New York, NY 10013 Yellow Sale 2005 · Bookstore List Yellow Sale 2005 ALABAMA Auburn Auburn...

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Yellow Sale 2005Includes 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, 2005.

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Yellow Sale 2005Big Savings on 250 excellent titles spanning the spectrum of Mathematics!CONTENTSAlgebra .............................................................4

Analysis ..........................................................10

Applications ...................................................16

Computational Science & Engineering ........16

Dynamical Systems & Differential Equations 18

Geometry & Topology ...................................19

Mathematical Biology ...................................22

Mathematics, general ....................................23

Number Theory & Combinatorics .................26

Probability Theory .........................................30

Quantitative Finance .....................................31

Birkhäuser GREEN SALE .................................33

Index ...............................................................37

Order Form .....................................................39

see contentsON BACK

Participating bookstores listed inside. Prices valid only in the Americas and expire December 31, 2005.

Bookstore List Yellow Sale 2005

ALABAMAAuburnAuburn University Bookstore 1360 Haley Center334-844-1365 www.aubookstore.com

HuntsvilleUniv. Alabama BookstoreUniv. Alabama HuntsvilleUniversity Center256-824-6600

TuscaloosaUniversity Supply Store Ferguson CenterU. of Alabama, Tuscaloosa800-825-6802205-348-6126 www.alabamasupplystore.com

ARIZONATucsonU of A BookstoreUniversity of Arizona1209 East University Avenue520-621-2814www.uofabookstores.com

CALIFORNIABerkeleyCal Student StoreUniversity of California Bancroft at Telegraph [email protected]

Cody’s Books2454 Telegraph [email protected]

IrvineUC Irvine Bookstore 210-B Student [email protected]

La JollaUCSD Bookstore9500 Gillman Drive800-520-7323www.bookstore.ucsd.edu

Los Angeles

University BookstoreUniversity of Southern California 840 West Childs Way213-740-9030www-bookstore.usc.edu/

Palo AltoStanford Bookstore135 University Avenue800-673-2348650-614-0280www.stanfordbookstore.com

San FranciscoStacey’s Bookstore581 Market [email protected]

Santa Barbara

UCSB Bookstore University Center805-893-3955www.bookstore.ucsb.edu

StanfordStanford BookstoreWhite Plaza 800-533-2670650-329-1217bookorders@bookstore.stanford.orgwww.stanfordbookstore.com

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

COLORADOBoulderColorado Bookstore1111 Broadway303-442-5051www.colorado.bkstore.com

CU BookstoreUniversity of Colorado36 [email protected]

Fort CollinsColorado State University BookstoreLory Student Center970-491-0546www.bookstore.colostate.edu

GoldenCSM BookstoreColorado School of Mines1600 Maple Street [email protected]

CONNECTICUTNew HavenBarnes & NobleYale Bookstore77 [email protected]

StorrsUConn CoopUniversity of Connecticut2075 Hillside Road, Unit 10191-800-U-READ-IT860-486-3537www.bookstore.uconn.edu

DISTRICT OF COLUMBIAWashingtonReiter’s Scientific & Professional Bookstore2021 K Street [email protected]

George Washington University BookstoreGeorge Washington University2110 I Street NW202-994-6870

FLORIDACoral GablesUniversity of Miami Bookstore University of MiamiWhitten University Center305-284-4101

GainesvilleUniv. os Florida BookstoreBuilding 886-Museum Road [email protected]

OrlandoBarnes & NobleUniversity Central Florida Bookstore4000 Central Florida [email protected]

TallahasseeFlorida State Univ. Bookstore Florida State University Parking Garage, Main Level850-644-2072

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

AtlantaGeorgia Tech. Bookstore 48 5th Street NW404-894-2515

IDAHOPocatelloUniversity BookstoreIdaho State UniversityPond Student Union Building208-282-3237

ILLINOISChampaign

Illini Union Bookstore 809 South Wright [email protected]/

ChicagoBarnes & NobleUniversity of Chicago970 East 58th [email protected]

Barnes & NobleDePaul University Bookstore1 East Jackson [email protected]

UIC BookstoreUniversity of Illinois, Chicago750 S. Halstead Street312-413-5500www.uicbookstore.org

INDIANABloomingtonIndiana University Bookstore Indiana Memorial Union800-553-6471812-855-8487www.iubookstore.com

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

IOWAAmesIowa State University BookstoreMemorial [email protected]

Iowa City

Iowa Book & Supply8 South [email protected]

KENTUCKYLexingtonKennedy Bookstore405 S. Limestone [email protected]

LOUISIANABaton RougeBarnes & NobleLSU BookstoreStudent Union [email protected]

MARYLANDBaltimoreBarnes & Noble Johns Hopkins Univ. Bookstore34th & Charles [email protected]

College ParkBarnes & Noble Univ. Maryland Bookstore @ College Park Stamp Student Union301-314-2665

MASSACHUSETTSAmherstFollett U of Massachusetts Bookstore Campus Center413-545-2619

BostonBarnes & Noble Boston University Bookstore660 Beacon [email protected]

CambridgeBarnes & NobleHarvard Coop 1400 Massachusetts [email protected]

Barnes & NobleMIT Coop @ Kendall Square3 Cambridge [email protected]

Quantum Books 4 Cambridge [email protected]

WalthamQuantum Books75 3rd [email protected]

MICHIGANAnn ArborUlrich’s Bookstore549 East University [email protected]

Participating BookstoresPlease visit your participating bookstore to examine the selection in Springer’s 2005 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, 2005.

Offer good only in the Americas.

Bookstore ListYellow Sale 2005

DetroitBarnes & NobleWayne State University82 West [email protected]

East LansingMSU Spartan Bookstore Michigan State UniversityInternational [email protected]

MINNESOTAMinneapolisUniversity of Minnesota BookstoreCoffman Memorial Union300 Washington Avenue, South East612-626-1896www.bookstore.umn.edu

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

NEBRASKALincolnUniversity BookstoreUniv. Nebraska, Lincoln1820 “R” Street402-472-7300

NEW HAMPSHIREHanoverDartmouth Bookstore33 South Main Street603-643-3616

NEW JERSEYNew BrunswickRutgers BookstoreRutgers UniversityOne Penn Plaza – Ferren Mall732-246-8448

Princeton

Princeton University Store 36 University Place800-631-0137609-921-8500mailorder@pustore.comwww.pustore.com

NEW MEXICOAlbuquerqueUNM Bookstore Central & [email protected]

NEW YORKBuffalo University Bookstore SUNY at Buffalo-North Campus200 Lee Entrance716-645-3131

IthacaCornell University Bookstore Cornell University607-255-4111www.store.cornell.edu/

New YorkBarnes & Noble105 Fifth Avenue212-807-0099b&[email protected]

Barnes & NobleColumbia UniversityLerner Hall2920 Broadway @ 115th [email protected]

PostdamBarnes & NobleClarkson University Bookstore39 Market [email protected]

RochesterUniversity of Rochester BookstoreFredrick Douglas [email protected]

TroyRensselaer Union Bookstore 15th Street & Sage [email protected]://bookstore.rpi.edu/

NORTH CAROLINABooneAppalachian State Univ. Bookstore219 College Street828-262-3070www.bookstore.appstate.edu

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

NORTH DAKOTAGrand ForksBarnes & NobleUniversity North Dakota Bookstore775 Hamline Street701-777-2746http://und.bkstore.com

OHIOColumbusOhio State Univ. Bookstore 2009 Milliken [email protected]://ohiostate.bkstore.com

OSU Bookstore, Gateway High Street & 15th Avenue614-247-2000

KentUniversity BookstoreKent State UniversityKent Student Bldg., Room 124330-672-2762

OKLAHOMANormanUniversity of Oklahoma Bookstore1185 Asp [email protected]

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

PENNSYLVANIABethlehemBarnes & NobleLehigh University BookstoreMaginnes Hall9 West Packer [email protected]

PhiladelphiaBarnes & NobleU of Pennsylvania Bookstore3601 Walnut [email protected]

Pittsburgh

Book CenterUniversity of Pittsburgh4000 Fifth [email protected]

University ParkBarnes & NoblePenn State University BookstoreBookstore [email protected]

West ChesterChester County Books 975 Paoli PikeWest Goshen [email protected]/

RHODE ISLANDProvidenceBrown University Bookstore 71 Olive [email protected]://bookstore.brown.edu

