Algebraic Topology, JAMES P
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OTICES OF THE AMERICAN MATHEMATICAL SOCIETY Newton's Principia Read 300 Years Later page 1148 V. /. Arno/'d and V. A. Vasi/'ev 1989 Annual AMS-MAA Survey page 1155 Los Angeles Meeting (November 18-19) page 1225 NOVEMBER 1989, VOLUME 36, NUMBER 9 Providence, Rhode Island, USA ISSN 0002-9920 Calendar of AMS Meetings and Conferences This calendar lists all meetings which have been approved prior to Mathematical Society in the issue corresponding to that of the Notices the date this issue of Notices was sent to the press. The summer which contains the program of the meeting. Abstracts should be sub and annual meetings are joint meetings of the Mathematical Associ mitted on special forms which are available in many departments of ation of America and the American Mathematical Society. The meet mathematics and from the headquarters office of the Society. Ab ing dates which fall rather far in the future are subject to change; this stracts of papers to be presented at the meeting must be received is particularly true of meetings to which no numbers have been as at the headquarters of the Society in Providence, Rhode Island, on signed. Programs of the meetings will appear in the issues indicated or before the deadline given below for the meeting. Note that the below. First and supplementary announcements of the meetings will deadline for abstracts for consideration for presentation at special have appeared in earlier issues. sessions is usually three weeks earlier than that specified below. For Abstracts of papers presented at a meeting of the Society are pub additional information, consult the meeting announcements and the lished in the journal Abstracts of papers presented to the American list of organizers of special sessions. Meetings Abstract Program Meeting# Date Place Deadline Issue 853 * November 18-19, 1989 Los Angeles, California Expired November 854 * January 17-20, 1990 Louisville, Kentucky October 11 December t (96th Annual Meeting) 855 * March 16-17, 1990 Manhattan, Kansas December 12 February 856 * March 23-24, 1990 Fayetteville, Arkansas December 12 February 857 * April 7-8, 1990 University Park, Pennsylvania January 25 March 858 * April 19-22, 1990 Albuquerque, New Mexico January 25 March 859 * August 8-11, 1990 Columbus, Ohio May 18 July I August (93rd Summer Meeting) November 2-3, 1990 Denton, Texas January 16-19, 1991 San Francisco, California (97th Annual Meeting) August 8-11, 1991 Orono, Maine (94th Summer Meeting) January 8-11 , 1992 Baltimore, Maryland (98th Annual Meeting) June 29-July 1, 1992 Cambridge, England (Joint Meeting with the London Mathematical Society) January 13-16, 1993 San Antonio, Texas (99th Annual Meeting) January 5-8, 1994 Cincinnati, Ohio (100th Annual Meeting) *Please refer to page 1238 for listing of special sessions. t Housing deadline is November 17 Conferences January 16-17, 1990: AMS Short Course on Mathematical June 1990: AMS-SIAM Summer Seminar on Vortex Dynamics Questions in Robotics, Louisville, Kentucky. and Vortex Methods, location to be announced. June 7-July 4, 1990: Joint Summer Research Conferences in July 1990: AMS Summer Research Institute on Differential the Mathematical Sciences, University of Massachusetts at Geometry, University of California, Los Angeles, California Amherst, Massachusetts. Events Cosponsored by the Society February 15-20, 1990: Section A (Mathematics) Sessions at the AAAS Annual Meeting, New Orleans, Louisiana. Deadlines January Issue February Issue March Issue April Issue Classified Ads* Nov 27, 1989 Jan 10, 1990 Feb 8, 1990 March 6, 1990 News Items Nov 27, 1989 Jan 2, 1990 Feb 9, 1990 March 5, 1990 Meeting Announcements** Nov 20, 1989 Dec 21, 1989 Jan 29, 1990 February 27, 1990 * Please contact AMS Advertising Department for an Advertising Rate Card for display advertising deadlines. ** For material to appear in the Math~matical Sciences Meetings and Conferences section. OTICES OF THE AMERICAN MATHEMATICAL SOCIETY ARTICLES DEPARTMENTS 1148 Newton's Principia Read 300 Years Later V.I. Arnol'd and V. A. Vasil'ev 1147 Letters to the Editor The authors describe a theorem of Newton, and also some other new mathematical theorems, partially contained in the principia and partially 1216 News and Announcements suggested by Newton's text. 1220 Funding Information for the 1155 1989 Annual AMS-MAA Survey (First Report) Mathematical Sciences The first report on the 1989 Survey includes the 1989 survey of new 1223 Meetings and Conferences doctorates, starting salaries of new doctorates, faculty salaries, and of the AMS (Listing) a list of names and thesis titles for members of the 1988-1989 Ph.D. class. 1245 Mathematical Sciences 1189 A Differing View on Mathematics Education Reform Eleanor G. Palais Meetings and Conferences This article talks about current mathematics education reform and 1255 New AMS Publications whether efforts and money are being directed at the correct problems. 