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Notices Portrait of the American Mathematical Society National ISSN 0002-9920 of the American Mathematical Society August 2008 Volume 55, Number 7 A Centennial Celebration of Two Great Scholars page 776 Computable Fields and Galois Theory page 798 Vancouver Meeting page 887 Middletown Meeting page 890 Kalamazoo Meeting page 892 Huntsville Meeting page 895 Floating bodies (see page 813) ,!4%8 ,!4%8 ,!4%8 Pro Open Access Volume 2008 Advances in Abstract Difference Journals in Equations andApplied Analysis Mathematics Your research wants to be free! Hindawi Publishing Corporation Hindawi Publishing Corporation http://www.hindawi.com Volume 2008 http://www.hindawi.com Volume 2008 Boundary Value Problems Differential Equations and Nonlinear Mechanics Submit your manuscripts at Hindawi Publishing Corporation Hindawi Publishing Corporation http://www.hindawi.com Volume 2008 http://www.hindawi.com http://www.hindawi.com Discrete Dynamics in Fixed Point Theory International Journal of Nature and Society and Applications Journal of Applied Mathematics An International Multidisciplinary Research and Review Journal Mathematics and Mathematical Sciences Hindawi Publishing Corporation Hindawi Publishing Corporation Hindawi Publishing Corporation http://www.hindawi.com Volume 2008 Hindawi Publishing Corporation http://www.hindawi.com Volume 2008 http://www.hindawi.com Volume 2008 http://www.hindawi.com Volume 2008 Journal of Journal of Mathematical Applied JAMSA Inequalities Mathematics and Applications Problems in Journal of Applied Mathematics Engineering and Stochastic Analysis and Theory, Methods, and Applications Decision Sciences Hindawi Publishing Corporation Hindawi Publishing Corporation Hindawi Publishing Corporation Hindawi Publishing Corporation http://www.hindawi.com Volume 2008 http://www.hindawi.com Volume 2008 http://www.hindawi.com Volume 2008 http://www.hindawi.com Volume 2008 Birkhäuser For The Classroom Problem Solving Books CORNERSTONES Textbooks Additional Textbooks Mathematical Olympiad Basic and A Geometric Approach to Treasures Advanced Algebra Diff erential Forms TITU ANDREESCU, The University of Texas at Dallas, ANTHONY W. KNAPP, State DAVID BACHMAN, Pitzer College, Claremont, CA, USA Richardson, TX, USA; BOGDAN ENESCU, B.P. Hasdeu University of New York, Stony Brook, National College, Buzau, Romania NY, USA “[The author’s] idea is to use geometric intuition to alleviate some of the algebraic diffi culties...The “I took great pleasure in reading Mathematical “Finally, the author’s notorious emphasis is on understanding rather than on detailed Olympiad Treasures, by Titu Andreescu and Bogdan masterly style of writing, which derivations and proofs. This is defi nitely the right Enescu. This book is the fruit of the prodigious activity stands out by its high degree of approach in a course at this level.” —MAA REVIEWS of two well-known creators of mathematics problems clarity, elegance, refi nement, and accuracy, also rules in various mathematical journals.” —MAA ONLINE over this newest textbook of his, which is very likely to 2006/XVI, 133 PP., 39 ILLUS./SOFTCOVER become one of the great standard texts in algebra for ISBN 9780817644994/$49.95 2004/VI, 234 PP., 99 ILLUS./SOFTCOVER generations.” —ZENTRALBLATT MATH ISBN 9780817643058/$39.95 Classical Geometries in 104 Number Theory Problems Basic Algebra Modern Contexts From the Training of the USA IMO Team 2006/XXII, 717 PP., 42 ILLUS./HARDCOVER Geometry of Real Inner Product Spaces TITU ANDREESCU; DORIN ANDRICA, ‘Babes-Bolyai’ ISBN 9780817632489/$69.95 Second Edition University, Cluj-Napoca, Romania; ZUMING FENG, Phillips WALTER BENZ, University of Hamburg, Germany Exeter Academy, Exeter, NH, USA Advanced Algebra 2007, 2ND ED./XII, 277 PP./HARDCOVER “…any course in number theory could be 2008/XXIV, 730 PP., 10 ILLUS./HARDCOVER ISBN 9783764385408/$109.00 supplemented with this book and could use some of ISBN 9780817645229/$69.95 the references included.” —MAA ONLINE 2VOLUMES SET: ISBN 9780817645335/$89.95 2007/XII, 204 PP./SOFTCOVER Gradient Flows ISBN 9780817645274/$39.95 Geometric Function Theory In Metric Spaces and in the Space of Probability Measures Explorations in Complex Analysis Second Edition Complex Numbers STEVEN G. KRANTZ, Washington University, St. Louis, MO, USA LUIGI AMBROSIO; NICOLA GIGLI, both Scuola Normale from A to ... Z Superiore, Pisa, Italy; GIUSEPPE SAVARÉ, University of TITU ANDREESCU; DORIN ANDRICA “The presentations of the topics are clear and the text Pavia, Italy makes [for] very good reading; basic ideas of many 2005/XI, 321 PP./SOFTCOVER concepts and proofs are carefully described, 2008, 2ND ED./VII, 334 PP./SOFTCOVER ISBN 9780817643263/$49.95 non-formal introductions to each chapter are very ISBN 9783764387211/$59.95 helpful, a rich collection of exercises