into two chapters (Chapter 3: Orthonormal Sets and Fourier Series and Chapter 4: Convergence of Fourier Series) .

Problem Sets Revised: Problem sets have been broken up into �more manageable segments to allow for each problem set to be very focused .

Examples Added: Additional examples have been added in each �chapter to help illustrate important topics .

CoNteNtsPreface1 Fourier Series2 Convergence of Fourier Series3 Partial Differential Equations of Physics4 The Fourier Method5 Boundary Value Problems6 Fourier Integrals and Applications7 Orthonormal Sets8 Sturm-Liouville Problems and Applications9 Bessel Functions and Applications10 Legendre Polynomials and Applications11 Verification of Solutions and UniquenessAppendixesBibliographySome Fourier Series ExpansionsSolutions of Some Regular Sturm-Liouville ProblemsIndex


ELEMENTS OF PARTIAL DIFFERENTIAL EQUATIONS By Sneddon1985 / 344 pages ISBN-13: 978-0-07-085740-7 / MHID: 0-07-085740-7 [IE]

SCHAUM’S OUTLINE OF PARTIAL DIFFERENTIAL EQUATIONSBy Paul DuChateau, Colorado State University and D W Zachmann, Colorado State University1986 / 256 pages ISBN-13: 978-0-07-017897-7 / MHID: 0-07-017897-6A Schaum’s PublicationCoNteNtsIntroduction .Classification and Characteristics .Qualitative Behavior of Solutions to Elliptic Equations .Qualitative Behavior of Solutions to Evolution Equations .First-Order Equations Eigenfunction Expansions and Integral Transforms: Theory .Eigenfunction Expansions and Integral Transforms: Applications .Green’s Functions .Difference Methods for Parabolic Equations .Difference and Characteristic Methods for Parabolic Equations .Difference Methods for Hyperbolic Equations .Difference Methods for Elliptic Equations .

Variational Formulation of Boundary Value Problems .The Finite Element Method: An Introduction .Answers to Supplementary Problems .

Transition to Higher Math /Foundations of Higher

Math


TRANSITION TO HIGHER MATHEMATICSStructure and ProofBy Bob A. Dumas, University Of Washington, and John E. McCarthy, Washington University-St Louis2007 (February 2006) / 416 pages / HardcoverISBN-13: 978-0-07-353353-7 / MHID: 0-07-353353-XISBN-13: 978-0-07-110647-4 / MHID: 0-07-110647-2 [IE]

This text is intended for the Foundations of Higher Math bridge course taken by prospective math majors following completion of the mainstream Calculus sequence, and is designed to help students develop the abstract mathematical thinking skills necessary for success in later upper-level majors math courses . As lower-level courses such as Calculus rely more exclusively on computational problems to service students in the sciences and engineering, math majors increasingly need clearer guidance and more rigorous practice in proof technique to adequately prepare themselves for the advanced math curriculum . With their friendly writing style Bob Dumas and John McCarthy teach students how to organize and structure their mathematical thoughts, how to read and manipulate abstract definitions, and how to prove or refute proofs by effectively evaluating them . Its wealth of exercises give students the practice they need, and its rich array of topics give instructors the flexibility they desire to cater coverage to the needs of their school’s majors curriculum . This text is part of the Walter Rudin Student Series in Advanced Mathematics .

CoNteNtsChapter 0. Introduction.0 .1 . Why this book is0 .2 . What this book is0 .3 . What this book is not0 .4 . Advice to the Student0 .5 . Advice to the Teacher0 .6 . AcknowledgementsChapter 1. Preliminaries1 .1 . “And” “Or”1 .2 . Sets1 .3 . Functions1 .4 . Injections, Surjections, Bijections1 .5 . Images and Inverses1 .6 . Sequences1 .7 . Russell’s Paradox1 .8 . ExercisesChapter 2. Relations2 .1 . Definitions2 .2 . Orderings2 .3 . Equivalence Relations2 .4 . Constructing Bijections2 .5 . Modular Arithmetic2 .6 . ExercisesChapter 3. Proofs3 .1 . Mathematics and Proofs

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3 .2 . Propositional Logic3 .3 . Formulas3 .4 . Quantifiers3 .5 . Proof Strategies3 .6 . Exercises .Chapter 4. Principle of Induction4 .1 . Well-orderings4 .2 . Principle of Induction4 .3 . Polynomials4 .4 . Arithmetic-Geometric Inequality4 .5 . ExercisesChapter 5. Limits5 .1 . Limits5 .2 . Continuity5 .3 . Sequences of Functions5 .4 . ExercisesChapter 6. Cardinality6 .1 . Cardinality6 .2 . Infinite Sets6 .3 . Uncountable Sets6 .4 . Countable Sets6 .5 . Functions and Computability6 .6 . Exercises .Chapter 7. Divisibility7 .1 . Fundamental Theorem of Arithmetic7 .2 . The Division Algorithm7 .3 . Euclidean Algorithm7 .4 . Fermat’s Little Theorem7 .5 . Divisibility and Polynomials7 .6 . ExercisesChapter 8. The Real Numbers.8 .1 . The Natural Numbers8 .2 . The Integers8 .3 . The Rational Numbers8 .4 . The Real Numbers8 .5 . The Least Upper Bound Principle8 .6 . Real Sequences8 .7 . Ratio Test8 .8 . Real Functions8 .9 . Cardinality of the Real Numbers8 .10 . ExercisesChapter 9. Complex Numbers 9 .1 . Cubics9 .2 . Complex Numbers9 .3 . Tartaglia-Cardano Revisited9 .4 . Fundamental Theorem of Algebra9 .5 . Application to Real Polynomials9 .6 . Further remarks9 .7 . ExercisesAppendix A . The Greek AlphabetAppendix B . Axioms of Zermelo-Fraenkel with the Axiom of ChoiceAppendix C . Hints to get started on early exercises .Bibliography .Index

Linear Algebra


LINEAR ALGEBRA WITH APPLICATIONSFifth EditionBy Keith Nicholson, University of Calgary2006 (January 2006) / 512 pagesISBN-13: 978-0-07-092277-8 / MHID: 0-07-092277-2ISBN-13: 978-0-07-125353-6 / MHID: 0-07-125353-X [IE]McGraw-Hill Canada Title

W . Keith Nicholson’s Linear Algebra with Applications, Fifth Canadian Edition is written for first and second year students at both the college or university level . Its real world approach challenges students step-by-step, gradually bringing them to a higher level of understanding from abstract to more general concepts . Real world applications have been added to the new edition, including: Directed graphs Google PageRank Computer graphics Correlation and Variance Finite Fields and Linear Codes In addition to the new applications, the author offers several new exercises and examples throughout each chapter . Some new examples include: motivating matrix multiplication (Chapter 2) a new way to expand a linearly independent set to a basis using an existing basis While some instructors will use the text for one semester, ending at Chapter 5 The Vector Space Rn others will continue with more abstract concepts being introduced . Chapter 5 prepares students for the transition, acting as the “bridging” chapter, allowing challenging concepts like subspaces, spanning, independence and dimension to be assimilated first in the concrete context of Rn. This “bridging” concept eases students into the introduction of vector spaces in Chapter 6 .

CoNteNtsChapter 1 Systems of Linear Equations1 .1 Solutions and Elementary Operations1 .2 Gaussian Elimination1 .3 Homogeneous Equations1 .4 An Application to Network Flow1 .5 An Application to Electrical Networks1 .6 An Application to Chemical Reactions Supplementary Exercises for Chapter 1Chapter 2 Matrix Algebra2 .1 Matrix Addition, Scalar Multiplication, and Transposition2 .2 Matrix Multiplication2 .3 Matrix Inverses2 .4 Elementary Matrices2 .5 Matrix Transformations2 .6 LU-Factorization2 .7 An Application to Input-Output Economic Models2 .8 An Application to Markov Chains Supplementary Exercises for Chapter 2Chapter 3 Determinants and Diagonalization3 .1 The Cofactor Expansion3 .2 Determinants and Matrix Inverses3 .3 Diagonalization and Eigenvalues3 .5 An Application to Linear Recurrences3 .6 An Application to Population Growth3 .7 Proof of the Cofactor Expansion Supplementary Exercises for Chapter 3Chapter 4 Vector Geometry4 .1 Vectors and Lines4 .2 Projections and Planes4 .3 The Cross Product4 .4 Matrix Transformations II4 .5 An Application to Computer Graphics Supplementary Exercises for Chapter 4Chapter 5 The Vector Space Rn5 .1 Subspaces and Spanning5 .2 Independence and Dimension5 .3 Orthogonality

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5 .4 Rank of a Matrix5 .5 Similarity and Diagonalization5 .6 An Application to Correlation and Variance5 .7 An Application to Least Squares Approximation Supplementary Exercises for Chapter 5Chapter 6 Vector Spaces6 .1 Examples and Basic Properties6 .2 Subspaces and Spanning Sets6 .3 Linear Independence and Dimension6 .4 Finite Dimensional Spaces6 .5 An Application to Polynomials6 .6 An Application to Differential Equations Supplementary Exercises for Chapter 6Chapter 7 Linear Transformations7 .1 Examples and Elementary Properties7 .2 Kernel and Image of a Linear Transformation7 .3 Isomorphisms and Composition7 .4 More on Linear RecurrencesChapter 8 Orthogonality8 .1 Orthogonal Complements and Projections8 .2 Orthogonal Diagonalization8 .3 Positive Definite Matrices8 .4 QR-Factorization8 .5 Computing Eigenvalues8 .6 Complex Matrices8 .7 Best Approximation and Least Squares8 .8 Finite Fields and Linear Codes8 .9 An Application to Quadratic Forms8 .10 An Application to Systems of Differential EquationsChapter 9 Change of Basis9 .1 The Matrix of a Linear Transformation9 .2 Operators and Similarity9 .3 Invariant Subspaces and Direct Sums9 .4 Block Triangular Form*9 .5 Jordan Canonical FormChapter 10 Inner Product Spaces10 .1 Inner Products and Norms10 .2 Orthogonal Sets of Vectors10 .3 Orthogonal Diagonalization10 .4 Isometries10 .5 An Application to Fourier Approximation


ELEMENTARY LINEAR ALGEBRASecond EditionBy Keith Nicholson, University of Calgary2004 / 608 pages / softcoverISBN-13: 978-0-07-091142-0 / MHID: 0-07-091142-8ISBN-13: 978-0-07-123439-9 / MHID: 0-07-123439-X [IE]

www.mcgraw-hill.ca/college/nicholsonMcGraw-Hill Canada Title

CoNteNtsChapter 1 Linear Equations and Matrices:Matrices .Linear Equations .Homogeneous Systems .Matrix Multiplication . Matrix Inverses .Elementary Matrices .Lu-Factorization . Application ot Markov Chains .Chapter 2 Determinants and Eigenvalues:Cofactor Expansions .Determinants and Inversees .Diagonalization and Eigenvalues .Linear Dynamical Systems .Complex Eignevalues .Linear Recurrences .Polynomial Interpolation .Systems of Differential Equations .Chapter 3 Vector Geometry:Geometric Vectors . Dot Product and Projections . Lines and Planes .Matrix Transformation of R^2 .The Cross Product:Optional .Chapter 4 The Vector Space R^n.Subspaces and Spanning .Linear Independence .Dimension .Rank .Orthogonality .Projections and Approximation .Orthogonal Diagonalization .Quadratic Forms .Linear Transformations .Complex Matrices .Singular Value Decomposition .Chapter 5 Vector Spaces:Examples and Basic Properties .Independence and Dimension .Linear Transformations .Isomorphisms and Matrices .Linear Operations and Similarity .Invariant Subspaces .General Inner Products .Appendix:A .1 Basic Trigonometry .A .2 Induction .A .3 Polynomials

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SCHAUM’S OUTLINE OF LINEAR ALGEBRAFourth EditionBy Seymour Lipschutz, Temple University-Philadelphia and Marc Lipson, University of Georgia2009 (July 2008) / 480 pagesISBN-13: 978-0-07-154352-1 / MHID: 0-07-154352-X A Schaum’s PublicationA classic Schaum’s bestseller, thoroughly updated to match the latest course scope and sequence . The ideal review for hundreds of thousands of college and high school students who enroll in linear algebra courses .

CoNteNts1 . Vectors in R and C, Spatial Vectors 2 . Algebra of Matrices 3 . Systems of Linear Equations 4 . Vector Spaces 5 . Linear Mappings 6 . Linear Mappings and Matrices 7 . Inner Product Spaces, Orthogonality 8 . Determinants 9 . Diagonalization: Eigenvalues and Eigenvectors 10 . Canonical Forms 11 . Linear Functionals and the Dual Space 12 . Bilinear, Quadratic, and Hermitian Forms 13 . Linear Operators on Inner Product Spaces 14 . Multilinear Products

LINEAR ALGEBRA DEMYSTIFIEDBy David McMahon2006 (October 2005) / 255 pagesISBN-13: 978-0-07-146579-3 / MHID: 0-07-146579-0A Professional PublicationTaught at junior level math courses at every university, Linear Algebra is essential for students in almost every technical and analytic discipline .

CoNteNtsPREFACEChapter 1: Systems of Linear EquationsChapter 2: Matrix AlgebraChapter 3: DeterminantsChapter 4: VectorsChapter 5: Vector SpacesChapter 6: Inner Product SpacesChapter 7: Linear TransformationsChapter 8: The Eigenvalue ProblemChapter 9: Special MatricesChapter 10: Matrix DecompositionFinal ExamHints And SolutionsReferencesIndex

SCHAUM’S EASY OUTLINES: LINEAR ALGEBRABy Seymour Lipschutz, Temple University - Philadelphia Marc Lipson, University of Georgia2003ISBN-13: 978-0-07-139880-0 / MHID: 0-07-139880-5A Schaum’s PublicationWhat could be better than the bestselling Schaum’s Outline series? For students looking for a quick nuts-and-bolts overview, it would have to be Schaum’s Easy Outline series . Every book in this series is a pared-down, simplified, and tightly focused version of its predecessor. With an emphasis on clarity and brevity, each new title features a streamlined and updated formatº and the absolute essence of the subject, presented in a concise and readily understandable form . Graphic elements such as sidebars, reader-alert icons, and boxed highlights stress selected points from the text, illuminate keys to learning, and give students quick pointers to the essentials .

SCHAUM’S 3,000 SOLVED PROBLEMS IN LINEAR ALGEBRABy Seymour Lipschultz, Temple University1989 / 496 pages ISBN-13: 978-0-07-038023-3 / MHID: 0-07-038023-6A Schaum’s PublicationCoNteNtsVectors in R and C .Matrix Algebra .Systems of Linear Equations .Square Matrices .Determinants .Algebraic Structures .Vector Spaces and Subspaces .Linear Dependence, Basis, Dimension .Mappings .Linear Mappings .Spaces of Linear Mappings .Matrices and Linear Mappings .Change of Basis, Similarity .Inner Product Spaces, Orthogonality .Polynomials Over a Field .Eigenvalues and Eigenvectors .Diagonalization .Canonical Forms .Linear Functional and the Dual Space .Bilinear, Quadratic, and Hermitian Forms .Linear Operators on Inner Product Spaces .Applications to Geometry and Calculus .






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Combinatorics


INTRODUCTION TO ENUMERATIVE COMBINATORICSBy Miklos Bona, University Of Florida @ Gainesville2007 (September 2005) / 533 pages / HardcoverISBN-13: 978-0-07-312561-9 / MHID: 0-07-312561-XISBN-13: 978-0-07-125415-1 / MHID: 0-07-125415-3 [IE]

Written by one of the leading authors and researchers in the field, this comprehensive modern text is written for one- or two-semester undergraduate courses in General Combinatorics or Enumerative Combinatorics taken by math and computer science majors . Introduction to Enumerative Combinatorics features a strongly-developed focus on enumeration, a vitally important area in introductory combinatorics crucial for further study in the field. Miklós Bóna’s text is one of the very first enumerative combinatorics books written specifically for the needs of an undergraduate audience, with a lively and engaging style that is ideal for presenting the material to sophomores or juniors . This text is part of the Walter Rudin Student Series in Advanced Mathematics .

CoNteNtsForeword .Preface .Acknowledgments .I How: Methods.1 Basic Methods.1 .1 When We Add and When We Subtract1 .1 .1 When We Add1 .1 .2 When We Subtract1 .2 When We Multiply1 .2 .1 The Product Principle1 .2 .2 Using Several Counting Principles1 .2 .3 When Repetitions Are Not Allowed1 .3 When We Divide1 .3 .1 The Division Principle1 .3 .2 Subsets1 .4 Applications of Basic Counting Principles1 .4 .1 Bijective Proofs1 .4 .2 Properties of Binomial Coefficients1 .4 .3 Permutations With Repetition .1 .5 The Pigeonhole Principle1 .6 Notes1 .7 Chapter Review1 .8 Exercises1 .9 Solutions to Exercises1 .10 Supplementary Exercises .2 Direct Applications of Basic Methods2 .1 Multisets and Compositions 2 .1 .1 Weak Compositions2 .1 .2 Compositions2 .2 Set Partitions2 .2 .1 Stirling Numbers of the Second Kind2 .2 .2 Recurrence Relations for Stirling Numbers of the Second Kind2 .2 .3 When the Number of Blocks Is Not Fixed2 .3 Partitions of Integers2 .3 .1 Nonincreasing Finite Sequences of Integers2 .3 .2 Ferrers Shapes and Their Applications2 .3 .3 Excursion: Euler’s Pentagonal Number Theorem2 .4 The Inclusion-Exclusion Principle2 .4 .1 Two Intersecting Sets2 .4 .2 Three Intersecting Sets2 .4 .3 Any Number of Intersecting Sets2 .5 The Twelvefold Way2 .6 Notes

2 .7 Chapter Review2 .8 Exercises2 .9 Solutions to Exercises2 .10 Supplementary Exercises3 Generating Functions3 .1 Power Series3 .1 .1 Generalized Binomial Coefficients3 .1 .2 Formal Power Series3 .2 Warming Up: Solving Recursions3 .2 .1 Ordinary Generating Functions3 .2 .2 Exponential Generating Functions3 .3 Products of Generating Functions3 .3 .1 Ordinary Generating Functions3 .3 .2 Exponential Generating Functions3 .4 Excursion: Composition of Two Generating Functions3 .4 .1 Ordinary Generating Functions3 .4 .2 Exponential Generating Functions3 .5 Excursion: A Different Type of Generating Function3 .6 Notes3 .7 Chapter Review3 .8 Exercises3 .9 Solutions to Exercises3 .10 Supplementary Exercises .II What: Topics.4 Counting Permutations4 .1 Eulerian Numbers4 .2 The Cycle Structure of Permutations4 .2 .1 Stirling Numbers of the First Kind4 .2 .2 Permutations of a Given Type 4 .3 Cycle Structure and Exponential Generating Functions4 .4 Inversions 4 .4 .1 Counting Permutations with Respect to Inversions4 .5 Notes4 .6 Chapter Review4 .7 Exercises4 .8 Solutions to Exercises4 .9 Supplementary Exercises5 Counting Graphs5 .1 Counting Trees and Forests5 .1 .1 Counting Trees5 .2 The Notion of Graph Isomorphisms5 .3 Counting Trees on Labeled Vertices5 .3 .1 Counting Forests5 .4 Graphs and Functions5 .4 .1 Acyclic Functions5 .4 .2 Parking Functions5 .5 When the Vertices Are Not Freely Labeled5 .5 .1 Rooted Plane Trees5 .5 .2 Binary Plane Trees5 .6 Excursion: Graphs on Colored Vertices5 .6 .1 Chromatic Polynomials5 .6 .2 Counting k-colored Graphs5 .7 Graphs and Generating Functions5 .7 .1 Generating Functions of Trees5 .7 .2 Counting Connected Graphs5 .7 .3 Counting Eulerian Graphs5 .8 Notes5 .9 Chapter Review5 .10 Exercises5 .11 Solutions to Exercises5 .12 Supplementary Exercises6 Extremal Combinatorics6 .1 Extremal Graph Theory6 .1 .1 Bipartite Graphs6 .1 .2 Tur´an’s Theorem6 .1 .3 Graphs Excluding Cycles6 .1 .4 Graphs Excluding Complete Bipartite Graphs6 .2 Hypergraphs6 .2 .1 Hypergraphs with Pairwise Intersecting Edges6 .2 .2 Hypergraphs with Pairwise Incomparable Edges6 .3 Something Is More Than Nothing: Existence Proofs

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6 .3 .1 Property B6 .3 .2 Excluding Monochromatic Arithmetic Progressions6 .3 .3 Codes Over Finite Alphabets6 .4 Notes6 .5 Chapter Review6 .6 Exercises6 .7 Solutions to Exercises6 .8 Supplementary Exercises .III What Else: Special Topics.7 Symmetric Structures7 .1 Hypergraphs with Symmetries7 .2 Finite Projective Planes7 .2 .1 Excursion: Finite Projective Planes of Prime Power Order7 .3 Error-Correcting Codes7 .3 .1 Words Far Apart7 .3 .2 Codes from Hypergraphs7 .3 .3 Perfect Codes7 .4 Counting Symmetric Structures7 .5 Notes7 .6 Chapter Review7 .7 Exercises7 .8 Solutions to Exercises7 .9 Supplementary Exercises8 Sequences in Combinatorics8 .1 Unimodality8 .2 Log-Concavity8 .2 .1 Log-Concavity Implies Unimodality8 .2 .2 The Product Property8 .2 .3 Injective Proofs8 .3 The Real Zeros Property8 .4 Notes8 .5 Chapter Review8 .6 Exercises8 .7 Solutions to Exercises8 .8 Supplementary Exercises9 Counting Magic Squares and Magic Cubes9 .1 An Interesting Distribution Problem9 .2 Magic Squares of Fixed Size9 .2 .1 The Case of n = 39 .2 .2 The Function Hn(r) for Fixed n9 .3 Magic Squares of Fixed Line Sum9 .4 Why Magic Cubes Are Different9 .5 Notes9 .6 Chapter Review9 .7 Exercises9 .8 Supplementary Exercises .A The Method of Mathematical Induction.A .1 Weak InductionA .2 Strong Induction ReferencesIndexList of Frequently Used Notation

LogicSCHAUM’S EASY OUTLINE OF LOGICBy John Nolt, University of Tennessee, Dennis Rohatyn, University of San Diego and Achille Varzi, Columbia University-New York2006 (September 2005) / 160pagesISBN-13: 978-0-07-145535-0 / MHID: 0-07-145535-3A Schaum’s PublicationPared-down, simplified, and tightly focused, Schaum’s Easy Outline of Logic is perfect for anyone turned off by dense text . Cartoons, sidebars, icons, and other graphic pointers get the material across fast, and concise text focuses on the essence of logic . This is the ideal book for last-minute test preparation .