TENNESSEEKnoxvilleUniversity of Tennessee Book & Supply StoreUniversity Center5723 Middlebrook Pike865-974-1054www.utbookstore.org

NashvilleVanderbilt University BookstoreRand Hall615-322-2994

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

DentonUNT BookstoreU. of North Texas StateUniversity Station940-565-2592

College StationBarnes & NobleTexas A&M BookstoreMemorial Student [email protected]

DallasSMU Bookstore3060 Mockingbird Lane [email protected]@bn.college.com

LubbockBarnes & NobleTexas Tech Bookstore15th Street @ [email protected]

RichardsonUniv. Texas Bookstore Univ. Texas, Dallas2601 North [email protected]

UTAHLoganUtah State Univ. Bookstore Utah State University 435-797-1666www.bookstore.usu.edu

VIRGINIACharlottesvilleUniv. Virginia Bookstore 400 South [email protected]

WISCONSINMadisonUniversity Bookstore711 State [email protected]

CANADAALBERTACalgaryUniversity of Calgary BookstoreMacEwan Student Centre, Room 1552500 University Drive, NW403-220-5937

EdmontonUniversity of Alberta Bookstore166 Student’s Union Building89th Avenue and 114th Street780-492-4215www.bookstore.ualberta.ca

BRITISH COLUMBIAVancouverUniv. British Columbia Bookstore6200 University Boulevard604-822-2665

MANITOBAWinnipegUniversity of Manitoba Bookstore140 University Centre204-474-8321

ONTARIOHamiltonMcMaster University Bookstore1280 Main Street West905-529-7070 ext. [email protected]://titles.mcmaster.ca

LondonUniversity Western Ontario BookstoreUniversity Community Centre, Lower [email protected]

OttawaUniversity of Ottawa Bookstore 85 University [email protected]

Toronto

Univ. of Toronto Bookstore 214 College [email protected]://www.uoftbookstore.com

Waterloo

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

WindsorUniversity of Windsor401 Sunset Avenue(Corner of Wyandotte St. W. & California Ave.)519-973-7018www.bookstore.uwindsor.ca

QUEBECMontrealMcGill Univ. Bookstore 3420 McTavish Street514-398-7444

Algebra

V. Arnold, Steklov Mathematical Institute, Moscow, Russia; V. Goryunov, The University of Liverpool , UK; O. Lyashko, Airforce Engineering Academy, Moscow, Russia; V. Vasil‘ev, Steklov Mathematical Institute, Moscow, Russia

Singularity Theory“... The authors offer here an up to date guide to the topic and its main applications, including a number of new results. It is very convenient for the reader, a carefully prepared and extensive bibliography ... makes it easy to find the necessary details when needed. The books (EMS 6 and EMS 39) describe a lot of interesting topics. ... Both volumes are a very valuable addition to the library of any mathematician or physicist interested in modern mathematical analysis.” European Mathematical Society Newsletter, 1994

1st ed. 1993. 2nd printing 1998. V, 245 pp. 55 figs. Softcover. ISBN 3-540-63711-7 $69.95 Sale price $44.50

T. Aubin

Nonlinear Analysis on Manifolds, Monge-Ampere Equations

1982. XII, 204 pages. (Grundlehren der mathematischen Wissenschaften, Volume 252) Hardcover. ISBN 0-387-90704-1 $115.00 Sale price $69.50

S. Axler, San Francisco State University, CA, USA

Linear Algebra Done Right“This second edition of an almost determinant-free, none the less remarkably far-reaching and didactically masterly undergraduate text on linear algebra has undergone some substantial improvements. First of all, the sections on selfadjoint operators, normal operators, and the spectral theorem have been rewritten, methodically rearranged, and thus evidently simplified. Secondly, the section on orthogonal projections on inner-product spaces has been extended by taking up the application to minimization problems in geometry and analysis. Furthermore, several proofs have been simplified, and incidentally made more general and elegant (e.g., the proof of the trigonalizability of operators

on finite-dimensional complex vector spaces, or the proof of the existence of a Jordan normal form for a nilpotent operator). Finally, apart from many other minor improvements and corrections throughout the entire text, several new examples and new exercises have been worked in. However, no mitigation has been granted to determinants. Altogether, with the present second edition of his text, the author has succeeded to make this an even better book.” ZENTRALBLATT MATH

2nd ed. 1997. Corr. 7th printing 2004. XV, 251 p. (Undergraduate Texts in Mathematics) Softcover. ISBN 0-387-98258-2 $39.95 Sale price $29.50

A. F. Beardon, University of Cambridge, UK

The Geometry of Discrete GroupsThis text is about the geometric theory of discrete groups and the associated tesselations of the underlying space. The theory of Möbius transformations in n-dimensional Euclidean space is developed. These transformations are discussed as isometries of hyperbolic space and are then identified with the elementary transformations of complex analysis. A detailed account of analytic hyperbolic trigonometry is given, and this forms the basis of the subsequent analysis of tesselations of the hyperbolic plane. Emphasis is placed on the geometrical aspects of the subject and on the universal constraints which must be satisfied by all tesselations.

1st ed. 1983. Corr. 2nd printing 1995. XII, 337 pages. 93 figs. (Graduate Texts in Mathematics, Volume 91) Hardcover. ISBN 0-387-90788-2 $69.95 Sale price $49.50

A. Ben-Israel, Rutgers University, Piscataway, NJ, USA; T. N. Greville

Generalized InversesTheory and Applications

The field of generalized inverses has grown much since the appearance of the first edition in 1974, and is still growing. This book accounts for these developments while maintaining the informal and leisurely style of the first edition. New material has been added, including a chapter on applications, an appendix on the work of E.H. Moore, new exercises and applications.

2nd ed. 2003. XV, 420 p. 1 illus. (CMS Books in Mathematics) Hardcover. ISBN 0-387-00293-6 $69.95 Sale price $49.50

T. Blyth, E. Robertson, University of St. Andrews, Fife, UK

Basic Linear Algebra“It embodies a beautiful, concise and precise treatment of the subject, with succint numerical and algebra worked examples at the right points... an excellent textbook which is also eminently suitable for self-study...” ZENTRALBLATT MATH

2nd ed. 2002. XI, 232 p. (Springer Undergraduate Mathematics Series) Softcover. ISBN 1-85233-662-5 $39.95 Sale price $29.50

N. Bourbaki, Paris, France

Elements of MathematicsLie Groups and Lie Algebras: Chapters 7-9

This is the English translation of Bourbakiz’s text Groupes et Algèbres de Lie, Chapters 7 to 9. It completes the previously published translations of Chapters 1 to 3 (3-540-64242-0) and 4 to 6 (3-540-42650-7) by covering the structure and representa-tion theory of semi-simple Lie algebras and compact Lie groups. The nine chapters together form the most comprehensive text available on the theory of Lie groups and Lie algebras.

2005. XI, 434 p. Hardcover, ISBN 3-540-43405-4 $129.00 Sale price $79.50

K. S. Brown, Cornell University, Ithaca, NY, USA

BuildingsThis book gives an introduction to Jacques Tit’s theory of buildings, a subject in which there is a rich interplay between group theory and geometry. The book starts from scratch, with a discussion of finite reflection groups, and takes the reader to the literature on buildings. The prerequisites are kept to a minimum, and careful attention is paid to motivating new concepts that are introduced. The book should be accessible to any mathematics graduate student who knows very little group theory and topology.

