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mmisc-catalog09-7x10.inddisc-catalog09-7x10.indd 1 112/16/092/16/09 1:541:54 PMPM 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 ...... 3

Analysis ...... 3

Applications ...... 4

Differential Equations ...... 4

Discrete Mathematics and Combinatorics ...... 5

General and Interdisciplinary ...... 5

Geometry and Topology ...... 11

Mathematical Physics ...... 12

Number Theory ...... 13

Probability ...... 13

Ordering Information ...... 14

Index ...... 15

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mmisc-catalog09-7x10.inddisc-catalog09-7x10.indd 2 112/16/092/16/09 1:541:54 PMPM 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

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mmisc-catalog09-7x10.inddisc-catalog09-7x10.indd 3 112/16/092/16/09 1:541:54 PMPM Invariant Measures Tools of the Trade 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 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 . ... 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 University of Denmark, Lyngby, topics, or for examples. Denmark, and Carsten Lunde Petersen, Roskilde University, Denmark, Editors —J. H. Ellison, Choice Reviews A publication of the European Mathematical Society (EMS). 2006; 292 pp.; hardcover; ISBN: 978-0-8218-3750-4; List US$49; AMS Distributed within the Americas by the American Mathematical Society. members US$39; Order code: ACALC 2006; 240 pp.; hardcover; ISBN: 978-3-03719-011-1; List US$79; AMS members US$63; Order code: EMSDRS

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mmisc-catalog09-7x10.inddisc-catalog09-7x10.indd 4 112/16/092/16/09 1:541:54 PMPM Individual members of mathematical societies of the IMU member Discrete Mathematics and countries can purchase this volume at the AMS member price when buying directly from the AMS. Combinatorics 2000; 459 pp.; softcover; ISBN: 978-0-8218-2697-3; List US$43; AMS members US$34; Order code: MFP.S Discrete Mathematics Martin Aigner, Freie Universität Stephen Smale: The Mathematician Who Berlin, Germany Broke the Dimension Barrier Aigner offers a very enjoyable Steve Batterson, Emory University, Atlanta, GA review of discrete mathematics 2000; 306 pp.; hardcover; ISBN: 978-0-8218-2045-2; List US$39; AMS at the graduate level. members US$31; Order code: MBDB —Choice Reviews This introduction to the main ideas Codebreakers and results of discrete mathematics Arne Beurling and the Swedish Crypto Program will appeal to mathematicians and during World War II computer scientists alike because of its focus on algorithms. The book seeks to present all the topics Bengt Beckman necessary for further study in the areas making up discrete math- 2003; 259 pp.; hardcover; ISBN: 978-0-8218-2889-2; List US$43; AMS ematics. More than 600 exercises are included, with hints and members US$34; Order code: SWCRY solutions to about half of them. 2007; 388 pp.; hardcover; ISBN: 978-0-8218-4151-8; List US$59; AMS members US$47; Order code: DISCMAT Starting Our Careers A Collection of Essays and Advice on Professional General and Interdisciplinary Development from the Young Mathematicians’ Network Grothendieck-Serre Correspondence Curtis D. Bennett, Bowling Green State University, OH, and Annalisa Crannell, Franklin & Marshall College, Lancaster, PA, Bilingual Edition Editors This extraordinary volume contains mathematical correspon- 1999; 116 pp.; softcover; ISBN: 978-0-8218-1543-4; List US$26; AMS dence between A. Grothendieck and J-P. Serre, two central members US$21; Order code: SOC figures who were key to the development of . This correspondence forms a vivid introduction to the topic during a period of years in which algebraic geometry went The Millennium Prize Problems through a remarkable transformation. This book will interest all James Carlson, Clay Mathematics Institute, Cambridge, mathematicians who want to experience the unfolding of great MA, Arthur Jaffe, Harvard University, Cambridge, MA, and mathematics; strongly recommended for booksellers. Andrew Wiles, Institute for Advanced Study, Princeton, NJ, This book is jointly published by the AMS and the Société Editors Mathématique de France. SMF members are entitled to AMS member discounts. Given the interest generated by the Millennium 2004; 600 pp.; hardcover; ISBN: 978-0-8218-3424-4; List US$72; AMS Problems, this book should be in every mathematics members US$58; Order code: CGS library ... —MAA Reviews Mathematics: Frontiers and Perspectives This text describes the seven mathematical problems that V. Arnold, University of Paris IX, France, and Steklov represent the most important and challenging issues for math- Mathematical Institute, Moscow, Russia, M. Atiyah, University ematicians, and places these problems in a broader historical of Edinburgh, Scotland, P. L a x , New York University-Courant context. An essay on the history of prize problems in math- Institute of Mathematical Sciences, NY, and B. Mazur, Harvard ematics gives this text broad appeal among those interested in University, Cambridge, MA, Editors mathematics. The Millennium Prize problems reflect the spon- soring Clay Mathematics Institute’s goal of furthering the beauty The mere names of the editors ensure that [the book] and power of mathematical thinking. is fascinating and exciting … Do sample them! A co-publication of the AMS and the Clay Mathematics Institute —CMS Notes (Cambridge, MA). 2006; 165 pp.; hardcover; ISBN: 978-0-8218-3679-8; List US$29; AMS Editors Michael Atiyah and Peter Lax were winners of the members US$23; Order code: MPRIZE famous Abel Prize awarded by The Norwegian Academy of Science and Letters for outstanding work in mathematics.