Advanced Engineering Mathematics

HIGHER ENGINEERING MATHEMATICSBy B.V. Ramana, JNTU College of Engineering-Kakinada2006 (July 2006) / 1312 pagesMHID: 978-0-07-063419-0 / MHID: 0-07-063419-XMcGraw-Hill India Title

This comprehensive text on Higher Engineering Mathematics covers the syllabus of all the Mathematics papers offered to the undergraduate students . The huge chest of solved examples help the students learn about a variety of problems & the procedure to solve them . Additional practice problems/exercises facilitate testing their understanding of the subject .

CoNteNtsPart A: PreliminariesChapter 1 . Vector Algebra, Theory of Equations, Complex NumbersPart B: Differential and Integral CalculusChapter 2 . Differential CalculusChapter 3 . Partial DifferentiationChapter 4 . Maxima and MinimaChapter 5 . Curve TracingChapter 6 . Integral Calculus: ApplicationsChapter 7 . Multiple IntegralsPart C: Ordinary Differential EquationsChapter 8 . Ordinary Differential Equations: First Order with ApplicationsChapter 9 . Ordinary Differential Equations: Second and higher orders with ApplicationsChapter 10 . Series SolutionsChapter 11 . Special FunctionsChapter 12 . Laplace TransformPart D: Linear Algebra and Vector CalculusChapter 13 . MatricesChapter 14 . Eigen Values and Eigen VectorsChapter 15 . Vector Differential CalculusChapter 16 . Vector Integral CalculusPart E: Fourier Analysis and Partial Differential EquationsChapter 17 . Fourier SeriesChapter 18 . Partial Differential EquationsChapter 19 . Applications of PDEChapter 20 . Fourier Integral and Fourier TransformChapter 21. FINITE DIFFERENCES and Z-TRANSFORMS Part F: Complex AnalysisChapter 22 . Complex FunctionsChapter 23 . Complex IntegrationChapter 24 . Theory of Residues

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Chapter 25 . Conformal MappingPart G: Probability and StatisticsChapter 26 . Probability TheoryChapter 27 . Probability DistributionsChapter 28 . Sampling Distributions (SD)Chapter 29 . Inferences concerning means and proportionsChapter 30 . Line & Curve Fitting, Correlation and RegressionChapter 31 . Joint Probability Distribution and Markov ChainsPart H: Numerical AnalysisChapter 32 . Numerical AnalysisChapter 33 . Numerical Solutions of ODE and PDEAppendicesA1: Basic ResultsA2: Statistical TablesA3: BibliographyA4: Index


SCHAUM’S OUTLINE OF ADVANCED MATHEMATICS FOR ENGINEERS AND SCIENTISTS, SI METRICBy Murray R Spiegel, Rensselaer Polytechnic Institute1971 / 416 pages ISBN-13: 978-0-07-060216-8 / MHID: 0-07-060216-6 (Non SI Metric)ISBN-13: 978-0-07-099064-7 / MHID: 0-07-099064-6 [IE, SI Metric]A Schaum’s Publication


CoNteNtsReview of Fundamental Concepts Ordinary Differential Equations Linear Differential Equations Laplace Transforms Vector Analysis Multiple, Line, and Surface Integrals and Integral Theorems Fourier Series Fourier Integrals Gamma, Beta, and Other Special Functions Bessel Functions Lengendre Functions and Other Orthogonal Functions of Partial Differential Equations Complex Variables and Conformal Mapping Complex Inversion Formula for Laplace Transforms Matrices Calculus of Variations

Dynamical System


SCHAUM’S OUTLINE OF VECTOR ANALYSISBy Murray R Spiegel, deceased1968 / 240 pagesISBN-13: 978-0-07-060228-1 / MHID: 0-07-060228-XISBN-13: 978-0-07-099009-8 / MHID: 0-07-099009-3 [IE]A Schaum’s Publication


CoNteNtsVectors and Scalars The Dot and Cross Product Vector Differentiation Gradient, Divergence and Curl Vector Integration The Divergence Theorem, Stokes’s Theorem, and Related Integral Theorems Curvilinear Coordinates Tensor Analysis

Graph Theory


INTRODUCTION TO GRAPH THEORYBy Gary Chartrand, Western Michigan University—Kalamazoo and Ping Zhang, Western Michigan University—Kalamazoo2005 (May 2004) / 464 pages ISBN-13: 978-0-07-320416-1 / MHID: 0-07-320416-1ISBN-13: 978-0-07-123822-9 / MHID: 0-07-123822-0 [IE]

CoNteNts1. Introduction:Graphs and Graph Models . Connected Graphs . Common Classes of Graphs .2. Degrees:The Degree of a Vertex . Regular Graphs . Degree Sequences . Excursion: Graphs and Matrices . Exploration: Irregular Graphs .3. Isomorphic Graphs:The Definition of Isomorphisms . Isomorphism as a Relation . Excursion: Recognition, Reconstruction, Solvability . Excursion: Graphs and Groups .4. Trees:Bridges . Trees . The Minimum Spanning Tree Problem . Excursion: The Number of Spanning Trees . Exploration: Comparing Trees .5. Connectivity:Cut-Vertices . Blocks . Connectivity . Menger’s Theorem . Exploration: Geodetic Sets .6. Traversability:Eulerian Graphs . Hamiltonian Graphs . Exploration: Hamiltonian Walks and Numbers . Excursion: The Early Books of Graph Theory .7. Digraphs:Strong Digraphs . Tournaments . Excursion: How to Make Decisions . Exploration: Wine Bottle Problems .8. Matchings and Factorization:Matchings . Factorizations . Decompositions and Graceful Labelings .

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Excursion: Instant Insanity . Excursion: The Petersen Graph . Exploration: -Labeling of Graphs .9. Planarity:Planar Graphs . Embedding Graphs on Surfaces . Excursion: Graphs Minors . Exploration: Embedding Graphs in Graphs .10. Coloring Graphs:The Four Color Problem . Vertex Coloring . Edge Coloring . Excursion: The Heawood Map-Coloring Theorem . Exploration: Local Coloring .11. Ramsey Numbers:The Ramsey Number of Graphs . Turan’s Theorem . Exploration: Rainbow Ramsey Numbers . Excursion: Erd?umbers .12. Distance:The Center of a Graph . Distant Vertices . Excursion: Locating Numbers . Excursion: Detour Distance and Directed Distance . Exploration: The Channel Assignment Problem . Exploration: Distance Between Graphs .13. Domination:The Domination Number of a Graph . Exploration: Stratification . Exploration: Lights Out . Excursion: And Still It Grows More Colorful .Appendix 1 . Sets and Logic .Appendix 2 . Equivalence Relations and Functions .Appendix 3 . Methods of Proof .Answers and Hints to Odd-Numbered Exercises .References .Index of Symbols .Index of Mathematical Terms


APPLIED AND ALGORITHMIC GRAPH THEORYBy Gary Chartrand, Western Michigan University, and Ortrud Oellermann, University of Natal, South Africa1993 / 432 pages ISBN-13: 978-0-07-557101-8 / MHID: 0-07-557101-3 (Out-of-Print)ISBN-13: 978-0-07-112575-8 / MHID: 0-07-112575-2 [IE]

CoNteNts1 An Introduction to Graphs2 An Introduction to Algorithms3 Trees4 Paths and Distance and Graphs5 Networks6 Matchings and Factorizations7 Eulerian Graphs8 Hamiltonian Graphs9 Planar Graphs10 Coloring Graphs11 Digigraphs12 Extremal Graph Theory

SCHAUM’S OUTLINE OF GRAPH THEORY: INCLUDING HUNDREDS OF SOLVED PROBLEMSBy V K Balakrishnan, University of Maine1997 / 288 pages ISBN-13: 978-0-07-005489-9 / MHID: 0-07-005489-4A Schaum’s PublicationCoNteNtsGraphs and Digraphs .Connectivity .Eulerian and Hamiltonian Graphs .Optimization Involving Trees .Shortest Path Problems .Flow and Connectivity .Planarity and Duality .Graph Colorings .Additional Topics .List of Technical Terms and Symbols Used .

SCHAUM’S OUTLINE OF COMBINATORICSBy V K Balakrishnan, University of Maine1995 / 320 pages ISBN-13: 978-0-07-003575-1 / MHID: 0-07-003575-XA Schaum’s PublicationCoNteNtsThe Sum Rule and the Product Rule .Permutations and Combinations .The Pigeonhole Principle .Generalized Permutations and Combinations .Sequences and Selections .The Inclusion-Exclusion Principle .Generating Functions and Partitions of Integers .The Distribution Problem in Combinatorics .Recurrence Relations .Group Theory in Combinatorics--Including The Burnside-Froberius Theorem .Permutation Groups and Their Cycles Indices and Polya’s Enumeration Theorems .

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Introductory Analysis


INTRODUCTION TO MATHEMATICAL ANALYSISBy William Parzynski, Philip Zipse both of Montclair State College 1982 / 352 pages ISBN-13: 978-0-07-048845-8 / MHID: 0-07-048845-2 (Out-of-Print)ISBN-13: 978-0-07-066467-8 / MHID: 0-07-066467-6 [IE]

CoNteNts1 Real Numbers and Functions 2 Sequences and Sets of Real Numbers 3 Functions and Limits 4 Continuous Functions 5 Differentiable Functions 6 The Riemann Integral 7 Sequences and Series of Functions 8 Differentiable Functions of Several Variables 9 Multiple Integrals 10 Metric Spaces Solutions and Hints to Selected Exercises Index


PRINCIPLES OF MATHEMATICAL ANALYSISThird EditionBy Walter Rudin, University of Wisconsin-Madison1976 / 325 pages ISBN-13: 978-0-07-054235-8 / MHID: 0-07-054235-XISBN-13: 978-0-07-085613-4 / MHID: 0-07-085613-3 [IE]

CoNteNtsCHAPTER 1: The Real Numbers:Section 1 .1 Sets .Section 1 .2 Functions .Section 1 .3 Algebraic and order properties .Section 1 .4 The positive integers .Section 1 .5 The least upper bound axiom .Chapter 2: Sequences:Section 2 .1 Sequences and limits .Section 2 .2 Limit theorems .Section 2 .3 Monotonic sequences .Section 2 .4 Sequences defined inductively .Section 2 .5 Sequences, Cauchy sequences .Section 2 .6 Infinite limits .Chapter 3: Functions and Continuity:Section 3 .1 Limit of a function .Section 3 .2 Limit theorems .Section 3 .3 Other limits .Section 3 .4 Continuity .Section 3 .5 Intermediate values, extreme values .Section 3 .6 Uniform continuity .Chapter 4: The Derivative:Section 4 .1 Definition of the derivative .Section 4 .2 Rules for differentiation .Section 4 .3 The Mean Value Theorem .Section 4 .4 Inverse functions .Chapter 5: The Integral:Section 5 .1 The definition of the integral .

Section 5 .2 Properties of the integral .Section 5 .3 Existence theory .Section 5 .4 The Fundamental Theorem of Calculus .Section 5 .5 Improper integrals .Chapter 6: Infinite Series:Section 6 .1 Basic theory .Section 6 .2 Absolute convergence .Section 6 .3 Power series .Section 6 .4 Taylor series .Chapter 7: Sequences and Series of Functions:Section 7 .1 Uniform convergence .Section 7 .2 Consequences of uniform convergence .Section 7 .3 Two examples .Solutions and Hints for Selected Problems .Index

History Of Mathematics


THE HISTORY OF MATHEMATICS AN INTRODUCTIONSixth EditionBy David M. Burton, University Of New Hampshire2007 (November 2005) / 752 pages / HardcoverISBN-13: 978-0-07-305189-5 / MHID: 0-07-305189-6 ISBN-13: 978-0-07-125389-5 / MHID: 0-07-125389-0 [IE]

The History of Mathematics: An Introduction, Sixth Edition, is written for the one- or two-semester math history course taken by juniors or seniors, and covers the history behind the topics typically covered in an undergraduate math curriculum or in elementary schools or high schools . Elegantly written in David Burton’s imitable prose, this classic text provides rich historical context to the mathematics that undergrad math and math education majors encounter every day . Burton illuminates the people, stories, and social context behind mathematics’ greatest historical advances while maintaining appropriate focus on the mathematical concepts themselves . Its wealth of information, mathematical and historical accuracy, and renowned presentation make The History of Mathematics: An Introduction, Sixth Edition a valuable resource that teachers and students will want as part of a permanent library .

CoNteNtsPreface .1 Early Number Systems and Symbols1 .1 Primitive Counting . A Sense of Number . Notches as Tally Marks . The Peruvian Quipus: Knots as Numbers .1 .2 Number Recording of the Egyptians and Greeks . The History of Herodotus . Hieroglyphic Representation of Numbers . Egyptian Hieratic Numeration . The Greek Alphabetic Numeral System .1 .3 Number Recording of the Babylonians . Babylonian Cuneiform Script . Deciphering Cuneiform: Grotefend and Rawlinson . The Babylonian Positional Number System . Writing in Ancient China .2 Mathematics in Early Civilizations2 .1 The Rhind Papyrus . Egyptian Mathematical Papyri . A Key To Deciphering: The Rosetta Stone2 .2 Egyptian Arithmetic . Early Egyptian Multiplication . The Unit Fraction Table . Representing Rational Numbers2 .3 Four Problems from the Rhind Papyrus . The Method of False Position . A Curious Problem . Egyptian Mathematics as Applied Arithmetic .

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2 .4 Egyptian Geometry . Approximating the Area of a Circle . The Volume of a Truncated Pyramid . Speculations About the Great Pyramid2 .5 Babylonian Mathematics . A Tablet of Reciprocals . The Babylonian Treatment of Quadratic Equations . Two Characteristic Babylonian Problems .2 .6 Plimpton . A Tablet Concerning Number Triples . Babylonian Use of the Pythagorean Theorem . The Cairo Mathematical Papyrus .3 The Beginnings of Greek Mathematics3 .1 The Geometric Discoveries of Thales . Greece and the Aegean Area . The Dawn of Demonstrative Geometry: Thales of Miletos . Measurements Using Geometry .3 .2 Pythagorean Mathematics . Pythagoras and His Followers . Nichomachus’ Introductio Arithmeticae . The Theory of Figurative Numbers . Zeno’s Paradox3 .3 The Pythagorean Problem . Geometric Proofs of the Pythagorean Theorem . Early Solutions of the Pythagorean Equation . The Crisis of Incommensurable Quantities . Theon’s Side and Diagonal Numbers Eudoxus of Cnidos .3 .4 Three Construction Problems of Antiquity . Hippocrates and the Quadrature of the Circle . The Duplication of the Cube . The Trisection of an Angle .3 .5 The Quadratrix of Hippias . Rise of the Sophists . Hippias of Elis . The Grove of Academia: Plato’s Academy .4 The Alexandrian School: Euclid.4 .1 Euclid and the Elements . A Center of Learning: The Museum . Euclid’s Life and Writings .4 .2 Euclidean Geometry . Euclid’s Foundation for Geometry . Book I of the Elements . Euclid’s Proof of the Pythagorean Theorem . Book II on Geometric Algebra . Construction of the Regular Pentagon .4 .3 Euclid’s Number Theory . Euclidean Divisibility Properties . The Algorithm of Euclid . The Fundamental Theorem of Arithmetic . An Infinity of Primes .4 .4 Eratosthenes, the Wise Man of Alexandria . The Sieve of Eratosthenes . Measurement of the Earth . The Almagest of Claudius Ptolemy . Ptolemy’s Geographical Dictionary .4 .5 Archimedes . The Ancient World’s Genius . Estimating the Value of . The Sand-Reckoner Quadrature of a Parabolic Segment . Apollonius of Perga: the Conics .5 The Twilight of Greek Mathematics: Diophantus.5 .1 The Decline of Alexandrian Mathematics . The Waning of the Golden Age . The Spread of Christianity . Constantinople, A Refuge for Greek Learning .5 .2 The Arithmetica . Diophantus’s Number Theory . Problems from the Arithmetica .5 .3 Diophantine Equations in Greece, India and China . The Cattle Problem of Archimedes . Early Mathematics in India . The Chinese Hundred Fowls Problem .5 .4 The Later Commentators . The Mathematical Collection of Pappus . Hypatia, the First Woman Mathematician . Roman Mathematics: Boethius and Cassiodorus .5 .5 Mathematics in the Near and Far East . The Algebra of al-Khowârizmî . Abû Kamil and Thâbit ibn Qurra . Omar Khayyam The Astronomers al-Tusi and al-Karashi . The Ancient Chinese Nine Chapters . Later Chinese Mathematical Works .6 The First Awakening: Fibonacci.6 .1 The Decline and Revival of Learning . The Carolingian Pre-Renaissance . Transmission of Arabic Learning to the West . The Pioneer Translators: Gerard and Adelard .6 .2 The Liber Abaci and Liber Quadratorum . The Hindu-Arabic Numerals . Libonacci’s Liver Quadratorum . The Works of Jordanus de Nemore .6 .3 The Fibonacci Sequence . The Liber Abaci’s Rabbit Problem . Some Properties of Fibonacci Numbers .6 .4 Fibonacci and the Pythagorean Problem . Pythagorean Number Triples . Fibonacci’s Tournament Problem .7 The Renaissance of Mathematics: Cardan and Tartaglia.7 .1 Europe in the Fourteenth and Fifteenth Centuries . The Italian Renaissance . Artificial Writing: The Invention of Printing . Founding of the Great Universities A Thirst for Classical Learning .

