June 18 and 19)- Page 341

Vl 0 ~

Mathematical Society Calendar of AMS Meetings

THIS CALENDAR lists all meetings which have been approved by the Council prior to the date this issue of the Notices was sent to press. The summer and annual meetings are joint meetings of the Mathematical Association of America and the Ameri· can 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. Programs of the meetings will appear in the issues indicated below. First and second announcements of the meetings will have appeared in earlier issues. ABSTRACTS OF PAPERS presented at a meeting of the Society are published in the journal Abstracts of papers presented to the American Mathematical Society in the issue corresponding to that of the Notices which contains the program of the meet­ ing. Abstracts should be submitted on special forms which are available in many departments of mathematics and from the office of the Society in Providence. Abstracts of papers to be presented at the meeting must be received at the headquarters of the Society in Providence, Rhode Island, on or before the deadline given below for the meeting. Note that the deadline for ab· stracts submitted for consideration for presentation at special sessions is usually three weeks earlier than that specified below. For additional information consult the meeting announcement and the list of organizers of special sessions. MEETING ABSTRACT NUMBER DATE PLACE DEADLINE ISSUE 796 August 23-26, 1982 Toronto, Ontario, Canada JUNE 7,1982 August (86th Summer Meeting) 797 October 30-31, 1982 College Park, Maryland AUGUST 27, 1982 October 798 November 12-13, 1982 Baton Rouge, Louisiana AUGUST 24, 1982 October 799 November 12-13, 1982 East Lansing, Michigan SEPTEMBER 13,1982 November 800 November 19-20, 1982 Monterey, California S~PTEMBER 20, 1982 November 801 january 5-9, 1983 Denver, Colorado OCTOBER 12, 1982 january (89th Annual Meeting) 1983 March 18-19, 1983 Norman, Oklahoma April 14-1 5, 1983 New York, New York August 8-12, 1983 Albany, New York (87th Summer Meeting) january 25-29, 1984 Louisville, Kentucky (90th Annual Meeting) january 9-13, 1985 Anaheim, California (91 st Annual Meeting) january 21-25,1987 San Antonio, Texas (93rd Annual Meeting)

DEADLINES: Advertising: (August issue) june 23 (October issue) September 9 News/Special Meetings: (August issue) june 7 (October issue) August 23

Other Events Sponsored by the Society june 28-July 16, 1982, AMS-ASL Summer Research Institute on Recursion Theory, Cornell University, Ithaca, New York. February issue, page 194. july 6-16, 1982, AMS-SIAM Summer Seminar on Applications of Group Theory in Physics and Mathematical Physics, Univers1ty of Chicago. February issue, page 194. August 21-22, 1982, AMS Short Course: Statistical Data Analysis, Toronto, Canada. This issue, page 350.

Subscribers' changes of address should be reported well in advance to avoid disruption of service: address labels are prepared four to six weeks in advance of the date of mailing. Requests for a change of address should a/ways include the member or subscriber code and preferably a copy of the entire mailing label. Members are reminded that U. S. Postal Service change-of­ address forms are not adequate for this purpose, since they make no provision for several important items of information which are essential for the AMS records. Suitable forms are published from time to time in the Notices (e.g. June 1980, page 378). Send change of address notices to the Society at Post Office Box 6248, Providence, RI 02940. [Notices is published eight times a year (January, February, April, June, August, October, November, December) by the American Mathematical Society at 201 Charles Street, Providence, RI 02904. Second class postage paid at Providence, RI and additional mailing offices. POSTMASTER: Send address change notices to Membership and Sales Department, American Mathematical Society, Post Office Box 6248, Providence, RI 02940.] Publication here of the Society's street address, and the other information in brackets above, is a technical requirement of the U. S. Postal Service. The street address should never be used by correspondents, unless they plan to deliver their messages by hand. Members are strongly urged to notify the Society themselves of address changes (in the manner described above), since (as explained above) reliance on the postal service change-of-address forms is liable to cause delays in processing such requests in the AMS office. Notices of the American Mathematical Society

Volume 29, Number 4, june 1982

EDITORIAL COMMITTEE Ralph P. Boas, Ed Dubinsky Richard j. Griego, Susan Montgomery Mary Ellen Rudin, Bertram Walsh Everett Pitcher (Chairman) MANAGING EDITOR Lincoln K. Durst ASSOCIATE EDITORS Hans Samelson, Queries Ronald L. Graham, Special Articles 322 Cryptology and the National Security Agency SUBSCRIPTION ORDERS Subscription for Vol. 29 (1982): 324 Letters to the Editor $36 list, $18 member. The subscription 326 Queries price for members is included in the annual dues. Subscriptions and orders 329 1982 AMS Elections for AMS publications should be 330 News and Announcements addressed to the American Mathematical Society, P. 0. Box 1571, Annex Station, 332 NSF News & Reports Providence, Rl 02901. All orders must 335 AMS Reciprocity Agreements be prepaid. 341 Future Meetings of the Society ORDERS FOR AMS BOOKS AND Bellingham, june 18-19, 341 INQUIRIES ABOUT SALES, SUBSCRIP­ Toronto, August TIONS, AND DUES may be made by 23-26, 347 calling Carol-Ann Blackwood at College Park, October 30-37, 367 800-556-7774 (toll free in U.S.) between Baton Rouge, November 72-73, 368 8:00a.m. and 4:15 p.m. eastern time, Invited Speakers, 370; Special Sessions, 370 Monday through Friday. See page 17. Information for Organizers of Special CHANGE OF ADDRESS. To avoid Sessions, 371 interruption in service please send 373 Special Meetings address changes four to six weeks in advance. It is essential to include the 377 New AMS Publications member code which appears on the 381 Miscellaneous address label with all correspondence Personal Items, 381; Deaths, 381; regarding subscriptions. Visiting Mathematicians, 382 INFORMATION ABOUT ADVERTISING 385 Acknowledgement of Contributions in the Notices may be obtained from Virginia Biber at 401-272·9500. 389 AMS Reports and Communications CORRESPONDENCE, including changes Recent Appointments, 389; Reports of Past of address should be sent to American Meetings: Cincinnati, 389; March Council Mathematical Society, P.O. Box 6248, Meeting, 391 Providence, Rl 02940. 393 Advertisements Second class postage paid at 395 Registration Forms Providence, Rl, and additional mailing offices. Copyright © 1982 by the Toronto Preregistration and Housing American Mathematical Society. Reservation Form, 395, 396; Printed in the United States of America. Summer List of Applicants, 398, 399 Cryptology and the National Security Agency The National Security Agency has been moving to carry out a recommendation from the Public Cryptography Study Group to institute a system of voluntary prepublication review of certain material of interest to the Agency. (The PCSG report was reprinted in the October 1981 Notices, pages 517 to 526.) The position of the Council in anticipation of a request from the NSA was recorded in the February 1982 Notices on page 213. One aspect of the Council position was that the Notices should publicize, without endorsement, any request by NSA for individuals to participate in the review process. The following letter from the Director of the NSA to the Executive Director of the Society is an invitation to individuals voluntarily to submit papers relating to cryptography to the NSA for security review.

National Security Agency Central Security Service Fort George G. Meade, Maryland 20755

Serial: N0463 22 Apr 1982

Dr. William J. LeVeque Executive Director American Mathematical Society P.O. Box 6248 Providence, Rhode Island 02940 Dear Dr. LeVeque: Two years ago at the suggestion of my predecessor Admiral Inman the American Council on Education sponsored, under a grant from the National Science Foundation, a Public Cryptography Study Group (PCSG) to address the concerns of the National Security Agency (NSA) that some information contained in published articles and monographs on cryptography could endanger the mission of NSA and the national security. The PCSG released a report in April 1981 that presents a detailed description of the concerns held by the involved parties. These concerns fall into two major categories-protection of national security and the issues that may affect private-sector research. The report concluded with a statement of recommended guidelines for a voluntary prepublication review program designed to assist authors/researchers and NSA in protecting against the inadvertent disclosure of cryptologic information that would be damaging to national security. NSA has accepted the PCSG guidelines and is moving toward their full implementation. Within this framework, we have developed internal procedures to facilitate timely review of research papers and provide a rapid response to authors. A central point has been established for receipt, staffing and response to authors submitting papers. As we have already received approximately 25 papers, we have been able to test the system. These papers have been reviewed and commented upon within our 30-day target. To date no national security concerns have been raised with any of the papers we have reviewed. If a paper does cause a national security concern, we will communicate directly with the author to make arrangements for a personal discussion of how the paper might be made acceptable to all concerned. We fully expect that we will be able to reach an accord with the author in such a case. However, if not, the author will have an appeal mechanism. Although not yet fully staffed, a five-member Public Cryptography Advisory Committee (PCAC) is being established to serve as the appeal mechanism for authors who choose to use it. It will be composed of two members nominated by the Director, NSA, and three members nominated by the Science Advisor to the President. All members will be appropriately cleared for access to classified information. The PCAC will hear both sides of the issue and make a non-binding recommendation to both the Director, NSA, and the author. We anticipate, based on our experience to date, that papers will rarely prompt involvement by the PCAC. 322 Based on the recommendations of the Public Cryptography Study Group, we are working with various technical societies to reach agreement on a precise definition of areas which would be appropriate for submission. The following definition has been provided to the societies for their comments: "We are especially interested in reviewing papers that discuss or present the analysis and evaluation of cryptography (mechanical, manual or computer based systems, general or specific, whether intended for public or private use); specific cryptographic techniques or applications (for example, data encryption standard or techniques involving digital signature, authentication, etc.); and theoretical or actual evaluation methods (such as proofs of security or standards for cryptosystems)." We anticipate that it will take some time to reach agreement on the precise wording of this definition. In the interim, authors/researchers may currently have materials that they believe come within the scope of this program and which are appropriate for NSA review. In that event, we would welcome the opportunity to review and comment on papers, manuscripts or related items of any individual who is performing research in or related to the field of cryptology and believes such research may have national security implications. In making this interim proposal, we recognize that the entire prepublication review procedure is voluntary. Since most researchers cannot be expected to know what information related to cryptology the government considers sensitive, we wish to work together with you on the assumption that we can be of assistance. Be assured that we do not desire to suppress all research in cryptology. We fully appreciate the need for good cryptography in the private sector and are interested in working with industry toward that end, commensurate with the protection of national security. Individuals or firms that have programs that deal with cryptology which are not related to a government contract or involve classified information made available to them by the government may wish to submit their papers to NSA. I, therefore, wish to express my support for this program and invite authors, researchers, and publishers in the academic and commercial communities to voluntarily forward their papers addressing subjects related to cryptology to NSA for a security review. We also intend to publish this invitation in the Federal Register to expand its potential audience. Papers may be mailed to: National Security Agency Director of Policy Fort George G. Meade, MD 20755 If you have any questions regarding our invitation to participate in this review program, please contact Lt. Col. David Tisdale of my staff on (301) 688-6527 who will be pleased to respond to your inquiries. Sincerely,

LINCOLN D. F AURER Lieutenant General, USAF Director, NSA/Chief, CSS

323 Letters to the Editor

Teaching Loads two large mathematics libraries and to borrow I participated in the Mathematical Sciences from them on interlibrary loan if necessary. Employment Register in Cincinnati, hoping to The program at the University of Minnesota find a position in an institution with a teaching involves monographs from both the 19th and load low enough to allow time for research. To 20th centuries, and an estimated 8235 titles are my surprise, most employers required excessively involved. Journal title holdings are already in heavy teaching loads. machine readable form for the entire Minnesota which is a member of the Research Later I saw the "Report of the 1980 CBMS library system, Survey" excerpted in the February Notices (pages Libraries Group. Funding for this conversion 139 to 143), which reports a 33% increase in project comes from a grant of the Andrew W. total enrollments in the mathematical sciences Mellon Foundation to the Research Libraries accompanied by an increase of only 8% in the full­ Group. time mathematical sciences faculty in four-year At the University of illinois, Urbana-Cham­ colleges and universities over the five-year period paign, a Title II-C grant from the U.S. Office of from 1975 to 1980. Education is funding a more ambitious project. As the proposal states: I wish to call the attention of readers of the Notices to the resolution adopted by the The grant will enable the University of illinois to establish a document delivery and reference center AMS Council of April 11, 1975, and printed in in mathematics at the same time as the American the January 1976 issue of the Notices on page Mathematical Society makes available its online 75. This resolution should be reprinted, both database MATHFILE. The 2000 unowned monograph in the Notices and in Employment Information titles reviewed in Mathematical Reviews will be acquired and the Society on microfilm and added to an existing collection of in the Mathematical Sciences, 35,000 monograph titles and 1300 serial titles. Data should take affirmative action in order to convince from all titles will be entered into the OCLC database, administrators of the inadvisability of heavy using AACR-II cataloging and latest class numbers. teaching loads. In addition the Society should urge Thus, this project will provide nationwide access to a its members not to accept positions at institutions major research collection in mathematics, by means of standardized, uniform cataloging in the country's with heavy loads and should publish lists of the largest database. offending institutions. Suzanne Fedunok Young Han Choe Mathematics Library Acadia University Columbia University EDITORS' NOTE: The problem addressed in Professor Choe's letter has been considered by the Society's Lagarias Article Committee on Employment and Educational Policy (CEEP) which has recommended the formation of a high This letter is prompted by the publication of level committee jointly appointed by the AMS, MAA and the article by J. C. Lagarias in the February SIAM to recommend appropriate action. CEEP's proposal 1982 issue. It confirms a change of point of view has been considered by the AMS Agenda and Budget Committee which recommended that the President of the about the function of the Notices, which seems to Society consult with the other two presidents in order to me questionable both for editorial and financial initiate consideration of this very serious problem. The reasons. Committee on Teaching Loads and Class Size, which is Originally, as I remember it, the Notices was referred to in the January 1976 Notices, was dissolved by the Council at its meeting on March 16, 1982, at created to take out of the Bulletin the material which time the Council heard a report on the action taken of ephemeral value. It was therefore meant to by CEEP and expressed its hope that the study of the be produced as cheaply as possible, as it was problems cited would continue. understood that most people would discard their copies after a while. There were in fact, a few years Library Computerization later, some attempts to give it a more exalted I believe it will be of interest to members status, with pictures and some public relations of the Society to know that two large U.S. oriented prose, but this was curbed, fortunately. research libraries-the University of Minnesota Still, little by little, the Notices has acquired a and the University of lllinois, Urbana-Champaign somewhat higher status, so much so that it was -are now engaged in projects to convert selected decided recently to eliminate from it what seemed parts of their card catalogs on the subject of of a more transient value, namely the abstracts. A mathematics into machine readable form. This new further step in this direction is the starting of will mean that those mathematicians affiliated a series of articles meant to be of lasting interest. with the colleges of the Research Libraries Group I do not see why it is necessary to find a new (RLG) or with the Ohio College Libraries Center outlet for an article such as the one on the van (OCLC) will be able to find out through computers der Waerden conjecture. First of all, it would in their local libraries about the holdings of these fit perfectly well in the American Mathematical

324 Monthly. If it is felt however that it should be $252,000 for the Bulletin, to compare the two brought to the attention of the AMS members journals which are distributed free to the members. directly, then why not publish it in the Bulletin? This ratio seems to me to be out of proportion It is true that it does not fit into any of the with the relative importance of the two journals three categories of articles presently featured and to be therefore a further argument to revert there, but this is a decision of an editorial nature to the original policy regarding the Notices. Note which could be changed. The van der Waerden that the Notices will anyhow consist mostly of conjecture has been of interest to a substantial items of temporary interest and I would imagine number of research mathematicians for over fifty that most mathematicians do not find room on years. The fact that statement and proof can their shelves to keep it permanently, while more be understood by practically all mathematicians of them do keep the Bulletin. In the long run, a should not make the article unworthy of being mathematical article will in any case remain more published in the Bulletin. widely accessible if it is published in the Bulletin In the periodic discussions pertaining to in­ or the American Mathematical Monthly. creases in dues, the question is sometimes raised A. Borel as to whether the Bulletin should not be a privilege of membership anymore, since apparently a num­ Institute for Advanced Study ber of members find not much of interest there. In EDITORS' NOTE: Professor Borel wrote a letter his report to the members (February concerning the changing character of the Notices. He is 1982 Notices, correct in his initial view of the Notices. In 1954 the pages 164-165), Dr. LeVeque addresses this point announcements and programs of meetings, which had been and gives reasons against this move (with which separate, were organized into the journal. From time I strongly agree, by the way). In particular, to time, material was added but the journal remained he refers to the feeling of the Council that the ephemeral. Bulletin is "important in providing intellectual Beginning in 1978, a second change took place. Several coherence blocks of material, notably reports of meetings, the report among the Society members." It seems of the Treasurer, and results of elections, were removed to me that a series of "papers addressed not from the Bulletin and put in the Notices. In all three to the experts, but to the general mathematical categories, this is the sole report to the membership. The public" ( loc. cit. page 133) would also contribute to reports of meetings include the sole record of Business that intellectual coherence (and incidentally might Meetings, where motions binding on the Society and lessen the pressure to drop changes in the bylaws are sometimes approved. The the Bulletin from the Notices then replaced the Bulletin as the journal of record membership privileges), provided of course that of the Society. In that respect the Notices lost its sufficiently strict editorial standards be applied, ephemeral character. but the first article already sets very good ones. According to Dr. LeVeque's report, the Notices Editorial Censorship last year cost the Society $166,321, as against In a letter published in the Notices in June 1978, page 240, I noted that the AMS was the copyright Poliey on Letters to Editor holder of the three-volume book translated from Russian, Mathematics: Its Content, Methods and Readers who wish to respond to letters published in Meaning (MIT Press, 1963) and this issue are urged to do so before August 1, 1982. that this book had Responses received by that date may be edited to reduce been published with the final two sections of the repetition and will be considered for publication in the first chapter ("A General View of Mathematics") November 1982 issue. omitted. The reason for the omission was given Letters submitted for publication in the Notices are in a footnote on page 64 of volume 1 as: ''they reviewed by the Editorial Committee, whose task is discuss in more detail, and in the more general to determine which ones are suitable for publication. philosophical setting of dialectical materialism, The publication schedule requires from two to four months between receipt of the letter in Providence and points of view already stated with great clarity publication of the earliest issue of the Notices in which in the preceding sections." In 1978 I suggested it could appear. that the AMS could correct what I believed was an Publication decisions are ultimately made by majority instance of political censorship by publishing the vote of the Editorial Committee, with ample provision two omitted sections in the Bulletin. Although for prior discussion by committee members, by mail or the AMS did not publish these sections, another at meetings. Because of this discussion period, some letters may require as much as seven months before a journal has. Interested readers can find them in final decision is made. translation in Science and Nature, number 3, pages The committee reserves the right to edit letters. 23-40. Immediately following the translation (on pages 40-42) is an appendix entitled ''Editorial The Notices does not ordinarily publish complaints about reviews of books or articles, although rebuttals comment on the AMS and political censorship and correspondence concerning reviews in the Bulletin within science." Copies of the journal Science and of the American Mathematical Society will be considered Nature are available from Dialectics Workshop, for publication. Hyman R. Cohen, Secretary, 130 St. Edwards Letters should be mailed to the Editor of the Street, Brooklyn, New York 11201. Notices, American Mathematical Society, Post Oflice Judy Green Box 6248, Providence, Rhode Island 02940, and will be acknowledged on receipt. Rutgers University, Camden

325 Queries Edited by Hans Samelson QUESTIONS WELCOMED from AMS members regarding mathematical matters such as details of, or references to, vaguely remembered theorems, sources of exposition of folk theorems, or the state of current knowledge concerning published or unpublished conjectures. REPLIES from readers will be edited, when appropriate, into a composite answer and published in a subsequent column. All answers received will ultimately be forwarded to the questioner. QUERIES and RESPONSES should be typewritten if at all possible and sent to Professor Hans Samelson, American Mathematical Society, P. 0. Box 6248, Providence, Rhode Island 02940. Queries for x. If f(x), g(y) are identically distributed, then we write an expression for the maximum entropy density 256. Die Hodor (Institute of Isotopic and Molecular of either x or yin terms of the other. Technology, Cluj-Napoca, P.O. Box 243, Romania). C. We can be more specific and systematic in Consider the Sturm-Liouville boundary problem: asking if there is (are) a random variable(s) such that [p(x)f'(x)]' + A.r(x)f(x) = 0, x E (x1, x2); f'(xl) = f(x), g(x) have prescribed densities. f'(x2) = 0; rl exists; p,r/ and rare continuous finite D. f(x) being a random variable does not imply that real functions; xo E (x1, x2); r > 0 for x E (x1, xo); x is a random variable. r < 0 for x E (xo, x2). There exists an infinite set E. A above can be restated in terms of measures: of real eigenvalues which have the limit points -oo for any pair of real, positive, absolutely continuous and +oo. Let t:J: be the eigenfunctions corresponding measures, f.J., 1}, for all intervals, (a, b), ~J-(f- 1 (a, b)) = to the positive eigenvalues A.;t" (n = 0, 1, 2, ...) and rJ(g-1(a, b)) is equivalent to an expression relating /l­ f;; those corresponding to the negative eigenvalues and 1}, etc. A.;; (n = 0, 1, 2, ...). Does a theorem of the following F. The expression for A, above: let a:(t) be the type exist in the literature? THEOREM. The subset density for x, (3(t) be the density for y. Then f(x), g(y) of eigenfunctions f;t"(x) (n = 0, 1, 2, ...) defined are identically distributed iff (1), (2), and (3) hold. on (x1, x 2 ) is a complete system with respect to (3(t) = the class of continuous functions defined on the A(t) subinterval (xb x ) and having a null derivative in 0 (1) . a(fil(g(t))) df"il(g(t)) dg(t) the point x = x1; the subset of eigenfunctions f;; [:t I II I]; i=l dg(t) dt (n = 0, 1, 2, ...) defined on (x1, x 2 ) is a complete system with respect to the class of continuous (2) 0 ~ A(t) ~ 1; functions defined on the subinterval (x0 , x 2 ) and having a null derivative in the point x = x2 • .. (3) I: A(gj1 (g(t)) = 1. 257. Themistoeles M. Rassias (4, Zagoras Street, j=l Paradissos, Amarussion, Athens, Greece). Consider the eigenvalue problem r2 R" +rR' +A.((r4 +1)2 fr2 )R = G. We may generalize much of the above in several 1 1 (n2 -32)R whereR = R(r), r E [0, ro], ro a fixed real directions, generalizing f, g; or x, y; or R -~ R to number, and n = 1, 2, 3, ..., with boundary condition R" -+ R". For C, we may consider the existence of a:(t) such that f(x), g(x), h(x), .. ., have prescribed R(ro) = 0 and R E G~[O, ro] where G~ stands for densities, where a(t) is the (a) density for x. piece-wise 0 2 functions. Is anything known about the sum (or an upper bound of the sum) of the Responses dimensions of the eigenspaces corresponding to the negative eigenvalues of this eigenvalue problem, as a The replies below have been received to queries published recently in the Notices. The editor would function of ro? like to thank all who reply. 258. James S. Weber (Walter E. Heller College 238. (vol. 28, p. 255, April19811 John Thome) Are of Business Administration, Roosevelt University, there applications of mathematics to law? Reply: 1. Chicago, Illinois 60605). I would appreciate advice of Some references: L. H. Tribe, Trial by Math, Harvard sources of the following results or generalizations of Law Review 1971, subsequent discussion there and 1 1 1 them. Let f, g be 0 : R -+ R and made up with an article by M. S. Mason, Logical structure of a m, n strictly monotone pieces, /i, g;, i = 1, ..., m, proposition of law. 2. There are linear models and j = 1, .. . ,n. (And so f', g1 have m-1,n-1 zeroes.) catastrophe theory models for predicting decisions (see A. Let x, y be random variables with densities. That R. Keown in Math. Modelling 1 (1980), 319-329, and f(x), g(y) are identically distributed is equivalent to an Computer/Law Journal ll (1980), 829-862. 3. There expression (given below) relating the densities for x, y is a great deal of computer and statistics application, in terms of derivatives off, g, f-\ g-1 evaluated at e.g., in Datenverarbeitung im Recht. (Contributed points of the inverse image f-1(g(t)) or g-1(/(t)). by R. Keown and J. S. Lew) This leads to or motivates B--E, G, below. For other replies to this query see page 512 of the B. If f(x) has a prescribed density, then we may October 1981 Notices and page 150 of the February write an expression for the maximum entropy density 1982 Notices.

