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Scientific Workplace· • Mathematical Word Processing • LATEX Typesetting Scientific Word· • Computer Algebra Scientific WorkPlace· • Mathematical Word Processing • LATEX Typesetting Scientific Word· • Computer Algebra (-l +lr,:znt:,-1 + 2r) ,..,_' '"""""Ke~r~UrN- r o~ r PooiliorK 1.931'J1 Po6'lf ·1.:1l26!.1 Pod:iDnZ 3.881()2 UfW'IICI(JI)( -2.801~ ""'"""U!NecteoZ l!l!iS'11 v~ 0.7815399 Animated plots ln spherical coordln1tes > To make an anlm.ted plot In spherical coordinates 1. Type an expression In thr.. variables . 2 WMh the Insertion poilt In the expression, choose Plot 3D The next exampfe shows a sphere that grows ftom radius 1 to .. Plot 3D Animated + Spherical The Gold Standard for Mathematical Publishing Scientific WorkPlace and Scientific Word Version 5.5 make writing, sharing, and doing mathematics easier. You compose and edit your documents directly on the screen, without having to think in a programming language. A click of a button allows you to typeset your documents in LAT£X. You choose to print with or without LATEX typesetting, or publish on the web. Scientific WorkPlace and Scientific Word enable both professionals and support staff to produce stunning books and articles. Also, the integrated computer algebra system in Scientific WorkPlace enables you to solve and plot equations, animate 20 and 30 plots, rotate, move, and fly through 3D plots, create 3D implicit plots, and more. MuPAD' Pro MuPAD Pro is an integrated and open mathematical problem­ solving environment for symbolic and numeric computing. Visit our website for details. cK.ichan SOFTWARE , I NC. Visit our website for free trial versions of all our products. www.mackichan.com/notices • Email: info@mac kichan.com • Toll free: 877-724-9673 It@\ A I M S \W ELEGRONIC EDITORIAL BOARD http://www.math.psu.edu/era/ Managing Editors: This electronic-only journal publishes research announcements (up to about 10 Keith Burns journal pages) of significant advances in all branches of mathematics. A research Svetlana Katok announcement should be designed to communicate its contents to a broad mathematical audience and should meet high standards for clarity as well as Editors: mathematical content. Stuart S. Antman Dmitri Burago All papers are reviewed, and the entire Editorial Board must approve the accep­ Krzysztof Bu rdzy tance of any paper. Since an electronic journal does not have to fill a certain Tobias H. Colding number of pages, absolute rather than relative standards for quality will be Brian Conrey applied. Walter Craig Marc Culler NOW WITH A NEW PUBLISHER Timothy Gowers Robert L. Griess Volumes 1 - 13 of Electronic Research Announcements were published by the Boris Hasselblatt American Mathematical Society from 1995 to mid-2007. Beginning with Volume Carlos E. Kenig 14, 2007, this journal is published by the American Institute of Mathematical Janos Kollar Sciences as Electronic Research Announcements in Mathematical Sciences. It is Alex Lubotzky available free of charge as a service to the mathematical community. Barry.Mazur Walter Neumann The American Institute of Mathematical Sciences (AIMS) is an organization promot­ Alexander Ol'shanskii ing research in mathematical sciences via its journals and conferences. AIMS Leonid Polterovich journals are internationally recognized as being among top academic publica­ Klaus Schmidt tions. Further information about AIMS can be found at www. a imSci ences. org. Alejandro Uribe Guido L. Weiss ADVANTAGES OF ELECTRONIC RESEARCH ANNOUNCEMENTS Sylvia M. Wiegand W. Hugh Woodin • Quick and convenient submission of a PDF file via the web submission form http://www.math.psu.edu/era/submission-form.php. ; • All papers are reviewed, and recommendations by the editor are put before ~he ADVISORY BOARD . I editorial board for final approval. Usually a decision will be communicated to ~ he Ronald L. Graham author within 2 months of submision, and the editorial board is committed to David Kazhdan rendering a decision within 5 months in all cases. Anatole Katok • Articles are posted on ERA website as soon as they are accepted and processed. Don B. Zagier • It is expected that papers with full proofs will be later published elsewhere. Efim Zelmanov • ERA features "Comments" that may be attached to the articles at any time; they may contain errata, future references, computer programs, etc. NEW f6 FORTHCOMING from Birkhiiuser A History of Abstract Algebra Mathematical Olympiad Selecta Mathematica, ISRAEL KLEINER, York University, Toronto, ON, Canada Challenges New Series (SM) This presentation provides an account of the Second Edition Selecta Mathematica, New Series (SM) is a peer intellectual lineage behind many of the basic concepts, TITU ANDREESCU, University of Texas at Dallas, Richardson, reviewed journal addressed to a general audience results, and theories of abstract