1st ed. 1989. 3rd printing 2000. VIII, 215 p. 22 illus. (Springer Monographs in Mathematics) Hardcover. ISBN 0-387-98624-3 $59.95 Sale price $44.50

4

Algebra To Order: springeronline.com/yellowsale 1-800-SPRINGER

D. Bump, Stanford University, CA, USA

Lie Groups“...This book is a nice and rich introduction to the beautiful theory of Lie groups and its connection to many other areas of mathematics.” MATHEMATICAL REVIEWS

2004. XI, 451 p. 50 illus. (Graduate Texts in Math-ematics, Volume 225) Hardcover. ISBN 0-387-21154-3 $59.95 Sale price $49.50

O. Zariski, P. Samuel

Commutative Algebra I

1st ed. 1958. Corr. 2nd printing 1975. XI, 329 pp. (Graduate Texts in Mathematics, Volume 28) Hardcover. ISBN 0-387-90089-6 $69.95 Sale price $44.50

C. W. Curtis, University of Oregon, Eugene, OR, USA

Linear AlgebraAn Introductory Approach

“This book is an important addition to the literature of linear algebra. It would be a pleasure to use it for a one-semester or two-quarter course intended for serious (and talented) students. This book deserves to be as influential with the current generation of mathematics students as was Halmos’ Finite-Dimensional Vector Spaces with this reviewer’s generation, 45 years ago.” MATHEMATICAL REVIEWS

4th ed. 1984. Corr. 7th printing 1999. X, 347 p. 37 illus. (Undergraduate Texts in Mathematics) Hardcover. ISBN 0-387-90992-3 $54.95 Sale price $39.50

D. Eisenbud, University of California, Berkeley, CA, USA

Commutative Algebrawith a View Toward Algebraic Geometry

“This text has personality—Those familiar with Eisenbud’s own research will recognize its traces in his choice of topics and manner of approach. The book conveys infectious enthusiasm and the conviction that research in the field is active and yet accessible.” MATHEMATICAL REVIEWS

1st ed. 1995. Corr. 3rd printing 1999. XVI, 797 p. 90 illus. (Graduate Texts in Mathematics, Volume 150) Softcover. ISBN 0-387-94269-6 $49.95 Sale price $34.50

D. Eisenbud, Mathematical Sciences Research Institute, Berkeley, CA, USA

The Geometry of SyzygiesA Second Course in Commutative Algebra and Algebraic Geometry

“...The book is beautifully organized and beautifully written, and belongs on the bookshelf of any algebraic geometer or commutative algebraist. In discussing the brevity of the last chapter, the author remarks that “it‘s clear that another book will have to be written some day.” One can only hope that this author is the one who writes it!” MATHEMATICAL REVIEWS

2005. XVI, 243 p. 27 illus. (Graduate Texts in Math-ematics, Volume 229) Hardcover. ISBN 0-387-22215-4 $69.95 Sale price $49.50

L. Euler

Elements of Algebra“This is a facsimile reprint of John Hewlett‘s 1840 translation of Euler‘s Algebra and Lagrange‘s Additions thereto. Most of Euler‘s contribution is elementary, nothing more advanced than solving quartic equations, but worth having in order to appreciate his leisurely and effective style---would that more great mathematicians wrote so well and to such pedagogic effect. However, one third of the book is his lucid treatment of questions in number theory, and it is this material that drew Lagrange‘s comments. Here for the first time are the rigorous treatments of continued fractions and “Pell’s” equation, and of quadratic forms. The combination of Euler‘s and Lagrange‘s tests, of experimental and theoretical research in Weil‘s description, is justly celebrated by the editors of Euler‘s Opera omnia, who print the two together, and it is good to see this classic back in print in English. Every library without much Euler should at least have this volume. It is accompanied by an excerpt of Horner‘s memoir on the life of Euler, and a eulogy by Truesdell, with a useful bibliography.” MATHEMATICAL REVIEWS

Reprint of the 5th edition Longman, Orme, and Co., London 1840. 1984. LX, 593 pp. Hardcover. ISBN 0-387-96014-7 $69.95 Sale price $44.50

G. Faltings, Princeton University, Princeton, NJ, USA; C. Chai, University of Pennsylvania, Philadelphia, PA, USA

Degeneration of Abelian VarietiesThis book presents a complete treatment of semi-abelian degenerations of abelian varieties, and their application to the construction of

arithmetic compactifications of Siegel moduli space. Most results are new and have never been published before. Highlights of the book include a classification of semi-abelian schemes, construction of the toroidal and the minimal compactification over the integers, heights for abelian varieties over number fields, and Eichler integrals in several variables. The book also provides a new approach to Siegel modular forms. This work should serve as a valuable reference source for researchers and graduate students interested in algebraic geometry, Shimura varieties, or diophantine geometry.

1990. XII, 316 pp. (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, Volume 22) Hardcover. ISBN 3-540-52015-5 $84.95 Sale price $59.50

W. Fulton, University of Michigan, Ann Arbor, MI, USA

Intersection TheoryReview of 1st Edition: “...This text, with its brilliant content and excellently arranged, is a prime mover in algebraic geometry, and a must for each algebraic geometer! It is an indispensable reference book, an outstanding textbook, and a great source for geometric research in the future.” MATHEMATICAL REVIEWS

2nd ed. 1998. XIII, 470 p. Softcover. ISBN 0-387-98549-2 $49.95 Sale price $39.50

W. Fulton, University of Michigan, Ann Arbor, MI, USA; J. Harris, Harvard University, Cambridge, MA, USA

Representation TheoryA First Course

The primary goal of these lectures is to introduce a beginner to the finite-dimensional representa-tions of Lie groups and Lie algebras. Intended to serve non-specialists, the concentration of the text is on examples. The general theory is developed sparingly, and then mainly as useful and unifying language to describe phenomena already encountered in concrete cases.

1st ed. 1991. Corr. 5th printing 1999. XV, 551 p. 144 illus. (Graduate Texts in Mathematics / Read-ings in Mathematics, Volume 129) Softcover. ISBN 0-387-97495-4 $49.95 Sale price $34.50

AlgebraSee full descriptions at springeronline.com/yellowsale

5

S. I. Gelfand, American Mathematical Society, Providence, RI, USA; Y. I. Manin, Max-Planck-Institut für Mathematik, Bonn, Germany

Methods of Homological AlgebraThis modern approach to homological algebra, by two leading writers in the field, is based on the systematic use of the language and ideas of derived categories and derived functors. Relations with standard cohomology theory (sheaf cohomology, spectral sequences, etc.) are described. In most cases complete proofs are given. Basic concepts and results of homotopical algebra are also presented. The book addresses people who want to learn a modern approach to homological algebra and to use it in their work. For the second edition the authors have made numerous corrections.

2nd ed. 2003. XX, 370 p. 3 illus. (Springer Mono-graphs in Mathematics) Hardcover. ISBN 3-540-43583-2 $101.00 Sale price $69.50

J. Golan, Dept. of Mathematics, University of Haifa, Israel

The Linear Algebra a Beginning Graduate Student Ought to KnowThe book is self-contained to the extent that it does not assume any previous knowledge of linear algebra. It does, however, assume a seriousness of purpose and modicum of mathematical sophistica-tion on the part of the reader. There are almost 1000 exercises, many of them very challenging.

2004. 406 p. (Texts in the Mathematical Sciences, Volume 27) Hardcover. ISBN 1-4020-1824-X $132.00 Sale price 7 $69.50

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

Algebraic Functions and Projective Curves“This is a well-written book, which will quickly give the reader access to the theory of projective algebraic curves. The author manages to convey a very good amount of information on this subject, and there‘s also a lot of results on function fields. The treatment given to the theory of Weierstrass points, in which the ground field may have any characteristic, will certainly be remembered by the reader, even after he/she has studied the subject with the machinery offered by the scheme language. It is the opinion of this reviewer that

this book is a fine contribution to a first study of algebraic functions and projective curves.” MATHEMATICAL REVIEWS

2003. XIX, 179 p. (Graduate Texts in Mathematics, Volume 215) Hardcover. ISBN 0-387-95432-5 $49.95 Sale price $39.50

J. Harris, Harvard University, Cambridge, MA, USA

Algebraic GeometryA First Course

“This book succeeds brilliantly by concentrating on a number of core topics (the rational normal curve, Veronese and Segre maps, quadrics, projections, Grassmannians, scrolls, Fano varieties, etc.) and by treating them in a hugely rich and varied way. The author ensures that the reader will learn a large amount of classical material and perhaps more importantly, will also learn that there is no one approach to the subject. The essence lies in the range and interplay of possible approaches. The author is to be congratu-lated on a work of deep and enthusiastic scholarship.” MATHEMATICAL REVIEWS

1st ed. 1992. Corr. 3rd printing 1995. XIX, 328 pp. 83 figs. (Graduate Texts in Mathematics, Volume 133) Hardcover. ISBN 0-387-97716-3 $52.95 Sale price $49.50

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

Algebraic Geometry“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.” MATHEMATICAL REVIEWS

1st ed. 1977. Corr. 8th printing 1997. XVI, 496 pp. 25 illus. (Graduate Texts in Mathematics, Volume 52) Hardcover. ISBN 0-387-90244-9 $69.95 Sale price $49.50

T. Hawkins, University of Boston, MA, USA

Emergence of the Theory of Lie GroupsAn Essay in the History of Mathematics 1869-1926