326 252. (vol. 29, p. 14, January 1982, George M. 5. Does every nonabelian representable variety of Bergman) What other general constructions of formal £-groups contain a nonabelian solvable £-group? power series exist? Reply: In Exercise 6, page 10, 6. Characterize equationally compact £-groups. of Robert Gilmer's book Multiplicative ideal theory, 7. Let U be a variety of £-groups. Is the word Dekker, New York, 1972, the following construction problem solvable for U-free products? Do U-free of a formal power series ring is given. Let R be a products satisfy the refinement property? commutative ring and let B be an additive abelian 8. Which lattice semigroup with zero such that for each element a ordered (or totally ordered, or of B, there exist only finitely many pairs (b, c) of partially ordered) rings can be embedded in power elements of B such that a = b + c. Under the series rings over the reals? obvious definitions of addition and multiplication, the 9. Is an £-prime £-ring with positive squares a set of formal sums ~bEB r,,Xb, where Tb E R, is a domain? ring. This construction is usually used to define the 10. Is there a Hahn embedding theorem for totally ''full" power series ring R[[{X>-}Jia in an infinite set ordered domains? {X>-} of indeterminates over R. The construction 11. Is there a finitely generated right orderable cited doesn't seem to help in regard to the series group which is simple? Is there one which is perfect? ~:,_ tFi mentioned in the query. 00 (Contributed by 12. Does every right orderable polycyclic (or solv­ Robert Gilmer) able) group G possess a series from {e} to G with torsion-free abelian factors? 254. (vol. 29, p. 150, February 1982, Armel Mercier) Are there improvements of 13. Is every retractable group a unique product group? 14. Does there exist a nonabelian totally ordered group with the property that b « ba whenever e « b «a? where {y} = fractional part of y, k E Z, a ;;::: k -1, 15. What are the epimorphisms in the category of (J ~ t ~ 1? Reply: This can be improved to archimedean £-groups? What are they in the category « x"'+6/ 13 ·log7113x, by starting with the Fourier of archimedean £-groups with weak units and unit expansion of {y }k and at one point using an estimate preserving maps? of Van der Corput's. For details write to the Queries 16. Can every (distributive) £-semigroup be em­ column. (Contributed by G. Kolesnik) bedded in a (distributive) £-monoid? 17. Is Z EB Z an amalgamation base for the class of 255. (vol. 29, p. 150, February 1982, Andy R. all £-groups? How about ZffiZ? Magid) Is there a subfield F of the real numbers R 18. Does the class of all abelian £-groups which can such that R has (infinite) countable dimension as an be made into vector lattices form a torsion class? F vector space? Reply: This was shown to be the case by A. Bialynicki-Birula, Proc. Amer. Math. Soc. 19. Are any two scalar multiplications on a vector 35 (1972), 354-356, for real-closed, algebraically-closed lattice connected by an £-automorphism? and the p-adic fields. It seems open for more general 20. Does the free group G of finite rank n > 1 have fields. (Contributed by G. Bergman, "a student", W. a finite subset S such that there is a unique total order Waterhouse) of G making all elements of S positive? 21. Does any nonabelian variety of £-groups satisfy Problem Lists the amalgamation property? For which varieties of £-groups is Z in the amalgamation base? Ordered Algebraic Structures Topics in Scattering and Spectral Theory The following list of unsolved problems, many of which come from an informal notebook known as The Black The following is a list of open problems in analysis Swamp Book, was submitted to a special session on submitted by A. G. Ramm to the special session on Ordered Algebraic Structures. The special session Topics in Scattering and Spectral Theory held at the was organized by Wayne B. Powell and Constantine AMS meeting in Cincinnati, Ohio, January 11-17, Tsinakis and held at the AMS meeting in Cincinnati, 1982. Ohio, January 11-17, 1982. I. Part 1. (Problems of a more general nature). 1. Can every totally ordered group be embedded in 1. Consider the integral a totally ordered divisible group? (1) 2. Does every torsion-free abelian group admit an archimedean lattice order? u(x) = { ex:(i~Jx -lsi) f(s) ds, k > 0, x E R 3 , lr 1r x- s 3. If each element of an £-group G has a normal value, then is G normal valued? where r is a smooth noncompact surface. What 4. Can the carrier (i.e., the totally ordered set) of are the properties of u(x) as a function of complex every totally ordered group be the carrier of an abelian JxJ? Under what assumptions on r are there no totally ordered group? u E L 2 (1xJ ;;::: R, x E D) u ¢ 0 [1, p. 298]?

327 2. Is it possible to use the structure of ideals in the 9. Is there a basis { f = ~ G ·

0 [1, Appendix 10 and 3]. geometry. Given :l\1 ~ · · · ~ >-m, where m is some 12. Let given integer, find a domain D ERr such that :l\j, 1 :::; J. :::; m are the eigenvalues of the Dirichlet Utt = V' 2u, t ~ 0, x E R 3 \ D, Laplacian in D. In what way does the solution depend { u\&D =0, on the boundary condition and on the differential operator? Clearly, the solution is not unique. Is there u(x, 0) = 0, Ut(x, 0) = f(x). any kind of stability in the solution? Is it true that u(x, t) = 2::~ 1 Gj(X, t)exp( -ikjt) on 5. Let A > 0 and S be compact linear operators where { kj} are defined in problem 11 [1, Appendix 10 true a Hilbert space H, and I+ S be invertible. Is it and 3]? that >-n{A(I + 8)}/>-n{A} --+ 1 as n --+ oo where References A [1, 1.7 and problem 5 >-n{A} are the eigenvalues of 1. A. G. Ramm, Theory and applications of some on p. 81]? new classes of integral equations, Springer-Verlag, 6. Global existence of solutions to the system New York, 1980. B. A. Taylor, A new proof :t = f(x), 2. A. G. Ramm and { of absence of positive discrete spectrum of the x(O) = e, Schrodinger operator, J. Math. Phys. 21 (1980), via global existence of solutions to the linear problem 2395-2397. 3. A. G. Ramm, Mathematical foundations of the (p = Acp, Acp = t f/Jcp . singularity and eigenmode expansion methods, J. { Appl. 86 (1982). (to appear) cp(O) = '1/J, j=l

Study the behavior of d(t) = diamsupp u(x, t), where II. Part 2 (Problems of a more special nature). 1. Derive the Kalman-Bucy estimation theory from the theory given in [1, Chapter 1]. L(~: ~~), 'ljJ E i/, 2. Study the numerical effectiveness of the iterative boundary 0 1 . . methods of solving the exterior and interior where H IS the Sobolev space of functiOns with value problems [1, 2]. Develop a theory of cubatures compact support. on classes of functions with weak singularities. 7. Given a positive semi-definite operator A : 3. Calculate the stationary but not extremal point L 2(D) --+ L2(D) with the kernel A(x, y), x, y ERr, of functionals [3]. and € > 0, is it possible to find a selfadjoint elliptic 4. Is it true that among all surfaces with a given operator L : L 2 (Rr) --+ L 2(Rr), and a function f area S the confocal resonator with circular mirrors has such that 1\f(L)- AI\ < €, where the norm is some the minimal diffraction losses [1, p. 199]? operator norm (e.g. the operator norm on the space of 5. Let linear bounded on H = L 2(D) operators) [1, Chapter -y" + q(x)y = >.y, 1]? { 0 < >-t < )\2 :::; •. ·. y(1) 0, 8. Is it possible to extend the theory given y(O) = = in Chapter 1 of [1] to the class of kernels 1 Let Q = {q: q ~ 0, f0 q dx = 1}. fA P(>.)Q(>.).) dp(>.) with Q that vanishes at some points of A (e.g. Q = >. 2 - k2 )? This might be (P) Problem: Find max :>..1(q) =A and q such that of interest in diffraction theory [1, Chapter 1]. >-t(q) =A, q E Q.

328 REMARK 1. In [I. Tadjbakhsh and J. Keller, 1982 AMS Elections Trans. ASME 29 (1962), no. 1, 159-164), a similar problem was discussed. Unfortunately, the analysis in this paper is not valid: on page 163 there is an error (the Holder inequality is incorrectly used in formula (24): for p < 1 the sign ~ in the inequality should be Couneil Nominations substituted for 2). for Viee-president REMARK 2. A formal calculation shows that if q is a solution to (P) then the corresponding and Member-at-large eigenfunction Yl = eonst and thus ij = 1. Therefore, One vice-president and five members-at-large of the A = 1r2 + 1. But the eigenfunction y1 corresponding Council will be elected by the Society in the fall of to ij = 1 is not eonst. The above mentioned formal 1982. calculation is as follows: Let -y'' +(ij+Eh)y = :>..(E)y, The vice-president will serve for a term of two years, f~(ij+Eh)dx = 1,y. = ayfa€. Note that~~ hdx = effective January 1, 1983. The Council has nominated 0. Then -y~+qy.-:>..y. = :>...y-hy. This equation two candidates for this position. They are: is solvable only if its right-hand side is orthogonal to the solution of the homogeneous problem, that is to Eugene B. Dynkin Calvin C. Moore Yl· Thus Nominations by petition are acceptable. Refer to the two previous issues of the Notices (February, pages :>... = J~lhy2 dx I = 0. 166-167; April, pages 250-251) for the rules and the fo y2 dx •=O form of the petition. The five members-at-large will serve for a term of Therefore, J~ hy~dx = 0 for all h such that J~ h dx = three years. The Council nominated seven candidates. 0. Thus y~ = eonst. Therefore, :>..1 = eonst because :>..1 They are: is continuous. If y1 = const, then from the equation -yq + qyl = AY1 it follows that q = eonst. Peter L. Duren Paul S. Muhly Susan J. Friedlander Yum Tong Siu References Robin Hartshorne Olga Taussky-Todd 1. A. G. Ramm, Theory and applications of Irwin Kra some new classes of integral equations, Springer­ Verlag, New York, 1980. Nominations by petition are acceptable. See the 2. __ , Iterative methods for calculating the references above. If the total number of nominees is static fields and wave scattering by small bodies, less than ten, it will be brought to ten by the Council Springer-Verlag, New York, 1982. (to appear) before the ballot is circulated. 3. __ , Variational principles for resonances, J. Math. Phys. (1982). (to appear) President's Candidates for the Nominating Committee, 1983 and 1984 Four members of the Nominating Committee are to be elected in the fall of 1982. President Andrew M. Gleason has named the following six candidates: Linda Keen Robert R. Phelps 0. Carruth McGehee Bruce L. Rothschild Robert M. Miura James D. Stasheff Nominations by petition are acceptable. Refer to the two previous issues of the Notices (February, pages 166-167; April, pages 250-251) for the rules and form of the petition. If the total number of candidates is less than eight, the number will be brought up to eight by the president.

329 News and Announcements

International Congress Postponed The fellowships, granted by the Alfred P. Sloan Foundation, run for two years and are in the George D. Mostow, chairman of the U. S. National amount of $25,000. Candidates for fellowships Committee for Mathematics, has informed the Notices are nominated by senior scientists familiar with that the U. S. National Committee received the their talents. Fellows need not pursue a specified following communique: research project and are free to shift the direction of their research at any time. The grants are Paris, April 2, 1982 administered by the Fellows' institutions. To: All the National Committees for IMU S. S. Chern of the University of California, At a meeting in Paris, April1 and 2, 1982, the Berkeley, Peter D. Lax of New York University, Executive Committee of the IMU considered the Courant Institute of Mathematical Sciences, and situation for the session of the General Assembly David Mumford of Harvard University are the and for the International Congress ICM82 in mathematicians on the fifteen-member selection Warsaw in August 1982. It was decided that committee. the General Assembly should be held as planned: The mathematicians awarded Sloan Fellowships Warsaw, in August this year. for 1982, with their affiliations, are: CRAIG For the ICM82 the Executive Committee, after J. BENHAM (University of Kentucky), DAVID considering the scientific prospects for a Congress M. BRESSOUD (Pennsylvania State University), at the present time, decided to postpone the ROBERT L. BRYANT (Rice University), DAVID Congress to the latter part of 1983, with the C. BRYDGES (University of Virginia), RALPH following understanding: on the basis of this L. COHEN (Stanford University), RON DONAGI discussion, and in light of the scientific outlook (University of Utah), DAVID S. GRIFFEATH for a Congress in August 1983, the Executive (University of Wisconsin, Madison), NICHOLAS Committee will reconfirm or cancel the Congress RANGES (University of Pittsburgh), JOSEPH in November 1982. No alternative site will be HARRIS (Brown University), REBECCA A. HERB considered. (University of Maryland), CRAIG HUNEKE This procedure has been accepted by the Polish (Purdue University), ROBERT R. JENSEN Organizing Committee. (University of Kentucky), MICHAEL J. KATZ The names of the recipients of the Fields (Brown University), PETER LI (Stanford Univer­ Medals, and of the new Nevanlinna Prize in sity), NIELS 0. NYGAARD (Princeton Univer­ Information Science, will be announced at the sity), DUONG H. PHONG (Columbia Univer­ General Assembly. The medals will be awarded at sity), DAVID E. ROHRLICH (Rutgers Univer­ the Congress in 1983. sity), BRENT P. SMITH (California Institute J.-L. Lions, Secretary of Technology), DOMINGO TOLEDO (University International Mathematical Union of Utah), and JOHN J. WALSH (University of Tennessee). Newly Elected Members of the National Academy of Sciences Guggenheim Fellowships

The following mathematicians were elected to Ten John Simon Guggenheim Fellowships have membership in the U. S. National Academy of been awarded in mathematics and related areas Sciences in April 1982: HYMAN BASS, Colum­ for 1982. The award winners and their bia University, EUGENIO CALABI, University proposed studies are: GEORGE E. ANDREWS of Pennsylvania, ALAN J. HOFFMAN, IBM (Pennsylvania State University), Studies in statis­ Watson Research Center, BARRY MAZUR, Har­ tical mechanics and partition theory; DAVID R. vard University, and GIAN-CARLO ROTA, Mas­ BRILLINGER (University of California, Berkeley), sachusetts Institute of Technology. Loo-KENG Statistical aspects of risk assessment; RICHARD HuA, Academia Sinica, Beijing, was elected a C. DIPRIMA (Rensselaer Polytechnic Institute), foreign associate of the Academy. Studies in nonlinear stability theory; EDWARD G. EFFROS (University of California, Los Angeles), Sloan Fellowships Awarded Studies in noncommutative geometry; ANTHONY W. KNAPP (Cornell University), Studies in repre­ Sloan Fellowships for Basic Research for 1982- sentation theory; HAROLD W. KUHN (Princeton 1983 have been awarded to eighty-eight outstand­ University), The formulation and calculation of ing scientists, including twenty mathematicians. economic equilibria; T AI-PING LIU (University The recipients were selected on the basis of their of Maryland, College Park), Shock wave theory exceptional potential to make creative contribu­ and nonlinear hyperbolic equations; GEORGE tions to scientific knowledge. L USZTIG (Massachusetts Institute of Technology),

330 Studies in representations of finite groups; BER­ External Membership in the AMS NARD J. MATKOWSKY (Northwestern Univer­ sity), Mathematical studies in combustion theory A new category of membership, intended to and in first passage time problems; and PAUL serve the needs of mathematicians in developing MEIER (University of Chicago), Statistics in countries, has been introduced by the AMS. medicine and in the law. Mathematicians who live in countries which do Mark Kac of Rockefeller University is chairman not have any mathematical society are eligible for of the seven-member Committee of Selection. external membership in the AMS. Annual dues for this category of membership have been set at Congressional Science Fellow Appointed $3 more than the rate for reciprocity membership. The Committee on Service to Mathematicians The Conference Board of the Mathematical in Developing Countries, of which Professor Sciences has announced the appointment of JOHN Raymond Ayoub is Chairman, is promoting this T. CHU of the Polytechnic Institute of New York category of membership. as the AMS-MAA-SIAM Congressional Science A six-month trial membership from July 1 Fellow for 1982-1983. This fellowship, which is through December 1982 is $12. Dues for 1983 are one of some thirty such fellowships in various expected to be $23. fields of science, has been offered annually for In addition to subscriptions to the Notices and several years as part of a program administered the Bulletin, privileges of membership include by the American Association for the Advancement reduced rates on journals and books published of Science. Congressional Science Fellows spend by the Society as well as some journals published the fellowship year working on the staff of an by other institutions, a copy of the Combined individual congressman or of a congressional Membership List in even-numbered years and a committee or in the congressional Office of copy at a reduced rate in odd-numbered years, Technology Assessment. The AMS-MAA-SIAM attendance at meetings and presentation of papers Fellow will receive a stipend of $22,000 for the at them, reduced registration fees at summer and year. annual meetings, and voting rights for the election of Society officers. von Mises Centenary A brochure about the AMS and the privileges of membership may be obtained by writing to the A special issue of the Zeitschrift fur Angewandte American Mathematical Society, Membership and Mathematik und Mechanik in April 1983 will Sales Department, P.O. Box 6248 Providence, RI commemorate the centenary of the birth of its 02940. founding editor, Richard von Mises. The present editor of the Zeitschrijt, Gunter Changes of Address Schmidt, has issued a call for papers dedicated to Combined Membership List von Mises' memory for publication in the special von Mises issue, or in the following issue. In May 1982 members of the Society were Papers contributed for the special von Mises mailed special notes reporting the information issue should be addressed to Prof. Dr. Gunter about mailing address, position, employer and Schmidt, Akademie der Wissenschaften der DDR, location of employment, currently contained in Institut fur Mechanik, DDR 1199 Berlin, Rudower the computer file used to print the Combined Chaussee 5. Membership List. The 1982-1983 Combined Membership List will ICME 51984 be prepared this summer, so it is important that members return their forms promptly, if the The Fifth International Congress on Mathe­ information published is to be accurate. The matics Education will be held at the University of deadline for receipt in Providence is July 1, 1982. Adelaide, Australia, in August 1984. Mathematicians and mathematics education Abstract Composition Fee Raised researchers are reminded that the closing dates for applications for support to visit Australian The fee charged for composing and proofreading institutions in 1984 begin to fall due from October abstracts in the AMS office has been raised from $7 1982 onwards. to $12. Authors of abstracts of papers presented The National Organizing Committee for ICME 5 at meetings of the Society, or by title, who wish will prepare a list of interested prospective visitors to have their abstracts typeset may indicate that for circulation to Australian tertiary institutions fact on the new form soon to be distributed, late in 1982. If you are interested in being and should include a check for the composition listed, send appropriate details to its chairman, fee. Authors whose typed abstracts cannot be John Mack, Department of Pure Mathematics, properly reproduced as received will be billed for Sydney University, NSW 2006, Australia, by 30 the composition fee, in order to avoid any delay in September, 1982. processing the abstract.

331 National Seienee Foundation News & Reports

NSF Ofliee of Scientific and Engineering Italy (2), The Netherlands (2), Norway (2), Spain (1), Sweden (1), Switzerland (2), and the United Personnel and Education Kingdom (17). The National Science Foundation has replaced The forty-nine who received the awards were its Directorate for Science and Engineering Educa­ selected by the National Science Foundation from tion with the Office of Scientific and Engineering 237 applicants on the basis of their proposed Personnel and Education. plan of study after initial review and evaluation The Office, which reports to John B. Slaughter, by panels of scientists who are experts in their Director of the NSF, is the focal point within the specialized fields. Foundation for all policy and program matters NATO Fellows receive a stipend of $1,500 a related to scientific and engineering personnel and month for up to twelve months. In addition, education. dependency allowances and limited allowances for The Office has two sections: round-trip travel will be provided. The Fellowships Section, which is respon­ The five mathematical scientists, their fields sible for operating the Graduate Fellowships of study and the institutions they will at­ Program, the Minority Graduate Fellowships tend are as follows: DOUGLAS N. ARNOLD Program, the NATO Postdoctoral Fellowships (University of Chicago), Analysis, Technische Program, and travel grants to NATO Ad­ Hochschule, Darmstadt, Federal Republic of Ger­ vanced Study Institutes; and many; THOMAS P. BRANSON (Purdue Univer­ The Award Administration and Liaison Sec­ sity), Mathematical Analysis, University of Copen­ tion, which is responsible for managing major hagen, Denmark; JEFFREY S. GERONIMO active awards that were funded through (Georgia Institute of Technology), Applications of the Directorate for Science and Engineer­ Mathematics, Centre D'Etudes Nuclear de Saclay, ing Education, and for liaison with other France; THEODORE HILL (Georgia Institute of government agencies and the public regarding Technology), Probability and Statistics, Univer­ education policy and programs. sity of Leiden, The Netherlands; and MARC Walter L. Gillespie has been appointed Office K. SMITH (Northwestern University), Applica­ Director; Alphonse Buccino has been appointed tions of Mathematics, University of Cambridge, Deputy Office Director. -NSF News Release England. -NSF News Release NSF, State Department Award NSF Support of Research NATO Postdoctoral Fellowships at Foreign Institutions The National Science Foundation (NSF) and the The NSF Act recognizes and encourages the Department of State have announced the award international activities of the Foundation. Thus, of forty-nine North Atlantic Treaty Organiza­ while NSF both in authority and concept recog­ tion (NATO) Postdoctoral Fellowships in Science. nizes the international charter of science, NSF These fellowships are awarded to young scientists rarely provides U.S. dollar support for research by for full-time postgraduate study at institutions foreign institutions. The number of foreign awards and laboratories in NATO countries or in countries and their dollar value constitute a small fraction of that cooperate with NATO. total NSF support of scientific research. However, The fellowship program was initiated by NATO foreign institutions may obtain financial support in 1959 to advance science and technology and through U.S.-owned excess foreign currencies un­ to promote closer collaboration among NATO der the Special Foreign Currency Program. Any members and associated countries. Each NATO of the few NSF awards to organizations in foreign country administers the program for its own countries must include a record of approval by nationals. At the request of the Department the Secretary of State, so that the authority of of State, NSF administers this NATO-funded NSF to make such awards is exercised in a manner program for U.S. citizens and nationals. consistent with U.S. foreign policy objectives. Of the forty-nine awards announced, five are in However, NSF's support is chiefly in the U.S.­ the mathematical sciences; others are in the life foreign country cooperative research program sciences, the physical sciences (including engineer­ mode; NSF supports the U.S. component of ing) and the social and behavioral sciences. This selective cooperative activities. Both countries year's Fellows will attend institutions in Austria must participate in each project of the program, (1), Belgium (1), Canada (4), Denmark (2), France and each country must both approve and assume (7), Federal Republic of Germany (6), Israel (1), full support for its scientists, with costs shared