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mmisc-catalog09-7x10.inddisc-catalog09-7x10.indd 5 112/16/092/16/09 1:541:54 PMPM informative, accessible, and entertaining appealing to a broad mathematical readership

Riot at the Calc Exam and Other Art for a House of Mathematics Mathematically Bent Stories Anna Campbell Bliss, Bliss Studio Publications, Salt Lake City, UT Colin Adams, Williams College, Williamstown, MA Bliss has created an astonishingly beautiful work of This collection of humorous mathematics stories gives the art, which I’m sure will inspire students, artists and reader a sense of what it would be like to participate in a math- ematical world that is far from dreary. Several of the ideas for mathematicians that work in the “House” for a long the stories were derived from lunchtime discussions at the time to come. humorous and friendly mathematics department at Williams —Leonardo Reviews College. The stories resonate with both mathematicians and laypeople with an interest in mathematics. A publication of Bliss Studio Publications. Distributed non-exclusively worldwide by the American Mathematical Society. 2009; 271 pp.; softcover; ISBN: 978-0-8218-4817-3; List US$32; AMS 2006; 53 pp.; softcover; ISBN: 978-0-9754915-1-5; List US$15; Order code: members US$26; Order code: MBK/62 AHM

Mathematics under the Microscope Five-Minute Mathematics Notes on Cognitive Aspects of Mathematical Ehrhard Behrends, Freie Universität Berlin, Germany Practice Translated by David Kramer Alexandre V. Borovik, University of Manchester, United Kingdom This book, a breath of fresh air, makes mathematics a delight and fun for almost any reader. ... I highly This entertaining book seeks to start a dialogue between math- recommend this book for any teacher looking for a ematicians and cognitive scientists, as it discusses the mystery of mathematical intuition from a working mathematician’s way to get students interested in mathematics—again perspective. It demonstrates that the same patterns of thinking or for the first time. characterize the most elementary and the most cutting-edge —Joyce Fischer, for NCTM’s “Mathematics Teacher” mathematics. The book will inspire mathematicians as well as those who have thought little about mathematics since their 2008; 380 pp.; softcover; ISBN: 978-0-8218-4348-2; List US$35; AMS school years. members US$28; Order code: MBK/53 2010; approximately 331 pp.; hardcover; ISBN: 978-0-8218-4761-9; List US$59; AMS members US$47; Order code: MBK/71

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mmisc-catalog09-7x10.inddisc-catalog09-7x10.indd 6 112/16/092/16/09 1:541:54 PMPM A Mathematician Looks at Voting Donald G. Saari

TRIANGLE OF THOUGHTS

Physics Mathematics Philosophy

ALAIN CONNES ANDRE´ LICHNEROWICZ MARCEL PAUL SCHUTZENBERGER¨

Change Is Possible Famous Puzzles of Great Mathematicians Stories of Women and Minorities in Mathematics Miodrag S. Petkovic´ , University of Nis, Serbia Patricia Clark Kenschaft, Montclair State University, This is the only collection in English of puzzles and challenging Upper Montclair, NJ elementary mathematical problems posed, discussed and solved by great mathematicians. The book is intended to amuse and Kenschaft reveals the passions that motivated past entertain while bringing the reader closer to the distinguished and present mathematicians and the obstacles they mathematicians through their works and some compelling overcame to achieve their dreams. Through research personal stories. The selected problems simply require pencil and in-depth personal interviews, she has explored and paper and a healthy amount of persistence. the sensitive issues of racism and sexism, rejoicing in 2009; 325 pp.; softcover; ISBN: 978-0-8218-4814-2; List US$36; AMS positive changes and alerting us to issues that still members US$29; Order code: MBK/63 need our attention. —Claudia Zaslavsky, the author of “Africa Counts” Chaotic Elections! A Mathematician and other books on equality issues in mathematics Looks at Voting education Donald G. Saari, University of California, Irvine, CA

2005; 212 pp.; softcover; ISBN: 978-0-8218-3748-1; List US$30; AMS Read it and read it soon so that you can expand your members US$24; Order code: CHANGE mathematical horizons, upgrade your civic awareness, and sparkle at social events. Bourbaki —MAA Online A Secret Society of Mathematicians 2001; 159 pp.; softcover; ISBN: 978-0-8218-2847-2; List US$25; AMS members US$20; Order code: ELECT Maurice Mashaal, Pour la Science, Paris, France

There are marvelous biographical essays; a fine Triangle of Thoughts account of the actual historical figure, Nicholas Alain Connes, André Lichnerowicz, and Marcel Paul Bourbaki ... highly appealing stuff ... fantastic pictures Schützenberger ... It’s great fun. —MAA Reviews Our view of the world today is fundamentally influenced by twentieth century results in physics and mathematics. Here, This book lifts the veil from a secret society in which spirited three members of the French Academy of Sciences: Alain debate, good humor, and a unified purpose helped generate the Connes, André Lichnerowicz, and Marcel Paul Schützenberger, most influential mathematical treatise of the 20th century. It discuss the relations among mathematics, physics and philos- chronicles how the Bourbaki group saw its mission grow into ophy, and other sciences. The conversations are sprinkled with creation of a universal collection of mathematical tools, shaping stories and quotes from outstanding scientists, which enliven the thought on mathematics from 1950 to the 1970s. Remarkable discourse. The book will make you think again about things that photographs and rich anecdotes enliven the text. you once thought were quite familiar. 2006; 168 pp.; softcover; ISBN: 978-0-8218-3967-6; List US$29; AMS 2001; 179 pp.; hardcover; ISBN: 978-0-8218-2614-0; List US$34; AMS members US$23; Order code: BOURBAKI members US$27; Order code: TOT

