€¦ · abcd springer.com yellow sale 2007 includes the birkhäuser green sale participating...

ABCD springer.com

Yellow Sale 2007Includes the Birkhäuser Green Sale Participating bookstores listed inside.

Big Savings on 250 excellent titles spanning the spectrum of Mathematics!

Sale prices valid only in the Americas and expire December 31, 2007.

ABCD233 Spring Street New York, NY 10013

M1329Z

Yellow Sale 2007Big Savings on 250 excellent titles spanning the spectrum of Mathematics!ContentSAlgebra .............................................................2

Analysis.............................................................4

Applications .....................................................9

Computational Science & engineering ........11

Dynamical Systems & Differential equations ...13

Geometry & topology ...................................15

Mathematical Biology ...................................19

Mathematics, General ...................................19

number theory & Combinatorics .................23

Probability theory .........................................25

Quantatative Finance ....................................27

Birkhäuser GReen SALe .................................29

Index ...............................................................34

see contentsON BACK

Participating bookstores listed inside. Prices valid only in the Americas and expire December 31, 2007.

Yellow Sale 2007Bookstore List Yellow Sale 2007

Participating BookstoresPlease visit your participating bookstore to examine the selection in Springer’s 2007 Yellow Sale.

The stores appearing within the shaded boxes or in boldface only are most likely to have a complete selection.

Stocks are limited and the dates during which stores are offering sale prices may vary.

Please remember that the sale ends December 31, 2007.

Offer good only in the Americas.

ALABAMA

AuburnAuburn University Bookstore1360 Haley Center334-844-1365www.aubookstore.com

ARIZonA

tucsonU of A BookstoreUniversity of Arizona1209 East University Avenue520-621-2814genbooks@email.arizona.eduwww.uofabookstores.com

CALIFoRnIA

BerkeleyCal Student StoreUniversity of CaliforniaBancroft at [email protected]

DavisUC Davis BookstoreUniversity of California DavisOne Shields Avenue530-752-2944 http://bookstore.ucdavis.edu [email protected]

IrvineUC Irvine Bookstore210-B Student [email protected]

Los AngelesUniversity BookstoreUniversity of Southern California 840 West Childs Way213-740-0066www.uscbookstore.com

San FranciscoStacey’s Bookstore 581 Market Street415-421-4687http://www.staceys.com

Santa BarbaraUCSB BookstoreUniversity Center805-893-3955generalbooks@bookstore.ucsb.eduwww.bookstore.ucsb.edu

StanfordStanford Bookstore519 Lasuen Mall 800-533-2670650-329-1217Stanford@bkstr.comwww.stanfordbookstore.com

SunnyvaleDigital Guru Bookshops546-3 Lawrence Expressway408-720-6150www.digitalguru.com

CoLoRADo

BoulderColorado Bookstore 1111 Broadway303-442-5051

CU BookstoreUniversity of Colorado303-492-6411http://cubooks.colorado.edu/

DenverAuraria Campus Bookstore900 Auraria ParkwayAt the Tivoli Student Union303-556-4286www.aurariabooks.com

DIStRICt oF CoLUMBIA

WashingtonReiter’s Scientific & Professi-onal Bookstore2021 K Street [email protected]

FLoRIDA

Coral GablesUniversity of Miami Book-storeUniversity of MiamiWhitten University Center305-284-4101

GainesvilleUniversity of Florida Book-storeBuilding 886 – Museum [email protected]

tallahasseeFlorida State Univ. BookstoreFlorida State UniversityParking Garage, Main Level850-644-2072

GeoRGIA

AthensU. of Georgia Bookstore 100 Baxter Street 706-542-3171

ILLInoIS

ChampaignIllini Union Bookstore809 South Wright [email protected]/

InDIAnA

notre DameThe Hammes Notre Dame Bookstore Notre Dame UniversityBookstore Building574-631-6316

West LafayetteFollett’s Purdue-West Bookstore 1400 West State Street765-743-9642

IoWA

Iowa CityIowa Book & Supply8 South [email protected]

MASSACHUSettS

CambridgeQuantum Books 4 Cambridge [email protected]

MICHIGAn

Ann ArborUlrich’s Bookstore549 East University [email protected]

37

1

Yellow Sale 2007 Bookstore List

MINNESOTA

MinneapolisUniversity of Minnesota BookstoreCoffman Memorial Union300 Washington Avenue, South [email protected]

MISSOURI

St. LouisWashington University Bookstore1 Brookings [email protected]@bkstr.com

NEW JERSEY

New BrunswickRutgers BookstoreRutgers UniversityOne Penn Plaza – Ferren Mall732-246-8448

NEW MEXICO

AlbuquerqueUNM BookstoreCentral & [email protected]://bookstore.unm.edu/

NEW YORK

Buffalo University BookstoreSUNY at Buffalo-North Campus200 Lee Entrance716-645-3131

NORTH CAROLINA

DurhamGothic Bookshop Duke University919-684-3986gothic@informer.duke.eduwww.gothicbookshop.duke.edu

OHIO

CincinnatiUniversity of Cincinnati Bookstore Tangenan University Center2766 UC Main Street513-556-1700

OREGON

PortlandPowell’s Technical Books 33 NW Park [email protected]

PENNSYLVANIA

PittsburghThe Book CenterUniversity of Pittsburgh4000 Fifth [email protected]://www.pitt.edu/~bookctr/

West ChesterChester County Books975 Paoli PikeWest Goshen [email protected]/

RHODE ISLAND

ProvidenceBrown University Bookstore244 Thayer Street800-695-2050http://bookstore.brown.edu/

TEXAS

ArlingtonUTA BookstoreU. of Texas at Arlington400 South Pecan Street817-272-2785

AustinFollett Intellectual Property24th Street and Guadalupe Street512-478-0007

WacoBaylor University Bookstore1201 South 5th Street254-710-2161

UTAH

LoganUtah State Univ. BookstoreUtah State University 435-797-1681www.bookstore.usu.edu

WASHINGTON

SeattleUniversity of Washington Bookstore4326 University Way N.E. 800-335-7323ubsbooks@u.washington.eduwww.bookstore.washington.edu

CANADA

AlbertaCalgaryUniversity of Calgary Bookstore MacEwan Student Centre, Room 1552500 University Drive, NW403-220-5937

EdmontonUniversity of Alberta Book-store Student’s Union Building89th Avenue and 116th Street780-492-4215www.bookstore.ualberta.ca

BRITISH COLUMBIA

VancouverUniv. British Columbia Bookstore 6200 University Boulevard604-822-2665

MANITOBA

WinnipegUniversity of Manitoba Bookstore140 University Centre204-474-8321

ONTARIO

LondonUniversity of Western Ontario Bookstore University Community Centre – Lower [email protected]

OttawaUniversity of Ottawa Bookstore85 University [email protected]

TorontoUniv. of Toronto Bookstore214 College [email protected]://www.uoftbookstore.com

York University BookstoreYork Lanes4700 Keele [email protected]://bookstore.yorku.ca

WaterlooUniv. of Waterloo Bookstore 200 University Avenue West519-888-4567 ext. [email protected]://www.adm.uwaterloo.ca/infobook

WindsorUniversity of Windsor Sunset Avenue and Wyandotte Street West 519-973-7018www.bookstore.uwindsor.ca

QUEBEC

MontrealMcGill Univ. Bookstore3420 McTavish Street514-398-7444

2

To Order: visit your local participating bookstore (see p. 1)

Algebra

A. Betten, Colorado State University, Fort Collins, CO, USA; M. Braun, Siemens, Munich, Germany; H. Fripertinger, Karl-Franzens-Universität Graz, Austria; A. Kerber, A. Kohnert, A. Wassermann, University of Bayreuth, Germany

Error-Correcting Linear CodesClassification by Isometry and Applications

This text offers an introduction to error-correcting linear codes for graduate students in mathematics, computer science and engineering and researchers. The book differs from other standard texts in its emphasis on the classifica-tion of codes by means of isometry classes. The attached CD provides access to generator matrices of more than 70000 nonisometric optimal codes, covering all optimal codes for a given set of code parameters. It also contains software for evaluating minimum distances, weight enumerators, and for the construction of codes.

2006. XXX, 798 p. 51 illus. With CD-ROM. (Algorithms and Computation in Mathematics, Volume 18) HardcoverISBN 978-3-540-28371-3 7 $89.55Sale price 7 $59.50

D. Bump, Stanford University, CA, USA

Lie GroupsFrom the reviews 7 “This book is a nice and rich introduction to the beautiful theory of Lie groups and its connection to many other areas of math-ematics.” 7 Karl-Hermann Neeb, Mathematical Reviews, 2005“As Lie theory prerequisites can pose a great hurdle to number-theory students attracted to this program, Bump’s book will find an enthusiastic clientele even in an already crowded market. It will particularly delight readers who already know some of this material: the many short chapters generally begin with a map of the precise regress necessary to start wherever one ought. Summing Up: Highly recommended.” 7 D.V. Feldman, CHOICE, Vol. 42 (8), April, 2005

2004. XI, 451 p. 50 illus. (Graduate Texts in Math-ematics, Volume 225) HardcoverISBN 978-0-387-21154-1 7 $59.95Sale price 7 $39.50

J. E. Humphreys, University of Massachusetts, Amherst, MA, USA

Introduction to Lie Algebras and Representation TheoryFrom the reviews 7 “An excellent introduction to the subject, ideal for a one semester graduate course.” 7 The American Mathematical Monthly “Exceptionally well written and ideally suited either for independent reading or as a text for an introduction to Lie algebras and their representa-tions.” 7 Mathematical Reviews

1st ed. 1972. Corr. 7th printing 1997. XII, 173 p. 7 illus. (Graduate Texts in Mathematics, Volume 9) HardcoverISBN 978-0-387-90053-7 7 $64.95Sale price 7 $49.50

R. S. Irving, University of Washington, Seattle, WA, USA

Integers, Polynomials, and RingsA Course in Algebra

From the reviews 7 “The book focuses mainly on the ‘doing’ of algebra. … The chief aim of the author is for students ‘to master such skills as learning what a mathematical statement is, what a mathematical argument or proof is, how to present an argument orally … and how to converse effec-tively about mathematics.’ … the author strives to motivate students, gradually developing their insights and abilities. … It is an excellent primer for beginners in the field of abstract algebra, espe-cially for future school teachers.” 7 P. Shiu, The Mathematical Gazette, Vol. 89 (516), 2005

2004. X, 284 p. 3 illus. (Undergraduate Texts in Math-ematics) SoftcoverISBN 978-0-387-20172-6 7 $39.95Sale price 7 $29.50

F. Ischebeck, Universität Münster, Germany; R. A. Rao, Tata Research Institute Bombay, India

Ideals and RealityProjective Modules and Number of Generators of Ideals

From the reviews 7 “The book under review deals with projective modules and the minimal number of generators of ideals and modules over a Noetherian ring. This book is written in a style accessible to a graduate student and fairly self-contained. It has a collection of interesting

exercises at the end … . It also has an extensive bibliography, supplemented by yet another bibliog-raphy giving only the Math. Review numbers. … I highly recommend this book to anyone interested in problems related to complete intersections and projective modules.” 7 N. Mohan Kumar, Zentralblatt MATH, Vol. 1075, 2006

2005. XIV, 336 p. (Springer Monographs in Math-ematics) HardcoverISBN 978-3-540-23032-8 7 $89.95Sale price 7 $49.50

M. Kashiwara, University of Kyoto, Japan; P. Scha-pira, Université Pierre et Marie Curie, Paris, France

Categories and SheavesFrom the reviews 7 “This book of Kashiwara and Schapira, recognized specialists in algebraic analysis, is a detailed full-scale exposition of categories, homological algebra and sheaves. These notions are presented from scratch up to the most recent (sometimes new) results …” 7 Corrado Marastoni, Mathematical Reviews, 2006

2006. X, 497 p. (Grundlehren der mathematischen Wissenschaften, Volume 332) HardcoverISBN 978-3-540-27949-5 7 $119.00Sale price 7 $79.50

A. Y. Khrennikov, M. Nilsson, University of Växjö, Sweden

P-adic Deterministic and Random DynamicsFrom the reviews 7 “The growing interest in non-Archimedean counterparts of virtually all main notions of classical mathematics and could not leave out holomorphic dynamics, one of the central subjects of modern analysis. … The authors of this book are among the most active contribu-tors … and their results constitute the main mate-rial of the book. … The book will be interesting both to specialists in dynamical systems wishing to see the ‘p-adic face’ of their field, and to readers looking for new applications of mathematics …” 7 Anatoly N. Kochubei, Mathematical Reviews, 2005

2004. XVII, 270 p. (Mathematics and Its Applications, Volume 574) HardcoverISBN 978-1-4020-2659-1 7 $99.00Sale price 7 $59.50

Algebra

See full descriptions at springer.com/sales

3

M. Kreuzer, University of Dortmund, Germany; L. Robbiano, University of Geneva, Italy

Computational Commutative Algebra 2From the reviews 7 “Four years ago the authors published the first volume of a projected series about computational commutative algebra … . Now they have gifted us with the second volume … . In this second volume the authors continue with the same style, as the first, an almost humorous one. … It was a pleasure to review this nice book … .” 7 Paulo F. Machado, Mathematical Reviews, Issue 2006

2005. X, 586 p. HardcoverISBN 978-3-540-25527-7 7 $64.95Sale price 7 $49.50

T. Lam, University of California, Berkeley, CA, USA

Exercises in Modules and RingsThis volume is designed as a problem book for the author’s Lectures on Modules and Rings (Springer GTM, Vol. 189), from which the majority of the exercises were taken. Some forty new exercises have been added to further broaden the coverage. As a result, this book is ideal both as a companion volume to Lectures, and as a source for independent study. For students and researchers alike, this book will also serve as a handy reference for a copious amount of information in algebra and ring theory otherwise unavailable from textbooks.

2007. XVIII, 412 p. (Problem Books in Mathematics) HardcoverISBN 978-0-387-98850-4 7 $59.95Sale price 7 $44.50

T. Lam, University of California, Berkeley, CA, USA

A First Course in Noncommutative RingsFrom the reviews of the second edition 7 “Ten years ago, the first edition ... of this book appeared. It is quite rare that a book can become a classic in such a short time, but this did happen for this excellent book. Of course minor changes were made for the second edition; new exercises and an appendix on uniserial modules were added. Every part of the text was written with love and care. The explanations are very well done, useful examples help to understand the material ...” 7 G. Pilz, Internationale Mathematische Nach-richten, Issue 196, 2004

2nd ed. 2001. XIX, 385 p. (Graduate Texts in Math-ematics, Volume 131) SoftcoverISBN 978-0-387-95325-0 7 $59.95Sale price 7 $39.50

S. Lang, Yale University, New Haven, CT, USA

Linear AlgebraFrom the reviews 7 “The present textbook is intended for a one-term course at the junior or senior level. It begins with an exposition of the basic theory of finite-dimensional vector spaces and proceeds to explain the structure theorems for linear maps, including eigenvectors and eigen-values, quadratic and Hermitian forms, diago-nalization of symmetric, Hermitian, and unitary linear maps and matrices, triangulation, and Jordan canonical form. It also includes a useful chapter on convex sets and the finite-dimensional Krein-Milman theorem. The presentation is aimed at the student who has already had some exposure to the elementary theory of matrices, determi-nants, and linear maps. In this third edition, many parts of the book have been rewritten and reorganized, and new exercises have been added.” 7 S. Lajos, Mathematical Reviews

3rd ed. 1987. Corr. 11th printing 2004. IX, 296 p. 21 illus. (Undergraduate Texts in Mathematics) HardcoverISBN 978-0-387-96412-6 7 $52.95Sale price 7 $39.50

E. Miller, University of Minnesota, Minneapolis, MN, USA; B. Sturmfels, University of California at Berkeley, Berkeley, CA, USA

Combinatorial Commutative AlgebraFrom the reviews 7 “The book under review constitutes a self-contained introduction to the use of combinatorial methods in commutative algebra. … Concrete calculations and examples are used to introduce and develop concepts. Numerous exercises provide the opportunity to work through the material and end of chapter notes comment on the history and development of the subject. The authors have provided us with a useful refer-ence and an effective text book.” 7 R. J. Shank, Zentralblatt MATH, Vol. 1090 (16), 2006

2005. XIV, 420 p. 102 illus. (Graduate Texts in Math-ematics, Volume 227) SoftcoverISBN 978-0-387-23707-7 7 $49.95Sale price 7 $39.50

G. Nebe, RWTH Aachen, Germany; E. M. Rains, University of California Davis, CA, USA; N. J. Sloane, AT&T Shannon Labs, Florham Park, NJ, USA

Self-Dual Codes and Invariant TheoryFrom the reviews 7 “This book under review the general notions of form rings and their representa-tions … . This book, introducing a new unifying

theory and its applications to a wealth of substan-tial examples, is certainly written for experts in the field.” 7 Jürgen Müller, Mathematical Reviews, Issue 2007

2006. XXVII, 430 p. 10 illus. (Algorithms and Compu-tation in Mathematics, Volume 17) HardcoverISBN 978-3-540-30729-7 7 $99.00Sale price 7 $59.50

M. S. Osborne, University of Washington, Seattle, WA, USA

Basic Homological AlgebraFrom the reviews 7 “The book is well written. We find here many examples. Each chapter is followed by exercises, and at the end of the book there are outline solutions to some of them. ... I especially appreciated the lively style of the book; compared with some other books on homological algebra, one has here the good feeling that one understands why a notion is defined in this way,that one can easily remember at least the structure of the theory, and that one is quickly able to find necessary details. The prerequisite for this book is a graduate course on algebra, but one get quite far with a modest knowledge of algebra. The book can be strongly recommended as a textbook for a course on homological algebra.” 7 EMS Newsletter, June 2001

2000. X, 395 p. (Graduate Texts in Mathematics, Volume 196) HardcoverISBN 978-0-387-98934-1 7 $79.95Sale price 7 $49.50

J. Pitkethly, B. Davey, La Trobe University, Victoria, Australia

DualisabilityUnary Algebras and Beyond

From the reviews of the first edition 7 “This fascinating book shows that even in the realm of unary algebras, where one might expect the situa-tion to be virtually trivial almost all pathological behaviour occurs already. … The list of references is thorough and the index excellent.” 7 Sheila Oates-Williams, Zentralblatt MATH, Vol. 1085, 2006

2005. XII, 263 p. 38 illus. (Advances in Mathematics, Volume 9) HardcoverISBN 978-0-387-27569-7 7 $69.95Sale price 7 $39.50

Algebra

4


U. Ray, Université de Reims, France

Automorphic Forms and Lie SuperalgebrasMost known examples of Lie superalgebras with a related automorphic form, such as the Fake Monster Lie algebra whose reflection group is given by the Leech lattice, arise from (super)string theory and can be derived from lattice vertex algebras. This book provides the tools to understand the ongoing classification and construction project of this class of Lie superalgebras and is ideal for a graduate course.

2006. X, 290 p. (Algebra and Applications, Volume 5) HardcoverISBN 978-1-4020-5009-1 7 $79.95Sale price 7 $59.50

S. Roman, University of California, Irvine, CA, USA

Advanced Linear AlgebraFrom the reviews 7 “In this 2nd edition, the author has rewritten the entire book and has added more than 100 pages of new materials. … As in the previous edition, the text is well written and gives a thorough discussion of many topics of linear algebra and related fields. … the exercises are rewritten and expanded. … Overall, I found the book a very useful one. … It is a suitable choice as a graduate text or as a reference book.” 7 Ali-Akbar Jafarian, Zentralblatt MATH, Vol. 1085, 2006

2nd ed. 2005. XVI, 504 p. 18 illus. (Graduate Texts in Mathematics, Volume 135) HardcoverISBN 978-0-387-24766-3 7 $69.95Sale price 7 $39.50

J. Serre

Linear Representations of Finite GroupsFrom the reviews 7 “Serre’s book gives a fine introduction to representations for various audi-ences . . . As always with Serre, the exposition is clear and elegant, and the exercises contain a great deal of valuable information that is otherwise hard to find . . . it is highly recommended for special-ists and nonspecialists alike.” 7 Bulletin Of The American Mathematical Society

1st ed. 1977. Corr. 5th printing 1996. X, 170 p. (Grad-uate Texts in Mathematics, Volume 42) HardcoverISBN 978-0-387-90190-9 7 $64.95Sale price 7 $39.50

J. Serre, College de France, Paris, France

Local AlgebraThis is an English translation of the now classic “Algbre Locale - Multiplicits” originally published by Springer as LNM 11. It gives a short account of the main theorems of commutative algebra, with emphasis on modules, homological methods and intersection multiplicities. Many modifications to the original French text have been made for this English edition, making the text easier to read, without changing its intended informal character.

2000. XIII, 129 p. (Springer Monographs in Math-ematics) HardcoverISBN 978-3-540-66641-7 7 $59.95Sale price 7 $39.50

P. Tauvel, R. W. Yu, Université de Poitiers, France

Lie Algebras and Algebraic GroupsFrom the reviews 7 “As Tauvel and Yu focus on algebraic groups, they approach Lie theory via algebraic geometry and even develop that subject from scratch … . For the purpose at hand, Tauvel and Yu’s work compares favorably … . Summing Up: Highly recommended. Upper-division undergraduates through professionals.” 7 D.V. Feldman, Choice, 43:10, June 2006 “The sheer volume of material covered herein should make this book an invaluable reference for people interested in, or teaching, Lie algebras or algebraic groups. It truly provides ‘one stop shopping’ for someone needing a result or hard-to-find proof. … I cannot even begin to imagine how much work must have gone into creating such a thorough and comprehensive reference, and I have no doubt it will be an important and useful addition to the literature on this subject.” 7 Mark Hunacek, The Mathematical Gazette, 90:19, 2006

2005. XVI, 653 p. (Springer Monographs in Math-ematics) HardcoverISBN 978-3-540-24170-6 7 $89.95Sale price 7 $49.50

W. Vasconcelos, Rutgers University, Piscataway, NJ, USA

Integral ClosureRees Algebras, Multiplicities, Algorithms

From the reviews 7 “Wolmer Vasconocelos is an authoritative figure in commutative algebra today. … The book under review is an important undertaking and will likely represent an essential research tool for generations to come as well as a standard reference text. … The book is a tour

de force in commutative algebra … . Wolmer Vasconcelos does a wonderful job presenting the big picture surrounding the concepts … . This book is recommended to graduate students and mathematicians … . It represents a great addition to the literature.” 7 Florian Enescu, Zentralblatt MATH, Vol. 1082, 2006

2005. XII, 519 p. (Springer Monographs in Math-ematics) HardcoverISBN 978-3-540-25540-6 7 $99.00Sale price 7 $59.50

S. H. Weintraub, Lehigh University, Bethlehem, PA, USA

Galois TheoryFrom the reviews 7 “The text offers the standard material of classical field theory and Galois theory, though in a remarkably original, unconventional and comprehensive manner … . the book under review must be seen as a highly welcome and valu-able complement to existing textbook literature … . It comes with its own features and advantages … it surely is a perfect introduction to this ever-green subject. The numerous explaining remarks, hints, examples and applications are particularly commendable … just as the outstanding clarity and fullness of the text.” 7 Werner Kleinert, Zentralblatt MATH, Vol. 1089 (15), 2006

2006. XIII, 190 p. (Universitext) SoftcoverISBN 978-0-387-28725-6 7 $49.95Sale price 7 $34.50

Analysis

V. Arnold, Russian Academy of Sciences, Moscow, Russia

Mathematical Methods of Classical MechanicsFrom the reviews 7 “The book’s goal is to provide an overview, pointing out highlights and unsolved problems, and putting individual results into a coherent context. It is full of historical nuggets, many of them surprising . . . The examples are especially helpful; if a particular topic seems difficult, a later example frequently tames it. The writing is refreshingly direct, never degenerating into a vocabulary lesson for its own sake. The book accomplishes the goals it has set for itself. While it is not an introduction to the field, it is an excellent overview.” 7 American Mathema-tical Monthly

2nd ed. 1989. Corr. 4th printing 1997. XVI, 509 p. 269 illus. (Graduate Texts in Mathematics, Volume 60) HardcoverISBN 978-0-387-96890-2 7 $64.95Sale price 7 $49.50

Analysis

AnalysisSee full descriptions at springer.com/sales

5

V. I. Arnold, Steklov Mathematical Institute, Moscow, Russia (Ed.)

Arnold‘s ProblemsFrom the reviews 7 “Reading the book under review, especially its first part ‘The Problems’, is a gripping pastime. […] The book enables one to plunge into a fascinating kaleidoscope of ideas and results which constitute, taken together, a rather sizeable part of mathematics of the second half of the last century. And, last but not least, the design of the book is really beautiful. To summarize, the book under review is a wonderful gift PHASIS and Springer-Verlag have presented to the mathemat-ical community. […]” 7 Mikhail B. Sevryuk, Bulletin (New Series) of the American Mathe-matical Society, June 2005

2005. XV, 639 p. SoftcoverISBN 978-3-540-20748-1 7 $49.95Sale price 7 $34.50

W. Arveson, University of California at Berkeley, CA, USA

A Short Course on Spectral TheoryFrom the reviews 7 “This book, a product of the author’s own graduate courses on spectral theory, offers readers an expert and informed treatment of the major aspects of the spectral theory of Hilbert space operators. It is evident that a great deal of thought has gone into the choice of topics, the presentation of the results, and the design of exercises. The text is clearly written and the mate-rial is motivated in a fashion that a newcomer to the subject can readily understand…Graduate students and experienced mathematicians alike will enjoy and benefit from a close reading of this well-written book.” 7 Mathematical Reviews

