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Notices of the American Mathematical Society Departments ISSN 0002-9920 of the American Mathematical Society November 2002 Volume 49, Number 10 It's As Easy As abc page 1224 Leopold Vietoris (1891-2002) page 1232 An Exotic Coxeter Compl ex (see page 1274) Distance Asynchror1ous Online Or1 Ct11"11f )lJ~~ Education is no longer just about classrooms and labs. With the growing diversity and complexity of educational programs, you need a software system that lets you efficiently deliver effective learning tools to literally, the world. Maple® now offers you a choice to address the reality of today's mathematics education. Maple® 8 - the standard Perfect for students in mathematics, sciences, and engineering. Maple"' 8 offers all the power, flexibility, and resources your technical students need to manage even the most complex mathematical concepts. MapleNET'M- online education A complete standards-based solution for authoring, delivering, and managing interactive learning modules • ~!!!Z!::-... _ through browsers. Derived from the legendary Maple'" engine, MapleNet'" is the only comprehensive solution for distance education in mathematics. Give your institution ~nd your students the cornP.etitive eage. For a FREE 30-day Maple~ 8 Trial CD for Windows~ . or to register for a FREE MapleNet'" Online Seminar call 11800 267.6583 or e-mail [email protected]. Waterloo Ma le ADVANCING MATHEMATICS \\\\\\ . \1\l'l l :'-!ll l lll)\\ I I~J(l(d \J\I' I I .... lllll0\1 I \\\\\\ . \1\Pii\I'I'S.lO\I I \:llH.lll \\I I HH\, .... \ll ... l / XtHl2(,~6).S-; '. ' '. \ .. ~ ' International Mathematics Research Notices Editors Web Site: http://imrn.hindawi.com Morris Weisfeld AIMS AND SCOPE Managing Editor IMRN provides very fast publication of research articles of high current interest in all Dan Abramovich areas of mathematics. All articles are fully refereed and are judged by their contribution Enrico Arbarello to advancing the state of the science of mathematics. Issues are published as frequently Joseph Bernstein as necessary. IMRN will publish 52± issues in 2003. The articles of the IMRN are re­ Enrico Bombieri viewed/indexed in COMPUMATH Citation Index, Current Contents, lSI Alerting Services, Richard E. Borcherds Mathematical Reviews, PubSCIENCE, Science Citation Index, SciSearch, and Zentralblatt fiir Mathematik. Alexei Borodin Jean Bourgain Marc Burger INSTRUCTIONS FOR AUTHORS Tobias Colding IMRN is devoted to advancing the state of the science of mathematics by publishing Corrado DeConcini research articles of high current interest in all fields of mathematics. Articles of any length Percy Deift are welcome and all articles are refereed and judged for correctness, interest, originality, Robbert Dijkgraaf depth, and applicability. There are no page charges. Submissions are made by email to S. K. 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Lapid Shigefumi Mori • Regularity of Solutions of the Heat Equation on a Cone, T. D. Jeffres and P. Loya Stefan Muller • Zeros of Polynomials Orthogonal on Several Intervals, F. Peherstorfer R. V. Pandharipande Michael Rapoport SUBSCRIPTION INFORMATION N. Yu. Reshetikhin Peter Sarnak Institutional subscription rates for year 2003 (52± issues) are $1295 for print and online Freydoon Shahidi editions or $1036 for online edition only. Please contact [email protected] for personal Stanislav Smirnov subscription rates, multiple year subscriptions, or purchase of back volumes. Back vol­ Michael Struwe umes are available starting from the volume of 1991. IMRN is also available as part of G. Tian "Hindawi Mathematics Bundle" and "Hindawi Journals Bundle." Subscription informa­ Takeshi Tsuji tion for these bundles is available at http://www.hindawi.com/subs.html. David Vogan Dan Voiculescu l--lj N 07\WI Hindawi Publishing Corporation, P.O. Box 3079, Cuyahoga Falls, OH 44223, USA Andrei Zelevinsky II F\ Fax 1-866-446-3294 (USA, toll-free), 31-20-5248282 (Amsterdam, Netherlands) Maciej Zworski Log on to www.birkhauser.com and save! November's Series of the Month! Birkhiiuser's This month's featured series is Applied and Numerical Harmonic Analysis (ANHA). Included in ANHA are works GREEN SALE in harmonic analysis as well as in engineering and scientific subjects having a significant harmonic analysis component. 