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mmisc-catalog09-7x10.inddisc-catalog09-7x10.indd 7 112/16/092/16/09 1:541:54 PMPM On Being a Department Learning LaTeX Head, a Personal View David F. Griffiths, University of Dundee, Scotland, and John B. Conway, University of Desmond J. Higham, University of Strathclyde, Glasgow, Tennessee, Knoxville, TN Scotland Published by the Society for Industrial and Applied Mathematics. Provokes the reader to think Distributed non-exclusively worldwide by the American Mathematical through some of the difficult Society. issues … There are few 1997; 84 pp.; softcover; ISBN: 978-0-89871-383-1; List US$26; Individual books that deal so directly member US$18; Order code: LLTEX with running a University department and therefore I Have a Photographic Memory this book should be read by Paul R. Halmos, Santa Clara University, CA anyone with an interest in that endeavour. Its easy 1987; 326 pp.; softcover; ISBN: 978-0-8218-1939-5; List US$45; AMS style and treatment of universal management issues members US$36; Order code: PHOMEM.S make it worthy of a wider audience. —The Mathematical Gazette 1997; 107 pp.; softcover; ISBN: 978-0-8218-0615-9; List US$27; AMS Making Mathematics members US$22; Order code: AHEAD Come to Life A Guide for Teachers and The Coxeter Legacy Students Reflections and Projections O. A. Ivanov, St. Petersburg State University, Russia Chandler Davis and Erich W. Ellers, University of Toronto, ON, Canada, Editors This collection of elementary prob- lems and theoretical material is A co-publication of the AMS and The Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada). designed to inspire students who 2006; 320 pp.; hardcover; ISBN: 978-0-8218-3722-1; List US$69; AMS want to learn more mathematics members US$55; Order code: COXETER beyond a traditional high school curriculum, as well as teachers seeking a bridge between school mathematics and higher math- Solutions Manual for Techniques ematics. The book resembles a good lecture course that leaves of Problem Solving students with more than the standard lecture material. The Luis Fernández and Haedeh Gooransarab, Washington reader will be able to solve most of the more than 300 problems. University, St. Louis, MO 2009; approximately 334 pp.; hardcover; ISBN: 978-0-8218-4808-1; List US$69; AMS members US$55; Order code: MBK/61 1997; 188 pp.; softcover; ISBN: 978-0-8218-0628-9; List US$15; AMS members US$12; Order code: SMTPS Arithmetic for Teachers Mathematical Impressions With Applications and Topics from Geometry Anatoliı˘ T. Fomenko, Moscow State University, Russia Gary R. Jensen, Washington University, St. Louis, MO Presentations are perfect … highly recommended as visualization of mathematics, as a presentation Excellent teaching of mathematics at the elementary school level requires that the teacher be an expert in school mathematics. of mathematics through artwork combined with This textbook for prospective teachers presents topics from emotional, historical or mythical aspects. the K–6 mathematics curriculum, but at a greater depth than is —Zentralblatt MATH usually found in the classroom. The added knowledge that comes 1991; 184 pp.; hardcover; ISBN: 978-0-8218-0162-8; List US$22; AMS from this approach gives the teacher essential insight into how members US$18; Order code: MATIMP the topics interrelate and where difficulties might lie. 2003; 383 pp.; hardcover; ISBN: 978-0-8218-3418-3; List US$62; AMS members US$50; Order code: FOA More Math into LATEX 4th Edition Guide to LAT X: Fourth Edition George Grätzer, University of Manitoba, Canada E Helmut Kopka and Patrick W. Daly, Max Planck Institut für Published by Springer Verlag. Distributed by the American Aeronomie, Katlenburg-Lindau, Germany Mathematical Society. 2007; 650 pp.; softcover; ISBN: 978-0-387-32289-6; List US$50; AMS Published by Addison-Wesley. Distributed non-exclusively worldwide members US$40; Order code: MMLTEX by the American Mathematical Society. 2004; 597 pp.; softcover; ISBN: 978-0-321-17385-0; List US$49.99; Individual member US$45; Order code: GLTEX

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mmisc-catalog09-7x10.inddisc-catalog09-7x10.indd 8 112/16/092/16/09 1:541:54 PMPM A Mathematician’s Mathematical Publishing A Mathematician’s Survival Guide A Guidebook Survival Guide Graduate School and Early Steven G. Krantz, Washington University, St. Louis, MO Graduate School Career Development and Early Career Every mathematician is involved in publishing. Throughout our Development Steven G. Krantz, Washington careers, we are expected to publish our work: in journals, confer- University, St. Louis, MO Steven G. Krantz ence proceedings and books. Later, we may be called to serve as an editor for a journal or book series. However, our training is Very valuable for the for doing the mathematics, not publishing it. Here, finally, is a prospective student … guidebook to the publishing of mathematics. It describes both definitely recommend to every the general setting of mathematical publishing and the specifics mathematics department to of all the various publishing situations a mathematician may keep a copy of this book for their undergraduate and encounter. graduate students. 2005; 297 pp.; softcover; ISBN: 978-0-8218-3699-6; List US$30; AMS —MAA Online members US$24; Order code: MATPUB 2003; 222 pp.; softcover; ISBN: 978-0-8218-3455-8; List US$29; AMS members US$23; Order code: GSCM A Primer of Mathematical Writing Steven G. Krantz, Washington The Survival of a University, St. Louis, MO Mathematician Krantz’s book is lively, From Tenure-Track to entertaining and provides Emeritus many amusing anecdotes … Steven G. Krantz, Washington [an] excellent and worthy University, St. Louis, MO candidate for a statistician’s [Krantz] provides very library … more useful on useful advice for research your personal bookshelf than mathematicians. It is clear in a shared library, so it can be consulted regularly. from this book and his —Australian and New Zealand Journal of Statistics others that Krantz loves 1997; 223 pp.; softcover; ISBN: 978-0-8218-0635-7; List US$22; AMS his profession. ... In short, this would be a perfect members US$18; Order code: PMW graduation gift for a new Ph.D. mathematician, especially if bundled with How to Teach Mathematics. Techniques of —MAA Reviews Problem Solving 2009; 310 pp.; softcover; ISBN: 978-0-8218-4629-2; List US$39; AMS Techniques of Steven G. Krantz, Washington members US$31; Order code: MBK/60 Problem Solving University, St. Louis, MO Steven G. Krantz Krantz has collected a How to Teach Mathematics, thoroughly engaging arsenal Second Edition of problems and problem- solving techniques. Most Steven G. Krantz, Washington University, St. Louis, MO scientists will want to