2002. XI, 135 p. (Graduate Texts in Mathematics, Volume 209) HardcoverISBN 978-0-387-95300-7 7 $49.95Sale price 7 $34.50

K. Atkinson, W. Han, University of Iowa, Iowa City, IA, USA

Theoretical Numerical AnalysisA Functional Analysis Framework

From the reviews 7 “Overall, the book is clearly written, quite pleasant to read, and contains a lot of important material; and the authors have done an excellent job at balancing theoretical developments, interesting examples and exercises, numerical experiments, and bibliographical refer-ences.” 7 SIAM

2nd ed. 2005. Corr. 2nd printing 2007. XVIII, 576 p. 33 illus. (Texts in Applied Mathematics, Volume 39) HardcoverISBN 978-0-387-25887-4 7 $79.95Sale price 7 $59.50

E. Barbeau, University of Toronto, ON, Canada

PolynomialsFrom the reviews 7 “This book uses the medium of problems to enable us, the readers, to educate ourselves in matters polynomial. In each section we are led, after a brief introduction, into a sequence of problems on a certain topic. If we do these successfully, we find that we have mastered the basics of the topic. If we have any difficulties, we can refer first to the hints, and, failing these, to the detailed solutions. These form an important and substantial part of the book, and often refer the reader on to the research literature. The book, like good literature, can be read successfully at different levels, and would not be out of place in any mathematician’s library.” 7 Mathematical Reviews

1st ed. 1989. 3rd printing 2003. XXII, 455 p. 36 illus. (Problem Books in Mathematics) SoftcoverISBN 978-0-387-40627-5 7 $39.95Sale price 7 $29.50

C. M. Bender, Washington University, St.Louis, MO, USA; S. A. Orszag, Yale University, New Haven, CT, USA

Advanced Mathematical Methods for Scientists and Engineers IAsymptotic Methods and Perturbation Theory

From the reviews 7 “... This is a book that has stood the test of time and I cannot but endorse the remarks of the original reviewer. It is written in a fresh and lively style and the many graphs and tables, comparing the results of exact and approxi-mate methods, were in advance of its time. I have owned a copy of the original for over twenty years,

using it on a regular basis, and, after the original had gone out of print, lending it to my research students. Springer-Verlag has done a great service to users of, and researchers in, asymptotics and perturbation theory by reprinting this classic.” 7 A.D. Wood, Mathematical Reviews

1999. XIV, 593 p. 148 illus. HardcoverISBN 978-0-387-98931-0 7 $89.95Sale price 7 $59.50

J. Borwein, Dalhousie University, Halifax, NS, Canada; A. S. Lewis, Cornell University, Ithaca, NY, USA

Convex Analysis and Nonlinear OptimizationTheory and Examples

From the reviews 7 “The present book gives a concise treatment of the area, aiming to show the relevance in particular of new developments in nonsmooth analysis to optimization theory…The book is of a manageable size and as such should appeal to the student. Further, the proofs are generally short and snappy, revealing the power of the abstract structural approach and fruitful interplay of geometrical and topological ideas. However, considerable ground is covered and, as a graduate text should, it develops the subject up to the frontiers of current research, giving an idea of areas for further exploration…This text will give impetus to the teaching of analysis because it makes evident its significant applications in opti-mization. But it will also bring added attraction to the study of optimization because it reveals so much of its abstract structural base.” 7 Mathematical Reviews

2nd ed. 2006. XII, 310 p. (CMS Books in Mathematics) HardcoverISBN 978-0-387-29570-1 7 $69.95Sale price 7 $49.50

D. M. Bressoud, Macalester College, Saint Paul, MN, USA

Second Year CalculusFrom Celestial Mechanics to Special Relativity

1st ed. 1991. Corr. 4th printing 2001. 404 p. 98 illus. (Undergraduate Texts in Mathematics / Readings in Mathematics) SoftcoverISBN 978-0-387-97606-8 7 $54.95Sale price 7 $39.50

6

Analysis To Order: visit your local participating bookstore (see p. 1)

I. Chudinovich, University of Guanajuato, Mexico; C. Constanda, University of Tulsa, OK, USA

Variational and Potential Methods for a Class of Linear Hyperbolic Evolutionary ProcessesFrom the reviews 7 “This book deals with varia-tional and boundary integral equation techniques applied to hyperbolic systems of partial differential equations governing the nonstationary bending of elastic plates with transverse shear deformation. Results about the variational formulation are first established in the general setting of Sobolev spaces before useful, closed-form integral representations of the solutions are sought in terms of dynamic retarded plate potentials. Most classical problems in the field of elastic plates are considered ...” 7 Isabelle Gruais, Mathematical Reviews


J. B. Conway, University of Tennessee, Knoxville, TN, USA

A Course in Functional AnalysisFrom the reviews 7 “This book is an excel-lent text for a first graduate course in functional analysis . . . Many interesting and important appli-cations are included . . . This book is a fine piece of work. It includes an abundance of exercises, and is written in the engaging and lucid style which we have come to expect from the author.” 7 Mathematical Reviews

2nd ed. 1990. Corr. 4th printing 1997. 1 illus. (Grad-uate Texts in Mathematics, Volume 96) HardcoverISBN 978-0-387-97245-9 7 $79.95Sale price 7 $59.50

J. B. Conway, University of Tennessee, Knoxville, TN, USA

Functions of One Complex Variable IFrom the reviews 7 “This book presents a basic introduction to complex analysis in both an interesting and a rigorous manner. It contains enough material for a full year‘s course, and the choice of material treated is reasonably standard and should be satisfactory for most first courses in complex analysis. The approach to each topic

appears to be carefully thought out both as to mathematical treatment and pedagogical presenta-tion, and the end result is a very satisfactory book for classroom use or self-study.” 7MathSciNet

2nd ed. 1978. Corr. 7th printing 1995. (Graduate Texts in Mathematics, Volume 11) HardcoverISBN 978-0-387-90328-6 7 $59.95Sale price 7 $39.50

K. R. Coombes, R. L. Lipsman, J. M. Rosenberg, University of Maryland, College Park, MD, USA

Multivariate Calculus and MathematicaWith Applications to Geometry and Physics

The goal of this book is to integrate Mathematica into the framework of multivariable calculus. Following a self-tutorial approach, and including problem sets for additional practice, the book introduces readers to the uses of Mathematica as a tool in simplifying calculation and for solving problems in multivariable calculus.

1998. XIII, 283 p. 165 illus. With Diskette. SoftcoverISBN 978-0-387-98360-8 7 $59.95Sale price 7 $39.50

D. E. Edmunds, Sussex University, Brighton, UK; W. D. Evans, Cardiff University, Cardiff, UK

Hardy Operators, Function Spaces and EmbeddingsFrom the reviews 7 “This interesting mono-graph is the second joint book by the two authors. Whereas in their first one … one of the main objects was the study of spectral theory of boundary value problems for elliptic differential operators, the concentration is now more on the function space side … . surely reflects the current state of research in the above-described field. It makes a useful addition to the corresponding liter-ature and will be of great help for those working in this field already ...” 7 Dorothee D. Haroske, Mathematical Reviews, 2005


K. Engel, Faculty of Engineering, University of L‘Aquila, Italy; R. Nagel, University of Tübingen, Germany

A Short Course on Operator SemigroupsFrom the reviews 7 “... I thoroughly enjoyed reading this book and, in my opinion, it should have a necessary position on the bookshelf of any analyst working in operator theory and evolution equations.” 7 Jacek Banasiak, Mathematical Reviews

2006. XII, 247 p. 3 illus. (Universitext) HardcoverISBN 978-0-387-31341-2 7 $59.95Sale price 7 $39.50

S. R. Ghorpade, B. V. Limaye, Indian Institute of Technology, Bombay, India

A Course in Calculus and Real AnalysisFrom the reviews 7 “The book is a self-contained and rigorous introduction to calculus of one vari-able. It covers the programme of the first-year in mathematical analysis. The main goal of the book is a clear and successful presentation of the basic ideas of analysis. The reader can see an attention of the authors to help students in understanding and further developing of the basic notions of the subject. … are illustrated by a number of interesting examples and remarks. In some sense it is a book for self-education.” 7 Sergi V. Rogosin, Zentralblatt MATH, Vol. 1100 (2), 2007

2006. X, 432 p. 71 illus. (Undergraduate Texts in Mathematics) HardcoverISBN 978-0-387-30530-1 7 $59.95Sale price 7 $39.50

M. Hindry, University of Paris, France; J. H. Silverman, Brown University, Providence, RI, USA

Diophantine GeometryAn Introduction

From the reviews 7 “In this excellent 500-page volume, the authors introduce the reader to four fundamental finiteness theorems in Diophantine geometry ... This book is a most welcome addition to the literature. It is well written and renders accessible to students of Diophantine geometry some of the most elegant and beautiful arith-metical results of the 20th century.” 7 Dino J. Lorenzini, Mathematical Reviews

2000. XIII, 558 p. 8 illus. (Graduate Texts in Math-ematics, Volume 201) HardcoverISBN 978-0-387-98975-4 7 $89.95Sale price 7 $59.50

AnalysisSee full descriptions at springer.com/sales

7

K. E. Hirst, University of Southampton, UK

Calculus of One VariableThis user-friendly introduction to the methods of differential and integral calculus of one real variable, eases the transition from high school to university math. It presents new ideas in the context of existing mathematical experience, building on students’ A-level knowledge and extending it to the level encountered in first year degree courses in mathematics and the physical sciences. The emphasis is on helping readers both to understand the critical ideas and to develop their manipulative skills.

2006. XI, 267 p. 72 illus. (Springer Undergraduate Mathematics Series) SoftcoverISBN 978-1-85233-940-1 7 $39.95Sale price 7 $29.50

F. C. Hoppensteadt, E. M. Izhikevich, Arizona State University, Tempe, AZ, USA

Weakly Connected Neural NetworksThis book is devoted to local and global analysis of weakly connected systems with applications to neurosciences. The authors offer the reader classical results as well as some of the most recent developments in the field. The book will be useful to researchers and graduate students in various branches of mathematical neuroscience.

1997. 149 illus. (Applied Mathematical Sciences, Volume 126) HardcoverISBN 978-0-387-94948-2 7 $89.95Sale price 7 $49.50

J. M. Howie, Mathematical Institute, St. Andrews, UK

Real AnalysisFrom the reviews 7 “The book is a clear and structured introduction to real analysis. ... Fully worked out examples and exercises with solutions extend and illustrate the theory. Written in an easy-to-read style, combining informality and precision, the book is ideal for self-study or as a course textbook for first- and second-year under-graduates.” 7 I. Rasa, Zentralblatt MATH, Vol. 969, 2001

1st ed. 2001. Corr. 3rd printing 2006. X, 276 p. 35 illus. With online files/update. (Springer Undergraduate Mathematics Series) SoftcoverISBN 978-1-85233-314-0 7 $39.95Sale price 7 $29.50

P. E. Jorgensen, The University of Iowa, Iowa City, IA, USA

Analysis and ProbabilityWavelets, Signals, Fractals

From the reviews 7 “I find that the best texts … are those drawn from lectures delivered to varied audiences over time. This is such a book … . it also goes further than many to clear a pathway to success for the diligent reader. … discusses the content of the recommended works and their specific topical relation to each chapter in concluding sections entitled ‘References and remarks’. The additional remarks make all the difference. That form of presentation is why this text has excellent motivation throughout …” 7 Tom Schulte, MathDL, February, 2007

2006. XLVII, 276 p. 58 illus. (Graduate Texts in Math-ematics, Volume 234) HardcoverISBN 978-0-387-29519-0 7 $49.95Sale price 7 $39.50

J. Jost, Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany

Postmodern AnalysisThis is an introduction to advanced analysis at the beginning graduate level that blends a modern presentation with concrete examples and applications, in particular in the areas of calculus of variations and partial differential equations. The third edition contains new material on further important tool in analysis, namely cover theorems. Useful references for such results and further properties of various classes of weakly differential functions are added. And finally, misprints and minor inconsistencies have been corrected.

3rd ed. 2005. XV, 371 p. 14 illus. (Universitext) SoftcoverISBN 978-3-540-25830-8 7 $49.95Sale price 7 $39.50

R. Kane, University of Western Ontario, London, ON, Canada

Reflection Groups and Invariant TheoryFrom the reviews 7 “The book is a very accessible introduction to a wonderful part of mathematics that has many applications…it can be pointed out that the approach taken in this book includes examples of the use of Galois theory, Cohen Macaulay properties, Hopf algebras, representation theory and basic algebraic geom-etry. This is a nice way to see applications of these

areas…The book would certainly be a good choice to teach the ideas in the above list, as the book flows very well. Each chapter is well motivated and summarized in its introduction.” 7 Mathematical Reviews

2001. IX, 379 p. 1 illus. (CMS Books in Mathematics) HardcoverISBN 978-0-387-98979-2 7 $89.95Sale price 7 $49.50

S. Lang, Yale University, New Haven, CT, USA

Short CalculusThe Original Edition of “A First Course in Calculus“

From the reviews 7 “This is a reprint of the original edition of Lang’s A first course in calculus, which was first published in 1964. … The treatment is ‘as rigorous as any mathemati-cian would wish it’ … . There are quite a lot of exercises … they are refreshingly simply stated, without any extraneous verbiage, and at times quite challenging. … There are answers to all the exercises set and some supplementary problems on each topic to tax even the most able.” 7 Gerry Leversha, The Mathematical Gazette, Vol. 86 (507), 2002

Reprint of the 1st ed. Addison-Wesley, 1964. 2002. XII, 260 p. 30 illus. (Undergraduate Texts in Math-ematics) SoftcoverISBN 978-0-387-95327-4 7 $49.95Sale price 7 $39.50

J. Nedelec, Ecole Polytechnique, Palaiseau, France

Acoustic and Electromagnetic EquationsIntegral Representations for Harmonic Problems

From the reviews 7 “A remarkable feature of this book is that this rather classical topic of applied mathematics is not approached in the framework of classical Holder spaces but is linked up with concepts of Sobolev spaces and variational methods. This feature gives this monograph a modern feel. On the other hand it has also a quite down to earth flavor, since it includes conrete calculations such as elaborate discussion of the case of the sphere as the domain boundary. That the book is based on lecture notes is still noticeable and makes it comfortable to read and suitable for self-study.” 7 Rainer Picard, Mathematical Reviews, 2002

2001. IX, 316 p. 2 illus. (Applied Mathematical Sciences, Volume 144) HardcoverISBN 978-0-387-95155-3 7 $98.00Sale price 7 $39.50

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Analysis To Order: visit your local participating bookstore (see p. 1)

V. Peller, Michigan State University, East Lansing, MI, USA

Hankel Operators and Their ApplicationsFrom the reviews 7 “The book … is a compre-hensive account (704 pages of text, plus two appendices) of Hankel operators and their applica-tions. … The exposition is systematic and carefully written. … This book is an impressive achieve-ment. It is wide in scope … . is an excellent source of information on Hankel operators and their applications. It is a very welcome addition to the mathematical literature, which both experts and nonexperts will surely find extremely useful.” 7 Harry Dym, Mathematical Reviews, 2004

2003. XV, 784 p. (Springer Monographs in Math-ematics) HardcoverISBN 978-0-387-95548-3 7 $99.00Sale price 7 $59.50

L. A. Rubel, University of Illinois, Urbana, IL, USA

Entire and Meromorphic FunctionsFrom the reviews 7 “This book grew out of lectures from courses given at the University of Illinois in 1993, and earlier. It is written at a level which assumes only a reasonable first course in complex analysis and knowledge of some standard results about the representation of linear functionals....The book is divided into 24 relatively short chapters, and, although some of the later material depends on earlier material, the reader who already has some knowledge of the general subject from other sources should be able to go directly to one of the later sections of the book without undue difficulties. This book is a very welcome addition to the resources available for learning about entire and meromorphic functions.” 7 P. Lappan, Mathematical Reviews

1996. VIII, 187 p. 2 illus. (Universitext) SoftcoverISBN 978-0-387-94510-1 7 $69.95Sale price 7 $39.50

M. Saito, Hokkaido University, Sapporo, Japan; B. Sturmfels, University of California, Berkeley, CA, USA; N. Takayama, University of Kobe, Japan

Gröbner Deformations of Hypergeometric Differential EquationsFrom the reviews 7 “.. The book is very well written and, despite the deep results it contains, it is easy to read. Each chapter provides good and nice examples illustrating all main notions. In

the reviewer’s opinion this book can be addressed not only to researchers but also to beginners in D-module theory and expecially in algorithmic D-module theory.” 7 Francisco Jesus Castro-Jimenez, Mathematical Reviews, Issue 2001

2000. VIII, 254 p. 14 illus. (Algorithms and Computa-tion in Mathematics, Volume 6) HardcoverISBN 978-3-540-66065-1 7 $69.95Sale price 7 $49.50

S. Shirali, University of Bahrain, Kingdon of Bahrain; H. L. Vasudeva, Panjab University, Chandigarh, India

Metric SpacesFrom the reviews 7 “This volume provides a complete introduction to metric space theory for undergraduates. It covers the typology of metric spaces, continuity, connectedness, compactness and product spaces … . The material is developed at a leisurely pace and applications of the theory are discussed throughout, making this book ideal as a classroom text for third- and fourth-year under-graduates or as a self-study resource for graduate students and researchers.” 7 L’Enseignement Mathematique, Vol. 51 (3-4), 2005

2006. VIII, 222 p. 21 illus. SoftcoverISBN 978-1-85233-922-7 7 $44.95Sale price 7 $29.50

P. N. Souza, University of California at Berkeley, CA, USA; J. Silva, University of Lisbon, Portugal

Berkeley Problems in MathematicsFrom the reviews 7 “The Mathematics depart-ment of the University of California, Berkeley, has set a written preliminary examination to determine whether first year Ph.D. students have mastered enough basic mathematics to succeed in the doctoral program. Berkeley Problems in Mathematics is a compilation of all the … ques-tions, together with worked solutions … . All the solutions I looked at are complete … . Some of the solutions are very elegant. … This is an impres-sive piece of work and a welcome addition to any mathematician’s bookshelf.” 7 Chris Good, The Mathematical Gazette, 90:518, 2006

3rd ed. 2004. XIV, 591 p. 42 illus. (Problem Books in Mathematics) SoftcoverISBN 978-0-387-00892-9 7 $44.95Sale price 7 $34.50

A. Vretblad, University of Uppsala, Sweden

Fourier Analysis and Its ApplicationsFrom the reviews 7 “This book is one in the Graduate Texts in Mathematics series published by Springer. … There is a variety of worked examples as well as 350-plus exercises … . The book is a valuable addition to the literature on Fourier analysis. It is written with more mathematical rigour than many texts … without being totally opaque to the non-specialist. … The examples at the end of each chapter are well structured and a reader working through most of them will achieve a good understanding of the topics.” 7 Graham Brindley, The Mathematical Gazette, Vol. 90 (517), 2006

1st ed. 2003. Corr. 2nd printing 2005. XI, 269 p. (Grad-uate Texts in Mathematics, Volume 223) HardcoverISBN 978-0-387-00836-3 7 $59.95Sale price 7 $39.50

Y. Yang, Polytechnic University, Brooklyn, NY, USA

Solitons in Field Theory and Nonlinear AnalysisFrom the reviews 7 “Solitons in field theory and nonlinear analysis present a thorough analysis of many different parts in field theory. ... For the enthusiastic, there are some open problems to think about at the end of each chapter. Solitons in field theory and nonlinear analysis is a solid research monograph with a lot of information in it and should certainly stimulate those who already have some background in field theory and analysis.” 7 C. Gilson, Proceedings of the Edin-burgh Mathematical Society, Vol. 47, 2004

2001. XXIV, 553 p. (Springer Monographs in Math-ematics) HardcoverISBN 978-0-387-95242-0 7 $119.00Sale price 7 $59.50

ApplicationsSee full descriptions at springer.com/sales

9

Applications

J. Banasiak, University of KwaZulu-Natal, Durban, South Africa; L. Arlotti, University of Udine, Italy

Perturbations of Positive Semigroups with ApplicationsFrom the reviews 7 “This book is a self-con-tained mathematical monograph devoted to the theory of semigroups of linear operators … . The book includes a systematic treatment of classical and recent results in this area as well as a compre-hensive survey of the vast literature … . Each chapter contains a preliminary section with clear references to the bibliography and with technical remarks. … Throughout the book, the style is clear and elegant. … this book can be highly recom-mended to anybody who works in this area.” 7 Adina Luminita Sasu, Zentralblatt MATH, Vol. 1097 (23), 2006

2006. XIV, 438 p. (Springer Monographs in Math-ematics) HardcoverISBN 978-1-85233-993-7 7 $89.95Sale price 7 $59.50

V. Dragan, T. Morozan, Institute of Mathematics of the Romanian Academy, Bucharest, Romania; A. Stoica, University Politechnica of Bucharest, Romania

Mathematical Methods in Robust Control of Linear Stochastic SystemsFrom the reviews 7 “The subject of the book is related to the development of a theory of linear stochastic systems including both white noise and jump Markov perturbations, and to the development of analysis and design methods for linear-quadratic control, robust stabilization and disturbance attenuation problems. … The book addresses graduate students and researchers in advanced control engineering, applied mathe-matics, mathematical systems theory and finance.” 7 Vladimir Sobolev, Zentralblatt MATH, Vol. 1101 (3), 2007

2006. XII, 312 p. 2 illus. (Mathematical Concepts and Methods in Science and Engineering, Volume 50) HardcoverISBN 978-0-387-30523-3 7 $79.95Sale price 7 $59.50

W. J. Ewens, University of Pennsylvania, Philadelphia, PA, USA

Mathematical Population GeneticsI. Theoretical Introduction

From the reviews 7 “This is an excellent book on population genetics and evolution placing the emphasis on mathematical and statistical aspects of the theory. … the author successfully connects classical prospective theory with the current retrospective viewpoint of population genetics. … this is an exciting and significant book which reflects the author’s enthusiasm and experience in the field through many decades. It should be read by graduate students and researchers interested in mathematical aspects of population genetics …” 7 Günther Karigl, Zentralblatt MATH, Vol. 1060, 2005

2nd ed. 2004. XIX, 417 p. 3 illus. (Interdisciplinary Applied Mathematics, Volume 27) HardcoverISBN 978-0-387-20191-7 7 $79.95Sale price 7 $59.50

F. Giannessi, University of Pisa, Italy

Constrained Optimization and Image Space AnalysisVolume 1: Separation of Sets and Optimality Conditions

From the reviews 7 “This is a very substantial and useful monograph … . it would be an excel-lent reference in a course at the graduate level in engineering or the advanced undergraduate level in mathematics, as well as for working mathemati-cians interested in optimization. This book is of unusually fine quality … it will amply repay the time required. A notable feature of this work is the depth and completeness of coverage of many of the topics. … Another aspect … is the extensive use of examples.” 7 Stephen M. Robinson, SIAM Review, Vol. 48 (2), 2006

2005. XII, 395 p. 69 illus. (Mathematical Concepts and Methods in Science and Engineering, Volume 49) HardcoverISBN 978-0-387-24770-0 7 $149.00Sale price 7 $79.50

J. Groah, Montgomery College, Conroe, TX, USA; J. Smoller, University of Michigan, Ann Arbor, MI, USA; B. Temple, University of California, Davis, CA, USA

Shock Wave Interactions in General RelativityA Locally Inertial Glimm Scheme for Spherically Symmetric Spacetimes

This monograph presents a self contained mathematical treatment of the initial value problem for shock wave solutions of the Einstein equations in General Relativity. The book will be useful to graduate students and researchers in mathematics and physics.

