WIXLIB

TEXTBOOKS FROM THE AMSTEXTBOOKTEXTBOOKSFROM THE AMSUNDERGRAD / GRADFourier AnalysisFourier Analysis and Its ApplicationsJavier Duoandikoetxea, Universidad del PaísVasco/Euskal Herriko Unibertsitatea, Bilbao, SpainGerald B. Folland, University of Washington,Seattle, WAThis is a great introductory book to Fourier analysison Euclidean spaces and can serve as a textbook inan introductory graduate course on the subject Thechapters on the Hardy-Littlewood maximal functionand the Hilbert transform are extremely well written this is a great book and is highly recommended as anintroductory textbook to Fourier analysis. The studentswill have a lot to benefit from in the simple and quickpresentation of the book.With the same mastery as in his 'Real Analysis' theauthor now offers us this excellent textbook onFourier analysis: Fourier series, orthogonal systems,Bessel functions, Fourier and Laplace transforms,which are all very powerful mathematical tools inmany a scientific domain. Without being exhaustiveand without falling into a profusion of boring details,it nevertheless gives a panorama of these topics thatis as complete as the framework of the book allows.Thus this text, which is designed for courses at theadvanced undergraduate level and beyond, will alsoserve as a useful reference book.—Mathematical ReviewsGraduate Studies in Mathematics, Volume 292001; 222 pp.; hardcover; ISBN: 978-0-8218-2172-5; List US 39;AMS members US 31; Order code: GSM/29AnalysisGRADUATE—Mathematical ReviewsPure and Applied Undergraduate Texts, Volume 41992; 433 pp.; hardcover; ISBN: 978-0-8218-4790-9; List US 72;AMS members US 58; Order code: AMSTEXT/4GRADUATEFunctional AnalysisUNDERGRADUATEAn IntroductionYuli Eidelman and Vitali Milman, Tel Aviv University,Israel, and Antonis Tsolomitis, University of the Aegean,Samos, GreeceThis is a gentle introduction to functional analysis thatis clearly written and comes with detailed, elegant andeffective proofs and well-chosen examples. . This bookis written with great care and with much sympathy tothe reader. It is pleasant to read. It is simply a goodbook to learn the foundations of functional analysis.—Zentralblatt MATHuInstructor’s Manual AvailableIntroduction to AnalysisFifth EditionEdward D. Gaughan, New Mexico State University,Las Cruces, NMIntroduction to Analysis is designed to bridge the gapbetween the intuitive calculus usually offered at the undergraduate level and the sophisticated analysis courses thestudent encounters at the graduate level.An instructor’s manual for this title is available electronically.Please send email to textbooks@ams.org for more information.Pure and Applied Undergraduate Texts, Volume 1Graduate Studies in Mathematics, Volume 662004; 322 pp.; hardcover; ISBN: 978-0-8218-3646-0; List US 58; AMSmembers US 46; Order code: GSM/661998; 240 pp.; hardcover; ISBN: 978-0-8218-4787-9; List US 62;AMS members US 50; Order code: AMSTEXT/1GRADUATEUNDERGRADUATEuInstructor’s Manual AvailableFunction Theory of One Complex VariableAdvanced CalculusThird EditionSecond EditionRobert E. Greene, University of California, Los Angeles,CA, and Steven G. Krantz, Washington University, St.Louis, MOPatrick M. Fitzpatrick, University of Maryland,College Park, MDThis self-contained book is intended as a text for coursesthat furnish the backbone of the student's undergraduateeducation in mathematical analysis. Supplemented withnumerous exercises, Advanced Calculus is a perfect bookfor undergraduate students of analysis.An instructor’s manual for this title is available electronically.Please send email to textbooks@ams.org for more information.From a review of the first edition:The book is carefully and precisely written in a livelyand soft style. It is extremely clear, very explicativeand very detailed. Moreover, it is stimulating and verysuitable for self-study. Therefore a beginning studentwill probably have no difficulty using it as a textbook.—Mathematical ReviewsPure and Applied Undergraduate Texts, Volume 52006; 590 pp.; hardcover; ISBN: 978-0-8218-4791-6; List US 82;AMS members US 66; Order code: AMSTEXT/5Graduate Studies in Mathematics, Volume 402006; 504 pp.; hardcover; ISBN: 978-0-8218-3962-1; List US 79;AMS members US 63; Order code: GSM/40.RFor more information on these titles visit www.ams.org/bookstore/textbooks5TEXTBOOKTEXTBOOKS