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FO 8 U 88 This book is a must read for instructors preparing NDED 1 have a copy for personal their courses for next semester. reference and for the mental —MAA Online stimulation that it provides. —Choice Reviews This expanded edition of the original bestseller, How to Teach Mathematics, offers hands-on guidance for teaching mathe- [T]his superb book connects the worlds of great mathe- matics in the modern classroom setting. Twelve appendices have matical problems with effective classroom instruction. been added that are written by experts who have a wide range of —The Mathematics Teacher opinions and viewpoints on the major teaching issues. 1997; 465 pp.; softcover; ISBN: 978-0-8218-0619-7; List US$38; AMS 1999; 307 pp.; softcover; ISBN: 978-0-8218-1398-0; List US$27; AMS members US$30; Order code: TPS members US$22; Order code: HTM/2

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mmisc-catalog09-7x10.inddisc-catalog09-7x10.indd 9 112/16/092/16/09 1:541:54 PMPM European Congress of Mathematics How to Write Mathematics Stockholm, June 27 – July 2, 2004 N. E. Steenrod, P. R . H a l m o s , M. M. Schiffer, and J. A. Dieudonné Ari Laptev, Royal Institute of Technology, Stockholm, Sweden, Editor This classic guide contains four essays on writing mathematical A publication of the European Mathematical Society (EMS). books and papers at the research level and at the level of graduate Distributed within the Americas by the American Mathematical Society. texts. The authors are all well known for their writing skills, as 2005; 900 pp.; hardcover; ISBN: 978-3-03719-009-8; List US$138; AMS well as their mathematical accomplishments. members US$110; Order code: EMSEMC/2004 1973; 64 pp.; softcover; ISBN: 978-0-8218-0055-3; List US$20; AMS members US$16; Order code: HWM John von Neumann Structure and John von Neumann The Scientific Genius Who Randomness The Scientific Genius Pioneered the Modern Who Pioneered the pages from year one of Computer, Game Theory, Modern Computer, a mathematical blog Game Theory, Nuclear Deterrence, and Nuclear Deterrence, Terence Tao, University of and Much More Much More California, Los Angeles, CA Norman Macrae NORMAN MACRAE The resulting book is a highly In [Tao’s book] we have a fascinating glimpse into

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A the mind of one of the best AMERICAN MATHEMATICAL SOCIETY F 8 OU 88 NDED 1 difficult to put down. mathematicians working today. —Journal of Mathematical —American Scientist Psychology This collection of articles from Tao’s research blog captures the The book makes for utterly captivating reading... insight, the inquisitiveness and even the playfulness of a great —Daniel J. Kevles, California Institute of Technology mathematician at the height of his influence. His contributions in 1992; 406 pp.; softcover; ISBN: 978-0-8218-2676-8; List US$32; AMS diverse allow him to establish connections members US$26; Order code: JVNM.S between seemingly disparate subjects. An informal approach to the writing focuses on general ideas rather than detailed techniques. The LAT X Companion, Second Edition 2008; 298 pp.; softcover; ISBN: 978-0-8218-4695-7; List US$35; AMS E members US$28; Order code: MBK/59 Tools and Techniques for Computer Typesetting Frank Mittelbach, University of Mainz, Germany, Michel Poincaré’s Legacies, Part I Goossens, European Organization for Nuclear Research, pages from year two of a mathematical blog CERN, Genève, Switzerland, Johannes Braams, Royal KPN N V, The Hague, Netherlands, David Carlisle, NAG, Ltd., Oxford, Terence Tao, University of California, Los Angeles, CA England, and Chris Rowley, Open University, Milton Keynes, This first part of the second-year posts on Terence Tao’s research England blog focuses on ergodic theory, combinatorics and number Published by Addison-Wesley. Distributed non-exclusively worldwide theory. Recurrence theorems about dynamical systems are used by the American Mathematical Society. to prove some deep theorems in combinatorics and other areas 2004; 1087 pp.; softcover; ISBN: 978-0-201-36299-2; List US$65; AMS of mathematics. The posts are self-contained and accessible, members US$59; Order code: LATEXC and feedback from blog readers has been incorporated into the material. The Fermat Diary 2009; 293 pp.; softcover; ISBN: 978-0-8218-4883-8; List US$39; AMS members US$31; Order code: MBK/66 C. J. Mozzochi, Princeton, NJ Mozzochi provides us with a great deal of valuable Poincaré’s Legacies, Part II primary data. The photographs, in particular, will be pages from year two of a mathematical blog of great value to future historians. Terence Tao, University of California, Los Angeles, CA —American Scientist 2000; 196 pp.; hardcover; ISBN: 978-0-8218-2670-6; List US$32; AMS This second part of the second-year posts on Terence Tao’s members US$26; Order code: FERMATD research blog focuses on geometry, topology and partial differ- ential equations. It features lecture notes from Tao’s course on the Poincaré conjecture and its recent spectacular solution by Perelman. The posts are self-contained and accessible, and feed- back from blog readers has been incorporated into the material. 2009; 292 pp.; softcover; ISBN: 978-0-8218-4885-2; List US$39; AMS members US$31; Order code: MBK/67