2007. VIII, 152 p. 7 illus. (Springer Monographs in Mathematics) HardcoverISBN 978-0-387-35073-8 7 $89.95Sale price 7 $69.50

H. Holden, Norwegian University of Science and Technology, Trondheim, Norway; N. H. Risebro, University of Oslo, Norway

Front Tracking for Hyperbolic Conservation LawsFrom the reviews 7 “The present book is an excellent compromise between theory and practice. Since it contains a lot of theorems, with full proofs, it is a true piece of mathematical analysis. On the other hand, it displays a lot of details and information about numerical approximation for the Cauchy problem. Thus it will be of interest for a wide audience. Students will appreciate the lively and accurate style … . this text is suitable for graduate courses in PDEs and numerical analysis.” 7 Denis Serre, Mathematical Reviews, 2003

1st ed 2002. Corr. 2nd printing 2007. XII, 364 p. 40 illus. (Applied Mathematical Sciences, Volume 152) HardcoverISBN 978-3-540-43289-0 7 $89.95Sale price 7 $49.50

J. Istas, Université Pierre Mendès-France, Grenoble, France

Mathematical Modeling for the Life SciencesFrom the reviews 7 “Proposing a wide range of mathematical models that are currently used in life sciences may be regarded as a challenge, and that is precisely the challenge that this book takes up. … Each mathematical model is explained and illustrated individually with an appropriate biological example.” 7 T. Postelnicu, Zentralb-latt MATH, Vol. 1081, 2006

2005. VII, 164 p. 2 illus. (Universitext) SoftcoverISBN 978-3-540-25305-1 7 $49.95Sale price 7 $39.50

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Applications To Order: visit your local participating bookstore (see p. 1)

J. Logan, University of Nebraska-Lincoln, Lincoln, NE, USA

Transport Modeling in Hydrogeochemical SystemsFrom the reviews 7 “This is a very interesting book in interdisciplinary applied mathematics. The book deals with the interplay between math-ematics and hydrogeology, via modelling and analysis in terms of partial differential equations for transport and reaction of solutes in the ground-water. The models are simple but the results are illuminating.” 7 Jinqiao Duan, Mathematical Reviews, 2002

2001. XIV, 223 p. 50 illus. (Interdisciplinary Applied Mathematics, Volume 15) HardcoverISBN 978-0-387-95276-5 7 $99.00Sale price 7 $59.50

Y. Ma, University of Illinois at Urbana-Champaign, Urbana, IL, USA; S. Soatto, University of California, Los Angeles, CA, USA; J. Kosecká, George Mason University, Fairfax, VA, USA; S. S. Sastry, University of California, Berkeley, CA, USA

An Invitation to 3-D VisionFrom Images to Geometric Models

From the reviews 7 “Computer vision is invading our daily lives … . Covering all the aspects would be too vast an area to cover in one book, so here, the authors concentrated on the specific goal of recovering the geometry of a 3D object … . The 22 pages of references form a good guide to the literature. The authors found an excel-lent balance between a thorough mathematical treatment and the applications themselves. … the text will be a pleasure to read for students …” 7 Adhemar Bultheel, Bulletin of the Belgian Mathematical Society, Vol. 12 (2), 2005

1st ed. 2004. Corr. 2nd printing 2005. X, 552 p. 170 illus. (Interdisciplinary Applied Mathematics, Volume 26) HardcoverISBN 978-0-387-00893-6 7 $79.95Sale price 7 $49.50

P. A. Markowich, University of Vienna, Austria

Applied Partial Differential Equations:A Visual Approach

This book presents topics of science and engineering occurring in nature and are part of our daily lives. These natural phenomena are modeled by partial differential equations, which relate physical variables like mass, velocity, energy, etc. to their spatial and temporal

variations. Featuring unique and easy access to the different applications, and many beautiful color photographs.

2007. X, 206 p. 96 illus., 81 in color. With CD-ROM. HardcoverISBN 978-3-540-34645-6 7 $79.95Sale price 7 $59.50

V. C. Mavron, University of Wales, Aberystwyth, UK; T. N. Phillips, University of Cardiff, UK

Elements of Mathematics for Economics and FinanceThis book equips undergraduates with the mathematical skills required for degree courses in economics, finance, management, and business studies. The fundamental ideas are described in the simplest mathematical terms, highlighting threads of common mathematical theory in the various topics. Coverage helps readers become confident and competent in the use of mathematical tools and techniques that can be applied to a range of problems.

2007. X, 312 p. SoftcoverISBN 978-1-84628-560-8 7 $49.95Sale price 7 $39.50

A. Nepomnyashchy, I. Simanovskii, Technion - Israel Institute of Technology, Haifa, Israel; J. C. Legros, Universite Libre de Bruxelles, Belgium

Interfacial Convection in Multilayer SystemsFrom the reviews 7 “This book gives a systematic investigation of convection in systems comprised of liquid layers with deformable interfaces. The equations and models are carefully developed. … The literature review of recent works is very timely. … This monograph pulls together the large amount of very recent theoretical and experimental works related to interfacial convec-tion in multilayer systems and is a valuable contri-bution.” 7 Yuriko Y. Renardy, Mathematical Reviews, Issue 2007

2006. XI, 306 p. 187 illus. (Springer Monographs in Mathematics) HardcoverISBN 978-0-387-22194-6 7 $89.95Sale price 7 $59.50

H. Oertel, University of Karlsruhe, Germany (Ed.)

Prandtl‘s Essentials of Fluid MechanicsFrom the reviews 7 “Prandtl’s classical text on fluid mechanics … is with good reasons regarded

as the best book in the field it covers … . the present book is a thoroughly revised, updated and enlarged new one that in the best possible way takes into account the accumulated body of knowledge in the field of fluid mechanics during the elapsed fifty years. … it is highly recommend-able to everyone who is already working in the field of fluid mechanics or just begins to study it.” 7 Tomislav Zlatanovski, Zentralblatt MATH, Vol. 1073, 2005

2nd ed. 2004. XII, 723 p. 530 illus. (Applied Math-ematical Sciences, Volume 158) HardcoverISBN 978-0-387-40437-0 7 $89.95Sale price 7 $59.50

D. D. Yao, Columbia University, New York, NY, USA; S. Zheng, Hong Kong University of Science and Technology, Kowloon, Hong Kong

Dynamic Control of Quality in Production-Inventory SystemsCoordination and Optimization

This book develops a set of dynamic approaches characterized by coordination. The basic methodology underlying the studies is Markov decision programming. The book can be used as a graduate text for a new course on statistical process control, or as a reference for researchers and practitioners in mathematics, operations research and operations management, quality control, production planning, and logistics.

2002. IX, 218 p. 4 illus. (Springer Series in Operations Research and Financial Engineering) HardcoverISBN 978-0-387-95491-2 7 $89.95Sale price 7 $49.50

D. W. Yeung, Hong Kong Baptist University, Kowloon, Hong Kong, China; L. A. Petrosyan, St.Petersburg State University, St.Petersburg, Russia

Cooperative Stochastic Differential GamesFrom the reviews 7 “This book is written by two of the main experts in the theory of coopera-tive stochastic differential games. It includes the results of many recent articles in the field, mainly by the authors themselves. … In fact there is no other textbook on cooperative stochastic differ-ential games and this makes the book a must for everyone interested … . The book is nicely written and reads well …” 7 Christian-Oliver Ewald, Mathematical Reviews, Issue 2006

2006. XII, 242 p. (Springer Series in Operations Research and Financial Engineering) HardcoverISBN 978-0-387-27620-5 7 $79.95Sale price 7 $49.50

Computational Science & EngineeringSee full descriptions at springer.com/sales

11

Computational Science & Engineering

D. Ashlock, University of Guelph, ON, Canada

Evolutionary Computation for Modeling and OptimizationFrom the reviews 7 “Evolutionary computa-tion is a rich and diverse field … . This book … delivers a very practical introduction to the basics of the field … . The tasks considered are all very motivational and advance from instructional toy examples to real world applications. … The particular strength of the book lies in its didactic capabilities. The instructor will find different suggestions for selecting chapters leading to courses with different focus. … This makes designing courses with the help of this book … an easy task.” 7 Thomas Jansen, Mathematical Reviews, Issue 2006

2006. XX, 572 p. 163 illus. HardcoverISBN 978-0-387-22196-0 7 $79.95Sale price 7 $59.50

D. Betounes, M. Redfern, University of Southern Mississippi, Hattiesburg, MS, USA

Mathematical ComputingAn Introduction to Programming Using Maple

This book teaches introductory computer programming using Maple, offering more mathematically oriented exercises and problems than those found in traditional programming courses, while reinforcing and applying concepts and techniques of calculus. Includes case studies, and a CD-ROM containing electronic versions of all the examples in the text with additional discussion, related material, and optional exercises.

2002. XII, 412 p. 143 illus. With CD-ROM. HardcoverISBN 978-0-387-95331-1 7 $69.95Sale price 7 $39.50

A. Bondeson, T. Rylander, P. Ingelström, Chalmers University of Technology, Göteborg, Sweden

Computational ElectromagneticsFrom the reviews 7 “This book is an introduc-tory textbook on computational electromagnetics. It was developed for an undergraduate level class for engineering students at Chalmers University of Technology, Göteborg, Sweden. It is volume number 51 in the series Texts in Applied Math-ematics, which encourages the teaching of new courses. ... Chapter sections generally end with some review questions, while chapters generally

end with a summary, and some problems and computer projects.” 7 Philip Huddleston, Mathe-matical Reviews

2005. XXII, 222 p. 74 illus. (Texts in Applied Math-ematics, Volume 51) HardcoverISBN 978-0-387-26158-4 7 $69.95Sale price 7 $49.50

J. Borwein, CECM, Simon Fraser University, Burnaby, BC, Canada; M. H. Morales, University of Lisbon, Portugal; K. Polthier, Technische Universität Berlin, Germany; J. F. Rodrigues, CMAF, University of Lisbon, Portugal (Eds.)

Multimedia Tools for Communicating MathematicsFrom the reviews 7 “This book on multimedia tools for communicating mathematics is a selection of presentations which took place at an inter-national workshop organized by the Centro de Matematica e Aplicacoes Fundamentais. … This is an excellent book on tools and algorithms which are used to create new ways of making interactive presentations and multimedia courses. This is also an excellent up-to-date reference book on multi-media tools available for mathematics and related subjects. I strongly recommend this book …” 7 T. E. Simos, Journal of Computational Methods in Sciences and Engineering, Vol. 3 (2), 2003

2002. VIII, 314 p. 114 illus. With CD-ROM. (Math-ematics and Visualization) HardcoverISBN 978-3-540-42450-5 7 $129.00Sale price 7 $69.50

W. Bosma, Katholieke Universiteit Nijmegen, The Netherlands; J. Cannon, University of Sydney, NSW, Australia (Eds.)

Discovering Mathematics with MagmaReducing the Abstract to the Concrete

Edited by the principal designers of the program, this book explores the computer algebra system Magma. Based on the ontology and semantics of algebra, Magma enables users to rapidly formulate and perform calculations in abstract parts of mathematics. Coverage ranges from number theory and algebraic geometry, through representation theory and group theory to discrete mathematics and graph theory. Includes 14 case studies describing innovative computa-tions underpinning new theoretical results.

2006. XXIV, 374 p. 9 illus. (Algorithms and Computa-tion in Mathematics, Volume 19) HardcoverISBN 978-3-540-37632-3 7 $79.95Sale price 7 $59.50

P. Bürgisser, Universität-Gesamthochschule Pader-born, Germany

Completeness and Reduction in Algebraic Complexity TheoryFrom the reviews 7 “.... The subject matter of the book is not easy, since it involves prerequisites from several areas, among them complexity theory, combinatorics, analytic number theory, and representations of symmetric and general linear groups. But the author goes to great lengths to motivate his results, to put them into perspective, and to explain the proofs carefully. In summary, this monograph advances its area of algebraic complexity theory, and is a must for people for working on this subject. And it is a pleasure to read.” 7 Joachim von zur Gathen, Mathema-tical Reviews, 2001

2000. XII, 168 p. 16 illus. (Algorithms and Computa-tion in Mathematics, Volume 7) HardcoverISBN 978-3-540-66752-0 7 $129.00Sale price 7 $59.50

S. Campbell, North Carolina State University, NC, USA; J. Chancelier, CERMICS ENPC, France; R. Nikoukhah, INRIA, France

Modeling and Simulation in Scilab/ScicosThe first part is a detailed Scilab tutorial, and the second is dedicated to modeling and simulation of dynamical systems in Scicos. The concepts are illustrated through numerous examples, and all code used in the book is available to the reader.

2006. XI, 313 p. 103 illus. HardcoverISBN 978-0-387-27802-5 7 $49.95Sale price 7 $39.50

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Computational Science & Engineering To Order: visit your local participating bookstore (see p. 1)

I. Danaila, P. Joly, S. M. Kaber, M. Postel, Université Pierre et Marie Curie, Paris, France

An Introduction to Scientific ComputingTwelve Computational Projects Solved with MATLAB

From the reviews 7 “In An Introduction to Scientific Computing, the authors present approaches to the numerical solution of problems drawn from a variety of applications. … This is a graduate-level introduction and the pace is brisk. … This is a strong text on scientific computing for advanced students in applied mathematics. … the book is most appropriate for students with some prior experience in scientific computing …” 7 William J. Satzer, MathDL, February, 2007

2007. XVI, 294 p. 135 illus. HardcoverISBN 978-0-387-30889-0 7 $59.95Sale price 7 $39.50

S. Elnashaie, Pennsylvania State University at Harris-burg, Middletown, PA, USA; F. Uhlig, University of Auburn, AL, USA

Numerical Techniques for Chemical and Biological Engineers Using MATLAB®A Simple Bifurcation Approach

This book addresses the bifurcation characteris-tics of chemical and biological processes as the general case and treats systems with a unique steady state as special cases. It uses a system approach which is the most efficient for knowledge organization and transfer. The book develops mathematical models for many commercial processes. This is a valuable textbook for undergraduate students of chemical and biologicalengineering, and graduate students, professional engineers and numerical analysts.

2007. XVI, 590 p. 235 illus. With CD-ROM. HardcoverISBN 978-0-387-34433-1 7 $89.95Sale price 7 $69.50

M. Emmer, Università degli Studi „La Sapienza“, Roma, Italy (Ed.)

Mathematics and Culture IVFrom the reviews 7 “The series collects together the proceedings of an annual conference on Math-ematics and Culture held in Italy. … and they are well written. … There are … some very inter-esting pieces on some themes, and these will be of interest and use to those who wish to read about

those particular themes. For this purpose, the books should be available at mathematical public libraries.” 7 Gizem Karaali, MathDL, May, 2007

2007. VIII, 253 p. 121 illus., 13 in color. HardcoverISBN 978-3-540-34254-0 7 $64.95Sale price 7 $49.50

G. B. Gustafson, C. H. Wilcox, University of Utah, Salt Lake City, UT, USA

Analytical and Computational Methods of Advanced Engineering MathematicsFrom the reviews 7 “This is a modern version of the textbook on applied mathematics for under-graduate engineering students. It provides a quick survey to ordinary differential equations, linear algebra, the Laplace transform, vector analysis, Fourier series and other eigenfunction expansions, and Fourier transforms, with applications to the wave equation and heat equation . . . has an excel-lent set of exercises, and the appendix provides answers.” 7 Zentralblatt MATH

1998. XXIV, 729 p. 192 illus. (Texts in Applied Math-ematics, Volume 28) HardcoverISBN 978-0-387-98265-6 7 $99.00Sale price 7 $59.50

E. Hairer, University of Geneva, Switzerland; C. Lubich, University of Tübingen, Germany; G. Wanner, University of Geneva, Switzerland

Geometric Numerical IntegrationStructure-Preserving Algorithms for Ordinary Differential Equations

From the reviews 7 “The second revised edition of the monograph is a fine work organized in fifteen chapters, updated and extended. … The material of the book is organized in sections which are … self-contained, so that one can dip into the book to learn a particular topic … . A person interested in geometrical numerical integration will find this book extremely useful.” 7 Calin Ioan Gheorghiu, Zentralblatt MATH, Vol. 1094 (20), 2006

2nd ed. 2006. XVII, 644 p. 153 illus. (Springer Series in Computational Mathematics, Volume 31) HardcoverISBN 978-3-540-30663-4 7 $109.00Sale price 7 $69.50

Ø. Hjelle, Simula Research Laboratory, Lysaker, Norway; M. Dæhlen, University of Oslo, Norway

Triangulations and ApplicationsThis book will serve as a valuable source of information about triangulations for the graduate student and researcher. With emphasis on computational issues, the basic theory necessary to construct and manipulate triangula-tions is presented. In particular, a tour through the theory behind the Delaunay triangulation, including algorithms and software issues, is given. Various data structures used for the representation of triangulations are discussed. Throughout the book, the theory is related to selected applications, in particular surface construction, meshing and visualization.

2006. XI, 234 p. 126 illus., 5 in color. (Mathematics and Visualization) HardcoverISBN 978-3-540-33260-2 7 $64.95Sale price 7 $49.50

J. Hoffman, C. Johnson, Royal Institute of Tech-nology - KTH, Stockholm, Sweden

Computational Turbulent Incompressible FlowApplied Mathematics: Body and Soul 4

This book is Volume 4 of the series of the Body and Soul mathematics education reform program. It presents a unified new approach to computational simulation of turbulent flow starting from the general basis of calculus and linear algebra covered in Volumes 1 through 3. The text presents new aspects of both math-ematics and computation of turbulent flow, and challenges established approaches.

2007. XX, 398 p. 170 illus., 21 in color. HardcoverISBN 978-3-540-46531-7 7 $74.95Sale price 7 $59.50

A. Iske, Technische Universität München, Germany; E. Quak, M. S. Floater, SINTEF Applied Mathematics, Oslo, Norway (Eds.)

Tutorials on Multiresolution in Geometric ModellingSummer School Lecture Notes

This is the only textbook available on multireso-lution methods in geometric modeling, a central topic in visualization, which is of great impor-tance for industrial applications. Written in tutorial form, the book is introductory in character, and includes supporting exercises.

2002. XI, 421 p. 172 illus., 4 in color. (Mathematics and Visualization) HardcoverISBN 978-3-540-43639-3 7 $89.95Sale price 7 $49.50

Dynamical Systems & Differential Equation


13

G. Karniadakis, Brown University, Providence, RI USA; A. Beskok, Texas A&M University, College Station, TX USA; N. Aluru, University of Illinois at Urbana-Cham-paign, Urbana, IL USA

Microflows and NanoflowsFundamentals and Simulation

From the reviews 7 “Microflows and Nano-flows will become an important reference for any researcher interested in the fundamental science and simulation techniques for flow in microchan-nels and nanopores. ... The new additions in the current book essentially render it the most fundamental book in the field of microfluidics and nanofluidics. … I strongly recommend this book as a fundamental reference for the multiscale simula-tion researchers and for the more fundamental reference theorists in the area of microfluidics and the new field of nanofluidics.” 7 Hsueh-Chia Chang, Mathematical Reviews, 2006

2005. XXII, 818 p. 395 illus. (Interdisciplinary Applied Mathematics, Volume 29) HardcoverISBN 978-0-387-22197-7 7 $89.95Sale price 7 $59.50

J. L. Nazareth, Washington State University, Pullman, WA, USA

Differentiable Optimization and Equation SolvingA Treatise on Algorithmic Science and the Karmarkar Revolution

From the reviews 7 “Nazareth has written an excellent book that includes both introductory and advanced topics. It provides a description of many of the techniques in this area. In addition, the book is sprinkled with beautiful analogies and insights. These insights make this book an interesting read and a learning experience for both the novice and the expert.” 7 Henry Wolkowicz, Notes of the Canadian Mathematical Society

2003. XVII, 256 p. 14 illus. (CMS Books in Math-ematics) HardcoverISBN 978-0-387-95572-8 7 $89.95Sale price 7 $39.50

A. Quarteroni, R. Sacco, Politecnico di Milano, Milan, Italy; F. Saleri, Universitá di Milano, Milan, Italy

Numerical MathematicsFrom the reviews of the first edition 7 “I found many of the examples to be quite interesting. I find no fault with any of the theoretical portions of the text. The authors are quite thorough in their discussion of the theory underlying each of the topics…This text uses MATLAB for programming

the numerical codes. This is a very good choice…It contains a lot of interesting and useful information for experienced users of numerical methods…” 7 SIAM Review

2nd ed. 2007. XVIII, 657 p. 135 illus. (Texts in Applied Mathematics, Volume 37) HardcoverISBN 978-3-540-34658-6 7 $79.95Sale price 7 $59.50

S. Rjasanow, Universität des Saarlandes, Saar-brücken, Germany; W. Wagner, Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany

Stochastic Numerics for the Boltzmann EquationFrom the reviews 7 “The book under review deals with numerical methods for the resolution of the nonlinear Boltzmann equation for rarefied monoatomic gases in 1D and 2D. Because of the high dimensionality of standard kinetic models, the authors privilege the stochastic procedures, namely Direct Simulation Monte Carlo methods (DSMC). Such a method can be investigated mathematically relying on the theory of Markov processes; this in return allows for proposing an extension of DSMC, the so-called Stochastic Weighted Particle Method (SWPM).” 7 Laurent E. Gosse, Mathematical Reviews

2005. XIII, 256 p. (Springer Series in Computational Mathematics, Volume 37) HardcoverISBN 978-3-540-25268-9 7 $89.95Sale price 7 $59.50

J. Sundnes, G. T. Lines, X. Cai, B. F. Nielsen, K. Mardal, A. Tveito, Simula Research Laboratory, Lysaker, Norway

Computing the Electrical Activity in the HeartThis book describes mathematical models and numerical techniques for simulating the electrical activity in the heart. The book gives an introduction to the most important models of the field, followed by a detailed description of numerical techniques for the models. The results presented in the book will be of particular interest to researchers in bioengineering and computational biology, who face the challenge of solving these complex mathematical models efficiently. The book will also serve as a valuable introduction to a new and exciting field for computational scientists and applied mathemati-cians.

2006. XII, 318 p. 99 illus., 18 in color. (Monographs in Computational Science and Engineering, Volume 1) HardcoverISBN 978-3-540-33432-3 7 $89.95Sale price 7 $59.50

J. Weickert, Saarland University, Saarbrücken, Germany; H. Hagen, Technical University of Kaiser-slautern, Germany (Eds.)

Visualization and Processing of Tensor FieldsFrom the reviews 7 “This timely Springer mono-graph collects a total of 25 survey and research articles on the analysis, processing, and visual-ization of tensor fields, an area with increasing impact and visibility in contemporary imaging and medical image analysis. Compared with many existing volumes of similar styles or missions, this collection has been carefully edited to yield a smooth and continuous flow of topics and tech-niques. The categorization into five self-contained parts has been enormously helpful for a generic reader to attain an organic view of the entire dynamic field. This volume will be an invaluable research tool or information source for all readers who are interested in tensor processing and visu-alization, including, e.g., image processing experts, graphic and visualization engineers, medical imaging scientists, and radiologists, as well as graduate students who are pursuing a degree in the related research subjects.” 7 Jianhong Shen, Mathematical Reviews

2006. XV, 481 p. 264 illus., 94 in color. (Mathematics and Visualization) HardcoverISBN 978-3-540-25032-6 7 $119.00Sale price 7 $69.50

Dynamical Systems & Differential Equations

G. Aubert, Université de Nice Sophia-Antipolis, Nice, France; P. Kornprobst, INRIA, Sophia Antipolis, France

Mathematical Problems in Image ProcessingPartial Differential Equations and the Calculus of Variations

From the reviews 7 “This book is devoted to a detailed presentation of several aspects of math-ematical problems in image processing . . . The authors have substantially contributed to many aspects of their subject . . . The level of the book is advanced, and the to some extent self-contained . . . This book will certainly interest both math-ematicians (some interesting, still open theoretical questions here are highlighted) and researchers in computer vision.” 7 Mathematical Reviews

2nd ed. 2006. XXXII, 377 p. 100 illus. (Applied Math-ematical Sciences, Volume 147) HardcoverISBN 978-0-387-32200-1 7 $69.95Sale price 7 $49.50

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Dynamical Systems & Differential Equation To Order: visit your local participating bookstore (see p. 1)

G. H. Choe, Korean Advanced Institute of Science and Technology, Daejeon, Republic of Korea

Computational Ergodic TheoryFrom the reviews 7 “This substantial book contains a basic course in ergodic theory and related ideas … . In particular the results presented here are developed rigorously and often proved … . The novel feature is that essentially all the results are illustrated with well-chosen examples and attractive pictures and graphs. … this book is highly recommended. It does a uniquely good job of explaining what the statements in ergodic theory mean numerically when applied to simple examples.” 7 Thomas Ward, Zentralblatt MATH, Vol. 1064, 2005

2005. XIX, 453 p. 250 illus. (Algorithms and Compu-tation in Mathematics, Volume 13) HardcoverISBN 978-3-540-23121-9 7 $89.95Sale price 7 $59.50

P. Cull, M. Flahive, Oregon State University, Corvallis, OR, USA; R. Robson, Eduworks, Corvallis, OR, USA

Difference EquationsFrom Rabbits to Chaos

From the reviews 7 “The book under review is written for advanced undergraduate majors. … This book is well written and easy to read, with a large number of exercises … . Difference equations: from rabbits to chaos is a good text for those who want to teach an introductory course in recurrences from a collection of various classical points of view. … anyone interested in difference equations … will want Cull, Flahive, and Robson as a reference because of its interesting and unique collection of topics.” 7 Shandelle M. Henson, Mathematical Reviews, 2006

2005. XIV, 394 p. 16 illus. (Undergraduate Texts in Mathematics) HardcoverISBN 978-0-387-23233-1 7 $89.95Sale price 7 $49.50

F. Dumortier, Hasselt University, Diepenbeek, Belgium; J. Llibre, J. C. Artés, Universitat Autònoma de Barcelona, Bellaterra, Spain

Qualitative Theory of Planar Differential SystemsFrom the reviews 7 “Qualitative Theory of Planar Differential Systems is a graduate-level introduction to systems of polynomial autonomous differential equations in two real variables. … This text treats the basic results of the qualitative theory with competence and clarity. … the material of the text is well-integrated and readily accessible to graduate students or especially capable advanced

undergraduates.” 7 William J. Satzer, MathDL, December, 2006

2006. XVI, 302 p. 123 illus. (Universitext) SoftcoverISBN 978-3-540-32893-3 7 $49.95Sale price 7 $39.50

S. Elaydi, Trinity University, San Antonio, TX, USA

An Introduction to Difference EquationsFrom the reviews 7 “This is the third edition of a well-established textbook which gives a solid introduction to difference equations suitable for undergraduate students. It covers most aspects from classical results to modern topics. In compar-ison to the previous edition, more proofs, more detailed explanations, and more applications were added. … Thanks to the many additions, the book stays recent and valuable resource for students and teachers.” 7 G. Teschl, Internationale Mathema-tische Nachrichten, Issue 202, 2006

3rd ed. 2005. XXII, 546 p. 119 illus. (Undergraduate Texts in Mathematics) HardcoverISBN 978-0-387-23059-7 7 $69.95Sale price 7 $49.50

B. R. Hunt, University of Maryland, College Park, MD, USA; J. A. Kennedy, University of Delaware, Newark, DE, USA; T. Li, Michigan State University, East Lansing, MI, USA; H. E. Nusse, University of Groningen, The Netherlands (Eds.)

