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The American Mathematical Society publishes and distributes many exciting titles apart from our popular book series.

In this catalog you will find new and classic titles both geared toward specific readerships and those with broad appeal to anyone interested in mathematics. This includes instructors, graduate students, advanced undergraduates, and any mathematician seeking new or familiar topics presented in a captivating manner. These books are especially valued by readers who are looking for something apart from highly-specialized research texts. The selections in this catalog offer current and classic information in a compre-hensive and engaging style.

Whether you’re browsing for the classroom, an academic library, or your mathematical books collections, you will find many selections of interest.

For more information on the books listed in this catalog, or to view other engaging titles, visit www.ams.org/bookstore/nonseries.

Table of Contents

Algebra and Algebraic Geometry .............................................. 3

Analysis ........................................................................................... 3

Applications ................................................................................... 4

Differential Equations .................................................................. 4

Discrete Mathematics and Combinatorics .............................. 5

General and Interdisciplinary .................................................... 5

Geometry and Topology ............................................................. 11

Mathematical Physics ................................................................... 12

Number Theory ............................................................................ 13

Probability ...................................................................................... 13

Ordering Information .................................................................. 14

Index ................................................................................................ 15

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Algebra and Algebraic Geometry

Applied Linear Algebra The Decoupling Principle, Second EditionLorenzo Sadun, University of Texas, Austin, TX

This text for junior and senior under-graduates treats diagonalization as a central tool in solving complicated problems in mathematics, physics and engineering. The theme of decompo-

sition into eigenspaces leads to sensible explanations of both theoretical and applied phenomena. This second edition includes a series of explorations allowing the reader to use technology for a deeper examination of the material.2008; 371 pp.; hardcover; ISBN: 978-0-8218-4441-0; List US$59; AMS members US$47; Order code: MBK/50

Analysis

The Metric Theory of Tensor Products Grothendieck’s Résumé RevisitedJoe Diestel, Kent State University, OH, Jan H. Fourie, North-West University, Potchefstroom, South Africa, and Johan Swart, University of Pretoria, South Africa2008; 278 pp.; hardcover; ISBN: 978-0-8218-4440-3; List US$79; AMS members US$63; Order code: MBK/52

Fundamentals of the Theory of Operator Algebras. Volume III Special Topics, Elementary Theory—An Exercise ApproachRichard V. Kadison, University of Pennsylvania, Philadelphia, PA, and John R. Ringrose, University of Newcastle, Newcastle upon Tyne, EnglandDistributed worldwide by the American Mathematical Society.1991; 273 pp.; hardcover; ISBN: 978-0-8218-0990-7; List US$41; AMS members US$33; Order code: FTOAN/3

Fundamentals of the Theory of Operator Algebras. Volume IV Special Topics, Advanced Theory—An Exercise ApproachRichard V. Kadison, University of Pennsylvania, Philadelphia, PA, and John R. Ringrose, University of Newcastle, Newcastle upon Tyne, EnglandDistributed worldwide by the American Mathematical Society.1992; 587 pp.; hardcover; ISBN: 978-0-8218-0991-4; List US$62; AMS members US$50; Order code: FTOAN/4

Real Analysis Frank Morgan, Williams College, Williamstown, MA

Reading your book is a refreshingly delightful change from the usual emphasis on series, rather than topology, as a foundation of analysis.—Robert Jones, University

of DusseldorfReal Analysis builds the theory behind calculus directly from the basic concepts of real numbers, limits, and open and closed sets in Rn . It gives the three characterizations of continuity: via epsilon-delta, sequences, and open sets. It gives the three characterizations of compactness: as “closed and bounded,” via sequences, and via open covers. Topics include Fourier series, the Gamma function, metric spaces, and Ascoli’s Theorem.The text not only provides efficient proofs, but also shows the student how to come up with them. The excellent exercises come with select solutions in the back. Here is a real analysis text that is short enough for the student to read and understand and complete enough to be the primary text for a serious under-graduate course.2005; 151 pp.; hardcover; ISBN: 978-0-8218-3670-5; List US$41; AMS members US$33; Order code: REAL

Real Analysis and Applications Including Fourier Series and the Calculus of VariationsFrank Morgan, Williams College, Williamstown, MA

Real Analysis and Applications starts with a streamlined, but complete approach to real analysis. It finishes with a wide variety of applications in Fourier series and the calculus of variations, including minimal surfaces, physics, economics, Riemannian geometry, and general relativity. The basic theory includes all the standard topics: limits of sequences, topology, compactness, the Cantor set and fractals, calculus with the Riemann integral, a chapter on the Lebesgue theory, sequences of functions, infinite series, and the exponential and Gamma functions. The applications conclude with a computation of the relativistic precession of Mercury’s orbit, which Einstein called “convincing proof of the correctness of the theory [of General Relativity].”The text not only provides clear, logical proofs, but also shows the student how to come up with them. The excellent exercises come with select solutions in the back. Here is a text which makes it possible to do the full theory and significant applications in one semester.2005; 197 pp.; hardcover; ISBN: 978-0-8218-3841-9; List US$41; AMS members US$33; Order code: REALAPP

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Tools of the Trade Introduction to Advanced MathematicsPaul J. Sally, Jr., University of Chicago, IL

This book is designed to assist students in mastering the tech-niques of analysis and proof needed to do advanced mathematics. Projects at the end of each chapter form an integral part of the text and

cover topics such as group theory, convergence of infinite series and decimal expansions of real numbers. A collection of chal-lenge problems tests students’ mathematical creativity.2008; 193 pp.; hardcover; ISBN: 978-0-8218-4634-6; List US$49; AMS members US$39; Order code: MBK/55

Complex Function Theory Second EditionDonald Sarason, University of California, Berkeley, CA

This concise introduction to the theory of functions of a complex variable is ideal for a one-semester course on the subject. The author, a master of the subject, covers the basic material through Cauchy’s theorem and applications, plus the Riemann mapping theorem. This second edition includes four appendices with needed background.2007; 163 pp.; hardcover; ISBN: 978-0-8218-4428-1; List US$39; AMS members US$31; Order code: MBK/49

Approximately Calculus Shahriar Shahriari, Pomona College, Claremont, CA

This fascinating book is a novel approach to undergraduate analysis, which combines most topics in single variable calculus with some elementary number theory. ... It is very well written and fully engages readers in its developments, often beginning with examples and leading them to develop generalizations and, ultimately, theorems and proofs. ... An attractive book, well worth consulting for ideas on presenting topics, or for examples.