“....this study is just as clearly a stunning achievement. Few historians of mathematics have

made a serious attempt to cross the bridge joining the nineteenth and twentieth centuries, and those who have made the journey have tended to avert their eyes from the mainstream traffic....the single greatest merit of Hawkins‘ book is that the author tries to place the reader in the middle of the action, offering a close up look at how mathematics gets made...Hawkins‘ account of this strange but wonderful saga resurrects a heroic chapter in the history of mathematics. For anyone with a serious interest in the rich background developments that led to modern Lie theory, this book should be browsed, read, savored, and read again.” Notices of the AMS

2000. XIII, 564 p. 50 illus. (Sources and Studies in the History of Mathematics and Physical Sciences) Hardcover. ISBN 0-387-98963-3 $84.95 Sale price $59.50

P. J. Hilton, State University of New York, Bing-hamton, NY, USA; U. Stammbach, Swiss Federal Institute of Technology, Zurich, Switzerland

A Course in Homological AlgebraThis classic book provides a broad introduction to homological algebra, including a comprehen-sive set of exercises. Since publication of the first edition homological algebra has found a large number of applications in many different fields. Today, it is a truly indispensable tool in fields ranging from finite and infinite group theory to representation theory, number theory, algebraic topology and sheaf theory. In this new edition, the authors have selected a number of different topics and describe some of the main applica-tions and results to illustrate the range and depths of these developments. The background assumes little more than knowledge of the algebraic theories groups and of vector spaces over a field.

2nd ed. 1997. X, 364 pp. (Graduate Texts in Math-ematics, Volume 4) Hardcover. ISBN 0-387-94823-6 $69.95 Sale price $44.50

6


T. W. Hungerford, Cleveland State University, Cleveland, OH, USA

Algebra “An excellent text from which to teach the beginning graduate survey course in algebra and I would recommend it to anyone considering a text for such a course.” LINEAR AND MULTI-LINEAR ALGEBRA

1st ed. 1974. Corr. 5th printing 2003. XXIII, 502 pp. (Graduate Texts in Mathematics, Volume 73) Hardcover. ISBN 0-387-90518-9 $54.95 Sale price $39.50

D. Husemöller, Haverford College, Haverford, PA, USA

Elliptic CurvesThis book is an introduction to the theory of elliptic curves, ranging from its most elementary aspects to current research. The first part, which grew out of Tate‘s Haverford lectures, covers the elementary arithmetic theory of elliptic curves over the rationals. The next two chapters recast the arguments used in the proof of the Mordell theorem into the context of Galois cohomology and descent theory. This is followed by three chapters on the analytic theory of elliptic curves, including such topics as elliptic functions, theta functions, and modular functions. Next, the theory of endomorphisms and elliptic curves over infinite and local fields are discussed. The book concludes with three chapters surveying recent results in the arithmetic theory, especially those related to the conjecture of the Birch and Swinnerton-Dyer. This new edition contains three new chapters and the addition of two appendices by Stefan Theisen and Otto Forster.

2nd ed. 2004. XXI, 487 p. 42 illus. (Graduate Texts in Mathematics, Volume 111) Hardcover. ISBN 0-387-95490-2 $79.95 Sale price $54.50

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

Integers, Polynomials, and RingsA Course in Algebra

This introduction to modern algebra differs from texts in this area in fundamental ways. The author‘s primary goal is to have the reader learn to work with mathematics through reading, writing, speaking, and listening. The choice of content is important, but he regards it as a vehicle, not as an end in itself. It is the raw material through which the readers develop the ability to understand and communicate math-ematics. One non-standard feature of the book is that the author proves only a few of the theorems.

Most proofs are left as exercises, and these exercises can form the core of a course based on this book.

2004. XV, 284 p. (Undergraduate Texts in Math-ematics) Softcover. ISBN 0-387-20172-6 $39.95 Sale price $29.50

C. Kassel, Universite Louis Pasteur, Strasbourg, France

Quantum GroupsThis book provides an introduction to the theory of quantum groups with emphasis on the spectacular connections with knot theory and on Drinfeld‘s recent fundamental contributions. The first part presents in detail the quantum groups attached to SL2 as well as the basic concepts of the theory of Hopf algebras. Part Two focuses on Hopf algebras that produce solutions of the Yang-Baxter equation, and on Drinfeld‘s quantum double construction. In the following part we construct isotopy invariants of knots and links in the three-dimensional Euclidean space, using the language of tensor categories. The last part is an account of Drinfeld‘s elegant treatment of the monodromy of the Knizhnik-Zamolodchikov equations, culminating in the construction of Kontsevich‘s universal knot invariant.

1995. XII, 531 pp. 88 figs. (Graduate Texts in Math-ematics, Volume 155) Hardcover. ISBN 0-387-94370-6 $69.95 Sale price $44.50

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

Lectures on Modules and Rings“As in the previous book, the presentation is extremely clear and incisive and the exercises are both interesting and challenging. Without a doubt, the book could indeed serve as a textbook for a very good---though definitely formidable---graduate course in ring theory. The author is the first to admit, in his introduction, that he is far from having covered all of the interesting topics in noncommutative ring theory. Therefore, given the high level of presentation of the two books he has already published, one can only hope that a third volume will be in the offing, despite his “solemn pledge” to the contrary.” MATHEMATICAL REVIEWS

1999. XXIII, 557 p. 28 illus. (Graduate Texts in Mathematics, Volume 189) Hardcover. ISBN 0-387-98428-3 $69.95 Sale price $44.50

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

Algebra“Lang’s Algebra changed the way graduate algebra is taught, retaining classical topics but introducing language and ways of thinking from category theory and homological algebra. It has affected all subsequent graduate-level algebra books.” NOTICES OF THE AMS

“The author has an impressive knack for presenting the important and interesting ideas of algebra in just the ‘right’ way, and he never gets bogged down in the dry formalism which pervades some parts of algebra.” MATHEMATICAL REVIEWS

3rd rev. ed. 2002. Corr. 4th printing 2004. XV, 914 p. (Graduate Texts in Mathematics, Volume 211) Hardcover. ISBN 0-387-95385-X $74.95 Sale price $54.50


Linear AlgebraLinear Algebra is intended for a one-term course at the junior or senior level. It begins with an exposition of the basic theory of vector spaces and proceeds to explain the fundamental structure theorems for linear maps, including eigenvectors and eigenvalues, quadric and hermitian forms, diagonalization of symmetric, hermitian, and unitary linear maps and matrices, triangulation, and Jordan canonical form. The book 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, determinants, and linear maps. However, the book is logically self-contained. In this new edition, many parts of the book have been rewritten and reorganized, and new exercises have been added.

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


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R. Lazarsfeld, University of Michigan, Ann Arbor, MI, USA

Positivity in Algebraic Geometry IClassical Setting: Line Bundles and Linear Series

This two volume work on Positivity in Algebraic Geometry contains a contemporary account of a body of work in complex algebraic geometry loosely centered around the theme of positivity. Topics in Volume I include ample line bundles and linear series on a projective variety, the classical theorems of Lefschetz and Bertini and their modern outgrowths, vanishing theorems, and local positivity. A good deal of this material has not previously appeared in book form, and substantial parts are worked out here in detail for the first time.

2004. XVIII, 387 p. (A Series of Modern Surveys in Mathematics, Volume 48) Hardcover. ISBN 3-540-22533-1 $129.00 Sale price $79.50

W. Lück, University of Münster, Germany

L2-Invariants: Theory and Applications to Geometry and K-TheoryIn algebraic topology some classical invariants - such as Betti numbers and Reidemeister torsion - are defined for compact spaces and finite group actions. They can be generalized using von Neumann algebras and their traces, and applied also to non-compact spaces and infinite groups. These new L2-invariants contain very interesting and novel information and can be applied to problems arising in topology, K-Theory, differential geometry, non-commutative geometry and spectral theory. It is particularly these interactions with different fields that make L2-invariants very powerful and exciting. The book presents a comprehensive introduction to this area of research, as well as its most recent results and developments. It is written in a way which enables the reader to pick out a favourite topic and to find the result she or he is interested in quickly and without being forced to go through other material.