7 .2 The Battle of the Scholars . Restoring the Algebraic Tradition: Robert Recorde . The Italian Algebraists: Pacioli, del Ferro and Tartaglia . Cardan, A Scoundrel Mathematician7 .3 Cardan’s Ars Magna . Cardan’s Solution of the Cubic Equation . Bombelli and Imaginary Roots of the Cubic .7 .4 Ferrari’s Solution of the Quartic Equation . The Resolvant Cubic . The Story of the Quintic Equation: Ruffini, Abel and Galois .8 The Age of Descartes and Newton.8 .1 The Dawn of Modern Mathematics . The 17th Century Spread of Knowledge . Galileo’s Telescopic Observations . The Beginning of Modern Notation: Francois Vièta . The Decimal Fractions of Simon Steven . Napier’s Invention of Logarithms . The Astronomical Discoveries of Brahe and Kepler .8 .2 Descartes: The Discours de la Méthod . The Writings of Descartes . Inventing Cartesian Geometry . The Algebraic Aspect of La Géometrie . Descartes’ Principia Philosophia . Perspective Geometry: Desargues and Poncelet .8 .3 Newton: The Principia Mathematica . The Textbooks of Oughtred and Harriot . Wallis’ Arithmetica Infinitorum . The Lucasian Professorship: Barrow and Newton . Newton’s Golden Years . The Laws of Motion . Later Years: Appointment to the Mint .8 .4 Gottfried Leibniz: The Calculus Controversy . The Early Work of Leibniz . Leibniz’s Creation of the Calculus . Newton’s Fluxional Calculus . The Dispute over Priority . Maria Agnesi and Emilie du Châtelet .9 The Development of Probability Theory: Pascal, Bernoulli, and Laplace.9 .1 The Origins of Probability Theory . Graunt’s Bills of Mortality . James of Chance: Dice and Cards . The Precocity of the Young Pascal . Pascal and the Cycloid . De Méré’s Problem of Points .9 .2 Pascal’s Arithmetic Triangle . The Traité du Triangle Arithmétique . Mathematical Induction . Francesco Maurolico’s Use of Induction .9 .3 The Bernoullis and Laplace . Christiaan Huygens’s Pamphlet on Probability . The Bernoulli Brothers: John and James . De Moivre’s Doctrine of Chances The Mathematics of Celestial Phenomena: Laplace . Mary Fairfax Somerville . Laplace’s Research on Probability Theory . Daniel Bernoulli, Poisson and Chebyshev .10 The Revival of Number Theory: Fermat, Euler, and Gauss.10 .1 Martin Mersenne and the Search for Perfect Numbers . Scientific Societies Marin Mersenne’s Mathematical Gathering . Numbers, Perfect and Not So Perfect .10 .2 From Fermat to Euler . Fermat’s Arithmetica . The Famous Last Theorem of Fermat . The Eighteenth Century Enlightenment Maclaurin’s Treatise on Fluxions . Euler’s Life and Contributions .10 .3 The Prince of Mathematicians: Carl Friedrich Gauss . The Period of the French Revolution: Lagrange and Monge . Gauss’s Disquisitiones Arithmeticae . The Legacy of Gauss: Congruence Theory . Dirichlet and Jacobi .11 Nineteenth-Century Contributions: Lobachevsky to Hilbert.11 .1 Attempts to Prove the Parallel Postulate . The Efforts of Proclus, Playfair and Wallis . Saccheri Quadrilaterals . The Accomplishments of Legendre . Legendre’s Eléments de géometrie .11 .2 The Founders of Non-Euclidean Geometry . Gauss’s Attempt at a New Geometry . The Struggle of John Bolyai . Creation of Non-Euclidean Geometry: Lobachevsky . Models of the New Geometry: Riemann, Beltrami and Klein . Grace Chisholm Young11 .3 The Age of Rigor . D’Alembert and Cauchy on Limits . Fourier’s Series . The Father of Modern Analysis, Weierstrass . Sonya Kovalevsky . The Axiomatic Movement: Pasch and Hilbert11 .4 Arithmetic Generalized . Babbage and the Analytical Engine . Peacock’s Treatise on Algebra . The Representations of Complex Numbers . Hamilton’s Discovery of Quaternions . Matrix Algebra: Cayley and Sylvester . Boole’s Algebra of Logic12 Transition to the Twenthieth Century12 .1 The Emergence of American Mathematics . Ascendency of the German Universities . American Mathematics Takes Root: 1800-1900 . The Twentieth Century Consolidation12 .2 Counting the Infinite . The Last Universalist: Poincaré . Cantor’s Theory of Infinite Sets . Kronecker’s View of Set Theory . Countable and Uncountable Sets . Transcendental Numbers . The Continuum Hypothesis

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12 .3 The Paradoxes of Set Theory . The Early Paradoxes . Zermelo and the Axiom of Choice . The Logistic School: Frege, Peano and Russell . Hilbert’s Formalistic Approach: Brouwer’s Intuitionism .13 Extensions and Generalizations: Hardy, Hausdorff, and Noether.13 .1 Hardy and Ramanujan . The Tripos Examination . The Rejuvenation of English Mathematics . A Unique Collaboration: Hardy and Littlewood . India’s Prodigy, Ramanujan13 .2 The Beginnings of Point-Set Topology . Frechet’s Metric Spaces . The Neighborhood Spaces of Hausdorff . Banach and Normed Linear Spaces .13 .3 Some Twentieth-Century Developments . Emmy Noether’s Theory of Rings . Von Neumann and the Computer . Women in Modern Mathematics . A Few Recent Advances . General Bibliography . Additional Reading . The Greek Alphabet Solutions to Selected Problems . Index

Numerical Analysis


ELEMENTARY NUMERICAL ANALYSISAn Algorithmic Approach, Third EditionBy Samuel D. Conte, Purdue University, Carl de Boor, University of Wisconsin-Madison1980 / 408 pages ISBN-13: 978-0-07-012447-9 / MHID: 0-07-012447-7 (Out-of-Print)ISBN-13: 978-0-07-066228-5 / MHID: 0-07-066228-2 [IE]

CoNteNts1 Number Systems and Errors 2 Interpolation by Polynomial 3 The Solution of Nonlinear Equations 4 Matrices and Systems of Linear Equations 5 Systems of Equations and Unconstrained Optimization 6 Approximation 7 Differentiation and Integration 8 The Solution of Differential Equations 9 Boundary Value Problems Appendix: Subroutine Libraries References Index

SCHAUM’S OUTLINE OF NUMERICAL ANALYSISSecond EditionBy Francis Scheid, Boston University 1988 / 471 pagesISBN-13: 978-0-07-055221-0 / MHID: 0-07-055221-5A Schaum’s PublicationCoNteNtsWhat Is Numerical Analysis?The Collocation Polynomial .Finite Differences .Factorial Polynomials .Summation .The Newton Formula .Operators and Collocation Polynomials .Unequally-Spaced Arguments .Splines .Osculating Polynomials .The Taylor Polynomial .Interpolation .Numerical Differentiation .Numerical Integration .Gaussian Integration .Singular Integrals .Sums and Series .Difference Equations .Differential Equations .Differential Problems of Higher Order .Least-Squares Polynomial Approximation .Min-Max Polynomial Approximation .Approximation By Rational Functions .Trigonometric Approximation .Nonlinear Algebra .Linear Systems .Linear Programming .Overdetermined Systems .Boundary Value Problems .Monte Carlo Methods .

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Number Theory


ELEMENTARY NUMBER THEORYSixth EditionBy David M. Burton, University Of New Hampshire2007 (October 2005) / 528 pages / HardcoverISBN-13: 978-0-07-305188-8 / MHID: 0-07-305188-8 ISBN-13: 978-0-07-124425-1 / MHID: 0-07-124425-5 [IE]

Elementary Number Theory, Sixth Edition, is written for the one-semester undergraduate number theory course taken by math majors, secondary education majors, and computer science students . This contemporary text provides a simple account of classical number theory, set against a historical background that shows the subject’s evolution from antiquity to recent research . Written in David Burton’s engaging style, Elementary Number Theory reveals the attraction that has drawn leading mathematicians and amateurs alike to number theory over the course of history .

CoNteNtsPreface . New To This Edition .1 Preliminaries1 .1 Mathematical Induction1 .2 The Binomial Theorem2 Divisibility Theory in the Integers2 .1 Early Number Theory2 .1 The Division Algorithm2 .2 The Greatest Common Divisor2 .3 The Euclidean Algorithm2 .4 The Diophantine Equation ax + by = c3 Primes and Their Distribution3 .1 The Fundamental Theorem of Arithmetic3 .2 The Sieve of Eratosthenes3 .3 The Goldbach Conjecture4 The Theory of Congruences4 .1 Carl Friedrich Gauss4 .2 Basic Properties of Congruence4 .3 Binary and Decimal Representations of Integers4 .4 Linear Congruences and the Chinese Remainder Theorem5 Fermat’s Theorem5 .1 Pierre de Fermat5 .2 Fermat’s Little Theorem and Pseudoprimes5 .3 Wilson’s Theorem5 .4 The Fermat-Kraitchik Factorization Method6 Number-Theoretic Functions6 .1 The Sum and Number of Divisors6 .2 The Möbius Inversion Formula6 .3 The Greatest Integer Function6 .4 An Application to the Calendar7 Euler’s Generalization of Fermat’s Theorem7 .1 Leonhard Euler7 .2 Euler’s Phi-Function7 .3 Euler’s Theorem7 .4 Some Properties of the Phi-Function .8 Primitive Roots and Indices8 .1 The Order of an Integer Modulo n8 .2 Primitive Roots for Primes8 .3 Composite Numbers Having Primitive Roots8 .4 The Theory of Indices9 The Quadratic Reciprocity Law9 .1 Euler’s Criterion9 .2 The Legendre Symbol and Its Properties9 .3 Quadratic Reciprocity9 .4 Quadratic Congruences with Composite Moduli10 Introduction to Cryptography10 .1 From Caesar Cipher to Public Key Cryptography10 .2 The Knapsack Cryptosystem

10 .3 An Application of Primitive Roots to Cryptography11 Numbers of Special Form11 .1 Marin Mersenne11 .2 Perfect Numbers11 .3 Mersenne Primes and Amicable Numbers11 .4 Fermat Numbers12 Certain Nonlinear Diophantine Equations12 .1 The Equation x2 + y2 = z2 12 .2 Fermat’s Last Theorem13 Representation of Integers as Sums of Squares13 .1 Joseph Louis Lagrange13 .2 Sums of Two Squares13 .3 Sums of More than Two Squares14 Fibonacci Numbers14 .1 Fibonacci14 .2 The Fibonacci Sequence14 .3 Certain Identities Involving Fibonacci Numbers15 Continued Fractions15 .1 Srinivasa Ramanujan15 .2 Finite Continued Fractions15 .3 Infinite Continued Fractions15 .4 Pell’s Equation16 Some Twentieth-Century Developments.16 .1 Hardy, Dickson, and Erdös16 .2 Primality Testing and Factorization16 .3 An Application to Factoring: Remote Coin Flipping16 .4 The Prime Number Theorem and Zeta Function .Miscellaneous Problems .Appendixes .General References .Suggested Further Reading Tables .Answers to Selected Problems .Index .


ELEMENTARY NUMBER THEORYSecond EditionBy Charles Vanden Eynden, Illinois State University2001 / 288 pagesISBN-13: 978-0-07-232571-3 / MHID: 0-07-232571-2 (Out of Print)ISBN-13: 978-0-07-118193-8 / MHID: 0-07-118193-8 [IE]

CoNteNts0 What is Number Theory?1 Divisibility .2 Prime Numbers .3 Numerical Functions .4 The Algebra of Congruence Classes .5 Congruences of Higher Degree .6 The Number Theory of the Reals .7 Diophantine Equations .

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Abstract AlgebraSCHAUM’S OUTLINE OF MODERN ABSTRACT ALGEBRABy Frank Ayres (deceased)1965 / 256 pages ISBN-13: 978-0-07-002655-1 / MHID: 0-07-002655-6A Schaum’s PublicationCoNteNtsSets .Relations and Operations .The Natural Numbers .The Integers .Some Properties of Integers .The Rational Numbers .The Real Numbers .The Complex Numbers .Groups .Rings .Integral Domains .Division Rings .Fields .Polynomials .Vector Spaces .Matrices .Matrix Polynomials .Linear Algebra .Boolean Algebra .

Advanced GeometrySCHAUM’S OUTLINE OF DIFFERENTIAL GEOMETRYBy Martin M. Lipschutz, Hahnemann Medical College1969 / 288 pages ISBN-13: 978-0-07-037985-5 / MHID: 0-07-037985-8A Schaum’s PublicationCoNteNtsVectors .Vector Functions of Real Variable .Concept of Curve .Curvature and Torsion .Theory of Curves .Elementary Topology in Euclidean Spaces .Vector Functions of Vector Variable .Concept of Curve .First and Second Fundamental Forms .Theory of Surfaces .Tensor Analysis .Intrinsic Geometry .Appendix .Existence Theorem for Curves .Existence Theorem for Surfaces .

Complex Analysis


COMPLEX VARIABLES AND APPLICATIONSEighth Edition

By James Ward Brown, University of Michigan-Dearborn and Ruel V Churchill (deceased)

2009 (January 2008) / 504 pagesISBN-13: 978-0-07-305194-9 / MHID: 0-07-305194-2ISBN-13: 978-0-07-126328-3 / MHID: 0-07-126328-4 [IE]

Complex Variables and Applications, 8e will serve, just as the earlier editions did, as a textbook for an introductory course in the theory and application of functions of a complex variable . This new edition preserves the basic content and style of the earlier editions . The text is designed to develop the theory that is prominent in applications of the subject. You will find a special emphasis given to the application of residues and conformal mappings . To accommodate the different calculus backgrounds of students, footnotes are given with references to other texts that contain proofs and discussions of the more delicate results in advanced calculus . Improvements in the text include extended explanations of theorems, greater detail in arguments, and the separation of topics into their own sections .

New to this editioN

Some sections that can be skipped or postponed without �disruption are more clearly identified . The statements of Taylor’s and Laurent’s theorems, for example, now appear in sections that are separate from the sections containing their proofs .

The treatment of the extended form of the Cauchy integral �formula for derivatives has been completely rewritten, with special attention to its immediate consequences .

Other improvements include more details in arguments involving �mathematical induction, greater emphasis on rules for using complex exponents, some discussion of residues at infinity, and a clearer exposition of real improper integrals and their Cauchy principal values .

Some important material is presented in a more focused way by �placing it in separate sections . For instance, the discussion of upper bounds of moduli of contour integrals is now entirely in one section, and there is a separate section devoted to the definition of isolated singular points .

A revised Student’s Solutions Manual with solutions for a large �number of exercises in Chapters 1-7 is available

CoNteNts1 Complex Numbers Sums and Products Basic Algebraic Properties Further Properties Moduli Complex Conjugates Exponential Form Products and Quotients in Exponential Form Roots of Complex Numbers

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Examples Regions in the Complex Plane2 Analytic Functions Functions of a Complex Variable Mappings Mappings by the Exponential Function Limits Theorems on Limits Limits Involving the Point at Infinity Continuity Derivatives Differentiation Formulas Cauchy–Riemann Equations Sufficient Conditions for Differentiability Polar Coordinates Analytic Functions Examples Harmonic Functions Uniquely Determined Analytic Functions Reflection Principle3 Elementary Functions The Exponential Function The Logarithmic Function Branches and Derivatives of Logarithms Some Identities Involving Logarithms Complex Exponents Trigonometric Functions Hyperbolic Functions Inverse Trigonometric and Hyperbolic Functions4 Integrals Derivatives of Functions w(t) Definite Integrals of Functions w(t) Contours Contour Integrals Examples Upper Bounds for Moduli of Contour Integrals Antiderivatives Examples Cauchy–Goursat Theorem Proof of the Theorem Simply and Multiply Connected Domains Cauchy Integral Formula Derivatives of Analytic Functions Liouville’s Theorem and the Fundamental Theorem of Algebra Maximum Modulus Principle5 Series Convergence of Sequences Convergence of Series Taylor Series Examples Laurent Series Examples Absolute and Uniform Convergence of Power Series Continuity of Sums of Power Series Integration and Differentiation of Power Series Uniqueness of Series Representations Multiplication and Division of Power Series6 Residues and Poles Residues Cauchy’s Residue Theorem Using a Single Residue The Three Types of Isolated Singular Points Residues at Poles Examples Zeros of Analytic Functions Zeros and Poles Behavior of f Near Isolated Singular Points7 Applications of Residues Evaluation of Improper Integrals Example Improper Integrals from Fourier Analysis

Jordan’s Lemma Indented Paths An Indentation Around a Branch Point Integration Along a Branch Cut Definite Integrals Involving Sines and Cosines Argument Principle Rouché’s Theorem Inverse Laplace Transforms Examples8 Mapping by Elementary Functions Linear Transformations The Transformation w = 1/z Mappings by 1/z Linear Fractional Transformations An Implicit Form Mappings of the Upper Half Plane The Transformation w = sin z Mappings by z2 and Branches of z1/2 Square Roots of Polynomials Riemann Surfaces Surfaces for Related Functions9 Conformal Mapping Preservation of Angles Scale Factors Local Inverses Harmonic Conjugates Transformations of Harmonic Functions Transformations of Boundary Conditions10 Applications of Conformal Mapping Steady Temperatures Steady Temperatures in a Half Plane A Related Problem Temperatures in a Quadrant Electrostatic Potential Potential in a Cylindrical Space Two-Dimensional Fluid Flow The Stream Function Flows Around a Corner and Around a Cylinder11 The Schwarz–Christoffel Transformation Mapping the Real Axis onto a Polygon Schwarz–Christoffel Transformation Triangles and Rectangles Degenerate Polygons Fluid Flow in a Channel Through a Slit Flow in a Channel with an Offset Electrostatic Potential about an Edge of a Conducting Plate12 Integral Formulas of the Poisson Type Poisson Integral Formula Dirichlet Problem for a Disk Related Boundary Value Problems Schwarz Integral Formula Dirichlet Problem for a Half Plane Neumann ProblemsAppendixes Bibliography Table of Transformations of Regions Index

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REAL AND COMPLEX ANALYSISThird EditionBy Walter Rudin, University of Wisconsin1987 / 483 pages ISBN-13: 978-0-07-054234-1 / MHID: 0-07-054234-1ISBN-13: 978-0-07-100276-9 / MHID: 0-07-100276-6 [IE]

CoNteNtsPreface .Prologue: The Exponential Function .Chapter 1: Abstract Integration:Set-theoretic notations and terminology . The concept of measurability . Simple functions . Elementary properties of measures . Arithmetic in [0, infinity] . Integration of positive functions . Integration of complex functions . The role played by sets of measure zero . Exercises .Chapter 2: Positive Borel Measures:Vector spaces . Topological preliminaries . The Riesz representation theorem . Regularity properties of Borel measures . Lebesgue measure . Continuity properties of measurable functions . Exercises .Chapter 3: L^p-Spaces:Convex functions and inequalities . The L^p-spaces . Approximation by continuous functions . Exercises .Chapter 4: Elementary Hilbert Space Theory:Inner products and linear functionals . Orthonormal sets . Trigonometric series . Exercises .Chapter 5: Examples of Banach Space Techniques:Banach spaces . Consequences of Baire’s theorem . Fourier series of continuous functions . Fourier coefficients of L-functions . The Hahn-Banach theorem . An abstract approach to the Poisson integral . Exercises .Chapter 6: Complex Measures:Total variation . Absolute continuity . Consequences of the Radon-Nikodym theorem . Bounded linear functionals on L^p . The Riesz representation theorem . Exercises .Chapter 7: Differentiation:Derivatives of measures . The fundamental theorem of Calculus . Differentiable transformations . Exercises .Chapter 8: Integration on Product Spaces:Measurability on cartesian products . Product measures . The Fubini theorem . Completion of product measures . Convolutions . Distribution functions . Exercises .Chapter 9: Fourier Transforms:Formal properties . The inversion theorem . The Plancherel theorem . The Banach algebra L . Exercises .Chapter 10: Elementary Properties of Holomorphic Functions:Complex differentiation . Integration over paths . The local Cauchy theorem . The power series representation . The open mapping theorem . The global Cauchy theorem . The calculus of residues . Exercises .Chapter 11: Harmonic Functions:The Cauchy-Riemann equations . The Poisson integral . The mean value property . Boundary behavior of Poisson integrals . Representation theorems . Exercises .Chapter 12: The Maximum Modulus Principle:Introduction . The Schwarz lemma . The Phragmen-Lindel’s Method . An interpolation theorem . A converse of the maximum modulus theorem . Exercises .Chapter 13: Approximation by Rational Functions:Preparation . Runge’s theorem . The Mittag-Leffler theorem . Simply connected regions . Exercises .Chapter 14: Conformal Mapping:Preservation of angles . Linear fractional transformations . Normal families . The Riemann mapping theorem . The class . Continuity at the boundary . Conformal mapping of an annulus . Exercises .Chapter 15: Zeros of Holomorphic Functions:Infinite Products . The Weierstrass factorization theorem . An interpolation problem . Jensen’s formula . Blaschke products . The M’zas theorem . Exercises .