—J. H. Ellison, Choice Reviews2006; 292 pp.; hardcover; ISBN: 978-0-8218-3750-4; List US$49; AMS members US$39; Order code: ACALC

Invariant Measures John von Neumann1999; 134 pp.; softcover; ISBN: 978-0-8218-0912-9; List US$43; AMS members US$34; Order code: INMEAS

Applications

Models of Conflict and Cooperation Rick Gillman, Valparaiso University, IN, and David Housman, Goshen College, IN

This book offers an introduction to the principles and methodolo-gies of mathematics by means of mathematical game theory, helping to build the fundamental mathe-matical skills of quantitative literacy in general undergraduates. The game models that are discussed include deterministic, strategic, sequential, bargaining, coalition, and fair division games. The reader will begin to think like a mathematician while progressing through the text.2009; 417 pp.; hardcover; ISBN: 978-0-8218-4872-2; List US$69; AMS members US$55; Order code: MBK/65

Essays on the Complexity of Continuous Problems Erich Novak, University of Jena, Germany, Ian H. Sloan, University of New South Wales, Sydney, Australia, and Joseph F. Traub and Henryk Wozniakowski, Columbia University, New York, NYA publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.2009; 105 pp.; hardcover; ISBN: 978-3-03719-069-2; List US$28; AMS members US$22; Order code: EMSCCP

Differential Equations

Dynamics on the Riemann Sphere A Bodil Branner FestschriftPoul Hjorth, Technical University of Denmark, Lyngby, Denmark, and Carsten Lunde Petersen, Roskilde University, Denmark, EditorsA publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.2006; 240 pp.; hardcover; ISBN: 978-3-03719-011-1; List US$79; AMS members US$63; Order code: EMSDRS

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Discrete Mathematics and Combinatorics

Discrete Mathematics Martin Aigner, Freie Universität Berlin, Germany

Aigner offers a very enjoyable review of discrete mathematics at the graduate level.

—Choice Reviews

This introduction to the main ideas and results of discrete mathematics will appeal to mathematicians and computer scientists alike because of its focus on algorithms. The book seeks to present all the topics necessary for further study in the areas making up discrete math-ematics. More than 600 exercises are included, with hints and solutions to about half of them.2007; 388 pp.; hardcover; ISBN: 978-0-8218-4151-8; List US$59; AMS members US$47; Order code: DISCMAT

General and InterdisciplinaryGrothendieck-Serre Correspondence Bilingual EditionThis extraordinary volume contains mathematical correspon-dence between A. Grothendieck and J-P. Serre, two central figures who were key to the development of algebraic geometry. This correspondence forms a vivid introduction to the topic during a period of years in which algebraic geometry went through a remarkable transformation. This book will interest all mathematicians who want to experience the unfolding of great mathematics; strongly recommended for booksellers.This book is jointly published by the AMS and the Société Mathématique de France. SMF members are entitled to AMS member discounts.2004; 600 pp.; hardcover; ISBN: 978-0-8218-3424-4; List US$72; AMS members US$58; Order code: CGS

Mathematics: Frontiers and Perspectives V. Arnold, University of Paris IX, France, and Steklov Mathematical Institute, Moscow, Russia, M. Atiyah, University of Edinburgh, Scotland, P. Lax, New York University-Courant Institute of Mathematical Sciences, NY, and B. Mazur, Harvard University, Cambridge, MA, Editors

The mere names of the editors ensure that [the book] is fascinating and exciting … Do sample them!

—CMS Notes

Editors Michael Atiyah and Peter Lax were winners of the famous Abel Prize awarded by The Norwegian Academy of Science and Letters for outstanding work in mathematics.

Individual members of mathematical societies of the IMU member countries can purchase this volume at the AMS member price when buying directly from the AMS.2000; 459 pp.; softcover; ISBN: 978-0-8218-2697-3; List US$43; AMS members US$34; Order code: MFP.S

Stephen Smale: The Mathematician Who Broke the Dimension Barrier Steve Batterson, Emory University, Atlanta, GA2000; 306 pp.; hardcover; ISBN: 978-0-8218-2045-2; List US$39; AMS members US$31; Order code: MBDB

Codebreakers Arne Beurling and the Swedish Crypto Program during World War IIBengt Beckman2003; 259 pp.; hardcover; ISBN: 978-0-8218-2889-2; List US$43; AMS members US$34; Order code: SWCRY

Starting Our Careers A Collection of Essays and Advice on Professional Development from the Young Mathematicians’ NetworkCurtis D. Bennett, Bowling Green State University, OH, and Annalisa Crannell, Franklin & Marshall College, Lancaster, PA, Editors1999; 116 pp.; softcover; ISBN: 978-0-8218-1543-4; List US$26; AMS members US$21; Order code: SOC

The Millennium Prize Problems James Carlson, Clay Mathematics Institute, Cambridge, MA, Arthur Jaffe, Harvard University, Cambridge, MA, and Andrew Wiles, Institute for Advanced Study, Princeton, NJ, Editors

Given the interest generated by the Millennium Problems, this book should be in every mathematics library ... —MAA ReviewsThis text describes the seven mathematical problems that represent the most important and challenging issues for math-ematicians, and places these problems in a broader historical context. An essay on the history of prize problems in math-ematics gives this text broad appeal among those interested in mathematics. The Millennium Prize problems reflect the spon-soring Clay Mathematics Institute’s goal of furthering the beauty and power of mathematical thinking.A co-publication of the AMS and the Clay Mathematics Institute (Cambridge, MA).2006; 165 pp.; hardcover; ISBN: 978-0-8218-3679-8; List US$29; AMS members US$23; Order code: MPRIZE

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informative, accessible, and entertaining

Riot at the Calc Exam and Other Mathematically Bent Stories Colin Adams, Williams College, Williamstown, MA

This collection of humorous mathematics stories gives the reader a sense of what it would be like to participate in a math-ematical world that is far from dreary. Several of the ideas for the stories were derived from lunchtime discussions at the humorous and friendly mathematics department at Williams College. The stories resonate with both mathematicians and laypeople with an interest in mathematics.