The Theory of Chaotic AttractorsFrom the reviews 7 “This book is a collection, from the last 40 years, of the most influential papers in the development of chaos theory. … The editors are eminent in this field … . Their selection of papers is excellent … . it is a book for mathematics graduates specializing in non-linear dynamics. … is a well-presented and well-deserved tribute to the life’s work of Professor Yorke … . might well be as that benchmark that math-ematicians of the future will view its publication hundreds of years from now.” 7 Dennis Morris, The Mathematical Gazette, March, 2005

2004. VI, 514 p. HardcoverISBN 978-0-387-40349-6 7 $79.95Sale price 7 $49.50

J. Jost, Max-Planck-Institute for Mathematics in the Sciences, Leipzig, Germany

Dynamical SystemsExamples of Complex Behaviour

From the reviews 7 “This book provides a survey of various topics of dynamical systems.

Applications of both the concepts and the results are presented. The author takes the opportunity to explain the underlying fundamental mathematical concepts involved in the results. ... The book is written in a careful style. Most of the results are given without proof, though the necessary refer-ences for them are included. Many of the results are illustrated through carefully chosen examples.” 7 Sergio Plaza, Mathematical Reviews

2005. VIII, 189 p. 65 illus., 15 in color. (Universitext) SoftcoverISBN 978-3-540-22908-7 7 $49.95Sale price 7 $39.50

J. D. Logan, University of Nebraska, Lincoln, NE, USA

A First Course in Differential EquationsFrom the reviews 7 “Logan has produced a well-crafted text, densely packed with interesting applications from diverse fields. The chapters cover (ordinary) differential equations, analytical solutions and approximations, second-order differ-ential equations, Laplace transforms, linear and nonlinear systems. The material is well presented and introduces new concepts … . The text will certainly provide a good mental workout.” 7 Christopher Howls, The Times Higher Education Supplement, November, 2006

2006. XV, 292 p. 55 illus. (Undergraduate Texts in Mathematics) HardcoverISBN 978-0-387-25963-5 7 $79.95Sale price 7 $49.50

C. G. Small, University of Waterloo, Canada

Functional Equations and How to Solve ThemFrom the reviews 7 “The book under review deals mostly with real-valued functions of a single real variable, but also looks at functions with complex arguments and functions defined on the natural numbers. … The material … consists of good exposition, illuminating examples, and excellent problems, many from math competitions. … this book serves as an excellent introduction to more comprehensive works such as Aczél’s Lectures on Functional Equations and Their Applications. … In summary … a valuable contribution to the literature of problem solving.” 7 Henry Ricardo, MathDL, April, 2007

2007. XII, 129 p. 14 illus. (Problem Books in Math-ematics) HardcoverISBN 978-0-387-34534-5 7 $69.95Sale price 7 $49.50

Geometry & TopologySee full descriptions at springer.com/sales

15

F. Verhulst, University of Utrecht, The Netherlands

Methods and Applications of Singular PerturbationsBoundary Layers and Multiple Timescale Dynamics

From the reviews 7 “Dutch applied math-ematicians have contributed extensively to the development of singular perturbations theory and practice. … the new book by Verhulst also empha-sizes averaging and a fine collection of challenging examples. … Readers … won’t be surprised to find a clear and lively presentation with enlightening historical commentary. … This year, I’m enthusi-astic to use this new text in my singular perturba-tions course … .” 7 Robert O’Malley, Jr., SIAM Review, Vol. 48 (1), 2006

2005. XVI, 328 p. (Texts in Applied Mathematics, Volume 50) HardcoverISBN 978-0-387-22966-9 7 $69.95Sale price 7 $49.50

E. C. Waymire, Oregon State University, Corvallis, OR, USA; J. Duan, Illinois Institute of Technology Chicago, IL, USA (Eds.)

Probability and Partial Differential Equations in Modern Applied MathematicsProbability and Partial Differential Equations in Modern Applied Mathematics is devoted to the role of probabilistic methods in modern applied mathematics from the perspectives of both a tool for analysis and as a tool in modeling. This volume will be useful to researchers and graduate students interested in probabilistic methods, dynamical systems approaches and numerical analysis for mathematical modeling in the sciences and engineering.

2005. X, 272 p. 22 illus. (The IMA Volumes in Math-ematics and its Applications, Volume 140) HardcoverISBN 978-0-387-25879-9 7 $89.95Sale price 7 $49.50

Geometry & Topology

M. A. Akivis, Jerusalem Institute of Technology, Machon Lev, Jerusalem, Israel; V. V. Goldberg, New Jersey Institute of Technology, Newark, NJ, USA

Differential Geometry of Varieties with Degenerate Gauss MapsFrom the reviews 7 “The study of the Gauss map of algebraic varieties falls into the fields of the so-called projective-differential geometry. … the authors show their mastery of the Cartan method, stating and proving the most interesting results. … this book has a very ample and generally accurate bibliography … . This provides an excellent refer-ence for the interested researcher. … this book is recommended for people interested in differential geometry and in projective differential geometry, wishing to learn the methods of E. Cartan.” 7 Emilia Mezzetti, SIAM Review, Vol. 48 (1), 2006

2004. XXI, 255 p. 16 illus. (CMS Books in Math-ematics) HardcoverISBN 978-0-387-40463-9 7 $89.95Sale price 7 $39.50

J. W. Anderson, University of Southampton, UK

Hyperbolic Geometry

2nd ed. 2005. Corr. 2nd printing 2005. XII, 276 p. 21 illus. (Springer Undergraduate Mathematics Series) SoftcoverISBN 978-1-85233-934-0 7 $39.95Sale price 7 $29.50

R. Bix, The University of Michigan, Flint, MI, USA

Conics and CubicsA Concrete Introduction to Algebraic Curves

From the reviews 7 “Algebraic geometry is a hard subject. ... But could it, or at least some of it, be presented, at the undergraduate level? This book attempts to do that. ... At the beginning of each of the four chapters, the author provides a synopsis of the historical development of the subject. And within each section many exercises are provided for further discussion and illumination. ... And the author manages to keep things concrete. So, the end result is a book which is accessible …” 7 Donald L. Vestal, MathDL – online, October, 2006

2nd ed. 2006. VIII, 352 p. 151 illus. (Undergraduate Texts in Mathematics) HardcoverISBN 978-0-387-31802-8 7 $59.95Sale price 7 $39.50

V. Boltyanskii, CIMAT, Guanajuato, Mexico; V. Efremovich

Intuitive Combinatorial TopologyFrom the reviews 7 “The discussion is clear and it is all superbly illustrated by 200 figures. … Overall I am happy to recommend this book as giving a good introduction to topology of the space we live in through combinatorial topology with some interesting excursions to some of the wild places.” 7 David Gould, New Zealand Mathe-matical Society Newsletter, Issue 88, 2003

2001. XII, 141 p. 210 illus. (Universitext) HardcoverISBN 978-0-387-95114-0 7 $59.95Sale price 7 $34.50

R. Bott, Harvard University, Cambridge, MA, USA; L. W. Tu, Tufts University, Medford, MA, USA

Differential Forms in Algebraic TopologyFrom the reviews 7 “This book is an excellent presentation of algebraic topology via differential forms. The first chapter contains the de Rham theory, with stress on computability. Thus, the Mayer-Vietoris technique plays an important role in the exposition. The force of this technique is demonstrated by the fact that the authors at the end of this chapter arrive at a really comprehensive exposition of PoincarÃ© duality, the Euler and Thom classes and the Thom isomorphism...” 7 Mathematical Reviews

1st ed. 1982. Corr. 3rd printing 1995. XIV, 331 p. 92 illus. (Graduate Texts in Mathematics, Volume 82) HardcoverISBN 978-0-387-90613-3 7 $69.95Sale price 7 $39.50

P. Brass, City College, CUNY, New York, USA; W. O. Moser, McGill University, Montreal, QC, Canada; J. Pach, Courant Institute, NYU, New York, USA

Research Problems in Discrete GeometryFrom the reviews 7 “This book collects hundreds of questions and open conjectures in the field, and discusses partial results … . The book very efficiently and clearly describes the relevant definitions … . The book is very well annotated, with a compre-hensive bibliography after every set of problems … . Brass, Moser, and Pach have done a very nice job in putting this collection together … an excellent addi-tion to any library or math department lounge.” 7 Daren Glass, MathDL – Online, October, 2006

1st ed. 2005. Corr. 2nd printing 2006. XII, 499 p. 116 illus. HardcoverISBN 978-0-387-23815-9 7 $69.95Sale price 7 $49.50

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Geometry & Topology To Order: visit your local participating bookstore (see p. 1)

G. E. Bredon, Rutgers University, New Brunswick, NJ, USA

Topology and GeometryFrom the reviews 7 “An interesting and original graduate text in topology and geometry. The topics covered include . . . general topology, smooth manifolds, homology and homotopy groups, duality, cohomology and products . . . a good lecturer can use this text to create a fine course at the appropriate level . . . There are various innova-tive things, which are accessible but not tradition-ally covered. A beginning graduate student can use this text to learn a great deal of mathematics” 7 Mathematical Reviews

1st ed. 1993. Corr. 3rd printing 1997. XIV, 557 p. 85 illus. (Graduate Texts in Mathematics, Volume 139) HardcoverISBN 978-0-387-97926-7 7 $74.95Sale price 7 $49.50

D. A. Cox, Amherst College, Amherst, MA, USA; J. Little, College of the Holy Cross, Worcester, MA, USA; D. O‘Shea, Mount Holyoke College, South Hadley, MA, USA

Using Algebraic GeometryIn recent years, the discovery of new algorithms for dealing with polynomial equations, coupled with their implementation on computers, has sparked a minor revolution in the study and practice of algebraic geometry. This book illustrates the many applications of algebraic geometry, and highlights the most recent applications of Groebner bases.

2nd ed. 2005. X, 558 p. 24 illus. (Graduate Texts in Mathematics, Volume 185) SoftcoverISBN 978-0-387-20733-9 7 $49.95Sale price 7 $39.50

H. Coxeter, University of Toronto, ON, Canada

Projective GeometryFrom the reviews 7 “This is an elementary introduction to projective geometry based on the intuitive notions of perspectivity and projectivity and, formally, on axioms essentially the same as the classical ones of Vebber and Young...This book is an excellent introduction.” 7 T. G. Ostrom, Zentralblatt

2nd ed. 1974. 2nd printing 2003. XII, 162 p. SoftcoverISBN 978-0-387-40623-7 7 $34.95Sale price 7 $24.50

O. Debarre, IRMA - Universite Louis Pasteur - CNRS, Strasbourg, France

Higher-Dimensional Algebraic GeometryFrom the reviews 7 “The book is based on a course that the author taught at Harvard Univer-sity. Concentrating on rational curves was a good idea, since their theory is not treated to the same extent in other introductory books … . The text is well-written and user-friendly, and contains lots of examples; it is a further good feature that there are exercises at the end of each chapter. … The book provides a good introduction to higher-dimen-sional algebraic geometry for graduate students and other interested mathematicians.” 7 Gabor Megyesi, Bulletin of the London Mathematical Society, Issue 35, 2003

2001. XIII, 233 p. 16 illus. (Universitext) HardcoverISBN 978-0-387-95227-7 7 $64.95Sale price 7 $39.50

M. Demazure, Paris, France

Bifurcations and CatastrophesGeometry of Solutions to Nonlinear Problems

From the reviews 7 “This book gives an intro-duction to the basic ideas in dynamical systems and catastrophe and bifurcation theory. It starts with the geometrical concepts which are necessary for the rest of the book. ... This book can be used as a textbook for a first course on dynamical systems and bifurcation theory.” 7 Joan Torregrosa, Mathematical Reviews

2000. VIII, 302 p. 56 illus. (Universitext) SoftcoverISBN 978-3-540-52118-1 7 $64.95Sale price 7 $49.50

B. Eckmann, Swiss Federal Institute of Technology Zurich, Switzerland

Mathematical Survey Lectures 1943-2004This collection of survey lectures in mathematics traces the career of Beno Eckmann, whose work ranges across a broad spectrum of mathematical concepts from topology through homological algebra to group theory. One of our most influential living mathematicians, Eckmann has been associated for nearly his entire professional life with the Swiss Federal Technical University (ETH) at Zurich, as student, lecturer, professor, and professor emeritus.

2006. IX, 266 p. HardcoverISBN 978-3-540-33790-4 7 $39.95Sale price 7 $29.50

M. Elkadi, University of Nice Sophia Antipolis, France; B. Mourrain, GALAAD INRIA, Sophia Antipolis, France; R. Piene, University of Oslo, Norway (Eds.)

Algebraic Geometry and Geometric ModelingThis book spans the distance between algebraic descriptions of geometric objects and the rendering of digital geometric shapes based on algebraic models. These contrasting points of view inspire a thorough analysis of the key challenges and how they are met. The articles focus on important classes of problems: impliciti-zation, classification, and intersection. Combining illustrative graphics, computations and review articles this book helps the reader gain a firm practical grasp of these subjects.

2006. X, 252 p. 52 illus., 27 in color. (Mathematics and Visualization) HardcoverISBN 978-3-540-33274-9 7 $99.00Sale price 7 $69.50

G. K. Francis, University of Illinois at Urbana-Cham-paign, Urbana, IL, USA

A Topological PicturebookFrom the reviews 7 “I was pleasantly surprised when I opened the book. … this is really a much richer book. Indeed, the approach it offers to drawing can have a significant impact on how we teach and think about mathematics. … If you are good at visualization and illustration, this book can help you become better yet. … this will give you concrete and specific suggestions for devel-oping your skills. If you just appreciate skillful drawing and illustration, this book deserves a look.” 7 William J. Satzer, MathDL, December, 2006

1st ed 1987. 2nd printing 2007. XVI, 200 p. 91 illus., 4 in color. SoftcoverISBN 978-0-387-34542-0 7 $39.95Sale price 7 $29.50

Geometry & TopologySee full descriptions at springer.com/sales

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R. Fritsch, G. Fritsch, Ludwig-Maximilians-Universität München, Germany

The Four-Color TheoremHistory, Topological Foundations, and Idea of Proof

This book discusses a famous problem that helped to define the field now known as topology: What is the minimum number of colors required to print a map so that no two adjoining countries have the same color? This problem remained unsolved until the 1950s, when it was finally cracked using a computer. This book discusses the history and mathematics of the problem, as well as the philosophical debate which ensued, regarding the validity of computer generated proofs.


D. Goldschmidt, IDA Center for Communications Research, Princeton, NJ, USA

Algebraic Functions and Projective CurvesFrom the reviews 7 “This is a very nice algebraic introduction to the theory of algebraic curves (no geometry) with full, clear and simple proofs. It should be very useful for workers in coding theory.” 7 Edoardo Ballico, Zentralblatt MATH, Vol. 1034, 2004

2003. XVI, 179 p. (Graduate Texts in Mathematics, Volume 215) HardcoverISBN 978-0-387-95432-5 7 $54.95Sale price 7 $39.50

B. Grünbaum, University of Washington, Seattle, WA, USA; G. M. Ziegler, Technische Universitat, Berlin, Germany (Ed.)

Convex PolytopesFrom the reviews 7 “The original book of Grünbaum has provided the central reference for work in this active area of mathematics for the past 35 years...I first consulted this book as a graduate student in 1967; yet, even today, I am surprised again and again by what I find there. It is an amazingly complete reference for work on this subject up to that time and continues to be a major influence on research to this day.” 7 Louis J. Billera, Cornell University

2nd ed. 2003. XVI, 466 p. 162 illus. (Graduate Texts in Mathematics, Volume 221) SoftcoverISBN 978-0-387-40409-7 7 $49.95Sale price 7 $34.50

V. W. Guillemin, Massachusetts Institute of Technology, Cambridge, MA, USA; S. Sternberg, Harvard University, Cambridge, MA, USA; J. Brüning, Humboldt-Universität Berlin, Germany (Ed.)

Supersymmetry and Equivariant de Rham TheoryFrom the reviews 7 “The authors are very generous to the reader, and explain all the basics in a very clear and efficient manner. The under-standing is enhanced by appealing to concepts which developed after Cartan’s seminal work, which also help to place things in a broader context. ... I learned a lot from this book, which is rich in new ideas. I liked the style and the respect the authors have for the readers. I also appreciated very much the bibliographical and historical comments at the end of each chapter. To conclude, I believe this book is a must have for any mathematician/physicist remotely interested in this subject.” 7 Mathema-tical Reviews

1999. XXIII, 228 p. HardcoverISBN 978-3-540-64797-3 7 $104.00Sale price 7 $59.50

R. Hartshorne, University of California, Berkeley, CA, USA

Algebraic GeometryFrom the reviews 7 “Enables the reader to make the drastic transition between the basic, intuitive questions about affine and projective varieties with which the subject begins, and the elaborate general methodology of schemes and cohomology employed currently to answer these questions.” 7 Mathematical Reviews

1st ed. 1977. Corr. 8th printing 1997. 25 illus. (Grad-uate Texts in Mathematics, Volume 52) HardcoverISBN 978-0-387-90244-9 7 $69.95Sale price 7 $49.50

S. Lang, Yale University, New Haven, CT, USA; G. Murrow, Ossining, NY, USA

GeometryAt last: geometry in an exemplary, accessible and attractive form! The authors emphasise both the intellectually stimulating parts of geometry and routine arguments or computations in concrete or classical cases, as well as practical and physical applications. Altogether, the text presents a coherent high school curriculum for the geometry course, naturally backed by numerous examples and exercises.

2nd ed. 1988. Corr. 6th printing 2000. 577 illus. HardcoverISBN 978-0-387-96654-0 7 $44.95Sale price 7 $34.50

J. M. Lee, University of Washington, Seattle, WA, USA

Introduction to Topological ManifoldsFrom the reviews 7 “This book is an introduc-tion to manifolds on the beginning graduate level. It provides a readable text allowing every mathematics student to get a good knowledge of manifolds in the same way that most students come to know real numbers, Euclidean spaces, groups, etc. It starts by showing the role manifolds play in nearly every major branch of mathematics. The book has 13 chapters and can be divided into five major sections. ... The book gives an ample opportunity to the reader to learn the subject by working out a large number of examples, exercises and problems. The latter are collected at the end of each chapter.” 7 B.N. Apanasov, Mathematical Reviews

2000. XVII, 385 p. 194 illus. (Graduate Texts in Math-ematics, Volume 202) SoftcoverISBN 978-0-387-95026-6 7 $49.95Sale price 7 $39.50

J. M. Lee, University of Washington, Seattle, WA, USA

Introduction to Smooth ManifoldsThis book is an introductory graduate-level textbook on the theory of smooth manifolds, for students who already have a solid acquaintance with general topology, the fundamental group, and covering spaces, as well as basic undergrad-uate linear algebra and real analysis. It is a natural sequel to the author’s last book, Introduction to Topological Manifolds (2000).

2003. XVII, 628 p. 157 illus. (Graduate Texts in Math-ematics, Volume 218) SoftcoverISBN 978-0-387-95448-6 7 $59.95Sale price 7 $39.50

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Geometry & Topology To Order: visit your local participating bookstore (see p. 1)

C. Maclachlan, University of Aberdeen, UK; A. W. Reid, University of Texas at Austin, Austin, TX, USA

The Arithmetic of Hyperbolic 3-ManifoldsFrom the reviews 7 “In this book Machlachlan and Reid give a comprehensive treatment of hyperbolic 3-manifolds and Kleinian groups from the viewpoint of algebraic number theory. … Throughout the book, Machlachlan and Reid use examples to motivate and illustrate the ideas they develop. … This book is a welcome addition to the literature on Kleinian groups and hyperbolic geometry. It is both an accessible introduction to the number theoretic side of the field and a conve-nient source of reference material for the expert.” 7 J. R. Parker, Proceedings of the Edinburgh Mathematical Society, Issue 48, 2005

2003. XIII, 463 p. 57 illus. (Graduate Texts in Math-ematics, Volume 219) HardcoverISBN 978-0-387-98386-8 7 $69.95Sale price 7 $49.50

B. Mandelbrot, Yale University, Yorktown Heights, NY, USA

Gaussian Self-Affinity and FractalsGlobality, The Earth, 1/f Noise, and R/S

From the reviews 7 “Written in Mandelbrot’s unique, thought-provoking style, these papers and commentaries contain a wealth of ideas which will appeal to mathematicians, statisticians, scien-tists and economists alike. It is a book both for dipping into and for detailed study, making readily accessible seminal papers which contain ideas that are as relevant now as when first published.” 7 K. Falconer, Proceedings of the Edinburgh Mathematical Society, Vol. 48, 2005

2002. IX, 654 p. 129 illus. HardcoverISBN 978-0-387-98993-8 7 $79.95Sale price 7 $39.50

P. Petersen, University of California, Los Angeles, CA, USA

Riemannian GeometryFrom the reviews 7 “A nice introduction to Riemannian geometry, containing basic theory as well as several advanced topics.” 7 European Mathematical Society

2nd ed. 2006. XVI, 408 p. 59 illus. (Graduate Texts in Mathematics, Volume 171) HardcoverISBN 978-0-387-29246-5 7 $59.95Sale price 7 $39.50

J. Ratcliffe, Vanderbilt University, Nashville, TN, USA

Foundations of Hyperbolic ManifoldsFrom the reviews 7 “A detailed and extensive study of geometric manifolds, esp. of hyperbolic ones, is preceded by an expose of foundations of non-Euclidean spaces, of their models and of related groups of transformations.” 7 A. Szybiak, Zentralblatt

2nd ed. 2006. XII, 783 p. 170 illus. (Graduate Texts in Mathematics, Volume 149) HardcoverISBN 978-0-387-33197-3 7 $69.95Sale price 7 $49.50

D. Schattschneider, Moravian College, Bethlehem, PA, USA; M. Emmer, University of Rome „La Sapi-enza“, Rome, Italy (Eds.)

M.C.Escher‘s LegacyA Centennial Celebration

From the reviews 7 “...The book is lavishly illus-trated with more than eighty of Escher‘s work on show and, to indicate the extent to which he was influenced by mathematical ideas, one only has to consider the titles given to some of the works ...The whole book is a visual delight. ... In summary, the book is entirely challenging in the sense that it provides a multifaceted exploration of the work of a man whose life was a continuum or artistic and mathematical achievement.” 7 P.N.Ruane, The Mathematical Gazette March 2005

1st ed. 2003. 2nd printing 2005. XVI, 458 p. 520 illus., 20 in color. With CD-ROM. SoftcoverISBN 978-3-540-20100-7 7 $39.95Sale price 7 $29.50

V. Shpilrain, City College of New York, NY, USA; A. A. Mikhalev, Moscow State University, Moscow, Russia; J. Yu, University of Hong Kong, China

Combinatorial MethodsFree Groups, Polynomials, and Free Algebras

From the reviews 7 “The book consists of three parts: groups, polynomial algebras and free Nielsen-Schreier algebras. … The book contains very interesting material to which the authors have made a valuable contribution. The book includes many open and very important problems. … The exposition of the material is made with care. So the book could be recommended for students even as a textbook.” 7 Vyacheslav A. Artamonov, Zentralblatt MATH, Vol. 1039 (8), 2004

2004. XXIII, 317 p. (CMS Books in Mathematics) HardcoverISBN 978-0-387-40562-9 7 $89.95Sale price 7 $49.50

W. Vasconcelos, Rutgers University, New Brunswick, NJ, USA

Computational Methods in Commutative Algebra and Algebraic GeometryFrom the reviews 7“... Many parts of the book can be read by anyone with a basic abstract algebra course. It seems to the reviewer that it was one of the author‘s intentions to equip students who are interested in computational problems with the necessary algebraic background in pure mathematics and to encourage them to do further research in commutative algebra and algebraic geometry. But researchers will also benefit from this exposition. They will find an up-to-date description of the related research. ... The reviewer recommends the book to anybody who is interested in commutative algebra and algebraic geometry and its computational aspects.” 7 P.Schenzel, Mathematical Reviews 2002

1st ed. 1998. Corr. 2nd printing 2004. XIII, 408 p. (Algorithms and Computation in Mathematics, Volume 2) SoftcoverISBN 978-3-540-21311-6 7 $72.95Sale price 7 $49.50

F. W. Warner, University of Pennsylvania, Philadel-phia, PA, USA

Foundations of Differentiable Manifolds and Lie GroupsFoundations of Differentiable Manifolds and Lie Groups gives a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. It includes differentiable manifolds, tensors and differentiable forms. Lie groups and homogenous spaces, integration on manifolds, and in addition provides a proof of the de Rham theorem via sheaf cohomology theory, and develops the local theory of elliptic operators culminating in a proof of the Hodge theorem. Those interested in any of the diverse areas of mathematics requiring the notion of a differentiable manifold will find this beginning graduate-level text extremely useful.