2002. XV, 595 p. (A Series of Modern Surveys in Mathematics, Volume 44) Hardcover. ISBN 3-540-43566-2 $159.00 Sale price $79.50

D. Mumford, Harvard University, Cambridge, MA, USA; J. Fogarty, University of Massachusetts, Amherst, MA, USA; F. Kirwan, Balliol College, Oxford, UK

Geometric Invariant TheoryGeometric Invariant Theory by Mumford/Fogarty (the first edition was published in 1965, a second, enlarged editon appeared in 1982) is the standard reference on applications of invariant theory to the construction of moduli spaces. This third, revised edition has been long awaited for by the mathematical community. It is now appearing in a completely updated and enlarged version with an additional chapter on the moment map by Prof. Frances Kirwan (Oxford) and a fully updated bibliography of work in this area. The book deals firstly with actions of algebraic groups on algebraic varieties, separating orbits by invariants and construction-quotient spaces; and secondly with applications of this theory to the construction of moduli spaces. It is a systematic exposition of the geometric aspects of the classical theory of polynomial invariants.

3rd enlarged ed. 1994. 2nd printing 2002. XIV, 294 pp. (Ergebnisse der Mathematik und ihrer Gren-zgebiete. 2. Folge, Volume 34) Hardcover. ISBN 3-540-56963-4 $169.00 Sale price $79.50

V. L. Popov, Steklov Mathematical Institute, Moscow, Russia

Algebraic Transformation Groups and Algebraic VarietiesProceedings of the conference Interesting Algebraic Varieties Arising in Algebraic Transformation Group Theory held at the Erwin Schrödinger Institute, Vienna, October 22-26, 2001

“... This book gives a good flavour of some current research in algebraic transofrmation groups and their applications...” B.Martin, Newsletter of the New Zealand Mathematical Society, No. 93, April 2005

2004. XII, 238 p. (Encyclopaedia of Mathematical Sciences, Volume 132) Hardcover. ISBN 3-540-20838-0 $109.00 Sale price $69.50

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

The Theory of Classical Valuations“It is well written, encyclopedic, and authoritative and probably belongs on the shelf of any commuta-

tive algebraist or algebraic number theorist.” MATHEMATICAL REVIEWS

1999. XI, 403 pp. (Springer Monographs in Math-ematics) Hardcover. ISBN 0-387-98525-5 $89.95 Sale price $59.50

J. Serre, Paris, France

Algebraic Groups and Class Fields

1st ed. 1988. Corr. 2nd printing 1997. IX, 207 p. 4 illus. (Graduate Texts in Mathematics, Volume 117) Hardcover. ISBN 0-387-96648-X $59.95 Sale price $44.50

J. Serre, College de France, Paris, France

Complex Semisimple Lie AlgebrasFrom the reviews of the French edition: “...the book is intended for those who have an acquaintance with the basic parts of the theory, namely, with those general theorems on Lie algebras which do not depend on the notion of Cartan subalgebra. The author begins with a summary of these general theorems and then discusses in detail the structure and representation theory of complex semisimple Lie algebras. One recognizes here a skillful ordering of the material, many simplifications of classical arguments and a new theorem describing fundamental relations between canonical generators of semisimple Lie algebras. The classical theory being thus intro-duced in such modern form, the reader can quickly reach the essence of the theory through the present book.” MATHEMATICAL REVIEWS

Reprint of the 1st ed. New York 1987. 2001. IX, 74 pp. (Springer Monographs in Mathematics) Hardcover. ISBN 3-540-67827-1 $44.95 Sale price $34.50

J. Serre, College de France, Paris, France

Galois CohomologyThis is an updated English translation of “Cohomologie Galoisienne”, published more than 30 years ago as one of the very first Lecture Notes in Mathematics (LNM 5). It includes a reproduction of an influential paper of R.

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Steinberg, together with some new material and an expanded bibliography.

1st ed. 1997. Corr. 2nd printing 2002. X, 210 pp. (Springer Monographs in Mathematics) Hard-cover. ISBN 3-540-42192-0 $56.95 Sale price $39.50

I. R. Shafarevich, Steklov Mathematical Institute, Moscow, Russia; M. Lorenz, Temple University, Philadelphia, PA, USA

Basic Algebraic Geometry 1Varieties in Projective Space

“To my best knowledge, only this book manages to describe so many advanced constructions while still being accessible for researchers outside the field of algebraic geometry. This book is indeed a tremendous achievement.” Newsletter on Computational and Applied Mathematics

2nd rev. and exp. ed. 1994. XX, 308 p. 21 illus. Softcover. ISBN 3-540-54812-2 $54.95 Sale price $39.50

I. R. Shafarevich, Steklov Mathematical Institute, Moscow, Russia

Basic Algebraic Geometry 2Schemes and Complex Manifolds

The second volume of Shafarevich‘s introductory book on algebraic varieties and complex manifolds. As with Volume 1, the author has revised the text and added new material, such as a section on real algebraic curves. Although the material is more advanced than in Volume 1 the algebraic apparatus is kept to a minimum, making the book accessible to non-specialists. It can be read independently of Volume 1 and is suitable for beginning graduate students in mathematics as well as those in theoretical physics.

2nd, rev. and exp. ed. 1st printing 1996. XV, 269 pp. 12 figs. Softcover. ISBN 3-540-57554-5 $69.95 Sale price $44.50

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

“This book is devoted to a combinatorial theory of three types of objects: (1) free groups, (2) polynomial algebras and free associative algebras, (3) free algebras of the so-called Nielsen-Schreier

varieties of algebras. It considers problems related mainly to the groups of automorphisms of these objects... The authors have done a lot of work to show that the same problems and the same ideas are the moving forces of the three theories. The book contains a good background on the classical results (most of them without proof) and a detailed exposition of the recent results. A large portion of the exposition is devoted to topics in which the authors have made their own contribu-tion.” MATHEMATICAL REVIEWS

2004. XII, 315 p. (CMS Books in Mathematics) Hardcover. ISBN 0-387-40562-3 $89.95 Sale price $59.50

J. H. Silverman, Brown University, Providence, RI, USA; J. Tate, University of Texas, Austin, TX, USA

Rational Points on Elliptic Curves

“The authors‘ goal has been to write a textbook in a technically difficult field which is accessible to the average undergraduate mathematics major, and it seems that they have succeeded admi-rably...” MATHEMATICAL REVIEWS

1st ed. 1992. Corr. 2nd printing 1994. X, 281 pp. 34 figs. (Undergraduate Texts in Mathematics) Hardcover. ISBN 0-387-97825-9 $39.95 Sale price $29.50

J. Stillwell, Monash University, Clayton, VIC, Australia

Classical Topology and Combinatorial Group TheoryThis is a well-balanced introduction to topology that stresses geometric aspects. Focusing on historical background and visual interpretation of results, it emphasizes spaces with few dimensions, where visualization is possible, and interaction with combinatorial group theory via the fundamental group. It also presents algorithms for topological problems. Most of the results and proofs are known, but some have been simplified or placed in a new perspective. Over 300 illustrations, many interesting exercises, and challenging open problems are included. New in this edition is a chapter on unsolvable problems, which includes the first textbook proof that the

main problem of topology, the homeomorphism problem, is unsolvable.

2nd ed. 1993. Corr. 2nd printing 1995. XII, 334 pp. 312 figs. (Graduate Texts in Mathematics, Volume 72) Hardcover. ISBN 0-387-97970-0 $69.95 Sale price $44.50

J. Stillwell, Monash University, Clayton, VIC, Australia

Elements of AlgebraGeometry, Numbers, Equations

“...The book is written in a very clear and pleasing style. Each of the 9 chapters of the book concludes with a section called “Discussions”, which contains very interesting and valuable historical informa-tion and comments on the topics presented in the respective chapter. We strongly recommend this nice volume not only to beginners but also to experts.” MATHEMATICAL REVIEWS

1st ed. 1994. Corr. 3rd printing 2001. XI, 181 pp. 34 illus. (Undergraduate Texts in Mathematics) Hardcover. ISBN 0-387-94290-4 $49.95 Sale price $39.50

G. J. Szekely, Technical University Budapest, Hungary (Ed.)

Contests in Higher MathematicsMiklos Schweitzer Competitions 1962-1991

The problems of the Schweitzer Contests are proposed and selected by the most prominent Hungarian mathematicians. This book collects the problems posed in the contests between 1962 and 1991 which range from algebra, combina-torics, theory of functions, geometry, measure theory, number theory, operator theory, probability theory, topology, to set theory. The second part contains the solutions. The Schweitzer competition is one of the most unique in the world. The experience shows that this competition helps to identify research talents. This collection of problems and solutions in several fields in mathematics can serve as a guide for many undergraduates and young mathemati-cians. The large variety of research level problems might be of interest for more mature mathemati-cians and historians of mathematics as well.

