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The Reference section of the Notices Upcoming Deadlines more information, contact the USIA is intended to provide the reader with December 1, 1999: Deadline for ap- Fulbright Scholar Program, Council frequently sought information in an plications for American Mathematical for International Exchange of Scholars, easily accessible manner. New infor- Society Centennial Fellowships. For 3007 Tilden Street, NW, Suite 5L, Box mation is printed as it becomes avail- more information and application GNEWS, Washington, DC 20008-3009; able and is referenced after the first forms, write to the Executive Director, telephone 202-686-7877; World Wide Web http://www.cies.org/. printing. As soon as information is up- American Mathematical Society, P.O. January 7, 2000: Deadline for ap- dated or otherwise changed, it will be Box 6248, Providence, RI 02940-6248, plications for the NRC-Ford Founda- noted in this section. or send electronic mail to ams@ams. org, or call 401-455-4106. Applica- tion Postdoctoral Fellowships for Mi- Contacting the Notices tion forms are also available via the norities. For details, see “ Internet at http://www.ams.org/ Opportunities” in this issue. The preferred method for contacting employment/. January 14, 2000: Deadline for ap- the Notices is electronic mail. The ed- December 1, 1999: Deadline for plications for the 2000-01 “Mathe- itor is the person to whom to send ar- applications for the Summer 2000 Re- matics in Multimedia” program of the ticles and letters for consideration. search Program. For details, see “Math- IMA. For details, see the IMA’s Web site Articles include feature articles, ematics Opportunities” in this issue. at http://www.ima.umn.edu/ memorial articles, book reviews and January 1, 2000: Deadline for ap- programs.html, or contact the Insti- other communications, columns for plications for the Fulbright Scholar tute for Mathematics and its Applica- “Another Opinion”, and “Forum” Program NATO advanced research fel- tions, University of Minnesota, 400 pieces. The editor is also the person lowships and institutional grants. For Lind Hall, 207 Church Street, Min- to whom to send news of unusual in- terest about mathematics research. Where to Find It The managing editor is the person A brief index to information that ap- Mathematics Research Institutes to whom to send items for “Mathe- pears in this and previous issues of contact information matics People”, “Mathematics Oppor- the Notices. May 1999, p. 580; August 1999, p. tunities”, “For Your Information”, “Ref- AMS e-mail addresses 804 erence and Book List”, and November 1999, p. 1267 National Science Board “Mathematics Calendar”. Requests for AMS Ethical Guidelines March 1999, p. 361 permissions, as well as all other in- June 1995, p. 694 NSF Mathematical and Physical Sci- quiries, go to the managing editor. AMS officers and committee mem- ences Advisory Committee The electronic-mail addresses are bers March 1999, p. 362 [email protected] in the November 1999, p. 1269 Officers of the Society 1998 and case of the editor and notices@ Board on Mathematical Sciences and 1999 (Council, Executive Commit- ams.org in the case of the managing Staff tee, Publications Committees, Board of Trustees) editor. The fax numbers are 516-751- April 1999, p. 479; June/July 1999, May 1999, p. 583 5730 for the editor and 401-331-3842 p. 696 for the managing editor (please indi- Bylaws of the American Mathemat- Program officers for federal fund- ing agencies (DoD, DoE, NSF) cate “Notices managing editor” on the ical Society October 1999, p. 1075; November fax cover sheet). Postal addresses may November 1999, p. 1250 1999, p. 1247 be found in the masthead.