332 equitably, though not necessarily split for each mention to 748 applicants in recognition of their project. The foreign government would pay the potential for scientific careers. expenses of a foreign research investigation, and The fellowships provide a stipend of $6,900 per NSF would fund the collaborating U.S. scientist in year for full-time graduate study. NSF Graduate the U.S. -NSF Bulletin Fellows may attend any appropriate non-profit U.S. or foreign institution of higher education. Report on Women and Minorities An annual cost-of-education allowance of $4,000 in Seienee and Engineering is provided by NSF in lieu of all tuition and fees to the institution selected by each Fellow. Latest statistics on women and minorities in Each fellowship is awarded for three years of science and engineering are contained in a 209- graduate study. The fellowships may be used page study, Women and Minorities in Science and over a five-year period to permit students to Engineering. Data represent the years 1974 to incorporate teaching or research assistantships 1978, and information up to 1980 is included. into their education during periods in which they This report responds to a Congressional direc­ are not receiving their fellowship stipends. tive asking the NSF to gather such figures every In addition to the NSF Graduate Fellowship two years. Copies are available from the Super­ awards offered this year, 840 individuals who intendent of Documents, Government Printing received fellowship awards in previous years are Office (GPO), Washington, D.C. 20402. Prices eligible to continue their study during the 1982- may be obtained by calling the GPO (202-793- 1983 fellowship year. 3238). -NSF Bulletin The 1982 recipients in the mathematical sciences are listed below (the institutions in U.S.-China Cooperative Seienee parentheses are those awarding bachelor de­ grees, those outside the parentheses are those The NSF's U.S.-China Cooperative Science at which graduate study is to be pursued): program supports joint research projects and a DAVID A. BARRINGTON (Amherst College), limited number of joint seminars in six areas of Massachusetts Institute of Technology; RICHARD basic science: archaeology, astronomy, chemistry J. BEIGEL (Stanford University), University of of natural products, linguistics, materials science California, Berkeley; CHRISTOPHER J. BISHOP (ceramics, metallurgy and polymers), and systems (Michigan State University), University of Califor­ analysis (decision and management sciences and nia, Berkeley; JONATHAN L. BLOCK (University operations research). The NSF expects to of California, Berkeley), Harvard University; expand the scope of the program to additional RAVI B. BOPPANA (University of Maryland), fields of science in April or May. For current Massachusetts Institute of Technology; WIL­ information and guidelines, contact Pierre Perrolle LIAM R. BURLEY (Cornell University), Stan­ or Alexander DeAngelis, Division of International ford University; WALTER R. CLEAVELAND Programs (202-357-7393). -NSF Bulletin II (Duke University), Cornell University; EVAN R. COHN (Harvard University), Stanford Univer­ NSF Graduate Fellowships Awarded sity; JENNIFER COLAPIETRO (Hamilton Col­ lege), University of Michigan; STEVEN R. Five hundred outstanding college students have COSTENOBLE (Massachusetts Institute of Tech­ been offered fellowships for graduate study in nology), University of Chicago; STEPHEN the natural and social sciences, mathematics and J. CURRAN (Beloit College), University of engineering, the National Science Foundation Chicago; SHARON R. EISENSTADT (Swarthmore (NSF) announced in April. Fifty-nine of the College), Brown University; JOHN L. EL­ awards were made to students majoring in TINGE (Vanderbilt University), University of mathematics or computing. Wisconsin, Madison; JEFFREY L. EPPINGER More than 2,650 students submitted applica­ (Carnegie-Mellon University), Massachusetts In­ tions in the nationwide competition for the NSF stitute of Technology; MARGARET M. FLECK Graduate Fellowships, which are awarded on the (Yale University), Massachusetts Institute of basis of merit. Technology; HOWARD L. GAYLE (Stanford In response to the current shortage of advanced University), Stanford University; WILLIAM scientific personnel in certain fields critical to the GELLER (Harvard University), University of continued health of science in the nation, added California, Berkeley; ANDREW R. GOLDING emphasis was given to making awards in computer (Princeton University), Carnegie-Mellon Univer­ science, engineering and the earth sciences this sity; THOMAS C. HALES (Stanford University), year. Harvard University; LANE A. HEMACHANDRA Panels of scientists, assembled by the National (Yale University), Stanford University; RAFAEL Research Council of the National Academy of HIRSCHFELD (Cornell University), Stanford Sciences, evaluated applications; final selections University; MARY A. HOLSTEGE (Pomona were made by the NSF. In addition to the College), Massachusetts Institute of Technol­ fellowship awards offered, NSF awarded honorable ogy; BARNWELL W. HUGHES (University

333 of North Carolina, Chapel Hill), University NSF Awards of California, Berkeley; BRIAN R. HUNT Minority Graduate Fellowships (University of Maryland), University of Maryland; HENRY A. KAUTZ (Cornell University), Univer­ The National Science Foundation (NSF) an­ sity of Pennsylvania; KEVIN P. KEATING nounced today the award of fifty-five fellowships (Washington University, St. Louis), University to minority students of outstanding ability for of Chicago; CHARLES KNESSL (University of graduate study in the sciences, mathematics and illinois, Chicago Circle), University of Chicago; engineering. Three of the fifty-five awards are JONATHAN LENCHNER (Dartmouth College), in the mathematical sciences. (A year ago, 105 Princeton University; JOAN M. LUCAS (Cornell such fellowships were awarded, eleven of which University), Massachusetts Institute of Tech­ were in the mathematical sciences. See June 1981 nology; WILLIAM M. MCGOVERN (Pomona Notices, pages 335, 336.) MARGARET C. College), Harvard University; Over 225 students who are American Indian, MEMORY (North Carolina State University), Black, Mexican-American, Pacific Islander or (Harvard Brown University; DAVID J. MONTANA Puerto Rican submitted applications in a nation­ University; THOMAS D. University), Harvard wide competition for these fellowships, which were of North Carolina, Wil­ NEWTON (University awarded on the basis of merit. mington), Massachusetts Institute of Technology; NANCY M. P AULIKAS (University of Califor­ In response to the current shortage of advanced critical to the health of nia, Davis), Stanford University; KEVIN R. scientific personnel in fields added emphasis PERRY (New College, South Florida Univer­ the nation's scientific endeavors, in engineering and sity), Massachusetts Institute of Technology; was given to making awards JOHN C. PLATT (California State University, earth science. Long Beach), University of California, Berkeley; Panels of scientists, assembled by the National PETER K. RATHMANN (Michigan State Univer­ Research Council of the National Academy of sity), Stanford University; JOSEPH P. ROMANO Sciences, reviewed and evaluated applications, (Princeton University), University of California, with final selections made by the Foundation. In Berkeley; WILLIAM B. RUBENSTEIN (University addition to the fellowships awarded, NSF accorded of California, Berkeley), Stanford University; JEF­ honorable mention to forty-six applicants. FREY R. SACHS (Brown University), University Each fellowship provides a stipend of $6,900 per of California, Berkeley; ANDREW D. SCHWARTZ year for full-time graduate study. NSF Minority (City University of New York, Queens College), Graduate Fellows may attend any appropriate Princeton University; DAVID B. SHER (Yale non-profit U.S. institution of higher education. An University), Massachusetts Institute of Technol­ annual education allowance of $4,000 is provided ogy; GEOFFREY S. SMITH (Brandeis Univer­ to the institution by NSF in lieu of all tuition sity), Massachusetts Institute of Technology; and fees. Three full years of graduate study are TARA L. SMITH (Princeton University), Univer­ supported by each fellowship. The fellowships sity of California, Berkeley; RICHARD MARK may be used over a five-year period, so students SOLEY (Massachusetts Institute of Technology), can incorporate teaching or research assistantships Massachusetts Institute of Technology; BAR­ into their education during periods when they are BARA J. STAUDT (Moravian College), Carnegie­ not receiving fellowship support. Mellon University; EDWARD C. STOCKING In addition to the awards announced this year, (Greenville College), University of Michigan; 124 individuals who previously received minority ALAN L. SUSSMAN (Princeton University), Stan­ fellowships may continue their study during the ford University; MARCY L. THOMPSON (Mt. 1981-1982 fellowship year. Holyoke College), Massachusetts Institute of Tech­ The 1982 recipients in the mathematical nology; JUSTIN D. TYGAR (University of Califor­ sciences are listed below (the institutions in nia, Berkeley), Dartmouth College; CHARLES parentheses are those awarding bachelor degrees, H. WALTER (Princeton University), Harvard those outside the parentheses are those at which University; THOMAS S. WANUGA (Cornell graduate study is to be pursued): JOHN C. University), Massachusetts Institute of Tech­ BAEZ (Princeton University), Harvard Univer­ nology; JEREMY M. WERTHEIMER (Cooper sity; MINERVA CORDERD-BRANA (University Union), Massachusetts Institute of Technology; of Puerto Rico), University of Puerto Rico; and DOUGLAS J. WIEBE (University of Arizona), LEONARDO A. LAROCO, JR. (California In­ Cornell University; ANDREW M. WINKLER stitute of Technology), Massachusetts Institute of (Brigham Young University), New York Univer­ Technology. -NSF New Release sity; DAVID K. WITTENBERG (Brandeis Univer­ sity), Stanford University; MICHAEL W. YOUNG (University of Delaware), Carnegie-Mellon Univer­ sity; CARL E. ZIMMERMAN (Pacific Union Col­ lege), Stanford University; and BENJAMIN G. ZORN (Rensselaer Polytechnic Institute), Stan­ ford University. -NSF News Release

334 Reciprocity Agreements

The AMERICAN MATHEMATICAL SOCIETY has "reciprocity agreements" with a number of mathematical organizations around the world. A current list appears below. These RECIPROCITY AGREEMENTS provide for reduced dues for members of these organizations who choose to join the AMS and who reside outside of the U.S. and Canada. Reciproeally, members of the AMS who reside in the U.S. or Canada may join these organizations at a reduced rate. Summaries of the privileges available to AMS members who join under the terms of reciprocity agreements are given on the following pages. Members of these organizations who join the AMS as reciprocity members enjoy all the privileges available to ordinary members of the Society. AMS dues for reciprocity members are $18 for 1982, and are expected to be $20 for 1983. Each organization was asked to review and update its listing in the Spring of 1982. An asterisk ( *) after the name of an organization indicates that no response to this request had been received when the June Notice& went to press. A disc ( •) before the name of an organization indicates that application forms for that organization may be obtained by writing the American Mathematical Society, P.O. Box 6248, Providence, Rhode Island 02940. Afriea Dues: $7 (Rupees 25/-); payable to D. K. Sinha, Hon. Treasurer, IMS, Department of Mathematics, Jadavpur • Nigerian Mathematieal Soeiety University, Calcutta, India. Apply to: 0. Akinyele (Secretary), Department of Privileges: Journal of Indian Mathematical Society Mathematics, University of lbadan, lbadan, Nigeria. or Mathematics Student. Dues: $10; payable to The Nigerian Mathematical Officers: U. N. Singh (President), R. S. L. Srivastava Society. (Secretary), D. K. Sinha (Treasurer), S. Raghavan Privileges: Journal of the Nigerian Mathematical (Academic Secretary), K. G. Ramanathan (Editor of Society. Journal of Indian Mathematical Society), I. S. Luther (Editor of Mathematics Student). Officers: A. Olubummo (President), E. N. Chukwu (Vice President), I. B. Mohammed (Treasurer), 0. • Korean Mathematieal Soeiety Akinyele (Secretary). Apply to: Jongsik Kim, Korean Mathematical Society, Department of Mathematics, College of Natural Asia Sciences, Seoul National University, Seoul151, Korea. • Allahabad Mathematieal Soeiety Dues: w6,500 (us $10); payable to Korean Mathe­ matical Society. Apply to: S. R. Sinha, Secretary, Allahabad Mathe­ Privileges: Free receipt of Bulletin (two issues rtr matical Society, 5, C. Y. Chintamani Road, Allahabad- year) and Journal of the Korean Mathematical 211002, India. Society (two issues per year). Dues: us $12.50 (annual), uS"$125 (life); payable to Officers: Taikyun Kwon (President), Sehie Park (Vice K. K. Azad, Treasurer. President), Moo Ha Woo (Treasurer), Jongsik Kim Privileges: Indian JOt£rnal of Mathematics (three (Secretary). issues per year); back volumes available at 25% discount. • Mathematieal Soeiety of Japan Officers: U. N. Singh (President), Vachaspati, P. Apply to: Mathematical Society of Japan, 25-9-203, Srivastava (Vice Presidents), K. K. Azad (Treasurer), Hongo 4-chome, Bunky~ku, Tokyo 113, Japan. S. R. Sinha (Secretary), S. N. Bhatt (Editor), V. Singh Dues: $20 (for 1981); each member will be informed (Librarian). how to pay the dues after joining the Society. Caleutta Mathematieal Society Privileges: Journal of the Mathematical Society of Apply to: M. Dutta, Secretary, Calcutta Mathematical Japan; Sugakv. (in Japanese) for $4 additional dues. Society, 92, Acharya Prafulla Chandra Road, Calcutta Officers: Hiroshi Fujita (President), Chieko Yashiro 700 009, India. (Secretary). Dues: $2; admission fee $1; payable to M. Dutta, • Mathematieal Soeiety Secretary. of the Republie of China Privileges: Bulletin, News Bulletin. Officers: P. C. Vaidya (President), F. Harary, N. D. Apply to: Mathematical Society of the Republic of Sengupta, Shih I. Pai, B. R. Bhonsle, M. C. Chaki China, P.O. Box 23-3, Taipei, Taiwan, Republic of (Vice Presidents), S. K. Chatterjea (Treasurer), M. China. Dutta (Secretary). Dues: N.T. $200 (us $5.00); payable to Mathematical Society of the Republic of China. • Indian Mathematieal Soeiety* Privileges: Chinese Journal of Mathematics (two to Apply to: R. S. L. Srivastava, Hon. Secretary, IMS, four issues per year). Department of Mathematics, I.I.T. Kanpur, 208016, Officers: Tea-Yuan Hwang (President), Jau-D. Chen India. (Treasurer), Wei-Zhe Yang (Secretary).

335 • Punjab Mathematieal Soeiety Dues: DM 12; payable to G. Preuss, Institut ftir Apply to: Abdul Majeed, Secretary, Punjab Mathe­ Mathematik I, FU Berlin Hiittenweg 9, 1 Berlin 33, matical Society, c/o Department of Mathematics, Federal Republic of Germany. Punjab University, New Campus, Lahore (Pakistan). Officen: Rudolf Gorenflo (President), Hansgeorg Dues: Rupees 15/- per year or Rs. 150/- for life. (us Jeggle (Vice President), G. Preuss (Treasurer), D. $1.50 per year or US $15.00 for life); payable to Abdul Kriiger (Secretary). Majeed, Secretary. Privileges: Society News, Punjab University Jour­ Dansk Matematisk Forening nal of Mathematics, Proceedings of the Conferences, Apply to: Mogens Esrom Larsen, Secretary, Dansk Symposia and Seminars arranged by the Society. Matematisk Forening, Universitetsparken 5, 2100 Officen: B. A. Saleemi (President), MasudA. Malik, Kl/lbenhavn 0, Denmark. Rashid Hayat (Vice Presidents), Khalifa Rashid ud-Din Dues: $5; payable to Christian Berg, Treasurer. (Treasurer), Abdul Majeed (Secretary). Privileges: Mathematica Scandinavica (D.kr. 97,50 per volume), Nord. Mat. Tidss. (Normat) (N.kr. 63 Southeast Asian Mathematieal Soeiety per volume). (Members of the American Mathematical Apply to: Lee Peng Yee, Southeast Asian Mathe­ Society do not have to join Dansk Matematisk Forening matical Society, c/o Department of Mathematics, Na­ to obtain the journals. Subscription orders should tional University of Singapore, Kent Ridge, Singapore be sent directly to the journals: Normat, Univer­ 0511. sitetsforlaget, Avd. for tidsskrifter, Postbox 2959 Dues: s$12; payable to Southeast Asian Mathematical Tl/lyen, Oslo 6, Norway; Mathematica Scandinavica, Society. Matematisk Institut, Aarhus Universitet, 8000 Aarhus Privileges: Newsletter, Southeast Asian Bulletin of C, Denmark.) Mathematics. Officen: Mogens Flensted-Jensen (President), Mogens Officers: Lee Peng Yee (President), Bana Kartasas­ Esrom Larsen (Vice President), Christian Berg mita, Honesto Nuqui (Vice Presidents), Yap Kim Yew (Treasurer), Chong Chi Tata (Secretary). (Treasurer), Mogens Esrom Larsen (Secretary), Ebbe Thue Poulsen, Bodil Branner-JI/lrgensen. • VJjnana Parishad of India* • Deutsehe Mathematiker-Vereinigung e. V. Apply to: H. M. Srivastava, Foreign Secretary, VPI, Department of Mathematics, University of Victoria, Apply to: Geschiiftsstelle der DMV, Albertstrasse 24, Victoria, British Columbia, Canada, V8W 2Y2 orR. C. 7800 Freiburg, Federal Republic of Germany. Singh Chandel, Secretary, VPI, Department of Dues: DM 30.- (for reciprocity members); payable Mathematics, D.V. Postgraduate College, Orai-285001, to Kreissparkasse, Tiibingen 16269 (BLZ 641 500 U. P., India. 00), Federal Republic of Germany or Postscheckamt: Dues: $5 (annual), $50 (life); payable to Vijnana Stuttgart 18517-706 (BLZ 600100 70), Federal Republic Parishad, c/o Department of Mathematics, D. V. of Germany. Postgraduate College, Orai-285001, U. P., India. Privlleges: Mitteilungen der Deutschen Mathe­ Privileges: Jnanabha (an interdisciplinary mathe­ matiker-Vereinigung (four issues a year), Jahres­ matical journal currently published once a year); back bericht der Deutschen Mathematiker-Vereinigung volumes available at 25% discount. (four issues a year). Officen: H. M. Srivastava (Foreign Secretary and Officers: H. Werner (President), K. P. Grotemeyer Editor), R. C. Singh Chandel (Treasurer-Secretary and (Treasurer), R. Wallisser (Secretary). Managing Editor), J. N. Kapur (Chief Advisor). Edinburgh Mathematieal Soeiety Europe Apply to: The Honorary Secretary, Edinburgh Math­ ematical Society, James Clerk Maxwell Building, Asoeiaeion Matematiea Espanola King's Buildings, Mayfield Road, Edinburgh, EH9 Apply to: Miguel de Guzman, President, Asociaci6n 3JZ, Scotland. Matematica Espanola, Facultad de Matematicas, Dues: $8 (preferably £3 sterling); payable to the Universidad Complutense, Madrid 3, Spain. Honorary Treasurer. Dues: US $15 for members of the American Math­ Privlleges: Proceedings at reduced rate of $14 ematical Society; payable to Asociaci6n Matematica (preferably £5 sterling) per annum. Espanola. Officen: G. F. Roach (President), A. G. Mackie (Vice Privileges: Boletin de la Asociaci6n Matematica Espanola; Publicaciones de la Asociaci6n Mate­ President), A. C. McBride (Treasurer), T. A. Gillespie, matica Espanola (at reduced prices). J. Martin (Secretaries). Officers: Miguel de Guzman, (President), Ireneo Peral • Gesellsehaft rur Angewandte Mathematik (Treasurer), Maria T. Carrillo (Secretary). und Meehanik* Berliner Mathematisehe Gesellsehaft e.V. * Apply to: J. Zierep, Schatzmeister der GAMM, Apply to: D. Kriiger, FB 3, Sekr. H 65 TU Berlin, Institut fiir Stromungslehre der Universitiit Karlsruhe, Strasse des 17. Juni 135, 1000 Berlin 12, Federal Kaiserstr. 12, D-7500 Karlsruhe, Federal Republic of Republic of Germany. Germany.

336 Dues: DM 30.-; payable to J. Zierep, [Bank: Deutsche Dues: AS 130; payable to Inge Troch, Treasurer, Bank Karlsruhe, BLZ 660 700 04, Kto. 03/65585 01, Osterreichische Mathematische Gesellschaft, Tech­ (Sonderkonto GAMM}.] nische Universitiit Wien, Karlsplatz 13, A-1040 Wien, Privileges: Regular publications of GAMM and Austria. participation in scientific meetings at a reduced rate. Privileges: Internationale Mathematische Nach­ Offieen: K. Kirchgiissner (President}, P. Henrici richten (IMN}. (Vice President}, J. Zierep (Treasurer}, B. Brosowski Offieen: Curt Christian (President), Peter M. Gruber (Secretary). (Vice President), Inge Troch (Treasurer), Hans Ch. Reichel (Secretary), Ludwig Reich (Editor of IMN). Glasgow Mathematical Assoeiation Apply to: R. J. Steiner, Department of Mathematics, • Polskie Towarzystwo Matematyezne* University of Glasgow, 15 University Gardens, Glasgow Apply to: Polskie Towarzystwo Matematyczne, G12 8QW, Scotland. Sniadeckich 8, 00-950 Warszawa, Poland. Dues: £12.50 (us $25}; payable to Glasgow Mathe­ Dues: $6; payable to Polskie Towarzystwo Mate­ matical Association. matyczne. Privileges: Glasgow Mathematical Journal. Privileges: Any two of the five series of Annales Offieen: D. B. Webber (President}, I. S. Murphy, G. Societatis Mathematicae Polonae (Commentationes McKaig (Vice Presidents}, R. J. Steiner (Treasurer}, Mathematicae, in congress languages; Wiadom6sci Mrs. E. Fulton (Secretary). Matematyczne-Mathematical News, in Polish; Matematyka Stosowana-Applied Mathematics, in Islenzka Staerdfraedafelagid* Polish; Fundament& Informaticae, in congress languages; Populamy Miesie'

337 Privileges: Bulletin de la Societe Mathtmatiqu.e de • Unione Matematiea ltaliana* Belgique, Series A (two numbers per year) and Series Apply to: Segretaria della Unione Matematica ltaliana, B (two numbers per year), about 450 pages a year. lstituto Matematico dell Universita, Piazza Porta S. OfB.een: J. Paris (President), R. Delanghe (Vice Donato, 5, 40127 Bologna, Italy. President), J. Depunt (Treasurer), G. Hirsch (Secretary). Dues: $12; payable to Segretaria della Unione Mate­ matica Italiana. • Soeiete Mathematique de Franee* Privileges: Bollettino Unione Mathematica Italiana Apply to: American Mathematical Society, P. 0. Box -Sezione A. 6248, Providence, Rhode Island 02940. OfB.een: Carlo Pucci (President), Gianfranco Capriz Salvatore Coen (Treasurer), Luigi Dues: $13 or $42 (through June 1981); payable to (Vice President), Pepe (Secretary). American Mathematical Society. Privileges: Individuals who pay dues of $13 are entitled Wiskundig Genootsehap to receive Circu.laire and Gazette. Individuals who Apply to: G. J. Schellekens, Mathematisch Instituut, pay dues of $42 are entitled to Circu.laire, Gazette, Budapestlaan 6, 3584 CD, Utrecht, Netherlands. Bulletin, and four issues of Asterisqu.e. Dues: Hfl27,50 or $13; payable to Amro Bank, Utrecht, Oftleen: Michel Herve (President), N. Berger, C. Netherlands, Account 45.65.88.167, Penningmeester Houze!, J. L. Verdier (Vice Presidents), Lionel Wiskundig Genootschap. Btlrard-Bergery (Treasurer), M. David, J. L. Stehle Privileges: Nieuw Archie! Voor Wisku.nde (three (Secretaries). issues a year containing articles and a problem section), Mededelingen (nine issues a year containing announce­ Societe Mathematique Suisse ments and book reviews), Proceedings of the Royal Apply to: S. D. Chatterji, Secretary SMS, EPFL, Academy of Sciences- "lndagationes Mathematicae" subscription rate of Hfl Dtlpartement de Mathtlmatiques, Avenue de Cour 61, (can be obtained at a reduced 95.-, or $43). CH 1007, Lausanne, Switzerland. Oftleen: M.A. Kaashoek (President), G. J. Schellekens Dues: SFr. 10.- for members of the AMS residing (Treasurer), C. Roos (Secretary). outside Switzerland; payable to S. D. Chatterji, Secretary SMS. Latin Ameriea Privileges: Commentarii Mathematici Helvetici (reduced price). Soeiedade Brasileira de Matematiea OfB.een: A. Robert, Universite de Neuchi.tel (Presi­ Apply to: The Secretary, Sociedade Brasileira de dent); H. Carnal, Universitat Bern (Vice President); Matematica, Estrada Dona Castorina 110, 22460- Rio Sristhi Dhar Chatterji, EPF Lausanne (Secretary­ de Janeiro, RJ, Brazil. Treasurer). Dues: $6; payable to Soeiedade Brasileira de Mate­ matica. Suomen Matemaattinen Yhdistys Privileges: Boletim and Noticiario da Sociedade Apply to: Matti Lehtinen, Secretary, Department of Brasileira de Matematica (each, two issues per year). Mathematics, University of Helsinki, Hallituskatu 15, Oftleen: lmre Simon (President), Alfredo Jones SF-00100 Helsinki 10, Finland. (Treasurer), Antonio Conde (Secretary). Dues: $13; payable to Aatos Lahtinen, Treasurer, Soeiedad Matematiea Mexieana Department of Suomen Matemaattinen Yhdistys, Apply to: Sociedad Matematica Mexicana, Apartado Mathematics, Hallituskatu 15, SF-00100 Helsinki 10, Posta170-450, Mexico 20 D.F., Mexico. Finland. Dues: us $10; payable to Sociedad Matematica Privileges: Arkhimedes. Mexicana. OfB.een: Olli Lehto (Chairman), Olli Martio (Vice Privileges: BoleUn de la SMM (two issues per Chairman), Aatos Lahtinen (Treasurer), Matti Lehtinen year), Matematicas y Ensenanza (three issues per (Secretary). year), Miscelanea Matematica (irregular), Carta Informativa (three issues per year). Svenska Matematikersamfundet Oftleen: Salvador Garcia (President), Adalberto Apply to: Svenska Matematikersamfundet, Matema­ Garcfa-Maynez (Vice President), Jesus Perez-Romero tiska Institutionen, Stockholms Universitet, Box 6701, (Treasurer), Alejandro Lopez-Yanez (Secretary). s-11385 Stockholm, Sweden. Uni6n Matematiea Argentina Dues: 30 S.Kr., or 450 S.Kr. for permanent member­ Apply to: Secretary of the Union Matematica ship; payable to Svenska Matematikersamfundet. Argentina, Casilla de Correo 3588, Buenos Aires, Privileges: Mathematica Scandinavica and Nordisk Argentina. Matematisk Tidskrift at reduced rate. Information Dues: $6; payable to Union Matematica Argentina. about the meetings of the Society. Privileges: Revista de la Uni6n Matematica Ar­ Ofli.een: Jan-Erik Roos (President), Bjorn Dahlberg gentina (two issues per year). (Vice President), Gunnar SjOdin (Treasurer), Anders OfB.een: Orlando E. Villamayor (President), Carlos Bjorner (Secretary). German D. Gregorio (Secretary).