Chapter 16: Analytic Continuation:Regular points and singular points . Continuation along curves . The monodromy theorem . Construction of a modular function . The Picard theorem . Exercises .Chapter 17: H^p-Spaces:Subharmonic functions . The spaces H^p and N . The theorem of F . and M . Riesz . Factorization theorems . The shift operator . Conjugate functions . Exercises .Chapter 18: Elementary Theory of Banach Algebras:Introduction . The invertible elements . Ideals and homomorphisms . Applications . Exercises .Chapter 19: Holomorphic Fourier Transforms:Introduction . Two theorems of Paley and Wiener . Quasi-analytic classes . The Denjoy-Carleman theorem . Exercises .Chapter 20: Uniform Approximation by Polynomials:Introduction . Some lemmas . Mergelyan’s theorem . Exercises .Appendix:Hausdorff’s Maximality Theorem . Notes and Comments . Bibliography . List of Special Symbols . Index


COMPLEX ANALYSISThird EditionBy Lars Ahlfors, Harvard University1979 / 336 pages ISBN-13: 978-0-07-000657-7 / MHID: 0-07-000657-1ISBN-13: 978-0-07-085008-8 / MHID: 0-07-085008-9 [IE]

CoNteNtsChapter 1: Complex Numbers:1 The Algebra of Complex Numbers .2 The Geometric Representation of Complex Numbers .Chapter 2: Complex Functions:1 Introduction to the Concept of Analytic Function .2 Elementary Theory of Power Series .3 The Exponential and Trigonometric Functions .Chapter 3: Analytic Functions as Mappings:1 Elementary Point Set Topology .2 Conformality .3 Linear Transformations .4 Elementary Conformal Mappings .Chapter 4: Complex Integration:1 Fundamental Theorems .2 Cauchy’s Theorem for a Rectangle .3 Local Properties of Analytical Functions .4 The General Form of Cauchy’s Theorem .5 The Calculus of Residues .6 Harmonic Functions .Chapter 5: Series and Product Developments:1 Power Series Expansions .2 Partial Fractions and Factorization .3 Entire Functions .4 The Riemann Zeta Function .5 Normal Families .Chapter 6: Conformal Mapping, Dirichlet’s Problem:1 The Riemann Mapping Theorem .2 Conformal Mapping of Polygons .3 A Closer Look at Harmonic Functions .4 The Dirichlet Problem .5 Canonical Mappings of Multiply Connected Regions .Chapter 7: Elliptic Functions:1 Simply Periodic Functions .2 Doubly Periodic Functions .3 The Weierstrass Theory .

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Chapter 8: Global Analytic Functions:1 Analytic Continuation .2 Algebraic Functions .3 Picard’s Theorem .4 Linear Differential Equations .Index


SCHAUM’S OUTLINE OF COMPLEX VARIABLESBy Murray R Spiegel, formerly of Rensselaer Polytechnic Institute1968 / 320 pages ISBN-13: 978-0-07-060230-4 / MHID: 0-07-060230-1ISBN-13: 978-0-07-099010-4 / MHID: 0-07-099010-7 [IE, SI Metric] (Out of Print)A Schaum’s Publication


CoNteNtsComplex Numbers .Functions .Limits and Continuity .Complex Differentiation and the Cauchy Riemann Equations .Complex Integration and Cauchy’s Theorem .Cauchy’s Integral Formulas and Related Theorems .Infinite Series .Taylor’s and Laurent Series .The Residue Theorem: Evaluation of Integrals and Series .Conformal Mappings .Physical Applications of Conformal Mapping .Special Topics .

Topology


TOPOLOGYBy Sheldon W Davis, Miami University—Oxford2005 / 448 pageISBN-13: 978-0-07-291006-3 / MHID: 0-07-291006-2ISBN-13: 978-0-07-124339-1 / MHID: 0-07-124339-9 [IE]

A volume in the Walter Rudin Student Series .

CoNteNts1 Sets, Functions, Notation:Cantor-Bernstein Theorem .Countable Set .2 Metric Spaces:Topology Generated by a Metric .Complete Metric Space .Cantor Intersection Theorem .Baire Category Theorem .3 Continuity:Banach Fixed Point Theorem .4 Topological Spaces:Subspace Topology .Continuous Function .Base .Sorgenfrey Line .Lindel? Theorem .5 Basic Constructions:Products .Product Topology .6 Separation Axioms: Hausdorff .Regular Normal .Urysohn’s Lemma .Tietze Extension Theorem .7 Compactness:Heine-Borel Theorem .Tychonoff Theorem .Lebesgue Number .8 Local Compactness:One-Point Compactification .9 Connectivity:Intermediate Value Theorem .Connected Subspaces .Products of Connected Spaces .Components .10 Other Types of Connectivity:Pathwise Connected .Locally Pathwise Connected .Locally Connected .11 Continua:Irreducible: Cut Point .Moore’s Characterization of [0, 1] .12 Homotopy:Contractible Space .Fundamental Group .






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SCHAUM’S OUTLINE OF GENERAL TOPOLOGYBy Seymour Lipschutz, Temple University1986 / 256 pages ISBN-13: 978-0-07-037988-6 / MHID: 0-07-037988-2A Schaum’s PublicationCoNteNtsSets and Relations .Functions .Cardinality, Order .Topology of the Line and Plane .Topological Spaces .Definitions .Bases and Subbases .Continuity and Topological Equivalence .Metric and Normed Spaces .Countability .Separation Axioms .Compactness .Product Spaces .Connectedness .Complete Metric Spaces .Function Spaces .Appendix .Properties of the Real Numbers .

Mathematical ReferencesGETTING STARTED WITH THE T1-84 PLUS GRAPHING CALCULATORBy Wee Leng Ng2006 (October 2005) / 84 pagesISBN-13: 978-0-07-125247-8 / MHID: 0-07-125247-9An Asian PublicationWith the recent introduction of the TI-84 Plus graphing calculator into the A-level Mathematics curriculum, students can now reduce the time spent on tedious computations . Getting Started with the TI-84 Plus Graphing Calculator is an invaluable guide to the basic skills required to utilize the graphing calculator, and to help students get the most out of their new tool . Filled with comprehensive key press instructions, screen-shots and useful tips at almost every step, students as well as teachers are bound to find this example-based book a rich reference source and a handy companion to their TI-84 Plus .

CoNteNtsHow to use this book1. Basic CalculationsThe Keys of the TI84+Entering and Editing Mathematical ExpressionsAccessing MenusBasic Numeric Calculations2. Basic Features of Function GraphingEntering and Graphing FunctionsChanging the Viewing Window3. The Equation SolverSolving Equations Without ParametersSolving Equations With Parameters4. Advanced Graphing FeaturesDefining Functions in Terms of Other FunctionsEntering and Graphing a Function with ParametersGraphing a Family of FunctionsRestricting the Domain of a FunctionShading Above/Below a Function

Entering and Plotting a Graph Defined ParametricallyEntering and Graphing a Polar Graph5. CalculusNumerical DerivativeNumerical IntegralTurning PointsDrawing Tangent Lines6. MatricesThe Matrix MenuOperations on Matrices7. Complex NumbersSelecting the Display Format/Rectangular Complex ModePolar Complex ModeEntering expressions involving Complex NumbersFinding the Argument and Modulus8. VectorsPerforming Vector OperationsFinding the Magnitude of a VectorFinding the Scalar ProductFinding the Vector Product9. Sequences and SeriesSequences on the Home ScreenDefining Sequences Using the Editor

GREAT JOBS FOR MATH MAJORSSecond EditionBy Stephen Lambert and Ruth DeCotis2006 (September 2005) / 208 pagesISBN-13: 978-0-07-144859-8 / MHID: 0-07-144859-4A Professional PublicationAnswers the question “What can I do with a major in math?” It isn’t always obvious what a math major can offer to the workplace . But it provides you with valuable skills and training that can be applied to a wide range of careers . Great Jobs for Math Majors helps you explore these possibilities .

MATH PROOFS DEMYSTIFIEDBy Stan Gibilisco 2005 / 290 pages / Softcover ISBN-13: 978-0-07-144576-4 / MHID: 0-07-144576-5 A Professional PublicationCoNteNtsPart One: The Rules of Reason.Chapter 1: The Basics of Propositional Logic .Chapter 2: How Sentences are Put Together .Chapter 3: Formalities and Techniques .Chapter 4: Vagaries of Logic .Test: Part One .Part Two: Proofs in Action.Chapter 5: Some Theoretical Geometry .Chapter 6: Sets and Numbers .Chapter 7: A Few Historic Tidbits .Test: Part Two .Final Exam .Answers to Quiz, Test and Exam Questions .Suggested Additional References .Index

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PRE-CALCULUS DEMYSTIFIEDBy Rhonda Huettenmueller 2005 / 468 pages / SoftcoverISBN-13: 978-0-07-143927-5 / MHID: 0-07-143927-7 A Professional PublicationCoNteNtsPrefaceChapter 1: The Slope and Equation of a LineChapter 2: Introduction to FunctionsChapter 3: Functions and Their GraphsChapter 4: Combinations of Functions and Inverse FunctionsChapter 5: Translations and Special FunctionsChapter 6: Quadratic FunctionsChapter 7: Polynomial FunctionsChapter 8: Rational FunctionsChapter 9: Exponents and LogarithmsChapter 10: Systems of Equations and InequalitiesChapter 11: MatricesChapter 12: Conic SectionsChapter 13: TrigonometryChapter 14: Sequences and Series Appendix . Final Exam

DIFFERENTIAL EQUATIONS DEMYSTIFIEDBy Steven G Krantz, Washington University-St Louis2005 / 323 pages / SoftcoverISBN-13: 978-0-07-144025-7 / MHID: 0-07-144025-9 A Professional PublicationCoNteNtsPreface .Chapter 1: What Is a Differential Equation?Chapter 2: Second-Order EquationsChapter 3: Power Series Solutions and Special FunctionsChapter 4: Fourier Series: Basic ConceptsChapter 5: Partial Differential Equations and Boundary Value ProblemsChapter 6: Laplace TransformsChapter 7: Numerical MethodsChapter 8: Systems of First-Order Equations . Final Exam . Solutions to Exercises . Bibliography Index .

MCGRAW-HILL DICTIONARY OF MATHEMATICSSecond EditionBy McGraw-Hill2003 / 336 pages ISBN-13: 978-0-07-141049-6 / MHID: 0-07-141049-XA Professional PublicationDerived from the content of the respected McGraw-Hill Dictionary of Scientific and Technical Terms Sixth Edition, each title provides thousands of definitions of words and phrases encountered in a specific discipline. All include:

Pronunciation guide for every term �

Acronyms, cross-references, and abbreviations �

Append-ices with conversion tables; listings of scientific, �technical, and mathematical notation; tables of relevant data; and more

A convenient, quick-find format �

SCHAUM’S EASY OUTLINES: MATHEMATICAL HANDBOOK OF FORMULAS AND TABLESBy Murray R Spiegel, Rensselaer Polytechnic Institute, and John Liu, Temple University2001 / 144 pagesISBN-13: 978-0-07-136974-9 / MHID: 0-07-136974-0A Schaum’s PublicationCoNteNtsPart 1: Formulas.Section 1: Elementary Constants, Products, Formulas .Section 2: Geometry .Section 3: Elementary Transcendental Functions .Section 4: Calculus .Section 5: Differential Equations .Section 6: Series .Section 7: Vector Analysis .Part 2: Tables.Section 8: Factorial n .Section 9: Conversion of Radians to Degrees, Minutes, and Seconds .Section 10: Conversion of Degrees, Minutes, and Seconds to Radians .Section 11: Sin x .Section 12: Cos x .Section 13: Tan x .Section 14: Natural or Naperian Logarithms log x or In x .Section 15: Exponential Functions e .


SCHAUM’S OUTLINE OF MATHEMATICAL HANDBOOK OF FORMULAS AND TABLESSecond EditionBy Murray R Spiegel, Rensselaer Polytechnic Institute, and John Liu, Temple University1999 / 278 pagesISBN-13: 978-0-07-038203-9 / MHID: 0-07-038203-4ISBN-13: 978-0-07-116765-9 / MHID: 0-07-116765-X [IE]A Schaum’s Publication


CoNteNtsSection I: Elementary Constants, Products, Formulas .Section II: Geometry . Geometric Formulas .Section III: Elementary Transcendental Functions .Section IV: Calculus . Derivatives .Section V: Differential Equations and Vector Analysis .Section VI: Series .Section VII: Special Functions and Polynomials . Section VIII: Laplace and Fourier Transforms .Section IX: Elliptic and Miscellaneous Special Functions .Section X: Inequalities and Infinite Products . Section XI: Probability and Statistics . Section XII: Numerical Methods .

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Advanced Statistics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .125Applied Statistics – Engineering . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .117Applied Statistics – Eduction, Psychology And Soical Science . . . . . . . . . . . . . . . . . . . . . . . .116Applied Statistics – Science, Health And Biostatistics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .115Business Statistics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .119Statistics And Probability (Calculus) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .114Statistics And Probability (Non-Calculus) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .109

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STATISTICS AND PROBABILITY2009 Author ISBN-13 MHID PageComplete Business Statistics With Student CD, 7e Aczel 9780077239695 0077239695 119

Business Statistics In Practice, 5e Bowerman 9780073373591 0073373591 119

2008Elementary Statistics: A Brief Version, 4e Bluman 9780073534961 007353496X 109

Essentials Of Business Statistics With Student CD, 2e Bowerman 9780073319889 0073319880 119

Basic Statistics For Business And Economics With Lind 9780077230968 0077230965 120

Student CD, 6e

Basic Statistics Using Excel To Accompany Statistical Lind 9780073030265 0073030260 120

Techniques In Business And Economics, 13e

Statistical Techniques In Business And Economics, 3e Lind 9780073272962 0073272965 120

Statistics For Engineers And Scientists, 2e Navidi 9780073309491 0073309494 117

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Statistics And Probability (Non-calculus)


ELEMENTARY STATISTICS: A BRIEF VERSIONFourth Edition

By Allan G Bluman, Community College of Allegheny County-South

2008 (September 2006) / 736 pagesISBN-13: 978-0-07-353496-1 / MHID: 0-07-353496-XISBN-13: 978-0-07-331267-1 / MHID: 0-07-331265-7 (with Math Zone)ISBN-13: 978-0-07-334714-1 / MHID: 0-07-334714-0 (with Data Disk)ISBN-13: 978-0-07-128610-7 / MHID: 0-07-128610-1 [IE with formula card and MathZone]

Browse http://www.mhhe.com/blumanElementary Statistics: A Brief Version, 4th Edition is a shorter version of Allan Bluman’s popular text Elementary Statistics: A Step by Step Approach, 6th edition . This softcover edition includes all the features of the longer book, but is designed for a course in which the time available limits the number of topics covered . The book is written for general beginning statistics courses with a basic algebra prerequisite . The book use a non-theoretical approach, explaining concepts intuitively and teaching problem solving through worked examples step-by-step .

New to this editioN

Applying the Concepts--This new feature has been added to each �section and gives students an opportunity to think about the concepts and apply them to hypothetical examples and scenarios similar to those found in newspapers, magazines, and news programs .

More Examples and Exercises!--Over 200 new exercises �have been added, most using real data, and many questions now incorporate thought-provoking questions requiring students to interpret their results .

Fresh New Look--The text layout and color palette have been �redesigned to help increase the readability and ease of use by students and instructors .

The text has been updated throughout with current data and �statistics including new Unusual Stats and Interesting Facts; new Speaking of Statistics; new Critical Thinking Challenges; new Statistics Today openers; new worked examples; new Data Analysis Exercises; and new Data Sets .

CoNteNtsPreface1: The Nature of Probability and Statistics1 .1 Introduction1 .2 Descriptive and Inferential Statistics1 .3 Variables and Types of Data1 .4 Data Collection and Sampling Techniques1 .5 Observational and Experimental Studies

1 .6 Uses and Misuses of Statistics1 .7 Computers and Calculators1 .8 Summary2: Frequency Distributions and Graphs2 .1 Introduction2 .2 Organizing Data2 .3 Histograms, Frequency Polygons, and Ogives2 .4 Other Types of Graphs2 .5 Paired Data and Scatter Plots Ana2 .6 Summary3: Data Description3 .1 Introduction3 .2 Measures of Central Tendency3 .3 Measures of Variation3 .4 Measures of Position3 .5 Exploratory Data Analysis3 .6 Summary4: Probability and Counting Rules4 .1 Introduction4 .2 Sample Spaces and Probability4 .3 The Addition Rules for Probability4 .4 The Multiplication Rules and Conditional Probability4 .5 Counting Rules4 .6 Probability and Counting Rules4 .7 Summary5: Discrete Probability Distributions5 .1 Introduction5 .2 Probability Distributions5 .3 Mean, Variance, Standard Deviation, and Expectation5 .4 The Binomial Distribution5 .5 Summary6: The Normal Distribution6 .1 Introduction6 .2 Properties of the Normal Distribution6 .3 The Standard Normal Distribution6 .4 Applications of the Normal Distribution6 .5 The Central Limit Theorem6 .6 The Normal Approximation to the Binomial Distribution6 .7 Summary7: Confidence Intervals and Sample Size7 .1 Introduction7 .2 Confidence Intervals for the Mean (Sigma Known or n > 30) and Sample Size7 .3 Confidence Intervals for the Mean (Sigma Unknown and n < 30)7 .4 Confidence Intervals and Sample Size for Proportions7 .5 Confidence Intervals for Variances and Standard Deviations7 .6 Summary8: Hypothesis Testing8 .1 Introduction8 .2 Steps in Hypothesis Testing – Traditional Method8 .3 z Test for a Mean8 .4 t Test for a Mean8 .5 z Test for a Proportion8 .6 Chi-Square Test for a Variance or Standard Deviation8 .7 Additional Topics Regarding Hypothesis Testing8 .8 Summary9: Testing the Difference Between Two Means, Two Variances, and Two Proportions9 .1 Introduction9 .2 Testing the Difference Between Two Means: Large Samples9 .3 Testing the Difference Between Two Variances9 .4 Testing the Difference Between Two Means: Small Independent Samples9 .5 Testing the Difference Between Two Means: Small Dependent Samples9 .6 Testing the Difference Between Two Proportions9 .7 Summary10: Correlation and Regression10 .1 Introduction10 .2 Correlation10 .3 Regression


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10 .4 Coefficient of Determination and Standard Error of the Estimate10 .5 Summary11: Chi-Square and Analysis of Variance (ANOVA)11 .1 Introduction11 .2 Test for Goodness of Fit11 .3 Tests Using Contingency Tables11 .4 Analysis of Variance (ANOVA)11 .5 SummaryAppendix A: Algebra ReviewAppendix B-1: Writing the Research ReportAppendix B-2: Alternate Approach to the Standard Normal DistributionAppendix C: TablesAppendix D: Data BankAppendix E: GlossaryAppendix F: BibliographyAppendix G: Photo CreditsAppendix H: Selected Answers


ELEMENTARY STATISTICS: A STEP BY STEP APPROACHSixth EditionBy Allan G. Bluman, Community College Of Allegheny County-South2007 (December 2005)ISBN-13: 978-0-07-330543-1 / MHID: 0-07-330543-XISBN-13: 978-0-07-325163-9 / MHID: 0-07-325163-1 (with MathZone)ISBN-13: 978-0-07-110838-6 / MHID: 0-07-110838-6 [IE with MathZone]ISBN-13: 978-0-07-126703-8 / MHID: 0-07-126703-4[IE without MathZone]

Browse http://www.mhhe.com/blumanELEMENTARY STATISTICS: A STEP BY STEP APPROACH is for general beginning statistics courses with a basic algebra prerequisite . The book is non-theoretical, explaining concepts intuitively and teaching problem solving through worked examples and step-by-step instructions . This edition places more emphasis on conceptual understanding and understanding results . This edition also features increased emphasis on Excel, MINITAB, and the TI-83 Plus and TI 84-Plus graphing calculators, computing technologies commonly used in such courses .