1261 AMS Reports and 1193 Survey of American Research Journals Communications This survey is our third cost-comparison study of mathematical Bylaws of the AMS, 1261 research journals, the first of which was published in 1983. We have AMS Funds, Prizes, Officers, brought that information up to date in this survey, expanded to include and Lecturers, 1266 comparisons between subscription years 1984, 1986, and 1988. 1276 Miscellaneous FEATURE COLUMNS Personal Items, 1276 Deaths, 1276 1199 Computers and Mathematics Jon Barwise 1277 New Members of the AMS This month's column contains two articles on TEX. one from a publisher's point of view and one from an author's point of view. 1278 Classified Advertising The column also contains three software reviews: a two-part review of PowerMath II; a review of Rubik's Algebra; and a review of Tarski's 1319 Forms World. 1211 Inside the AMS Accreditation of mathematics departments and small travel grants for mathematicians were two issues that raised lively debate at the recent meeting of the AMS Committee on Science Policy, held in Washington, DC in September. Allyn Jackson presents a synopsis of the Committee's discussion. 1214 Washington Outlook This month's column, written by Hans J. Oser, comments on the NSF Budget for FY 1990, a report released by D. Allan Bromley entitled ··Federal High Performance Computing Program;· and appointments made in the Department of Education. NOVEMBER 1989, VOLUME 36, NUMBER 9 1145 Mentoring and the Mathematics Postdoc By most accounts, mathematics receives an improved report on the health of its postdoctoral program. Maybe mathematics does AMERICAN MATHEMATICAL SOCIETY not compare so well to disciplines in the natural sciences, but in sheer numbers it has shown a dramatic increase in postdocs since the first "David Report". Yet, data showing numerical increases EDITORIAL COMMITTEE provide little insight into the health of the postdoctoral program in Robert J. Blattner, Michael G. Crandall mathematics. Indeed, mathematics as a discipline possibly has the Robert M. Fossum (Chairman) lowest expectations from the structure of its postdoctoral program Lucy J. Garnett, D. J. Lewis and, therefore, possibly one of the least effective postdoctoral Nancy K. Stanton, Robert E. L. Turner programs. In contrast to related disciplines, we do not view the MANAGING EDITOR postdoc as a continuing education/training period with a mentor but Donovan H. VanOsdol rather an opportunity to be free from non-research demands. ASSOCIATE EDITORS One of the reasons for the recent increase in the number of postdocs Ronald L. Graham, Special Articles Jeffrey C. Lagarias, Special Articles in mathematics is that, for statistical purposes, some funding agencies designate a researcher who receives financial support as a postdoc or SUBSCRIPTION INFORMATION Subscription prices for Volume 36 (1989) are a senior researcher simply by consideration of the number of years $1 081ist; $86 institutional member; $65 individual since the Ph.D. degree. (There have been some real increases with member. (The subscription price for members is the NSF Postdoctoral Research Fellowships and the various institute included in the annual dues.) A late charge of 10% of the subscription price will be imposed postdocs.) Apart from this relabelling, there is a rather established upon orders received from nonmembers after image of a postdoc appointment in mathematics. One is a postdoc January 1 of the subscription year. Add for post if one receives financial support for research (meaning, generally, a age: Surface delivery outside the United States and lndia-$10; to lndia-$20; expedited deliv reduced teaching assignment), one does not hold a "tenure-track" ery to destinations in North America-$15; else appointment at the same institution as the postdoc appointment, where-$38. Subscriptions and orders for AMS and one has a title that includes in it somewhere the word "postdoc" publications should be addressed to the Amer ican Mathematical Society, P.O. Box 1571, An or "fellow". nex Station, Providence, Rl 02901-9930. All or Postdoctoral appointments in mathematics, in general, have no ders must be prepaid. active component of mentoring. They function more as recognition ADVERTISING programs for the very select. Often the same individuals move Notices publishes situations wanted and classi from one postdoc appointment to the next, maintaining non-tenure fied advertising, and display advertising for pub lishers and academic or scientific organizations. track academic appointments for many years past the Ph.D. In the Copyright @ 1989 by the American Mathemat natural sciences, a postdoctoral appointment is ordinarily expected ical Society. All rights reserved. Printed in the upon earning the Ph.D. degree. There is a period of continuing United States of America. education/training with an active mentoring component and then The paper used in this journal is acid-free and falls within the guidelines established to ensure the opportunity for a postdoc no longer exists. This is not the case permanence and durability. €9 Most of this publi in mathematics. cation was typeset using the TeX typesetting sys tem.