TEXTBOOKS FROM THE AMSTEXTBOOKAnalysisTEXTBOOKSFROM THE AMSGRADUATEAppliedAsymptoticAnalysisPeter D. MillerGraduate Studiesin MathematicsUNDERGRAD / GRADApplied Asymptotic AnalysisIntroduction to Complex AnalysisPeter D. Miller, University of Michigan, Ann Arbor, MISecond EditionWhat is really special about the book is that it includesdiscussions on a number of topics that are usuallynot found in books on asymptotics . very clear andstudent-friendly . ideal textbook for a graduate courseon asymptotic analysis. Highly recommended.—Arno Kuijlaars for Journal of Approximation TheoryVolume 75Graduate Studies in Mathematics, Volume 752006; 467 pp.; hardcover; ISBN: 978-0-8218-4078-8; List US 69;AMS members US 55; Order code: GSM/75Rolf Nevanlinna and Veikko PaateroThis is a textbook by one of the masters of ComplexAnalysis. It is a crisp, direct, and surprisingly modernaccount of the basic material for a first course inComplex Analysis. . In summary, the book remainsan excellent reference for a first course in ComplexAnalysis. It contains over 300 exercises.—MAA ReviewsAMS Chelsea Publishing, Volume 3101969; 350 pp.; hardcover; ISBN: 978-0-8218-4399-4; List US 49;AMS members US 44; Order code: CHEL/310.HGRADUATEAnalysisGRADUATESecond EditionElliott H. Lieb, Princeton University, NJ, and MichaelLoss, Georgia Institute of Technology, Atlanta, GAThe essentials of modern analysis are presented in arigorous and pedagogical way readers are guidedto a level where they can read the current literature withunderstanding treatment of the subject is as direct aspossible.—Zentralblatt MATHGraduate Studies in Mathematics, Volume 142001; 346 pp.; hardcover; ISBN: 978-0-8218-2783-3; List US 43;AMS members US 34; Order code: GSM/14.RUNDERGRADUATEIntroduction to Fourier Analysis andWaveletsMark A. Pinsky, Northwestern University, Evanston, ILThis book provides a concrete introduction to a numberof topics in harmonic analysis, accessible at the earlygraduate level or, in some cases, at an upper undergraduatelevel. The text contains numerous examples and more than200 exercises, each located in close proximity to the relatedtheoretical material.Graduate Studies in Mathematics, Volume 1022002; 376 pp.; hardcover; ISBN: 978-0-8218-4797-8; List US 69;AMS members US 55; Order code: GSM/102GRADUATEReal AnalysisTools of the TradeFrank Morgan, Williams College, Williamstown, MAIntroduction to Advanced MathematicsReading your book is a refreshingly delightful changefrom the usual emphasis on series, rather thantopology, as a foundation of analysis.—Robert Jones, University of DusseldorfIdeally suited as an undergraduate textbook, thiscomplete book on real analysis will fit comfortably intoone semester.2005; 151 pp.; hardcover; ISBN: 978-0-8218-3670-5; List US 41;AMS members US 33; Order code: REALPaul J. Sally, Jr., University of Chicago, ILThis book provides a transition from the formula-fullaspects of the beginning study of college level mathematicsto the rich and creative world of more advanced topics. It isdesigned to assist the student in mastering the techniquesof analysis and proof that are required to do mathematics.2008; 193 pp.; hardcover; ISBN: 978-0-8218-4634-6; List US 49;AMS members US 39; Order code: MBK/55UNDERGRAD / GRADUNDERGRADUATEReal Analysis and ApplicationsIncluding Fourier Series and the Calculus ofVariationsFrank Morgan, Williams College, Williamstown, MAThe text not only provides clear, logical proofs, but alsoshows the student how to derive them. The excellent exercises come with select solutions in the back. This is a textthat makes it possible to do the full theory and significantapplications in one semester.2005; 197 pp.; hardcover; ISBN: 978-0-8218-3841-9; List US 41;AMS members US 33; Order code: REALAPP6To order an exam copy visit mplex Function TheorySecond EditionDonald Sarason, University of California, Berkeley, CAFrom a review of the previous edition:The exposition is clear, rigorous, and friendly.—Zentralblatt MATHSuitable for either an introductory graduate course or anundergraduate course for students with adequate preparation.2007; 163 pp.; hardcover; ISBN: 978-0-8218-4428-1; List US 39;AMS members US 31; Order code: MBK/49