338 Middle East • Malaysian Mathematieal Soeiety* Apply to: The Secretary, Malaysian Mathematical • Iranian Mathematieal Soeiety Society, c/o Department of Mathematics, University of Apply to: Secretary, Iranian Mathematical Society, Malaya, Kuala Lumpur, Malaysia. P. 0. Box 314-1248, Tehran, Iran. Dues: $10; payable to Malaysian Mathematical Society. Dues: $21; payable to Iranian Mathematical Society. Privileges: MMS Newsletter, Bulletin of the Privileges: Bulletin of the Iranian Mathematical Malaysian Mathematical Society (two issues per Society and reduced rate for participation in the year), reduced rate for Menemui Matematik (three annual Iranian Mathematics conferences. issues per year). Offi.cers: M. Radjabalipour (President-Secretary), A. Officers: Sek-Wui Seah (President), Boon-Hua Ong, Rejali (Treasurer). Shaharir B. Mohd Zain (Vice Presidents), Gek-Ling Chia (Treasurer), Cho-Seng Lee (Secretary). Israel Mathematieal Union Apply to: Michael Shimshoni, Treasurer, Israel Math­ Mathematical Soeiety of the Philippines ematical Union, Department of Applied Mathematics, Apply to: Membership Committee, Mathematical Weizmann Institute of Science, 76 100 Rehovot, Israel. Society of the Philippines, Department of Mathematics, Dues: IS20 for Israeli residents; us$3 for AMS Ateneo de Manila University, P.O. Box 154, Manila, reciprocity members; payable to Israel Mathematical Philippines. Union. Dues: $5; payable to Mathematical Society of the Privileges: Newsletter; may attend and present Philippines. papers at meetings. Privileges: Publications and newsletters of the Offi.eers: Yakar Kannai (Chairman), Michael Shimshoni Mathematical Society of the Philippines. (Treasurer), Achi Brandt (Secretary). Officers: Bienvenido F. Nebres (President), Honesto G. Nuqui (Vice President), Josefina C. Fonacier South Paeifie (Treasurer), Fe N. Reyes (Secretary). • New Zealand Mathematieal Soeiety • Australian Mathematieal Soeiety Apply to: J. L. Schiff, Treasurer, Department of Apply to: W. R. Bloom, Secretary, Australian Mathe­ Mathematics, University of Auckland, Private Bag, matical Society, c/o School of Mathematics & Physical Auckland, New Zealand. Sciences, Murdoch University, Murdoch, W.A. 6150, Dues: $NZ 7.50 (1981); payable to J. L. Schiff, Australia. Treasurer, New Zealand Mathematical Society, c/o Dues: $A15.00 if paid before March 31; otherwise Royal Society of New Zealand, P. 0. Box 12-249, $A17.50; payable to D. G. Tacon, Associate Treasurer, Wellington, New Zealand. Australian Mathematical Society, c/o School of Privileges: All those of ordinary members except the Mathematics, The University of New South Wales, right to vote; free copy of the Newsletter of the P.O. Box 1, Kensington, N.S.W. 2033, Australia. NZMS (3 per year); subscription to Mathematical Privileges: Free copies of The Gazette and copies Chronicle at reduced rate (currently $NZ 9.00, payable of Journal Series A and B and The Bulletin at to Mathematical Chronicle Committee, University of members rates. Auckland). Officers: A. L. Blakers (President), C. C. Heyde, A. J. Officers: D. B. Gauld (President), W. D. Halford, J. H. van der Poorten, C. J. Thompson (Vice Presidents), V. Ansell (Vice Presidents), J. L. Schiff (Treasurer), D. J. G. Hart (Treasurer), W. R. Bloom (Secretary). Smith (Secretary).

THREE PAPERS ON DYNAMICAL SYSTEMS formation on qualitative properties of some long by A. G. Kusnirenko, A. B. Katok, and known problems. V. M. Alekseev The literature on smooth dynamical systems is A. G. Kusnirenko, Problems in the general theory of substantial. In selecting material for their lectures dynamical systems on a manifold the authors have set themselves a twofold aim. On A. B. Katok, Dynamical systems with hyperbolic the one hand they have tended to give a more or less structure connected account of a number of contemporary re- V. M. Alekseev, Quasirandom oscillations and quail- suits associated with general problems of the classifi- tative questions in celestial mechanics cation of dynamical systems, by describing "rough" Volume 116, vi + 169 pages (hard cover) and "typical" properties, etc. On the other hand they List price $32.40, institutional member $24.30, individual member $16.20 wish to emphasize that the general constructions ISBN o-8218-3066-X; LC 81-4981 arising here are connected with ideas going back to Publication date: May 1981 the classics, and they permit one to obtain new in- To order, please specify TRANS2/116N Prepayment is required for all AMS publications. Order from AMS, P.O. Box 1571, Annex Station, Providence, Rl 02901, or call tall free 800-556-7774 to charge with Visa or MasterCard.

339 AN APPEAL FROM THE NATURAL SCIENCES COMMITTEE OF SOLIDARITY INTERNATIONAL

HONORARY COMMITTEE: Dear Colleague: ANDREI BUDZYNSKI, Ph.D. biochem., Temple U., Philadelphia, PA. STANLEY COHEN, Ph.D. We are appealing to you to help scientists in Poland who are biochem., Vanderbilt U., Nashville, TN. completely cut off from scientific information. Even before impos­ SIDNEY P. COLOWICK, Ph.D. ing martial law, general Jaruzelski ordered a freeze on all funds hemat., Vanderbilt U., Nashville, TN. for subscriptions to scientific journals and books published in JACEK HAWIGER, M.D., Ph.D. the West. hemat., Vanderbilt U., Nashville, TN. HENRYK HIZ, Ph.D. At present, libraries in Polish universities do not receive even the linguist., U. Penn., Philadelphia, PA. most essential journals. ROALD HOFFMANN, Ph.D. chem., Cornell U., Ithaca, NY. The current black-out on scientific information in Poland re­ MARK KAC, Ph.D. math., U.S.C., Los Angeles, CA. sembles the situation on the European continent during the Second World GRANT W. LIDDLE, M.D. War. endocr., Vanderbilt U., Nashville, TN. However, the Polish Post Office delivers scientific JAMES F. MUSTARD, M.D., Ph.D. literature to pathol., McMaster U., Hamilton, Ont. Polish addressees if the subscription is prepaid in the Western STEFAN NIEWIAROWSKI, M.D., Ph.D. countries. physiol., Temple U., Philadelphia, PA. CHARLES R. PARK, M.D. We at Solidarity International have established a "Journals to physiol., Vanderbilt U., Nashville, TN. Poland Fund". We will subscribe to and send scientific journals GUNTHER STENT, Ph.D. and literature to Polish universities and individual scientists. mol. bioi., U. Calif., Berkeley, CA. WLODZIMIERZ SZER, Ph.D. Please help. Make your check payable to Solidarity International biochem., New York U., NY. and mark your check: "Journals to Poland Fund". STANISLAW ULAM, Ph.D. math., University of Florida, FL. Thank you. SIDNEY WEINHOUSE, Ph.D. biochem., Temple U., Philadelphia, PA. YANOOSH OSTROWSKI, Ph.D. ANTHONY ZYGMUND, Ph.D. Chairman, Natural math., University of Sciences Committee Chicago, IL. Solidarity International

SOLIDARITY INTERNATIONAL P.O. Box 3080, Grand Central Station New York, New York 10163 {212) 460·8141

Solidarity International is a not-for-profit corporation organized under the laws of New York State. We are involved in organizing and coordinating aid to social and educational institutions in Poland such as hospitals. orphanages, day care centers, schools and institutions of higher learning in cooperation with organizations, foundations, and analogous institutions in the United States. Solidarity International is in the process of filing an application with the Internal Revenue Service for the purpose of securing status as a tax-exempt charitable organization. Upon the granting of a timely and favorable ruling by the Internal Revenue Service, ali contributions received prior to the date of such ruling would be eligible for the charitable contribution deduction.

Donors may specify that their gifts are to be used for mathematics publications.

340 Bellingham, June 18-19, 1982, Western Washington University Program for the 795th Meeting

The seven hundred ninety-fifth meeting of the in graduate programs, will be moderated by R. American Mathematical Society will be held at Western Kauffman of Western Washington University and the Washington University, Bellingham, Washington, on participants will be D. Bushaw, W. L. Cook, H. E. Friday and Saturday, June 18-19, 1982. This meeting Reinhardt, and R. M. Schori. will be held in conjunction with a meeting of the There will be a demonstration by C. Long of Mathematical Association of America (MAA). All Washington State University of video cassettes and sessions will be held in Bond Hall. of a project book developed by MAA to answer the Invited Addresses high school students' question about mathematics: But what will I ever use it for? By invitation of the Committee to Select Hour Speakers for Far Western Sectional Meetings, there will Open House, Banquet and Luncheon be two invited one-hour addresses. The speakers and Participants arriving by Thursday evening, June the titles of their talks are: 17, are cordially invited to attend an open house at MICHAEL FREEDMAN, University of California, the home of Betty and John Reay of the Western San Diego, Bing topology, infinite procedures, and Washington University Department of Mathematics the Poincare conjecture in dimension four. and Computer Science. The Reay residence is located MARINA RATNER, University of California, at 117 Hawthorne Road in Bellingham. Berkeley, Ergodic theory in hyperbolic space. An open house and display of teaching materials will Resource Special Sessions be held Friday afternoon in the Mathematics Laboratory and at the Computer Center. By invitation of the same committee, there will be A social hour at 6:00 p.m. Friday evening, will be two special sessions of selected twenty-minute papers: followed by a banquet at 7:00 p.m. at which salmon Continuum theory, LEWIS E. WARD, JR., will be served as the entree. The featured speaker will University of Oregon. The speakers will be W. D. be EDWIN HEWITT of the University of Washington; Collins, Andrzej Gutek, Charles L. Hagopian, Kenneth his talk is Even mathematicians are odd. The cost R. Kellum, Marcus M. Marsh, Lee Mohler, R. E. of the banquet is $10 per person. Smithson, E. D. Tymchatyn, Eldon J. Vought, and L. There will be a luncheon at noon on Saturday, E. Ward, Jr. at which the featured speaker will be MARCIA P. Several complex variables, JOHN SCHERK, SWARD, Associate Director of the MAA; the title of University of Alberta. The speakers are James A. her talk is Like 55, mathematics saves lives. The Carlson, J. B. Carrell, and Linda A. Ness. cost for the luncheon is $4.50 per person. Contributed Papers Participants wishing to make reservations for the There will also be sessions for contributed ten-minute banquet and/or luncheon must do so by writing papers. Late papers will be considered for acceptance to Dorothy Telles, Department of Continuing Educa­ at the meeting, and, if accepted, will be presented at tion, Western Washington University, Bellingham, the Saturday afternoon session. These late papers will Washington 98225. A check or money order must be not be listed in the printed program. enclosed and sent so as to arrive not later than June 10. MAAProgram Registration The MAA program will include an invited address The registration desk will be located outside of by JAMES A COCHRAN of Washington State Room 105 in Bond Hall. It will be open from 8:30 University, A potpourri of eigenvalue results-the and 1:00 to 4:30 p.m. on Friday, and exploitation of analogies. a.m. to noon from 8:30 to 11:00 a.m. on Saturday. The registration two MAA special sessions. The There will be fees will be $6 for members of the AMS or MAA, $8 first is Different methods of teaching mathematics, for nonmembers, and $2 for students or unemployed presided over by Brian Hogan of Highline Community mathematicians. College; the speakers are M. M. Enneking, F. H. Hildebrand, K. Tiahrt, and R. L. Jay. The second, Aeeommodations Topics in mathematics, will be presided over by E. Housing accommodations and/or meal service will Newell of Highline Community College; the speakers be available on the campus of Western Washington are E. Zemgalis, L. A. Hinrichs, L. E. Bobisud, and K. University on a prepaid reservation basis as follows: 0. Gamon. A full room and meal plan (cost $45 per person There will also be two panel discussions, one of which double occupancy, or S51 for single occupancy) includes is Mathematics and computer science, moderated lodging for two nights (Thursday and Friday, June 17 by P. C. Gilmore of the University of British Columbia; and 18); breakfast, lunch, social hour and banquet the panel members include J. Clavert, S. Hedetniemi, on Friday, June 18; breakfast and buffet luncheon on and L. G. Stucki. The second panel discussion, Trends Saturday, June 19. Rooms are located in Ridgeway

341 Omega Residence Hall. Each has two single beds, and Pony Soldier Motor Inn all linens are provided, but there is no television or 215 N. Samish Way, Bellingham 98225 telephone service. NOTE: A minimum of two nights Telephone: 206-734-8830 lodging is required. 800-732-1249 (Washington) 800-426-1028 (Idaho, Participants not planning to reside on campus Nevada, Northern California, Oregon) may reserve individual meals at the following prices, Single $28.50 Double $31.50 which include applicable tax. Friday, June 18: (one queen-sized bed) Breakfast $2, lunch $3.50, social hour and banquet $10. Camping is available at the following campgrounds: Saturday, June 19: Breakfast $2; buffet luncheon $4.50. Breakfast on Friday and Saturday will be served L81T8.bee State Park from 7:15 to 8:15 a.m., and lunch 245 Chuckanut Drive, Bellingham 98225 on Friday will be Telephone: 206-676-2093 served from noon to 1:00 p.m. (Times for the Friday evening banquet and Saturday luncheon are included Bayview State Park 1093 Bayview Edison Road, Mt. Vernon, WA 98273 in the section, Open House, Banquet and Luncheon Telephone: 206-757-0227 on the preceding page.) All meals will be served in Birch Bay State Park Ridgeway Omega Dining Hall. 5105 Helwig Road, Blaine, WA 98230 Participants who wish to register for the full Telephone: 206-366-5944 room and meal plan, or for individual meals only, must send reservations (including specific dates and meals desired) to Dorothy Telles, Department of Travel Continuing Education, Western Washington University, Bellingham is situated 90 miles north of Seattle Bellingham, Washington 98225, along with a cheek or and 50 miles south of Vancouver, British Columbia; money order to cover the cost of the reservations both cities have international airports served by major requested, so as to arrive not later than June 10. All airlines. Two commuter airlines offer several daily reservations will be acknowledged, and will include a flights to Bellingham from Seattle, but there is no campus map and other relevant information. Written airline service from Vancouver. Passengers arriving in requests for refunds will be honored if received prior to Bellingham by plane must call a taxi from the airport; June 10. the taxi fare to the campus is approximately $10. The following area motels are all within a short Greyhound Bus Lines provides several trips each drive from the campus, and individuals should make day from both Seattle and Vancouver. Participants reservations directly with the motel of their choice. arriving at the Greyhound Bus Terminal will find taxis Rates shown do not include tax, and are subject to available for the two-mile ride to the campus. change. Participants arriving by ear should take the Samish Way exit from Interstate 5, and follow the signs to Aloha Motel the campus. Drivers should stop at the Parking and 315 N. Samish Way, Bellingham 98225 Telephone 206-733-4900 Transportation office, located at 21st and West College Way, between Single $22 Double $24-$28 the hours of 7:00a.m. and 5:00p.m. to obtain a permit for free (one bed) parking on campus. The weather is unpredictable Coachman Inn in June; it could be sunny 120 N. Samish Way, Bellingham 98225 with highs in the low 70s during the day and Telephone: 206-671-9000 lows in the 50s during the night, or it might be overcast Single $32.50 Double $36.50 and/or rainy with highs in the low 60s. It would be Evergreen Motel advisable to bring a sweater and a waterproof jacket. 1015 Barnish Way, Bellingham 98225 There are very attractive possibilities for outings Telephone: 206-734-7671 in the Bellingham area. The Mt. Baker area can be Single $22 Double $26-$28 reached by ear in 90 minutes. The San Juan Islands Motel Six can be visited by taking a ferry from Anacortes, which 3701 Byron, Bellingham 98225 is about one hour by ear from Bellingham. There Telephone: 206-734-6940 are also state, county, and city parks for picnicking Single $14.45 Double $18.45 and hiking. Detailed information about the area can Quadruple $21.45 be obtained by contacting Mrs. Dorothy Telles at the Park Motel address given above. 101 N. Samish Way, Bellingham 98225 Telephone: 206-733-8280 Single $22 Double $24 Double $28 (two queen-sized beds)

342 Program of the Sessions

The time limit for each contributed paper in the AMS general sessions is ten minutes. In the special sessions, the time limit varies from session to session and within sessions. To maintain the schedule, time limits will be strictly enforced. Abstracts of papers presented in AMS sessions at this meeting will be found in the June 1982 issue of Abstracta of papers presented to the American Mathematical Society, ordered according to the numbers in parentheses following the listings below. For papers with more than one author, an asterisk follows the name of the author who plans to present the paper at the meeting.

Friday, 9:00a.m.

MAA Invited Address Lecture Hall 3 9:00- 9:50 A potpourri of eigenvalue results-the ezploitation of analogies. JAMES A. COCHRAN, Washington State University

Friday, 9:00 a.m.

Mathematice Filma Bond Hall 105 9:00-12:00 Schedule to be announced at the meeting.

Friday, 10:00 a.m.

MAA Special Session on Dimlrent Methods of Teaching Mathematics Lecture Hall 3 10:00-10:25 Models and applications for teaching abstract algebra. MARJORIE M. ENNEKING, Portland State University 10:30-10:55 An achievement oriented, cost effective model for elementary undergraduate mathematics instruction. FRANCIS H. HILDEBRAND, Western Washington University 11:00 -11:25 Pre-calculus personalized system instruction {PSI) with instructor pacing and automated testing and grading. KENNETH TIAHRT, Montana State University 11:30-11:55 Computers in the math classroom: Do they really help? ROGER L. JAY, Lane Community College Center

Friday, 12:00 noon 12:00- 3:00 Open House in the Mathematics Resource Laboratory, Bond Hall404

Friday, 1:00 p.m.

AMS Seaaion for Contributed Papen Bond Hall 108 1:00- 1:10 (1) On Cartan-Sternberg's example of the reduction of G-structure. SHERMAN H. C. HSIAO, Tamkang University, Republic of China (795-58-4) (Introduced by Hugo Rossi) 1:15- 1:25 (2) Ck011.ps of isometries of compact manifolds. LUDVIK JANOS, University of Maryland, College Park (795-54-02) 1:30- 1:40 (3) Ezplicit convex .functional solutions of hyperbolic PDE's. Preliminary report. S. K. DEY, NASA- Ames Research Center, Moffett Field, and CHARLIE DEY*, Country Lane School, San Jose (795-65-26) 1:45- 1:55 (4) Unique determination of any harmonic function from its values given on the points of two convergent sequences. ALEXANDER ABIAN, Iowa State University (795-31-12) 2:00- 2:10 (5) Localizations of torsion theories, I. WILLY BRANDAL* and EROL BARBUT, University of Idaho (795-13-16) 2:15- 2:25 (6) Localizations of torsion theories, IT. EROL BARBUT* and WILLY BRANDAL, University of Idaho (795-13-17) 2:30- 2:40 (7) Composition series for sets of torsion theories. Preliminary report. MARK L. TEPLY, University of Florida (795-16-21) 2:45- 2:55 (8) Withdrawn 3:00- 3:10 (9) Two topological questions on subspaces of the spectrum of a n'ng. CHARLES C. HANNA, United States Naval Academy, and JON L. JOHNSON*, Elmhurst College (795-13-01) 3:15- 3:25 (10) A triangulation of the n-cube. JOHN F. SALLEE, University of Washington (795-52-25) (Introduced by Victor L. Klee) 343 Friday, 1:30 p.m.

Mathematics Films Bond Hall 105 1:30- 4:15 Schedule to be announced at the meeting.

Friday, 1:30 p.m.

MAA Panel Discussion: Mathematics and Computer Science Lecture Hall 3 1:30- 3:30 Moderator: PAUL C. GILMORE, Computer Science Department, University of British Columbia Panel Members: JAMES CALVERT, Mathematics Department, University of Idaho, STEPHEN HEDETNIEMI, Department of Computer and Information Science, University of Oregon, LEON G. STUCKI, Manager of Software Engineering, Boeing Computer Services Company, Seattle, Washington

Friday, 3:30p.m. 3:30- 5:00 Open House at the Computer Center, Bond Hall 404

Friday, 4:00p.m.

AMS Invited Address Lecture Hall 2 4:00- 5:00 (11) Ergodic theory in hyperbolic space. MARINA RATNER, University of California, Berkeley (795-58-13)

Friday, 6:00p.m. Social Hour, Banquet and Invited Speaker Ridgeway Commons 6:00- 7:00 Social Hour. 7:00 Banquet. Invited Lecture: Even mathematicians are odd. EDWIN HEWITT, University of Washington

Saturday, 8:45a.m.

Mathematics at Work in Society Bond Hall 215 8:45- 9:00 CALVIN LONG, Department of Pure and Applied Mathematics, Washington State University Video cassettes: 9:00- 9:20 An actuary-what's that? 9:20- 9:40 Mathematics in space 9:40-10:00 Mathematics: the language of research 10:00-10:20 Mathematics: where will I ever use it? 10:30-11:30 Repeat of an video cassette by request

Saturday, 9:00a.m.

AMS Special Session on Several Complex Variables Bond Hall 111 9:00- 9:20 (12) The one-motif of an algebraic surface. JAMES A. CARLSON, University of Utah (795-14-27) 9:30- 9:50 (13) On the graded rings associated to holomorphic vector fields. J. B. CARRELL, University of British Columbia (795-32-19) 10:00-10:20 (14) Group action on projective varieties and the moment map of symplectic geometry. LINDA A. NESS, University of Washington (795-53-28) 10:30-10:50 (15) Problem Session

Saturday, 9:00a.m.

AMS Special Session on Continuum Theory Bond Hall 112 9:00- 9:20 (16} Certain n-od like continua and the fixed point property. Preliminary report. MARCUS M. MARSH, California State University, Sacramento (795-54-5) 9:30- 9:50 (17) Monotone and open fixed point free mappings on uniquely arcwise connected continua. Preliminary report. LEE MOHLER*, University of Alabama, Birmingham, LEX G. OVERSTEEGEN, University of Alabama, Birmingham, and ANDREW CONNER, Auburn University (795-54-24)

344 10:00-10:20 (18) An unsolved problem concerning connectedness in the plane. Preliminary report. KENNETH R. KELLUM, San Jose State University (795-54-23) 10:30-10:50 (19) On span and chainability of continua. Preliminary report. LEX G. OVERSTEEGEN, University of Alabama, Birmingham, and E. D. TYMCHATYN*, University of Saskatchewan (795-54-10) 11:00-11:20 (20) Atriodic homogeneo'IJ.8 continua are !-dimensional. CHARLES L. HAGOPIAN, California State University, Sacramento (795-54-3) 11:30-11:50 (21) Locally homogeneo'IJ.8 continua that have only arcs as proper subcontinua. Preliminary report. ANDRZEJ GUTEK, California State University, Sacramento (795-54-8) (Introduced by Marcus M. Marsh)

Saturday, 9:00a.m.