CoNteNts1 The Nature of Probability and Statistics1-1 Introduction1-2 Descriptive and Inferential Statistics1-3 Variables and Types of Data1-4 Data Collection and Sampling Techniques1-5 Observational and Experimental Studies1-6 Uses and Misuses of Statistics1-7 Computers and Calculators1-8 Summary2 Frequency Distributions and Graphs2-1 Introduction2-2 Organizing Data2-3 Histograms, Frequency Polygons, and Ogives2-4 Other Types of Graphs2-5 Summary3 Data Description3-1 Introduction3-2 Measures of Central Tendency3-3 Measures of Variation

3-4 Measures of Position3-5 Exploratory Data Analysis3-6 Summary4 Probability and Counting Rules4-1 Introduction4-2 Sample Spaces and Probability4-3 The Addition Rules for Probability4-4 The Multiplication Rules and Conditional Probability4-5 Counting Rules4-6 Probability and Counting Rules4-7 Summary5 Discrete Probability Distributions5-1 Introduction5-2 Probability Distributions5-3 Mean, Variance, Standarddeviation, and Expectation5-4 The Binomial Distribution5-5 Other Types of Distributions (Optional)5-6 Summary6 The Normal Distribution6-1 Introduction6-2 Properties of the Normal Distribution6-3 The Standard Normal Distribution6-4 Applications of the Normal Distribution6-5 The Central Limit Theorem6-6 The Normal Approximation to the Binomial Distribution6-7 Summary7 Confidence Intervals and Sample Size7-1 Introduction7-2 Confidence Intervals for the Mean (s Known or n©30)7-3 Confidence Intervals for the Mean (s Unknown or n<30)7-4 Confidence Intervals and Sample Size for Proportions7-5 Confidence Intervals for Variances and Standard Deviations7-6 Summary8 Hypothesis Testing8-1 Introduction8-2 Steps in Hypothesis Testing–Traditional Method8-3 z Test for a Mean8-4 t Test for a Mean8-5 z Test for a Proportion8-6 Chi Square test for a Variance or Standard Deviation8-7 Additional Topics Regarding Hypothesis Testing8-8 Summary9 Testing the Difference Between Two Means, Two Variances, and Two Proportions9-1 Introduction9-2 Testing the Difference Between Two Means: Large Samples9-3 Testing the Difference Between Two Variances9-4 Testing the Difference Between Two Means: Small Independent Samples9-5 Testing the Difference Between Two Means: Small Dependent Samples9-6 Testing the Difference Between Proportions9-7 Summary10 Correlation and Regression10-1 Introduction10-2 Scatter Plots10-3 Correlation10-4 Regression10-5 Coefficient of Determination and Standard Error of the Estimate10-6 Multiple Regression (Optional)10-7 Summary11 Other Chi-Square Tests.11-1 Introduction11-2 Test for Goodness of Fit11-3 Tests Using Contingency Tables11-4 Summary12 Analysis of Variance12-1 Introduction12-2 One-Way Analysis of Variance12-3 The Scheffé Test and the Tukey Test

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12-4 Two-Way Analysis of Variance12-5 Summary13 Nonparametric Statistics13-1 Introduction13-2 Advantages and Disadvantages of Nonparametric Methods13-3 The Sign Test13-4 The Wilcoxon Rank Sum Test13-5 The Wilcoxon Signed-Rank Test13-6 The Kruskal-Wallis Test13-7 The Spearman Rank Correlation Coefficient and the Runs Test13-8 Summary14 Sampling and Simulation14-1 Introduction14-2 Common Sampling Techniques14-3 Surveys and Questionnaire Design14-4 Simulation Techniques14-5 The Monte Carlo Method14-6 SummaryAppendix A: Algebra ReviewAppendix B-1: Writing the Research Report .Appendix B-2: Bayes’s Theorem .Appendix B-3: Alternate Method for the Standard Normal Distribution .Appendix C: Tables .Appendix D: Data Bank .Appendix E: Glossary .Appendix F: Bibliography .Appendix G: Photo Credits .Appendix H: Selected Answers


READY, SET, GO! A STUDENT GUIDE TO SPSS ® 13.0 AND 14.0 FOR WINDOWS Second EditionBy Thomas Pavkov and Kent Price of Purdue University-Calumet-Hammond2007 (February 2006) / 96 pagesISBN-13: 978-0-07-312665-4 / MHID: 0-07-312665-9ISBN-13: 978-0-07-125297-3 / MHID: 0-07-125297-5 [IE]

This guide features concise instructions for accessing and using SPSS for Windows . Ready, Set, Go! is more than a reference book for versions 13 .0 and 14 .0; through ten guided assignments, students learn about statistical analysis of data while also learning the steps in the research process . The students are guided through assignments such as using frequency distributions, performing the t test, using the one-way ANOVA procedure, computing a correlation, and computing chi-square function .

CoNteNtsPreface / Assignment1 Learning the Basics of SPSS Assignment2 Looking at Frequency Distributions and Descriptive Statistics Assignment3 Presenting Data in Graphic Form Assignment4 Testing Research Hypotheses for Two Independent Samples Assignment5 Testing Research Hypotheses About Two Related Sampled Assignment6 Comparing Independent Samples with One-Way ANOVA Assignment7 Comparing Related Samples with One-Way ANOVA Assignment8 Measuring the Simple Relationship Between Two Variables Assignment

9 Describing the Linear Relationship Between Two Variables Assignment10 Assessing the Association Between Two Categorical Variables Appendix Entering Data Using Programs Other Than SPSS

RESEARCH PROJECTS IN STATISTICSBy Joseph Kincaid, Blue Cross and Blue Shield of Kansas City2004 / Softcover / 80 pages ISBN-13: 978-0-07-294681-9 / MHID: 0-07-294681-4

http://www.mhhe.com/kincaidCoNteNtsOverview: Motivation for the project .Schedule for the project .Group Communication: Purpose of the communication plan .Contents of the communication plan .Project Ideas: Purpose of the list of ideas .Generating research questions .Requirements for the research project .Example of a list of ideas .The Research Proposal: Purpose of the research proposal .Contents of the research proposal .Examples of research proposals .Data Collection: Purpose of the data collection stage .Characteristics of good data: Integrity .Characteristics of good data: Accuracy .Collecting the data .That data collection report .Examples of data collection .Data Analysis: Purpose of the data analysis .Types of data analysis .Preparing the data for analysis .Examples of data analysis .Presenting the Results: The overall presentation .The oral presentation .The written report .Examples of written reports .Comments on Student Examples: Comments on the list of ideas .Comments on the research proposals .Comments on the data collection .Comments on the written reports

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LECTURES IN ELEMENTARY PROBABILITY THEORY AND STOCHASTIC PROCESSESBy Jean-Claude Falmagne 2003 / 288 pagesISBN-13: 978-0-07-244890-0 / MHID: 0-07-244890-3ISBN-13: 978-0-07-122975-3 / MHID: 0-07-122975-2 [IE]

CoNteNts1 Preliminaries .2 Sample Space and Events .3 Probability and Area .4 Probability Measures .5 Basic Rules of Probability Calculus .6 Sampling .7 Counting Subsets .8 Discrete Distributions .9 Conditional Probabilities .10 Independence and Bayes Theorem .11 The Principle of Maximum Likelihood .12 Random Variables .13 Distribution Functions .14 Continuous Random Variables .15 Expectation and Moments .16 Covariance and Correlation .17 The Law of Large Numbers .18 Moment Generating Functions .19 Multivariate Distributions .20 Bivariate Normal Distributions .21 Finite Markov Chains, Basic Concepts .22 Homogeneous Markov Chains .23 Random Walks .24 Poisson Processes .Solutions and Hints for Selected Problems .Glossary of Symbols .Index . Bibliography


STATISTICS: A FIRST COURSESixth EditionBy Donald H. Sanders, Education Consultant and Robert Smidt, California Polytechnic State University - San Luis Obispo2000 / 736 pages ISBN-13: 978-0-07-233217-9 / MHID: 0-07-233217-4 (with CD-ROM)ISBN-13: 978-0-07-116984-4 / MHID: 0-07-116984-9 [IE with CD-ROM]

CoNteNtsLet’s Get Started .Looking Ahead .Looking BackReview ExercisesTopics For Review And DiscussionProjectsIssues To ConsiderComputer Exercises .Descriptive Statistics .Probability Concepts .Probability Distributions .Sampling Concepts .Estimating Parameters .Testing Hypotheses: One Sample Procedures .Inference: Two-Sample Procedures .Analysis of Variance .Chi-Square Tests: Goodness-of-Fit and Contingency Table Methods .Linear Regression and Correlation .Nonparametric Statistical Methods .Appendices .Selected Values of the Binomial Probability Distribution .Areas under the Standard Normal Probability Distribution .A Brief Table of Random Numbers .Areas for t Distributions .F Distribution Tables .Chi-Square Distribution .Critical Values of T for Level of Significance = .05 and Level of Significance = .01 in the Wilcoxon Signed Rank Test .Distribution of U in the Mann-Whitney Test .Critical Values for r in the Runs Test for Randomness .Selected Values of the Poisson Probability Distribution .Entering and Editing Data in Minitab .Answers to Odd-Numbered Exercises .

SCHAUM’S OUTLINE OF STATISTICSFourth EditionBy Murray Spiegel (deceased) and Larry J Stephens, University of Nebraska, Omaha2008 (November 2007) / 544 pagesISBN-13: 978-0-07-148584-5 / MHID: 0-07-148584-8A Schaum’s PublicationThe guides that help students study faster, learn better-and get top grades.

Updated to match the latest developments in the field of statistics, this new edition includes dozens of new problems showing output from EXCEL, SAS, SPSS, STATISTIX, and MINITAB, all of which are in general use for in college courses on statistics .






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SCHAUM’S OUTLINE OF ELEMENTS OF STATISTICS IIInferential StatisticsBy Stephen Bernstein and Ruth Bernstein, University of Colorado2000 / 480 pages ISBN-13: 978-0-07-134637-5 / MHID: 0-07-134637-6A Schaum’s Publication


SCHAUM’S OUTLINE OF PROBABILITYSecond EditionBy Seymour Lipschutz, Temple University2000 / 224 pagesISBN-13: 978-0-07-135203-1 / MHID: 0-07-135203-1ISBN-13: 978-0-07-118356-7 / MHID: 0-07-118356-6 [IE]A Schaum’s Publication(International Edition is not for sale in Japan .)

CoNteNtsSet Theory .Techniques of Counting .Introduction to Probability .Conditional Probability and Independence .Random Variables .Binomial, Normal and Poisson Distributions .Markov Chains .Appendices: Descriptive Statistics .Chi-Square Distribution .

SCHAUM’S EASY OUTLINES: STATISTICSBy Murray R Spiegel (Deceased) and David P. Lindstrom 2000 / 138 pages ISBN-13: 978-0-07-116984-6 / MHID: 0-07-052712-1A Schaum’s PublicationCoNteNtsVariables and Graphs .Measures of Central Tendency and Dispersion .Elementary Probability Theory .The Binomial, Normal, and Poisson Distributions .Elementary Sampling Theory .Statistical Estimation Theory .Statistical Decision Theory .Small Sampling Theory .The Chi-Square Test .Curve Fitting and the Method of Least Squares .Correlation Theory .Multiple and Partial Correlation .Analysis of Variance .Nonparametric Tests .Appendices:A: Areas Under the Standard Normal Curve .B: Student’s t Distribution .C: Chi-Square Distribution .D: 99th Percentile Values for the F Distribution

SCHAUM’S OUTLINE OF ELEMENTS OF STATISTICS IDifferential Statistics and ProbabilityBy Stephen Bernstein and Ruth Bernstein, University of Colorado1999 / 368 pagesISBN-13: 978-0-07-005023-5 / MHID: 0-07-005023-6A Schaum’s PublicationCoNteNtsMathematics Required for Statistics .Characteristics of the Data .Populations, Samples, and Statistics .Descriptive Statistics: Organizing the Data Into Tables .Descriptive Statistics: Graphing the Data .Descriptive Statistics: Measures of Central Tendency, Average Value, and Location .Descriptive Statistics: Measures of Dispersion .Probability: The Classical, Relative Frequency, Set Theory, and Subjective Interpretations .Probability: Rules for Multiplication and Division, Marginal Probabilities and Bayes’ Theorem, Tree Diagrams and Counting Rules .Random Variables, Probability Distributions, Cumulative Distribution Functions, and Expected Values .

SCHAUM’S OUTLINE OF INTRODUCTION TO PROBABILITY AND STATISTICSBy Seymour Lipschutz and Jack Schiller, Temple University1998 / 384 pages ISBN-13: 978-0-07-038084-4 / MHID: 0-07-038084-8A Schaum’s PublicationCoNteNtsPart I: Descriptive Statistics and Probability.Preliminary: Descriptive Statistics .Sets and Counting .Basic Probability .Conditional Probability and Independence .Random Variables .Binomial and Normal Distributions .Part II: Inferential Statistics.Sampling Distributions .Confidence Intervals for A Single Population .Hypotheses Tests for A Single Population .Inference for Two Populations .Chi-Square Tests and Analysis of Variance .


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SCHAUM’S OUTLINE OF SET THEORY AND RELATED TOPICSSecond EditionBy Seymour Lipschutz, Temple University1998 / 200 pagesISBN-13: 978-0-07-038159-9 / MHID: 0-07-038159-3ISBN-13: 978-0-07-116494-8 / MHID: 0-07-116494-4 [IE]A Schaum’s Publication(International Edition is not for sale in Japan .)

CoNteNtsSets and Subsets .Basic Set Operators .Sets of Numbers .Functions .Product Sets and Graphs of Functions .Relations .Further Theory of Sets .Further Theory of Functions, Operations .Cardinal Numbers .Partially and Totally Ordered Sets .Well-Ordered Sets/Ordinal Numbers .Axiom of Choice .Paradoxes in Set Theory .Algebra of Propositions .Quantifiers .Boolean Algebra .Logical Reasoning .

Statistics And Probability (Calculus)


INTRODUCTION TO PROBABILITY AND STATISTICS: PRINCIPLES AND APPLICATIONS FOR ENGINEERING AND THE COMPUTING SCIENCESFourth EditionBy J Susan Milton, Emeritus, Radford University and Jesse C Arnold, Virginia Polytechnic Institute2003 / 816 pages ISBN-13: 978-0-07-246836-6 / MHID: 0-07-246836-XISBN-13: 978-0-07-124248-6 / MHID: 0-07-124248-1 [IE, 2-colour Text]ISBN-13: 978-0-07-119859-2 / MHID: 0-07-119859-8 [IE]http://www.mhhe.com/miltonarnoldCoNteNts1 Introduction to Probability and Counting:Interpreting Probabilities .Sample Spaces and Events .Permutations and Combinations .2 Some Probability Laws.Axioms of Probability .Conditional Probability .Independence and the Multiplication Rule .

Bayes’ Theorem .3 Discrete Distributions.Random Variables .Discrete Probablility Densities .Expectation and Distribution Parameters .Geometric Distribution and the Moment Generating Function .Binomial Distribution .Negative Binomial Distribution .Hypergeometric Distribution .Poisson Distribution .4 Continuous Distributions.Continuous Densities .Expectation and Distribution Parameters .Gamma Distribution .Normal Distri-bution .Normal Probability Rule and Chebyshev’s Inequality .Normal Approximation to the Binomial Distribution .Weibull Distribution and Reliability .Transformation of Variables .Simulating a Continuous Distribution .5 Joint Distributions.Joint Densities and Independence .Expectation and Covariance .Correlation .Conditional Densities and Regression .Transformation of Variables .6 Descriptive Statistics.Random Sampling .Picturing the Distribution .Sample Statistics .Boxplots .7 Estimation.Point Estimation .The Method of Moments and Maximum Likelihood .Functions of Random Variables - Distribution of X .Interval Estimation and the Central Limit Theorem .8 Inferences on the Mean and Variance of a Distribution.Interval Estimation of Variability .Estimating the Mean and the Student-t Distribution .Hypothesis Testing .Significance Testing .Hypothesis and Significance Tests on the Mean .Hypothesis Tests .Alternative Nonparametric Methods .9 Inferences on Proportions.Estimating Proportions .Testing Hypothesis on a Proportion .Comparing Two Proportions: Estimation .Coparing Two Proportions: Hypothesis Testing .10 Comparing Two Means and Two Variances.Point Estimation .Comparing Variances: The F Distribution .Comparing Means: Variances Equal (Pooled Test) .Comparing Means: Variances Unequal .Compairing Means: Paried Data .Alternative Nonparametric Methods .A Note on Technology .11 Sample Linear Regression and Correlation.Model and Parameter Estimation .Properties of Least-Squares Estimators .Confidence Interval Estimation and Hypothesis Testing .Repeated Measurements and Lack of Fit .Residual Analysis .Correlation .12 Multiple Linear Regression Models.Least-Squares Procedures for Model Fitting .A Matrix Approach to Least Squares .Properties of the Least-Squares Estimators .Interval Estimation .Testing Hypotheses about Model Parameters .Use of Indicator or “Dummy” Variables .

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Criteria for Variable Selection .Model Transformation and Concluding Remarks .13 Analysis of Variance.One-Way Classification Fixed-Effects Model .Comparing Variances .Pairwise Comparison .Testing Contrasts .Randomized Complete Block Design .Latin Squares .Random-Effects Models .Design Models in Matrix Form .Alternative Nonparametric Methods .14 Factorial Experiments.Two-Factor Analysis of Variance .Extension to Three Factors .Random and Mixed Model Factorial Experiments .2^k Factorial Experiments .2^k Factorial Experiments in an Incomplete Block Design .Fractional Factorial Experiments .15 Categorical Data.Multinomial Distribution .Chi-Squared Goodness of Fit Tests .Testing for Independence .Comparing Proportions .16 Statistical Quality Control.Properties of Control Charts .Shewart Control Charts for Measurements .Shewart Control Charts for Attributes .Tolerance Limits .Acceptance Sampling .Two-Stage Acceptance Sampling .Extensions in Quality Control .Appendix A Statistical Tables .Appendix B Answers to Selected Problems .Appendix C Selected Derivations


INTRODUCTION TO THE THEORY OF STATISTICSThird EditionBy Alexander M. Mood, University of California, Irvine Franklin A. Graybill, Duane C. Boes, both of Colorado State University1974 / 480 pages ISBN-13: 978-0-07-042864-5 / MHID: 0-07-042864-6 (Out-of-Print)ISBN-13: 978-0-07-085465-9 / MHID: 0-07-085465-3 [IE]

SCHAUM’S OUTLINE OF PROBABILITY AND STATISTICSThird EditionBy John J Schiller, R Alu Srinivasan, Temple University2009 (July 2008) / 399 pagesISBN-13: 978-0-07-154425-2 / MHID: 0-07-154425-9A Schaum’s PublicationA classic Schaum’s bestseller, thoroughly updated to match the latest course scope and sequence . The ideal review for the hundreds of thousands of college and high school students who enroll in probability and statistics courses .

CoNteNtsPart I: Probability 1 . Basic Probability 2 . Random Variables and Probability Distributions 3 . Mathematical Expectation 4 . Special Probability Distributions Part II: Statistics 5 . Sampling Theory 6 . Estimation Theory 7 . Tests of Hypotheses and Significance 8 . Curve Fitting, Regression, and Correlation 9 . Analysis of Variance 10 . Nonparametric Tests

Applied Statistics – Science, Health And

Biostatistics


INTRODUCTION TO BIOSTATISTICSBy Thomas Glover, Hobart & Wm Smith College and Kevin Mitchell, Hobart & Wm Smith College2002 / 432 pages ISBN-13: 978-0-07-241841-5 / MHID: 0-07-241841-9 (Out of Print)ISBN-13: 978-0-07-123743-7 / MHID: 0-07-123743-7 [IE]http://www.mhhe.com/biosci/pae/zoology/glover/index.mhtmlCoNteNts1 Introduction to Data Analysis .2 Introduction to Probability .3 Probability Distributions .4 Sampling Distributions .5 Introduction to Hypothesis Testing .6 One-Sample Tests of Hypothesis .7 Tests of Hypothesis Involving Two Samples .8 k-Sample Tests of Hypothesis: The Analysis of Variance .9 Two-Factor Analysis .10 Linear Regression and Correlation .11 Goodness of Fit Tests for Categorical Data .Appendixes: A Proofs of Selected Results .B Answers to Even-Numbered Problems .C Tables of Distributions and Critical Values


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STATISTICS FOR THE UTTERLY CONFUSEDSecond EditionBy Lloyd R. Jaisingh 2006 / 352 pages / SoftcoverISBN-13: 978-0-07-146193-1 / MHID: 0-07-146193-0 A Professional PublicationWhen it comes to understanding statistics, even good students can be confused . Perfect for students in any introductory non-calculus-based statistics course, and equally useful to professionals working in the world, Statistics for the Utterly Confused is your ticket to success . Statistical concepts are explained step-by-step and applied to such diverse fields as business, economics, finance, and more. The message of Statistics for the Utterly Confused is simple: you don’t have to be confused anymore . Updated and expanded to give you the latest changes in the field, this up-to-the-minute edition includes many new examples of Excel output, the most widely used of all statistics programs; a new chapter on Analysis of Variance (ANOVA); and 200 additions to the 700 self-testing questions and answers . The expert author’s Web site also gives you tons of fresh examples, practice problems, and strategies--so you can go from utterly confused to totally prepared in no time!