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mmisc-catalog09-7x10.inddisc-catalog09-7x10.indd 1100 112/16/092/16/09 1:541:54 PMPM Euler Through Time Knots are familiar objects. We use them to moor our boats, to wrap our packages, to tie our shoes. Yet the mathematical theory A New Look at Old Themes of knots quickly leads to deep results in topology and geometry. V. S. Varadarajan, University of The Knot Book is an introduction to this rich theory, starting from California, Los Angeles, CA our familiar understanding of knots and a bit of college algebra and finishing with exciting topics of current research. This book has been written The Knot Book is also about the excitement of doing mathematics. with the greatest insight, Colin Adams engages the reader with fascinating examples, expertise, experience, and superb figures, and thought-provoking ideas. He also presents passion on the part of the the remarkable applications of knot theory to modern chemistry, author’s, and it should be seen biology, and physics.

as what it really is: a cultural 2004; 307 pp.; softcover; ISBN: 978-0-8218-3678-1; List US$30; AMS jewel in the mathematical members US$24; Order code: KNOT literature as a whole! —Zentralblatt MATH Computational Topology 2006; 302 pp.; hardcover; ISBN: 978-0-8218-3580-7; List US$59; AMS members US$47; Order code: EULER An Introduction Herbert Edelsbrunner, Duke University, Durham, NC, and Roots to Research Geomagic, Research Triangle Park, NC, and John L. Harer, Duke University, Durham, NC A Vertical Development of Mathematical Problems This text offers a combination of topics in geometry, topology and Judith D. Sally, Northwestern University, Evanston, IL, and Paul algorithms, in a manner showing how the fields benefit from one J. Sally, Jr., University of Chicago, IL another. It develops all the background of both the mathematical The authors have done a remarkable job of giving a and algorithmic aspects of computational topology from first seamless presentation of material at very different principles. It builds intuition by relating the material to situations in different walks of life. levels of difficulty. Teachers and students will 2010; 241 pp.; hardcover; ISBN: 978-0-8218-4925-5; List US$59; AMS appreciate this book both for the information it members US$47; Order code: MBK/69 contains and as a model of expository writing. — Poncelet’s Theorem This book traces the full range of mathematics needed to under- Leopold Flatto stand the emergence of five mathematical problems whose origins lie in the elementary school curriculum. Readers can return to the Physically, the book is compact and beautifully most advanced aspects of the problems as they gain mathematical produced, and its 235 pages and 15 chapters reveal its experience. The progression from elementary to advanced math- enormous mathematical scope. In fact, it may be said ematics gives this book broad appeal to students and teachers. that Leopold Flatto has created a mathematical gem... 2007; 338 pp.; hardcover; ISBN: 978-0-8218-4403-8; List US$49; AMS members US$39; Order code: MBK/48 —MAA Reviews This book is devoted to proofs of Poncelet’s theorem using elliptic functions and dynamical systems. The author uses a lucid, Geometry and Topology careful style to uncover a hidden thread tying Poncelet’s theorem to billiards in an ellipse and parallel queues. The book takes a The Knot Book modern approach, with material not previously available in book form. An Elementary Introduction 2009; 240 pp.; hardcover; ISBN: 978-0-8218-4375-8; List US$49; AMS to the Mathematical Theory members US$39; Order code: MBK/56 of Knots Colin C. Adams, Williams College, Lessons in Geometry Williamstown, MA From reviews of the first I. Plane Geometry edition: Jacques Hadamard Amazingly understandable … This internationally renowned geometry text goes well beyond the basics of plane Euclidean geometry, in a way that is both pleasingly After reading it twice, I still classic and surprisingly modern. This book established the tradi- pick it up and scan it … this tion of teaching geometry throughout the world. Much of its value book belongs in every mathematical library. lies in more than 450 problems, whose solutions open worlds to —Charles Ashbacher, Book Reviews Editor, Journal of the engaged reader. Recreational Mathematics 2008; 330 pp.; hardcover; ISBN: 978-0-8218-4367-3; List US$59; AMS members US$47; Order code: MBK/57

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mmisc-catalog09-7x10.inddisc-catalog09-7x10.indd 1111 112/16/092/16/09 1:541:54 PMPM Hadamard’s Plane Geometry Mathematical Physics A Reader’s Companion Mark Saul, Education Development Center, Newton, MA Quantum Fields Quantum Fields and This volume offers solutions to the problems in the first part and Strings: A Course Strings: A Course for of Jacques Hadamard’s massive two-volume work Lessons in for Mathematicians Mathematicians Geometry, focusing on plane geometry. The solutions strive to Pierre Deligne, Institute for connect the general methods given in the text with intuitions that Advanced Study, Princeton, NJ, are natural to the subject. High school teachers and gifted high Pavel Etingof, Massachusetts school students are among the book’s targeted readers, as the Institute of Technology, Cambridge, text requires only an ability to follow an argument in elementary MA, Daniel S. Freed, University geometry. of Texas, Austin, TX, Lisa C. Pierre Deligne David Kazhdan Pavel Etingof John W. Morgan A co-publication of the AMS and Education Development Center. Daniel S. Freed David R. Morrison Jeffrey, University of Toronto, Lisa C. Jeffrey Edward Witten Editors