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neapolis, MN 55455; telephone 612- Book List Levy. Cambridge University Press, 624-6066; e-mail to Fred Dulles, As- The Book List highlights books that 1999. ISBN 0-521-66066-1. sociate Program Director, at dulles@ have mathematical themes and hold The Elegant Universe: Superstrings, ima.umn.edu. appeal for a wide audience, including Hidden Dimensions, and the Quest for January 15, 2000: Deadline for the mathematicians, students, and a sig- the Ultimate Theory, by Brian Greene. first competition for NRC Research nificant portion of the general public. W. W. Norton & Company, February Associateships. For details, see “Math- When a book has been reviewed in the 1999. ISBN 0-393-04688-5. ematics Opportunities” in this issue. Emergence: From Chaos to Order, Notices, a reference is given to the re- January 15, 2000: Deadline for ap- by John Holland. Perseus Press, 1998. view. Generally the list will contain plications for NIST/NRC Postdoctoral ISBN 0-201-14943-5. only books published within the last Research Associateships Program. Fur- Euclid: The Creation of Mathemat- two years, though exceptions may be ther information may be obtained ics, by Benno Artmann. Springer- made in cases where current events from the NIST Web site, http://www. Verlag, 1999. ISBN 0-387-98423-2. (e.g., the death of a prominent math- nist.gov/oiaa/postdoc.htm, or by Fermat’s Last Theorem for Ama- ematician, coverage of a certain piece contacting Joy Brooks, Information teurs, by Paulo Ribenboim. Springer- Specialist, NIST, telephone 301-975- of mathematics in the news) warrant Verlag, 1999. ISBN 0-387-98508-5. 3071; or Jack J. Hsia, Chief of Acade- drawing readers’ attention to older The Feynman Processor, by Gerard mic Affairs, NIST, telephone 301-975- books. Suggestions for books to include J. Milburn and Paul Davies. Helix 3067; or write to the National Research on the list may be sent to the manag- Books, Perseus, 1998. ISBN 0-738- Council, Associateship Programs- ing editor, e-mail [email protected]. 20016-6. TJ2114, 2101 Constitution Avenue, Abraham Robinson: The Creation of Fragile Dominion: Complexity and NW, Washington, DC 20418; telephone Nonstandard Analysis, a Personal and the Commons, by Simon Levin. Perseus 202-334-2760. Mathematical Odyssey, by Joseph War- Books, June 1999. ISBN 0-738-20111- February 1, 2000: Deadline for ap- ren Dauben. Princeton University 1. plications for NSF/AWM Mentoring Press, 1998. ISBN 0-691-05911-X. Geometry Civilized: History, Cul- Travel Grants for Women. Further in- The Algorithmic Beauty of Sea ture, and Technique, by J. L. Heilbron. formation may be obtained by tele- Shells (Virtual Laboratory), by Hans Oxford University Press, 1998. ISBN 0- phone at 301-405-7892; or by e-mail Meinhardt, Przemyslaw Prusinkiewicz, 198-50078-5. at [email protected]. and Deborah R. Fowler. Springer-Ver- Goodbye, Descartes: The End of February 1, 2000: Deadline for ap- lag, 1998. ISBN 3-540-63919-5. Logic and the Search for a New Cos- plications for NSF/AWM Travel Grants The Applicability of Mathematics mology of the Mind, by Keith Devlin. for Women. For further information as a Philosophical Problem, by Mark John Wiley & Sons, 1998. ISBN 0-471- and details on applying, see the AWM Steiner. Harvard University Press, 14216-6. Web site, http://www.awm-math. 1998. ISBN 0-674-04097-X. A History of the Circle: Mathemat- org/travelgrants.html; or tele- The of Life, by George ical Reasoning and the Physical Uni- phone 301-405-7892 or send e-mail to Shaffner. Ballantine Books, August verse, by Ernest Zebrowski Jr. Rutgers [email protected]. University Press, August 1999. ISBN 0- 1999. ISBN 0-345-42631-2. February 15, 2000: Deadline for 813-52677-9. Challenges, by Serge Lang. Springer- nominations for the Richard C. The Importance of Being Fuzzy and Verlag, 1998. ISBN 0-387-94861-9. DiPrima Prize. For details, contact Other Insights from the Border The Code Book: The Evolution of Se- Ronald A. DeVore, Chair, DiPrima Prize between Math and Computers, by crecy from Mary, Queen of Scots to Selection Committee, c/o A. G. Boga- Arturo Sangalli. Princeton University Quantum Cryptography, by Simon rdo, Society for Industrial and Applied Press, December 1998. ISBN 0-691- Singh. Doubleday, October 1999. ISBN Mathematics, 3600 University City Sci- 00144-8. 