Inside, you’ll discover how to:

Grasp the meaning of everyday statistical concepts �

Find out what’s probable and what isn’t �

Read, understand, and solve statistics problems �

Improve your scores on exams �

Use your skills in any field �

Applied Statistics – Eduction, Psychology and

Soical ScienceSPSS SURVIVAL MANUALThird EditionBy Julie Pallant, University of Melbourn2007 (August 2007) / 352 pagesISBN-13: 978-0-335-22366-4 / MHID: 0-335-22366-4Open University Press Titles

In this fully revised edition of her bestselling text, Julie Pallant guides you through the entire research process, helping you choose the right data analysis technique for your project . From the formulation of research questions, to the design of the study and analysis of data, to reporting the results, Julie discusses basic and advanced statistical techniques . She outlines each technique clearly, with step-by-step procedures for performing the analysis, a detailed guide to interpreting SPSS output and an example of how to present the results in a report . For both beginners and experienced SPSS users in psychology, sociology, health sciences, medicine, education, business and related disciplines, the SPSS Survival Manual is an essential guide . Illustrated with screen grabs, examples of output and tips, it is supported by a website with sample data and guidelines on report writing . In this third edition all chapters have been updated to accommodate changes to SPSS procedures, screens and output in version 15. A new flowchart is included for SPSS procedures, and factor analysis procedures have been streamlined . It also includes more examples and material on syntax. Additional data files are available on the books’s supporting website .

CoNteNtsPrefaceData files and websiteIntroduction & overview Part One: Getting Started Designing a studyPreparing a codebookGetting to know SPSS Part Two: Preparing The Data File Creating a data file and entering dataScreening and cleaning the data Part Three: Preliminary AnalysesDescriptive statisticsUsing graphs to describe and explore the dataManipulating the dataChecking the reliability of a scaleChoosing the right statistic Part Four: Statistical Techniques To Explore Relationships Among VariablesCorrelationPartial correlationMultiple regressionLogistic regressionFactor analysis Part Five: Statistical Techniques To Compare GroupsNon-parametric statisticsT-testsOne-way analysis of varianceTwo-way between-groups ANOVAMixed between-within subjects analysis of varianceMultivariate analysis of varianceAnalysis of covariance Appendix: Details of data filesRecommended readingReferencesIndex

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Applied Statistics – Engineering


STATISTICS FOR ENGINEERS AND SCIENTISTSSecond Edition

By William Navidi, Colorado School of Mines

2008 (Janurary 2007) / 675 pagesISBN-13: 978-0-07-330949-1 / MHID: 0-07-330949-4ISBN-13: 978-0-07-110022-3 / MHID: 0-07-110222-1 [IE]

Browse http://www.mhhe.com/navidi2The second edition of this book is intended to extend the strengths of the first. Some of the changes are:

More than 200 new exercises have been added . �

A new section on point estimation has been added to Chapter 4 . �

The material on histograms in Chapter 1 has been completely �revised .

Chapter 2 now contains a discussion of Chebyshev’s �inequality .

Chapter 4 now contains a discussion of the uniform �distribution .

The section on the normal distribution contains a discussion on �linear functions of normal random variables .

Chapter 7 contains additional material on the correlation �coefficient .

Chapter 10 contains a discussion of the relationship between �control charts and hypothesis tests .

The exposition has been improved in a number of places . �

Also new for this edition is the ARIS online course management system . ARIS provides automatic grading of student assignments and keeps a record of students’ grades . In addition, ARIS contains problems for student practice, along with Java applets that allow students to interactively explore ideas in the text . Customizable PowerPoint lecture notes for each chapter are available as well, along with suggested syllabi, and other features . More information can be found at aris .mhhe .com . About the Author William Navidi is Professor of Mathematical and Computer Sciences at the Colorado School of Mines . He received the B .A . degree in mathematics from New College, the M .A . in mathematics from Michigan State University, and the Ph .D . in statistics from the University of California at Berkeley . Professor Navidi has authored more than 50 research papers both in statistical theory and in a wide variety of applications includingcomputer networks, epidemiology, molecular biology, chemical engineering, and geophysics .

New to this editioN

McGraw-Hill’s ARIS online Homework Manager has been added �to this edition and features algorithmic problems and gradebook capability . Instructors will have access to data sets, solutions, lecture powerpoints, and images from the text .

Over 180 new homework problems have been added �throughout .

CoNteNts1 Sampling and Descriptive Statistics2 Probability3 Propagation of Error4 Commonly Used Distributions5 Confidence Intervals6 Hypothesis Testing7 Correlation and Simple Linear Regression8 Multiple Regression9 Factorial Experiments10 Statistical Quality ControlA TablesB Partial DerivativesC Suggestions for Further Reading Answers to Selected ExercisesIndex


INTRODUCTION TO PROBABILITY AND STATISTICSPrinciples and Applications for Engineering and the Computing Sciences, Fourth EditionBy J Susan Milton, Emeritus, Radford University and Jesse C Arnold, Virginia Polytechnic Institute2003 / 816 pages ISBN-13: 978-0-07-246836-6 / MHID: 0-07-246836-XISBN-13: 978-0-07-124248-6 / MHID: 0-07-124248-1 [IE, 2-colour Text]ISBN-13: 978-0-07-119859-2 / MHID: 0-07-119859-8 [IE]

http://www.mhhe.com/miltonarnoldCoNteNts1 Introduction to Probability and Counting:Interpreting Probabilities .Sample Spaces and Events .Permutations and Combinations .2 Some Probability Laws.Axioms of Probability .Conditional Probability .Independence and the Multiplication Rule .Bayes’ Theorem .3 Discrete Distributions.Random Variables .Discrete Probablility Densities .Expectation and Distribution Parameters .Geometric Distribution and the Moment Generating Function .Binomial Distribution .Negative Binomial Distribution .Hypergeometric Distribution .Poisson Distribution .4 Continuous Distributions.Con-tinuous Densities .Expectation and Distribution Parameters .Gamma Distribution .Normal Distri-bution .Normal Probability Rule and Chebyshev’s Inequality .Normal Approximation to the Binomial Distribution .Weibull Distribution and Reliability .Transformation of Variables .Simulating a Continuous Distribution .5 Joint Distributions.Joint Densities and Independence .


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Expectation and Covariance .Correlation .Conditional Densities and Regression .Transformation of Variables .6 Descriptive Statistics.Random Sampling .Picturing the Distribution .Sample Statistics .Boxplots .7 Estimation.Point Estimation .The Method of Moments and Maximum Likelihood .Functions of Random Variables - Distribution of X .Interval Estimation and the Central Limit Theorem .8 Inferences on the Mean and Variance of a Distribution.Interval Estimation of Variability .Estimating the Mean and the Student-t Distribution .Hypothesis Testing .Significance Testing .Hypothesis and Significance Tests on the Mean .Hypothesis Tests .Alternative Nonparametric Methods .9 Inferences on Proportions.Estimating Proportions .Testing Hypothesis on a Proportion .Comparing Two Proportions: Estimation .Coparing Two Proportions: Hypothesis Testing .10 Comparing Two Means and Two Variances.Point Estimation .Comparing Variances: The F Distribution .Comparing Means: Variances Equal (Pooled Test) .Comparing Means: Variances Unequal .Compairing Means: Paried Data .Alternative Nonparametric Methods .A Note on Technology .11 Sample Linear Regression and Correlation.Model and Parameter Estimation .Properties of Least-Squares Estimators .Confidence Interval Estimation and Hypothesis Testing .Repeated Measurements and Lack of Fit .Residual Analysis .Correlation .12 Multiple Linear Regression Models.Least-Squares Procedures for Model Fitting .A Matrix Approach to Least Squares .Properties of the Least-Squares Estimators .Interval Estimation .Testing Hypotheses about Model Parameters .Use of Indicator or “Dummy” Variables .Criteria for Variable Selection .Model Transformation and Concluding Remarks .13 Analysis of Variance.One-Way Classification Fixed-Effects Model .Comparing Variances .Pairwise Comparison .Testing Contrasts .Randomized Complete Block Design .Latin Squares .Random-Effects Models .Design Models in Matrix Form .Alternative Nonparametric Methods .14 Factorial Experiments.Two-Factor Analysis of Variance .Extension to Three Factors .Random and Mixed Model Factorial Experiments .2^k Factorial Experiments .2^k Factorial Experiments in an Incomplete Block Design .Fractional Factorial Experiments .15 Categorical Data.Multinomial Distribution .Chi-Squared Goodness of Fit Tests .

Testing for Independence .Comparing Proportions .16 Statistical Quality Control.Properties of Control Charts .Shewart Control Charts for Measurements .Shewart Control Charts for Attributes .Tolerance Limits .Acceptance Sampling .Two-Stage Acceptance Sampling .Extensions in Quality Control .Appendix A Statistical Tables .Appendix B Answers to Selected Problems .Appendix C Selected Derivations

ENGINEERING STATISTICS DEMYSTIFIEDBy Larry J Stephens, University of Nebraska, Omaha2007 (December 2006) / 448 pagesISBN-13: 978-0-07-146272-3 / MHID: 0-07-146272-4A Professional PublicationClueless? Feel Like a Dummy? Get Demystified!

This versatile reference offers solid coverage of the basics of traditional engineering statistics and also incorporates examples from the most popular statistical software programs, making it equally valuable to professionals .

CoNteNtsPreface AcknowledgmentsChapter 1: Treatment of Data Using EXCEL, MINITAB, SAS, SPSS, and STATISTIX Chapter 2: Probability Chapter 3: Probability Distributions for Discrete Random Variables Chapter 4: Probability Densities for Continuous Random Variables and Introduction to MAPLE Chapter 5: Sampling Distributions Chapter 6: Inferences Concerning Means Chapter 7: Inferences Concerning Variances Chapter 8: Inferences Concerning Proportions Final Examinations Solutions To Chapter Exercises Bibliography Index






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MULTIVARIATE STATISTICAL METHODS IN QUALITY MANAGEMENTBy Kai Yang and Jayant Trewn 2004 / Hardcover / 299 pages ISBN-13: 978-0-07-143208-5 / MHID: 0-07-143208-6A Professional PublicationCoNteNtsChapter 1: Multivariate Statistical Methods and Quality .Chapter 2: Graphical Multivariate Data Display and Data Stratification .Chapter 3: Introduction to Multivariate Random Variables, Normal Distribution, and Sampling Properties .Chapter 4: Multivariate Analysis of Variance .Chapter 5: Principal Component Analysis and Factor Analysis .Chapter 6: Discriminant Analysis .Chapter 7: Cluster Analysis .Chapter 8: Mahalanobis Distance and Taguchi Method .Chapter 9: Path Analysis and the Structural Method .Chapter 10: Multivariate Statistical Process Control .Appendix: Probability Distribution Tables .References .Index

Business Statistics


COMPLETE BUSINESS STATISTICS WITH STUDENT CDSeventh EditionBy Aczel2009 (February 2008)ISBN-13: 978-0-07-723969-5 / MHID: 0-07-723969-5ISBN-13: 978-0-07-128753-1 / MHID: 0-07-128753-1


New

BUSINESS STATISTICS IN PRACTICEFifth EditionBy Bruce L Bowerman and Richard T O’Connell of Miami University of OH-Oxford2009 (February 2008) / 896 pagesISBN-13: 978-0-07-337359-1 / MHID: 0-07-337359-1ISBN-13: 978-0-07-724253-4 / MHID: 0-07-724253-X (with Student CD)

http://www.mhhe.com/bowerman5e(Details unavailable at press time)


ESSENTIALS OF BUSINESS STATISTICS WITH STUDENT CDSecond Edition

By Bruce Bowerman and Richard O’Connell of Miami University University, Oxford and J Burdeane Orris, Butler University

2008 (December 2006)ISBN-13: 978-0-07-331988-9 / MHID: 0-07-331988-0ISBN-13: 978-0-07-128605-3 / MHID: 0-07-128605-5 [IE]

Browse http://www.mhhe.com/bowermaness2eThe new edition of Essentials of Business Statistics delivers clear and understandable explanations of core business statistics concepts, making it ideal for a one term course in business statistics . Containing continuing case studies that emphasize the theme of business improvement, the text offers real applications of statistics that are relevant to today’s business students . The authors motivate students by showing persuasively how the use of statistical techniques in support of business decision-making helps to improve business processes . A variety of computer centered examples and exercises, and a robust, technology-based ancillary package are designed to help students master this subject .

New to this editioN

Business Improvement – ‘Business Improvement’ theme, �connecting statistical analysis and business decision making, is highlighted and called out with BI icons in the book .

The Z versus T Decision--The Z versus T decision is governed �by sigma known-unknown rather than by sample size . This is a reasonably significant change reflecting a new and widely accepted direction in this course area .

Hypothesis Testing – Hypothesis testing is approached using a �new stepped method, which makes the material easier to learn . This new method received outstanding reviews .

Internet Tutorials and Exercises highlight real work applications �and give students practice in gathering and using real data .

CoNteNtsChapter 1: An Introduction to Business StatisticsChapter 2: Descriptive StatisticsChapter 3: ProbabilityChapter 4: Discrete Random VariablesChapter 5: Continuous Random VariablesChapter 6: Sampling DistributionsChapter 7: Confidence IntervalsChapter 8: Hypothesis TestingChapter 9: Statistical Inferences Based on Two SamplesChapter 10: Experimental Design and Analysis of VarianceChapter 11: Chi Square TestsChapter 12: Simple Linear Regression AnalysisChapter 13: Multiple Regression and Model-BuildingChapter 14: Process Improvement Using Control (On CD ROM) Appendix A . Statistical TablesAppendix B . Covariance and CorrelationAppendix C (1) Counting RulesAppendix C (2) The Hypergeometric DistributionAppendix D The Normal Probability PlotAppendix E Two-Way Analysis of Variance (On CD ROM)


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BASIC STATISTICS FOR BUSINESS AND ECONOMICS WITH STUDENT CDSixth EditionBy Douglas A Lind, Coastal Carolina University, William G Marchal, University of Toledo and Samuel A Wathen, Coastal Carolina University2008 (November 2007)ISBN-13: 978-0-07-723096-8 / MHID: 0-07-723096-5ISBN-13: 978-0-07-126365-8 / MHID: 0-07-126365-9 [IE]http://www.mhhe.com/lindbasic6eLind/Marchal/Wathen: Basic Statistics for Business and Economics, Sixth edition is a derivative of the best-selling Statistical Techniques in Business and Economics, offering the essential topics of statistical tools and methods delivered in a student friendly, step-by-step format . The text is non-threatening and presents concepts clearly and succinctly with a conversational writing style . All statistical concepts are illustrated with solved applied examples immediately upon introduction . Modern computing tools and applications are introduced, but the text maintains a focus on presenting statistics content as opposed to technology or programming methods, and the sixth edition continues as a “students” text with increased emphasis on interpretation of data and results .

New to this editioN

Basic Statistics for Business and Economics provides a short and �understandable, step by step approach . Based on the more complete Statistical Techniques for Business and Economics, Basic has the same style and content coverage, just fewer chapters and optional topics in a shorter, less expensive text . Reading and homework assignments will be less intimidating to beginning students and students will be more motivated to use a text that looks and feels easier to use .

More real world data and scenarios are used in exercises �and examples, providing students with more realistic and relevant applications and motivation . Optional computer exercises and web-based exercise allow students to use technology and the World Wide Web for very current information and data for projects at the direction of the instructor .

CoNteNts1 What Is Statistics? 2 Describing Data: Frequency Distributions and Graphic Presentation 3 Describing Data: Numerical Measures 4 Describing Data: Displaying and Exploring Data 5 A Survey of Probability Concepts 6 Discrete Probability Distributions 7 Continuous Probability Distributions 8 Sampling Methods and the Central Limit Theorem 9 Estimation and Confidence Intervals 10 One-Sample Tests of Hypothesis 11 Two-Sample Tests of Hypothesis 12 Analysis of Variance 13 Linear Regression and Correlation 14 Multiple Regression and Correlation Analysis 15 Chi-Square Applications MegaStat for Excel Visual Statistics Appendixes, Tables, Data Sets, Solutions Photo Credits Index

New

BASIC STATISTICS USING EXCEL TO ACCOMPANY STATISTICAL TECHNIQUES IN BUSINESS AND ECONOMICSThirteenth EditionBy Douglas Lind, Coasta Carolina University2008 (October 2006) ISBN-13: 978-0-07-303026-5 / MHID: 0-07-303026-0



STATISTICAL TECHNIQUES IN BUSINESS AND ECONOMICSThirteenth Edition

By Douglas Lind, Coastal Carolina University, William Marchal, University of Toledo and Samuel Wathen, Coastal Carolina University

2008 (October 2006) ISBN-13: 978-0-07-327296-2 / MHID: 0-07-327296-5 (with Student CD)ISBN-13: 978-0-07-128575-9 / MHID: 0-07-128575-X [IE with Student CD]

Browse http://www.mhhe.com/lind13eThe new edition of Lind’s Statistical Techniques in Business and Economics is a perennial market best seller due to its comprehensive coverage of statistical concepts and methods delivered in a student-friendly, step-by-step format . The text is non-threatening and presents concepts clearly and succinctly with a conversational writing style . All statistical concepts are illustrated with solved applied examples immediately upon introduction . Self reviews and exercises for each section, and review sections for groups of chapters also support the student learning steps . Modern computing applications (Excel, Minitab, and MegaStat) are introduced, but the text maintains a focus on presenting statistics concepts as applied in business as opposed to technology or programming methods . The thirteenth edition continues as a students’ text with increased emphasis on interpretation of data and results .

New to this editioN

Z Versus T: The division between the z and t distributions is based �sigma known or unknown rather than on sample sizes

Multiple Regression: Treatment now includes an investigation of �the theory behind the linear model along with tests for the violation of each assumption .

Robust Technology Package: Lind 13e features additional �detail in the software sections, is available with Homework Manager/Homework Manager Plus, and is available as a Zinio eBook . Excel, MegaStat, and Minitab are integrated throughout the text, in enough detail to support students . The comprehensive, user-friendly Student CD includes MegaStat, Visual Statistics, ScreenCam tutorials and additional study resources .

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CoNteNtsChapter 1: What Is Statistics?Chapter 2: Describing Data: Frequency Tables, Frequency Distributions, and Graphic PresentationChapter 3: Describing Data: Numerical MeasuresChapter 4: Describing Data: Displaying and Exploring DataChapter 5: A Survey of Probability ConceptsChapter 6: Discrete Probability DistributionsChapter 7: Continuous Probability DistributionsChapter 8: Sampling Methods and the Central Limit TheoremChapter 9: Estimation and Confidence IntervalsChapter 10: One-Sample Tests of HypothesisChapter 11: Two-Sample Tests of HypothesisChapter 12: Analysis of VarianceChapter 13: Linear Regression and CorrelationChapter 14: Multiple Regressions and Correlation AnalysisChapter 15: Index NumbersChapter 16: Time Series and ForecastingChapter 17: Nonparametric Methods: Chi-Square ApplicationChapter 18: Nonparametric Methods: Analysis of Ranked DataChapter 19: Statistical Process Control and Quality ManagementChapter 20: An Introduction to Decision Theory / MegaStat for Excel / Visual Statistics 2 .0 / Appendixes / Photo Credits / Index


BUSINESS STATISTICS IN PRACTICE Fourth EditionBy Bruce L. Bowerman, and Richard T. O’Connell, both of Miami University Of Ohio-Oxford2007 (December 2005)ISBN-13: 978-0-07-325291-9 / MHID: 0-07-325291-3 (with Student CD)ISBN-13: 978-0-07-126118-0 / MHID: 0-07-126118-4[IE with Student CD]

The new edition of Business Statistics in Practice delivers clear and understandable explanations of business statistics concepts through the use of continuing case studies and an emphasis on business improvement . The cases and examples show real applications of statistics relevant to today’s business students . The authors motivate students by showing persuasively how the use of statistical techniques in support of business decision-making helps to improve business processes . A variety of computer centered examples and exercises, and a robust, technology-based ancillary package are designed to help students master this subject . Acknowledging the importance of spreadsheets and statistical software in their statistical instruction, the authors continue to integrate Excel and Minitab output throughout the text . In addition, a new enhanced version of MegaStat, an Excel add-in program designed to optimize Excel for statistical application, is available free on the Student CD . For students and instructors who want to explore statistical concepts from a graphical perspective, Visual Statistics is again available on the Student CD . New Business Improvement icons are integrated throughout the text to illustrate the ‘BI’ theme .