THEMAT 2010; approximately 351 pp.; hardcover; ISBN: 978-0-8218-4368-0; List A IC M A ΤΡΗΤΟΣ ΜΗ L ON, Canada, David Kazhdan, N ΕΙΣΙΤΩ A S

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A Institute for Advanced Study F US$59; AMS members US$47; Order code: MBK/70 O 8 U 8 NDED 18 Harvard University, Cambridge, MA, John W. Morgan, Columbia The Wild World of University, New York, NY, David R. Morrison, Duke University, 4-Manifolds Durham, NC, and Edward Witten, Institute for Advanced Study, THE WILD Princeton, NJ, Editors WORLD OF Alexandru Scorpan, University of 4–MANIFOLDS Florida, Gainesville, FL An immense amount of valuable material on recent developments. The development of classical ALEXANDRU SCORPAN The book gives an excellent overview of 4-manifolds, with supersymmetry by Deligne and collaborators is careful many figures and historical and systematic … masterful treatment …the book is a notes. Graduate students, magnificent achievement. nonexperts, and experts alike —SIAM Review

AMERICAN MATHEMATICAL SOCIETY will enjoy browsing through it. To order individual parts/volumes or the complete set, please specify the relevant order code. —Robion C. Kirby, University Volume 1: 1999; 723 pp.; softcover; ISBN: 978-0-8218-2012-4; List US$32; of California, Berkeley AMS members US$26; Order code: QFT/1.S; Volume 2: 1999; 777 pp.; softcover; ISBN: 978-0-8218-2013-1; List US$32; AMS members US$26; This book offers a panorama of the topology of simply-connected Order code: QFT/2.S; Set: 1999; 1501 pp.; softcover; ISBN: 978-0-8218- smooth manifolds of dimension four. 2014-8; List US$58; AMS members US$46; Order code: QFT/1/2.S The structure of the book is modular, organized into a main track of about two hundred pages, augmented by extensive notes at the end Highlights of Mathematical Physics of each chapter, where many extra details, proofs and developments A. Fokas, Cambridge University, UK, and J. Halliwell, T. Kibble, are presented. The text is peppered with over 250 illustrations and and B. Zegarlinski, Imperial College, London, UK, Editors has an extensive index. 2002; 271 pp.; hardcover; ISBN: 978-0-8218-3223-3; List US$54; AMS 2005; 609 pp.; hardcover; ISBN: 978-0-8218-3749-8; List US$72; AMS members US$43; Order code: HMP members US$58; Order code: FOURMAN

Elementary Topology Five Lectures on Supersymmetry Problem Textbook Daniel S. Freed, University of O. Ya. Viro, Stony Brook University, NY, O. A. Ivanov, Steklov Texas, Austin, TX Institute of Mathematics, St. Petersburg, Russia, N. Yu. Five Netsvetaev, St. Petersburg State University, Russia, and V. M. Lectures The exposition is clear, Kharlamov, University Louis Pasteur, Strasbourg Cedex, France on concise, and direct, and the Supersymmetry With its selection of topics and its interesting, unique topics are very well chosen. A Daniel S. Freed format, this book could be very useful as a graduate brief list of references for each lecture is also included.

THEMA text for a first course in topology. A TI C M A N ΤΡΗΤΟΣ ΜΗ L A ΕΙΣΙΤΩ S C O

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F —Mathematical Reviews OU 88 —Mathematical Reviews NDED 18 1999; 119 pp.; softcover; ISBN: 978-0-8218- This text contains a detailed introduction to general topology and 1953-1; List US$26; AMS members US$21; Order code: FLS an introduction to algebraic topology via its most classical and elementary segment. Proofs of theorems are separated from their formulations and are gathered at the end of each chapter, making this book appear like a problem book and also giving it appeal to the expert as a handbook. The book includes about 1,000 exercises. 2008; 400 pp.; hardcover; ISBN: 978-0-8218-4506-6; List US$59; AMS members US$47; Order code: MBK/54