AMS Session for Contributed Papers Bond Hall 108 9:00- 9:10 (22) On extreme points of rubordination families. YUSUF A. MUHANNA, University of Petroleum and Minerals, Saudi Arabia (795-30-11) (Introduced by Hugo Rossi) 9:15- 9:25 (23) Positive feedback may sometimes promote stability. TERRENCE M. BONE, University of Washington (795-15-22) 9:30- 9:40 (24) Inspheres and inner products. Preliminary report. VICTOR KLEE, University of Washington (795-52-15) 9:45- 9:55 (25) On the monotone union and monotone intersection properties of topological manifolds. GEORGE M. RASSIAS, National Research Institute, Athens, Greece (795-58-18)

Saturday, 9:00a.m.

MAA Special Session on Topics in Mathematics Bond Hall 105 9:00- 9:30 What is eccentricity? ELMER ZENGALIS, Highline Community College 9:35-10:05 Tensegrites: Sticks and strings. LOWELL A. HINRICHS, University of Victoria 10:10-10:40 Optimal time of appearance of mimics. LARRY E. BOBISUD, University of Idaho 10:45-11:15 Putnam Exam problems: Their role in teaching and research, KENNETH 0. GAMON, Central Washington University

Saturday, 9:00 a.m.

MAA Panel Discussion on Trends in Graduate Programs Lecture Hall 3 9:00-11:15 Moderator: ROBERT KAUFFMAN, Western Washington University Panel Members: D. BUSHAW, Washington State University, W. LYLE COOK, Idaho State University, HOWARD W. REINHARDT, University of Montana, RICHARD M. SCHOR!, Oregon State University

Saturday, 11:30 a.m.

MAA Business Meeting Lecture Hall 3

Saturday, 12:00 noon

Luncheon and Invited Speaker Ridgeway Commons 12:00- 1:30 Lunch. Invited Lecture: Like 55, mathematics saves lives, MARCIA P. SWARD, Associate Director, The Mathematical Association of America

Saturday, 1:30 p.m.

AMS Invited Address Lecture Hall 2 1:30- 2:30 (26) Bing topology, infinite procedures, and the Poincare conjecture in dimension four. MICHAEL FREEDMAN, University of California, San Diego (795-99-29)

Saturday, 2:40 p.m.

AMS Special Session on Continuum Theory Bond Hall 112 2:40- 3:00 (27) Arc structures and semitrees. R. E. SMITHSON, University of Wyoming (795-54-14) 3:10- 3:30 (28) Concerning exactly (n, 1) images of continua. SAM B. NADLER, JR., West Virginia University, and L. E. WARD, JR.*, University of Oregon (795-54-20) 345 3:40- 4:00 (29) Quasi-monotone mappings on en-continua. E. E. GRACE, Arizona State University, and ELDON J. VOUGHT*, California State University, Chico (795-54-6) 4:10- 4:30 (30) On strongly unicoherent continua. W. D. COLLINS*, California State University, Chico, and ELDON J. VOUGHT, California State University, Chico (795-54-7) 4:40- 5:30 Problem Session

Saturday, 2:40p.m.

AMS-MAA Session for Late Contributed Papers Bond Hall 108

Hugo Rossi Salt Lake City, Utah Associate Secretary

CONTEMPORARY MATHEMATICS

MARKOV RANDOM FIELDS AND The relation of the study of these models to the THEIR APPLICATIONS problem of cell growth is brought out. Computer by Ross Kinderman and j. Laurie Snell graphics are used whenever possible to illustrate the This book presents an introduction to Markov dynamics of these models. random fields and the related topic of infinite inter­ The study of Markov random fields has brought acting particle systems. The principal concepts and exciting new problems to probability theory which theorems of the subject are illustrated in terms of are being developed in parallel with basic investiga­ models currently being studied. The Ising model is tion in other disciplines, most notably physics. The used to motivate the concept of a random field. The mathematical and physical literature is often quite concept of a phase transition is discussed in terms of technical. This book aims at a more gentle intro­ the breakdown of basic probability theorems such as duction to these new areas of research. the law of large numbers and the central limit theorem. Volume 1, x + 142 pages (soft cover) Infinite interacting particle systems are illustrated List price $10.00, institutional member $7.50, individual member $5.00 in terms of examples and as the dynamic Ising model, ISBN 0·8218-5001·6; LC 80-22764 voter models, contact processes and the stepping Publication date: November 1980 stone model for genetic drift. To order, please specify CONM/1 N

Prepayment is required for all AMS publications. Order from AMS, P.O. Box 1571, Annex Station, Providence, Rl 02901, or call toll free 800-556-7774 to charge with Visa or MasterCard.

MEMOIRS OF THE AMERICAN MATHEMATICAl SOCIETY

Exceptional Lie Algebras and the Structure The main part of the monograph uses Lie algebra of Hermitian Symmetric Spaces calculations to obtain descriptions in complex by Daniel Drucker euclidean space of all the natural group orbits in The first part of this monograph is an exposition every compact irreducible hermitian symmetric space of the facts about composition algebras and Jordan as well as descriptions of the holomorphic arc com- ' algebras needed to understand and use J. Tits' con­ ponents of each orbit. In particular, all the irreduc­ struction of the exceptional complex Lie algebras ible bounded symmetric domains are described. and their real forms. This part and the detailed Because the calculations are performed at the Lie appendices on Cayley algebras and derivations of algebra level, the Tits construction makes it possible Jordan algebras were written with the nonalgebraist to handle the exceptional spaces in the same way as in mind. They contain results useful in computations the more familiar classical spaces. and assume no knowledge of nonassociative algebra Memoirs of the American Mathematical Society other than a passing acquaintance with the classifica­ Number 208, 212 pages List price $12.40, institutional price $9.30, tion of semisimple complex Lie algebras. The next member price $6.20 segment, independent of the first, is a brief intro­ ISBN 0·8218·2208-X; LC 78·15619 duction to hermitian symmetric spaces and their Publication date: August 31, 1978 orbit structure, with emphasis on restricted roots. To order, please specify MEM0/208N

Prepayment is required for all AMS publications. Order from AMS, P.O. Box 1571, Annex Station, Providence, Rl 02901, or call toll free 800-556-7774 to charge with Visa or MasterCard.

346 Toronto Meetings, August 21-26, 1982 Second Announcement

The August 1982 Joint Mathematics Meetings, The Toronto meetings will be joint meetings including the 86th summer meeting of the AMS, the in a stronger sense than before. AMS and MAA 62nd summer meeting of the Mathematical Association sessions will run concurrently and simultaneously. of America, and the 1982 annual meeting of Pi Mu In addition, the two organizations are sponsoring a Epsilon, will be held August 23-26, 1982 (Monday­ special Joint Session; details about the Joint Session Thursday), at the University of Toronto. The meetings appear later on in this announcement. will be preceded by the AMS Short Course on August 21 and 22 (Saturday and Sunday), 1982. Sessions will The members of the AMS/MAA Joint Program take place on the campus of the University of Toronto. Committee for the Toronto Meeting are Raymond G. Ayoub, Edward J. Barbeau, Jr., Leonard Gillman The members of the Local Arrangements Committee (chairman), Ronald L. Graham, Richard K. Guy, are Morton Abramson, James G. Arthur, Raymond G. Hugh L. Montgomery, George D. Mostow, Everett Ayoub (ex officio), Edward J. Barbeau, Jr. (publicity Pitcher, and Gerald J. Porter. director), L. Terrell Gardner, William J. LeVeque (ex officio), James McCool, Stephen J. Pierce (chairman), David P. Roselle (ex officio), Annette Bunter, James R. 86TH SUMMER MEETING OF THE AMS Vanstone, and John B. Wilker. August 23-26, 1982 Colloquium Lectures WHERE TO FIND IT PAGE There will be a series of four Colloquium Lectures SUMMER MEETING OF THE AMS 347 presented by MORRIS W. HIRSCH of the University Colloquium Lectures, Prizes, Invited Addresses, of California, Special Sessions, Contributed Papers, Council Berkeley. The title of the lecture series and Business Meetings, Other AMS Sessions, will be announced later. The lectures will be given at Joint AMS/MAA Sessions 1:00 p.m. Monday through Thursday, August 23-26. AMS SHORT COURSE 350 Steele Prizes PREREGISTRATION AND HOUSING 348 The 1982 Leroy P. Steele Prizes will be awarded at TIMETABLE 351 a session at 4:30 p.m. on Wednesday, August 25. OTHER ORGANIZATIONS 354 Invited Addresses AWM, MAA, liME OTHER EVENTS OF INTEREST 356 By invitation of the AMS Program Committee, there Book Sales, Summer List of Applicants, will be eight invited one-hour addresses. The list of Exhibits, Second-hand Book Exchange speakers and some of the titles follow: INFORMATION FOR PARTICIPANTS 358 DAVID W. BOYD, University of British Colum­ University Housing, Food Services, Hotel bia, Vancouver, Constructive aspects of the theory Accommodations, Registration at Meetings of the Pisot and Salem numbers; SUN-YUNG CAMPUS MAP 360 ALICE CHANG, University of California, Los An­ REGISTRATION DESK SERVICES 364 geles, HP-spaces in one and several variables; AMS/MAA Information, Audio-Visual Aid, Assistance, Comments and Complaints, Baggage and Coat Check, Check Cashing, Lost and Found, Local Information, Mail, Personal and Telephone Messages, Transparencies, Visual Index MISCELLANEOUS INFORMATION 365 Athletic Facilities, Book Stores, Camping, Child Care, Crib Rental, Libraries, Local Information, Medical Services, Parking, Social Events, Travel, Weather

IMPORTANT DEADLINES Abstracts, For consideration for special sessions Expired Of contributed papers June 7 Summer List of Applicants July 9 Preregistration and Housing July 9 Housing cancellations (refund of deposit) July 15 Second-hand Book Exchange July 19 Motions for Business Meeting July 26 Preregistration cancellations (50% refund) August 20 Dues credit for nonmembers September 26 Morris W. Hirsch, AMS Colloquium Lecturer

347 PREREGISTRATION AND HOUSING -MATHEMATICS MEETINGS HOUSING BUREAU

Those who preregister for either the Joint Mathematics At the suggestion of the AMS Board of Trustees, Meetings or the MAA Minicourses or both will be able to the AMS/MAA Joint Meetings Committee authorized pick up their badges and other material in Toronto after an experimental agreement with a travel service in an 4:00 p.m. on Sunday, August 22, 1982, during the hours attempt to aasiat participants in obtaining the beat the Joint Mathematics Meetings registration desk ia open. airline fares possible to and from Toronto. This travel Summer Lilt of Applieanta. The AMS will publish service (which has an 800 number) ia described on the a Summer List of mathematical scientists aeeking following page. All participants are urged to consider employment for distribution at the Toronto meeting in this organization for their airline and hotel reservations. August 1982. This experiment will be evaluated in order to determine To be included in the list, applicants should complete whether it can provide a useful service for members. the special applicant preregistration form form found at the back of this iaaue of the Noticea The completed form Preregiatration. Preregistration for these meetings mu.t should be mailed with the meeting preregistration form. be completed by July 9, 1982. All those wishing to The deadline for receipt of applicant forma ia the same aa preregister must complete the form which appears at the for the Joint Meetings (July 9, 1982). See the section on back of this iBBue and submit it along with the appropriate OTHER EVENTS OF INTEREST for more details. preregistration fee( a) to the Mathematics Meetings Housing Mathematica Meetings Housing Bureau. The form for Bureau in Providence by July 9. requesting university residence hall accommodations will Preregistration fees do not represent an advance be found at the back of this iaaue. The use of the deposit for lodgings. One must, however, preregister services offered by the Mathematics Meetings Housing for the meetings in order to obtain confirmed residence Bureau requires preregistration for the meetings. Persons hall accommodations through the Mathematica Meeting& desiring confirmed residence hall accommodations should Housing Bureau, aa outlined in the column to the right. complete the form, or a reasonable facaimile, and send it Checks for preregistration fees should be made payable to the Mathematics Meetings Housing Bureau, Post Office to the AMS. Canadian checks must be marked for payment Box 6887, Providence, Rhode laland 02940, so that it will in U.S. funds. Those who preregister for the AMS Short arrive no later than July 9, 1982. Course and/or Joint Mathematics Meetings pay fees which Please read carefully the section on Uuiverlity Housing are 30 percent lower than those who register at the before completing the form. Forms sent to the wrong meetings. The preregistration fees are aa followa: address and thus incurring delay in delivery to the Housing AMS Short Course Bureau until after the deadline date cannot be accepted. Please note that there are numerous choices to be made Student/Unemployed $ 5 regarding accommodations at the University of Toronto. All Others $25 Reservations will be made in accordance with preferences Joint Mathematica Meetings indicated on the housing form insofar aa this ia poaaible. Member of AMS, MAA, liME $34 All residence hall reservations will be confirmed by the Emeritus Member of AMS, MAA $ 8 Housing Bureau. All reservation requests must be received Nonmember $52 in writing and be processed through the Housing Bureau in Student/Unemployed $ 8 Providence. Please do not contact the university directly. MAA Minieouraea #1 and #2 $15 each Telephone requests will not be accepted. The number of rooms being held by the University of There ia no extra charge for members of the families Toronto residence halls ia limited. Housing assignments of registered participants, except that all professional are made on a flrat-come, first-served basis, so participants mathematicians who wish to attend sessions must register desiring specific types of accommodations are urged to get independently. their housing requests in aa early aa possible. llouaing All tun-time students currently working toward a request• received after the deadline of July 9 most aurely degree or diploma qualify for the student regiatration fees, llllllllOt be honored. regardless of income. Participants who are able to do so are urged to The unemployed status refers to any person currently share a room whenever possible. This procedure can unemployed, actively seeking employment, and who is not be economically beneficial. The housing form should be a student. It is not intended to include persona who have fully completed to ensure proper aaaignment of rooms. voluntarily resigned or retired from their latest position. Participants planning to share accommodations should The emeritus atatua refers to any person who haa been provide the name(a) of the person(a) with whom they plan a member of the AMS or MAA for twenty years or more, to occupy a room. Each participant should, however, and ia retired on account of age from his or her latest complete a separate preregistration form. Parties planning position. to share rooms should send their forma together in the A $4 charge will be imposed for all invoices prepared same envelope. when preregistration forma are submitted without accom~ Please make all changes to or cancellations of residence panying check(a) for the preregistration fee( a) or are hall reservations with the Housing Bureau in Providence accompanied by an amount insufficient to cover the total befoi"S July 15, 1982 iD order to receive a refund of the fee(a). Preregistration forma received well before the depolit. After that date, cancellations should be made deadline of July 9 which are not accompanied by correct with the Housing Bureau in Providence up until August payment will be returned to the participant with a request 20, 1982. No cancellations can be made after August 20 for reaubmiasion with full payment. until 4:00 p.m. on Sunday, August 22, when changes or A 50 percent refund of the preregistration fee( a) will be cancellations may be called in to Mary A. Coccoli at the made for all cancellations received in Providence no later Telephone Message Center number in Toronto. Changes than August 20, 1982. No refund• will be granted tor in reservations may be made at any time by notifying the 111111cellationa received after that date, or to persons who Housing Bureau. do not attend the meetings. N.B.: Place your AMS or MAA mailing label on the Those who preregister for the AMS Short Course will p1"81"8gistrationfhousing form where indicated. It you be able to pick up their badges and other material in do not have a label readily available, please supply Toronto after 11:00 a.m. on Saturday, August 21, 1982, complete DIIIJ1e, addreaa, and AMS or MAA member during the hours the AMS Short Course registration desk code. ia open.

348 The Toronto Meetings Travel Hotline - Call 800-556-6882 In Rhode Island and outside the continental U.S. call 401-884-9500 or Telex 952165 CONVENIENCE, SAVINGS, IMMEDIATE CONFIRMATION ON HOTEL & AIRLINE ARRANGEMENTS Hours of Operation: 9 a.m.-8 p.m. Eastern Time Monday through Thursday, Fridays until 6 p.m. Another Member Service to Assist You if You're Attending the Toronto Meetings and Use a Major Credit Card One free call answers all your travel questions and supplies you with all your needs, including hotel rooms and/or reduced-rate airline arrangements. Meeting preregistration can only be done through the Mathematics Meetings Housing Bureau, which can not be reached through this 800 number. See facing page for detailed information on how to preregister and obtain university accommodations. THE SUPERSERVICE: Discount travel arrangements, including special fare check service. - Whenever possible savings up to 55 percent. - Guaranteed lowest possible airfare for your itinerary. - Comparison of individual travel plans to discounted fares. - Unbiased selection of airlines so the best arrangements can be made. - Fare check: A special review 30 days prior to your trip and again 15 days prior to insure that you are getting the lowest available airline fare. You will be automatically reticketed if fares drop below your original ticket cost. - Ground transfers. HOTEL: - Immediate confirmation of hotel, room type and rate. - No mail-in forms, no waiting. N.B.: University accommodations must be obtained through the Mathematics Meetings Housing Bureau. THE NECESSITIES: - You must use VISA, MASTERCARD or AMERICAN EXPRESS to utilize the travel hotline. Please have your card number and expiration date ready when you call. -Remember, you can use this convenient service to purchase your airline tickets and ground transfers, and to make your hotel room reservation. THE GUARANTEE: The loweot fareo, immediate confirmation and individuali1ed peroonal oervice. If you have any questions regarding this service, call the Toronto Meetings Travel Hotline - 800-556-6882

HARISH-CHANDRA, Institute for Advanced Study, and Tuesday. Michael Bulis, Sydney Burris, Alberto On the theory of the Whittaker integral; JOEL Gruenbaum·, Thomas Kailath, James McClellan, Sanjoy L. LEBOWITZ, Rutgers University, Recent de­ Mitter, Robert Morris, R. Tolimieri. velopments in statistical mechanics; JOHN W. Number theory, DAVID W. BOYD, University of MILNOR, Institute for Advanced Study; BRENT British Columbia, Vancouver; Monday and Tuesday. PENDLETON SMITH, California Institute of Tech­ D. Buell, J. Chahal, T. W. Cusick, Ronald Evans, H. nology; W. T. TUTTE, University of Waterloo, R. P. Ferguson, D. A. Hensley, Wayne Lawton, Carl Map colorings and differential equations; and Pomerance, R. A. Smith, J. Solderitsch, and C. L. SHMUEL WINOGRAD, IBM Watson Research Cen­ Stewart. ter, Algebras, their representations and the discrete Classical harmonic analysis, SUN-YUNG ALICE Fourier transform. CHANG, University of California, Los Angeles and Special Sessions ROBERT FEFFERMAN, University of Chicago; By invitation of the same committee, there will Monday and Tuesday. Sheldon Axler, Mike Christ, be fourteen special sessions of selected twenty-minute Robert Fefferman, Bjorn Jawerth, Carlos Kenig, Paul papers. The titles of these special sessions, the names Koosis, Donald Marshall, Wade Ramey, Cora Sadosky, of the mathematicians arranging them, a partial list of Joel Shapiro, Peter Thomas, Alberto Torchinsky, Dave speakers, and the days they will meet are as follows. Ullrich, Tomas Wolff. Please note that final scheduling may necessitate minor Applications of logic to mathematics and com­ alterations in the dates of the sessions. puter science, HARVEY M. FRIEDMAN, Ohio The mathematical legacy of Gabor Szego, State University; Tuesday and Wednesday. Tim RICHARD A. AsKEY, University of Wisconsin, Carlson, Thomas John, Kenneth Kunen, R. Platch, Madison; Monday and Tuesday. George Andrews, Karel Prikry, Steve Simpson, and Rick Smith. David and Gregory Chudnovsky, Harry Helson, Mourad Discrete and computational geometry, JACOB Ismail, Ben Logan, Barry McCoy, Benjamin Mucken­ E. GOODMAN, City College, CUNY; Wednesday and houpt, Paul Nevai, Robert Osserman, Larry Payne, Thursday. David Avis, Bernard M. Chazelle, Fan R. Raphael Robinson, Paul Rosenbloom, Elias Stein, Ken K. Chung, H. S. MacDonald Coxeter, David P. Dobkin, Stolarsky, Joseph Ullman, and Richard Varga. Jacob E. Goodman, Richard K. Guy, Leroy M. Kelly, Complexity and digital signal processing, LOUIS Jim Lawrence, Carl W. Lee, William 0. J. Moser, AUSLANDER, Graduate Center, CUNY; Monday Richard Pollack, George Purdy, Neil J. A. Sloane,

349 American Mathematical Society Short Course Series Statistieal Data Analysis August 21-22, 1982 The American Mathematical Society, in conjunction with its eighty-sixth summer meeting, will present a one and one-half day short course entitled Statistical Data Analysis on Saturday and Sunday, August 21 and 22, 1982, at the University of Toronto. The program is under the direction of Ram Gnanadesikan, and will include lectures by Ram Gnanadesikan, Paul A. Tukey, Colin L. Mallows, Joseph B. Kruskal, and Jon R. Kettenring, all from Bell Laboratories, Murray Hill. Statistical data analysis includes a wide variety of methods for analyzing data, both to answer specific questions posed before the data are available, and also to discover significant features of the data which were not anticipated ahead of time. Useful methods range from extremely simple to mathematically sophisticated. Work in this field ranges from straightforward applications, through ingenious applications and special adaptation of existing methods, to the development of totally new methods. Many bodies of data do not yield up their secrets to standard methods, so applied statisticians find it important to stay in contact with new methodology. Useful new methods often result from the challenge posed by a puzzling set of data, so methodologists find it important to stay in contact with applications. Often methodological innovation and penetrating insight into substantive problems go hand in hand. The ultimate goal of statistical theory is the analysis of data, but for several decades attention has been focused on mathematical solutions to some rather limited intermediate goals. The emerging field of "data analysis" pays renewed attention to the ultimate goals. Recent developments have made major contributions to everyday statistical practice and have provided many new intermediate goals worthy of attention. This course will discuss several of these developments. The course will consist of a 30-minute introduction, six 75-minute lectures, and a 45-minute summary and open discussion. Ram Gnanadesikan will present the introduction and summary, Paul Tukey will speak about graphical techniques, Colin Mallows about robust methods, Joseph Kruskal about multilinear models, and Jon Kettenring will present a case study. For further information, see the synopses of the talks or browse through some of the carefully selected references in the April issue of the Notices on pages 291-292. Some acquaintance with classical statistics will be presumed, including basic probability theory and the ideas of estimation, hypothesis testing, regression analysis, analysis of variance, and correlation. The short course was recommended by the Society's Committee on Employment and Educational Policy, whose members are Lida K. Barrett (chairman), Irwin Kra, Robert W. McKelvey, Donald C. Rung, Robert J. Thompson, and Barnet M. Weinstock. The short course series is under the direction of the CEEP Short Course Subcommittee, whose members are Stefan A. Burr, Ronald L. Graham, Robert W. McKelvey, Cathleen S. Morawetz, Barbara L. Osofsky, and Philip D. Straffin, Jr. The short course is open to all who wish to participate upon payment of the registration fee. There are reduced fees for students and unemployed individuals. Please refer to the section entitled INFORMATION FOR PARTICIPANTS for details.

350 TIMETABLE The purpose of this timetable is to provide assistance to registrants in the selection of arrival and departure dates. The program, as outlined below, is based on information available at press time.