is well composed LECTURES IN MATHEMATICSETH ZÜRICH Coming soon: and helps the student to understand the subject.” New: Mathematical Olympiad —ZENTRALBLATT MATH Approximation of Additive Challenges 2006/XIV, 314 PP., 41 ILLUS./HARDCOVER Second Edition ISBN 9780817643393/$69.95 Convolution-Like Operators TITU ANDREESCU; RAZVAN GELCA, Texas Tech Real C*-Algebra Approach University, Lubbock, TX, USA Coming soon: VICTOR D. DIDENKO, University Brunei Darussalam, Brunei; BERND SILBERMANN, TU Chemnitz, Germany “I strongly recommend this book for anyone interested Geometric Integration Theory in creative problem-solving in mathematics…. It has STEVEN G. KRANTZ, Washington University, St. Louis, MO, This book deals with numerical analysis for certain already taken up a prized position in my personal USA; HAROLD PARKS, Oregon State University, Corvallis, classes of additive operators and related equations, library, and is bound to provide me with many hours of OR, USA including singular integral operators with conjugation, intellectual pleasure.“ the Riemann-Hilbert problem, Mellin operators with 2008/APPROX. 380 PP., 10 ILLUS./HARDCOVER —THE MATHEMATICAL GAZETTE conjugation, double layer potential equation, and ISBN 9780817646769/$69.95 the Muskhelishvili equation. The authors propose a 2009, 2ND ED./APPROX. 320 PP./SOFTCOVER unifi ed approach to the analysis of the approximation ISBN 9780817645281/$39.95 TENT. Distributions methods under consideration based on special real Theory and Applications extensions of complex C*-algebras. The list of the methods considered includes spline Galerkin, spline Number Theory JOHANNES J. DUISTERMAAT; JOHAN A.C. KOLK, collocation, qualocation, and quadrature methods. Structures, Examples, and Problems both Universiteit Utrecht, The Netherlands TITU ANDREESCU; DORIN ANDRICA 2008/XII, 306 PP./SOFTCOVER 2008/APPROX. 350 PP., 25 ILLUS./HARDCOVER ISBN 9783764387501/$74.95 ISBN 9780817646721/$59.95 TENT. 2009/APPROX. 370 PP., 150 ILLUS./HARDCOVER FRONTIERS IN MATHEMATICS ISBN 9780817632458/$59.95 CALL: 1-800-777-4643 • FAX: (201) 348-4505 • E-MAIL: [email protected] • www.birkhauser.com Please mention promotion #013826 when ordering. Prices are valid in the Americas only and are subject to change without notice. For price and ordering information outside the Americas, please contact Birkhäuser Verlag AG by E-mail: [email protected] 013826x Portrait Notices of the American Mathematical Society National the August 2008 of Communications courtesy 776 784 WHAT IS...Outer Space? Photo Karen Vogtmann Heath. 808 Donaldson Receives Nemmers Prize Ada Lady 809 Mathematical Sciences in the FY 2009 Budget and Samuel M. Rankin III London. 814 2007 Annual Survey of the Thomas 789 776 Mathematical Sciences in Sir Gallery, the United States (Second Report) (and Doctoral Degrees Conferred 2006–2007, Features Supplementary List) Polly Phipps, James W. 776 A Centennial Celebration of Two Great Maxwell, Colleen A. Rose Scholars Commentary Shirley B. Gray 773 Opinion: Desperately Important mathematical works of antiquity by Seeking Mathematical Truth Archimedes and Euclid became definitively available Melvyn B. Nathanson to the modern world through the labor of scholars a 774 Letters to the Editor century ago. The author tells the story of these scholars and their work. 789 Irreligion—A Book Review Reviewed by Olle Häggström 798 Computable Fields and Galois Theory 793 In Puris Naturalibus— A Book Review Russell Miller Reviewed by Lewis Pyenson Galois theory, in part, is about finding roots of poly- nomials, and in part about the impossibility of finding roots. Most mathematicians are familiar with the latter, at least for certain rational equations of the fifth degree. The author applies modern computability theory to a discussion of algorithms for finding roots, or for determining that they cannot be found. Notices Departments of the American Mathematical Society About the Cover. 813 Call for Applications and Nominations for Editor EDITOR: Andy Magid of the Notices. 797 ASSOCIATE EDITORS: Mathematics People . 832 Daniel Biss, Susanne C. Brenner, Bill Casselman (Graphics Editor), Robert J. Daverman, Susan Tao Receives 2008 Waterman Award, Mitrea Awarded Michler Prize, Friedlander, Robion Kirby, Steven G. Krantz, Lisette de Pillis, Peter Sarnak, Mark Saul, John Papageorgiou Awarded 2008 Information-Based Complexity Prize, Swallow, Lisa Traynor Goldwasser Receives Athena Award, Bridgeland and Tong Receive SENIOR WRITER and DEPUTY EDITOR: Adams Prize, Griffiths Awarded Brouwer Prize, Heller Awarded Allyn Jackson Templeton Prize, Ziegler Wins Communicator Award, Buchberger MANAGING EDITOR: Sandra Frost Receives ACM Award, Lester and Reys Recognized for Lifetime CONTRIBUTING WRITER: Elaine Kehoe Achievement in Mathematics Education, USA Mathematical
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