CoNteNts1 . An Introduction to Business Statistics .2 . Descriptive Statistics .3 . Probability4 . Discrete Random Variables .5 . Continuous Random Variables .6 . Sampling Distributions7 . Confidence Intervals .8 . Hypothesis Testing .9 . Statistical Inferences Based on Two Samples10 . Experimental Design and Analysis of Variance .

11 . Simple Linear Regression Analysis12 . Multiple Regression and Model Building .13 . Time Series Forecasting .14 . Process Improvement Using Control Charts .15 . Nonparametric Methods .16 . Chi-Square Tests17 . Decision TheoryAppendix A: Statistical TablesAppendix B: Covariance and CorrelationAppendix C: • Part I: Counting Rules • Part II The Hypergeometric DistributionAppendix D: The Normal Probability PlotAppendix E: • Part I: Properties of the Mean and the Variance of a Random Variable, and CovarianceAppendix F: • Part I: Stratified Random Sampling. Answers to Most Odd-Numbered Exercises . References . Index .Appendix E: (Part 2) Derivations of the Mean and Variance of x and p On CD-ROM .Appendix F: (Part 2) Cluster Sampling and Ratio Estimation On CD-ROM .Appendix G: Using Matrix Algebra to Perform Regression Calculations On CD-ROM


BUSINESS FORECASTING WITH FORECAST X SOFTWAREFifth EditionBy J. Holton Wilson, Central Michigan University, Barry Keating, University Of Notre Dame, and John Galt Solutions Inc. 2007 (December 2005) ISBN-13: 978-0-07-320398-0 / MHID: 0-07-320398-X (with Student CD)ISBN-13: 978-0-07-124494-7 / MHID: 0-07-124494-8 [IE with CD]

Browse http://www.mhhe.com/business/opsci/wilson5eThe Fifth Edition of Business Forecasting is the most practical forecasting book on the market with the most powerful software—Forecast X . This new edition presents a broad-based survey of business forecasting methods including subjective and objective approaches . As always, the author team of Wilson and Keating deliver practical how-to forecasting techniques, while theory and math are held to a minimum . This edition focuses on the most proven, acceptable methods used commonly in business and government such as regression, smoothing, decomposition, and Box-Jenkins . This new edition continues to integrate the most comprehensive software tool available in this market, Forecast X . With the addition of ForeCastX, this text provides the most complete and up-to-date coverage of forecasting concepts with the most technologically sophisticated software package on the market . This Excel-based tool (which received a 4 point out 5 rating from PC Magazine, Oct . 2, 2000 issue) effectively uses wizards and many tools to make forecasting easy and understandable .

CoNteNtsChapter 1 Introduction to Business ForecastingChapter 2 The Forecast Process, Data Considerations, and Model SelectionChapter 3 Moving Averages and Exponential SmoothingChapter 4 Introduction to Forecasting with Regression MethodsChapter 5 Forecasting with Multiple RegressionsChapter 6 Times-Series DecompositionChapter 7 ARIMA (Box-Jenkins) – Type Forecasting ModelsChapter 8 Combining Forecast ResultsChapter 9 Forecast Implications


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COMPLETE BUSINESS STATISTICSSixth EditionBy Amir D. Aczel , Bentley College2006 / Hardcover ISBN-13: 978-0-07-312698-2 / MHID: 0-07-312698-5 (with Student CD)ISBN-13: 978-0-07-124416-9 / MHID: 0-07-124416-6 [IE with CD]

Browse http://www.mhhe.com/aczel6eStatistical integrity with a complete Excel solution, this new edition of Complete Business Statistics offers revised sections on regression analysis and updated cases highlighting companies across the globe .

CoNteNts0 . Working with Templates1 . Introduction and Descriptive Statistics2 . Probability3 Random Variables4 . The Normal Distribution5 . Sampling and Sampling Distributions6 . Confidence Intervals7 . Hypothesis Testing8 . The Comparison of Two Populations9 Analysis of Variance10 . Simple Linear Regression and Correlation11 . Multiple Regression and Correlation12 . Time Series, Forecasting, and Index Numbers13 . Quality Control and Improvement14 . Nonparametric Methods and Chi-Square Test15 . Bayesian Statistics and Decision AnalysisAppendicesA: ReferencesB: Answers to Most Odd-Numbered ProblemsC: Statistical Tables On the CD16 . Sampling Methods17 . Multivariate Analysis

BASIC STATISTICS USING EXCEL FOR OFFICE XPTwelve EditionBy Douglas Lind, Coasta Carolina University, William Marchal, University of Toledo and Robert Mason2005 ISBN-13: 978-0-07-286828-9 / MHID: 0-07-286828-7

CoNteNts1 . What is Statistics?2 . Describing Data: Frequency Distributions and Graphic Presentation3 . Describing Data: Numerical Measures4 . Describing Data: Displaying and Exploring Data5 . A Survey of Probability Concepts6 . Discrete Probability Distributions7 . Continuous Probability Distributions8 . Sampling Methods and the Central Limit Theorem9 . Estimation and Confidence Intervals10 . One-Sample Tests of Hypothesis11 .Two-Samples Tests of Hypothesis12 . Analysis of Variance13 . Linear Regression and Correlation14 . Multiple Regression and Correlation Analysis

15 . Nonparametric Methods: Chi-Square Applications16 . Nonparametric Methods: Analysis of Ranked Data17 . Statistical Quality Control18 . Index Numbers19 . Time Series and Forecasting20 . An Introduction to Decision TheoryAppendixesAnswers to Odd-Numbered Chapter ExercisesAnswers to Odd-Numbered Review ExercisesPhoto CreditsIndex


APPLIED LINEAR REGRESSION MODELSFourth EditionBy Michael H Kutner, Emory University; Christopher J Nachtsheim, University of Minnesota and John Neter, University of Georgia2004 / 672 pages ISBN-13: 978-0-07-301466-1 / MHID: 0-07-301466-4 (with Student CD)ISBN-13: 978-0-07-123252-4 / MHID: 0-07-123252-4 (IE)

http://www.mhhe.com/kutnerALRM4eCoNteNtsPart 1 Simple Linear Regression:1 Linear Regression with One Predictor Variable .2 Inferences in Regression and Correlation Analysis .3 Diagnostics and Remedial Measures .4 Simultaneous Inferences and Other Topics in Regression Analysis .5 Matrix Approach to Simple Linear Regression Analysis .Part 2 Multiple Linear Regression:6 Multiple Regression I .7 Multiple Regression II .8 Building the Regression Model I: Models for Quantitative and Qualitative Predictors .9 Building the Regression Model II: Model Selection and Validation .10 Building the Regression Model III: Diagnostics .11 Remedial Measures and Alternative Regression Techniques .12 Autocorrelation in Time Series Data .Part 3 Nonlinear Regression:13 Introduction to Nonlinear Regression and Neural Networks .14 Logistic Regression, Poisson Regression, and Generalized Linear Models

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PRACTICAL BUSINESS STATISTICSFifth EditionBy Andrew F Siegel, University of Washington2003 / 816 pages / hardcover ISBN-13: 978-0-07-282125-3 / MHID: 0-07-282125-6 (with Student CD)ISBN-13: 978-0-07-121338-7 / MHID: 0-07-121338-4 [IE with Student CD]

http://www.mhhe.com/siegel5eCoNteNtsPART I: INTRODUCTION: DEFINING THE ROLE OF STATISTICS IN BUSINESS.1 Introduction: Defining the Role of Statistics in Business .2 Data Structures: Classifying the Various Types of Data Sets .3 Histograms: Looking at the Distribution of Data .4 Landmark Summaries: Interpreting Typical Values and Percentiles .5 Variabilty: Dealing With Diversity .PART II: PROBABILITY.6 Probability: Understanding Random Situations .7 Random Variables: Working With Uncertain Numbers .PART III: STATISTICAL INFERENCE.8 Random Sampling .9 Confidence Intervals: Admitting That Estimates Are Not Exact .10 Hypothesis Testing: Deciding Between Reality And Coincidence .PART IV: REGRESSION AND TIME SERIES.11 Correaltion And Regression: Measuring And Predicting Relationships .12 Multiple Regression: Predicting One Factor From Several Others .13 Report Writing: Communicating The Results Of A Multiple Regression .14 Time Series: Understanding Changes Over Time .PART V: METHODS AND APPLICATIONS.15 Anova: Testing For Differences Among Many Samples, And Much More .16 Nonparametrics: Testing With Ordinal Data Or Nonnormal Distributions .17 Chi-Squared Analysis: Testing For Patterns In Qualitive Data .18 Quality Control: Recognizing And Managing Variation .Appendix A: Employee Database .Appendix B: Donations Database .Appendix C: Self-Test: Solutions To Selected Problems And Database Exercises .Appendix D: Statistical Tables .Appendix E: Statpad Quick Reference Guide

INTRODUCTORY MATHEMATICS AND STATISTICS FOR BUSINESSFourth EditionBy John Croucher, Macquarie University, NSW, Australia2002 / 784 pagesISBN-13: 978-0-07-471042-5 / MHID: 0-07-471042-7McGraw-Hill Australia Title

CoNteNtsPreface .Guided tour .MATHEMATICS:Chapter 1 Basics Mathematics .Chapter 2 Percentages .Chapter 3 Algebra .Chapter 4 Ratios And Proportions .Chapter 5 Simple Interest .Chapter 6 Compound Interest .Chapter 7 Annuities .Chapter 8 Depreciation .Chapter 9 Graphing .APPENDIXES:A: A test of basic mathematics .B: Trial examination .TABLES:1 Amount at compound interest tables .2 Present value at compound interest tables .3 Future value of an annuity tables .4 Table of common logarithms .Summary Of Useful Mathematical Formulae .Solutions To Selected Exercises .STATISTICS:Chapter 1 Introduction To Statistics .Chapter 2 Visual Presentation Of Data .Chapter 3 Measures Of Central Tendency .Chapter 4 Measures Of Dispersion .Chapter 5 Sampling .Chapter 6 Elementary Probability .Chapter 7 The Normal Distribution .Chapter 8 Correlation .Chapter 9 Regression Analysis .Chapter 10 Index Numbers .Chapter 11 Time Series And Trend Analysis .Chapter 12 Hypothesis Testing .Chapter 13 Analysis Of Frequency Data .APPENDIXES:A: A note on summation notation .B: A note on calculators .C: A note on computer packages Minitab, SPSS, Microsoft Excel for Windows .D: Trial examinations .TABLES:1 Areas under the standard normal curve .2 Critical values for the t-distribution .3 Critical values for the rank correlation coefficient .4 Critical values for the chi-square distribution .A Summary Of Useful Statistical Formulae .Solutions To Selected Exercises .Glossary .Index


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STATISTICSMaking Business DecisionsBy John Croucher, Macquarie University, NSW, Australia2002 / 528 pages ISBN-13: 978-0-07-471041-8 / MHID: 0-07-471041-9McGraw-Hill Australia Title

CoNteNtsPreface .Guided Tour .Chapter 1 Introduction to Statistics .Chapter 2 Visual Presentation of Data .Chapter 3 Measures of Central Tendency .Chapter 4 Measures of Dispersion .Chapter 5 Sampling .Chapter 6 Elementary Probability .Chapter 7 The Normal Distribution .Chapter 8 Correlation .Chapter 9 Regression Analysis .Chapter 10 Index Numbers .Chapter 11 Time Series And Trend Analysis .Chapter 12 Hypothesis Testing .Chapter 13 Analysis of Frequency Data .APPENDIXES:A: A note on summation notation .B: A note on calculators .C: A note on computer packages — Minitab, SPSS®, Microsoft Excel for Windows .D: Trial examinations .TABLES:1 Areas under the standard normal curve .2 Critical values for the t-distribution .3 Critical values for the rank correlation coefficient .4 Critical values for the chi-square distribution .A Summary of Useful Statistical Formulae .Solutions to Selected Exercises .Glossary .Index

SCHAUM’S OUTLINE OF BEGINNING STATISTICSSecond EditionBy Larry Stephens, University of Nebraska, Omaha2006 (December 2005) / 416 pagesISBN-13: 978-0-07-145932-7 / MHID: 0-07-145932-4A Schaum’s PublicationThis study tool is ideal if you wish to master the basics for an introductory course or solo study . This new edition includes output from Excel, SAS, SPSS, STATISTIX, and MINITAB, all of which are now in general use for college courses on statistics at this level . It will also include up-to-date statistical examples taken from the latest media sources .


SCHAUM’S OUTLINE OF BUSINESS STATISTICSFourth EditionBy Leonard J. Kazmier, Arizona State University2004 / 432 pages ISBN-13: 978-0-07-141080-9 / MHID: 0-07-141080-5ISBN-13: 978-0-07-123679-9 / MHID: 0-07-123679-1 [IE]A Schaum’s Publication(International Edition is not for sale in Japan)

Conforming to the current business statistics curriculum, this fourth edition of Schaum’s Outline of Business Statistics reflects recent changes in the course as well as in general practice, including new sections in each chapter on the application of Excel—the most used program in offices throughout the world—making this the first book to address this change in the curriculum . The fourth edition continues to provide a direct and effective tool for learning the fundamentals of business statistics without the technical verbiage .

SCHAUM’S EASY OUTLINE OF BUSINESS STATISTICSBy Leonard J. Kazmier, Arizona State University2003 / 160 pagesISBN-13: 978-0-07-139876-3 / MHID: 0-07-139876-7A Schaum’s PublicationCoNteNtsChapter 1: Analyzing Business DataChapter 2: Statistical Presentations and Graphical AnalysisChapter 3: Describing Business Data: Measures of LocationChapter 4: Describing Business Data: Measures of VariabilityChapter 5: ProbabilityChapter 6: Probability Distributions for Discrete Random VariablesChapter 7: Probability Distributions for Continuous Random VariablesChapter 8: Sampling Distributions and Confidence Intervals for the MeanChapter 9: Other Confidence IntervalsChapter 10: Testing Hypotheses Concerning the Value of the Population MeanChapter 11: Testing Other HypothesesChapter 12: The Chi-Square TestChapter 13: Analysis of VarianceChapter 14: Linear Regression and Correlation AnalysisChapter 15: Multiple Regression and CorrelationChapter 16: Time Series Analysis and Business ForecastingChapter 17: Index Numbers for Business and Economic DataChapter 18: Decision Analysis: Payoff Tables And Decision TreesChapter 19: Decision Analysis: The Use of the Sample InformationChapter 20: Statistical Process ControlChapter 21: Nonparametric StatisticsAppendices

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SCHAUM’S OUTLINE OF STATISTICS AND ECONOMETRICSSecond EditionBy Dominick Salvatore, Fordham University—Bronx and Derrick Reagle 2002 / 256 pages ISBN-13: 978-0-07-134852-2 / MHID: 0-07-134852-2 A Schaum’s PublicationCoNteNtsIntroduction .Descriptive Statistics .Probability and Probability Distributions .Statistics Inference: Estimation .Statistical Inference: Testing Hypothesis .Statistics Examination .Simple Regression Analysis .Multiple Regression Analysis .Problems in Regression Analysis .Further Techniques and Applications in Regression Analysis .Simultaneous-Equations Methods .Time Series Econometrics .Statistics Examination .Bionomial Distribution .Poisson Distribution .Standard Normal Distribution .Table of Random Numbers .Student t Distribution .Chi-Square Distribution .F Distribution .Durbin-Watson Statistics .Critical Values of Runs in the Run Tests .

Advanced Statistics


APPLIED LINEAR STATISTICAL MODELSFifth EditionBy Michael H Kutner, Emory University; Christopher J Nachtsheim, University of Minnesota; John Neter, University of Georgia and William Li, University of Minnesota2005 / 1,200 pagesISBN-13: 978-0-07-310874-2 / MHID: 0-07-310874-X (with CD) ISBN-13: 978-0-07-112221-4 / MHID: 0-07-112221-4 [IE with CD]

CoNteNtsPart 1 Simple Linear Regression:1 Linear Regression with One Predictor Variable .2 Inferences in Regression and Correlation Analysis .3 Diagnostic and Remedial Measures .4 Simultaneous Inferences and Other Topics in Regression Analysis .5 Matrix Approach to Simple Linear Regression Analysis .Part 2 Multiple Linear Regression:6 Multiple Regression I .7 Multiple Regression II .8 Regression Models for Quantitative and Qualitative Predictors .9 Building the Regression Model I: Model Selection and Validation .10 Building the Regression Model II: Diagnostics .11 Building the Regression Model III: Remedial Measures .12 Autocorrelation in Time Series Data .Part 3 Nonlinear Regression:13 Introduction to Nonlinear Regression and Neural Networks .14 Logistic Regression, Poisson Regression, and Generalized Linear Models .Part 4 Design and Analysis of Single-Factor Studies:15 Introduction to the Design of Experimental and Observational Studies .16 Single Factor Studies .17 Analysis of Factor-Level Means .18 ANOVA Diagnostics and Remedial Measures .Part 5 Multi-Factor Studies:19 Two Factor Studies with Equal Sample Sizes .20 Two Factor Studies-One Case per Treatment .21 Randomized Complete Block Designs .22 Analysis of Covariance .23 Two Factor Studies with Unequal Sample Sizes .24 MultiFactor Studies .25 Random and Mixed Effects Models .Part 6 Specialized Study Designs:26 Nested Designs, Subsampling, and Partially Nested Designs .27 Repeated Measures and Related Designs .28 Balanced Incomplete Block, Latin Square, and Related Designs .29 Exploratory Experiments: Two-Level Factorial and Fractional Factorial Designs .30 Response Surface Methodology .Appendix A: Some Basic Results in Probability and Statistics .Appendix B: Tables .Appendix C: Data Sets .Appendix D: Rules for Develping ANOVA Models and Tables for Balanced Designs .Appendix E: Selected Bibliography

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TITLE INDEX

126

AAlgebra Demystified Huettenmueller 16

Algebra for College Students Miller 36

Algebra for College Students, 5e Dugopolski 34

Applied and Algorithmic Graph Theory Chartrand 96

Applied Calculus for Business, Economics, and the Social and Life Sciences, Expanded Edition, 9e Hoffmann 67

Applied Linear Regression Models, 4e Kutner 122

Applied Linear Statistical Models, 5e Kutner 125

Applied Mathematics for Business, Economics and the Social Science, 4e Budnick 42

BBasic College Mathematics Miller 6

Basic College Mathematics, 2e Bello 6

Basic Mathematical Skills with Geometry, 7e Hutchison 5

Basic Statistics for Business and Economics with Student CD, 6e Lind 120

Basic Statistics Using Excel for Office XP, 12e Lind 122

Basic Statistics Using Excel to Accompany Statistical Techniques in Business and Economics, 13e Lind 120

Beginning Algebra, 2e Miller 14

Beginning Algebra, 7e Hutchison 13

Beginning and Intermediate Algebra, 2e Hall 20

Beginning and Intermediate Algebra, 2e Messersmith 18

Beginning and Intermediate Algebra, 2e Miller 24

Beginning and Intermediate Algebra: A Unified Worktext Streeter 26

Bob Miller’s Algebra for the Clueless, 2e Miller 16

Bob Miller’s Geometry for the Clueless, 2e Miller 40

Business Calculus Demystified Huettenmueller 69

Business Forecasting with Forecast X Software, 5e Wilson 121

Business Math Demystified Bluman 42

Business Statistics in Practice, 4e Bowerman 121

Business Statistics in Practice, 5e Bowerman 119

CCalculus Demystified Krantz 78

Calculus for Business, Economics, and the Social and Life Sciences, Brief Edition, 9e Hoffmann 68