AMERICAN MATHEMATICAL SOCIETY SHORT COURSE SERIES

SATURDAY, August 21 STATISTICAL DATA ANALY81S

11:00 a.m. - 4:00p.m. REGISTRATION 2:00p.m. - 2:30p.m. Introduction and summary Ram Gnanadesikan 2:30p.m. - 3:45p.m. Graphical methods Paul A. Tukey 3:45 p.m. - 4:15 p.m. Break 4:15p.m. - 5:30p.m. Graphical methods Paul A. Tukey

SUNDAY, August 22

8:00 a.m. - 2:00 p.m. REGISTRATION 9:00a.m. - 10:15 p.m. Robust methods Colin L. Mallows 10:15 a.m. - 10:45 a.m. Break 10:45 a.m. - noon Robust methods Colin L. Mallows noon - 1:30 p.m. Lunch 1:30 p.m. - 2:45 p.m. Multilinear models Joseph B. Kruskal 2:45p.m. - 3:15 p.m. Break 3:15p.m. - 4:30p.m. A case study Jon R. Kettenring 4:30p.m. - 5:15 p.m. Summary and open discussion Ram Gnanadesikan and audience

JOINT MATHEMATICS MEETINGS

SUNDAY, August 22 American Mathematical Society Mathematical Association of America

9:00a.m. - 4:00p.m. BOARD OF GOVERNORS MEETING 1:00 p.m. - 5:00 p.m. MINICOURSE #1 Uses of computers in undergraduate mathematics instruction David A. Smith John L. Van Iwaarden 4:00p.m. - 8:00 p.m. REGISTRATION 4:00p.m. - 8:00 p.m. AMS BOOK SALE MAA BOOK SALE 5:00p.m. - 10:00 p.m. COUNCIL MEETING 7:00p.m. - 10:00 p.m. MINICOURSE #2 Introduction to microprocessors in mathematics instruction Klaus E. Eldridge Donald 0. Norris

MONDAY, August 23 AMS MAA

8:00a.m. - 4:30 p.m. REGISTRATION 8:00 a.m. - 4:30p.m. AMS BOOK SALE I MAA BOOK SALE 8:30 a.m. - 8:35 a.m. WELCOME ADDRESS 8:40a.m. - 9:40 a.m. INVITED ADDRESS Title to be announced John W. Milnor 8:40a.m. CONTRffiUTED PAPER SESSION The uses of computers in undergraduate mathematics instruction 9:50 a.m. - 10:50 a.m. INVITED ADDRESS On the theory of the Whittaker integral Harish-Chandra 9:50a.m. CONTRffiUTED PAPER SESSION Classroom notes

351 Godfried T. Toussaint, John E. Wetzel, and Hans J. The deadline for submission of abstracts for Zassenhaus. There will be a one-hour problem session. consideration for inclusion in these special sessions Computing theory, SAUL GORN, University of has expired. Pennsylvania. This session will be in two parts, and will take place on Monday and Tuesday. The first Contributed Papers part on Computability and complexity theory is being There will be sessions for contributed papers on coordinated by Ronald Book, University of California, Monday afternoon after 2:00 p.m., Tuesday morning Santa Barbara. Speakers in this session include Jean until 11:00 a.m., Wednesday afternoon, and Thursday Gallier, Timothy Long, Michael O'Donnell, Charles morning and afternoon. Abstracts should be prepared Rackoff, Arto Salomaa, Alan Selman, and Paul Young. on the standard AMS form available from the AMS The second part on Algorithms is being coordinated by office in Providence or in departments of mathematics, S. R. Kosaraju, Johns Hopkins University, and Allan and should be sent to the American Mathematical Borodin, University of Toronto. Speakers in this session Society, Post Office Box 6248, Providence, Rhode include Leslie Valiant, Tom Leighton, David Dobkin, Island 02940, so as to arrive by the abstract and Stephen Cook. deadline of June 7. Members are reminded that a History of mathematics, CHARLES V. JONES, charge of $12 is imposed for retyping abstracts that are University of Toronto; Monday and Tuesday. not in camera-ready form. Pade approximations and continued fractions, Late papers will not be accepted. ARNE MAGNUS, Colorado State University; Wed­ Audio-Visual Equipment nesday and Thursday. Richard Askey, George Baker, Rooms where special sessions and contributed paper Jr., Claude Brezinski, Marcel de Bruin, Albert Edrei, sessions will be held will be equipped with an overhead David Field, Walter Gautschi, Jacek Gilewicz, John projector, screen, and blackboard. Gill, William Gragg, Peter Graves-Morris, Lisa Jacob­ Presenters of ten- or twenty-minute papers are sen, William Jones, Jerome Lange, Arne Magnus, strongly urged to use the overhead projector rather Burnett Meyer, Walter Reid, Edward Saff, Wolfgang than the blackboard for their presentation in order Thron, Herman van Rossum, and Haakon Waadeland. to obtain maximum visibility by all members of the Ergodic theory, NATHANIEL F. G. MARTIN, audience of the material being presented. University of Virginia, Charlottesville; Wednesday and Thursday. M. Brin, R. Brooks, J. R. Choksi, A. Other AMS Sessions Del Junco, A. Fieldsteel, J. Feldman, Nathaniel A. At the invitation of the AMS Program Committee, Friedman, S. Kakutani, A. Katok, D. Lind, N. Markley, ETTORE F. INFANTE, Division Director of the K. Pedersen, A. Robinson, D. Rudolph, P. Sarnak, R. Mathematical and Computer Sciences Section of the Spatzier, L. Swanson, and R. Zimmer. National Science Foundation, will speak at 8:30 p.m. Nonlinear partial differential equations in on Wednesday, August 25, on Federal support for the physics and geometry, JILL P. MESIROV, Institute mathematical sciences: some simple facts on some for Defense Analyses and ROBERT L. BRYANT, difficult questions. Rice University; Wednesday and Thursday. Dennis DeTurck, Arthur M. Jaffe, Rick Klotz, V. Montcrief, Joint AMS/MAA Sessions Wei-Ming Ni, Tom Parker, John Pitts, Joel Spruck, The AMS and MAA are jointly sponsoring a series and Dean Yang. of one-hour addresses on topics in the history of Mathematics of complexity and noncausal think­ mathematics. The speakers and the titles of their talks ing, THOMAS L. SAATY, University of Pittsburgh; are: Tuesday and Wednesday. Joyce Alexander, Wes Ger­ CLIFFORD A. TRUESDELL III, Johns Hopkins rish, Hamid Gholamnezhad, Ken Mitchell, Luis G. University, The influence of elasticity on analysis. Vargas, and Ronald Yager. J. BARKLEY ROSSER, Mathematics Research Fixed point theory and applications, S. P. SINGH Center, University of Wisconsin, Madison, Mathe­ and SIEGFRIED THOMEIER, Memorial University matics and mathematicians in World War II of Newfoundland; Wednesday and Thursday. M. GEORGE W. WHITEHEAD, Massachusetts In­ Altman, Felix Browder, R. F. Brown, Ed Fadell, Gilles stitute of Technology, Homotopy theory: the first Fournier, M. Z. Iuq, Les Karlovitz, W. A. Kirk, M. twenty-five years. Martelli, S. A. Naimpally, W. V. Petryshyn, S. Reich, JEAN A. DIEUDONNE, Nice, France. The work B. E. Rhoades, Helga Schirmer, V. M. Sehgal, and of Bourbaki during the past thirty years. J.H.W. Whitfield. The joint session on the 1982 International Cong.-~ss Biiective proofs in generalized partition theory of Mathematicians has been canceled. and enumerative combinatorics, HERBERT S. Council Meeting WILF, University of Pennsylvania; Tuesday. Daniel at 5:00 p.m. on Cohen, Adriano Garsia, Jeffrey Remmel, Herbert S. The Council of the Society will meet Council Chamber Wilf, Basil Gordon, Janet Beissinger, Judy Dayhoff, Sunday, August 22, in the Governing Richard Stanley, Curtis Greene, Lawrence Harper, and of Simcoe Hall. Andrew Odlyzko. Business Meeting The session on the History of computing being The Business Meeting of the Society will take organized by HENRY S. TROPP has been canceled. place immediately following the Steele Prize Session

352 TIMETABLE

MONDAY, August 23 American Mathematical Society Mathematical Association of America

11:00 a.m. - noon INVITED ADDRESS HP spaces in one and several variables Sun-Yung Alice Chang 1:00 p.m. - 2:00 p.m. COLLOQUUJM LECTURE I Title to be announced Morris W. Hirsch 1:00 p.m. - 5:00 p.m. EXHffiiTS 2:10 p.m. - 3:10 p.m. INVITED ADDRESS IThe last thirty years of harmonic ana lysis-a personal view Guido L. Weiss 2:10 p.m. - 3:10 p.m. Session on Validation of the MAA Placement Examinations William L. Drezdzon Anita Sikes 2:10 p.m. - 5:30 p.m. Special Sessions Sessions for Contributed Papers 3:20 p.m. - 5:30 p.m. AMS/MAA JOINT SESSION ON THE HISTORY OF MATHEMATICS I 3:20p.m. Mathematics and mathematicians in World War II J. Barkley Rosser 4:30p.m. Homotopy theory: the first twenty-five years George W. Whitehead 6:00p.m. BEER PARTY 7:00 p.m. - 8:00 p.m. Open Meeting on retraining mathematicians to teach computer science Ed Dubinsky 7:00 p.m. - 8:30 p.m. MAA/CUPM Recommendations for the training of teachers Donald w. Bushaw (presider) John A. Dossey Marjorie M. Enneking Bruce E. Meserve

TUESDAY, August 24 AMS Other Organizations

8:00 a.m. - 10:50 a. m, Special Sessions Sessions for Contributed Papers 8:30 a.m. - 4:30 p.m. REGISTRATION 8:30 a.m. - 4:30 p.m. AMS BOOK SALE IMAA BOOK SALE 8:30 a.m. - 4:30p.m. EXHIBITS 8:40 a.m. - 9:40 a.m. MAA - INVITED ADDRESS Greedy algorithms Alan J. Hoffman 8:40 a.m. - 9:40 a. m, MAA- INVITED ADDRESS The pending death of the mathematics major Clarence F. Stephens 9:50 a.m. - 10:50 a.m. MAA- INVITED ADDRESS Some mathematical morsels Ross A. Honsberger 11:00 a.m. - noon MAA - THE EARLE RAYMOND HEDRICK LECTURES: Lecture I Topological, combinatorial, and geometric fractals: Elementary fractals James w. Cannon 1:00 p.m. - 2:00 p.m. COLLOQUUJM LECTURE II Title to be announced Morris W. Hirsch 2:10 p.m. - 3:10 p.m. MAA - INVITED ADDRESS Recent results in noncommutative Galois theory M. Susan Montgomery 2:10 p.m. - 3:10 p.m. MAA- INVITED ADDRESS Cognition and the classroom Warren Page 2:10 p.m. - 3:10 p.m. Sessions for Contributed Papers

353 on Wednesday, August 25, in the Medical Sciences Auditorium. The secretary notes the following resolution of the Council: Each person who attends a Business Meeting of the Society shall be willing and able to identify himself as a member of the Society. In further explanation, it is noted that each person who is to vote at a meeting is thereby identifying himself as and claiming to be a member of the American Mathematical Society. For additional information on the Business Meeting, please refer to the announcement titled Committee on the Agenda for Business Meetings.

ACTMTIES OF OTHER ORGANIZATIONS The Mathematical Association of America (MAA) will hold its 62nd summer meeting August 23-26 (Monday- Thursday). The Business Meeting of the MAA will take place at 4:30 p.m. on Tuesday, August 24, at which the Carl B. Allendoerfer, Lester R. Ford, and George P6lya awards will be presented. A series of three Earle Raymond Hedrick Lectures James W. Cannon, MAA Hedrick Lecturer will be given by JAMES W. CANNON of the Univer­ The undergraduate mathematics curriculum; sity of Wisconsin, Madison. The title of this series Special concerns: remediation, articulation, and of three lectures is Topological, combinatorial, and math anxiety; geometric fractals. The topics of the three lectures are Elementary fractals, Fractals in topological The use of computers in undergraduate mathe­ manifolds, and Hyperbolic groups and fractals at matics instruction; infinity. Cla.ssroom notes. The MAA will schedule sessions for contributed Presentations will normally be limited to ten minutes, papers. Papers will be accepted on various topics in although selected contributors may be given up to collegiate mathematics for presentation in contributed twenty minutes. Individuals wishing to submit papers paper sessions. The topics selected for this meeting for any of these sessions should send the following are: information to the MAA's Washington Office at 1529 Eighteenth Street N.W., Washington, D.C. 20036, Committee on the Agenda for Business Meetings before June 7, 1982. 1. Title; The Society has a Committee on the Agenda for Business Meetings. The purpose is to make Business 2. Intended session; Meetings orderly and effective. The committee does 3. A one-paragraph abstract (for distribution at the not have legal or administrative power. It is intended meeting); that the committee consider what may be called "quasi­ 4. A one-page outline of the presentation; political" motions. The committee has several possible 5. A list of special equipment required for the pre­ courses of action on a proposed motion, including but sentation (e.g., computer, movie projector, videotape not restricted to player). (a) doing nothing; This information will be sent to (b) conferring with supporters and opponents to arrive the organizer of at a mutually accepted amended version to be circulated the designated session who will arrange for refereeing. in advance of the meeting; Selection of papers will be announced by July 15, 1982. (c) recommending and planning a format for debate The MAA will sponsor two minicourses dealing with to suggest to a Business Meeting; applications of computing in mathematics instruction. (d) recommending referral to a committee; One is for novices and the other for users. The course (e) recommending debate followed by referral to a for users will meet from 1:00 p.m. to 5:00 p.m. on committee. Sunday, August 22, and the course for novices will There is no mechanism that requires automatic submission of a motion to the committee. However, if a meet from 7:00 p.m. to 10:00 p.m. on Sunday and motion has not been submitted through the committee, Tuesday evenings. it may be thought reasonable by a Business Meeting to The minicourse for novices titled Introduction to refer it rather than to act on it without benefit of the microcomputers in mathematics instruction will be advice of the committee. conducted by KLAUS E. ELDRIDGE and DONALD The committee consists of Everett Pitcher (chairman), Marian B. Pour-El, David A. Sanchez, and Guido L. 0. NORRIS of Ohio University. This is a repeat of the Weiss. very popular course offered in Pittsburgh (August 1981) In order that a motion for the Business Meeting of and Cincinnati (January 1982). The course consists of August 25, 1982, receive the service offered by the a brief introduction to BASIC followed by a discussion committee in the most effective manner, it should be in of how computers can be used in a variety of courses. the hands of the secretary by July 26, 1982. The discussion will include traditional examples from Everett Pitcher, Secretary calculus and differential equations, as well as simulation

354 TIMETABLE

TUESDAY, August 24 American Mathematical Society Other Organizations

3:20 p.m. - 4:20 p.m. INVITED ADDRESS Constructive aspects of the theory of the Pisot and Salem numbers David w. Boyd 3:20 p.m. MAA - CONTRIBUTED PAPER SESSION (Tentative) 4:30 p.m. - 5:30 p.m. MAA - BUSINESS MEETING 7:00 p.m. - 10:00 p.m. Pi Mu Epsilon -RECEPTION 7:00 p.m. - 10:00 p.m. MAA - MINICOURSE #2 Introduction to microprocessors in mathematics instruction Klaus E. Eldridge Donald 0. Norris

WEDNESDAY, August 25 AMS Other Organizations

7:45 a.m. - 8:30 a.m. Association for Women in Mathematics Breakfast and Membership Meeting 8:30 a.m. - 4:30 p.m. REGISTRATION 8:30 a.m. - 4:30 p.m. AMS BOOK SALE I MAA BOOK SALE 8:30 a.m. - 4:30 p.m. EXHIBITS 8:40 a.m. - 9:40 a.m. INVITED ADDRESS Algebras, their representations and the discrete Fourier transform Shmuel Winograd 8:40 a.m. MAA - CONTRIBUTED PAPER SESSION Undergraduate mathematics curriculum 8:40 a.m. MAA - CONTRIBUTED PAPER SESSION Special concerns: remediation, articula­ tion, and math anxiety 9:00 a.m. - 11:30 a.m. liME - CONTRIBUTED PAPER SESSION 9:50 a.m. - 10:50 a.m. INVITED ADDRESS Map colorings and differential equations W. T. Tutte 9:50 a.m. - 10:50 a.m. AWM- PANEL DISCUSSION 11:00 a.m. - noon MAA - THE EARLE RAYMOND HEDRICK LECTURES: Lecture II Topological, combinatorial, and geometric fractals: Fractals in topological manifolds James W. Cannon noon - 1:00 p.m. liME - COUNCIL LUNCHEON 1:00 p.m. - 2:00p.m. COLLOQUIUM LECTURE ill Title to be announced Morris W. Hirsch 1:00 p.m. - 2:00 p.m. MAA - INVITED ADDRESS Calculus examination and grading by computer Edward L. Spitznagel 1:00 p.m. - 4:20 p.m. Special Sessions Sessions for Contributed Papers 2:10 p.m. - 4:20 p.m. AMS/MAA JOINT SESSION ON THE HISTORY OF MATHEMATICS II 2:10 p.m. The influence of elasticity on analysis Clifford A. Truesdell III 3;20 p.m. The work of Bourbaki during the past thirty years Jean A. Dieudonne 4:30 p.m. - 6:00 p.m. STEELE PRIZE SESSION AND BUSINESS MEETING 5:30 p.m. - 8:30 p.m. MAA- BANQUET FOR 25-YEAR MEMBERS 6:30 p.m. - 8:15 p.m. liME- BANQUET 7:00 p.m. - 10:00 p.m. MAA - SECTION OFFICERS MEETING 8:30 p.m. - 9:30 p.m. liME- J. SUTHERLAND FRAME LECTURE The changing face of mathematics Israel Halperin 8:30 p.m. - 9:30 p.m. Federal support for the mathematical sciences: some simple facts on some difficult questions Ettore F. Infante 355 models in liberal arts courses or mathematics education Exhibits courses. It is planned that microcomputers will be The book and educational media exhibits will be available for use by the participants. open from 1:00 p.m. to 5:00 p.m. on Monday, August The more advanced workshop titled Uses of com­ 23, and from 8:30 a.m. to 4:30 p.m. on Tuesday puters in undergraduate mathematics instruction and Wednesday, August 24-25. All participants are will demonstrate uses of existing microcomputer encouraged to visit the exhibits during the meeting. in full courses in software to enhance instruction Second-hand Book and Journal Exchange the undergraduate mathematics curriculum. Software for use in multivariable calculus, differential equations, At the AMS Book Sale in the lobby of Sidney Smith and topics at the lower division college level will Hall, notebooks will be available with lists of books for sale or being sought. There will be demonstrated. Presentations/demonstrations will on mathematics for sale and books be given by mathematicians who have developed the be separate notebooks of books and addresses of the owners (or software and had extensive experience with its use wanted with names seekers). The details of the transactions themselves in their courses. It is planned for participants are to be arranged by the participants, and the AMS to have the opportunity to work with the software will not accept responsibility for settling disputes if themselves on microcomputers. Speakers will include arrangements go awry. DAVID A. SMITH of Duke University, Series Editor cost in Mathematics for CONDUIT; and JOHN L. VAN It is necessary to charge a small fee to cover the person participating IWAARDEN, Hope College. of preparing the notebooks. Each who will not be at the meeting is asked to pay $2 for The minicourses are open only to persons who have the first page, and $1 for each additional page (one registered for the Joint Mathematics Meetings and paid side is one page). Those who will attend the meeting the registration fee. The minicourses have separate may bring their lists with them and insert them into registration fees of $15 each, and are limited to 30 the notebooks at no charge. Books for sale must be participants each. listed on separate pages from books wanted (as many The usual MAA film program will be replaced by of either per page as one wishes), and the lists made continuous showings. MAA members are invited to up on 8.5 inch by 11 inch pages. or videotapes which submit for showing in Toronto films Please include the information below: they have created for classroom or other use. Contact Books Otl'ered: Name, address, telephone, will Edward J. Barbeau, Jr., Department of Mathematics, or will not be at the meeting. Author, title, University of Toronto, Toronto M5S 1A1, Ontario, publisher, year of publication, condition of book Canada. (for example, slightly used, annotated lightly or The MAA is planning a banquet for individuals who heavily, like new), price or books wanted in trade. have been members of the Association for twenty-five years or more. The banquet will take place Wednesday Books Wanted: Name, address, telephone, will or evening, August 25. Details will appear in the August will not be at the meeting. Author, title, publisher, issue. edition, price one is willing to pay. Pi Mu Epsilon (IIME) will hold its annual meeting Lists may be sent to the Promotion Department of on Wednesday and Thursday, August 25 and 26. The the Society until July 19, or may be brought to the J. Sutherland Frame Lecture will be given at 8:30 meeting. If brought to the meeting, two copies of each p.m. on Wednesday by ISRAEL HAILPERN of the page should be supplied so that duplicate notebooks University of Toronto. Professor Hailpern will speak can be maintained. on The changing face of mathematics. Please send your lists to: Promotion Department, Rhode Island The Association for Women in Mathematics AMS, Post Office Box 6248, Providence, payable to the AMS in U.S. {AWM) will hold a panel discussion on Women 02940. Make cheeks call Phoebe Murdock, mathematicians in Canada at 9:50 a.m. on Wednes­ funds. If you have questions, 401-272-9500, extension 237. day, August 25. The AWM membership meeting will take place in conjunction with a breakfast at 7:45a.m. Summer List of Applicants on Wednesday. At the direction of the AMS-MAA-SIAM Committee on Employment Opportunities, which is charged with OTHER EVENTS OF INTEREST operation of the Employment Register and with Book Sales the publication Employment Information in the Books published by the AMS and the MAA will Mathematical Sciences, the Society will publish be sold for cash prices somewhat below the usual a Summer List of mathematical scientists seeking prices when these same books are sold by mail. employment, for distribution at the Toronto meeting These discounts will be available only to registered in August 1982. participants wearing the official meeting badge. VISA Copies of the 1982 summer list will be available at and MASTERCARD credit cards will be accepted the Transparencies section of the registration desk for for book sale purchases at the meeting. The book $2. Following the meeting, they may be purchased sales will be open the same days and hours as the from the AMS Office in Providence for $3. This list Joint Mathematics Meetings registration desk, and are should prove useful to employers who have last minute located in the meeting registration area. openings in the latter part of the summer or in the fall.