2009; 271 pp.; softcover; ISBN: 978-0-8218-4817-3; List US$32; AMS members US$26; Order code: MBK/62

Five-Minute Mathematics Ehrhard Behrends, Freie Universität Berlin, Germany

Translated by David Kramer

This book, a breath of fresh air, makes mathematics a delight and fun for almost any reader. ... I highly recommend this book for any teacher looking for a way to get students interested in mathematics—again or for the first time.—Joyce Fischer, for NCTM’s “Mathematics Teacher”

2008; 380 pp.; softcover; ISBN: 978-0-8218-4348-2; List US$35; AMS members US$28; Order code: MBK/53

Art for a House of Mathematics Anna Campbell Bliss, Bliss Studio Publications, Salt Lake City, UT

Bliss has created an astonishingly beautiful work of art, which I’m sure will inspire students, artists and mathematicians that work in the “House” for a long time to come.

—Leonardo Reviews

A publication of Bliss Studio Publications. Distributed non-exclusively worldwide by the American Mathematical Society.2006; 53 pp.; softcover; ISBN: 978-0-9754915-1-5; List US$15; Order code: AHM

Mathematics under the Microscope Notes on Cognitive Aspects of Mathematical PracticeAlexandre V. Borovik, University of Manchester, United Kingdom

This entertaining book seeks to start a dialogue between math-ematicians and cognitive scientists, as it discusses the mystery of mathematical intuition from a working mathematician’s perspective. It demonstrates that the same patterns of thinking characterize the most elementary and the most cutting-edge mathematics. The book will inspire mathematicians as well as those who have thought little about mathematics since their school years.2010; approximately 331 pp.; hardcover; ISBN: 978-0-8218-4761-9; List US$59; AMS members US$47; Order code: MBK/71

appealing to a broad mathematical readership

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A Mathematician Looks at VotingDonald G. Saari

Mat

hem

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PhysicsPhilosophy

TRIANGLE

OF THOUGHTS

ALAIN CONNESANDRE LICHNEROWICZ

MARCEL PAUL SCHUTZENBERGER¨´

Change Is Possible Stories of Women and Minorities in MathematicsPatricia Clark Kenschaft, Montclair State University, Upper Montclair, NJ

Kenschaft reveals the passions that motivated past and present mathematicians and the obstacles they overcame to achieve their dreams. Through research and in-depth personal interviews, she has explored the sensitive issues of racism and sexism, rejoicing in positive changes and alerting us to issues that still need our attention.

—Claudia Zaslavsky, the author of “Africa Counts” and other books on equality issues in mathematics

education

2005; 212 pp.; softcover; ISBN: 978-0-8218-3748-1; List US$30; AMS members US$24; Order code: CHANGE

Bourbaki A Secret Society of MathematiciansMaurice Mashaal, Pour la Science, Paris, France

There are marvelous biographical essays; a fine account of the actual historical figure, Nicholas Bourbaki ... highly appealing stuff ... fantastic pictures ... It’s great fun.

—MAA Reviews

This book lifts the veil from a secret society in which spirited debate, good humor, and a unified purpose helped generate the most influential mathematical treatise of the 20th century. It chronicles how the Bourbaki group saw its mission grow into creation of a universal collection of mathematical tools, shaping thought on mathematics from 1950 to the 1970s. Remarkable photographs and rich anecdotes enliven the text.2006; 168 pp.; softcover; ISBN: 978-0-8218-3967-6; List US$29; AMS members US$23; Order code: BOURBAKI

Famous Puzzles of Great Mathematicians Miodrag S. Petkovic, University of Nis, Serbia

This is the only collection in English of puzzles and challenging elementary mathematical problems posed, discussed and solved by great mathematicians. The book is intended to amuse and entertain while bringing the reader closer to the distinguished mathematicians through their works and some compelling personal stories. The selected problems simply require pencil and paper and a healthy amount of persistence.2009; 325 pp.; softcover; ISBN: 978-0-8218-4814-2; List US$36; AMS members US$29; Order code: MBK/63

Chaotic Elections! A Mathematician Looks at Voting Donald G. Saari, University of California, Irvine, CA

Read it and read it soon so that you can expand your mathematical horizons, upgrade your civic awareness, and sparkle at social events.

—MAA Online2001; 159 pp.; softcover; ISBN: 978-0-8218-2847-2; List US$25; AMS members US$20; Order code: ELECT

Triangle of Thoughts Alain Connes, André Lichnerowicz, and Marcel Paul Schützenberger

Our view of the world today is fundamentally influenced by twentieth century results in physics and mathematics. Here, three members of the French Academy of Sciences: Alain Connes, André Lichnerowicz, and Marcel Paul Schützenberger, discuss the relations among mathematics, physics and philos-ophy, and other sciences. The conversations are sprinkled with stories and quotes from outstanding scientists, which enliven the discourse. The book will make you think again about things that you once thought were quite familiar.2001; 179 pp.; hardcover; ISBN: 978-0-8218-2614-0; List US$34; AMS members US$27; Order code: TOT

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On Being a Department Head, a Personal View John B. Conway, University of Tennessee, Knoxville, TN

Provokes the reader to think through some of the difficult issues … There are few books that deal so directly with running a University department and therefore this book should be read by

anyone with an interest in that endeavour. Its easy style and treatment of universal management issues make it worthy of a wider audience.

—The Mathematical Gazette1997; 107 pp.; softcover; ISBN: 978-0-8218-0615-9; List US$27; AMS members US$22; Order code: AHEAD

The Coxeter Legacy Reflections and ProjectionsChandler Davis and Erich W. Ellers, University of Toronto, ON, Canada, EditorsA co-publication of the AMS and The Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).2006; 320 pp.; hardcover; ISBN: 978-0-8218-3722-1; List US$69; AMS members US$55; Order code: COXETER

Solutions Manual for Techniques of Problem Solving Luis Fernández and Haedeh Gooransarab, Washington University, St. Louis, MO1997; 188 pp.; softcover; ISBN: 978-0-8218-0628-9; List US$15; AMS members US$12; Order code: SMTPS

Mathematical Impressions Anatoliı T. Fomenko, Moscow State University, Russia

Presentations are perfect … highly recommended as visualization of mathematics, as a presentation of mathematics through artwork combined with emotional, historical or mythical aspects.