1996. VII, 569 pp. 39 figs. (Problem Books in Math-ematics) Hardcover. ISBN 0-387-94588-1 $69.95 Sale price $39.50


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O. Zariski

Algebraic Surfaces“…the classic text under review is still highly recommendable for reading, a linking piece between classical and modern algebraic geometry, and a timelessly beautiful pearl in the cultural heritage of mathematics as a whole. The present edition is an unchanged reprint of the second edition from 1971.” Zentralblatt MATH, 845

Reprint of the 2nd ed. 1971, 1995. XI, 270 p. (Clas-sics in Mathematics) Softcover. ISBN 3-540-58658-X $49.95 Sale price $34.50

Analysis

S. Antman, University of Maryland, College Park, MD, USA

Nonlinear Problems of ElasticityThis second edition is an enlarged, completely updated, and extensively revised version of the authoritative first edition.Review of the first edition: “The monograph is a masterpiece for writing a modern theoretical treatise on a field of natural sciences. It is highly recommended to all scientists, engineers and mathematicians interested in a careful treatment of uncompromised nonlinear problems of elasticity, and it is a ‘must‘ for applied mathematicians working on such problems.” L. v Wolfersdorf, (Zeitschrift fur Angewandte Mathematik und Mechanik), 1995

2nd ed. 2005. XVIII, 836 p. 110 illus. (Applied Mathematical Sciences, Volume 107) Hardcover. ISBN 0-387-20880-1 $89.95 Sale price $69.50

V. I. Arnol‘d, Steklov Mathematical Institute, Moscow, Russia, CIS

Catastrophe Theory“... There is probably no one else in the world who could have written this book. It remains an engrossing summary of a vast body of work which is one of the major achievements of twentieth-century mathematics.” MATHEMATICAL REVIEWS.

3rd, rev. and exp. ed. 1992. 2nd printing 2004. XIII, 150 p. 87 illus. Softcover. ISBN 3-540-54811-4 $42.95 Sale price $29.50

V. I. Arnol‘d, Steklov Mathematical Institute, Moscow, Russia

Ordinary Differential EquationsThere are dozens of books on ODEs, but none with the elegant geometric insight of Arnol’d‘s book. Arnol‘d puts a clear emphasis on the qualitative and geometric properties of ODEs and their solutions, rather than on the routine presentation of algorithms for solving special classes of equations.Of course, the reader learns how to solve equations, but with much more understanding of the systems, the solutions and the techniques.

1st ed. 1992. 2nd printing 1992. IV, 334 pp. 272 figs. (Springer Textbook) Softcover. ISBN 3-540-54813-0 $64.95 Sale price $39.50

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

Mathematical Methods of Classical Mechanics“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.” AMERICAN MATHEMATICAL MONTHLY

2nd ed. 1989. Corr. 4th printing 1997. XVI, 509 p. 269 illus. (Graduate Texts in Mathematics, Volume 60) Hardcover. ISBN 0-387-96890-3 $64.95 Sale price $44.50

V. Arnold, University of Moscow, USSR; M. Levi, Boston University, Boston, MA, USA (Eds.)

Geometrical Methods in the Theory of Ordinary Differential EquationsSince the first edition of this book, geometrical methods in the theory of ordinary differential equations have become very popular and some progress has been made partly with the help of computers. Much of this progress is represented in this revised, expanded edition, including such topics as the Feigenbaum universality of period doubling, the Zoladec solution, the

Iljashenko proof, the Ecalle and Voronin theory, the Varchenko and Hovanski theorems, and the Neistadt theory

2nd ed. 1988. 2nd printing 1997. XIII, 351 pp. 162 illus. (Grundlehren der mathematischen Wissen-schaften, Volume 250) Hardcover. ISBN 0-387-96649-8 $79.95 Sale price $49.50

S. Axler, San Francisco State University, San Fran-cisco, CA, USA; P. Bourdon, Washington and Lee University, Lexington, VA, USA; R. Wade, Berkeley, CA, USA

Harmonic Function TheoryThis is a book about harmonic functions in Euclidean space. Readers with a background in real and complex analysis at the beginning graduate level will feel comfortable with the material presented here. The authors have taken unusual care to motivate concepts and simplify proofs. The new edition contains a completely rewritten chapter on spherical harmonics, a new section on extensions of Bocher‘s Theorem, new exercises and proofs, as well as revisions throughout to improve the text. A unique software package-designed by the authors and available by e-mail - supplements the text for readers who wish to explore harmonic function theory on a computer.

2nd ed. 2001. X, 259 p. 6 illus. (Graduate Texts in Mathematics, Volume 137) Hardcover. ISBN 0-387-95218-7 $54.95 Sale price $39.50

R. Beals, Yale University, New Haven, CT, USA

Advanced Mathematical AnalysisPeriodic Functions and Distributions, Complex Analysis, Laplace Transform and Applications

1st ed. 1973. Corr. 2nd printing 1973. XI, 230 pages. (Graduate Texts in Mathematics, Volume 12) Hardcover. ISBN 0-387-90065-9 $54.95 Sale price $39.50

S. K. Berberian, University of Texas, Austin, TX, USA

Fundamentals of Real Analysis“This book is very well organized and clearly written and contains an adequate supply of exercises. If one is comfortable with the choice of

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Analysis To Order: springeronline.com/yellowsale 1-800-SPRINGER

topics in the book, it would be a good candidate for a text in a graduate real analysis course.” MATHEMATICAL REVIEWS

1999. XI, 479 p. 31 illus. (Universitext) Softcover. ISBN 0-387-98480-1 $64.95 Sale price $39.50

G. Bluman

Problem Book for First Year Calculus

1984. XV, 385 pp. 384 figs. (Problem Books in Mathematics) Hardcover. ISBN 0-387-90920-6 $74.95 Sale price $39.50

C. D. Boor, University of Wisconsin-Madison, Madison, WI, USA

A Practical Guide to Splines “This book is a classical reference in spline theory. It will be of great benefit to students as an introduction to the subject as well as to experts in the field.” MATHEMATICAL REVIEWS

1st ed. 1978. 1st hardcover printing 2001. XVIII, 346 pp. 32 figs. (Applied Mathematical Sciences, Volume 27) Hardcover. ISBN 0-387-95366-3 $69.95 Sale price $44.50

N. Bourbaki, Paris, France

Elements of MathematicsIntegration II. Chapters 7-9

Integration is the sixth and last of the books that form the core of the Bourbaki series; it draws abundantly on the preceding five Books, especially General Topology and Topological Vector Spaces, making it a culmination of the core six. The power of the tool thus fashioned is strikingly displayed in Chapter II of the author‘s Théories Spectrales, an exposition, in a mere 38 pages, of abstract harmonic analysis and the structure of locally compact abelian groups.

2004. VIII, 326 p. Hardcover. ISBN 3-540-20585-3 $129.00 Sale price $79.50

M. Braun, City University of New York, Flushing, NY, USA

Differential Equations and Their ApplicationsAn Introduction to Applied Mathematics

Used in undergraduate classrooms across the country, this book is a clearly written, rigorous introduction to differential equations and their applications. Fully understandable to students who have had one year of calculus, this book differentiates itself from other differential equations texts through its engaging application of the subject matter to interesting scenarios. This fourth edition incorporates earlier introductory material on bifurcation theory and adds a new chapter on Sturm-Liouville boundary value problems. Computer programs in C, Pascal, and Fortran are presented throughout the text to show the read how to apply differential equations towards quantitative problems.

4th ed. 1993. XVI, 578 p. 68 illus. (Texts in Applied Mathematics, Volume 11) Hardcover. ISBN 0-387-97894-1 $69.95 Sale price $44.50

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

Second Year CalculusFrom Celestial Mechanics to Special Relativity

This textbook covers multi-variable and vector calculus, emphasizing the historical physical problems which gave rise to the concepts of calculus. The exercises and observations of mathematical symmetry studied in the text enable the student to better understand the interaction of physics and mathematics.