TEXTBOOKS FROM THE AMSTEXTBOOKTEXTBOOKSPrinciples of Functional AnalysisFROM THE AMSUNDERGRADUATESecond EditionuInstructor’s Manual AvailableMartin Schechter, University of California, Irvine, CAThe Mathematics of FinanceThis excellent book provides an elegant introductionto functional analysis carefully selected problems This is a nicely written book of great value forstimulating active work by students. It can be stronglyrecommended as an undergraduate or graduate text, oras a comprehensive book for self-study.Victor Goodman and Joseph Stampfli, IndianaUniversity, Bloomington, IN—European Mathematical Society NewsletterGraduate Studies in Mathematics, Volume 362002; 425 pp.; hardcover; ISBN: 978-0-8218-2895-3; List US 65;AMS members US 52; Order code: GSM/36Modeling and HedgingAnalysis ApplicationsAPPLICATIONSGRADUATEThis book is ideally suited for an introductory undergraduate course on financial engineering. It explainsthe basic concepts of financial derivatives, includingput and call options, as well as more complex derivatives such as barrier options and options on futurescontracts. The book begins with binomial stock pricemodels, moves on to multistage models, then to theCox-Ross-Rubinstein option pricing process, and thento the Black-Scholes formula. Each of the eleven chapters includes a variety of exercises.An instructor’s manual for this title is available electronically.Please send email to textbooks@ams.org for more information.UNDERGRADUATEPure and Applied Undergraduate Texts, Volume 7Approximately CalculusShahriar Shahriari, Pomona College, Claremont, CAApproximately Calculus is intended for the reader whohas already had an introduction to calculus, but wants toengage the concepts and ideas at a deeper level. It is suitable as a text for an honors or alternative second semestercalculus course.2006; 292 pp.; hardcover; ISBN: 978-0-8218-3750-4; List US 49;AMS members US 39; Order code: ACALCGRADUATEMeasure Theory and Integration2001; 250 pp.; hardcover; ISBN: 978-0-8218-4793-0; List US 62;AMS members US 50; Order code: AMSTEXT/7GRADUATEConcise Numerical MathematicsRobert Plato, Technical University of Berlin, GermanyFrom a review of the German edition:Appealing result of [the author’s] endeavours Thepresentation is concise even instructors are offerednew views and insights the author offers manywell-chosen exercises The book really is a valuablecontribution to the literature on its subject.—Zentralblatt MATHMichael E. Taylor, University of North Carolina,Chapel Hill, NCGraduate Studies in Mathematics, Volume 57The book is very understandable, requiring only a basicknowledge of analysis. It can be warmly recommendedto a broad spectrum of readers, to graduate students aswell as young researchers.Softcover Edition2003; 453 pp.; softcover; ISBN: 978-0-8218-3414-5; List US 58;AMS members US 46; Order code: GSM/57.S2003; 453 pp.; hardcover; ISBN: 978-0-8218-2953-0; List US 89;AMS members US 71; Order code: GSM/57—European Mathematical Society NewsletterGraduate Studies in Mathematics, Volume 76UNDERGRADUATE2006; 319 pp.; hardcover; ISBN: 978-0-8218-4180-8; List US 59; AMSmembers US 47; Order code: GSM/76uInstructor’s Manual AvailableNumerical AnalysisMathematics of Scientific Computing,Third EditionDavid Kincaid and Ward Cheney,University of Texas at Austin, TXUNDERGRAD / GRADComplex Made SimpleDavid C. Ullrich, Oklahoma State University,Stillwater, OKThis book is suitable for a first-year course in complexanalysis. The exposition is aimed directly at the students,with plenty of details included.Graduate Studies in Mathematics, Volume 972008; 489 pp.; hardcover; ISBN: 978-0-8218-4479-3; List US 75;AMS members US 60; Order code: GSM/97The subject of numerical analysis is treated froma mathematical point of view, offering a completeanalysis of methods for scientific computing withappropriate motivations and careful proofs.From a review of a previous edition:Good textbooks in this area are scarce, and thisone is better than several I have tried to use.—Mathematical ReviewsAn instructor’s manual for this title is available electronically.Please send email to textbooks@ams.org for more information.Pure and Applied Undergraduate Texts, Volume 22002; 788 pp.; hardcover; ISBN: 978-0-8218-4788-6;List US 89; AMS members US 71; Order code: AMSTEXT/2For more information on these titles visit www.ams.org/bookstore/textbooks7TEXTBOOKTEXTBOOKS