—Zentralblatt MATH1991; 184 pp.; hardcover; ISBN: 978-0-8218-0162-8; List US$22; AMS members US$18; Order code: MATIMP

More Math into LATEX 4th EditionGeorge Grätzer, University of Manitoba, CanadaPublished by Springer Verlag. Distributed by the American Mathematical Society.2007; 650 pp.; softcover; ISBN: 978-0-387-32289-6; List US$50; AMS members US$40; Order code: MMLTEX

Learning LaTeX David F. Griffiths, University of Dundee, Scotland, and Desmond J. Higham, University of Strathclyde, Glasgow, ScotlandPublished by the Society for Industrial and Applied Mathematics. Distributed non-exclusively worldwide by the American Mathematical Society.1997; 84 pp.; softcover; ISBN: 978-0-89871-383-1; List US$26; Individual member US$18; Order code: LLTEX

I Have a Photographic Memory Paul R. Halmos, Santa Clara University, CA1987; 326 pp.; softcover; ISBN: 978-0-8218-1939-5; List US$45; AMS members US$36; Order code: PHOMEM.S

Making Mathematics Come to Life A Guide for Teachers and StudentsO. A. Ivanov, St. Petersburg State University, Russia

This collection of elementary prob-lems and theoretical material is designed to inspire students who want to learn more mathematics beyond a traditional high school curriculum, as well as teachers seeking a bridge between school mathematics and higher math-ematics. The book resembles a good lecture course that leaves students with more than the standard lecture material. The reader will be able to solve most of the more than 300 problems.2009; approximately 334 pp.; hardcover; ISBN: 978-0-8218-4808-1; List US$69; AMS members US$55; Order code: MBK/61

Arithmetic for Teachers With Applications and Topics from GeometryGary R. Jensen, Washington University, St. Louis, MO

Excellent teaching of mathematics at the elementary school level requires that the teacher be an expert in school mathematics. This textbook for prospective teachers presents topics from the K–6 mathematics curriculum, but at a greater depth than is usually found in the classroom. The added knowledge that comes from this approach gives the teacher essential insight into how the topics interrelate and where difficulties might lie. 2003; 383 pp.; hardcover; ISBN: 978-0-8218-3418-3; List US$62; AMS members US$50; Order code: FOA

Guide to LATEX: Fourth Edition Helmut Kopka and Patrick W. Daly, Max Planck Institut für Aeronomie, Katlenburg-Lindau, GermanyPublished by Addison-Wesley. Distributed non-exclusively worldwide by the American Mathematical Society.2004; 597 pp.; softcover; ISBN: 978-0-321-17385-0; List US$49.99; Individual member US$45; Order code: GLTEX

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A Mathematician’s Survival Guide Graduate School and Early Career DevelopmentSteven G. Krantz, Washington University, St. Louis, MO

Very valuable for the prospective student … definitely recommend to every mathematics department to

keep a copy of this book for their undergraduate and graduate students.

—MAA Online2003; 222 pp.; softcover; ISBN: 978-0-8218-3455-8; List US$29; AMS members US$23; Order code: GSCM

The Survival of a Mathematician From Tenure-Track to EmeritusSteven G. Krantz, Washington University, St. Louis, MO

[Krantz] provides very useful advice for research mathematicians. It is clear from this book and his others that Krantz loves

his profession. ... In short, this would be a perfect graduation gift for a new Ph.D. mathematician, especially if bundled with How to Teach Mathematics.

—MAA Reviews2009; 310 pp.; softcover; ISBN: 978-0-8218-4629-2; List US$39; AMS members US$31; Order code: MBK/60

How to Teach Mathematics, Second Edition

Steven G. Krantz, Washington University, St. Louis, MO

This book is a must read for instructors preparing their courses for next semester.

—MAA Online

This expanded edition of the original bestseller, How to Teach Mathematics, offers hands-on guidance for teaching mathe-matics in the modern classroom setting. Twelve appendices have been added that are written by experts who have a wide range of opinions and viewpoints on the major teaching issues.1999; 307 pp.; softcover; ISBN: 978-0-8218-1398-0; List US$27; AMS members US$22; Order code: HTM/2

Mathematical Publishing A GuidebookSteven G. Krantz, Washington University, St. Louis, MO

Every mathematician is involved in publishing. Throughout our careers, we are expected to publish our work: in journals, confer-ence proceedings and books. Later, we may be called to serve as an editor for a journal or book series. However, our training is for doing the mathematics, not publishing it. Here, finally, is a guidebook to the publishing of mathematics. It describes both the general setting of mathematical publishing and the specifics of all the various publishing situations a mathematician may encounter.

2005; 297 pp.; softcover; ISBN: 978-0-8218-3699-6; List US$30; AMS members US$24; Order code: MATPUB

A Primer of Mathematical Writing Steven G. Krantz, Washington University, St. Louis, MO

Krantz’s book is lively, entertaining and provides many amusing anecdotes … [an] excellent and worthy candidate for a statistician’s library … more useful on your personal bookshelf than

in a shared library, so it can be consulted regularly.—Australian and New Zealand Journal of Statistics

1997; 223 pp.; softcover; ISBN: 978-0-8218-0635-7; List US$22; AMS members US$18; Order code: PMW

Techniques of Problem Solving Steven G. Krantz, Washington University, St. Louis, MO

Krantz has collected a thoroughly engaging arsenal of problems and problem-solving techniques. Most scientists will want to have a copy for personal reference and for the mental

stimulation that it provides.—Choice Reviews

[T]his superb book connects the worlds of great mathe-matical problems with effective classroom instruction.

—The Mathematics Teacher1997; 465 pp.; softcover; ISBN: 978-0-8218-0619-7; List US$38; AMS members US$30; Order code: TPS

A Mathematician’s Survival Guide

Graduate Schooland Early Career

Development

Steven G. Krantz

Techniques ofProblem Solving

Steven G. Krantz

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European Congress of Mathematics Stockholm, June 27 – July 2, 2004Ari Laptev, Royal Institute of Technology, Stockholm, Sweden, EditorA publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.2005; 900 pp.; hardcover; ISBN: 978-3-03719-009-8; List US$138; AMS members US$110; Order code: EMSEMC/2004

John von Neumann The Scientific Genius Who Pioneered the Modern Computer, Game Theory, Nuclear Deterrence, and Much MoreNorman Macrae

The resulting book is a highly entertaining account that is difficult to put down.

