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AMERICAN MATHEMATICAL SOCIETY PUBLICATIONS of CONTINUING INTEREST

ONAL INTERNATI CAL MATHEMATI IMU UNION MATHEMATICS: In Praise of AMS Publications FRONTIERS AMS publications continue to receive high praise from peer review journals in the mathematical community. These reviews AND PERSPECTIVES attest to the significance of our scholarly works. For more AMS titles, visit the AMS Bookstore at www.ams.org/bookstore. tiyah, P. Lax, V. Arnold, M. A Editors and B. Mazur, Mathematics: Frontiers Supplementary Reading and Perspectives Quantum Fields and Strings: V. Arnold, University of Paris IX, France, and Steklov Mathematical A Course for Mathematicians EMA TH TIC A A M L ΟΣ ΜΜΗΗ ΤΡΗΗΤΤ ΕΕΙΣΙΤΩ N S

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8 AMS 8 FO 18 UNDED ETY ICAL SOCI Institute, Moscow, Russia, M. Atiyah, University of Edinburgh, T MATHEMA AMERICAN Pierre Deligne, Institute for Advanced Study, Princeton, NJ, Scotland, P. Lax, New York University-Courant Institute of Pavel Etingof, Massachusetts Institute of Technology, Cambridge, Mathematical Sciences, NY, and B. Mazur, Harvard University, Daniel S. Freed, University of Texas, Austin, Lisa C. Jeffrey, Cambridge, MA, Editors University of Toronto, ON, Canada, David Kazhdan, Harvard This collection of essays will reward and stimulate anyone who University, Cambridge, MA, John W. Morgan, Columbia University, The Mathem atician Who Broke dips into it. It belongs on every mathematician’s bookshelf and in New York, NY, David R. Morrison, Duke University, Durham, NC, and the Dimension Barrier Edward Witten, Institute for Advanced Study, Princeton, NJ, Editors the mathematics collection of every library. —MAA Monthly STEVE BATTERSON An immense amount of valuable material on recent develop- 2000; ISBN 0-8218-2070-2; 459 pages; Hardcover; Order Code MFPCT110 ments. The development of classical supersymmetry by Deligne and collaborators is careful and systematic … masterful treat- Biography ment …the book is a magnificent achievement. Stephen Smale: —SIAM Review The mathematician who A concise introduction to the quantum field theory and perturba- broke the dimension barrier tive string theory, with as much emphasis on a mathematically satisfying exposition and clarity as possible … will be helpful to Steve Batterson, Emory University, Atlanta, GA all mathematicians and mathematical physicists who wish to Quantum Fields Steve Batterson’s book lays many legends to rest and verifies learn about the beautiful subject of quantum field theory. and Strings: A Course for Mathematicians much chronology and many details … This fascinating life story —European Mathematical Society Newsletter makes for compelling reading … [Batterson] gets not just mathe- Volume 1: 1999; ISBN 0-8218-1987-9; 723 pages; Hardcover; All AMS matical details but their relative importance right … Waiting for members $32, List $40, Order Code QFT/1CT110; Volume 2: 1999; ISBN 0- history’s verdict on Smale’s numerical analysis, we might just as 8218-1988-7; 778 pages; Hardcover; All AMS members $32, List $40, Order well curl up with Batterson’s book … this is a fascinating biog- Code QFT/2CT110; Set: 1999; ISBN 0-8218-1198-3; 1501 pages; Hardcover; All AMS members $60, List $75, Order Code QFT/1/2CT110 raphy of a fascinating mathematician. —SIAM Review azhdan eligne David K Pierre D John W. Morgan Pavel Etingof David R. Morrison aniel S. Freed Recommended Text D Edward Witten Lisa C. Jeffrey 2000; ISBN 0-8218-2045-1; 306 pages; Hardcover; All AMS members $28, Editors

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F 8 O 88 UNDED 1 Gerd Fischer, Heinrich-Heine-Universität, Düsseldorf, Germany Recommended Text From a review for the German Edition: STUDENT MATHEMATICAL LIBRARY VOLUME 15 Foliations I Compared to the many other textbooks on (plane) algebraic Alberto Candel, California Institute of Technology, Pasadena, CA, Plane curves, the present new one comes closest in spirit and content, to and Lawrence Conlon, Washington University, St. Louis, MO Algebraic the work of E. Brieskorn and H. Knoerrer … One could say that the Curves Overall presentation is first-rate … diagrams … are well-crafted book under review is a beautiful, creative and justifiable abridged Gerd Fischer and reflect the strongly ‘graphical’ nature of the subject … A version of this work, which also stresses the analytic-topological prospective reader who cares to invest the time needed to point of view … the present book is a beautiful invitation to alge- plough seriously through the book ought to be rewarded with a braic geometry… —Zentralblatt für Mathematik gratifying mathematical experience … can also be recom- mended to more advanced researchers, who would enjoy seeing Student Mathematical Library, Volume 15; 2001; ISBN 0-8218-2122-9; 231 a compendium of major results. pages; Softcover; All AMS members $28, List $35, Order Code STML/15CT110 —Bulletin of the London Mathematical Society Recommended Text The authors pay great attention to examples, and you can find a Number Theory large number of them in the book … They are well-chosen and Algebraic Numbers and Functions Number Theory will keep the interest of the reader on a high level … [The book Algebraic Numbers Helmut Koch, Humboldt-University, Berlin, Germany and Functions is] a fundamental source for everybody with a serious interest in foliations. A significant amount of the material goes beyond what one would Helmut Koch —European Mathematical Society Newsletter expect from an introductory text … this book can be recommended Graduate Studies in Mathematics, Volume 23; 2000; ISBN 0-8218-0809-5; to students of number theory for its rigour and emphasis on theory. 402 pages; Hardcover; All AMS members $43, List $54, Order Code —European Mathematical Society Newsletter

Graduate Studies GSM/23CT110 in Mathematics Graduate Studies in Mathematics, Volume 24; 2000; ISBN 0-8218-2054-0; 368 Volume 24 pages; Hardcover; All AMS members $47, List $59, Order Code GSM/24CT110

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88 FO 18 UNDED To order, call: 1-800-321-4AMS (4267), in the U.S. and Canada, or 1-401-455-4000; fax: 1-401-455-4046; email: [email protected]. Visit the AMS Bookstore and order online at www.ams.org/bookstore. Or write to: American Mathematical Society, P. O. Box 6248, Providence, RI 02940-6248. Prices subject to change without notice.

For more publications in your subject area visit the AMS Bookstore: www.ams.org/bookstore.

1060 NOTICES OF THE AMS VOLUME 48, NUMBER 9