0-385-49531-5. ence Center, Philadelphia, PA 19104- √ An Imaginary Tale: The Story of 2688; telephone 215-382-9800; fax Cryptonomicon, by Neal Stephen- 1, by Paul J. Nahin. Princeton Uni- 215-386-7999, e-mail: bogardo@ son. Avon Books, May 1999. ISBN 0- versity Press, 1998. ISBN 0-691-02795- siam.org. 380-97346-4. (Reviewed in this issue.) 1. (Reviewed November 1999.) March 1, 2000: Deadline for appli- Drawbridge Up: Mathematics—A In the Light of Logic, by Solomon cations for the EDGE Summer Pro- Cultural Anathema (Zugbrücke ausser Feferman. Oxford University Press, gram. For details, see “Mathematics Betrieb: Die Mathematik im Jenseits 1998. ISBN 0-19-508030-0. Opportunities” in this issue. der Kultur), by Hans Magnus Enzens- The Invention of Infinity: Mathe- April 15, 2000: Deadline for the berger. A K Peters, 1999. ISBN 1- matics and Art in the Renaissance, by second competition for NRC Research 56881-099-7. J. V. Field. Oxford University Press, Associateships. For details, see “Math- e: The Story of a Number, by Eli 1997. ISBN 0-198-52394-7. ematics Opportunities” in this issue. Maor. Paperback edition, Princeton Jacques Hadamard, A Universal August 15, 2000: Deadline for the University Press, 1998. ISBN 0-691- Mathematician, by Vladimir Mazy´a third competition for NRC Research 05854-7. and Tatyana Shaposhnikova. AMS/ Associateships. For details, see “Math- The Eightfold Way: The Beauty of London Mathematical Society, 1998. ematics Opportunities” in this issue. Klein’s Quartic Curve, edited by Silvio ISBN 0-8218-0841-9.

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James Joseph Sylvester: Life and Modern Mathematics in the Light Randomness, Deborah Bennett. Har- Work in Letters, by Karen Hunger of the Fields Medals, by Michael vard University Press, 1998. ISBN 0- Parshall. Oxford University Press, Monastyrsky. A K Peters, 1997. ISBN 674-10745-4. 1998. ISBN 0-198-50391-1. 1-568-81065-2. Reasoning with the Infinite: From The Jungles of Randomness: A The Moment of Proof: Mathematical the Closed World to the Mathematical Mathematical Safari, by Ivars Peter- Epiphanies, by Donald C. Benson. Ox- Universe, by Michel Blay (translated son. Paperback edition, John Wiley & ford University Press, March 1999. by M. B. DeBevoise). University of Sons, 1998. ISBN 0-471-29587-6. (Re- ISBN 0-195-11721-2. Chicago Press, 1998. ISBN 0-226- viewed June/July 1999.) Moral Calculations: Game Theory, 05834-4. Knowing and Teaching Elementary Logic, and Human Frailty, by László Shadows of the Circle: Conic Sec- Mathematics: Teachers’ Understand- Méro˝. Copernicus-Springer Verlag, tions, Optimal Figures and Non- ing of Fundamental Mathematics in 1998. ISBN 0-387-98419-4. , by Vagn Lunds- China and the United States, by Liping My Brain Is Open: The Mathemati- gaard Hansen. World Scientific Pub- Ma. Lawrence Erlbaum Publishers, cal Journeys of Paul Erdo˝s, by Bruce lishing Company, November 1998. 