—Journal of Mathematical Psychology

The book makes for utterly captivating reading...—Daniel J. Kevles, California Institute of Technology

1992; 406 pp.; softcover; ISBN: 978-0-8218-2676-8; List US$32; AMS members US$26; Order code: JVNM.S

The LATEX Companion, Second Edition Tools and Techniques for Computer TypesettingFrank Mittelbach, University of Mainz, Germany, Michel Goossens, European Organization for Nuclear Research, CERN, Genève, Switzerland, Johannes Braams, Royal KPN N V, The Hague, Netherlands, David Carlisle, NAG, Ltd., Oxford, England, and Chris Rowley, Open University, Milton Keynes, EnglandPublished by Addison-Wesley. Distributed non-exclusively worldwide by the American Mathematical Society.2004; 1087 pp.; softcover; ISBN: 978-0-201-36299-2; List US$65; AMS members US$59; Order code: LATEXC

The Fermat Diary C. J. Mozzochi, Princeton, NJ

Mozzochi provides us with a great deal of valuable primary data. The photographs, in particular, will be of great value to future historians.

—American Scientist2000; 196 pp.; hardcover; ISBN: 978-0-8218-2670-6; List US$32; AMS members US$26; Order code: FERMATD

How to Write Mathematics N. E. Steenrod, P. R. Halmos, M. M. Schiffer, and J. A. Dieudonné

This classic guide contains four essays on writing mathematical books and papers at the research level and at the level of graduate texts. The authors are all well known for their writing skills, as well as their mathematical accomplishments. 1973; 64 pp.; softcover; ISBN: 978-0-8218-0055-3; List US$20; AMS members US$16; Order code: HWM

Structure and Randomness pages from year one of a mathematical blogTerence Tao, University of California, Los Angeles, CA

In [Tao’s book] we have a fascinating glimpse into the mind of one of the best mathematicians working today.

—American Scientist

This collection of articles from Tao’s research blog captures the insight, the inquisitiveness and even the playfulness of a great mathematician at the height of his influence. His contributions in diverse areas of mathematics allow him to establish connections between seemingly disparate subjects. An informal approach to the writing focuses on general ideas rather than detailed techniques.2008; 298 pp.; softcover; ISBN: 978-0-8218-4695-7; List US$35; AMS members US$28; Order code: MBK/59

Poincaré’s Legacies, Part I pages from year two of a mathematical blogTerence Tao, University of California, Los Angeles, CA

This first part of the second-year posts on Terence Tao’s research blog focuses on ergodic theory, combinatorics and number theory. Recurrence theorems about dynamical systems are used to prove some deep theorems in combinatorics and other areas of mathematics. The posts are self-contained and accessible, and feedback from blog readers has been incorporated into the material.2009; 293 pp.; softcover; ISBN: 978-0-8218-4883-8; List US$39; AMS members US$31; Order code: MBK/66

Poincaré’s Legacies, Part II pages from year two of a mathematical blogTerence Tao, University of California, Los Angeles, CA

This second part of the second-year posts on Terence Tao’s research blog focuses on geometry, topology and partial differ-ential equations. It features lecture notes from Tao’s course on the Poincaré conjecture and its recent spectacular solution by Perelman. The posts are self-contained and accessible, and feed-back from blog readers has been incorporated into the material.2009; 292 pp.; softcover; ISBN: 978-0-8218-4885-2; List US$39; AMS members US$31; Order code: MBK/67

AMERICAN MATHEMATICAL SOCIETY

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The Scientific Genius Who Pioneered the Modern Computer, Game Theory, Nuclear Deterrence, and Much More

NORMAN MACRAE

John von Neumann

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Euler Through Time A New Look at Old ThemesV. S. Varadarajan, University of California, Los Angeles, CA

This book has been written with the greatest insight, expertise, experience, and passion on the part of the author’s, and it should be seen as what it really is: a cultural jewel in the mathematical literature as a whole!

—Zentralblatt MATH2006; 302 pp.; hardcover; ISBN: 978-0-8218-3580-7; List US$59; AMS members US$47; Order code: EULER

Roots to Research A Vertical Development of Mathematical ProblemsJudith D. Sally, Northwestern University, Evanston, IL, and Paul J. Sally, Jr., University of Chicago, IL

The authors have done a remarkable job of giving a seamless presentation of material at very different levels of difficulty. Teachers and students will appreciate this book both for the information it contains and as a model of expository writing.

—Mathematical Reviews

This book traces the full range of mathematics needed to under-stand the emergence of five mathematical problems whose origins lie in the elementary school curriculum. Readers can return to the most advanced aspects of the problems as they gain mathematical experience. The progression from elementary to advanced math-ematics gives this book broad appeal to students and teachers.2007; 338 pp.; hardcover; ISBN: 978-0-8218-4403-8; List US$49; AMS members US$39; Order code: MBK/48

Geometry and TopologyThe Knot Book An Elementary Introduction to the Mathematical Theory of KnotsColin C. Adams, Williams College, Williamstown, MAFrom reviews of the first edition:

Amazingly understandable … After reading it twice, I still pick it up and scan it … this

book belongs in every mathematical library.—Charles Ashbacher, Book Reviews Editor, Journal of

Recreational Mathematics

Knots are familiar objects. We use them to moor our boats, to wrap our packages, to tie our shoes. Yet the mathematical theory of knots quickly leads to deep results in topology and geometry. The Knot Book is an introduction to this rich theory, starting from our familiar understanding of knots and a bit of college algebra and finishing with exciting topics of current research.The Knot Book is also about the excitement of doing mathematics. Colin Adams engages the reader with fascinating examples, superb figures, and thought-provoking ideas. He also presents the remarkable applications of knot theory to modern chemistry, biology, and physics.