algebra. A major TX; RAZVAN GELCA, Texas Tech University, lubbock, TX of research mathematicians and graduate theme in this book is the rise of abstract algebra in Review of the First Edition: students. Topics in pure and applied mathematics will attempts to solve classical problems, and a context "This f book j is ... much more than just another be considered. Selecta is global in philosophy and from which the reader may gain a deeper appreciation collection of interesting, challenging problems, but is flexible in its acceptance of individual styles. The of the mathematics involved. Mathematics instructors, instead organized specifically for learning ... I strongly diversity of the editorial board guarantees the algebraists, and historians of science will find the work recommend this book for anyone interested in creative coexistence in the journal of a wide variety of pure and a valuable reference. problem-solving in mathematics .... It has already applied topics in the mathematical language in which the subjects are conveyed. 2007/APPROX. 200 PP., 10 ILLUS./SOFTCOVER taken up a prized position in my persona/library, and ISBN 978-0-8176-4684-4/$49.95 (TENT.) is bound to provide me with many hours of intellectual New Editors-in-Chid PAVEL ETINGOF (MIT, Cambridge, pleasure." -THE MATHEMATICAL GAZETTE USA) DAVID KAZHDAN (Hebrew Univ., Jeruselum, Israel) PAUL SEIDEL (Univ. Chicago, USA) The Legacy of Mario Pieri in Hundreds of beautiful, challenging, and instructive Founding Editor.· ISRAEL M. GELFAND (Rutgers, USA) Geometry and Arithmetic problems from algebra, geometry, trigonometry, combinatorics, and number theory from numerous Editorial Board Members: ELENA A. MARCHJSOTTO, California State University, mathematical competitions and journals have been Vladimir I. Arnol'd (Steklov Mathematical Institute) Northridge, CA; JAMES T. SMITH, San Francisco State selected and updated for this second edition. University. San Francisco, CA Roman Bezrukavnikov (MIT) Historical insights and asides are presented to Haim Brezis (Rutgers University) The Italian mathematician Mario Pieri (1860-1913) had stimulate further inquiry. Featuring enhanced Felix Browder (Rutgers University) a significant, yet somewhat underappreciated impact motivation for advanced high school and beginning Alain Connes (lnstitut des Hautes Etudes Scientifiques) on several branches of mathematics, particularly on the college students, as well as instructors and Olympiad Pierre Deligne (lAS, Princeton) development of algebraic geometry and the foundations coaches, this text can be used for creative problem­ Matthew Emerton (Northwestern University), Athanassios S. Fokas (Imperial College of Science) of mathematics in the years around the turn of the 20th solving courses, for professional teacher development Phillip A. Griffiths (lAS, Princeton) century. This book comprehensively examines Pieri's seminars and workshops, for self-study, or as a resource for training for mathematical competitions. Mikhael Gromov (lnstitut des Hautes Etudes Scientifiques) life, mathematical work and influence in such diverse Lars Hesselholt (MIT) fields as mathematical logic, algebraic geometry, Henryk lwaniec (Rutgers University) 2007/APPROX. 320 PP./SOFTCOVER number theory, inversive geometry, intersection theory, Anton Kapustin (Caltech) ISBN 978-0-8176-4528-1/$29.95 (TENT.) mathematical analysis, vector analysis, and differential Maxim Kontsevich (lnstitut des Hautes Etudes geometry. The work is a combination of engaging Scientifiques) exposition, little-known historical notes, exhaustive Bertram Kostant (MIT) ABeginner's Guide to Angus Macintyre (Queen Mary University of London) references and an excellent index. Graph Theory Ciprian Manolescu (Columbia University) Dusa McDuff, (SUNY at Stony Brook) 2007 /XVIII, 502 PP., 67 ILLUS./HARDCOVER Second Edition ISBN 978-0-8176-3210-6/$129.00 Maryam Mirzakhani (Princeton) W.O. WALLIS, Southern Illinois University, Carbondale, IL Tetsuji Miwa (University of Kyoto) Review of the First Edition: Alexander Postnikov (MIT) Fuchsian Reduction ''Altogether the book gives a comprehensive introduction Vladimir Retakh, (Rutgers University) Applications to Geometry, Cosmology Igor Rodnianski (Princeton University) to graphs, their theory and their application ... The use of Peter Sarnak (Princeton University) and Mathematical Physics the text is optimized when the exercises are solved. The Stanislav Smirnov (Royal Institute of Technology, Stockholm) SATYANAD KICHENASSAMY, Universite de Reims obtained skills improve understanding of graph theory Gigliola Staffilani (MIT) Champagne-Ardenne, Reims, France as well ... It is very useful that the solutions of these Richard Thomas (Imperial College, London) exercises are collected in an appendix." Viktor Vassiliev (Steklov Mathematical Institute)
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