1999. ISBN 0-8058-2908-3 (cloth), 0- Schecter. Simon & Schuster, 1998. ISBN ISBN 9-810-23418-X. 8058-2909-1 (paper). (Reviewed Sep- 0-684-84635-7. Slicing Pizzas, Racing Turtles, and tember 1999.) Mystic, Geometer, and Intuitionist: Further Adventures in Applied Math- The Language of Mathematics: Mak- The Life of L. E. J. Brouwer, by Dirk Van ematics, by Robert B. Banks. Princeton ing the Invisible Visible, by Keith Dalen. Oxford University Press, 1999. University Press, September 1999. Devlin. W. H. Freeman and Company, ISBN 0-198-50297-4. ISBN 0-691-05947-0. Small Worlds: The Dynamics of Net- 1998. ISBN 0-716-73379-X. New Directions in the Philosophy of works between Order and Random- Life by the Numbers, by Keith Mathematics: An Anthology, Thomas ness, by Duncan J. Watts. Princeton Devlin. John Wiley & Sons, 1998. ISBN Tymoczko, Editor. Princeton Univer- University Press, November 1999. ISBN 0-471-24044-3. sity Press, revised edition, 1998. ISBN 0-691-03498-2. 0-691-00541-9. The Magical Maze: Seeing the World Noeuds: Genèse d’une théorie math- Tracking the Automatic Ant, and through Mathematical Eyes, by Ian ématique (Knots: Genesis of a Mathe- Other Mathematical Explorations, by Stewart. John Wiley & Sons, 1998. ISBN matical Theory), by Alexsi Sossinsky David Gale. Springer-Verlag, 1998. 0-471-19297-X. (in French). Seuil, 1999. ISBN 2-02- ISBN 0-387-98272-8. The Mathemagician and the Pied 032089-4. Turing and the Computer (The Big Puzzler: A Collection in Tribute to The Number Devil, by Hans Magnus Idea), by Paul Strathern. Anchor Books, Martin Gardner, edited by Elwyn Enzensberger. Metropolitan Books, April 1999. ISBN 0-385-49243-X. Berlekamp and Tom Rodgers. A K 1998. ISBN 0-805-05770-6. What Counts: How Every Brain Is Peters, 1999. ISBN 1-568-81075-X. The Number Sense: How the Mind Hardwired for Math, by Brian Butter- A Mathematical Mystery Tour: Dis- Creates Mathematics, by Stanislas De- worth. Free Press, August 1999. ISBN covering the Truth and Beauty of the haene. Oxford University Press, 1997. 0-684-85417-1. Cosmos, by A. K. Dewdney. John Wiley ISBN 0-195-11004-8. What Is Mathematics, Really?, by & Sons, March 1999. ISBN 0-471- Once Upon a Number: The Hidden Reuben Hersh. Oxford University 23847-3. Mathematical Logic of Stories, by John Press, 1997. ISBN 0-19-511368-3. (Re- Mathematics and Mathematicians: Allen Paulos. Basic Books, 1998. ISBN viewed October 1999.) Mathematics in Sweden before 1950, 0-465-05158-8. (Reviewed September What Is Random?: Discovering by Lars Gårding. AMS/London Math- 1999.) Chance and Order in Mathematics and ematical Society, 1998. ISBN 0-8218- Philosophy of Mathematics: An In- the World by Edward J. Beltrami. 0612-2. troduction to a World of Proofs and Springer-Verlag, August 1999. ISBN 0- Mathematics for the Curious, by Pictures, by James Robert Brown. Rout- 387-98737-1. Peter M. Higgins. Oxford University ledge, August 1999. ISBN 0-415-12274- What’s Happening in the Mathe- Press, 1998. ISBN 0-192-88072-1. 0. matical Sciences, 1998–1999, by Barry Mathematics: From the Birth of Pioneers of Representation Theory: Cipra. AMS, 1999. ISBN 0-821-80766- Numbers, by Jan Gullberg. W. W. Nor- Frobenius, Burnside, Schur, and 8. ton and Company, 1997. ISBN 0-393- Brauer, by Charles W. Curtis. Why Do Buses Come in Threes?, by 04002-X. AMS/London Mathematical Society, Rob Eastaway and Jeremy Wyndham. The Mathematics of Ciphers; Num- 1999. ISBN 0-8218-9002-6. John Wiley & Sons, 1999. ISBN 0-471- ber Theory and RSA Cryptography, Proofs from THE BOOK, by Martin 34756-6. by S. C. Coutinho. A K Peters, 1998. Aigner and Günter Ziegler. Springer- The World According to Wavelets, by ISBN 1-568-81082-2. Verlag, 1998. ISBN 3-540-63698-6. (Re- Barbara Burke Hubbard. A K Peters, Mathematics Without Borders: A His- viewed August 1999.) second edition, 1999. ISBN 1-568- tory of the International Mathematical The Queen of Mathematics: A His- 81072-5. (Reviewed October 1999.) Union, by Olli Lehto. Springer-Verlag, torically Motivated Guide to Number February 1998. ISBN 0-387-98358-9. Theory, by Jay R. Goldman. A K Peters, (Reviewed November 1999.) 1998. ISBN 1-568-81006-7.

1422 NOTICES OF THE AMS VOLUME 46, NUMBER 11