2004; 307 pp.; softcover; ISBN: 978-0-8218-3678-1; List US$30; AMS members US$24; Order code: KNOT

Computational Topology An IntroductionHerbert Edelsbrunner, Duke University, Durham, NC, and Geomagic, Research Triangle Park, NC, and John L. Harer, Duke University, Durham, NC

This text offers a combination of topics in geometry, topology and algorithms, in a manner showing how the fields benefit from one another. It develops all the background of both the mathematical and algorithmic aspects of computational topology from first principles. It builds intuition by relating the material to situations in different walks of life.2010; 241 pp.; hardcover; ISBN: 978-0-8218-4925-5; List US$59; AMS members US$47; Order code: MBK/69

Poncelet’s Theorem Leopold Flatto

Physically, the book is compact and beautifully produced, and its 235 pages and 15 chapters reveal its enormous mathematical scope. In fact, it may be said that Leopold Flatto has created a mathematical gem...

—MAA Reviews

This book is devoted to proofs of Poncelet’s theorem using elliptic functions and dynamical systems. The author uses a lucid, careful style to uncover a hidden thread tying Poncelet’s theorem to billiards in an ellipse and parallel queues. The book takes a modern approach, with material not previously available in book form.2009; 240 pp.; hardcover; ISBN: 978-0-8218-4375-8; List US$49; AMS members US$39; Order code: MBK/56

Lessons in Geometry I. Plane GeometryJacques Hadamard

This internationally renowned geometry text goes well beyond the basics of plane Euclidean geometry, in a way that is both pleasingly classic and surprisingly modern. This book established the tradi-tion of teaching geometry throughout the world. Much of its value lies in more than 450 problems, whose solutions open worlds to the engaged reader.2008; 330 pp.; hardcover; ISBN: 978-0-8218-4367-3; List US$59; AMS members US$47; Order code: MBK/57

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Hadamard’s Plane Geometry A Reader’s CompanionMark Saul, Education Development Center, Newton, MA

This volume offers solutions to the problems in the first part of Jacques Hadamard’s massive two-volume work Lessons in Geometry, focusing on plane geometry. The solutions strive to connect the general methods given in the text with intuitions that are natural to the subject. High school teachers and gifted high school students are among the book’s targeted readers, as the text requires only an ability to follow an argument in elementary geometry.A co-publication of the AMS and Education Development Center.2010; approximately 351 pp.; hardcover; ISBN: 978-0-8218-4368-0; List US$59; AMS members US$47; Order code: MBK/70

The Wild World of 4-Manifolds Alexandru Scorpan, University of Florida, Gainesville, FL

The book gives an excellent overview of 4-manifolds, with many figures and historical notes. Graduate students, nonexperts, and experts alike will enjoy browsing through it.

—Robion C. Kirby, University of California, Berkeley

This book offers a panorama of the topology of simply-connected smooth manifolds of dimension four.The structure of the book is modular, organized into a main track of about two hundred pages, augmented by extensive notes at the end of each chapter, where many extra details, proofs and developments are presented. The text is peppered with over 250 illustrations and has an extensive index.2005; 609 pp.; hardcover; ISBN: 978-0-8218-3749-8; List US$72; AMS members US$58; Order code: FOURMAN

Elementary Topology Problem TextbookO. Ya. Viro, Stony Brook University, NY, O. A. Ivanov, Steklov Institute of Mathematics, St. Petersburg, Russia, N. Yu. Netsvetaev, St. Petersburg State University, Russia, and V. M. Kharlamov, University Louis Pasteur, Strasbourg Cedex, France

With its selection of topics and its interesting, unique format, this book could be very useful as a graduate text for a first course in topology.

—Mathematical Reviews

This text contains a detailed introduction to general topology and an introduction to algebraic topology via its most classical and elementary segment. Proofs of theorems are separated from their formulations and are gathered at the end of each chapter, making this book appear like a problem book and also giving it appeal to the expert as a handbook. The book includes about 1,000 exercises.2008; 400 pp.; hardcover; ISBN: 978-0-8218-4506-6; List US$59; AMS members US$47; Order code: MBK/54

Mathematical PhysicsQuantum Fields and Strings: A Course for Mathematicians Pierre Deligne, Institute for Advanced Study, Princeton, NJ, Pavel Etingof, Massachusetts Institute of Technology, Cambridge, MA, Daniel S. Freed, University of Texas, Austin, TX, Lisa C. Jeffrey, University of Toronto, ON, Canada, David Kazhdan, Harvard University, Cambridge, MA, John W. Morgan, Columbia

University, New York, NY, David R. Morrison, Duke University, Durham, NC, and Edward Witten, Institute for Advanced Study, Princeton, NJ, Editors

An immense amount of valuable material on recent developments. The development of classical supersymmetry by Deligne and collaborators is careful and systematic … masterful treatment …the book is a magnificent achievement.

—SIAM Review

To order individual parts/volumes or the complete set, please specify the relevant order code.Volume 1: 1999; 723 pp.; softcover; ISBN: 978-0-8218-2012-4; List US$32; AMS members US$26; Order code: QFT/1.S; Volume 2: 1999; 777 pp.; softcover; ISBN: 978-0-8218-2013-1; List US$32; AMS members US$26; Order code: QFT/2.S; Set: 1999; 1501 pp.; softcover; ISBN: 978-0-8218-2014-8; List US$58; AMS members US$46; Order code: QFT/1/2.S

Highlights of Mathematical Physics A. Fokas, Cambridge University, UK, and J. Halliwell, T. Kibble, and B. Zegarlinski, Imperial College, London, UK, Editors2002; 271 pp.; hardcover; ISBN: 978-0-8218-3223-3; List US$54; AMS members US$43; Order code: HMP

Five Lectures on Supersymmetry Daniel S. Freed, University of Texas, Austin, TX

The exposition is clear, concise, and direct, and the topics are very well chosen. A brief list of references for each lecture is also included.