1st ed. 1971. 2nd printing 1983. 292 p. 570 illus. (Graduate Texts in Mathematics, Volume 94) Hard-coverISBN 978-0-387-90894-6 7 $69.95Sale price 7 $49.50

Mathematical BiologySee full descriptions at springer.com/sales

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Mathematical Biology

N. F. Britton, University of Bath, UK

Essential Mathematical BiologyFrom the reviews 7 “This excellent monograph provides a very readable introduction to the most important aspects of mathematical biology. … The book contains numerous exercises, with hints for the solutions, a guide for further studies, and interesting historical comments. An index helps in finding the many concepts and equations intro-duced in the monograph. This is a most welcome addition to the literature.” 7 Jean Mawhin, Bulletin of the Belgian Mathematical Society, Vol. 12 (1), 2005

2005. XV, 335 p. 92 illus. (Springer Undergraduate Mathematics Series) SoftcoverISBN 978-1-85233-536-6 7 $39.95Sale price 7 $29.50

F. C. Hoppensteadt, Arizona State University, Tempe, AZ, USA; C. S. Peskin, University of New York, NY, USA

Modeling and Simulation in Medicine and the Life SciencesFrom the reviews 7 “This is an introductory book on mathematical modeling in the bio-sciences. It is written for mathematicians as well as for life scientists. Simple models are presented, and previous knowledge of biology is not required for understanding the book. All the essential biological background is given in the text, while basic mathematical knowledge is sufficient for reading a large part of the book. In each chapter, the material is organized in increasing order of complexity followed by exercises. Some of the exercises deal with the material of that chapter, while others are projects that extend the preceding material. Many chapters contain sections with suggestions for computing projects. Simulations are done in Matlab and computer code is included in the text....” 7 Miljenko Marusic, Mathema-tical Reviews

2nd ed. 2001. Corr. 2nd printing 2004. XIV, 354 p. 71 illus. (Texts in Applied Mathematics, Volume 10) HardcoverISBN 978-0-387-95072-3 7 $69.95Sale price 7 $39.50

J. D. Murray, University of Washington, Seattle, WA, USA

Mathematical BiologyI. An Introduction

From the reviews 7 “Mathematical Biology would be eminently suitable as a text for a final year undergraduate or postgraduate course in mathematical biology … . It is also a good source of examples for courses in mathematical methods … . Mathematical Biology provides a good way into the field and a useful reference for those of us already there. It may attract more mathematicians to work in biology by showing them that there is real work to be done.” 7 Peter Saunders, The Mathematical Gazette, Vol. 90 (518), 2006

3rd ed. 2002. Corr. 2nd printing 2004. XXIII, 551 p. 164 illus. (Interdisciplinary Applied Mathematics, Volume 17) HardcoverISBN 978-0-387-95223-9 7 $59.95Sale price 7 $44.50

J. Murray, University of Washington, Seattle, WA, USA

Mathematical Biology IISpatial Models and Biomedical Applications

3rd ed. 2003. Corr. 2nd printing 2004. XXV, 811 p. 296 illus. (Interdisciplinary Applied Mathematics, Volume 18) HardcoverISBN 978-0-387-95228-4 7 $79.95Sale price 7 $59.50

D. Wodarz, University of California, Irvine, CA, USA

Killer Cell DynamicsMathematical and Computational Approaches to Immunology

This book reviews how mathematical and computational approaches can be useful to help us understand how killer T-cell responses work to fight viral infections. It also demonstrates, in a writing style that exemplifies the point, that such mathematical and computational approaches are most valuable when coupled with experimental work through interdisciplinary collaborations. Designed to be useful to immunoligists and viroligists without extensive computational background, the book covers a broad variety of topics.

2007. XIV, 226 p. 74 illus. (Interdisciplinary Applied Mathematics, Volume 32) HardcoverISBN 978-0-387-30893-7 7 $79.95Sale price 7 $59.50

Mathematical, General

A. Bolibruch, Steklov Math. Inst., Moscow, Russia; Y. Osipov, Russ.Acad.Sc., Moscow, Russia; Y. Sinai, Princeton Univ., USA (Eds.)

Mathematical Events of the Twentieth CenturyFrom the reviews 7 “... This is, obviously, a very cursory look at a collection with a great deal of information and many fascinating features, math-ematical and nonmathematical, that often make one wish for more. ...” 7 Richard Beals, SIAM Review Vol. 48, Issue 3, p. 596-600, 2006

2006. VIII, 545 p. 96 illus. HardcoverISBN 978-3-540-23235-3 7 $129.00Sale price 7 $79.50

D. S. Bridges, L. S. Vita, University of Canterbury, Christchurch, New Zealand

Techniques of Constructive AnalysisThis book is an introduction to constructive mathematics with an emphasis on techniques and results obtained in the last twenty years. The text covers fundamental theory of the real line and metric spaces, focusing on locatedness in normed spaces and with associated results about operators and their adjoints on a Hilbert space. No background in intuitionistic logic or constructive analysis is needed in order to read the book, but some familiarity with the classical theories of metric, normed and Hilbert spaces is necessary.

2006. XVI, 216 p. 10 illus. (Universitext) SoftcoverISBN 978-0-387-33646-6 7 $49.95Sale price 7 $39.50

U. Daepp, P. Gorkin, Bucknell University, Lewisburg, PA, USA

Reading, Writing, and ProvingA Closer Look at Mathematics

From the reviews 7 “The book is intended for undergraduate students beginning their mathemat-ical career or attending their first course in calculus. … Throughout the book … students are encouraged to 1) learn to understand the problem, 2) devise a plan to solve the problem, 3) carry out that plan, and 4) look back and check what the results told them. This concept is very valuable. … The book is written in an informal way, which will please the beginner and not offend the more experienced reader.” 7 EMS Newsletter, December, 2005

2003. 408 p. 49 illus. (Undergraduate Texts in Math-ematics) HardcoverISBN 978-0-387-00834-9 7 $59.95Sale price 7 $39.50

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Mathematics, General To Order: visit your local participating bookstore (see p. 1)

A. I. Dale, University of Natal, Durban, South Africa

Most Honourable RemembranceThe Life and Work of Thomas Bayes

From the reviews 7 “Interesting and useful as all this will be for anyone interested in knowing more about Bayes, this is just part of the riches contained in this book . . . Beyond doubt this book is a work of the highest quality in terms of the scholarship it displays, and should be regarded as a must for every mathematical library.” 7 MAA Online

2003. XXIII, 667 p. 23 illus. (Sources and Studies in the History of Mathematics and Physical Sciences) HardcoverISBN 978-0-387-00499-0 7 $119.00Sale price 7 $59.50

P. Dyke, University of Plymouth, UK

Managing Mathematical Projects - with Success!From the reviews 7 “The text does discuss fully the supervision and assessment of both pure and applied mathematics projects, and, for me person-ally, the level of detail on this aspect has been the most useful feature of the book. … Academic staff will certainly find this book relevant. For depart-ments considering introducing final year projects based on mathematics, Managing mathematical projects gives invaluable guidelines. For depart-ments already running such projects, the book is both useful and stimulating.” 7 David Hood, The Mathematical Gazette, Vol. 91 (520), 2007

2004. XIX, 266 p. 59 illus. SoftcoverISBN 978-1-85233-736-0 7 $29.95Sale price 7 $24.50

H. Ebbinghaus, J. Flum, University of Freiburg, Germany; W. Thomas, University of Kiel, Germany

Mathematical LogicFrom the reviews 7 “...the book remains my text of choice for this type of material, and I highly recommend it to anyone teaching a first logic course at this level.” 7 Journal of Symbolic Logic

2nd ed. 1994. Corr. 2nd printing 1996. 13 illus. (Undergraduate Texts in Mathematics) HardcoverISBN 978-0-387-94258-2 7 $69.95Sale price 7 $49.50

H. Ebbinghaus, J. Flum, University of Freiburg, Germany

Finite Model TheoryThis is a thoroughly revised and enlarged second edition that presents the main results of descriptive complexity theory, that is, the connections between axiomatizability of classes of finite structures and their complexity with respect to time and space bounds. The logics that are important in this context include fixed-point logics, transitive closure logics, and also certain infinitary languages; their model theory is studied in full detail. The book is written in such a way that the respective parts on model theory and descriptive complexity theory may be read independently.

2nd ed. 1999. 2nd printing 2006. XI, 360 p. (Springer Monographs in Mathematics) HardcoverISBN 978-3-540-28787-2 7 $79.95Sale price 7 $59.50

R. H. Enns, Simon Fraser University, Burnaby, BC, Canada; G. C. McGuire, University College of the Fraser Valley, Abbotsford, BC, Canada

Computer Algebra RecipesAn Introductory Guide to the Mathematical Models of Science

From the reviews 7 “Computer Algebra Recipes . . . is an eclectic collection of application stories together with associated Maple computer algebra worksheets or recipes. . . . The authors have designed this book to show how a computer algebra system such as Maple can be a valuable tool for computer modeling. . . . Any student who works through this text will develop a very good sense of what mathematical modeling is about. . . . This text would work well for self-study or as a source of material for projects.” 7 Bill Satzer, MathDL – Online, April, 2006

2006. X, 430 p. 110 illus. With CD-ROM. SoftcoverISBN 978-0-387-25767-9 7 $59.95Sale price 7 $44.50

M. Fiedler, J. Nedoma, Academy of Sciences, Prague, Czech Republic; J. Ramik, Silesian University, Karviná, Czech Republic; J. Rohn, K. Zimmermann, Academy of Sciences, Prague, Czech Republic

Linear Optimization Problems with Inexact DataFrom the reviews 7 “The authors have recol-lected here their results that were published in various journals, research reports and proceedings, mainly between 1994 and 2000. … This research

monograph is aimed at the audience interested in optimization, operations research, linear algebra and fuzzy sets.” 7 S. Zlobec, Mathematical Reviews, 2007


M. Georgiadou, Stuttgart, Germany

Constantin CarathéodoryMathematics and Politics in Turbulent Times

From the reviews 7 “This book is an immense labour of love. It a monument to the greatest of modern Greek mathematicians and one of the greatest mathematicians of the first half of the twentieth century. … Speaking for myself, I am glad to have read this book. It helped me under-stand the depth and influence of Carathéodory’s mathematics and provided a window onto the German mathematical establishment in the Indian summer of its greatness.” 7 Tom Körner, British Society of the History of Mathematics Bulletin, Issue no. 4, 2005

2004. XXVIII, 651 p. 87 illus. SoftcoverISBN 978-3-540-20352-0 7 $49.95Sale price 7 $39.50

S. Gindikin, Rutgers University, Piscataway, NJ, USA

Tales of Mathematicians and PhysicistsFrom the reviews 7 “This lively and entertaining book tells “tales‘‘ of Cardano, Galileo, Huygens, Pascal, Gauss.... The reasoning of the scientists discussed is modernized so as to ease the reader‘s path; thus this book is not a scholarly discus-sion of the history of science readable only by experts, but a far more valuable work: a readable introduction to the scientific work discussed and the historical context (both scientific and social) in which it took place. Addressed to a “general audience,” it deserves to have a wide one.... The author’s own lucid style and accurate presentation translated into a smoothly flowing English make this book one which many, from college student to professional, will no doubt read with pleasure and learning.” 7 Zentralblatt MATH

2nd ed. 2007. XX, 388 p. 68 illus. SoftcoverISBN 978-0-387-36026-3 7 $49.95Sale price 7 $39.50

Mathematics, GeneralSee full descriptions at springer.com/sales

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P. R. Halmos, Santa Clara University, CA, USA

Naive Set TheoryFrom the reviews 7 “...He (the author) uses the language and notation of ordinary informal math-ematics to state the basic set-theoretic facts which a beginning student of advanced mathematics needs to know. ...Because of the informal method of presentation, the book is eminently suited for use as a textbook or for self-study. The reader should derive from this volume a maximum of under-standing of the theorems of set theory and of their basic importance in the study of mathematics.” 7 Philosophy and Phenomenological Research

1974. VII, 104 p. (Undergraduate Texts in Math-ematics) HardcoverISBN 978-0-387-90092-6 7 $49.95Sale price 7 $39.50

J. W. Harris, Yale University, New Haven, CT, USA; H. Stöcker, Johann-Wolfgang-Goethe Universität, Frankfurt, Germany

Handbook of Mathematics and Computational ScienceFrom the reviews 7 “It is the best text of its type that I have come across to date - an excellent resource for anyone involved in mathematical practice up to and including degree standard (...) it is a pleasant experience to flick through it at leisure, dropping in here and there on some of the thousands of results the book holds. It is beauti-fully illustrated and set out (...) we have here a comprehensive volume whose worth will not readily fade with time (...) If you feel the need to own a mathematical reference to see you through school and university mathematics to graduation, you couldn’t do much better than to buy this one” 7 Mathematics Today

1998. XXVIII, 1028 p. 545 illus. HardcoverISBN 978-0-387-94746-4 7 $49.95Sale price 7 $39.50

R. Hersh, University of New Mexico, Albuquerque, NM, USA (Ed.)

18 Unconventional Essays on the Nature of MathematicsFrom the reviews 7 “This is not a book about foundations or formal logic. It is … about the philosophy of mathematics, but perhaps more about the human practice of mathematics. … This is a terrific collection of essays. … all of the essays give us new insight into that curious thing we do when we do mathematics.” 7 William J. Satzer, MathDL, January, 2006

2006. XXI, 326 p. 10 illus. SoftcoverISBN 978-0-387-25717-4 7 $49.95Sale price 7 $39.50

P. Hilton, State University of New York, Binghamton, NY, USA; D. Holton, University of Otago, Dunedin, New Zealand; J. Pedersen, University of Santa Clara, CA, USA

Mathematical VistasFrom a Room with Many Windows

From the reviews 7 “This trio of authors will be familiar to many … . Their new book is a sequel to the original … . Vistas contains three chapters which build on subject matter in the earlier book. … These two volumes are an impressive achieve-ment. There are many books on the market … but few of them are prepared to go into as much detail as you will encounter here. … I thoroughly recom-mend both books …” 7 Gerry Leversha, The Mathematical Gazette, Vol. 87 (509), 2003

2002. XIV, 335 p. 158 illus. (Undergraduate Texts in Mathematics) HardcoverISBN 978-0-387-95064-8 7 $59.95Sale price 7 $39.50

P. Komjáth, Eötvös Lóránd University, Budapest, Hungary; V. Totik, University of South Florida, Tampa, FL, USA

Problems and Theorems in Classical Set TheoryFrom the reviews 7 “The volume contains 1007 problems in (mostly combinatorial) set theory. As indicated by the authors, “most of classical set theory is covered, classical in the sense that independence methods are not used, but classical also in the sense that most results come from the period, say, 1920 - 1970. Many problems are also related to other fields of mathematics such as algebra, combinatorics, topology and real analysis. ... This is a welcome addition to the literature, which should be useful to students and researchers alike.” 7 Pierre Matet, Mathematical Reviews

2006. XII, 516 p. (Problem Books in Mathematics) HardcoverISBN 978-0-387-30293-5 7 $59.95Sale price 7 $44.50

D. Li, The Chinese University of Hong Kong, China; X. Sun, Shanghai University, China

Nonlinear Integer ProgrammingFrom the reviews 7 “This book addresses the topic of the general nonlinear integer programming (NLIP). The overall goal of the book is to bring the state of the art of the theoretical foundations and solution methods of NLIP to readers who are interested in optimization, operations research and computer science. This book investigates the theory and solution methodologies for the general NLIP and provides the developments of the last 30 years.

It is assumed that readers are familiar with linear integer programming and the book thus focuses on the theory and solution methodologies of NLIP.” 7 Romesh Saigal, Mathematical Reviews

2006. XXII, 440 p. 71 illus. (International Series in Operations Research & Management Science, Volume 84) HardcoverISBN 978-0-387-29503-9 7 $125.00Sale price 7 $59.50

R. Lucchetti, Politecnico di Milano, Italy

Convexity and Well-Posed ProblemsFrom the reviews 7 “In this book the author focuses on the study of convex functions and their properties under perturbations of data. In particular, he illustrates the ideas of stability and well-posedness and the connections between them. … This book is intended for graduate students and researchers especially in mathematics, physics and economics; to facilitate its use as a textbook, the author has included many exercises and examples of different levels of difficulty.” 7 Davide La Torre, Mathematical Reviews, 2006

2006. XIV, 305 p. 46 illus. (CMS Books in Math-ematics) HardcoverISBN 978-0-387-28719-5 7 $79.95Sale price 7 $49.50

D. G. Luenberger, Stanford University, CA, USA

Linear and Nonlinear ProgrammingFrom the reviews 7 “I have profitably used the book to apply constrained minimization procedures in the field of computational contact mechanics. I think it is not a secret that quite often books on mathematics are written from mathema-ticians for mathematicians. Hence it is quite hard for engineers to read and to extract valuable infor-mation from them. With this respect this book is a shining star. It presents the topics in a very precise but clear and understandable way.” 7 Giorgio Azvaris, Turin, Italy

2nd ed. 2003. 516 p. HardcoverISBN 978-1-4020-7593-3 7 $99.00Sale price 7 $59.50

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D. Marker, University of Illinois, Chicago, IL, USA

Model Theory: An IntroductionFrom the reviews 7 “This is an extremely fine graduate level textbook on model theory. There is a careful selection of topics, with a route leading to a substantial treatment of Hrushovski’s proof of the Mordell-Lang conjecture for function fields. … The exercises touch on a wealth of beautiful topics. … There is additional basic background in two appendices (on set theory and on real algebra).” 7 Dugald Macpherson, Mathematical Reviews, 2003

2002. VIII, 342 p. 2 illus. (Graduate Texts in Math-ematics, Volume 217) HardcoverISBN 978-0-387-98760-6 7 $59.95Sale price 7 $39.50

Y. Moschovakis, University of California, Los Angeles, CA, USA

Notes on Set TheoryFrom the reviews of the first edition 7 “This is a sophisticated undergraduate set theory text, brimming with mathematics, and packed with elegant proofs, historical explanations, and enlightening exercises, all presented at just the right level for a first course in set theory.” 7 Joel David Hamkins, Journal of Symbolic Logic

2nd ed. 2006. XII, 284 p. 48 illus. (Undergraduate Texts in Mathematics) SoftcoverISBN 978-0-387-28723-2 7 $49.95Sale price 7 $39.50

A. Naess, Ski, Norway

Galileo Galilei - When the World Stood StillFrom the reviews 7 “Not too many biographies of great scientists are as felicitously written as this new one … . a delightful read but … is as historically accurate as one would hope. … very adequately referenced. … The translation into english is excellent. This book brought home to me the full extent … . Anyone with an interest in the life and times of Galileo will adore this new account … . It is beautifully printed, attractively bound … . Highly recommended.” 7 Australian Physics, Vol. 42 (2), May/June, 2005

2005. VIII, 222 p. 24 illus., 21 in color. With Schutzum-schlag 135 g Bilderdruckpapier. HardcoverISBN 978-3-540-21961-3 7 $29.95Sale price 7 $19.50

P. Neittaanmaki, University of Jyvaskyla, Finland; J. Sprekels, Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany; D. Tiba, Romanian Academy, Bucharest, Romania

Optimization of Elliptic SystemsTheory and Applications

From the reviews 7 “This book gives a compre-hensive view of the optimization of systems governed by partial differential equations of elliptic type. … The book is carefully written. … The book will therefore be useful for experienced researchers as well as students willing to enter the field. One could even teach a graduate course by selecting material from the book.” 7 J. Frédéric Bonnans, Mathematical Reviews, 2006

2006. XVI, 512 p. (Springer Monographs in Math-ematics) HardcoverISBN 978-0-387-27235-1 7 $119.00Sale price 7 $69.50

P. Pedregal, Universidad de Castilla-La Mancha, Spain

Introduction to OptimizationFrom the reviews 7 “This book aims at providing undergraduate students and graduate beginners in science and engineering with a general overview of optimization theory. … The book is well written and reads easily … . Each chapter is followed by a series of exercises, and a selective bibliography …” 7 Gérard Lebourg, Mathematical Reviews, 2004

2004. 248 p. 38 illus. (Texts in Applied Mathematics, Volume 46) HardcoverISBN 978-0-387-40398-4 7 $74.95Sale price 7 $49.50

L. Rade, B. Westergren, Chalmers University, Göte-borg, Sweden

Mathematics Handbook for Science and EngineeringFrom the reviews 7 “This is the fifth edition of this mathematics handbook, a book which covers all the basic areas of mathematics, numerical analysis, prob-ability and statistics, and their various applications. … this volume may be of interest to undergraduate students or those research scientists or engineers who are allergic to modern computerized methods of doing mathematics. … The book is well produced … and will surely withstand use over many years – and the price seems reasonable for such a large book.” 7 André Hautot, Physicalia Magazine, Vol. 28 (1), 2006

5th ed. 2004. 562 p. 150 illus. HardcoverISBN 978-3-540-21141-9 7 $59.95Sale price 7 $39.50

W. Rautenberg, Freie Universität Berlin, Germany

A Concise Introduction to Mathematical LogicFrom the reviews 7 “The book’s goal is to provide three main theorems of mathematical logic … . There are exercises. The book can be useful for students and for lecturers who prepare a math-ematical logic course at a (technical) university.” 7 Alex Nabebin, Zentralblatt MATH, Vol. 1093 (19), 2006

2nd ed. 2006. XVIII, 260 p. 8 illus. (Universitext) SoftcoverISBN 978-0-387-30294-2 7 $49.95Sale price 7 $39.50

G. Schubring, University of Bielefeld, Germany

Conflicts Between Generalization, Rigor, and IntuitionNumber Concepts Underlying the Development of Analysis in 17th-19th Century France and Germany

From the reviews 7 “This is a very ambitious book, both in its methodology and in the amount of material it addresses. … The topic is of major interest, focusing on two concepts that extended the idea of what was meant by ‘number’ … . this book remains a major contribution. The rich and detailed account of textbooks and educational institutions, and the key passages and events Schubring highlights … add greatly to our under-standing of the history of mathematics in one of its most exciting periods.” 7 Judith V. Grabiner, SIAM Review, Vol. 48 (2), 2006

2005. XIV, 680 p. 22 illus. (Sources and Studies in the History of Mathematics and Physical Sciences) HardcoverISBN 978-0-387-22836-5 7 $129.00Sale price 7 $69.50

A. Stubhaug, Hyggen, Norway

NIELS HENRIK ABEL and his TimesCalled Too Soon by Flames Afar

From the reviews 7 “I first read the book in the original Norwegian and found it impossible to put down. This is a truly remarkable book that takes you inside the life and passion of a mathematician. Anybody with or without a mathematical back-ground can enjoy it.” 7 Mathematical Reviews, 2001

2000. X, 580 p. 80 illus., 17 in color. HardcoverISBN 978-3-540-66834-3 7 $62.95Sale price 7 $49.50

Mathematics, General

Number Theory & CombinatoricsSee full descriptions at springer.com/sales

23

I. Tweddle, University of Strathclyde, UK

MacLaurin‘s Physical DissertationsFrom the reviews 7 “Anyone seriously interested in Colin Maclaurin (1698-1746) or in eighteenth-century mathematical physics will welcome this book. … the assiduous reader will be rewarded in many ways, both by working through Tweddle’s introductions, notes, and appendices, and by reading Maclaurin’s own words in Tweddle’s clear and accurate translations. I find the book refreshing … we have the result of years of profound study and deliberation, careful textual analysis, and sound understanding and explana-tion of the relevant mathematics and physics.” 7 Judith V. Grabiner, MathDL, January, 2007

2007. VIII, 224 p. (Sources and Studies in the History of Mathematics and Physical Sciences) HardcoverISBN 978-1-84628-593-6 7 $99.00Sale price 7 $69.50

A. J. Zaslavski, The Technion–Israel Institute of Tech-nology, Haifa, Israel

Turnpike Properties in the Calculus of Variations and Optimal ControlFrom the reviews 7 “This monograph is dedi-cated to the study of the turnpike theory and is based mainly on the author’s results on the subject obtained in the last twenty years. … The list of references has 112 items, 23 being papers of the author. It also contains a preface, an introduction and an index. The book addresses to mathemati-cians working in optimal control, calculus of varia-tions, mathematical economics and game theory.” 7 Constantin Zalinescu, Zentralblatt MATH, Vol. 1100 (2), 2007

2006. XXII, 395 p. (Nonconvex Optimization and Its Applications, Volume 80) HardcoverISBN 978-0-387-28155-1 7 $79.95Sale price 7 $49.50

Number Theory & Combinations

J. M. Aldous, R. J. Wilson, The Open University, Milton Keynes, UK

Graphs and ApplicationsAn Introductory Approach

Graphs and Applications is based on a highly successful Open University course. It is ideally suited for independent study. Large numbers of examples, solved problems and unsolved

exercises are included. Also includes a CD-ROM comprising a Graphs Database, and a Graphs Editor that enables students to construct and manipulate graphs.

1st ed. 2000. Corr. 3rd printing 2003. XI, 444 p. 644 illus. With CD-ROM. SoftcoverISBN 978-1-85233-259-4 7 $54.95Sale price 7 $39.50

T. M. Apostol, California Institute of Technology, Pasadena, CA, USA

Introduction to Analytic Number TheoryFrom the reviews 7 “This book is the first volume of a two-volume textbook for undergradu-ates and is indeed the crystallization of a course offered by the author at the California Institute of Technology to undergraduates without any previous knowledge of number theory. For this reason, the book starts with the most elementary properties of the natural integers. Nevertheless, the text succeeds in presenting an enormous amount of material in little more than 300 pages. The presentation is invariably lucid and the book is a real pleasure to read.” 7 Mathematical Reviews

1st ed. 1976. Corr. 5th printing 1998. 24 illus. (Under-graduate Texts in Mathematics) HardcoverISBN 978-0-387-90163-3 7 $64.95Sale price 7 $49.50

B. Bollobas, University of Memphis, TN, USA

Modern Graph TheoryFrom the reviews 7 “...This book is likely to become a classic, and it deserves to be on the shelf of everyone working in graph theory or even remotely related areas, from graduate student to active researcher.” 7 Mathematical Reviews

1st ed. 1998. Corr. 2nd printing 2002. XIV, 394 p. 114 illus. (Graduate Texts in Mathematics, Volume 184) SoftcoverISBN 978-0-387-98488-9 7 $49.95Sale price 7 $34.50

P. Cartier, I.H.E.S., Bures-sur-Yvette, France; B. Julia, LPTENS, Paris, France; P. Moussa, CEA/Saclay, Gif-sur -Yvette, France; P. Vanhove, CEA/Saclay, Gif-sur-Yvette, France (Eds.)