1st ed. 1991. Corr. 4th printing 2001. XI, 400 pp. 98 illus. (Undergraduate Texts in Mathematics / Readings in Mathematics) Softcover. ISBN 0-387-97606-X $49.95 Sale price $34.50

P. Bullen, University of British Columbia, Vancouver, Canada

Handbook of Means and Their Inequalities“This book is indeed a handbook: it is hard to find a subfield of inequalities related to means that is not described in detail, or at least referred to. It is written in a language that can be understood not only by experts but also by graduate students and others who are interested in the applications:

the only requirement on readers is a knowledge of calculus and elementary real analysis.” MATHEMATICAL REVIEWS

2nd ed. 2003. 537 p. (Mathematics and Its Appli-cations, Volume 560) Hardcover. ISBN 1-4020-1522-4 $209.00 Sale price $89.50

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

Functions of One Complex Variable I“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 presentation, and the end result is a very satisfactory book for classroom use or self-study.” MathSciNet

2nd ed. 1978. Corr. 7th printing 1995. XIII, 317 pp. 30 figs. (Graduate Texts in Mathematics, Volume 11) Hardcover. ISBN 0-387-90328-3 $59.95 Sale price $44.50

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

A Course in Functional Analysis “This book is an excellent text for a first graduate course in functional analysis . . . Many interesting and important applications 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.” MATHEMATICAL REVIEWS

2nd ed. 1990. Corr. 4th printing 1997. XVI, 399 pp. 1 illus. (Graduate Texts in Mathematics, Volume 96) Hardcover. ISBN 0-387-97245-5 $79.95 Sale price $44.50

AnalysisSee full descriptions at springeronline.com/yellowsale

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R. Courant, F. John

Introduction to Calculus and Analysis Volume I “Volume 1 covers a basic course in real analysis of one variable and Fourier series. It is well-illustrated, well-motivated and very well-provided with a multitude of unusually useful and accessible exercises.... There are three aspects of Courant and John in which it outshines (some) contemporaries: (i) the extensive historical references, (ii) the chapter on numerical methods, and (iii) the two chapters on physics and geometry. The exercises in Courant and John are put together purposefully, and either look numerically interesting, or are intuitively significant, or lead to applications. It is the best text known to the reviewer for anyone trying to make an analysis course less abstract.” The Mathematical Gazette

Reprint of the 1st ed. Berlin Heidelberg New York 1989 1999. XXIII, 661 p. (Classics in Mathematics) Softcover. ISBN 3-540-65058-X $49.95 Sale price $34.50

Z. Denkowski, S. Migórski, Jagiellonian University, Cracow, Poland; N. Papageorgiou, National Technical University, Athens, Greece

An Introduction to Nonlinear Analysis: Theory“At last! A teachable book on Nonlinear Analysis. Written with the teacher and the student in mind, this book will certainly acquire an important position in everybody‘s Nonlinear Analysis library.” A.G. Kartsatos, University of South Florida

2003. 706 p. Hardcover. ISBN 0-306-47392-5 $175.00 Sale price $89.50

J. Doob, Urbana, IL, USA

Measure TheoryThis book is different from other books on measure theory in that it accepts probability theory as an essential part of measure theory. This means that many examples are taken from probability; that probabilistic concepts such as independence, Markov processes, and condi-tional expectations are integrated into the text rather than being relegate to an appendix; that more attention is paid to the role of algebras than is customary; and that the metric defining

the distance between sets as the measure of their symmetric difference is exploited more than is customary.

1994. XII, 210 pp. (Graduate Texts in Mathematics, Volume 143) Hardcover. ISBN 0-387-94055-3 $59.95 Sale price $39.50

D. Estep, Colorado State University, Fort Collins, CO, USA

Practical Analysis in One Variable “A very good textbook, especially in courses taken mostly by engineering majors: I am sure these students would find the approach to the book attractive and motivating.” MAA ONLINE

2002. XX, 621 p. 195 illus. (Undergraduate Texts in Mathematics) Hardcover. ISBN 0-387-95484-8 $59.95 Sale price $39.50

M. Fabian, P. Hajek, J. Pelant, Czech Academy of Sciences, Prague, Czech Republic; P. Habala, Czech Technical University, Prague, Czech Republic; V. Montesinos, Santalucia, Polytechnic University of Valencia, Spain; V. Zizler, University of Alberta, Edmonton, AB, USA

Functional Analysis and Infinite-Dimensional Geometry “This is a substantial text containing up-to-date exposition and functional analysis from a Banach space point of view. It will be particularly useful for research investigation of nonlinear functional analysis and optimization…This book will stand as an important working text and reference and a significant guide for research students.” MATHEMATICAL REVIEWS

2001. IX, 451 pp. (CMS Books in Mathematics) Hardcover. ISBN 0-387-95219-5 $79.95 Sale price $49.50

B. R. Gelbaum, State University of New York, Buffalo, NY, USA

Problems in Real and Complex AnalysisThis book builds upon the earlier volume Problems in Analysis, more than doubling it with a new section of problems on complex

analysis. The problems on real analysis from the earlier book have all been checked, and stylistic, typographical, and mathematical errors have been corrected. The problems in complex analysis cover most of the principal topics in the theory of functions of a complex variable.

1992. X, 488 pp. 18 figs. (Problem Books in Math-ematics) Hardcover. ISBN 0-387-97766-X $69.95 Sale price $44.50

E. Gordon, Eastern Illinois University, Charleston, USA; A. Kusraev, Vladikavkaz State University, Russia; S. Kutateladze, Sobolev Institute of Math-ematics, Siberian Division of the Russian Academy of Sciences, Novosibirsk, Russia

Infinitesimal Analysis

2002. 436 p. (Mathematics and Its Applications, Volume 544) Hardcover. ISBN 1-4020-0738-8 $202.00 Sale price $89.50

M. Gromov

Partial Differential Relations

1986. IX, 363 pp. (A Series of Modern Surveys in Mathematics, Volume 9) Hardcover. ISBN 3-540-12177-3 $143.00 Sale price $69.50

J. Guckenheimer, Cornell University, Ithaca, NY, USA; P. Holmes, University of Princeton, NJ, USA

Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields “The book is rewarding reading . . . The elementary chapters are suitable for an introductory graduate course for mathematicians and physicists ... Its excellent survey of the mathematical literature makes it a valuable reference.” JOURNAL OF STATISTICAL PHYSICS

1st ed. 1983. Corr. 6th printing 2002. XVI, 459 pp. 206 illus. (Applied Mathematical Sciences, Volume 42) Hardcover. ISBN 0-387-90819-6 $64.95 Sale price $39.50

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N. Hadjisavvas, University of Aegean, Hermoupolis, Greece; S. Komlósi, University of Pécs, Hungary; S. Schaible, University of California, Riverside, USA (Eds.)

Handbook of Generalized Convexity and Generalized MonotonicityThe Handbook offers a systematic and thorough exposition of the theory and applications of the various aspects of generalized convexity and generalized monotonicity. Results in this fast growing field are contained in a large number of scientific papers which appeared in a variety of professional journals, partially due to the interdisciplinary nature of the subject matter. Each of its fourteen chapters is written by leading experts of the respective research area starting from the very basics and moving on to the state of the art of the subject. Each chapter is complemented by a comprehensive bibliography which will assist the non-expert and expert alike.

2005. XX, 672 p. (Nonconvex Optimization and Its Applications, Volume 76) Hardcover. ISBN 0-387-23255-9 $299.00 Sale price $89.50

A. J. Hahn, Notre Dame University, Notre Dame, IN, USA

Basic CalculusFrom Archimedes to Newton to its Role in Science

The book develops calculus, as well as the necessary trigonometry and analytic geometry, from within the relevant historical context, and yet it is not a textbook in the history of math-ematics as such. The notation is modern, and the material is selected to cover the basics of the subject. Special emphasis is placed on pedagogy throughout. While emphasizing the broad applications of the subject, emphasis is placed on the mathematical content of the subject.