356 TIMETABLE

THURSDAY, August 26 American Mathematical Society Other Organizations

8:00 a.m. - 9:00 a.m. liME- DUTCH TREAT BREAKFAST 8:00 a.m. - noon Special Sessions Sessions for Contributed Papers 8:30 a.m. - 1:30 p.m. ASSISTANCE & INFORMATION DESK 8:40 a.m. - 9:40 a.m. MAA - INVITED ADDRESS Numerical solution of Navier-Stokes problems by the dual variable method Charles A. Hall 8:40 a.m. - 10:10 a.m. MAA- PANEL DISCUSSION Problems on academic computing centers in four-year colleges Speakers to be announced 9:10 a.m. - noon liME - CONTRIBUTED PAPER SESSION 9:50 a.m. - 10:50 a.m. MAA- INVITED ADDRESS The geometry of some flows in 3-space John M. Franks 11:00 a.m. - noon MAA- THE EARLE RAYMOND HEDRICK LECTURES: Lecture III Topological, combinatorial, and geometric fractals: Hyperbolic groups and fractals at infinity James W. Cannon 1:00 p.m. - 2:00 p.m. COLLOQUIUM LECTURE IV Title to be announced Morris W. Hirsch 1:00 p.m. - 2:00 p.m. MAA - INVITED ADDRESS Some new proofs of some old theorems Dorothy Maharam Stone 2:10 p.m. - 3:10 p.m. MAA - INVITED ADDRESS The fruitful analogy: algebraic number theory, algebraic geometry, and topology StephenS. Shatz 2:10 p.m. - 3:10 p.m. Sessions for Contributed Papers 3:20 p.m. - 4:20 p.m. INVITED ADDRESS Title to be announced Brent Pendleton Smith 3:30 p.m. - 5:00 p.m. liME - CONTRIBUTED PAPER SESSION 4:30 p.m. - 5:30 p.m. INVITED ADDRESS Recent developments in statistical mechanics Joel L. Lebowitz 1

357 The applicant preregistration resume at the back residence on August 19. Rates for some residence of this issue of the Notices is supplemented by a halls include breakfast; others do not. Rooms in St. coded strip summarizing the information contained in Michael's College may not be occupied until August 21; it. Please be sure to fill in the summary strip in therefore, participants in the AMS Short Course addition to completing the resume form itself, which and others are advised to ehoose :from among the will be posted at the meeting. The strip provides an other residence halls listed below if they plan to abbreviated version of the information on the form arrive on August 20. All participants must be checked and is used to prepare a computer-printed list of out of the residence halls in St. Michael's College, preregistered applicants called the Summer List of Trinity College, New College, Scarborough College, Applicants. and Whitney, Devonshire and Sir Daniel Wilson Halls Great care should be taken in preparing the coded by noon on Friday, August 27. Participants residing strip as well as the resume form in order to assure that in Knox College and in residence halls in Victoria the listings are readable. Please study the instructions University may check out a day later at noon on carefully before filling out the form. August 28. Check-out time on other days is also The deadline for receipt of applicant forms is noon, and anyone failing to check out by this time July 9, 1982. will be charged an additional night's lodging by the are not included in room The applicant preregistration resume form and the university. Breakfasts or in rates charged preregistration form for the Joint Meetings will be rates at Scarborough College, in Whitney Hall or reprinted in the May 1982 issue of the publication for children occupying mattresses Employment Information in the Mathematical cots in Victoria University (Margaret Addison Hall). Sciences. Children's meals may be purchased a Ia carte in the cafeterias. (See section on Food Services.) Students Instead of an Employment Register at the Summer may obtain accommodations in Trinity College at a Meeting in Toronto, there will be an opportunity for reduced rate. Facilities for students at Knox College at posting of both applicant resume forms and employers' a special rate are limited to one large room containing announcements of open positions in or near the main 7 single beds. (See Types of Aeeommodations on meeting registration area. There will be no special the facing page.) room set aside for interviews. No provisions will be made by the Society for interviews: arrangements will There are three types of accommodations available of Toronto: air­ be the responsibility of each employer and applicant. for participants at the University and Messages may be left in the message box located in the conditioned rooms, non-air-conditioned rooms, to registration area. family units at Scarborough College, a half-hour's drive by auto, or one- to one-and-a-half Special applicant and employer forms will be avail­ one hour's ride on public transportation at the height of able at the Transparencies section of the registra­ hour's rush hours (7:00a.m. to 9:30a.m. and 3:30p.m. to tion desk both for applicants to post resumes and the for employers to post forms announcing positions. 6:30p.m.). Employers who do not plan to attend, but who wish to Scarborough College is located about 17 miles from display literature only, may do so at no charge. This the University of Toronto in a rural area just south of material must, however, be received in the Providence route 401. There is free parking for participants near office no later than July 9, 1982. Information cannot the town house units on campus. There are eleven be taken over the telephone, either in Providence after units; each unit is fully equipped for housekeeping. July 9, or at the meeting. There is no maid service provided. The town houses 4 or 6 single beds, or 2 singles and 2 doubles Applicants who submit an applicant form, but do contain occupants. Parents may bring cribs for not plan to attend the meeting will be listed on the for a total of 6 cribs may also be rented. (See section printed list only. There is no provision made for infants; however, Bed linen is provided, as are towels, posting resumes for participants who do not attend the on Crib Rental.) those participants paying a meeting. face cloths, and soap for daily rate; however, towels, face eloths and soap INFORMATION FOR PARTICIPANTS are not ineluded in the weekly rates. (See Types of Aecommodations.) It may also be advisable to bring University Housing coat hangers. Please refer to the map of the campus included in Scarborough College is northeast of Toronto and this meeting announcement for location of the following can be reached from route 401 east or west by taking residences: Wetmore, Wilson, Whitney, Devonshire, Sir exit 61. Go south on Morningside Avenue and turn Daniel Wilson, and Margaret Addison Halls, as well as left on Military Trail. The campus is located south those in Knox, Trinity and St. Michael's Colleges. of Ellesmere Road on right. For those arriving from Participants desiring confirmed reservations for on­ the U. S. either from Buffalo or Niagara Falls, take campus housing must preregister prior to the July 9, the Queen Elizabeth Way ( QEW). Stay on the QEW 1982 deadline. Rooms may be available for those who through Toronto to Don Valley Parkway to route 401. do not preregister, but this eannot be guaranteed. Proceed east to exit 61 and go south on Morningside No university residence halls may be occupied prior Avenue as stated above. to August 20, with the exception of Scarborough The famous Metropolitan Toronto Zoo is located College, where families or groups may take up within a bus ride of the Scarborough campus, as is the

358 Types of Accommodations Family Town House Units: (not air-conditioned - no deposit required; available nights of 8/19 through 8/26 (check-out must be 8/27]; rates do not include NOTE: All rates include tax. breakfast). NOTE: For accommodations marked with an asterisk, weekly rate does not include towels, Air-conditioned Rooms: (available 8/20 through 8/26) face cloths, or soap. Males: Wetmore - (includes breakfast for occupancy on Scarborough College - 11 units available nights of 8/22 through 8/26) (#32 on map) 2 units/ 4 singles each $16.05 per person per night or $21.50 Single/per person per night $176.55 weekly * $15.50 Double/per person per night 2 units/6 singles each $16.05 per person per night or Wetmore - (no breakfast for occupancy on nights of $214.00 weekly * 8/20 and 8/21) 7 units/2 singles and 2 doubles $20.00 Single/ per person per night $16.05/single/per person per night $13.50 Double/per person per night $13.91/doublefperson per night Females: $214.00 weekly * Wilson - (includes breakfast for occupancy on nights $10.17 per child under 12 per night if occupying a bed. of 8/22 through 8/26) (#32a on map) $21.50 Single/per person per night Wilson - (no breakfast for occupancy on nights of Cheek-in Times and Locations 8/20 and 8/21) $20.00 Single/per person per night of Residence Halls and Scarborough College Non-air-conditioned Rooms: (available 8/20 through 8/26 or 8/27) Whitney Hall, St. George Street and Hoskins Avenue Males: (#13 on map) Devonshire - (includes breakfast for occupancy on 11:00 a.m. - 11:00 p.m. nights of 8/22 through 8/26) (#12 on map) Porter on duty 24 hours $20.50 Single/per person per night Wilson Hall, New College, Willcocks Street and Huron Devonshire - (no breakfast for occupancy on nights Street (#32a on map) of 8/20 and 8/21) 11:00 a.m. - 11:00 p.m. $19.00 Single/per person per night Porter on duty 24 hours St. Hilda's College, Trinity College - (lloes not Sir Daniel Wilson, St. George Street (next to Whitney) include breakfast) (#608 on map) (#29 on map) $18.73 Single/per person per night 11:00 a.m. - 11:00 p.m. $12.31 Double/per person per night Porter on duty 24 hours $16.59 Student single nightly rate Wetmore Hall, Classic Avenue and Huron Street (#32 St. Michael's College- (available 8/21 through 8/26; on map) does not include breakfast) (#401-432 on map) 11:00 a.m. - 11:00 p.m. $18.73 Single/per person per night After 11:00 p.m., go to Wilson Hall for key. $12.31 Double/per person per night Devonshire Hall, Devonshire Place and Hoskin Avenue Knox College - (available 8/20 through 8/27; does (#12 on map) not include breakfast) (#575 on map) 11:00 a.m. - 11:00 p.m. $16.05 Single/per person per night After 11:00 p.m., go to Whitney Hall for key. $12.84 Student single nightly rate St. Hilda's College, Trinity College, 44 Devonshire Place Co-ed: Whitney ( #13 on map) and Sir Daniel Wilson ( #608 on map) Halls (#29 on map) are available nights of 8/20 through 9:00 a.m. - 5:00 p.m. 8/26; rates include breakfast for occupancy on nights of After 5:00p.m., porter is on duty 8/22 through 8/26. Margaret Addison Hall at Victoria Knox College, St. George Street and Willcocks Street University (#508 on map) available nights of 8/20 (#575 on map) through 8/27; rates include breakfast for occupancy on 9:00 a.m. - 4:00 p.m. nights of 8/20 through 8/26. $20.50 Single/per person per night Check-in at Bursar's Office, East Academic Wing, 59 $14.50 Double/per person per night George Street. After 4:00 p.m., pick up key from don on duty (aka resident). The following rates do not include breakfast in Whitney and Sir Daniel Wilson Halls for nights of 8/20 St. Michael's College, 81 St. Mary Street and Bay Street and 8/21: (#401-432 on map) $19.00 Single/per person per day 8:00 a.m. - 8:00 p.m. $12.50 Double/per person per day Check-in at Porter's Office, lower Elmsley Hall at Mail Room. After 8:00 p.m. go to switchboard at 50 Children's Rates: (applicable to rooms in Whitney Hall St. Joseph Street located in Clover Hill Wing east of and Victoria University only) church. $7.49 - Daily mattress charge payable on arrival for children ages 10-14 in Whitney Hall in room Margaret Addison Hall, Victoria University - Charles with parents. Children's meals are not included in Street West at University Avenue (#508 on map) mattress charge but may be purchased a Ia carte. 24 hour check-in at desk in Child of age 15 or over must occupy a bed and pay Margaret Addison Hall adult single rate which includes breakfast. Searborough College (Block A), Military Trail, West $5.35 - Daily cot charge for children ages 4 to Hill, Ontario (south of route 401) 12 in Victoria University (Margaret Addison Hall); Check-in will be handled on an individual basis if breakfast is not included in cot charge. Child of 12 arrival time is given on housing form, or go to residence or over must occupy bed and pay adult single rate trailer next to Block A, which is open on weekdays from which includes breakfast. 9:00 a.m. to 5:00 p.m.

359 University of Toronto

Numerical directory and 81 St. George Grad. Residence [3A] location guide 83 254-56 McCaul St. [3E] 84 91 St. George St. [3Bl [3A] I University College [3C] 88 Industrial Relations Centre 2 Hart House [4CJ 89 Admissions Office [3A] St. [6EJ 3 Sigmund Samuel Library Bldg. [40] 90 88 College 4 McMurrich Building [40] 91 Studio Theatre [2BJ 5 Medical Sciences Building [4D] 95 43 Queen's Park Cres. E. [SC] 6 John P. Robarts Research Lib. [2Bl 96 47 Queen's Park Cres. E. [SCJ 6a Library Science Building [2Bl 97 39 Queen's Park Cres. E. [SC] 6b Thomas Fisher Rare Book Lib. [2B] 97a Culture & Technology Centre 7 Mining Building [3E] [SCJ 8 Wallberg Building [3E] 99 121 St. Joseph St. [SC] Sa Metallurgy Building [3E] I 03 Sch. of Continuing Studies [2AJ 9 Sandford Fleming Labs. [3EJ I 04 Institute for Policy Analysis [2AJ 10 Simcoe Hall [3D] It 0 Media Centre [3A] I Oa Convocation Hall [3D] Itt 246 Bloor St. West [3A] II Botany Building [4E] 113 651 SpadinaAve. (Vladimir 12 Devonshire House [3Bl House)[! BJ 13 Whitney Hall [3C] ItS 97St. GeorgeSt.[3Bl 14 Faculty of Education [2Al 117 W. B. MacMurray Field House IS Lillian Massey Building [SA] liB] 16 Banting Institute [SEJ 120 Old Observatory (SAC)[4Cl 19 U. ofT. Press/Bookroom [3D] 125 703 SpadinaAve. [tAl 20 Rosebrugh Building [4El 132 lnnisCollegel2B] 21 Engineering Annex [3EJ 138 370 Huron St. 12B] 22 Mechanical Engineering Bldg. [3E] 141 Margaret Fletcher Day Care 23 Women's Union [3CJ Centre[3A] 24 Haultain Building [4E] 170 167 College St. l3El 25 FitzGerald Building [4EJ 171 455 SpadinaAve. [IE] 26 Cumberland House [3E] 172 MacDonald-Mowat House [3D] 27 Forestry Building [3D] 174 203 College St. [3El 28 Architecture Building [2EJ 178 342-44BioorSt. W. II A] of Educ. Registrar [2A] 29 Sir Daniel Wilson Residence [3C] ISO Faculty inEduc.[3Al 30 Varsity Stadium [3Al 181 Ont.lnst. for Studies 30a Varsity Arena [4A] 401-432 St. Michael's College 31 16HartHouseCircle[4CJ 501-524 Victoria University 32 New College (Wetmore Hall) [2CJ 550 Toronto Sch. of Theology [6A] C) 32a New College (Wilson Hall)[ I 575 Knox College [3D] 33 Sidney Smith Hall [2C] 600-608 Trinity College 34 Massey College [3B] 675 Wycliffe College [4C] 35 Royal Conservatory of Music [ 4AJ Teaching Hospitals (below) 36 Nursing Building [2Dl 961 Toronto Western Hospital 37 David Dunlap Observatory (below) Princess Margaret Hospital 3Ba Woodsworth College [3Al 962 Hospital 38b Drill Hall [3A] 963 Wellesley 39 49 St. George st. [3D] 964 St. Michael's Hospital 40 Flavelle House [ 4BJ 965 Hospital for Sick Children 43 School of Graduate Studies [3D] 966 Sunnybrook Medical Centre 45 Infirmary [20] 967 Mt. Sinai Hospital 46 44 St. George St. [2D] 968 Women's College Hospital 49 Aerospace Building (below) 969 Toronto General Hospital 50 Falconer Hall [4B] 970 Clarke Institute of Psychiatry 51 Edward Johnson Building [4Bl 971 Addiction Research Clinical lnst. 52 Best Institute [SE] 972 Lyndhurst Hospital 53 Institute of Child Study (below) 54 t Spadina Crescent [I D] 56 Graduate Students' Union [2D] 57 Textbook Store [2DJ 56 Health Service [2Dl Alphabetical directory 59 Bancroft Hall [2Dl 61 South Borden Building [20] Addison (Marg.) Hall (Victoria) 508 Building [2DJ 61 a North Borden Brennan Hall (St. Michael's) 411 63 631 SpadinaAve. [tC] Devonshire House 12 65 Dentistry Building (below) (Marg.} Day Care Ctr. 141 67 215 Huron Street [2El Fletcher 68 Benson Building [2CJ Knox College 575 68a Athletic Complex Medical Sciences lnst. 5 (proposed)[ I C) St. Michael's College 400's 69 Alumni House [I Dl Sidney Smith Hall 33 70 Galbraith Building [3E] Simcoe Hall 10 71 92 College St. [6El Trinity College 600 72 Ramsay Wright Zoological Labs. Victoria University 501 [2Cl Wetmore Hall (New College} 32 73 Lash Miller Chemical Labs. [2D] Whitney Hall 13 74 581 SpadinaAve. [I DJ Wilson Hall (New College} 32a 75 Faculty Club [2D] Wilson (Sir Daniel) Residence 29 76 Information Services Dept. [I DJ 77 Sussex Court [2Bl 78 McLennan Physical Labs.[2D] @ = Park Plaza Hotel Burton Tower 79 Hughes Pharmacy Bldg [20] @ = Sul:)way station

360 St. George Campus

361 Ontario Science Center. Please note that the exact Those preregistering and requesting university hous­ fare of 75 cents is required for bus and subway fare. ing before the July 9 deadline must include a $15 The university and the respective residence halls are room deposit (nonrefundable after July 15) for all not responsible for articles left behind after check-out. residences except Scarborough College. (Details are The university regrets that it is unable to provide given below.) The deposit must be submitted at the porters to assist participants with their luggage. same time as the preregistration/housing form. Forms received without the deposit will be returned. In each residence hall (with the exception of Knox College whieh does not supply towels, face cloths NOTE: Should it be necessary for participants to or .soap), two sheets, a pillow, one pillowcase and cancel their preregistration and housing, they should blanket are provided for each bed occupied, as well as be aware that the housing deposits can be refunded a set of towels, soap and drinking glass. No face cloths only up to July 15. Those wishing to cancel are supplied. It is also suggested that the participant should write or telephone the Mathematics Meetings bring clothes hangers in the event there are none in the Housing Bureau {401-272-9500, ext. 239) before this deadline. No refunds of housing deposits can room assigned. Housekeeping will clean rooms daily, be made after these monies have been turned over but will not make the beds. Rooms are equipped with to the university. As has been the custom, 50 percent desks, chairs, dressers, and lamps, and have either one of the preregistration fee(s) will be refunded if the or two single beds. There are elevators serving each Mathematics Meetings Housing Bureau is notified of floor in the high-rise dormitories. All residence halls the cancellation prior to the deadline date of August have smoke alarms. 20. .Any changes in arrival and departure dates No pets are allowed in the residence halls. Alcoholic must be made with the Mathematics Meetings beverages are not prohibited; however, residents are Housing Bureau until August 20 (401-272-9500, required to exercise moderation. ext 239). After 4:00 p.m. on August 22, please call There will be no telephone service in any of the Mary A. Coeeoli at the Telephone Message Center residence hall rooms, but there are pay telephones and in Toronto. campus telephones uvailable in the public lobby areas All those who request university housing in advance and about the campus. will receive a written confirmation from the Mathe­ There are coin-operated vending machines (with the matics Meetings Housing Bureau. This confirmation exception of Trinity College) and laundromats in each should be presented to the university clerk at time of hall; however, participants are advised to bring their check-in. The remainder due for the duration of each own detergent. Irons and ironing boards are available participant's stay as originally requested on his or in some of the residence halls. her preregistration/housing form is due in full at Temporary parking outside residence hall check-in time of check-in. Cash, personal checks and travelers' points will be allowed for 10-15 minutes. See the checks in Canadian funds will be accepted. U.S. section on Parking for further information. funds will be taken at par. Credit cards will not be No more than two adults may oeeupy a room at accepted. Checks must be made payable to either the the same time. Only one child may occupy the same University of Toronto or to the college or university to room with its parents. Rules regarding children vary which the participant has been assigned. in the three residences set aside for families: Victoria Refundable key deposits of $3 to $5 are mandatory University, Whitney Hall, and Scarborough College. at check-in; however, this deposit will be forfeited if a Please refer to the section below for information on key is lost. All keys open doors to rooms, and, in some accommodations for families. No cribs for children are residences, will open outer doors also. available from the university. (See the section on Crib Individuals who fail to preregister and obtain Rental.) confirmed university accommodations must go to Room rates for the nights of August 22 through the meeting registration desk (Housing Seetion) 26 will include breakfast in the cafeteria in Wilson in the lobby of Sidney Smith Hall ( #33 on map) Hall, New College, for those participants residing in on St. George Street in order to receive a room Wetmore, Wilson, Whitney, Devonshire and Sir Daniel assignment, if rooms are still available. It is Wilson Halls. Rates for occupancy in these halls for suggested that these individuals bring a set of towels, face cloths, soap, and clothes hangers in the event they the nights of August 20 and 21 are prorated since are assigned to Knox College. Since the number of that cafeteria is closed on weekends and breakfast not rooms being held for latecomers is limited, everyone is available. Room rates for adult participants residing in urged to preregister and obtain housing in advance in Margaret Addison Hall in Victoria University include order to avoid disappointment. Again, no guarantee breakfast in Brennan Hall across the street ( #411 on can be made that the university will be able to make map). It is expected that this cafeteria will be open rooms available for last-minute arrivals. on weekends; however, should there be a change in this plan, reimbursement will be made by Victoria Food Serviees University for the amount charged for the breakfast(s). Please note that mattress and cot rates for children Breakfast for those participants staying in Wetmore, residing in either Whitney or Margaret Addison Halls Wilson, Whitney, Sir Daniel Wilson, and Devonshire do not include breakfast as indicated in the following Halls will be served in the cafeteria located in Wilson section. Hall, New College, beginning on Monday, August 23,

362 and ending on Friday, August 27. No meals will be Park Piasa Hotel (A on campus map) served in the Wilson Hall, New College, cafeteria on 4 Avenue Road, Toronto, Ontario (M5R 2E8) weekends. Participants staying in Margaret Addison Telephone: (416) 924-5471 Hall, Victoria University, will use the cafeteria in Single: $85 Double: $95 Brennan Hall (#411 on campus map). It is anticipated Extra person in room: $10 (15 years) that this cafeteria will be open on the weekend prior to Code: AC, TV (in-home movies), CL, RT the Joint Meetings. Participants staying in residence The deadline for reservations is July 26. halls on campus whose room rates include breakfast Royal York (20-30 minute walk) will be issued vouchers at check-in as proof of payment. 100 Front Street West, Toronto, Ontario (M5J 1E3) Children's room rates (if not occupying a bed) do not Telephone: (416) 368-2511 include breakfast. Single: $76 Twin: $91 It is likely that those attending the AMS Short Extra person in room: $16 (15 years) Course on August 21-22 or still on campus on Saturday, Code: AC, TV, CL, RT August 28, must eat off-campus. The University of The deadline for reservations is July 28. Toronto campus is surrounded by many restaurants Carlton Inn (20-30 minute walk) within easy walking distance and in the moderate price 30 Carlton Street, Toronto, Ontario (M5B 2E9) range. Telephone: (416) 977-6655 Breakfast will be served in the cafeterias from 7:15 Single: $39 Twin or Double $46 a.m. to 9:00 a.m.; lunch from noon to 1:30 p.m.; Extra person in room: $7 (13 years) and dinner from 5:00 p.m. to 6:30 p.m. A typical Code: AC 1 TVh CL, RT, SP, sauna, small breakfast consists of 2 eggs, 2 slices bacon/ham, 2 refrigerator m eac room slices toast/jam, 2 beverages and one fruit. The lunch The deadline for reservations is August 1. and dinner meals may be purchased a Ia carte. Lunch The Park Plaza Hotel has underground parking for would include soup and salad, one entree, roll, butter, $5.75 for 24 hours; the Royal York has sheltered parking 2 beverages and one dessert. A typical dinner would be for $6 per day; the Carlton Inn has underground soup and salad, one entree, potato and vegetable, roll, parking for $2.50 per day. butter, 2 beverages, one fruit and one dessert. Coffee is unlimited if selected as choice of beverage. No seconds Registration at the Meetings are allowed. Meeting preregistration The cost of breakfast in the cafeterias for those not and registration fees only partially cover expenses on the breakfast plan is $2.50-$2.75, and for those of holding meetings. All mathematicians who participants and their families who prefer to take their wish to attend sessions are expected to register, meals in the cafeteria, the cost of lunch is $3.90-$4.10, and should be prepared to show and dinner $5.00-$5.50. their meeting badge, if so requested. The fees for registration at the meetings, which are 30 percent more Scarborough College provides full food service Ia a than the preregistration fees, are listed below. Either carte in its cafeteria, which is open Monday through U.S. or Canadian funds will be accepted. Friday from 9:00 a.m. to 4:00 p.m. AMS Short Course U.S. Canadian Hotel Accommodations Student/Unemployed $10 $12 Blocks of rooms have been set aside for use by All Other Participants $30 $37 participants at the hotels listed below. Participants One-day Fee (Second Day Only) $15 $18 should make their own reservations early, either Joint Mathematics Meetings directly with the hotels, or with the Toronto Meetings Member of AMS, MAA, I1ME $48 $58 Travel Hotline when booking airline reservations. In Emeritus Member of AMS, MAA $12 $15 either case, participants should identify themselves as Nonmember $7 4 $90 participants in the Joint Mathematics Meetings. The Student/Unemployed $12 $15 rates listed below are subject to change, and to a MAA Minicourses #1 and #2 7 percent Ontario Sales Tax; all rates are quoted in All Participants $15 each $l8ead Canadian dollars. The following codes apply: AC = Air Conditioned; Registration fees may be paid at the meetings in CL = Cocktail Lounge; FP = Free Parking; RT = cash, by personal or travelers' checks, or by VISA or Restaurant; SP = Swimming Pool; TV = Television. MASTERCARD credit cards. The age limit for children below which there is no There will be no extra charge for members of charge, providing a cot is not required and they are the families of registered participants, except that in the same room as a parent, is shown in parentheses all professional mathematicians who wish to attend on the same line as the charge for an extra person in sessions must register independently. the room. In all cases "Single" refers to one person in All full-time students currently working toward a one bed; "Double" refers to two persons in one bed; degree or diploma qualify for the student registration "Twin" refers to two persons in two beds. A rollaway fees, regardless of income. cot for an extra person can be added to double or twin The unemployed status refers to any person currently rooms only. Participants will be advised of deposit unemployed, actively seeking employment, and who is requirements by the hotels at time of confirmation. not a student. It is not intended to include persons who