Frontiers in Number Theory, Physics, and Geometry IOn Random Matrices, Zeta Functions, and Dynamical Systems

This book is the result of that exciting meeting, and collects, in 2 volumes, extended versions of the lecture courses, followed by shorter texts on

special topics, of eminent mathematicians and physicists. The present volume has three parts: Random matrices, Zeta functions, Dynamical systems.

1st ed. 2005. Corr. 2nd printing 2006. XII, 640 p. 101 illus., 2 in color. HardcoverISBN 978-3-540-23189-9 7 $89.95Sale price 7 $59.50

W. A. Coppel, Canberra, ACT, Australia

Number TheoryAn Introduction to Mathematics: Part A

This two-volume book is a modern introduction to the theory of numbers, emphasizing its connections with other branches of mathematics. Part A is accessible to first-year undergraduates and deals with elementary number theory. Part B is more advanced and gives the reader an idea of the scope of mathematics today. The connecting theme is the theory of numbers. By exploring its many connections with other branches a broad picture is obtained. The book contains a treasury of proofs, several of which are gems seldom seen in number theory books.


W. A. Coppel, Canberra, ACT, Australia

Number TheoryAn Introduction to Mathematics: Part B

2006. X, 359 p. 5 illus. HardcoverISBN 978-0-387-29853-5 7 $59.95Sale price 7 $39.50

G. Cornell, University of Connecticut, Storrs, CT, USA; J. H. Silverman, Brown University, Providence, RI, USA; G. Stevens, University of Boston, MA, USA (Eds.)

Modular Forms and Fermat‘s Last TheoremThis volume contains the expanded lectures given at a conference on number theory and arithmetic geometry held at Boston University. It introduces and explains the many ideas and techniques used by Wiles, and to explain how his result can be combined with Ribets theorem and ideas of Frey and Serre to prove Fermats Last Theorem. Students and professional mathematicians alike will find this an indispensable resource.

1st ed. 1997. 3rd printing 2000. XIX, 608 p. SoftcoverISBN 978-0-387-98998-3 7 $54.95Sale price 7 $34.50

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Number Theory & Combinatorics To Order: visit your local participating bookstore (see p. 1)

R. Crandall, Center for Advanced Computation, Port-land, OR, USA; C. Pomerance, Dartmouth College, Hanover, NH, USA

Prime NumbersA Computational Perspective

From the reviews 7 “The book is an excellent resource for anyone who wants to understand these algorithms, learn how to implement them, and make them go fast. It’s also a lot of fun to read! It’s rare to say this of a math book, but open Prime Numbers to a random page and it’s hard to put down. Crandall and Pomerance have written a terrific book.” 7 Bulletin Of The Ams

2nd ed. 2005. XVI, 597 p. 4 illus. HardcoverISBN 978-0-387-25282-7 7 $69.95Sale price 7 $49.50

R. Diestel, University of Hamburg, Germany

Graph TheoryFrom the reviews 7“Graph Theory is a very well-written book, now in its third edition and the recipient of the according evolutionary benefits. It succeeds dramatically in its aims, which Diestel gives as “[providing] a reliable first introduction to graph theory that can be used for personal study or as a course text, [and] a graduate text that offers some depth in selected areas.“ ... Even the pictures and drawings are nice. This is a hell of a good book!” 7 MAA, Reviews

3rd ed. 2006. XVI, 415 p. 146 illus. (Graduate Texts in Mathematics, Volume 173) SoftcoverISBN 978-3-540-26183-4 7 $49.95Sale price 7 $39.50

G. Everest, T. Ward, University of East Anglia, Norwich, UK

An Introduction to Number TheoryFrom the reviews 7 “This number theory text is somewhat different than traditional number theory texts. The authors’ guiding principle is unique factorization and its consequences. … This is not a traditional number theory text, but one that tries to guide the reader through the begin-nings of the subject towards the modern frontiers. This is helped along by a good sized bibliography plus many problems … . it might provide an inter-esting experience when used at the graduate level.” 7 Don Redmond, Mathematical Reviews, 2006

1st ed. 2005. Corr. 2nd printing 2005. X, 302 p. 16 illus. (Graduate Texts in Mathematics, Volume 232) HardcoverISBN 978-1-85233-917-3 7 $59.95Sale price 7 $39.50

C. Godsil, University of Waterloo, ON, Canada; G. Royle, University of Western Australia, Nedlands, WA, Australia

Algebraic Graph TheoryFrom the reviews 7 “This new text is a welcome addition to the literature, being beautifully written and wide-ranging in its coverage.” 7 Mathema-tical Reviews

2001. XIX, 439 p. 120 illus. (Graduate Texts in Math-ematics, Volume 207) SoftcoverISBN 978-0-387-95220-8 7 $49.95Sale price 7 $34.50

O. Goldreich, Weizmann Institute of Science, Rehovot, Israel

Modern Cryptography, Probalistic Proofs and PseudorandomnessFrom the reviews 7 “This book is intended for a reader with some knowledge of the theory of computing. It is divided into three chapters, each a survey of one of the topics mentioned in the title. The chapters may be read independently, and are somewhat different in nature. ...The book ends with four appendices. The first summarises the probability theory, complexity theory and cryptography that is used in the body of the book. The second gives examples of randomisa-tion in algorithmic problems, complexity theory and distributed computing. The third contains two proofs, not to be found in the literature, of well-known results. The last appendix lists other surveys by the author.” 7 Simon R. Blackburn, Mathematical Reviews

1999. XV, 182 p. (Algorithms and Combinatorics, Volume 17) HardcoverISBN 978-3-540-64766-9 7 $104.00Sale price 7 $69.50

C. Goldstein, Institut de mathématiques de Jussieu, Paris, France; N. Schappacher, Université Louis Pasteur, Strasbourg, France; J. Schwermer, University of Vienna, Austria (Eds.)

The Shaping of Arithmetic after C.F. Gauss‘s Disquisitiones ArithmeticaeSince its publication, C.F. Gauss’s Disquisitiones Arithmeticae (1801) has acquired an almost mythical reputation, standing as an ideal of exposition in notation, problems and methods; as a model of organisation and theory building; and as a source of mathematical inspiration. Eighteen authors - mathematicians, historians,

philosophers - have collaborated in this volume to assess the impact of the Disquisitiones, in the two centuries since its publication.

2007. XII, 578 p. 36 illus. HardcoverISBN 978-3-540-20441-1 7 $89.95Sale price 7 $69.50

O. A. Ivanov, St. Petersburg State University, St. Petersburg, Russia

Easy as Pi?An Introduction to Higher Mathematics

This book introduces readers, with a background in some high school mathematics, to both the higher and the more fundamental developments of the basic themes of elementary mathematics. To this end, most chapters begin with a series of elementary problems, behind whose diverting formulation, more advanced mathematical ideas lie hidden. These are then made explicit and further developments are explored, broadening the readers understanding of mathematics.

1999. XVIII, 187 p. 60 illus. SoftcoverISBN 978-0-387-98521-3 7 $39.95Sale price 7 $29.50

G. A. Jones, J. M. Jones, University of Southampton, UK

Elementary Number TheoryFrom the reviews 7 “This book would make an excellent text for an undergraduate course on number theory.” 7 Mathematical Reviews

1st ed. 1998. Corr. 2nd printing 1998. XIV, 301 p. (Springer Undergraduate Mathematics Series) SoftcoverISBN 978-3-540-76197-6 7 $39.95Sale price 7 $29.50

N. Koblitz, University of Washington, Seattle, WA, USA

A Course in Number Theory and CryptographyThe purpose of this book is to introduce the reader to arithmetic topics, both ancient and modern, that have been at the center of interest in applications of number theory, particularly in cryptography. Because number theory and cryptography are fast-moving fields, this new edition contains substantial revisions and updated references.

2nd ed. 1994. X, 235 p. 6 illus. (Graduate Texts in Mathematics, Volume 114) HardcoverISBN 978-0-387-94293-3 7 $59.95Sale price 7 $39.50

Probability TheorySee full descriptions at springer.com/sales

25

S. Lang, Yale University, New Haven, CT, USA (Ed.)

Survey on Diophantine GeometrySerge Lang is well-known as a mathematician and as an author of mathematical books, some of which have become standard texts. The current volume is the first to appear of the volumes covering number theory. The book gives an accessible presentation of an area of number theory that has recently had very important successes.

1st ed 1991. Corr. 2nd printing 1997. XIII, 298 p. SoftcoverISBN 978-3-540-61223-0 7 $84.95Sale price 7 $49.50

B. A. Reed, CNRS, Paris, France; C. L. Linhares-Sales, Universidade Federale do Ceara, Foratela CE, Brasil (Eds.)

Recent Advances in Algorithmic CombinatoricsFrom the reviews 7 “This edited volume contains nine carefully written chapters in the area of combinatorics. … The book is very well written and can be read individually by research students. The volume is of definite interest for researchers in combinatorics, graph theory and theoretical computer science. This book is certainly value for money and I would highly recommend it as an essential purchase for a university library.” 7 G. Gutin, Journal of the Operational Research Society, Vol. 55 (5), 2004

2003. XIII, 351 p. 51 illus. (CMS Books in Math-ematics) HardcoverISBN 978-0-387-95434-9 7 $99.00Sale price 7 $49.50

P. Ribenboim, Queen‘s University, Kingston, ON, Canada

The Little Book of Bigger PrimesFrom the reviews 7 “Everyone has at one time or another taken an interest, however fleeting, in prime numbers . . . Ribenboim, however, is clearly a ‘prime nut,’ and this excellent, good-humored book is written for other (actually or poten-tially) incurable aficionados . . . it is a masterly presentation . . . This genially reader-friendly tour de force, by a scientist whit an encyclopedic and up-to-the-minute knowledge of the subject, is a wholly admirable addition to anyone’s bookshelf.” 7 American Scientist

2nd ed. 2004. XXIII, 350 p. SoftcoverISBN 978-0-387-20169-6 7 $54.95Sale price 7 $39.50

J. Stillwell, University of San Francisco, CA, USA

Elements of Number TheoryFrom the reviews 7 “In this carefully crafted undergraduate number theory text, Stillwell walks the reader through the main topics that belong in any introduction to number theory … but he does so in a way that highlights the beguiling nature of number theory problems and keeps their rich history alive. … This book has some additional features that will draw you to order it for your courses. … Stillwell … presents a compelling argument for studying the ancient and modern problems of number theory …” 7 Gwynneth G. H. Coogan, Mathematical Reviews, 2004

2003. XII, 254 p. 35 illus. (Undergraduate Texts in Mathematics) HardcoverISBN 978-0-387-95587-2 7 $49.95Sale price 7 $39.50

C. Zong, Institute of Mathematics, Beijing, China; J. Talbot, University of London, UK (Ed.)

Sphere PackingsFrom the reviews 7 “The merit of Zong’s book is that it covers all of the above aspects in a concise, elegant and readable form and thus gives the reader a good view of the whole area. Several of the most recent developments are also included.” 7 Peter M. Gruber, Mathematical Reviews

1999. XIII, 241 p. 32 illus. (Universitext) HardcoverISBN 978-0-387-98794-1 7 $59.95Sale price 7 $34.50

Probability Theory

Z. Brzezniak, University of Hull, UK; T. Zastawniak, University of York, UK

Basic Stochastic ProcessesA Course Through Exercises

From the reviews 7 “This book fulfils its aim of providing good and interesting material for advanced undergraduate study.” 7 The Times Higher Education Supplement

1st ed. 1999. Corr. 3rd printing 2000. X, 226 p. 21 illus. (Springer Undergraduate Mathematics Series) SoftcoverISBN 978-3-540-76175-4 7 $49.95Sale price 7 $29.50

M. Chen, Beijing Normal University, Beijing, China

Eigenvalues, Inequalities, and Ergodic TheoryFrom the reviews 7 “The main topics of this book, as indicated in the title, are eigenvalues, inequalities, and ergodic theory. … Chen is an experienced researcher who has won prizes in China and spoken at the International Congress of Math, and he is an extensive writer of lecture notes. … The math is clearly explained and the book is pleasant to read. … it deserves a place on your bookshelf.” 7 Rick Durrett, SIAM Review, Vol. 48 (1), 2006

2005. XIII, 228 p. 15 illus. (Probability and its Applica-tions) HardcoverISBN 978-1-85233-868-8 7 $89.95Sale price 7 $59.50

H. Crauel, Technische Universität Berlin, Germany; M. Gundlach, University of Bremen, Germany (Eds.)

Stochastic DynamicsThis volume gives an account of new and recent developments in the theory of random and, in particular, stochastic dynamical systems. Its purpose is to document and, to some extent, summarise the current state of the field of random dynamical systems. The book is intended for an audience of researchers and graduate students from stochastics as well as dynamics. It contains carefully refereed contributions from experts in the field, chosen such that a consistent picture can be given.

1999. XVII, 440 p. 27 illus. HardcoverISBN 978-0-387-98512-1 7 $99.00Sale price 7 $39.50

G. Da Prato, Scuola Normale Superiore, Pisa, Italy

An Introduction to Infinite-Dimensional AnalysisThis book starts from the definition of Gaussian measures in Hilbert spaces, concepts such as the Cameron-Martin formula, Brownian motion and Wiener integral are introduced in a simple way. These concepts are then used to illustrate some basic stochastic dynamical systems (including dissipative nonlinearities) and Markov semi-groups, paying special attention to their long-time behavior: ergodicity, invariant measure. Here fundamental results like the theorems of Prokhorov, Von Neumann, Krylov-Bogoliubov and Khas‘minski are proved.

2006. X, 214 p. (Universitext) SoftcoverISBN 978-3-540-29020-9 7 $59.95Sale price 7 $39.50

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Probability Theory To Order: visit your local participating bookstore (see p. 1)

K. Itô, Kyoto University, Kyoto, Japan; H. P. McKean, New York University, New York, NY, USA

Diffusion Processes and their Sample PathsFrom the reviews 7 “The systematic character of the exposision, which makes from the widely ramified subject matter of the extensive literature a clear, masterly arranged whole, is a particularly valuable feature of this monograph.” 7 Publica-tiones Mathematicae

Reprint of the 1st ed. Berlin Heidelberg New York 1974 1996. XVI, 322 p. 1 illus. (Classics in Math-ematics) SoftcoverISBN 978-3-540-60629-1 7 $49.95Sale price 7 $34.50

Y. Kabanov, Université de Franche-Comté, Besançon, France; R. Lipster, Tel Aviv University, Israel; J. Stoyanov, University of Newcastle, UK (Eds.)

From Stochastic Calculus to Mathematical FinanceThe Shiryaev Festschrift

Dedicated to the Russian mathematician Albert Shiryaev on his 70th birthday, this is a collection of papers written by his former students, co-authors and colleagues. The book represents the modern state of art of a quickly maturing theory and will be an essential source and reading for researchers in this area. Diversity of topics and comprehensive style of the papers make the book attractive for PhD students and young researchers.

2006. XXXVIII, 634 p. 15 illus. HardcoverISBN 978-3-540-30782-2 7 $109.00Sale price 7 $69.50

S. L. Kalpazidou, Aristotle University, Thessaloniki, Greece

Cycle Representations of Markov ProcessesFrom the reviews 7 “The reviewer is glad that this second edition confirms his expectations concerning the applicability potential of the cycle representation topic. The book under review is indeed mainly motivated by the many applications of cycle representations which occurred in different fields, after the publication of the first edition.” 7 M. Iosifescu, Mathematical Reviews

2nd ed. 2006. XX, 301 p. 17 illus. (Stochastic Model-ling and Applied Probability, Volume 28) HardcoverISBN 978-0-387-29166-6 7 $89.95Sale price 7 $59.50

D. Khoshnevisan, University of Utah, Salt Lake City, UT, USA

Multiparameter ProcessesAn Introduction to Random Fields

From the reviews 7 “This book presents an updated and comprehensible account on the theory of multiparameter stochastic processes. … This book is certainly a basic reference for subjects like multiparameter martingales and potential theory for the Brownian sheet and several Markov processes. It can be useful for researchers who would like to learn the basis and recent develop-ments of these subjects. The book is self-contained … . In spite of the technical character of the subject, reading this book is a very pleasant and enriching experience.” 7 David Nualart, Mathe-matical Reviews, 2004

2002. XIX, 584 p. 8 illus. (Springer Monographs in Mathematics) HardcoverISBN 978-0-387-95459-2 7 $99.00Sale price 7 $59.50

H. Kuo, Louisiana State University, Baton Rouge, LA, USA

Introduction to Stochastic IntegrationFrom the reviews 7 “This is a very good book on stochastic integration covering subjects from a construction of a Brownian motion to stochastic differential equations. It grew up from lecture notes the author elaborated during several years, and can be equally well used for teaching and self-education. The text is extremely clear and concise both in language and mathematical notation. Every topic is illustrated by simple and motivating examples. … is a timely, happily designed and well written book. It will be useful for unprepared and advanced readers.” 7 Ilya Pavlyukevich, Zentral-blatt MATH, Vol. 1101 (3), 2007

2006. XIII, 279 p. 2 illus. (Universitext) SoftcoverISBN 978-0-387-28720-1 7 $49.95Sale price 7 $39.50

H. J. Kushner, Brown University, Providence, RI, USA

Heavy Traffic Analysis of Controlled Queueing and Communication NetworksFrom the reviews 7 “The book provides some nice reading … . Every chapter starts with some helpful overview about what is to be expected, and then immediately goes into detail. … the book will probably be useful as (theoretical) background for

today’s as well as tomorrow’s problems because many concepts are so fundamental that they will not become outdated … . the book is clearly structured and the concepts and ideas are well explained and supported by examples. … it is fun to study the book.” 7 S. Voss, Journal of the Operational Research Society, Issue 56, 2005

2001. XIX, 513 p. 50 illus. (Stochastic Modelling and Applied Probability, Volume 47) HardcoverISBN 978-0-387-95264-2 7 $99.00Sale price 7 $59.50

P. D. Moral, Universite de Nice Sophia Antipolis, Nice, France

Feynman-Kac FormulaeGenealogical and Interacting Particle Systems with Applications

From the reviews 7 “I also recommend this book as informal reading for anyone intersted in the subject, preferably with a strong background in Markov processes; in particular, for someone also familiar with one of the many fields to which the book applies Feynman-Kac models. The book is entertaining and informative.” 7 Journal of the American Statistical Association, December 2005

2004. XVIII, 555 p. 15 illus. (Probability and its Appli-cations) HardcoverISBN 978-0-387-20268-6 7 $79.95Sale price 7 $49.50

A. V. Skorokhod, Michigan State University, East Lansing, MI, USA; F. C. Hoppensteadt, Arizona State University, Tempe, AZ, USA; H. D. Salehi, Michigan State University, East Lansing, MI, USA

Random Perturbation Methods with Applications in Science and EngineeringFrom the reviews 7 “The authors introduce the reader to the mathematical theory of randomly perturbed dynamical systems. … the authors make the laudable attempt to introduce others, e.g. engi-neers and biologists (and non-expert mathemati-cians) … by starting the book with an Introduction that in less technical terms illustrates the main facts of the theory and how these facts help one better understand the dynamical systems consid-ered by scientists and engineers. This, together with many computer-simulated visualizations, may make the book accessible to scientists and engineers …” 7 Volker Wihstutz, Mathematical Reviews, 2003

2002. 504 p. 31 illus. (Applied Mathematical Sciences, Volume 150) HardcoverISBN 978-0-387-95427-1 7 $119.00Sale price 7 $49.50

Quantitative FinanceSee full descriptions at springer.com/sales

27

S. Torquato, University of Princeton, NJ, USA

Random Heterogeneous MaterialsMicrostructure and Macroscopic Properties

From the reviews 7 “Since the author has been at the forefront of this research field, he has deep insight into many of the theoretical develop-ments of the past two decades, and as a result has produced an outstanding book with many insightful comments. In my opinion, every serious researcher and advanced graduate student who is interested in heterogeneous materials should have a copy of this book.” 7 Journal of Statistical Physics

1st ed. 2001. Corr. 2nd printing 2006. XXI, 701 p. 218 illus. (Interdisciplinary Applied Mathematics, Volume 16) HardcoverISBN 978-0-387-95167-6 7 $89.95Sale price 7 $59.50

Quantitative Finance

K. Back, Texas A&M University, College Station, TX, USA

A Course in Derivative SecuritiesIntroduction to Theory and Computation

From the reviews 7 “The strength of this book is in its clarity in exposition of the complex … modern financial mathematics. The book is self-contained, and a student can learn the key elements of the main toolkits in financial engi-neering … . Further, the book provides useful exer-cises and VBA programs so that the students can simulate the results … . I recommend the book to an MBA program … . The book could also be used in some master programs in financial engineering and mathematical finance.” 7 Thomas S. Y. Ho, SIAM Review, Vol. 48 (3), 2006

2005. XV, 355 p. (Springer Finance) HardcoverISBN 978-3-540-25373-0 7 $69.95Sale price 7 $49.50

R. Buff, Goldman Sachs & Co. New York, NY, USA

Uncertain Volatility Models - Theory and ApplicationFrom the reviews 7 “This book, which comes out of the author’s Ph.D. thesis, introduces uncer-tain volatility models. … The formal results are illustrated by many empirical examples. … The C++ source code is available on an accompanying CD. The book bridges theory and real-world

problems in a clear and pragmatic fashion. It can be useful both for academics and for professionals in the financial community.” 7 Damir Filipovic, Mathematical Reviews, 2003

2002. XII, 244 p. With CD-ROM. (Springer Finance) SoftcoverISBN 978-3-540-42657-8 7 $64.95Sale price 7 $49.50

R. J. Elliott, University of Calgary, AL, Canada; P. E. Kopp, University of Hull, UK

Mathematics of Financial MarketsFrom the reviews 7 “The second edition adds new matieral from current active research areas. A new chapter on coherent risk measures for instance reflects the recent trend in research and applica-tions in the area of risk management. In summary, this is an excellent textbook in mathematical finance, and I can definitely recommend it.” 7 S. Peng, Short Book Reviews of the ISI, June 2006

2nd ed. 2005. XI, 352 p. 7 illus. (Springer Finance) HardcoverISBN 978-0-387-21292-0 7 $84.95Sale price 7 $59.50

P. Embrechts, ETH Zürich, Switzerland; C. Klüppel-berg, Technische Universität München, Germany; T. Mikosch, University of Copenhagen, Denmark

Modelling Extremal Events for Insurance and FinanceFrom the reviews 7 “(...) This book impresses me as being exceptionally well written, scholarly beyond question, more than a little daunting, and likely to become a classic in its field.” 7 SIAM Reviews

1st ed. 1997. Corr. 4th printing 2003. XV, 648 p. 100 illus. (Stochastic Modelling and Applied Probability, Volume 33) HardcoverISBN 978-3-540-60931-5 7 $107.00Sale price 7 $69.50

I. Karatzas, Columbia University, New York, NY, USA; S. E. Shreve, Carnegie-Mellon University, Pittsburgh, PA, USA

Methods of Mathematical FinanceFrom the reviews 7 “The book under review deals with the applications of stochastic analysis and optimal control theory to various problems arising in modern mathematical finance. ... Undoubtedly, the book constitutes a valuable research-level text which should be consulted

by anyone interested in the area. Unlike other currently available monographs, it provides an exhaustive and up-to-date treatment of portfolio optimization and valuation problems under constraints. It is also quite suitable as a textbook for an advanced course on mathematical finance.” 7 Marek RutKowski, Mathematical Reviews

1st ed. 1998. Corr. 3rd printing 2001. XV, 415 p. (Stochastic Modelling and Applied Probability, Volume 39) HardcoverISBN 978-0-387-94839-3 7 $79.95Sale price 7 $59.50

D. Lovelock, M. Mendel, A. Wright, University of Arizona, Tucson, AZ, USA

An Introduction to the Mathematics of MoneySaving and Investing

2007. XII, 300 p. 67 illus. HardcoverISBN 978-0-387-34432-4 7 $59.95Sale price 7 $39.50

Y. Malevergne, CNRS and University of Nice-Sophia Antipolis, France; D. Sornette, ETH Zürich, Zürich, Switzerland

Extreme Financial RisksFrom Dependence to Risk Management

From the reviews 7 “This book clearly elucidates extreme financial risks associated with rare events such as financial crashes. The highlight of the book is the delineation of various copulas in conjunc-tion with financial dependences among different assets of a portfolio. In particular, the insightful discussion on quadrant and orthant depen-dences casts new light on the connection between marginal models and financial dependence. … It is well organized and systematically brings a vivid portrayal of the subject to researchers and graduate students in mathematics and statistics.” 7 John Tuhao Chen, Mathematical Reviews, 2006

2006. XVI, 312 p. 62 illus. SoftcoverISBN 978-3-540-27264-9 7 $69.95Sale price 7 $49.50

28

Quantitative Finance To Order: visit your local participating bookstore (see p. 1)