TEXTBOOKS FROM THE AMSTEXTBOOKTEXTBOOKSFROM THE AMSDIFFERENTIALEQUATIONSDISCRETE MATHEMATICS ANDCOMBINATORICSGRADUATEFoundationsof MechanicsSecond EditionRalph AbrahamJerrold E. MarsdenAMS CHELSEA PUBLISHINGAmerican Mathematical Society Providence, Rhode IslandFoundations of MechanicsUNDERGRAD / GRADSecond EditionRalph Abraham, University of California, Santa Cruz,CA, and Jerrold E. Marsden, California Institute ofTechnology, Pasadena, CAUndoubtedly [the book] will be for years thestandard reference on symplectic geometry, analyticalmechanics and symplectic methods in mathematicalphysics.—Zentralblatt MATHAMS Chelsea Publishing, Volume 3641978; 826 pp.; hardcover; ISBN: 978-0-8218-4438-0; List US 99;AMS members US 89; Order code: CHEL/364.HDiscreteMathematicsMartin Aigner, FreieUniversität Berlin,GermanyPraise for theGerman edition:This book is a wellwritten introductionto discrete mathematics and is highlyrecommended to every student of mathematics andcomputer science as well as to teachers of thesetopics.—Mathematical Reviews2007; 388 pp.; hardcover; ISBN: 978-0-8218-4151-8;List US 59; AMS members US 47; Order code: DISCMATGRADUATEPartial Differential EquationsP. R. Garabedian, New York University-Courant Instituteof Mathematical Sciences, NYBecause of the author’s emphasis on constructivemethods for solving problems which are of physicalinterest, his book will likely be as welcome to theengineer and the physicist as to the mathematician The author and publisher are to be complimented on thegeneral appearance of the book.—Mathematical ReviewsAMS Chelsea Publishing, Volume 3251964; 672 pp.; hardcover; ISBN: 978-0-8218-1377-5; List US 62;AMS members US 56; Order code: CHEL/325.HLawrence C. EvansGraduate Studiesin MathematicsVolume 19LA M E R I CA NEMATATHICAMS O CI E T YFOU ND8E D 18American Mathematical Society8An Introduction to Gröbner BasesWilliam W. Adams, University of Maryland,College Park, MD, and Philippe Loustaunau,George Mason University, Fairfax, VAA very carefully crafted introduction to the theory andsome of the applications of Gröbner bases containsa wealth of illustrative examples and a wide varietyof useful exercises, the discussion is everywhere wellmotivated, and further developments and importantissues are well sign-posted has many solid virtuesand is an ideal text for beginners in the subject certainly an excellent text.—Bulletin of the London Mathematical EPartial Differential EquationsLawrence C. Evans, University of California,Berkeley, CAIn this textbook on partial differential equations(PDE) the author gives a broad survey of manyimportant topics in this area. Generally the approachof the author is to explain the fundamental ideasof a subject in a clearest possible setting, and toemphasize the importance of nonlinear concepts andof generalized solutions. Highly recommend the bookfor students as well as for lectures in PDE.—Monatshefte für MathematikGraduate Studies in Mathematics, Volume 191998; 662 pp.; hardcover; ISBN: 978-0-8218-0772-9; List US 83;AMS members US 66; Order code: GSM/19Graduate Studies in Mathematics, Volume 3289 pp.; hardcover; ISBN: 978-0-8218-3804-4; List US 43;AMS members US 34; Order code: GSM/3UNDERGRADUATEuInstructor’s Manual AvailableuA Discrete Transitionto Advanced MathematicsStudent Manual AvailableBettina Richmond and Thomas Richmond,Western Kentucky University, Bowling Green, KYAimed at bridging the gap between lower-level mathematics and advanced mathematics this well-written bookoffers a wealth of examples to develop an understanding ofdiscrete mathematics and critical thinking skills.An instructor’s manual for this title is available electronically.Please send email to textbooks@ams.org for more information.A student manual with solutions to selected problems is available electronically at f.Pure and Applied Undergraduate Texts, Volume 32004; 424 pp.; hardcover; ISBN: 978-0-8218-4789-3; List US 72;AMS members US 58; Order code: AMSTEXT/38To order an exam copy visit www.ams.org/bookstore-exam-copyTEXTBOOKTEXTBOOKS