2002 Visit www.birkhauser.com/greensale and find big savings Save 20% on all titles in ANHA. Visit on essential books from all areas of mathematics. Sale prices www.birkhauser.com/monthseries for more details. valid only in the Americas. Log on to www.birkhauser.com for such new and noteworthy titles as: WAVELETS THROUGH A LOOKING GLASS Coming Soon ... The World of the Spectrum NUMERICAL METHODS IN SENSITIVITY 0. BRATI'ELI, University of Oslo, Norway; and P. JORGENSEN, University of Iowa, Iowa City, /A ANALYSIS AND SHAPE OPTIMIZATION "This book does a superlative job of demonstrating the richness of the theory of E. LAPORTE, Delegation Generate pour l'Armement DSA/SPM, Paris, France; and P. LE TALLEC, wavelets ... it is difficult to recall any other book that is so well documented both with Universite de Paris Dauphine/Ecole Polytechnique, Palaiseau, France graphical and numerical details as well as mathematical proof. This volume will remain a This book/interactive CD-ROM presents basic optimization techniques that can be used to central reference work for many years to come. " compute the sensitivity of a given design to local change, or to improve its performance by -M. Pinsky, Northwestern University local optimization of these data. The relevance and scope of these techniques have 2002/424 PP., 1221LLUS./HARDCOVER/S59.95/ISBN 0-8176-4280·3 improved dramatically in recent years due to progress in discretization strategies, APPLIED AND NUMERICAL HARMONIC ANALYSIS optimization algorithms, automatic differentiation, software availability, and the power of personal computers. The accompanying CD-ROM contains source files and data; readers can test different solution strategies to determine their relevance and efficiency. It also DERIVATIVES AND INTEGULS offers software building, updating computational grids, performing automatic code OF MULTIVARIABLE FUNCTIONS differentiation, and computing basic aeroelastic solutions. WINTER 2002/APPROX. 216 PP., 551LLUS./HARDCOVER WITH CD-ROM/$59.95 (TENT.) A. GUZMAN, The City College of New York, CUNY, New York, NY ISBN O-B176-4322-2 This textbook examines derivatives and integrals of functions of several real variables. MODELING AND SIMULATION IN SCIENCE, ENGINEERING AND TECHNOLOGY Topics from advanced calculus are covered, including: differentiability and its relation to partial derivatives, directional derivatives and the gradient, surfaces, inverse and implicit functions, integrability and properties of integrals, and the theorems of Fubini, Stokes, Coming Soon. .. and Gauss. GIAN·CARLO ROTA ON The exposition has a definition-theorem-proof format, together with a conversational ANALYSIS AND PROBABILITY style, including historical comments, an abundance of questions, and discussions about strategy, difficulties, and alternative paths. It is aimed at advanced undergraduate pure Selected Papers and Commentaries mathematics majors whose next course will be real analysis with measure theory. J. DHOMBRES, EHESS, Paris, France; J. KUNG, University of North Texas, Denton, 7'X; and N. STARR, Amherst College, Amhers~ MA {Eds.) JANUARY 2003/APPROX. 336 PP., 30 ILLUS./SOFTCOVER/$44.95 (TENT.l/ISBN 0-8176-4274-9 Gian-Carlo Rota was one of those rare mathematicians who made major contributions to several areas of mathematics. The first part of this book presents reprints of his papers Also by A. Guzman ... in analysis, which were written at the beginning of his career. These papers on differential equations,
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