—Mathematical Reviews1999; 119 pp.; softcover; ISBN: 978-0-8218-

1953-1; List US$26; AMS members US$21; Order code: FLS

AMERICAN MATHEMATICAL SOCIETY

THE WILDWORLD OF

4–MANIFOLDSALEXANDRU SCORPAN

Quantum Fieldsand Strings: A Course

for Mathematicians

Pierre DelignePavel Etingof

Daniel S. FreedLisa C. Jeffrey

American Mathematical SocietyInstitute for Advanced Study

David KazhdanJohn W. MorganDavid R. MorrisonEdward Witten

Editors

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Number TheoryThose Fascinating Numbers Jean-Marie De Koninck, Université Laval, Quebec, QC, CanadaTranslated by Jean-Marie De KoninckThis book provides a listing of positive integers along with their most remarkable properties, serving as a vehicle to explore elemen-tary and advanced topics in classical number theory. Each of the open problems included in the book represents an enigma that will stimulate the reader’s curiosity. The book offers a variety of features, including short proofs of key results and various algorithms.2009; 426 pp.; softcover; ISBN: 978-0-8218-4807-4; List US$49; AMS members US$39; Order code: MBK/64

1001 Problems in Classical Number Theory Jean-Marie De Koninck, Université Laval, Quebec, QC, Canada, and Armel Mercier, Université du Québec à Chicoutimi, QC, CanadaThis translation of a French text offers an incomparable collec-tion of problems in number theory, with appeal to everyone from the novice to the experienced mathematician. The problems are presented in a way that compels the reader to attack the next one eagerly. The problems reinforce a passion for both the beauty and lingering mystery of number theory.2007; 336 pp.; hardcover; ISBN: 978-0-8218-4224-9; List US$49; AMS members US$39; Order code: PINT

The Number π Pierre Eymard and Jean-Pierre Lafon

A marvelous, rich book, suitable for a large (mathematically trained) audience ... —MAA Online

This is a clever, beautiful book. The authors trace the thread of π through the long history of math-ematics. In so doing, they touch

upon many major subjects in mathematics: geometry (of course), number theory, Galois theory, probability, transcendental numbers, analysis, and, as their crown jewel, the theory of elliptic functions, which connects many of the other subjects.2004; 322 pp.; softcover; ISBN: 978-0-8218-3246-2; List US$38; AMS members US$30; Order code: TNP

In Search of the Riemann Zeros Strings, Fractal Membranes and Noncommutative SpacetimesMichel L. Lapidus, University of California, Riverside, CA

The author and the AMS have done an excellent job in the production of the book. ... Overall, this is a very interesting and very unconventional book.

—Mathematicial Reviews

Building on prior work on the theory of fractals, string theory and noncommutative geometry, this book offers a new approach to understanding and possibly solving the Riemann Hypothesis, the most multifaceted open problem in mathematics. The book’s diverse approach to the subject appeals to both rigor and intu-ition. A large amount of background material makes this complex subject accessible to non-experts.2008; 558 pp.; hardcover; ISBN: 978-0-8218-4222-5; List US$79; AMS members US$63; Order code: MBK/51

Not Always Buried Deep A Second Course in Elementary Number TheoryPaul Pollack, University of Illinois, Urbana-Champaign, IL

This text for a second course on elementary number theory high-lights the many important results that can be achieved through elementary methods. Central topics

include Dirichlet’s theorem on primes in prescribed arithmetic progressions, the Brun sieve, and the Erdös-Selberg proof of the prime number theorem. The book is structured so that readers can pick up basic tools quickly and begin solving interesting problems.2009; 303 pp.; hardcover; ISBN: 978-0-8218-4880-7; List US$62; AMS members US$50; Order code: MBK/68

Probability

Introduction to Probability Second Revised EditionCharles M. Grinstead, Swarthmore College, PA, and J. Laurie Snell, Dartmouth College, Hanover, NH

The book is a beautiful introduction to probability theory at the beginning level. The book contains a lot of examples and an easy

development of theory without any sacrifice of rigor, keeping the abstraction to a minimal level. It is indeed a valuable addition to the study of probability theory.

—Zentralblatt MATH

This text is designed for an introductory probability course at the university level for sophomores, juniors, and seniors in math-ematics, physical and social sciences, engineering, and computer science. It presents a thorough treatment of ideas and techniques necessary for a firm understanding of the subject.1997; 510 pp.; hardcover; ISBN: 978-0-8218-0749-1; List US$57; AMS members US$46; Order code: IPROB

Introduction to

PROBABILITY

American Mathematical Society

Charles M. GrinsteadJ. Laurie Snell

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Markov Chains and Mixing Times David A. Levin, University of Oregon, Eugene, OR, Yuval Peres, Microsoft Research, Redmond, WA, and University of California, Berkeley, CA, and Elizabeth L. Wilmer, Oberlin College, OH

Markov Chains and Mixing Times is a magical book, managing to be both friendly and deep. It gently introduces probabilistic techniques so that an outsider can follow. It is certainly THE book that I will use to teach from. I recommend it to all comers, an amazing achievement.

—Persi Diaconis, Mary V. Sunseri Professor of Statistics and Mathematics, Stanford University

2009; 371 pp.; hardcover; ISBN: 978-0-8218-4739-8; List US$65; AMS members US$52; Order code: MBK/58

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1001 Problems in Classical Number Theory . . . . . . . . . 13