TEXTBOOKS FROM THE AMSTEXTBOOKTEXTBOOKSFROM THE AMSA View from the TopAnalysis, Combinatorics and Number TheoryUNDERGRADUATEAlex Iosevich, University of Missouri, Columbia, MOGroups and Symmetry: A Guide toDiscovering MathematicsDavid W. Farmer, Bucknell University, Lewisburg, PA.a tremendous asset and an endless source ofinspiration.Nicely produced and concentrates on the informalanalysis of geometrical patterns with the emphasison informality could serve as a useful collection ofactivities to precede a formal course and would providea range of intuitive experiences to which the moreformal treatment could refer.This book is based on a capstone course that theauthor taught to upper division undergraduate studentswith the goal to explain and visualize the connectionsbetween different areas of mathematics and the waydifferent subject matters flow from one another.—The Mathematical GazetteMathematical World, Volume 5—European Mathematical Society NewsletterGeneral and InterdisciplinaryGENERAL AND INTERDISCIPLINARYUNDERGRADUATEStudent Mathematical Library, Volume 392007; 136 pp.; softcover; ISBN: 978-0-8218-4397-0; List US 29;AMS members US 23; Order code: STML/391996; 102 pp.; softcover; ISBN: 978-0-8218-0450-6; List US 22;AMS members US 18; Order code: MAWRLD/5PROFESSIONALSHow to Teach Mathematics, Second EditionUNDERGRAD / GRADSteven G. Krantz, Washington University, St. Louis, MOKnots and SurfacesA Guide to Discovering MathematicsDavid W. Farmer, Bucknell University, Lewisburg, PA,and Theodore B. Stanford, University of Nevada,Reno, NVThe book is perfectly suited to a course for non-sciencemajors in need of fulfilling a math requirement. All thesections have worked well at sparking student interestand convincing them that math is much more interestingthan mere number-crunching and graphing.Since the first edition of How to Teach Mathematics theincreasing maturity of both traditionalist and reformmovements has given Krantz more insights into theteaching of mathematics. This book is a must read forinstructors preparing their courses for next semester.—MAA Online1999; 307 pp.; softcover; ISBN: 978-0-8218-1398-0; List US 27; AMSmembers US 22; Order code: HTM/2—Professor William Bloch, Wheaton CollegeUNDERGRADUATEMathematical World, Volume 61996; 101 pp.; softcover; ISBN: 978-0-8218-0451-3; List US 22;AMS members US 18; Order code: MAWRLD/6Roots to ResearchA Vertical Development of MathematicalProblemsJudith D. Sally, Northwestern University, Evanston, IL,and Paul J. Sally, Jr., University of Chicago, ILUNDERGRADUATEThe Mathematics of Voting and Elections:A Hands-On ApproachJonathan K. Hodge, Grand Valley State University,Allendale, MI, and Richard E. Klima, Appalachian StateUniversity, Boone, NCThe book by Hodge and Klima is an excellent entry intothis field . has plenty of material for a one-semestercourse . friendly and clear style that students willappreciate . well-written and well-edited . Everyinstructor teaching this subject should consider this asthe textbook.Many references are given but the book is largelyself-contained. The authors have done a remarkablejob of giving a seamless presentation of materialat very different levels of difficulty. Teachers andstudents will appreciate this book both for theinformation it contains and as a model of expositorywriting.—Mathematical Reviews2007; 338 pp.; hardcover; ISBN: 978-0-8218-4403-8; List US 49;AMS members US 39; Order code: MBK/48—MAA ReviewsMathematical World, Volume 222005; 226 pp.; softcover; ISBN: 978-0-8218-3798-6; List US 37;AMS members US 30; Order code: MAWRLD/22For more information on these titles visit www.ams.org/bookstore/textbooks9TEXTBOOKTEXTBOOKS

TEXTBOOKS FROM THE AMSTEXTBOOKGeneral and Interdisciplinary Geometry and TopologyTEXTBOOKSUNDERGRADUATEFROM THE AMSGRADUATEMathematical Worl

main topics of algebra, suitable for a first sequence on the subject at the beginning graduate or upper undergraduate level. The primary distinguishing feature of this book, compared to standard textbooks in algebra, is the early introduction of categories, used as