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Misc-Catalog09-7X10-Web.Pdf mmisc-catalog09-7x10.inddisc-catalog09-7x10.indd 1 112/16/092/16/09 11:54:54 PPMM The American Mathematical Society publishes and distributes many exciting titles apart from our popular book series. In this catalog you will find new and classic titles both geared toward specific readerships and those with broad appeal to anyone interested in mathematics. This includes instructors, graduate students, advanced undergraduates, and any mathematician seeking new or familiar topics presented in a captivating manner. These books are especially valued by readers who are looking for something apart from highly-specialized research texts. The selections in this catalog offer current and classic information in a compre- hensive and engaging style. Whether you’re browsing for the classroom, an academic library, or your mathematical books collections, you will find many selections of interest. For more information on the books listed in this catalog, or to view other engaging titles, visit www.ams.org/bookstore/nonseries. Table of Contents Algebra and Algebraic Geometry ..............................................3 Analysis ........................................................................................... 3 Applications ................................................................................... 4 Differential Equations ..................................................................4 Discrete Mathematics and Combinatorics ..............................5 General and Interdisciplinary .................................................... 5 Geometry and Topology ............................................................. 11 Mathematical Physics ................................................................... 12 Number Theory ............................................................................ 13 Probability ...................................................................................... 13 Ordering Information .................................................................. 14 Index ................................................................................................ 15 2 Order by Phone | 1-401-455-4000 or 1-800-321-4267 mmisc-catalog09-7x10.inddisc-catalog09-7x10.indd 2 112/16/092/16/09 11:54:54 PPMM Algebra and Algebraic Real Analysis Geometry Frank Morgan, Williams College, Williamstown, MA Applied Linear Algebra Reading your book is a The Decoupling Principle, refreshingly delightful change Second Edition from the usual emphasis on series, rather than topology, as Lorenzo Sadun, University of Texas, Austin, TX a foundation of analysis. —Robert Jones, University This text for junior and senior under- of Dusseldorf graduates treats diagonalization as a central tool in solving complicated Real Analysis builds the theory behind calculus directly from problems in mathematics, physics and the basic concepts of real numbers, limits, and open and closed Rn engineering. The theme of decompo- sets in . It gives the three characterizations of continuity: sition into eigenspaces leads to sensible explanations of both via epsilon-delta, sequences, and open sets. It gives the three theoretical and applied phenomena. This second edition includes characterizations of compactness: as “closed and bounded,” via a series of explorations allowing the reader to use technology for sequences, and via open covers. Topics include Fourier series, the a deeper examination of the material. Gamma function, metric spaces, and Ascoli’s Theorem. 2008; 371 pp.; hardcover; ISBN: 978-0-8218-4441-0; List US$59; AMS The text not only provides efficient proofs, but also shows the members US$47; Order code: MBK/50 student how to come up with them. The excellent exercises come with select solutions in the back. Here is a real analysis text that is short enough for the student to read and understand Analysis and complete enough to be the primary text for a serious under- graduate course. 2005; 151 pp.; hardcover; ISBN: 978-0-8218-3670-5; List US$41; AMS The Metric Theory of Tensor Products members US$33; Order code: REAL Grothendieck’s Résumé Revisited Joe Diestel, Kent State University, OH, Jan H. Fourie, North- West University, Potchefstroom, South Africa, and Johan Swart, Real Analysis and University of Pretoria, South Africa Applications 2008; 278 pp.; hardcover; ISBN: 978-0-8218-4440-3; List US$79; AMS Including Fourier Series and members US$63; Order code: MBK/52 the Calculus of Variations Frank Morgan, Williams College, Fundamentals of the Theory of Operator Williamstown, MA Algebras. Volume III Real Analysis and Applications starts Special Topics, Elementary Theory—An Exercise with a streamlined, but complete approach to real analysis. It finishes Approach with a wide variety of applications