Calculus with Mathzone: Early Transcendental Functions, 3e Smith 71

Calculus, Single Variable: Late Transcendental Functions, 3e Smith 74

Calculus: Concepts and Connections Smith 72

Calculus: Late Transcendental Functions, 3e Smith 69

Calculus: Multivariable: Early Transcendental Functions, 3e Smith 81

Calculus: Multivariable: Late Transcendental Functions, 3e Smith 80

Calculus: Single Variable: Early Transcendental Functions, 3e Smith 76

TITLE INDEX

127

College Algebra with Trigonometry, 8e Barnett 56

College Algebra with Trigonometry: Graphs and Models Barnett 57

College Algebra Coburn 53

College Algebra, 8e Barnett 52

College Algebra: Graphs and Models, 3e Barnett 51

Complete Business Statistics with Student CD, 7e Aczel 119

Complete Business Statistics, 6e Aczel 122

Complex Analysis, 3e Ahlfors 103

Complex Variables and Applications, 8e Brown 101

DDifferential Equations Demystified Krantz 106

Differential Equations with Applications and Historical Notes, 2e Simmons 87

Differential Equations Ang 86

Differential Equations: A Modeling Approach Ledder 86

Differential Equations: Theory, Technique, and Practice Simmons 85, 87

Discrete Mathematics and its Applications, 6e Rosen 45

Discrete Mathematics by Example Simpson 46

EElementary Algebra, 6e Dugopolski 12

Elementary and Intermediate Algebra, 3e Dugopolski 16

Elementary and Intermediate Algebra, 3e Hutchison 21

Elementary and Intermediate Algebra, Alternate Hardcover Edition, 3e Hutchinson 23

Elementary Linear Algebra, 2e Nicholson 91

Elementary Number Theory, 2e Eynden 100

Elementary Number Theory, 6e Burton 100

Elementary Numerical Analysis: An Algorithmic Approach, 3e Conte 99

Elementary Statistics: A Brief Version, 4e Bluman 109

Elementary Statistics: A Step by Step Approach, 6e Bluman 110

Elements of Partial Differential Equations Sneddon 89

Engineering Statistics Demystified Stephens 118

Essentials of Business Statistics with Student CD, 2e Bowerman 119

Everyday Math Demystified Gibilisco 8

FFive Steps to a 5 AP Calculus AB-BC, 2e Ma 73

Fourier Series and Boundary Value Problems, 7e Brown 88

GGeometry with Geometry Explorer Hvidsten 39

Getting Started with the T1-84 Plus Graphing Calculator Ng 105

Great Jobs for Math Majors, 2e Lambert 105

TITLE INDEX

128

HHigher Engineering Mathematics Ramana 94

History of Mathematics an Introduction (The), 6e Burton 97

How to Solve Word Problems in Arithmetic Pullman 8

How to Solve Word Problems in Calculus Don 78

How to Solve Word Problems in Mathematics Wayne 8

IIntermediate Algebra Hutchison 29

Intermediate Algebra, 2e Bello 33

Intermediate Algebra, 2e Miller 31

Intermediate Algebra, 6e Dugopolski 27

Intermediate Algebra: The Language and Symbolism of Mathematics Hall 32

Introduction to Biostatistics Glover 115

Introduction to Enumerative Combinatorics Bona 93

Introduction to Graph Theory Chartrand 95

Introduction to Mathematical Analysis Parzynski 97

Introduction to Probability and Statistics: Principles and Applications for Engineering and the Milton 114, 117

Computing Sciences, 4e

Introduction to the Theory of Statistics, 3e Mood 115

Introductory Algebra Miller 15

Introductory Algebra, 3e Bello 11

Introductory Mathematics and Statistics for Business, 4e Croucher 123

LLectures in Elementary Probability Theory and Stochastic Processes Falmagne 112

Linear Algebra Demystified McMahon 92

Linear Algebra with Applications, 5e Nicholson 90

MMath for the Anxious Proga 7

Math Proofs Demystified Gibilisco 105

Math Word Problems Demystified Bluman 27

Mathematics for Elementary Teachers: A Conceptual Approach, 7e Bennett 43

Mathematics for Elementary Teachers: An Activity Approach, 7e Bennett 44

Mathematics for Technicians, 5e Alldis 7

Mathematics for Technicians, 6e Alldis 46

Mathematics in Our World Bluman 41

McGraw-Hill Dictionary of Mathematics, 2e McGraw-Hill 106

McGraw-Hill’s Conquering GRE/GMAT Math Moyer 42

Multivariate Statistical Methods in Quality Management Yang 119

TITLE INDEX

129

PPractical Business Statistics, 5e Siegel 123

Prealgebra, 2e Hutchison 9

Pre-Algebra, 3e Bach 10

Pre-Calculus Demystified Huettenmueller 106

Precalculus with Limits, 6e Barnett 60

Precalculus with Mathzone, 6e Barnett 61

Precalculus: Concepts, Connections and Applications Coburn 62

Precalculus: Graphs and Models, 3e Barnett 58

Principles of Mathematical Analysis, 3e Rudin 97

RReady, Set, Go! a Student Guide to SPSS ® 13.0 and 14.0 for Windows, 2e Pavkov 111

Real and Complex Analysis, 3e Rudin 103

Research Projects in Statistics Kincaid 111

SSchaum’s 2,000 Solved Problems in Discrete Mathematics Lipschutz 46

Schaum’s 3,000 Solved Problems in Calculus Mendelson 79

Schaum’s 3,000 Solved Problems in Linear Algebra Lipschultz 92

Schaum’s A-Z Mathematics Berry 7

Schaum’s Easy Outline Intermediate Algebra Steege 34

Schaum’s Easy Outline of Business Statistics Kazmier 124

Schaum’s Easy Outline of Logic Nolt 94

Schaum’s Easy Outline: College Algebra Spiegel 54

Schaum’s Easy Outlines: Calculus Ayres 79

Schaum’s Easy Outlines: Geometry Rich 40

Schaum’s Easy Outlines: Linear Algebra Lipschutz 92

Schaum’s Easy Outlines: Mathematical Handbook of Formulas and Tables Spiegel 106

Schaum’s Easy Outlines: Statistics Spiegel 113

Schaum’s Outline of Advanced Calculus, 2e Wrede 74

Schaum’s Outline of Advanced Mathematics for Engineers and Scientists, SI Metric Spiegel 95

Schaum’s Outline of Beginning Calculs, 3e Mendelson 78

Schaum’s Outline of Beginning Finite Mathematics Lipschutz 44

Schaum’s Outline of Beginning Statistics, 2e Stephens 124

Schaum’s Outline of Business Statistics, 4e Kazmier 124

Schaum’s Outline of Calculus, 5e Ayres 77

Schaum’s Outline of College Algebra, 3e Moyer 54

Schaum’s Outline of Combinatorics Balakrishnan 96

Schaum’s Outline of Complex Variables Spiegel 104

Schaum’s Outline of Differential and Integral Calculus, SI Metric, 3e Ayres 79

Schaum’s Outline of Differential Equations, 3e Bronson 87

Schaum’s Outline of Differential Geometry Lipschutz 101

TITLE INDEX

130

Schaum’s Outline of Discrete Mathematics, 3e Lipschutz 46

Schaum’s Outline of Elementary Algebra, 3e Rich 16

Schaum’s Outline of Elements of Statistics I: Differential Statistics and Probability Bernstein 113

Schaum’s Outline of Elements of Statistics II: Inferential Statistics Bernstein 113

Schaum’s Outline of General Topology Lipschutz 105

Schaum’s Outline of Geometry, 3e Rich 40

Schaum’s Outline of Geometry, 4e Rich 40

Schaum’s Outline of Graph Theory: Including Hundreds of Solved Problems Balakrishnan 96

Schaum’s Outline of Intermediate Algebra Steege 34

Schaum’s Outline of Introduction to Mathematical Economics, 3e Dowling 43

Schaum’s Outline of Introduction to Probability and Statistics Lipschutz 113

Schaum’s Outline of Linear Algebra, 4e Lipschutz 92

Schaum’s Outline of Mathematica Don 79

Schaum’s Outline of Mathematical Handbook of Formulas and Tables, 2e Spiegel 106

Schaum’s Outline of Mathematical Methods for Business and Economics Dowling 43

Schaum’s Outline of Modern Abstract Algebra Ayres 101

Schaum’s Outline of Numerical Analysis, 2e Scheid 99

Schaum’s Outline of Partial Differential Equations DuChateau 89

Schaum’s Outline of Precalculus, 2e Safier 63

Schaum’s Outline of Probability and Statistics, 3e Schiller 115

Schaum’s Outline of Probability, 2e Lipschutz 113

Schaum’s Outline of Review of Elementary Mathematics, 2e Rich 8

Schaum’s Outline of Set Theory and Related Topics, 2e Lipschutz 114

Schaum’s Outline of Statistics and Econometrics, 2e Salvatore 125

Schaum’s Outline of Statistics, 4e Spiegel 112

Schaum’s Outline of Trigonometry, 4e Moyer 56

Schaum’s Outline of Understanding Calculus Concepts Passow 79

Schaum’s Outline of Vector Analysis Spiegel 95

Solving Business Problems Using a Calculator, 6e Polisky 41

SPSS Survival Manual, 3e Pallant 116

Statistical Techniques in Business and Economics, 13e Lind 120

Statistics for Engineers and Scientists, 2e Navidi 117

Statistics for the Utterly Confused, 2e Jaisingh 116

Statistics: A First Course, 6e Sanders 112

Statistics: Making Business Decisions Croucher 124

TTechnical Math Demystified Gibilisco 47

Topology Davis 104

Transition to Higher Mathematics: Structure and Proof Dumas 89

Trigonometry with Mathzone Coburn 54

Trigonometry, Revised 3e Baley 55

AUTHOR INDEX

131

AAczel Complete Business Statistics with Student CD, 7e 119

Aczel Complete Business Statistics, 6e 122

Ahlfors Complex Analysis, 3e 103

Alldis Mathematics for Technicians, 5e 7

Alldis Mathematics for Technicians, 6e 46

Ang Differential Equations 86

Ayres Schaum’s Easy Outlines: Calculus 79

Ayres Schaum’s Outline of Calculus, 5e 77

Ayres Schaum’s Outline of Differential and Integral Calculus, SI Metric, 3e 79

Ayres Schaum’s Outline of Modern Abstract Algebra 101

BBach Pre-Algebra, 3e 10

Balakrishnan Schaum’s Outline of Combinatorics 96

Balakrishnan Schaum’s Outline of Graph Theory: Including Hundreds of Solved Problems 96

Baley Trigonometry, Revised 3e 55

Barnett College Algebra with Trigonometry, 8e 56

Barnett College Algebra with Trigonometry: Graphs and Models 57

Barnett College Algebra, 8e 52

Barnett College Algebra: Graphs and Models, 3e 51

Barnett Precalculus with Limits, 6e 60

Barnett Precalculus with Mathzone, 6e 61

Barnett Precalculus: Graphs and Models, 3e 58

Bello Basic College Mathematics, 2e 6

Bello Intermediate Algebra, 2e 33

Bello Introductory Algebra, 3e 11

Bennett Mathematics for Elementary Teachers: A Conceptual Approach, 7e 43

Bennett Mathematics for Elementary Teachers: An Activity Approach, 7e 44

Bernstein Schaum’s Outline of Elements of Statistics I: Differential Statistics and Probability 113

Bernstein Schaum’s Outline of Elements of Statistics II: Inferential Statistics 113

Berry Schaum’s A-Z Mathematics 7

Bluman Business Math Demystified 42

Bluman Elementary Statistics: A Brief Version, 4e 109

Bluman Elementary Statistics: A Step by Step Approach, 6e 110

Bluman Math Word Problems Demystified 27

Bluman Mathematics in Our World 41

Bona Introduction to Enumerative Combinatorics 93

Bowerman Business Statistics in Practice, 4e 121

Bowerman Business Statistics in Practice, 5e 119

Bowerman Essentials of Business Statistics with Student CD, 2e 119

Bronson Schaum’s Outline of Differential Equations, 3e 87

AUTHOR INDEX

132

Brown Complex Variables and Applications, 8e 101

Brown Fourier Series and Boundary Value Problems, 7e 88

Budnick Applied Mathematics for Business, Economics and the Social Science, 4e 42

Burton Elementary Number Theory, 6e 100

Burton The History of Mathematics an Introduction, 6e 97

CChartrand Applied and Algorithmic Graph Theory 96

Chartrand Introduction to Graph Theory 95

Coburn College Algebra 53

Coburn Precalculus: Concepts, Connections and Applications 62

Coburn Trigonometry with Mathzone 54

Conte Elementary Numerical Analysis: An Algorithmic Approach, 3e 99

Croucher Introductory Mathematics and Statistics for Business, 4e 123

Croucher Statistics: Making Business Decisions 124

DDavis Topology 104

Don How to Solve Word Problems in Calculus 78

Don Schaum’s Outline of Mathematica 79

Dowling Schaum’s Outline of Introduction to Mathematical Economics, 3e 43

Dowling Schaum’s Outline of Mathematical Methods for Business and Economics 43

DuChateau Schaum’s Outline of Partial Differential Equations 89

Dugopolski Algebra for College Students, 5e 34

Dugopolski Elementary Algebra, 6e 12

Dugopolski Elementary and Intermediate Algebra, 3e 16

Dugopolski Intermediate Algebra, 6e 27

Dumas Transition to Higher Mathematics: Structure and Proof 89

EEynden Elementary Number Theory, 2e 100

FFalmagne Lectures in Elementary Probability Theory and Stochastic Processes 112

GGibilisco Everyday Math Demystified 8

Gibilisco Math Proofs Demystified 105

Gibilisco Technical Math Demystified 47

Glover Introduction to Biostatistics 115

HHall Beginning and Intermediate Algebra, 2e 20

Hall Intermediate Algebra: The Language and Symbolism of Mathematics 32

Hoffmann Applied Calculus for Business, Economics, and the Social and Life Sciences, Expanded Edition, 9e 67

AUTHOR INDEX

133

Hoffmann Calculus for Business, Economics, and the Social and Life Sciences, Brief Edition, 9e 68

Huettenmueller Pre-Calculus Demystified 106

Huettenmueller Algebra Demystified 16

Huettenmueller Business Calculus Demystified 69

Hutchinson Elementary and Intermediate Algebra, Alternate Hardcover Edition, 3e 23

Hutchison Basic Mathematical Skills with Geometry, 7e 5

Hutchison Beginning Algebra, 7e 13

Hutchison Elementary and Intermediate Algebra, 3e 21

Hutchison Intermediate Algebra 29

Hutchison Prealgebra, 2e 9

Hvidsten Geometry with Geometry Explorer 39

JJaisingh Statistics for the Utterly Confused, 2e 116

KKazmier Schaum’s Easy Outline of Business Statistics 124

Kazmier Schaum’s Outline of Business Statistics, 4e 124

Kincaid Research Projects in Statistics 111

Krantz Calculus Demystified 78

Krantz Differential Equations Demystified 106

Kutner Applied Linear Regression Models, 4e 122

Kutner Applied Linear Statistical Models, 5e 125

LLambert Great Jobs for Math Majors, 2e 105

Ledder Differential Equations: A Modeling Approach 86

Lind Basic Statistics for Business and Economics with Student CD, 6e 120

Lind Basic Statistics Using Excel for Office XP, 12e 122

Lind Basic Statistics Using Excel to Accompany Statistical Techniques in Business and Economics, 13e 120

Lind Statistical Techniques in Business and Economics, 13e 120

Lipschultz Schaum’s 3,000 Solved Problems in Linear Algebra 92

Lipschutz Schaum’s 2,000 Solved Problems in Discrete Mathematics 46

Lipschutz Schaum’s Easy Outlines: Linear Algebra 92

Lipschutz Schaum’s Outline of Beginning Finite Mathematics 44

Lipschutz Schaum’s Outline of Differential Geometry 101

Lipschutz Schaum’s Outline of Discrete Mathematics, 3e 46

Lipschutz Schaum’s Outline of General Topology 105

Lipschutz Schaum’s Outline of Introduction to Probability and Statistics 113

Lipschutz Schaum’s Outline of Linear Algebra, 4e 92

Lipschutz Schaum’s Outline of Probability, 2e 113

Lipschutz Schaum’s Outline of Set Theory and Related Topics, 2e 114

AUTHOR INDEX

134

MMa Five Steps to a 5 AP Calculus AB-BC, 2e 73

McGraw-Hill McGraw-Hill Dictionary of Mathematics, 2e 106

McMahon Linear Algebra Demystified 92

Mendelson Schaum’s 3,000 Solved Problems in Calculus 79

Mendelson Schaum’s Outline of Beginning Calculs, 3e 78

Messersmith Beginning and Intermediate Algebra, 2e 18

Miller Algebra for College Students 36

Miller Basic College Mathematics 6

Miller Beginning Algebra, 2e 14

Miller Beginning and Intermediate Algebra, 2e 24

Miller Bob Miller’s Algebra for the Clueless, 2e 16

Miller Bob Miller’s Geometry for the Clueless, 2e 40

Miller Intermediate Algebra, 2e 31

Miller Introductory Algebra 15

Milton Introduction to Probability and Statistics: Principles and Applications for Engineering and the 114, 117 Computing Sciences, 4e

Mood Introduction to the Theory of Statistics, 3e 115

Moyer McGraw-Hill’s Conquering GRE/GMAT Math 42

Moyer Schaum’s Outline of College Algebra, 3e 54

Moyer Schaum’s Outline of Trigonometry, 4e 56

NNavidi Statistics for Engineers and Scientists, 2e 117

Ng Getting Started with the T1-84 Plus Graphing Calculator 105

Nicholson Elementary Linear Algebra, 2e 91

Nicholson Linear Algebra with Applications, 5e 90

Nolt Schaum’s Easy Outline of Logic 94

PPallant SPSS Survival Manual, 3e 116

Parzynski Introduction to Mathematical Analysis 97

Passow Schaum’s Outline of Understanding Calculus Concepts 79

Pavkov Ready, Set, Go! a Student Guide to SPSS ® 13.0 and 14.0 for Windows, 2e 111

Polisky Solving Business Problems Using a Calculator, 6e 41

Proga Math for the Anxious 7

Pullman How to Solve Word Problems in Arithmetic 8

RRamana Higher Engineering Mathematics 94

Rich Schaum’s Easy Outlines: Geometry 40

Rich Schaum’s Outline of Elementary Algebra, 3e 16

Rich Schaum’s Outline of Geometry, 3e 40

Rich Schaum’s Outline of Geometry, 4e 40

AUTHOR INDEX

135

Rich Schaum’s Outline of Review of Elementary Mathematics, 2e 8

Rosen Discrete Mathematics and its Applications, 6e 45

Rudin Principles of Mathematical Analysis, 3e 97

Rudin Real and Complex Analysis, 3e 103

SSafier Schaum’s Outline of Precalculus, 2e 63

Salvatore Schaum’s Outline of Statistics and Econometrics, 2e 125

Sanders Statistics: A First Course, 6e 112

Scheid Schaum’s Outline of Numerical Analysis, 2e 99

Schiller Schaum’s Outline of Probability and Statistics, 3e 115

Siegel Practical Business Statistics, 5e 123

Simmons Differential Equations with Applications and Historical Notes, 2e 87

Simmons Differential Equations: Theory, Technique, and Practice 85, 87

Simpson Discrete Mathematics by Example 46

Smith Calculus with Mathzone: Early Transcendental Functions, 3e 71

Smith Calculus, Single Variable: Late Transcendental Functions, 3e 74

Smith Calculus: Concepts and Connections 72

Smith Calculus: Late Transcendental Functions, 3e 69

Smith Calculus: Multivariable: Early Transcendental Functions, 3e 81

Smith Calculus: Multivariable: Late Transcendental Functions, 3e 80

Smith Calculus: Single Variable: Early Transcendental Functions, 3e 76

Sneddon Elements of Partial Differential Equations 89

Spiegel Schaum’s Easy Outline: College Algebra 54

Spiegel Schaum’s Easy Outlines: Mathematical Handbook of Formulas and Tables 106

Spiegel Schaum’s Easy Outlines: Statistics 113

Spiegel Schaum’s Outline of Advanced Mathematics for Engineers and Scientists, SI Metric 95

Spiegel Schaum’s Outline of Complex Variables 104

Spiegel Schaum’s Outline of Mathematical Handbook of Formulas and Tables, 2e 106

Spiegel Schaum’s Outline of Statistics, 4e 112

Spiegel Schaum’s Outline of Vector Analysis 95

Steege Schaum’s Easy Outline Intermediate Algebra 34

Steege Schaum’s Outline of Intermediate Algebra 34

Stephens Engineering Statistics Demystified 118

Stephens Schaum’s Outline of Beginning Statistics, 2e 124

Streeter Beginning and Intermediate Algebra: A Unified Worktext 26

WWayne How to Solve Word Problems in Mathematics 8

Wilson Business Forecasting with Forecast X Software, 5e 121

Wrede Schaum’s Outline of Advanced Calculus, 2e 74

YYang Multivariate Statistical Methods in Quality Management 119

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