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mmisc-catalog09-7x10.inddisc-catalog09-7x10.indd 1122 112/16/092/16/09 1:541:54 PMPM Building on prior work on the theory of fractals, string theory Number Theory and noncommutative geometry, this book offers a new approach to understanding and possibly solving the , Those Fascinating Numbers the most multifaceted open problem in mathematics. The book’s diverse approach to the subject appeals to both rigor and intu- Jean-Marie De Koninck, Université Laval, Quebec, QC, Canada ition. A large amount of background material makes this complex Translated by Jean-Marie De Koninck subject accessible to non-experts. This book provides a listing of positive integers along with their 2008; 558 pp.; hardcover; ISBN: 978-0-8218-4222-5; List US$79; AMS most remarkable properties, serving as a vehicle to explore elemen- members US$63; Order code: MBK/51 tary and advanced topics in classical number theory. Each of the open problems included in the book represents an enigma that will Not Always Buried stimulate the reader’s curiosity. The book offers a variety of features, including short proofs of key results and various algorithms. Deep 2009; 426 pp.; softcover; ISBN: 978-0-8218-4807-4; List US$49; AMS A Second Course in members US$39; Order code: MBK/64 Elementary Number Theory Paul Pollack, University of Illinois, 1001 Problems in Classical Number Theory Urbana-Champaign, IL Jean-Marie De Koninck, Université Laval, Quebec, QC, Canada, This text for a second course on and Armel Mercier, Université du Québec à Chicoutimi, QC, elementary number theory high- Canada lights the many important results This translation of a French text offers an incomparable collec- that can be achieved through tion of problems in number theory, with appeal to everyone from elementary methods. Central topics the novice to the experienced mathematician. The problems are include Dirichlet’s theorem on primes in prescribed arithmetic presented in a way that compels the reader to attack the next one progressions, the Brun sieve, and the Erdös-Selberg proof of the eagerly. The problems reinforce a passion for both the beauty and prime number theorem. The book is structured so that readers lingering mystery of number theory. can pick up basic tools quickly and begin solving interesting 2007; 336 pp.; hardcover; ISBN: 978-0-8218-4224-9; List US$49; AMS problems. members US$39; Order code: PINT 2009; 303 pp.; hardcover; ISBN: 978-0-8218-4880-7; List US$62; AMS members US$50; Order code: MBK/68 The Number π Pierre Eymard Probability and Jean-Pierre Lafon A marvelous, rich book, suitable Introduction to for a large (mathematically Introduction to Probability trained) audience ... PROBABILITY Second Revised Edition —MAA Online Charles M. Grinstead, Swarthmore This is a clever, beautiful book. Charles M. Grinstead College, PA, and J. Laurie Snell, J. Laurie Snell The authors trace the thread of π Dartmouth College, Hanover, NH through the long history of math- ematics. In so doing, they touch The book is a beautiful upon many major subjects in mathematics: geometry (of course), introduction to probability number theory, Galois theory, probability, transcendental theory at the beginning

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F O 88 UN 18 level. The book contains a DED functions, which connects many of the other subjects. lot of examples and an easy 2004; 322 pp.; softcover; ISBN: 978-0-8218-3246-2; List US$38; AMS development of theory without any sacrifice of rigor, members US$30; Order code: TNP keeping the abstraction to a minimal level. It is indeed a valuable addition to the study of probability theory. In Search of the Riemann Zeros —Zentralblatt MATH Strings, Fractal Membranes and Noncommutative This text is designed for an introductory probability course at Spacetimes the university level for sophomores, juniors, and seniors in math- Michel L. Lapidus, University of California, Riverside, CA ematics, physical and social sciences, engineering, and computer science. It presents a thorough treatment of ideas and techniques The author and the AMS have done an excellent job necessary for a firm understanding of the subject. in the production of the book. ... Overall, this is a very 1997; 510 pp.; hardcover; ISBN: 978-0-8218-0749-1; List US$57; AMS interesting and very unconventional book. members US$46; Order code: IPROB —Mathematicial Reviews

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mmisc-catalog09-7x10.inddisc-catalog09-7x10.indd 1133 112/16/092/16/09 1:541:54 PMPM Markov Chains and Mixing Times David A. Levin, University of Oregon, Eugene, OR, Yuval Peres, Microsoft Research, Redmond, WA, and University of California, Berkeley, CA, and Elizabeth L. Wilmer, Oberlin College, OH Markov Chains and Mixing Times is a magical book, managing to be both friendly and deep. It gently introduces probabilistic techniques so that an outsider can follow. It is certainly THE book that I will use to teach from. I recommend it to all comers, an amazing achievement. —Persi Diaconis, Mary V. Sunseri Professor of Statistics and Mathematics, Stanford University