A. Meucci, Lehman Brothers, Inc., New York, NY, USA

Risk and Asset AllocationFrom the reviews 7 “This book presents a detailed and well-explained introduction to one-period asset allocation techniques … . the book gives an impressive and comprehensive introduction to static one-period asset allocation. It explains most of the concepts intuitively and with a minimal mathematical machinery. … For practitioners, the book serves as a theoretical basis of their actual work. For students of finance and economics it gives a self-contained overview of the main quantitative concepts in the subject.” 7 Ludger Overbeck, SIAM Review, Vol. 48 (3), 2006

1st ed. 2005. Corr. 3rd printing 2007. XXVI, 532 p. (Springer Finance) HardcoverISBN 978-3-540-22213-2 7 $79.95Sale price 7 $59.50

M. Musiela, BNP Paribas, London, UK; M. Rutkowski, University of New South Wales, Sydney, NSW, Australia

Martingale Methods in Financial ModellingFrom the reviews 7 “ …This book is an impres-sive work of scholarship in mathematical finance in the area of option pricing. …contains the latest results and references. …The presence of many explicit formulae, for various types of derivatives, will make this book attractive to practitioners; and its breadth of content will make is useful for anyone who considers research in mathematical finance.” 7 The Australian and New Zealand Journal of Statistics

2nd ed. 2005. Corr. 2nd printing 2007. XX, 682 p. (Stochastic Modelling and Applied Probability, Volume 36) HardcoverISBN 978-3-540-20966-9 7 $84.95Sale price 7 $59.50

E. Platen, D. Heath, University of Technology Sydney, NSW, Australia

A Benchmark Approach to Quantitative FinanceFrom the reviews 7 “The book under review introduces quantitative finance using the bench-mark approach. … It is quite a nice blend of narrative and mathematics. There are also some bigger examples which contribute nicely to the overall presentation. … Exercises are provided at the end of each chapter. The authors even provide solutions to exercises. … I think it could be quite useful for students, because of the first part of the book, and to practitioners, due to the exposition in the second part of the book.” 7 Ita Cirovic Donev, MathDL, March, 2007

2006. XVI, 700 p. 199 illus. (Springer Finance) HardcoverISBN 978-3-540-26212-1 7 $89.95Sale price 7 $69.50

S. Roman, California State University, Fullerton, CA, USA

Introduction to the Mathematics of FinanceFrom Risk Management to Options Pricing

From the reviews 7 “Steven Roman’s book, Introduction to the Mathematics of Finance, notes in the preface the current paucity of undergrad-uate books on the mathematics of finance. … The choice of topics is good and at the right level for upper-level undergraduates … . The presentation is structured through definitions and theorems … there are worked examples and discussion.” 7 Ronnie Sircar, SIAM Review, Vol. 47 (2), 2005

2004. XV, 354 p. 55 illus. (Undergraduate Texts in Mathematics) HardcoverISBN 978-0-387-21375-0 7 $89.95Sale price 7 $49.50

R. U. Seydel, Universität zu Köln, Germany

Tools for Computational FinanceFrom the reviews of the previous edition 7 “This book is very easy to read and one can gain a quick snapshot of computational issues arising in financial mathematics. Researchers or students of the mathematical sciences with an interest in finance will find this book a very helpful and gentle guide to the world of financial engineering.” 7 SIAM Review, 2004

3rd ed. 2006. XIX, 304 p. 75 illus. (Universitext) SoftcoverISBN 978-3-540-27923-5 7 $59.95Sale price 7 $44.50

S. E. Shreve, Carnegie Mellon University, Pittsburgh, PA, USA

Stochastic Calculus for Finance IThe Binomial Asset Pricing Model

From the reviews 7 “... The content of this book is organized such as to give the reader precise statements of results, plausibility arguments, mathematical proofs and, more importantly, the intuitive explanations of the financial and economic phenomena. Each chapter concludes with summary of the discussed matter, biblio-graphic notes, and a set of really useful exercises.” 7 Neculai Curteanu, Zentralblatt MATH, Vol. 1068, 2005

2004. XV, 208 p. 33 illus. (Springer Finance) Hard-coverISBN 978-0-387-40100-3 7 $49.95Sale price 7 $34.50

Y. Zhu, University of North Carolina at Charlotte, Charlotte, NC, USA; X. Wu, Hong Kong Baptist Univer-sity, Kowloon, Hong Kong, China; I. Chern, National Taiwan University, Taipei, Taiwan

Derivative Securities and Difference MethodsFrom the reviews 7 “This book is devoted to pricing financial derivatives with a partial differ-ential equation approach. It has two parts, each with four chapters. … The book covers a variety of topics in finance, such as forward and futures contracts, the Black-Scholes model, European and American type options, free boundary problems, barrier options, lookback options, multi-asset options, interest rate models, interest rate deriva-tives, swaps, swaptions, caps, floors, and collars. The treatment is mathematically rigorous. There are exercises at the end of each chapter.” 7 Elias Shiu, Zentralblatt MATH, Vol. 1061 (12), 2005

2004. XVIII, 518 p. 92 illus. (Springer Finance) HardcoverISBN 978-0-387-20842-8 7 $89.95Sale price 7 $69.50


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Birkhäuser Green Sale

E. M. Alfsen, University of Oslo, Norway; F. W. Shultz, Wellesley College, Wellesley, MA, USA

State Spaces of Operator AlgebrasBasic Theory, Orientations, and C*-products

From the reviews 7 “This excellent book was born out of the authors’ successful attempts to answer questions [like] ‘When is a compact convex set the state space of a C*-algebra?’ . . . I would regard the book as essential reading for any graduate student working in C*-algebras and related areas, particularly those with an interest in geometry.” 7 Zentralblatt MATH

2001. XII, 350 p. (Mathematics: Theory & Applica-tions) HardcoverISBN 978-0-8176-3890-0 7 $79.95Sale price 7 $39.50

T. Andreescu, The University of Texas at Dallas, Richardson, TX, USA; D. Andrica, „Babes-Bolyai“ University, Cluj-Napoca, Romania

Complex Numbers from A to ...ZFrom the reviews 7 “It is for the readers who seek to harness new techniques and to polish their mastery of the old ones. It is for somebody who made it their business to be solving problems on a regular basis. These readers will appreciate the scope of the methodological detail the authors of the book bring to their attention, they will appre-ciate the power of the methods and theintricacy of the problems.” 7 MAA Reviews

2005. XI, 321 p. SoftcoverISBN 978-0-8176-4326-3 7 $49.95Sale price 7 $39.50

H. Bass, University of Michigan, Ann Arbor, MI, USA; A. Lubotzky, Hebrew University, Jerusalem, Israel

Tree LatticesFrom the reviews 7 “The book is a helpful resource to researchers in the field and students of geometric methods in group theory.” 7 Educa-tional Book Review

2001. XIII, 233 p. 80 illus. (Progress in Mathematics, Volume 176) HardcoverISBN 978-0-8176-4120-7 7 $79.95Sale price 7 $49.50

S. Billey, Massachusetts Institute of Technology, Cambridge, Ma, USA; V. Lakshmibai, Northeastern University, Boston, MA, USA

Singular Loci of Schubert VarietiesFrom the reviews 7 “The authors review the major papers in the topic that have been written during the last two decades, giving a comprehen-sive bibliography…this is a very important survey of the subject.” 7 Mathematical Reviews

2000. CXX, 251 p. (Progress in Mathematics, Volume 182) HardcoverISBN 978-0-8176-4092-7 7 $79.95Sale price 7 $39.50

A. Borel, L. Ji, University of Michigan, Ann Arbor, MI, USA

Compactifications of Symmetric and Locally Symmetric SpacesFrom the reviews 7 “In the book under review the authors pursue three chief goals: to give a comprehensive overview of existing compactifica-tions … to explain the relations among them and to provide a uniform construction. … The style is user-friendly … . It can be highly recommended and will be very useful to anyone, graduate student or research mathematician, interested in the geometry and topology of (locally) symmetric spaces.” 7 Enrico Leuzinger, Mathematical Reviews, Issue 2007

2006. XIII, 479 p. (Mathematics: Theory & Applica-tions) HardcoverISBN 978-0-8176-3247-2 7 $79.95Sale price 7 $49.50

D. Bucur, Université de Metz, Metz, France; G. Buttazzo, Università di Pisa, Pisa, Italy

Variational Methods in Shape Optimization ProblemsFrom the reviews 7 “The book under review deals with some variational methods to treat shape optimization problems … . The book contains a complete study of mathematical problems for scalar equations and eigenvalues, in particular regarding the existence of solutions in shape optimization. … The main goal of the book is to focus on the existence of an optimal shape, necessary conditions of optimality, and stability of optimal solutions under some prescribed kind of perturbations.” 7 Jan Sokolowski, Mathematical Reviews, Issue 2006

2005. VIII, 216 p. 19 illus. (Progress in Nonlinear Differential Equations and Their Applications, Volume 65) HardcoverISBN 978-0-8176-4359-1 7 $69.95Sale price 7 $49.50

D. Chruscinski, A. Jamiolkowski, Nicolaus Coper-nicus University, Torun, Poland

Geometric Phases in Classical and Quantum MechanicsFrom the reviews 7 “This monograph is the most recent addition to the body of book length surveys on the topic of geometric phases and physics addressed primarily to physicists...the present title is a most welcome and useful addition. The entire text is very clearly written, well-organized, and generously interspersed with examples (both mathematical and physical) illustrating the abstract formulations. The writing style is efficiently pedagogical and concise, with just the right amount of detail to avoid confusion and repetition in what is after all a very complex, intricate and difficult topic.” 7 Mathematical Reviews

2004. XVIII, 344 p. 47 illus. (Progress in Mathematical Physics, Volume 36) HardcoverISBN 978-0-8176-4282-2 7 $94.95Sale price 7 $59.50

P. C. Consul, University of Calgary, AB, Canada; F. Famoye, Central Michigan University, Mount Pleasant, MI, USA

Lagrangian Probability DistributionsFrom the reviews 7 “The book is the first comprehensive presentation of the theory of distri-butions which are derived and/or closely connected with Lagrange expansions. It gives an overview of the research on this topic published during the last thirty-five years. The text is illustrated with many surprising examples. The book can be recom-mended for both applied and theoretical statistics.” 7 Mathematical Reviews

2006. XX, 352 p. HardcoverISBN 978-0-8176-4365-2 7 $79.95Sale price 7 $59.50

G. David, Université de Paris-Sud, France

Singular Sets of Minimizers for the Mumford-Shah FunctionalFrom the reviews 7 “This monograph is the Ferran Sunyer i Balaguer 2004 prize winner.The book under review gives an excellent overview of a part of the work done in recent years on this problem … and the book is therefore a useful source for mathematicians working in this field.” 7 Mathematical Reviews

2005. XIV, 581 p. (Progress in Mathematics, Volume 233) HardcoverISBN 978-3-7643-7182-1 7 $149.00Sale price 7 $69.50


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L. Debnath, University of Texas Pan American, Edin-burg, TX, USA

Nonlinear Partial Differential Equations for Scientists and EngineersFrom the reviews of the first edition 7 “Debnath’s book comprehensively surveys methods for solving partial differential equa-tions as well as a complete and thorough analysis of their solutions. The book is well designed for graduate students in physics, engineering, and applied mathematics sequences, and scientists and engineers whose projects require the solution of partial differential equations. It provides an excellent introduction to linear partial differential equations, together with a rigorous treatment of well-selected, real-world examples and methods of solution of nonlinear partial differential equations and their significance. Problems and exercises well suited for use in graduate classes, for example, are completely solved to illustrate the various methods presented. Debnath’s book will certainly be an invaluable resource for self-study as well as a reference text for scientists, engineers, and applied mathematicians. Exceptionally well written. Highly recommended.” 7 CHOICE

2nd ed. 2005. XXII, 737 p. 77 illus. HardcoverISBN 978-0-8176-4323-2 7 $79.95Sale price 7 $49.50

M. Demuth, Technische Universität Clausthal, Clausthal-Zellerfeld, Germany; M. Krishna, Institute of Mathematical Sciences, Chennai, India

Determining Spectra in Quantum TheoryFrom the reviews 7 “In my opinion, the basic idea of the monograph is to help graduate students working on spectral theory and beginning researchers in the field to build a toolkit. The book definitely has more than enough material for this purpose, some of which is quite advanced, and it is very up to date. In conclusion, I believe that this book will prove extremely useful for its target audience (advanced graduate students with an interest in this area). Moreover, it will also very much feel at home on the bookshelf of an expert.” 7 Mathematical Reviews

2005. X, 219 p. (Progress in Mathematical Physics, Volume 44) HardcoverISBN 978-0-8176-4366-9 7 $99.00Sale price 7 $59.50

A. Deutsch, Technical University of Dresden, Germany; S. Dormann, University of Osnabrück, Germany

Cellular Automaton Modeling of Biological Pattern FormationCharacterization, Applications, and Analysis

From the reviews 7 “This is a very well written book on how to use cellular automaton, and especially Lattice-Gas-based Cellular Automaton (LGCA), to model various biological phenomena such as schools of fish, pigment distribution in salamanders, and tumor growth. It is suitable for researchers interested in modeling pattern formation, in general, and CA, or Turing patterns, in particular. It is also well adapted for graduate (and advanced undergraduate) students.... There are lists of highly interesting possible future research projects...” 7 Genetic Programming and Evolvable Machines

2005. XXVI, 334 p. 131 illus. (Modeling and Simula-tion in Science, Engineering and Technology) HardcoverISBN 978-0-8176-4281-5 7 $89.95Sale price 7 $49.50

C. Duval, Centre de Physique Théorique, Marseille Cedex, France; L. Guieu, Université Montpellier, France; V. Ovsienko, Institut Girard Desarques, Villeurbanne Cedex, France

The Orbit Method in Geometry and PhysicsIn Honor of A.A. Kirillov

From the reviews 7 “…the volume might be useful to a large number of potential readers inter-ested in various fields, like representation theory of Lie groups, symplectic geometry, differential equations, combinatorics, etc. It is noteworthy that the history of mathematics can also be added to this list of topics, due to the nice article authored by J. Dixmier.” 7 Romanian Journal of Pure and Appl. Math.

2003. XII, 472 p. 1 illus. (Progress in Mathematics, Volume 213) HardcoverISBN 978-0-8176-4232-7 7 $119.00Sale price 7 $69.50

H. M. Edwards, New York University, NY, USA

Advanced CalculusA Differential Forms Approach

From the reviews 7 “An inviting, unusual, high-level introduction to vector calculus, based solidly on differential forms. Superb exposition: informal but sophisticated, down-to-earth but general, geometrically and physically intuitive but mathematically rigorous, entertaining but serious. Remarkably diverse applications, physical and mathematical.” 7 The American Mathematical Monthly

1994. 528 p. HardcoverISBN 978-0-8176-3707-1 7 $54.95Sale price 7 $39.50

P. Etingof, Massachusetts Institute of Technology, Cambridge, MA, USA; V. Retakh, Rutgers University, Piscataway, NJ, USA; I. Singer, Massachusetts Insti-tute of Technology, Cambridge, MA, USA (Eds.)

The Unity of MathematicsIn Honor of the Ninetieth Birthday of I.M. Gelfand

From the reviews 7 “This book is a unique and wonderful collection of papers presented at a conference honoring one of the most productive, influential and still young mathematicians of the 20th century, I. M. Gelfand. As the title suggests, the articles refer to the connections between several fields: geometry, physics, representation theory, algebraic geometry.... The authors of the papers are some of the best mathematicians of present day...[and] most of them emphasize the crucial contribution that Gelfand’s work had in many different ways.... [T]he papers are unique, very deep and very well written. Mathematicians and graduate students will find lots of connections, ideas and inspiration in this wonderful collection of papers.” 7 MAA

2006. XXII, 632 p. 41 illus. (Progress in Mathematics, Volume 244) HardcoverISBN 978-0-8176-4076-7 7 $115.00Sale price 7 $49.50



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H. G. Feichtinger, University of Vienna, Austria; T. Strohmer, University of California, Davis, CA (Eds.)

Advances in Gabor AnalysisFrom the reviews 7 “The authors have put their effort into writing articles with the necessary background to make their presentations attractive and including a complete set of references. Good introductions and detailed expositions of ideas are given in all the presentations. These features make this book an invaluable tool for researchers inter-ested in signal analysis. The research community will benefit greatly from this publication.” 7 Mathematical Reviews

2001. 376 p. 22 illus. (Applied and Numerical Harmonic Analysis) HardcoverISBN 978-0-8176-4239-6 7 $79.95Sale price 7 $49.50

G. Grätzer, University of Manitoba, Winnipeg, MB, Canada

The Congruences of a Finite LatticeA Proof-by-Picture Approach

From the reviews 7 “The book is self-contained, with many detailed rpoofs presented that can be followed step-by-step. [I]n addition to giving the full formal detals of the proofs, the author chooses a somehow more pedagogical way that he calls Proof-by-Picture, somehow related to the combi-natorial (as opposed to algebraic) nature of many of the presented results. I believe that this book is a much-needed tool for any mathematician wishing a gentle introduction to the field of congruences representations of finite lattices, with emphasis on the more geometric aspects.” 7 Mathematical Reviews

2006. XXII, 282 p. 110 illus. With online files/update. HardcoverISBN 978-0-8176-3224-3 7 $59.95Sale price 7 $39.50

J. A. Hogan, University of Arkansas, Fayetteville, AR, USA; J. D. Lakey, New Mexico State University, Las Cruces, NM, USA

Time7Frequency and Time7Scale MethodsAdaptive Decompositions, Uncertainty Principles, and Sampling

From the reviews 7 “[The] book under review is written from a relatively novel perspective: its goal is to carefully and deeply study the similarities and differences between time-frequency and time-scale methods. Thus, one may view the present book as a continuation of the famous textbook of Ingrid Daubechies [Ten Lectures on Wavelets].... In my opinion, the two books nicely complement each

other and both are a ‚must have‘ for everyone who is interested in a deeper understanding of time-frequency and time-scale methods.” 7 Zentralb-latt MATH

2005. XXII, 390 p. 22 illus. (Applied and Numerical Harmonic Analysis) HardcoverISBN 978-0-8176-4276-1 7 $74.95Sale price 7 $49.50

M. Jacobsen, University of Copenhagen, Denmark

Point Process Theory and ApplicationsMarked Point and Piecewise Deterministic Processes

From the reviews 7 “The most remarkable aspect of the book is the reader-friendly structure and the style in which it has been written. The importance of the book both from the practical and from the theoretical standpoint is unquestion-able. This book will be an essential part of every mathematical library.” 7 Zentralblatt MATH

2006. X, 328 p. (Probability and its Applications) HardcoverISBN 978-0-8176-4215-0 7 $59.95Sale price 7 $39.50

M. Kashiwara, T. Miwa, Kyoto University, Japan (Eds.)

Physical CombinatoricsThis text is concerned with combinatorial aspects arising in the theory of exactly solvable models and representation theory. It presents new result and exciting ideas from three viewpoints of research: representation theory, integrable models, and combinatorics.

2000. IX, 917 p. 88 illus. (Progress in Mathematics, Volume 191) HardcoverISBN 978-0-8176-4175-7 7 $123.00Sale price 7 $59.50

S. Klainerman, F. Nicolo

The Evolution Problem in General RelativityFrom the reviews 7 “The book . . . gives a new proof of the central part of the theorem of Christ-odoulou and S. Klainerman, The global nonlinear stability of the Minkowski space . . . The authors prove, working in terms of double null foliations, a nonlinear stability, or global existence for small data, result for exterior domains.” 7 Mathema-tical Reviews

2002. 400 p. 20 illus. (Progress in Mathematical Physics, Volume 25) HardcoverISBN 978-0-8176-4254-9 7 $89.95Sale price 7 $49.50

S. G. Krantz, Washington University, St. Louis, MO, USA

Geometric Function TheoryExplorations in Complex Analysis

From the reviews 7 “The geometric point of view is the unifying theme in this fine textbook in complex function theory. But the author also studies byways that come from analysis and algebra.... Altogether, the author treats advanced topics that lead the reader to modern areas of research. And what is important, the topics are presented with an explanation of their interac-tion with other important parts of mathematics. The presentations of the topics are clear and the text makes [for] very good reading; basic ideas of many concepts and proofs are carefully described, non-formal introductions to each chapter are very helpful, a rich collection of exercises is well composed and helps the student to understand the subject. .... In this reviewer‘s opinion, the book can warmly be recommended both to experts and to a new generation of math-ematicians.” 7 Zentralblatt MATH

2006. XIV, 314 p. 41 illus. (Cornerstones) HardcoverISBN 978-0-8176-4339-3 7 $69.95Sale price 7 $49.50

C. S. Kubrusly, Catholic University of Rio de Janeiro, RJ, Brazil

Hilbert Space OperatorsA Problem Solving Approach

From the reviews 7 “…the author treats many new subjects of operator theory for graduate students and mathematicians, i.e., quasihy-ponormal operators, paranormal operators, proper contractions, quasireducible operators, a detailed presentation of the Lomonosov theorem on nontrivial hyperinvariant subspaces for compact operators, etc. This book will be of benefit to graduate students (in mathematics, physics, engineering, economics, and statistics) and many mathematicians.” 7 Zentralblatt MATH

2003. XIII, 149 p. SoftcoverISBN 978-0-8176-3242-7 7 $69.95Sale price 7 $49.50


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P. Kythe, P. Puri, University of New Orleans, LA, USA

Computational Methods for Linear Integral EquationsFrom the reviews 7 “The monograph is devoted to numerical methods for solving one-dimensional linear integral equations. Fredholm and Volterra integral equations of first and second kinds are considered. The authors pay more attention to computational aspects of solving integral equa-tions. A lot of numerical examples and results of computations by computers are presented.” 7 Mathematical Reviews

2002. XVIII, 508 p. 12 illus. HardcoverISBN 978-0-8176-4192-4 7 $119.00Sale price 7 $69.50

V. A. Marchenko, E. Y. Khruslov, B.Verkin Institute for Low Temperature Physics and Engineering, Kharkov, Ukraine

Homogenization of Partial Differential EquationsFrom the reviews 7 “The aim of homogenization theory is to establish the macroscopic behaviour of a microinhomogenous system, in order to describe some characteristics of the given heterogeneous medium. … The book is an excellent, prac-tice oriented, and well written introduction to homogenization theory bringing the reader to the frontier of current research in the area. It is highly recommended to graduate students in applied mathematics as well as to researchers interested in mathematical modeling and asymptotical analysis.” 7 J. Kolumban, Studia Universitatis Babes-Bolyai Mathematica, Vol. LII (1), 2007

2006. XII, 398 p. 28 illus. (Progress in Mathematical Physics, Volume 46) HardcoverISBN 978-0-8176-4351-5 7 $139.00Sale price 7 $69.50

A. I. Mees, University of Western Australia, Perth, WA, Australia (Ed.)

Nonlinear Dynamics and StatisticsThis book describes the state of the art in nonlinear dynamical reconstruction theory. The chapters are based upon a workshop held at the Isaac Newton Institute, Cambridge University, UK, in late 1998. The book‘s chapters present theory and methods topics by leading researchers in applied and theoretical nonlinear dynamics, statistics, probability, and systems theory. Professionals, researchers, and advanced

graduates in nonlinear dynamics, probability, optimization, and systems theory will find the book a useful resource and guide to current developments in the subject.

2001. XXII, 473 p. 120 illus. HardcoverISBN 978-0-8176-4163-4 7 $148.00Sale price 7 $69.50

G. Métivier, Université de Bordeaux, France

Small Viscosity and Boundary Layer MethodsTheory, Stability Analysis, and Applications

From the reviews 7 “The main aim of this book is to provide a self-contained introduction to the topic together with a large exposition of the recent results … . The book is very well written with an interesting level of difficulty which makes it easy to read. It is recommended to everyone interested in this area, beginners and specialists, since it starts with a good introduction and the presentation of rather simple results and finishes with a nice expo-sition of current research.” 7 Frédéric Rousset, Mathematical Reviews, 2007

2004. XX, 194 p. (Modeling and Simulation in Science, Engineering and Technology) HardcoverISBN 978-0-8176-3390-5 7 $69.95Sale price 7 $49.50

M. Moszynska, Warsaw University, Warsaw, Poland

Selected Topics in Convex GeometryFrom the reviews 7 “This book is the translation and revision of the original Polish 2001 edition. Its focus is on studying convexity for its own sake rather than on applications of convexity … . The readable book contains numerous examples and some exercises. … the book could be used by students for courses or seminars in several geometric fields.” 7 E. Hertel, Mathematical Reviews, 2006

2006. XVI, 226 p. 30 illus. With online files/update. SoftcoverISBN 978-0-8176-4396-6 7 $59.95Sale price 7 $39.50

T. Ogden

Essential Wavelets for Data AnalysisFrom the Reviews 7 As an accessible work that explains the decomposition and reconstruction of wavelet algorithms as applied to statistical data, Ogden’s book is one of the growing number on wavelets. But this book is in a class of its own: it concentrates solely on the application of wavelets to statistics and data analysis. Ogden gives a brief introduction to basic theory, and then provides generous examples of wavelets and how they are constructed. He briefly compares Fourier methods, then discusses statistical applications, such as density estimation, estimation of regression func-tions through the application of the convolution-type kernel function, statistical testing, and Bayesian methods.... The book could conveniently be used by scientists who wish to apply wavelet methods to data analysis and by graduate students as a supplementary text. Recommended. Graduates through faculty and professionals.” 7 CHOICE

1997. HardcoverISBN 978-0-8176-3864-1 7 $67.95Sale price 7 $39.50

B. Poonen, University of California, Berkeley, CA, USA; Y. Tschinkel, Princeton University, USA (Eds.)

Arithmetic of Higher-Dimensional Algebraic VarietiesFrom the reviews 7 “These articles which are written by leading experts make interesting reading and also give the non expert reader an idea of the subject. In addition there is an exten-sive index covering the entire volume and a glos-sary of important notions. In particular readers who are not specialists in the field may find this very helpful.” 7 Monatshefte für Mathematik

2004. XVI, 287 p. 10 illus. (Progress in Mathematics, Volume 226) HardcoverISBN 978-0-8176-3259-5 7 $84.95Sale price 7 $49.50



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A. Romano, Universita degli Studi di Napoli „Federico II,“ Napoli, Italy; R. Lancellotta, Politecnico di Torino, Torino, Italy; A. Marasco, Universita degli Studi di Napoli „Federico II,“ Napoli, Italy

Continuum Mechanics using Mathematica®Fundamentals, Applications and Scientific Computing

From the reviews 7 “The book will be an invalu-able reference for all those with active interest in the areas of continuum mechanics and its fundamental applications: balance laws, constitu-tive axioms, linear elasticity, fluid dynamics, waves, etc. It may serve as a supplement to any of the standard textbooks for undergraduate students, graduate students, and researchers in applied mathematics, mathematical physics, and engineering.” 7 Zentralblatt MATH

2006. XII, 388 p. 66 illus. With CD-ROM. (Modeling and Simulation in Science, Engineering and Tech-nology) HardcoverISBN 978-0-8176-3240-3 7 $79.95Sale price 7 $59.50

I. Sabadini, Politecnico di Milano, Milano, Italy; D. C. Struppa, D. F. Walnut, George Mason University, Fairfax, VA, USA (Eds.)