AAdams, Colin . . . 6, 11

Aigner, Martin . . . . . 5

Applied Linear Algebra . . . . . . . . . 3

Approximately Calculus . . . . . . . . 4

Arithmetic for Teachers . . . . . . . . . 8

Arnold, V.. . . . . . . . . 5

Art for a House of Mathematics . . . . . 6

Atiyah, M. . . . . . . . . 5

BBatterson, Steve . . . . 5

Beckman, Bengt . . . . 5

Behrends, Ehrhard . . 6

Bennett, Curtis D. . . 5

Bliss, Anna Campbell 6

Borovik, Alexandre V. . . . . . 6

Bourbaki . . . . . . . . . . 7

Braams, Johannes . . 10

CCarlisle, David . . . . 10

Carlson, James . . . . . 5

Change Is Possible . . . 7

Chaotic Elections! A Mathematician Looks at Voting . . . . . . . . 7

Codebreakers . . . . . . . 5

Complex Function Theory . . . . . . . . . . 4

Computational Topology . . . . . . . . 11

Connes, Alain . . . . . . 7

Conway, John B. . . . 8

The Coxeter Legacy . . 8

Crannell, Annalisa . . . 5

DDaly, Patrick W. . . . . 8

Davis, Chandler . . . . 8

De Koninck, Jean-Marie . . . . . . . . . 13

Deligne, Pierre . . . . 12

Diestel, Joe . . . . . . . . 3

Dieudonné, J. A. . . 10

Discrete Mathematics . 5

Dynamics on the Riemann Sphere . . . 4

EEdelsbrunner,

Herbert . . . . . . . . 11

Elementary Topology 12

Ellers, Erich W. . . . . . 8

Essays on the Complexity of Continuous Problems . . . . . . . . 4

Etingof, Pavel . . . . . 12

Euler Through Time 11

European Congress of Mathematics . . . 10

Eymard, Pierre . . . . 13

FFamous Puzzles

of Great Mathematicians . . . 7

The Fermat Diary . . 10

Fernandez, Luis . . . . 8

Five Lectures on Supersymmetry . . . 12

Five-Minute Mathematics . . . . . 6

Flatto, Leopold . . . . 11

Fokas, A. . . . . . . . . 12

Fomenko, Anatoliı T. 8

Fourie, Jan H. . . . . . 3

Freed, Daniel S. . . . 12

Fundamentals of the Theory of Operator Algebras. Volume III . . . . . . . 3

Fundamentals of the Theory of Operator Algebras. Volume IV . . . . . . . 3

GGillman, Rick . . . . . . 4

Gooransarab, Haedeh N. . . . . . . 8

Goossens, Michel . . 10

Grätzer, George . . . . 8

Griffiths, David F. . . . 8

Grinstead, Charles M. . . . . . 13

Grothendieck-Serre Correspondence . . . 5

Guide to LATEX: Fourth Edition . . . . 8

HHadamard’s Plane

Geometry . . . . . . . 12

Hadamard, Jacques . 11

Halliwell, J. . . . . . . 12

Halmos, Paul R. 8, 10

Harer, John L. . . . . 11

Higham, Desmond J. 8

Highlights of Mathematical Physics . . . . . . . . . 12

Hjorth, Poul . . . . . . . 4

Housman, David . . . 4

How to Teach Mathematics, Second Edition . . . . 9

How to Write Mathematics . . . . 10

II Have a Photographic

Memory . . . . . . . . . 8

In Search of the Riemann Zeros. . . 13

Introduction to Probability . . . . . . 13

Invariant Measures . . 4

Ivanov, O. A. . . . 8, 12

JJaffe, Arthur . . . . . . . 5

Jeffrey, Lisa C. . . . . 12

Jensen, Gary R. . . . . 8

John von Neumann . 10

KKadison, Richard V. . 3

Kazhdan, David . . . 12

Kenschaft, Patricia Clark . . . . . . . . . . . 7

Kharlamov, V. M. . . 12

Kibble, T. . . . . . . . . 12

The Knot Book . . . . . 11

Kopka, Helmut . . . . . 8

Krantz, Steven G. . 8, 9

LLafon, Jean-Pierre . . 13

Lapidus, Michel L. . 13

Laptev, Ari . . . . . . . 10

The LATEX Companion, Second Edition . . . 10

Lax, P. . . . . . . . . . . . 5

Learning LaTeX . . . . 8

Lessons in Geometry . 11

Levin, David A. . . . 14

Lichnerowicz, André . 7

MMacrae, Norman. . . 10

Making Mathematics Come to Life . . . . . 8

Markov Chains and Mixing Times . . . . 14

Mashaal, Maurice . . . 7

Mathematical Impressions . . . . . . . 8

Mathematical Publishing . . . . . . . 9

A Mathematician’s Survival Guide . . . 9

Mathematics under the Microscope . . . . . . . 6

Mathematics: Frontiers and Perspectives . . . 5

Mazur, B. . . . . . . . . . 5

Mercier, Armel . . . . 13

The Metric Theory of Tensor Products . . . 3

The Millennium Prize Problems . . . . . . . . 5

Mittelbach, Frank . . 10

Models of Conflict and Cooperation . . 4

More Math into LATEX . . . . . . . . . . 8

Morgan, Frank . . . . . 3

Morgan, John W. . . 12

Morrison, David R. 12

Mozzochi, C. J. . . . 10

NNetsvetaev, N. Yu. . 12

Not Always Buried Deep . . . . . . . . . . 13

Novak, Erich . . . . . . 4

The Number π . . . . 13

OOn Being a

Department Head, a Personal View . . . 8

PPeres, Yuval . . . . . . 14

Petersen, Carsten Lunde . . . . . . . . . . 4

Petkovic, Miodrag S. . 7

Poincaré’s Legacies, Part I . . . . . . . . . 10

Poincaré’s Legacies, Part II . . . . . . . . 10

Pollack, Paul . . . . . . 13

Poncelet’s Theorem . . 11

A Primer of Mathematical Writing . . . . . . . . . 9

QQuantum Fields and

Strings: A Course for Mathematicians . . 12

RReal Analysis and

Applications . . . . . . 3

Real Analysis . . . . . . 3

Ringrose, John R. . . . 3

Riot at the Calc Exam and Other Mathematically Bent Stories . . . . . . . . . . 6

Roots to Research . . . 11

Rowley, Chris . . . . . 10

SSaari, Donald G. . . . . 7

Sadun, Lorenzo . . . . 3

Sally, Judith D. . . . . 11

Sally, Paul J., Jr. . 4, 11

Sarason, Donald . . . . 4

Saul, Mark . . . . . . . 12

Schiffer, M. M. . . . . 10

Schützenberger, Marcel Paul . . . . . . 7

Scorpan, Alexandru . 12

Shahriari, Shahriar. . . 4

Sloan, Ian H. . . . . . . 4

Snell, J. Laurie . . . . 13

Solutions Manual for Techniques of Problem Solving . . . . . . . . . . 8

Starting Our Careers 5

Steenrod, N. E. . . . 10

Stephen Smale: The Mathematician Who Broke the Dimension Barrier . . . . . . . . . 5

Structure and Randomness . . . . . 10

The Survival of a Mathematician . . . 9

Swart, Johan . . . . . . . 3

TTao, Terence . . . . . . 10

Techniques of Problem Solving . . . 9

Those Fascinating Numbers . . . . . . . 13

Tools of the Trade . . . . 4

Traub, Joseph F. . . . . 4

Triangle of Thoughts . 7

VVaradarajan, V. S. . . 11

Viro, O. Ya. . . . . . . 12

von Neumann, John . 4

WThe Wild World of

4-Manifolds . . . . . 12

Wiles, Andrew . . . . . 5

Wilmer, Elizabeth L. 14

Witten, Edward . . . 12

Woz niakowski, Henryk . . . . . . . . . 4

ZZegarlinski, B. . . . . 12

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