Richard V. Kadison, University of Pennsylvania, Philadelphia, in Fourier series and the calculus PA, and John R. Ringrose, University of Newcastle, Newcastle of variations, including minimal surfaces, physics, economics, upon Tyne, England Riemannian geometry, and general relativity. The basic theory Distributed worldwide by the American Mathematical Society. includes all the standard topics: limits of sequences, topology, 1991; 273 pp.; hardcover; ISBN: 978-0-8218-0990-7; List US$41; AMS compactness, the Cantor set and fractals, calculus with the members US$33; Order code: FTOAN/3 Riemann integral, a chapter on the Lebesgue theory, sequences of functions, infinite series, and the exponential and Gamma functions. The applications conclude with a computation of the Fundamentals of the Theory of Operator relativistic precession of Mercury’s orbit, which Einstein called Algebras. Volume IV “convincing proof of the correctness of the theory [of General Relativity].” Special Topics, Advanced Theory—An Exercise The text not only provides clear, logical proofs, but also shows the Approach student how to come up with them. The excellent exercises come Richard V. Kadison, University of Pennsylvania, Philadelphia, with select solutions in the back. Here is a text which makes it PA, and John R. Ringrose, University of Newcastle, Newcastle possible to do the full theory and significant applications in one upon Tyne, England semester. Distributed worldwide by the American Mathematical Society. 2005; 197 pp.; hardcover; ISBN: 978-0-8218-3841-9; List US$41; AMS members US$33; Order code: REALAPP 1992; 587 pp.; hardcover; ISBN: 978-0-8218-0991-4; List US$62; AMS members US$50; Order code: FTOAN/4 Order Online | www.ams.org/bookstore 3 mmisc-catalog09-7x10.inddisc-catalog09-7x10.indd 3 112/16/092/16/09 11:54:54 PPMM Invariant Measures Tools of the Trade John von Neumann Introduction to Advanced 1999; 134 pp.; softcover; ISBN: 978-0-8218-0912-9; List US$43; AMS Mathematics members US$34; Order code: INMEAS Paul J. Sally, Jr., University of Chicago, IL This book is designed to assist Applications students in mastering the tech- niques of analysis and proof needed to do advanced mathematics. Models of Conflict Projects at the end of each chapter and Cooperation form an integral part of the text and cover topics such as group theory, convergence of infinite series Rick Gillman, Valparaiso and decimal expansions of real numbers. A collection of chal- University, IN, and David lenge problems tests students’ mathematical creativity. Housman, Goshen College, IN 2008; 193 pp.; hardcover; ISBN: 978-0-8218-4634-6; List US$49; AMS This book offers an introduction members US$39; Order code: MBK/55 to the principles and methodolo- gies of mathematics by means of Complex Function Theory mathematical game theory, helping to build the fundamental mathe- Second Edition matical skills of quantitative literacy Donald Sarason, University of California, Berkeley, CA in general undergraduates. The game models that are discussed include deterministic, strategic, This concise introduction to the theory of functions of a complex sequential, bargaining, coalition, and fair division games. The variable is ideal for a one-semester course on the subject. The reader will begin to think like a mathematician while progressing author, a master of the subject, covers the basic material through through the text. Cauchy’s theorem and applications, plus the Riemann mapping 2009; 417 pp.; hardcover; ISBN: 978-0-8218-4872-2; List US$69; AMS theorem. This second edition includes four appendices with members US$55; Order code: MBK/65 needed background. 2007; 163 pp.; hardcover; ISBN: 978-0-8218-4428-1; List US$39; AMS members US$31; Order code: MBK/49 Essays on the Complexity of Continuous Problems Approximately Erich Novak, University of Jena, Germany, Ian H. Sloan, Calculus University of New South Wales, Sydney, Australia, and Joseph F. Traub and Henryk Woz´ niakowski, Columbia University, New Shahriar Shahriari, Pomona York, NY College, Claremont, CA A publication of the European Mathematical Society (EMS). This fascinating book is a novel Distributed within the Americas by the American Mathematical Society. approach to undergraduate 2009; 105 pp.; hardcover; ISBN: 978-3-03719-069-2; List US$28; AMS members US$22; Order code: EMSCCP analysis, which combines most topics in single variable calculus with some elementary number theory. ... It is very Differential Equations well written and fully engages readers in its developments, often beginning with Dynamics on the Riemann Sphere examples and leading them to develop generalizations A Bodil Branner Festschrift and, ultimately, theorems and proofs. ... An attractive book, well worth consulting for ideas on presenting Poul Hjorth, Technical
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