New Math Texts Specifically Prepared for Initial College Exposure to Mathematics
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Calendar This Calendar lists all of the meetings which have been approved by the Council up to the date this issue of the cNotiaiJ was sent to press. The summer and annual meetings are joint meetings of the Mathematical Association of America and the American Mathematical Society. The meeting dates which fall rather far in the future are subject to change; this is particularly true of meetings to which no numbers have yet been assigned. Abstracts should be submitted on special forms which are available in most departments of mathematics; forms can also be obtained by writing to the headquarters of the Society. Abstracts to be presented at the meeting in person must be received at the headquarters of the Society in Providence, Rhode Island, on or before the deadline for the meeting. Meeting Deadline for Abstracts* Number Date Place and News I terns August 1974 No summer meeting; Inter- June 15, 1974 national Congress (see below) (News Items only) 716 October 26, 1974 Middletown, Connecticut Sept. 3, 1974 717 November 8-9, 1974 Nashville, Tennessee Sept. 24, 1974 718 November 22-23, 1974 Los Angeles, California Sept. 24, 1974 719 November 23, 1974 Houston, Texas Sept. 24, 1974 720 January 23-27, 1975 Washington, D. C. Nov. 5, 1974 (81st Annual Meeting) April 18-19, 1975 Monterey, California June 20-21, 1975 Pullman, Washington August 18-22, 1975 Kalamazoo, M!cb!gan January 22-26, 1976 San Antonio, Texas (82nd Annual Meeting) *Deadline for abstracts not presented at a meeting (by title). August 1974 issue: June 8 October 1974 Issue: August 26 OTHER EVENTS Angust 21-29, 1974 International Congress of Mathematicians Vancouver, B. C., Canada April 15, 1974 The zip code of the Post Office Box of the Society has been changed from 02904 to 02940. Correspondents are requested to note this change in their records. Please affix the peel-off label on these cNofiaiJ to correspondence with the Society concerning fiscal matters, changes of address, promotions, or when placing orders for books and journals. The c)fofiaiJ of the American Mathematical Society is published by the Americao Mathematical Society, P. 0. Box 6248, Providence, Rhode Island 02940, in Jaouary, February, April, June, August, October, November, aod December. Price per aonual volume is $10. Price per copy $3. Special price for copies sold at registration desks of meetings of the Society, $1 per copy. Subscriptions, orders for back numbers (back issues of the last two years only are available), and inquiries should be addressed to the American Mathematical Society, P. 0. Box 6248, Providence, Rhode Island 02940. Second class postage, paid at Providence, Rhode Islaod, aod additional mailing offices. Copyright © 197 4 by the American Mathematical Society Printed in the United States of America OF THE AMERICAN MATHEMATICAL SOCIETY Everett Pitcher and Gordon L. Walker, Editors Wend ell H. Fleming, Associate Editor CONTENTS MEETINGS Calendar of Meetings . Inside Front Cover Program for the May Meeting in DeKalb . 172 Abstracts for the Meeting: A-453-A-464 INVITED SPEAKERS AT MEETINGS................................................... 178 PRELIMINARY ANNOUNCEMENTS OF MEETINGS . • . 179 NEW FORMAT FOR ABSTRACTS . 179 THE ROLE OF THE DISSERTATION IN THE PH. D. PROGRAM . • . 180 QUERIES •...........•..........•.....•.•.• , .............. , . • . • . 186 THE PRESERVATION OF ARCHIVAL MATERIALS 187 SPECIAL MEETINGS INFORMATION CENTER . • . 188 PERSONAL ITEMS . • . 190 NEW AMS PUBLICATIONS .......................................•.••.......... , . 191 NEWS ITEMS AND ANNOUNCEMENTS . 179, 189, 191 RELATIONS BETWEEN US-USSR SCIENTIFIC JOURNALS AND PUBLISHERS . 192 ABSTRACTS ....................................................•................... A-431 ERRATA TO ABSTRACTS ............................................................ A-464 SITUATIONS WANTED .............................................................•. A-465 Seven Hundred Fifteenth Meeting N orthem Illinois UDiversity DeKalb, Illinois May 13-17,1974 The seven hundred fifteenth meeting of the John Milnor, David Mumford, Albrecht Ffister, American Mathematical Society will be held at Julia B. Robinson, Guido Stampacchia, John T. Northern nlinois University in DeKalb, nlinois, Tate, Robert Tijdeman, ArthurS. Wightman, from Monday, May 13, to Friday, May 17. The and Chung-Tao Yang. principal feature of the meeting will be a sym There will be five hour addresses per day posium on Mathematical Developments Arising in the symposium on Monday through Thursday. from the Hilbert Problems. In additon there will be four hour addresses for In 1900, David Hilbert delivered a lecture the Society meeting on Friday whose subject mat before the Second International Congress of ter will be an integral part of the symposium; Mathematicians at Paris. In this lecture, he they will be given by John H. Conway, 