1998. XIV, 545 p. 540 illus. (Textbooks in Math-ematical Sciences) Hardcover. ISBN 0-387-94606-3 $79.95 Sale price $49.50

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

Measure Theory “As with the first edition, this considerably improved volume will serve the interested student

to find his way to active and creative work in the field of Hilbert space theory.” MATHEMATICAL REVIEWS

1st ed. 1974. 2nd printing 1974. XI, 304 pp. (Graduate Texts in Mathematics, Volume 18) Hardcover. ISBN 0-387-90088-8 $59.95 Sale price $44.50

E. Hewitt, University of Washington, Seattle, WA, USA; K. Stromberg, Kansas State University, Manhattan, KS, USA

Real and Abstract AnalysisA Modern Treatment of the Theory of Functions of a Real Variable

1st ed. 1965. 3rd printing 1975. XI, 476 pp. 8 figs. (Graduate Texts in Mathematics, Volume 25) Hardcover. ISBN 0-387-90138-8 $74.95 Sale price $49.50

E. Hewitt, University of Washington, Seattle, WA, USA; K. A. Ross, University of Oregon, Eugene, OR, USA

Abstract Harmonic AnalysisVolume 2: Structure and Analysis for Compact Groups. Analysis on Locally Compact Abelian Groups

“This work aims at giving a monographic presentation of abstract harmonic analysis, far more complete and comprehensive than any book already existing on the subject...in connection with every problem treated the book offers a many-sided outlook and leads up to most modern developments. Carefull attention is also given to the history of the subject, and there is an extensive bibliography...the reviewer believes that for many years to come this will remain the classical presentation of abstract harmonic analysis.” Publicationes Mathematicae

1st ed. 1970. 2nd printing 1994. X, 771 pp. (Grun-dlehren der mathematischen Wissenschaften, Volume 152) Softcover. ISBN 3-540-58318-1 $98.00 Sale price $59.50

M. H. Holmes, Rensselaer Polytechnic Institute, Troy, NY, USA

Introduction to Perturbation MethodsThis book is an introductory graduate text dealing with many of the perturbation methods currently used by applied mathematicians, scientists, and engineers. The only prerequisite

for the course is a background in differential equations. Each chapter begins with an introductory development involving ordinary differential equations. The book covers tradi-tional topics, such as boundary layers and multiple scales. However, it also contains material arising from current research interest including homogenization, slender body theory, symbolic computing, and discrete equations. One of the more important features of this book is contained in the exercises. Many are derived from problems of up- to-date research and are from a wide range of application areas.

1st ed. 1995. Corr. 2nd printing 1998. XIII, 337 p. 88 illus. (Texts in Applied Mathematics, Volume 20) Hardcover. ISBN 0-387-94203-3 $79.95 Sale price $54.50

R. A. Holmgren, Allegheny College, Meadville, PA, USA

A First Course in Discrete Dynamical SystemsThis book is intended to introduce the reader both to topics in dynamical systems and mathematical thinking. The organizing principle is the development of an understanding of the parametrized family of functions h(x) = rx(1-x). This book includes rigorous proofs of important concepts in dynamics and is still accessible to the typical advanced undergraduate student.

2nd ed. 1996. Corr. 2nd printing 2000. XV, 223 p. 56 illus. (Universitext) Softcover. ISBN 0-387-94780-9 $52.95 Sale price $39.50

J. M. Howie, University of St. Andrews, UK

Complex Analysis“Howie‘s book is a gem. I want to use it the next time I teach complex analysis. Not only do Howie‘s selection of topics and their sequence correspond perfectly to what I believe to be the ideal approach to this gorgeous subject, the writing style is (again) wonderful...I think this is a terrific book. I‘m going to use it the first chance I get. And I recommend it very, very highly.” MAA Online

1st ed. 2003. 2nd printing 2003. XI, 260 p. 83 illus. (Springer Undergraduate Mathematics Series) Softcover. ISBN 1-85233-733-8 $39.95 Sale price $29.50

AnalysisSee full descriptions at springeronline.com/yellowsale

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

Real Analysis“Written in an easy-to-read style, combining informality with precision, the book is ideal for self-study or as a course textbook for first-and second-year undergraduates.” ZENTRALBLATT MATH

1st ed. 2001. Corr. 2nd printing 2003. X, 276 p. 35 illus. (Springer Undergraduate Mathematics Series) Softcover. ISBN 1-85233-314-6 $39.95 Sale price $29.50

P. Hsieh, Western Michigan University Kalamazoo, MI, USA; Y. Sibuya, University of Minnesota, Minneapolis, MN, USA (Eds.)

Basic Theory of Ordinary Differential Equations“This book in pure mathematics will guide the reader on a newly marked path through classic and awesome terrain---first so well described by Coddington and Levinson---toward research in the important and useful areas of power series solutions and asymptotics. The path not taken would be marked by at least one explicit mention of a PoincarÃ© map, a resonance in celestial mechanics, an average, a traveling wave, or a transversal intersection of separatrices.” MATHEMATICAL REVIEWS

1999. Approx. 500 pp. 114 illus. (Universitext) Hardcover. ISBN 0-387-98699-5 $64.95 Sale price $44.50

S. Kobayashi, University of California, Berkeley, CA, USA

Hyperbolic Complex Space“The author‘s book is exceptionally well organized, with an impressive collection of references to the literature. A particular strength of the book is the author‘s taste in choosing which examples to include and which to omit. The author did an excellent job of selecting and treating examples that are essential for developing the reader‘s intuition about the subject and contented himself with citing the literature for technical examples that illustrate finer points… This reviewer would recommend this book to nearly anyone interested in the geometry and function theory of complex manifolds.” MATHEMATICAL REVIEWS

1998. XIII, 471 pp. 8 figs. (Grundlehren der mathematischen Wissenschaften, Volume 318) Hardcover. ISBN 3-540-63534-3 $155.00 Sale price $79.50


Real and Functional AnalysisThis book is meant as a text for a first-year graduate course in analysis. In a sense, the subject matter covers the same topics as elementary calculus - linear algebra, differentiation, integration - but treated in a manner suitable for people who will be using it in further mathematical investigations. The organization of the book avoids long chains of logical interdependence, so that chapters are as independent as possible. This allows a course using the book to omit material from some chapters without compromising the exposition of material from later chapters.

3rd ed. 1993. XIV, 580 pp. 37 illus. (Graduate Texts in Mathematics, Volume 142) Hardcover. ISBN 0-387-94001-4 $69.95 Sale price $49.50


Fundamentals of Differential Geometry“There are many books on the fundamentals of differential geometry, but this one is quite exceptional; this is not surprising for those who know Serge Lang‘s books. ...It can be warmly recommended to a wide audience.” EMS Newsletter, Issue 41, September 2001

1st ed. 1999. Corr. 2nd printing 2001. XVII, 535 pp. 22 figs. (Graduate Texts in Mathematics, Volume 191) Hardcover. ISBN 0-387-98593-X $69.95 Sale price $49.50


A First Course in CalculusThis is the fifth edition of Lang‘s caclulus book. It covers all of the topics traditionally taught in the first-year calculus sequence. The book consists of five parts: Review of Basic Material, Differention and Elementary Functions, Integration, Taylor‘s Formula and Series and Functions of Several Variables. Each section of A First Course in Calculus contains examples and applications of the topic covered. In addition, the back of the book contains detailed solutions to a large number of the exercises. These can be used as worked-out examples, and constitute one of the main changes from previous editions.

5th ed. 1986. 5th corr. printing 1998. XV, 727 pp. 367 illus. (Undergraduate Texts in Mathematics) Hardcover. ISBN 0-387-96201-8 $69.95 Sale price $44.50

J. Marsden, A. Weinstein

Calculus I

2nd ed. 1985. 528 illus. (Undergraduate Texts in Mathematics) Softcover ISBN 0-387-90974-5 $47.95 Sale price $34.50

J. C. Oxtoby

Measure and CategoryA Survey of the Analogies between Topological and Measure Spaces

2nd ed. 1980. 4th printing 1997. X, 106 pp. (Grad-uate Texts in Mathematics, Volume 2) Hardcover. ISBN 0-387-90508-1 $54.95 Sale price $44.50

A. Quarteroni, Politecnico di Milano, Italy; A. Valli, University of Trento, Povo, Italy

Numerical Approximation of Partial Differential Equations“...The book is excellent and is addressed to post-graduate students, research workers in applied sciences as well as to specialists in numerical mathematics solving PDE. Since it is written very clearly, it would be acceptable for undergraduate students in advanced courses of numerical mathematics. Readers will find this book to be a great pleasure.” MATHEMATICAL REVIEWS

1st ed. 1994. 2nd corr. printing 1997. XVI, 544 pp. 59 figs., 17 tabs. (Springer Series in Computational Mathematics, Volume 23) Hardcover. ISBN 3-540-57111-6 $139.00 Sale price $79.50

J. Rauch, University of Michigan, Ann Arbor, MI, USA

Partial Differential Equations“...this is an outstanding text presenting a healthy challenge not only to students but also to teachers used to more traditional or more pedestrian developments of the subject.” MATHEMATICAL REVIEWS

1st ed. 1991. Corr. 2nd printing 1997. X, 263 p. 42 illus. (Graduate Texts in Mathematics, Volume 128) Hardcover. ISBN 0-387-97472-5 $59.95 Sale price $39.50

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K. A. Ross, University of Oregon, Eugene, OR, USA

Elementary AnalysisThe The

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