Harmonic Analysis, Signal Processing, and ComplexityFestschrift in Honor of the 60th Birthday of Carlos A. Berenstein

Carlos A. Berenstein has had a profound influence on scholars and practitioners alike amid a distinguished mathematical career spanning nearly four decades. His uncommon capability of adroitly moving between these parallel worlds is demonstrated by the breadth of his research interests. This volume, which celebrates his sixtieth birthday, reflects the state-of-the-art in these areas. Original articles and survey articles, all refereed, cover topics in harmonic and complex analysis, as well as more applied work in signal processing.

2005. XI, 162 p. 15 illus. (Progress in Mathematics, Volume 238) HardcoverISBN 978-0-8176-4358-4 7 $79.95Sale price 7 $39.50

K. Steffens, Kreuzau, Germany

The History of Approximation TheoryFrom Euler to Bernstein

From the reviews 7 “The discussion of mathematical results and ideas constitutes the main part of the book—always accompanied by

moving stories, marked by devotion to science, by humanity, and often by the cruelty of the political turbulence of Russian history. Undoubtedly, the author has succeeded in catching the spirit both of the Russian atmosphere of that time and of the depth and richness of the human relationships of the people involved.” 7 Mathematical Reviews

2006. XIX, 219 p. 12 illus. SoftcoverISBN 978-0-8176-4353-9 7 $79.95Sale price 7 $49.50

P. Stollmann, Technical University of Chemnitz, Germany

Caught by DisorderBound States in Random Media

From the reviews 7 “The main purpose of this book is to present, in quite an accessible way, the essence of multiscale analysis, a technique needed in proving Anderson localization, or exponen-tial localization, for random Schrodinger-like operators ... The treatise consists of four chapters, which are well arranged so as to clarify the logical structure of this hard technique...” 7 Nariyuki Minami, Mathematical Reviews

2001. XVII, 166 p. 24 illus. (Progress in Mathematical Physics, Volume 20) HardcoverISBN 978-0-8176-4210-5 7 $79.95Sale price 7 $49.50

T. Suzuki, Osaka University, Osaka, Toyonaka-shi, Japan

Free Energy and Self-Interacting ParticlesFrom the reviews 7 “This book is primarily concerned with systems of partial differential equations of elliptic-parabolic type. Such systems are special cases of systems of pdes that occur naturally in biochemistry, biophysics, molecular biology, and in chemical thermodynamics and statistical mechanics—in short wherever chemical kinetics and diffusive processes are present in a system…. The book itself is well organized and readable although very technical. It is a book about the mathematics of systems and not biology or thermodynamics…. [It] certainly belongs on the bookshelf of specialists in nonlinear pde/math biology.” 7 Bulletin of the AMS

2005. XIV, 366 p. 7 illus. With online files/update. (Progress in Nonlinear Differential Equations and Their Applications, Volume 62) HardcoverISBN 978-0-8176-4302-7 7 $129.00Sale price 7 $69.50

V. A. Toponogov, Sobolev Institute of Mathematics, Novosibirsk, Russia

Differential Geometry of Curves and SurfacesA Concise Guide

From the reviews 7 “This book by the late author covers … the subjects which are normally taught in a course on the differential geometry of curves and surfaces. … It can be recommended for first-year graduate students and also for use in the classroom. … the book is rich in geometry and concrete examples. … the book is very welcome since it is an original contribution in various aspects and gives a number of geometric insights … . Numerous illustrations make the reading enjoyable.” 7 Wolfgang Kühnel, Mathematical Reviews, Issue 2006

2006. XII, 206 p. 70 illus. SoftcoverISBN 978-0-8176-4384-3 7 $59.95Sale price 7 $39.50

W. Wallis, Southern Illinois University, Carbondale, IL, USA

A Beginner‘s Guide to Finite MathematicsFor Business, Management, and the Social Sciences

From the reviews 7 “Requiring little math-ematical background beyond high school algebra, the text will be especially useful for business and liberal arts majors. Its straightforward treatment of the essential concepts in finite mathematics will appeal to a wide audience of students and teachers.” 7 Zentralblatt MATH

2004. XII, 354 p. 100 illus. SoftcoverISBN 978-0-8176-4270-9 7 $54.95Sale price 7 $39.50


34

Author Index To Order: visit your local participating bookstore (see p. 1)

Author Index

A

Akivis, 15Aldous, 23Alfsen, 29Anderson, 15Andreescu, 29Apostol, 23Arnold, 5Arnold, 4Arveson, 5Ashlock, 11Atkinson, 5Aubert, 13

B

Back, 27Banasiak, 9Barbeau, 5Bass, 29Bender, 5Betounes, 11Betten, 2Billey, 29Bix, 15Bolibruch, 19Bollobas, 23Boltyanskii, 15Bondeson, 11Borel, 29Borwein, 5Borwein, 11Bosma, 11Bott, 15Brass, 15Bredon, 16Bressoud, 5Bridges, 19Britton, 19Brzezniak, 25Bucur, 29Buff, 27Bump, 2Burgisser, 11

C

Campbell, 11Cartier, 23Chen, 25Choe, 14Chruscinski, 29Chudinovich, 6Consul, 29Conway, 6Conway, 6Coombes, 6Coppel, 23Coppel, 23Cornell, 23Cox, 16Coxeter, 16Crandall, 24Crauel, 25

Cull, 14

D

Da Prato, 25Daepp, 19Dale, 20Danaila, 12David, 29Debarre, 16Debnath, 30Demazure, 16Demuth, 30Deutsch, 30Diestel, 24Dragan, 9Dumortier, 14Duval, 30Dyke, 20

E

Ebbinghaus, 20Ebbinghaus, 20Eckmann, 16Edmunds, 6Edwards, 30Elaydi, 14Elkadi, 16Elliott, 27Elnashaie, 12Embrechts, 27Emmer, 12Engel, 6Enns, 20Etingof, 30Everest, 24Ewens, 9

F

Feichtinger, 31Fiedler, 20Francis, 16Fritsch, 17

G

Georgiadou, 20Ghorpade, 6Giannessi, 9Gindikin, 20Godsil, 24Goldreich, 24Goldschmidt, 17Goldstein, 24Gratzer, 31Groah, 9Grünbaum, 17Guillemin, 17Gustafson, 12

H

Hairer, 12Halmos, 21Harris, 21Hartshorne, 17

Hersh, 21Hilton, 21Hindry, 6Hirst, 7Hjelle, 12Hoffman, 12Hogan, 31Holden, 9Hoppensteadt, 7Hoppensteadt, 19Howie, 7Humphreys, 2Hunt, 14

I

Irving, 2Ischebeck, 2Iske, 12Istas, 9Ito, 26Ivanov, 24

J

Jacobsen, 31Jones, 24Jorgensen, 7Jost, 7Jost, 14

K

Kabanov, 26Kalpazidou, 26Kane, 7Karatzas, 27Karniadakis, 13Kashiwara, 2Kashiwara, 31Khoshnevisan, 26Khrennikov, 2Klainerman, 31Koblitz, 24Komjßth, 21Krantz, 31Kreuzer, 3Kubrusly, 31Kuo, 26Kushner, 26Kythe, 32

L

Lam, 3Lam, 3Lang, 3Lang, 7Lang, 17Lang, 25Lee, 17Lee, 17Li, 21Logan, 10Logan, 14Lovelock, 27Lucchetti, 21Luenberger, 21

M

Ma, 10Maclachlan, 18Malevergne, 27Mandelbrot, 18Marchenko, 32Marker, 22Markowich, 10Mavron, 10Mees, 32Métivier, 32Meucci, 28Miller, 3Moral, 26Moschovakis, 22Moszynska, 32Murray, 19Murray, 19Musiela, 28

N

Naess, 22Nazareth, 13Nebe, 3Nedelec, 7Neittaanmaki, 22Nepomnyashchy, 10

O

Oertel, 10Ogden, 32Osborne, 3

P

Pedregal, 22Peller, 8Petersen, 18Pitkethly, 3Platen, 28Poonen, 32

Q

Quarteroni, 13

R

Rade, 22Ratcliffe, 18Rautenberg, 22Ray, 4Reed, 25Ribenboim, 25Rjasanow, 13Roman, 4Roman, 28Romano, 33Rubel, 8

S

Sabadini, 33Saito, 8

Title IndexSee full descriptions at springer.com/sales

35

Schattschneider, 18Schubring, 22Serre, 4Serre, 4Seydel, 28Shirali, 8Shpilrain, 18Shreve, 28Skorokhod, 26Small, 14Souza, 8Steffens, 33Stillwell, 25Stollmann, 33Stubhaug, 22Sundnes, 13Suzuki, 33

T

Tauvel, 4Toponogov, 33Torquato, 27Tweddle, 23

V

Vasconcelos, 4Vasconcelos, 18Verhulst, 15Vretblad, 8

W

Wallis, 33Warner, 18Waymire, 15Weickert, 13Weintraub, 4Wodarz, 19

Y

Yang, 8Yao, 10Yeung, 10

Z

Zaslavski, 23Zhu, 28Zong, 25

Title Index

18 Unconventional Essays on the Nature of Mathematics, 21

A

Acoustic and Electromagnetic Equations, 7Advanced Calculus, 30Advanced Linear Algebra, 4Advanced Mathematical Methods for Scientists and Engineers I, 5

Advances in Gabor Analysis, 31Algebraic Functions and Projective Curves, 17Algebraic Geometry, 17Algebraic Geometry and Geometric Modeling, 16Algebraic Graph Theory, 24Analysis and Probability, 7Analytical and Computational Methods of Advanced Engineering Mathematics, 12Applied Partial Differential Equations:, 10Arithmetic of Higher-Dimensional Algebraic Varieties, 32Arithmetic of Hyperbolic 3-Manifolds, 18Arnold’s Problems, 4Automorphic Forms and Lie Superalgebras, 4

B

Basic Homological Algebra, 3Basic Stochastic Processes, 25Beginner’s Guide to Finite Mathematics, 33Benchmark Approach to Quantitative Finance, 28Berkeley Problems in Mathematics, 8Bifurcations and Catastrophes, 16

C

Calculus of One Variable, 7Categories and Sheaves, 2Caught by Disorder, 33Cellular Automaton Modeling of Biological Pattern Formation, 30Combinatorial Commutative Algebra, 3Combinatorial Methods, 18Compactifications of Symmetric and Locally Symmetric Spaces, 29Completeness and Reduction in Algebraic Complexity Theory, 11Complex Numbers from A to ...Z, 29Computational Commutative Algebra 2, 3Computational Electromagnetics, 11Computational Ergodic Theory, 14Computational Methods for Linear Integral Equations, 32Computational Methods in Commutative Algebra and Algebraic Geometry, 18Computational Turbulent Incompressible Flow, 12Computer Algebra Recipes, 20Computing the Electrical Activity in the Heart, 13Concise Introduction to Mathematical Logic, 22Conflicts Between Generalization, Rigor, and Intuition, 22Congruences of a Finite Lattice, 31Conics and Cubics, 15Constantin Carathéodory, 20Constrained Optimization and Image Space Analysis, 9Continuum Mechanics using Mathematica, 33Convex Analysis and Nonlinear Optimization, 5Convex Polytopes, 17Convexity and Well-Posed Problems, 21Cooperative Stochastic Differential Games, 10Course in Calculus and Real Analysis, 6

Course in Derivative Securities, 27Course in Functional Analysis, 6Course in Number Theory and Cryptography, 24Cycle Representations of Markov Processes, 26

D

Derivative Securities and Difference Methods, 28Determining Spectra in Quantum Theory, 30Difference Equations, 14Differentiable Optimization and Equation Solving, 13Differential Forms in Algebraic Topology, 15Differential Geometry of Curves and Surfaces, 33Differential Geometry of Varieties with Degenerate Gauss Maps, 15Diffusion Processes and their Sample Paths, 26Diophantine Geometry, 6Discovering Mathematics with Magma, 11 Dualisability, 3Dynamic Control of Quality in Production- Inventory Systems, 10Dynamical Systems, 14

E

Easy as Pi?, 24Eigenvalues, Inequalities, and Ergodic Theory, 25Elementary Number Theory, 24Elements of Mathematics for Economics and Finance, 10Elements of Number Theory, 25Entire and Meromorphic Functions, 8Error-Correcting Linear Codes, 2Essential Mathematical Biology, 19Essential Wavelets for Data Analysis, 32Evolution Problem in General Relativity, 31Evolutionary Computation for Modeling and Optimization, 11Exercises in Modules and Rings, 3Extreme Financial Risks, 27

F

Feynman-Kac Formulae, 26Finite Model Theory, 20First Course in Differential Equations, 14First Course in Noncommutative Rings, 3Foundations of Differentiable Manifolds and Lie Groups, 18Foundations of Hyperbolic Manifolds, 18Four-Color Theorem, 17Fourier Analysis and Its Applications, 8Free Energy and Self-Interacting Particles, 33From Stochastic Calculus to Mathematical Finance, 26Front Tracking for Hyperbolic Conservation Laws, 9Frontiers in Number Theory, Physics, and Geometry I, 23Functional Equations and How to Solve Them, 14Functions of One Complex Variable I, 6

G

Galileo Galilei - When the World Stood Still, 22Galois Theory, 4Gaussian Self-Affinity and Fractals, 18Geometric Function Theory, 31Geometric Numerical Integration, 12Geometric Phases in Classical and Quantum Mechanics, 29Geometry, 17Graph Theory, 24Graphs and Applications, 23Grobner Deformations of Hypergeometric Differential Equations, 8

H

Handbook of Mathematics and Computational Science, 21Hankel Operators and Their Applications, 8Hardy Operators, Function Spaces and Embeddings, 6Harmonic Analysis, Signal Processing, and Complexity, 33Heavy Traffic Analysis of Controlled Queueing and Communication Networks, 26Higher-Dimensional Algebraic Geometry, 16Hilbert Space Operators, 31History of Approximation Theory, 33Homogenization of Partial Differential Equations, 32Hyperbolic Geometry, 15

I

Ideals and Reality, 2Integers, Polynomials, and Rings, 2Integral Closure, 4Interfacial Convection in Multilayer Systems, 10Introduction to Analytic Number Theory, 23Introduction to Difference Equations, 14Introduction to Infinite-Dimensional Analysis, 25Introduction to Lie Algebras and Representation Theory, 2Introduction to Number Theory, 24Introduction to Optimization, 22Introduction to Scientific Computing, 12Introduction to Smooth Manifolds, 17Introduction to Stochastic Integration, 26Introduction to the Mathematics of Finance, 28Introduction to the Mathematics of Money, 27Introduction to Topological Manifolds, 17Intuitive Combinatorial Topology, 15Invitation to 3-D Vision, 10

K

Killer Cell Dynamics, 19

L

Lagrangian Probability Distributions, 29Lie Algebras and Algebraic Groups, 4

36

Title Index To Order: visit your local participating bookstore (see p. 1)

Lie Groups, 2Linear Algebra, 3Linear and Nonlinear Programming, 21Linear Optimization Problems with Inexact Data, 20Linear Representations of Finite Groups, 4Little Book of Bigger Primes, 25Local Algebra, 4

M

M.C.Escher’s Legacy, 18MacLaurin’s Physical Dissertations, 23Managing Mathematical Projects - with Success!, 20Martingale Methods in Financial Modelling, 28Mathematical Biology I, 19Mathematical Biology II, 19Mathematical Computing, 11Mathematical Events of the Twentieth Century, 19Mathematical Logic, 20Mathematical Methods in Robust Control of Linear Stochastic Systems, 9Mathematical Methods of Classical Mechanics, 5Mathematical Modeling for the Life Sciences, 9Mathematical Population Genetics, 9Mathematical Problems in Image Processing, 13Mathematical Survey Lectures 1943-2004, 16Mathematical Vistas, 21Mathematics and Culture IV, 12Mathematics Handbook for Science and Engineering, 22Mathematics of Financial Markets, 27Methods and Applications of Singular Perturbations, 15Methods of Mathematical Finance, 27Metric Spaces, 8Microflows and Nanoflows, 13Model Theory: An Introduction, 22Modeling and Simulation in Medicine and the Life Sciences, 19Modeling and Simulation in Scilab/Scicos, 11Modelling Extremal Events for Insurance and Finance, 27

Modern Cryptography, Probalistic Proofs and Pseudorandomness, 24Modern Graph Theory, 23Modular Forms and Fermat’s Last Theorem, 23Most Honourable Remembrance, 20Multimedia Tools for Communicating Mathematics, 11Multiparameter Processes, 26Multivariate Calculus and Mathematica, 6

N

Naive Set Theory, 21NIELS HENRIK ABEL and his Times, 22Nonlinear Dynamics and Statistics, 32Nonlinear Integer Programming, 21Nonlinear Partial Differential Equations for Scientists and Engineers, 30Notes on Set Theory, 22Number Theory: A, 23Number Theory: B, 23Numerical Mathematics, 13Numerical Techniques for Chemical and Biological Engineers Using MATLAB, 12

O

Optimization of Elliptic Systems, 22Orbit Method in Geometry and Physics, 30

P

P-adic Deterministic and Random Dynamics, 2Perturbations of Positive Semigroups with Applications, 9Physical Combinatorics, 31Point Process Theory and Applications, 31Polynomials, 5Postmodern Analysis, 7Prandtl’s Essentials of Fluid Mechanics, 10Prime Numbers, 24Probability and Partial Differential Equations in Modern Applied Mathematics, 15Problems and Theorems in Classical Set Theory, 21Projective Geometry, 16

Q

Qualitative Theory of Planar Differential Systems, 14

R

Random Heterogeneous Materials, 27Random Perturbation Methods with Applications in Science and Engineering, 26Reading, Writing, and Proving, 19Real Analysis, 7Recent Advances in Algorithmic Combinatorics, 25Reflection Groups and Invariant Theory, 7Research Problems in Discrete Geometry, 15Riemannian Geometry, 18Risk and Asset Allocation, 28

S

Second Year Calculus, 5Selected Topics in Convex Geometry, 32Self-Dual Codes and Invariant Theory, 3Shaping of Arithmetic after C.F. Gauss’s Disquisitiones Arithmeticae, 24Shock Wave Interactions in General Relativity, 9Short Calculus, 7Short Course on Operator Semigroups, 6Short Course on Spectral Theory, 5Singular Loci of Schubert Varieties, 29Singular Sets of Minimizers for the Mumford- Shah Functional, 29Small Viscosity and Boundary Layer Methods, 32Solitons in Field Theory and Nonlinear Analysis, 8Sphere Packings, 25State Spaces of Operator Algebras, 29Stochastic Calculus for Finance I, 28Stochastic Dynamics, 25Stochastic Numerics for the Boltzmann Equation, 13Supersymmetry and Equivariant de Rham Theory, 17Survey on Diophantine Geometry, 25

T

Tales of Mathematicians and Physicists, 20Techniques of Constructive Analysis, 19Theoretical Numerical Analysis, 5Theory of Chaotic Attractors, 14Time--Frequency and Time--Scale Methods, 31Tools for Computational Finance, 28Topological Picturebook, 16Topology and Geometry, 16Transport Modeling in Hydrogeochemical Systems, 10Tree Lattices, 29Triangulations and Applications, 12Turnpike Properties in the Calculus of Variations and Optimal Control, 23Tutorials on Multiresolution in Geometric Modelling, 12

U

Uncertain Volatility Models - Theory and Application, 27Unity of Mathematics, 30Using Algebraic Geometry, 16

V

Variational and Potential Methods for a Class of Linear Hyperbolic Evolutionary Processes, 6Variational Methods in Shape Optimization Problems, 29Visualization and Processing of Tensor Fields, 13

W

Weakly Connected Neural Networks, 7

Yellow Sale 2007Bookstore List Yellow Sale 2007

Participating BookstoresPlease visit your participating bookstore to examine the selection in Springer’s 2007 Yellow Sale.

The stores appearing within the shaded boxes or in boldface only are most likely to have a complete selection.

Stocks are limited and the dates during which stores are offering sale prices may vary.

Please remember that the sale ends December 31, 2007.

Offer good only in the Americas.

ALABAMA

AuburnAuburn University Bookstore1360 Haley Center334-844-1365www.aubookstore.com

ARIZonA

tucsonU of A BookstoreUniversity of Arizona1209 East University Avenue520-621-2814genbooks@email.arizona.eduwww.uofabookstores.com

CALIFoRnIA

BerkeleyCal Student StoreUniversity of CaliforniaBancroft at [email protected]

DavisUC Davis BookstoreUniversity of California DavisOne Shields Avenue530-752-2944 http://bookstore.ucdavis.edu [email protected]

IrvineUC Irvine Bookstore210-B Student [email protected]

Los AngelesUniversity BookstoreUniversity of Southern California 840 West Childs Way213-740-0066www.uscbookstore.com

San FranciscoStacey’s Bookstore 581 Market Street415-421-4687http://www.staceys.com

Santa BarbaraUCSB BookstoreUniversity Center805-893-3955generalbooks@bookstore.ucsb.eduwww.bookstore.ucsb.edu

StanfordStanford Bookstore519 Lasuen Mall 800-533-2670650-329-1217Stanford@bkstr.comwww.stanfordbookstore.com

SunnyvaleDigital Guru Bookshops546-3 Lawrence Expressway408-720-6150www.digitalguru.com

CoLoRADo

BoulderColorado Bookstore 1111 Broadway303-442-5051

CU BookstoreUniversity of Colorado303-492-6411http://cubooks.colorado.edu/

DenverAuraria Campus Bookstore900 Auraria ParkwayAt the Tivoli Student Union303-556-4286www.aurariabooks.com

DIStRICt oF CoLUMBIA

WashingtonReiter’s Scientific & Professi-onal Bookstore2021 K Street [email protected]

FLoRIDA

Coral GablesUniversity of Miami Book-storeUniversity of MiamiWhitten University Center305-284-4101

GainesvilleUniversity of Florida Book-storeBuilding 886 – Museum [email protected]

tallahasseeFlorida State Univ. BookstoreFlorida State UniversityParking Garage, Main Level850-644-2072

GeoRGIA

AthensU. of Georgia Bookstore 100 Baxter Street 706-542-3171

ILLInoIS

ChampaignIllini Union Bookstore809 South Wright [email protected]/

InDIAnA

notre DameThe Hammes Notre Dame Bookstore Notre Dame UniversityBookstore Building574-631-6316

West LafayetteFollett’s Purdue-West Bookstore 1400 West State Street765-743-9642

IoWA

Iowa CityIowa Book & Supply8 South [email protected]

MASSACHUSettS

CambridgeQuantum Books 4 Cambridge [email protected]

MICHIGAn

Ann ArborUlrich’s Bookstore549 East University [email protected]

37

ABCD springer.com

Yellow Sale 2007Includes the Birkhäuser Green Sale Participating bookstores listed inside.

Big Savings on 250 excellent titles spanning the spectrum of Mathematics!

Sale prices valid only in the Americas and expire December 31, 2007.

ABCD233 Spring Street New York, NY 10013

M1329Z

Yellow Sale 2007Big Savings on 250 excellent titles spanning the spectrum of Mathematics!ContentSAlgebra .............................................................2

Analysis.............................................................4

Applications .....................................................9

Computational Science & engineering ........11

Dynamical Systems & Differential equations ...13

Geometry & topology ...................................15

Mathematical Biology ...................................19

Mathematics, General ...................................19

number theory & Combinatorics .................23

Probability theory .........................................25

Quantatative Finance ....................................27

Birkhäuser GReen SALe .................................29

Index ...............................................................34

see contentsON BACK

Participating bookstores listed inside. Prices valid only in the Americas and expire December 31, 2007.

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