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

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mmisc-catalog09-7x10.inddisc-catalog09-7x10.indd 1144 112/16/092/16/09 1:541:54 PMPM 1001 Problems in Elementary Topology 12 Housman, David . . . 4 Mathematics: Frontiers Sadun, Lorenzo . . . . 3 Classical Number and Perspectives . . . 5 Theory ...... 13 Ellers, Erich W...... 8 How to Teach Sally, Judith D. . . . . 11 Mathematics, Mazur, B...... 5 Essays on the Complexity Second Edition . . . . 9 Sally, Paul J., Jr. . 4, 11 A of Continuous Mercier, Armel . . . . 13 Adams, Colin . . . 6, 11 Problems ...... 4 How to Write Sarason, Donald . . . . 4 Mathematics . . . . 10 The Metric Theory of Aigner, Martin . . . . . 5 Etingof, Pavel . . . . . 12 Tensor Products . . . 3 Saul, Mark ...... 12 Applied Linear Euler Through Time 11 I The Millennium Prize Schiffer, M. M. . . . . 10 Algebra ...... 3 I Have a Photographic Problems ...... 5 Schützenberger, European Congress Memory ...... 8 Approximately of Mathematics . . .10 Mittelbach, Frank . . 10 Marcel Paul ...... 7 Calculus ...... 4 In Search of the Scorpan, Alexandru .12 Eymard, Pierre . . . . 13 Riemann Zeros. . . 13 Models of Conflict Arithmetic for and Cooperation . . 4 Shahriari, Shahriar. . . 4 Teachers ...... 8 F Introduction to Famous Puzzles Probability ...... 13 More Math into Sloan, Ian H...... 4 Arnold, V...... 5 LATEX ...... 8 of Great Invariant Measures . . 4 Snell, J. Laurie . . . . 13 Art for a House of Mathematicians . . . 7 Morgan, Frank . . . . . 3 Mathematics . . . . . 6 Ivanov, O. A. . . . 8, 12 Solutions Manual for The Fermat Diary . . 10 Morgan, John W. . . 12 Techniques of Problem Atiyah, M...... 5 Fernandez, Luis . . . . 8 J Morrison, David R. 12 Solving ...... 8 Jaffe, Arthur ...... 5 B Five Lectures on Mozzochi, C. J. . . . 10 Starting Our Careers 5 Batterson, Steve . . . . 5 Supersymmetry . . . 12 Jeffrey, Lisa C. . . . . 12 Steenrod, N. E. . . . 10 N Beckman, Bengt . . . . 5 Five-Minute Jensen, Gary R. . . . . 8 Netsvetaev, N. Yu. . 12 Stephen Smale: The Behrends, Ehrhard . . 6 Mathematics . . . . . 6 John von Neumann .10 Mathematician Who Flatto, Leopold . . . .11 Not Always Buried Broke the Dimension Bennett, Curtis D. . . 5 K Deep ...... 13 Barrier ...... 5 Fokas, A...... 12 Bliss, Anna Campbell 6 Kadison, Richard V. . 3 Novak, Erich ...... 4 Structure and Fomenko, Anatoliı˘ T. 8 Borovik, Kazhdan, David . . . 12 The Number π . . . . 13 Randomness . . . . .10 Alexandre V...... 6 Fourie, Jan H...... 3 The Survival of a Kenschaft, Patricia O Bourbaki ...... 7 Clark ...... 7 Mathematician . . . 9 Freed, Daniel S. . . . 12 On Being a Braams, Johannes . . 10 Fundamentals of the Kharlamov, V. M. . . 12 Department Head, Swart, Johan ...... 3 Theory of Operator Kibble, T...... 12 a Personal View . . . 8 T C Algebras. Carlisle, David . . . . 10 Volume III ...... 3 The Knot Book . . . . .11 P Tao, Terence ...... 10 Peres, Yuval ...... 14 Carlson, James . . . . . 5 Fundamentals of the Kopka, Helmut . . . . .8 Techniques of Petersen, Carsten Problem Solving . . . 9 Change Is Possible . . . 7 Theory of Operator Krantz, Steven G. . 8, 9 Algebras. Lunde ...... 4 Those Fascinating Chaotic Elections! A Volume IV ...... 3 L Petkovic´, Miodrag S. . 7 Numbers ...... 13 Mathematician Looks Lafon, Jean-Pierre . . 13 at Voting ...... 7 G Poincaré’s Legacies, Tools of the Trade . . . . 4 Gillman, Rick ...... 4 Lapidus, Michel L. . 13 Part I ...... 10 Codebreakers ...... 5 Traub, Joseph F. . . . . 4 Gooransarab, Laptev, Ari ...... 10 Poincaré’s Legacies, Complex Function Triangle of Thoughts .7 Haedeh N...... 8 A Part II ...... 10 Theory ...... 4 The L TEX Companion, V Goossens, Michel . . 10 Second Edition . . . 10 Pollack, Paul ...... 13 Computational Varadarajan, V. S. . . 11 Topology ...... 11 Grätzer, George . . . . 8 Lax, P...... 5 Poncelet’s Theorem . . 11 Viro, O. Ya...... 12 Connes, Alain ...... 7 Griffiths, David F. . . . 8 Learning LaTeX . . . . 8 A Primer of Mathematical von Neumann, John . 4 Conway, John B. . . . 8 Grinstead, Lessons in Geometry .11 Writing ...... 9 Charles M...... 13 W The Coxeter Legacy . . 8 Levin, David A. . . . 14 Grothendieck-Serre Q The Wild World of Crannell, Annalisa . . .5 Correspondence . . . 5 Lichnerowicz, André .7 Quantum Fields and 4-Manifolds . . . . . 12 D A M Strings: A Course for Wiles, Andrew . . . . . 5 Guide to L TEX: Mathematicians . . 12 Daly, Patrick W. . . . . 8 Fourth Edition . . . . 8 Macrae, Norman. . . 10 Wilmer, Elizabeth L.14 R Davis, Chandler . . . . 8 H Making Mathematics Witten, Edward . . . 12 Come to Life . . . . . 8 Real Analysis and De Koninck, Jean- Hadamard’s Plane Applications ...... 3 Woz´ niakowski, Marie ...... 13 Geometry ...... 12 Markov Chains and Henryk ...... 4 Real Analysis ...... 3 Hadamard, Jacques .11 Mixing Times . . . . 14 Deligne, Pierre . . . . 12 Z Mashaal, Maurice . . . 7 Ringrose, John R. . . . 3 Diestel, Joe ...... 3 Halliwell, J...... 12 Zegarlinski, B. . . . . 12 Riot at the Calc Halmos, Paul R. 8, 10 Mathematical Dieudonné, J. A. . . 10 Impressions ...... 8 Exam and Other Discrete Mathematics .5 Harer, John L. . . . . 11 Mathematically Bent Mathematical Stories ...... 6 Dynamics on the Higham, Desmond J. 8 Publishing ...... 9 Roots to Research . . .11 Riemann Sphere . . .4 Highlights of A Mathematician’s E Mathematical Survival Guide . . . 9 Rowley, Chris . . . . . 10 Physics ...... 12 Edelsbrunner, Mathematics under the S Herbert ...... 11 Hjorth, Poul ...... 4 Microscope ...... 6 Saari, Donald G. . . . . 7

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