0. Timothy posed only ten of the twenty-three problems that O•Meara, Hugh L. Montgomery, and James B. appeared in the published reports. The paper Serrin. was first published in the Gottinger Nachrichten At the request of the Organizing Committee [{1900), 253-297], and Archiv der Mathematik of the Symposium on Mathematical Developments und Physik [3d ser. 1 (1901), 44-63, 213-237]. Arising from the Hilbert Problems, Professor The English translation by Dr. Mary Winston Jean Dieudonne has set up a committee of emi Newson appeared in the Bulletin of the American nent mathematicians to assemble a list of the Mathematical Society [50 (1902), 437-479] under most outstanding unsolved problems of present the title "Mathematical problems"; and a sum day mathematics. It is hoped that such a list mary in French of Hilbert• s talk and the list of might serve to focus the interest of young re the problems appeared in L' Enseignement Mathe search mathematicians on worthwhile projects matique [2 (1900), 349-355]. A substantial por and help them see their way through the con tion of the Bulletin article, with some additional siderable amount of mathematical publications. comments, was reproduced as Chapter 10, "The It is hoped that a preliminary version of this future of mathematics," in Hilbert by Constance collection of problems will be available at the Reid, Springer-Verlag, 19~ symposium and that a more definitive version Hilbert died in 1943 at the age of eighty-one. will be published in the proceedings of the sym An obituary by Hermann Weyl appeared in the posium. Bulletin of the American Mathematical Society There will be sessions for the presentation [50 (1944), 612-654], and in the Boletin da So of contributed ten-minute papers early Friday ciedade de Matematica de Sao Paulo [1 (1946), morning and late Friday afternoon, May 17. 76-104, and 2 (1947), 34-601. Professor Weyl All the addresses on the Mathematical De stated: "His Paris address on •Mathematical velopments Arising from the Hilbert Problems problems• .•. straddles all fields of our science. will be presented in the Carl Sandburg Audito Trying to unveil what the future would hold in rium of the University Center. The sessions of store for us, he posed and discussed twenty contributed papers will be held in Reavis West, three unsolved problems which have indeed, as a classroom building four-minutes walk from we can now state in retrospect, played an im the University Center. portant role during the following forty odd years. The Council of the Society will meet at A mathematician who had solved one of them 2:00 p.m. on Sunday, May 12, 1974, at the thereby passed on to the honors class of the Holiday Inn, 1212 W. Lincoln Highway in DeKalb. mathematical community." In the time that has REGISTRATION elapsed since Weyl wrote this, further develop ments have strongly endorsed his opinion. The registration desk will be located in the This symposium on Mathematical Develop lobby of the University Center. The desk will be ments Arising from the Hilbert Problems will be open from 8:30 a.m. to 4:30 p.m. Monday supported by a grant from the National Science through Friday. A message center will be main Foundation. This topic was chosen by the Com tained at the registration desk. The registration mittee to Select Hour Speakers for Western Sec fees for the meeting are as follows: members tional Meetings. The Organizing Committee of $5. 00, nonmembers $7. 50, and students and the symposium consists of Paul T. Bateman, unemployed mathematicians $1. 00. Felix E. Browder (chairman), R. Creighton ACCOMMODATIONS Buck, Donald J. Lewis, and Daniel Zelinsky. The list of speakers includes Lipman Bers, The following accommodations will be Enrico Bombieri, Herbert Busemann, Nicholas available on or near the Northern nlinois Uni M. Katz, Steven L. Kleiman, Georg Kreisel, versity campus for this meeting. R. Langlands, G. G. Lorentz, Donald A. Martin, A. Dormitory accommodations in Grant 172 South, a student dormitory complex ten-minutes From O•Hare to DeKalb walk from the University Center. These accom modations are not recommended for families with Lv. O•Hare Ar. DeKalb small children. Maid service is not provided. Room rates are $3. 50 per person per night on a Sun. May 12 3:35p.m. 5:20p.m. double occupancy basis, and $5. 50 per person 5:35p.m. 7:20p.m. per night in a single room. 7:35p.m. 9:20p.m. B. Accommodations in the University Plaza, a private dormitory type building five Mon. May 13 9:35a.m. 11:20 a.m. minutes walk from the University Center. Maid 11:35 a.m. 1:20 p.m. service is provided. Room rates are $7. 50 per 7:35p.m. 9:20p.m. person per night on a double occupancy basis, Tues. May 14 7:35p.m. 9:20p.m. and $8. 50 per person per night in a single room. All rooms have shared baths. Wed. May 15 7:35p.m. 9:20p.m. C. A limited number of rooms in the Uni Thurs. May 16 3:35p.m. 5:20p.m. versity Center. All of these rooms are for dou 5:35p.m. 7:20p.m. ble occupancy at the rate of $7.