363 have voluntarily resigned or retired from their latest Audio-Visual Aid position. A member of the AMS staff will be available to The emeritus status refers to any person who has advise or consult with speakers on their audio-visual been a member of the AMS or MAA for twenty years requirements. or more, and is retired on account of age from his or Coat Cheek her latest position. Baggage and The following registration fees which are shown Participants may leave baggage, parcels, coats, etc., in U.S. dollars are followed by comparable Canadian for safekeeping at the registration desk during the dollars {in parentheses). Nonmembers who register hours it is open, provided these items are picked up at the meetings and pay the $74 {$90) nonmember before the desk closes for the day. Articles left after registration fee are entitled to a discount of the closing time cannot be reclaimed until the following difference between the member registration fee of $48 morning. Articles not picked up when registration {$58) and the nonmember registration fee of $74 {$90) closes at 4:30 p.m. on Wednesday, August 25, will be as a $26 {$32) credit against dues in either the AMS turned over to the Department of Mathematics. or MAA or both, provided they join before September Cheek Cashing 26, 1982. The meeting cashier will cash personal or travelers' Nonmember students who register at the meetings checks up to $50, U.S. or Canadian, upon presentation and pay the $12 {$15) registration fee are also entitled of the official meeting registration badge, provided to a discount of the difference between the student there is enough cash on hand. preregistration fee of $8 ($10) and the registration fee of $12 ($15) as a $4 ($5) credit against dues in either Assistance, Comments and Complaints the AMS or MAA or both, provided they join before A log for registering participants' comments or com­ September 26, 1982. plaints about the meeting is kept at the Transparencies Nonmembers and nonmember students who thus section of the registration desk. All participants are qualify may join at the meetings, or by mail afterwards encouraged to use this method of helping to improve up to the deadline. future meetings. Comments on all phases of the Registration Dates and Times meeting are welcome. If a written reply is desired, participants should furnish their name and address. Course AMS Short Participants with problems of an immediate nature Outside Room 3153, Medical Sciences Building requiring action at the meeting should see the meeting Saturday, August 21 11:00 a.m. to 4:00 p.m. manager, who will try to assist them. Sunday, August 22 8:00 a.m. to 2:00 p.m. Local Information Joint Mathematics Meetings This section of the desk will be staffed by members [and MAA Minicourses (until filled)] of the Local Arrangements Committee and other Entrance Lobby, Sidney Smith Hall volunteers from the Toronto mathematical community. Sunday, August 22 4:00 p.m. to 8:00 p.m. Lost and Found Monday, August 23 8:00 a.m. to 4:30 p.m. See the meeting cashier. Tuesday, August 24, and 8:30 a.m. to 4:30 p.m. Mail Wednesday, August 25 All mail and telegrams for persons attending the Assistance and Information Desk meetings should be addressed to the participant, Outside Medical Sciences Auditorium (MSB 2158) c/o Joint Mathematics Meetings, Department of Thursday, August 26 8:30a.m. to 1:30 p.m. Mathematics, University of Toronto, Toronto, Ontario, Canada M5S 1Al. Mail and telegrams so addressed Please note that the Joint Mathematics Meetings may be picked up at the mailbox in the registration registration desk will not be open on Thursday, August area during the hours the registration desk is open. 26, and that the telephone message center will not be First class mail not picked up will be forwarded in operation that day. Other services provided during after the meeting to the mailing address given on the the meeting at the registration desk will also no longer participant's registration record. be available (see section below on REGISTRATION Personal Messages DESK SERVICES). There will, however, be a small desk set up outside the Auditorium in the Participants wishing to exchange messages during Medical Sciences Building where local information will the meetings should use the mailbox mentioned above. be available and where a staff member will provide Message pads and pencils are provided. It is regretted limited assistance to participants. No registration or that such messages left in the box cannot be forwarded cash transactions will be possible at this desk. to participants after the meeting is over. Telephone Messages REGISTRATION DESK SERVICES A telephone message center will be located in AMS /MAA Information the registration area to receive incoming calls for Information on the publications and activities of participants. The center will be open from August both organizations may be obtained at this section of 22-25 only, during the same hours as the Joint the registration desk. Mathematics Meetings registration desk. Messages will

364 be taken and the name of any individual for whom Department of Mathematics, University of Toronto, a message has been received will be posted until the Toronto, Ontario, Canada M5S 1Al. message has been picked up at the message center. Libraries The telephone number of the message center will be The Mathematics Department Library, located on the August issue of the Notices. announced in the second floor of Sidney Smith Hall, will be open from Transparencies 9:00 a.m. to 9:00 p.m. for the duration of the meetings. Speakers wishing to prepare transparencies in Information concerning books located in other libraries advance of their talk will find the necessary materials is available from the Department Library. The main and copying machines at this section of the registration collection of books is in the Science and Medicine desk. A member of the staff will assist and advise Library, located on Kings College Circle. The Robarts speakers on the best procedures and methods for Library houses the Humanities collection. Summer preparation of their material. There is a modest charge hours for the university libraries are: for these materials. Robarts 8:30 a.m. to 11:00 p.m. Monday-Thursday 8:30 a.m. to 6:00 p.m. Friday Visual Index 9:00 a.m. to 5:00 p.m. Saturday Alphabetical lists of registered participants, including Sci-Med 8:30a.m. to 9:00p.m. Monday-Thursday local addresses, arrival and departure dates, is 8:30 a.m. to 5:00 p.m. Friday maintained in the registration area. 9:00 a.m. to 5:00 p.m. Saturday Local Information NUSCELLANEOUSENFO~TION The Bank of Montreal, 262 Bloor Street West at St. Athletic Facilities George, will exchange U.S. currency for participants or recognized Meeting participants may use the swimming pool at no charge, provided either cash funds can and track for a S5 guest fee. Upon proof of meeting travelers' checks are presented. Canadian through MASTERCARD; however, registration, guest cards will be issued at the Booking also be obtained will not cash personal checks. Office in the Athletic Center. As this is the maintenance the Bank of Montreal Their )lours of operation are from 10:00 a.m. to 3:00 week for the facility, squash and tennis will not be p.m. Monday through Thursday, and from 10:00 a.m. available, and the towel service may not be operating. to 6:00 p.m. on Friday. It is suggested that participants Book Stores with confirmed housing reservations on campus plan There are three book stores located on campus. The on paying for their accommodations at check-in time U of T Bookroom, located on Kings College Circle, and in Canadian funds, since U.S. funds will be accepted the U of T Textbook Store, located on Huron Street, by the university housing clerks at par. are both open from 8:45 a.m. to 4:30 p.m., Monday The Toronto Transit Commission operates subways, through Friday. The Student Christian Movement streetcars, trolley buses, and suburban buses. All fares Bookstore, located on the edge of campus at the comer are 75 cents each, or eight for $5. of Bloor and St. George, is open 9:00 a.m. to 6:00 p.m., Taxi rates are $1.10 at flag drop and 20 cents each Monday through Friday, and 10:00 a.m. to 6:00 p.m. additional 1/8 mile. Saturday. In addition to the activities listed under the section Camping titled Social Events, Toronto has many other sights and attractions, such as the Royal Ontario Museum, There are no suitable camping sites located near the CN Tower, Casa Lorna, Toronto Islands, Old Fort the university. Those persons wishing to camp should York, Ontario Place, and The Art Gallery of Ontario contact their local KOA office for the current issue of in Grange Park. Further information can be obtained Handbook and Directory for Campers. on these places at the Local Information section of the Child Care meeting registration desk. Daycare may be arranged by interested individuals Medical Services by contacting the director of the Margaret Fletcher The University Health Service is open from 9:00 a.m. Daycare Centre, who will take children on a first­ to 4:30 p.m. daily for medical attention. Emergencies come, first-served basis. Write to Ms. Mercedes occuring during the evening or weekends can be Chacin de Fuchs, Margaret Fletcher Daycare Centre, handled at the Emergency Department of any of the 100 Devonshire Place, University of Toronto, Toronto, local hospitals: Toronto General Hospital, College at Ontario, Canada M5S 2C9. University; Women's College Hospital, 76 Grenville Crib Rental Street (College at Bay); the Hospital for Sick Children, 555 University Avenue. In addition, the Academy Cribs are available for $2.50 per day, plus 1 percent of Medicine can advise of local doctors who are on provincial sales tax, and a $10 total delivery and pick­ emergency call. Their telephone number is 922-1134. Strollers, high chairs, and infant (under up charge. Dental service can be arranged through the University rates on request. 20 lbs.) car seats are also available; Health Centre. Those persons wishing to rent any of these items should write to the undemamed as soon as possible, giving Parking dates required. In the case of cribs, full payment Parking throughout the university is extremely must be enclosed in Canadian funds: Annette Bunter, limited as the campus was not designed for motor

365 traffic. Parking stickers for pay lots will be available or limousine, will bring one directly to the university at the meeting registration desk for $3 per day. A campus. Participants are advised to utilize cab service 400-car parking lot on St. George Street will be open for the last leg of the trip. Most major car rental Monday through Friday, for which a $3 parking fee, agencies maintain desks at the airport. payable on site, is charged. There are also several areas VIA has eight trains daily from Montreal to Toronto, where on-street parking is free from 9:00 a.m. to 4:00 and one a day from Vancouver. One can take p.m. and 6:00 p.m. to 7:00 a.m. Metered parking is AMTRAK to Detroit, and then the bus to Windsor, also available. Maps indicating these parking areas will where VIA provides six trains daily to Toronto. Both also be available at the registration desk. Participants AMTRAK and VIA provide daily New York-Toronto are urged to drive as little as possible between the services. dormitories and the meeting areas. From all U.S. points, routes lead directly to Participants attending the AMS Short Course on Toronto on Highway 401. To get to the main (St. Saturday and Sunday, August 21-22, or the MAA George) University of Toronto campus from 401, take Minicourses on Sunday, August 22, will find free exit 52 (Avenue Road). Take Avenue Road south parking for the weekend only on King's College Circle approximately five miles, where it becomes University and Hart House Circle. Avenue after crossing Bloor Street. Then, see the Soeial Events campus map. Entering Canada is usually no problem for U.S. of Mathematics is planning enter­ The Department citizens, and involves nothing more than answering tainment for mathematicians and their families during questions about where they were born, where they At 8:45 p.m. on Monday, August 23, .the meeting. are going, and how long they will stay, and showing be an evening beer party at Wetmore Hall there will some form of proof of citizenship such as a voter's New College. Tickets to this event will Cafeteria, or birth certificate. Permanent U.S. residents who advance at the Transparencies section of be sold in are not citizens are required to bring their alien the meeting registration desk. More information will registration receipt card (U.S. form 1-151 or 1-551). appear in the August issue. Entry requirements vary for people coming to Canada During the week of the meeting, there will be from countries other than the United States. As a many entertainment events in Toronto and vicinity. A general rule, the visitor should have a valid national number of theatres will be giving regular performances passport. at this time. At Niagara-on-the-Lake there is the Shaw Festival, and at Stratford a Shakespeare festival. Weather Both of these places are relatively close to Toronto, The normal daytime high temperature during this and return transportation for any evening is easy to period is 79°F. Normal night-time low is 61°F. Rainfall arrange. In addition to theatrical events, Toronto has in August averages 2.65 inches, with a 30 percent a wide variety of musical events during the summer. average daily probability of precipitation. Humidity The Canadian National Exhibition will be in progress ranges from a daytime high of 67 percent to a the week of the meeting, and is easily accessible night-time low of 55 percent. The record high and from the university by public transportation. Tours low temperatures for August are 102°F and 39°F can be arranged during the daytime to such local respectively. Light sweaters and jackets are advised places of interest as the Ontario Science Centre, the for evening wear. Temperatures in Canada are given in McMichael Collection, and the large Metropolitan Zoo. the Celsius scale, so the preceding temperatures would Participants interested in these events should check read: normal high 26, normal low 16, record high 39, with the Local Information section of the meeting record low 4. registration desk. Raymond G. Ayoub Travel University Park, Pennsylvania Associate Secretary In August, Toronto is on Eastern Standard Time. There is regular airline service to Toronto International Airport by several major airline carriers. Premeeting Minieonferenee The airport in Toronto is approximately 18 miles STEPHEN J. PIERCE of the University of from city center, and the trip takes between 25 and Toronto has organized a miniconference on Linear 60 minutes. A taxi costs $18-$20; limousine $20; the algebra and matrix theory. This will take place Airport Express bus to Islington Subway station $2, on Sunday, August 22, beginning at 2:00 p.m. The then 75 cents to the city; the bus to York Mills station speakers will include Charles Johnson, Russell Morris, $2.50, then 75 cents to the city; and the Charterways Morris Newman, Hans Schneider, Olga Taussky­ Bus to downtown (stops at Royal York and Sheraton Todd, Robert Thompson, and Richard Varga. Centre) $5.50. None of these services, except the taxi

366 College Park, October 30-31, 1982, University of Maryland First Announcement of the 797th Meeting

The seven hundred ninety-seventh meeting of the may be announced prior to the deadline for submitting American Mathematical Society will be held at the abstracts. The deadline for speakers who wish to University of Maryland, College Park, on Saturday and submit abstracts for consideration for presentation in Sunday, October 30-31, 1982. special sessions is August 6. There will be four invited one-hour addresses and There will also be sessions for contributed ten­ approximately twelve special sessions of twenty-minute minute papers. Abstracts should be sent to the papers. The program is in the preparatory stage, and American Mathematical Society, P. 0. Box 6248, anyone who wishes to organize a special session should Providence Rhode Island 02940, so as to arrive prior to telephone or write to the associate secretary as soon as the deadline of August 27, 1982. Abstracts should be possible. prepared on the standard form available from the AMS The August issue of the Notices is scheduled to office in Providence or in departments of mathematics. go to the printer in June. Mathematicians who wish to organize special sessions are therefore urged to Raymond G. Ayoub have their proposals approved by June 18, so that they University Park, Pennsylvania Associate Secretary

AVAILABLE FROM THE SOCIETY

LECTURES ON DIFFERENTIAL GEOMETRY Contemporary Mathematics by Su Buchin This book is a set of notes based on lectures Invitation to Submit Manuscripts delivered at Fudan University, Shanghai in 1978 and 1979 by Su Buchin, professor of mathematics Ten volumes have now been published in Contem­ and president of Fudan University, to graduate stu· porary Mathematics, the American Mathematical dents as well as teachers from other institutions in Society's new paperback series of lecture notes, China. Some selected topics in global differential monographs and proceedings volumes, and a brochure geometry are dealt with. Certain areas of classical describing these and future volumes will soon be differential geometry based on a modern approach mailed to all AMS members. A new feature of the are presented in Lectures 1, 3 and 4. Lecture 2 is series is that all published proceedings of the AMS on integral geometry in the Euclidean plane. It is Summer Research Conferences, of which the first six abridged from W. Blaschke's "Vorlesungen uber are being held at the University of New Hampshire lntegralgeometrie." In Lecture 5, Cartan's exterior this summer (see the November 1981 Notices, pages differential forms are introduced. Fruitful applica­ 604 and 605), will appear in Contemporary Math­ tions in this area by S. S. Chern and C. C. Hsiung ematics. The editors of Contemporary Mathe­ from are also discussed. matics are now especially desirous of obtaining This book is useful for students and researchers individual authors excellent manuscripts of either in the areas of differential geometry and theoretical lecture notes or monographs. physics and is one of the very few mathematical The books are printed from typescript which is books written by a very renowned mathematician normally prepared by the author(s), using special of the People's Republic of China accessible to paper furnished by the Society. (The cost of English-speaking people. preparation is reimbursable upon request, up to $6.50 "Through this book, Professor Su embarked in per page.) The typing could be done by Society global differential geometry. I am confident that typists instead, if necessary. Each author of a non­ the reader will be rewarded by this glimpse into a proceedings volume is entitled to ten free copies of most active area in contemporary mathematics." the book. S. S. Chern To submit a manuscript, or to obtain further Published by World Scientific Publishing Company information, write to R. James Milgram, Department 220 pages {soft cover) of Mathematics, Stanford University, Stanford CA List price $7.00 94305. 25% discount for purchase of 10 or more copies To order, please specify DIFFGEOM/N

367 Baton Rouge, November 12-13, 1982, Louisiana State University First Announcement of the 798th Meeting

The seven hundred ninety-eighth meeting of the Registration American Mathematical Society will be held at The meeting registration desk will be located in the Louisiana State University in Baton Rouge, Louisiana, lobby of Pleasant Hall, and will be open from 10:00 on Friday and Saturday, November 12-13, 1982. Most a.m. to 4:00 p.m. on Friday, and from 9:00 a.m. to sessions will be held in Pleasant Hall and the LSU 2:00 p.m. on Saturday. The registration fees are $10 Student Union. for members, $16 for nonmembers, and $5 for students Invited Addresses and unemployed mathematicians. Accommodations By invitation of the Committee to Select Hour Speakers for Southeastern Sectional Meetings, there Rooms have been blocked for participants at Pleasant will be four invited one-hour addresses. The speakers Hall and at the Prince Murat Motor Inn. Individuals and the titles of their talks are: should make their own reservations prior to the cut­ off date of October 25. Pleasant Hall is by far the J. THOMAS BEALE, Tulane University, Some most convenient place to stay; none of the others are existence questions for the equations of surface within reasonable walking distance of the LSU campus, waves. but all are within 5 miles of the campus. The AMS ERIC BEDFORD, Princeton University, Topics on meeting should be mentioned at either Pleasant Hall holomorphic mappings. or the Prince Murat. None of the quoted rates include JON CARLSON, University of Georgia, Cohomol­ the applicable 8 percent tax. ogy and varieties of modules over group algebras. Pleasant Hall WILLIAM P ARL'ON, Duke University, Lower LSU Campus (70803) K-theory and singularities. Telephone: 504-387-0297 Single $26 Double $31.50 Special Sessions Prince Murat Motor Inn By invitation of the same committee, there will be 1480 Nicholson Drive (70802) six special sessions of selected twenty-minute papers. Telephone: 504-387-1111 The topics of the special sessions and the names of the (call collect for reservations) organizers are as follows: Single $27 Double $36 Nonlinear partial differential equations, J.F.G. Although rooms have not been blocked at the following, AUCHMUTY, University of Houston. they are included here for information purposes. Universal algebra and combinatorics, TREVOR Rodewaylnn EVANS, Emory University. 2445 S. Acadian Thruway (70808) Representations of finite groups, EDWARD Telephone: 504-925-8141 GREEN, Virginia Polytechnic Institute. (or 1-800-228-2000 for reservations) Several complex variables, MORRIS KALKA, Single $34 Double $40 Tulane University. Howard Johnson's East Continua theory, LEX OVERSTEEGEN, Univer­ 2365 College Drive (70808) sity of Alabama, Birmingham. Telephone: 504-925-2451 (or 1-800-654-2000 for reservations) Applications of algebraic K-theory to toplogy, Single $37 Double $42 FRANK QUINN, Virginia Polytechnic Institute. Baton Rouge Hilton Most of the papers to be presented at these special 5500 Hilton Avenue (70808) sessions will be by invitation. However, anyone Telephone: 504-924-5000 submitting an abstract for the meeting who feels that Single $59 Double $71 his or her paper would be particularly appropriate for Sheraton Baton Rouge one of these special sessions should indicate this clearly 4728 Constitution Avenue (70808) on the abstract and submit it by August. 3, 1982, Telephone: 504-925-2244 three weeks before the deadline for contributed papers. Single $63 Double $73 Contributed Papers Food Service There will also be sessions for contributed ten minute Food is available at the LSU Student Union and papers. Abstracts should be sent to the American at numerous restaurants within easy walking distance. Mathematical Society, P. 0. Box 6248, Providence, Pleasant Hall maintains a snack bar. Rhode Island 02940, so as to arrive prior to the deadline Entertainment of August 24. Abstracts should be prepared on the There will be a beer party on Friday evening at the standard AMS forms available from the AMS office in LSU Faculty Club. Tickets will be available at the Providence, or in departments of mathematics. registration desk for $2 per person.

368 Parking Baton Rouge is served by Delta, Republic, Texas There is a large double parking lot in front of International, Royale, and American Airlines. There Pleasant Hall. It should provide ample parking on are numerous regular flights to Baton Rouge from Saturday, but on Friday some people may have to Chicago, Dallas, Houston, New Orleans, and Atlanta. park at Hart lot next to Kirby Smith Hall. To reach Airport Limousine service to Pleasant Hall is $5 per the Hart lot, take the first right turn past Pleasant person. Hall; this is Infirmary Road. Proceed one block to Avis, Dollar, Hertz, National and Thrifty car rental the intersection just beyond the Student Health Service agencies have offices at the airport. Building and turn left into the drive that runs alongside Both Greyhound and Trailways provide bus service the Student Health Service Building. Follow this drive to Baton Rouge, but there is no train service. to the parking lot (see insert map). Frank T. Birtel Travel New Orleans, Louisiana Associate Secretary Baton Rouge is 80 miles northwest of New Orleans on 1-10. To reach Pleasant Hall, take 1-10 exit 156B and proceed south on Dalrymple Drive. Pleasant Hall is the first building on the right after crossing Highland Road {see map).

BATON ROUGE 1--PLEASANT HALL 2--PRINCE MURAT HOTEL 3--ROOEWAY INN 4--HOWARD JOHNSON'S MOTOR LODGE 5--HILTON HOTEL 6--SHERATON HOTEL 7--STUDENT HEALTH SERVICES BUILDING 8--MUSIC AND DRAMATIC ARTS BUILDING

PROCEEDINGS OF THE STEKLOV INSTITUTE

LIMITS OF INDETERMINACY IN MEASURE OF T·MEANS OF SUBSERIES OF A sents, in the sense of summability in measure of TRIGONOMETRIC SERIES appropriate subseries, all measurable functions. by D. E. Men''fov The monograph will be of interest to specialists translated by R. P. Boas in the theory of functions and related parts of analysis, and to graduate and postgraduate students ABSTRACT. This monograph is devoted to the in mathematics. problem of the representation of functions by trigo­ nometric series. In the very general situation when 1980 Mathematics Subject Classification: 42A24 the functions under consideration may even take Volume 149, iv +56 pages (soft cover) infinite values on sets of positive measure, the List price $20.00, institutional member $15.00, individual member $10.00 author establishes the existence, for a given regular ISBN 0-8218-3043-0; LC 81-14992 summation method, of a universal trigonometric Publication date: November 1981 series, with coefficients tending to zero, which repre- To order, please specify STEKL0/149N Prepayment is required for all AMS publications. Order from AMS, P. 0. Box 1571 Annex Station Providence, Rl 02901, or call toll free 800-556-7774 to charge with Visa or MasterCard. '

369 Invited Speakers order to announce all the Special Sessions to be held at these meetings prior to the speakers' deadline, approval and Special Sessions must be obtained by August 27, so that the sessions can be listed in the October Notices. One or two other Invited Speakers meetings are expected to be scheduled in the spring of at AMS Meetings 1983 (in the Far Western and Southeastern Sections). The dates and locations The individuals listed below have accepted invita­ of these meetings are expected to be tions to address the Society at the times and places announced in the August 1982 Notices in time to allow indicated. For some meetings, the list of speakers is the final lists of Special Sessions for those incomplete. meetings to be printed in the October or November issues of the Notices. Toronto, August 1982 August 1982 Meeting in Toronto David W. Boyd Joel L. Lebowitz Deadline for con.sideration: Ezpired Sun-Yung Alice Chang John W. Milnor Harish-Chandra Brent Pendleton Smith Richard A. Askey, The mathematical legacy of Morris W. Hirsch W. T. Tutte Gabor SzegfJ (Colloquium Lecturer) Shmuel Winograd Louis Auslander, Complexity and digital signal processing Baton Rouge, November 1982 David W. Boyd, Number theory J. Thomas Beale Jon Carlson Sun-Yung Alice Chang and Robert Fefferman, Eric Bedford William Pardon Classi­ cal harmonic analysis East Lansing, November 1982 Harvey M. Friedman, Applications of logic to Harold G. Donnelly Simon Hellerstein mathematics and computer science William T. Eaton Jeffrey B. Rauch Jacob E. Goodman, Discrete and computational Monterey, November 1982 geometry uavid Gieseker Saul Gorn, Computing theory Charles V. Jones, History of mathematics Denver, January 1983 Arne Magnus, Fade approximations and continued Michael Aizenman Benedict H. Gross fractions Bradley Efron Roger E. Howe Nathaniel F. G. Martin, Ergodic theory Charles L. Fefferman Samuel Karlin Jill P. Mesirov and Robert L. Bryant, (Colloquium Lecturer) (Gibbs Lecturer) Nonlinear partial differential Michael H. Freedman Neil J. A. Sloane equations in physics and geometry David Gieseker Andrew M. Gleason (Retiring Presidential Address) Thomas L. Saaty, Mathematics of complexity and noncausal thinking S. P. Singh and Siegfried Thomeier, Fixed point Organizers and Topics theory and applications of Special Sessions Herbert S. Wilf, Bijective proofs in generalized par­ tition theory and enumerative combinatorics The list below contains all the information about October 1982 Meeting special sessions at meetings of the Society available at in College Park the time this issue of the Notices went to the printer. Eastern Section The section below entitled Information for Or­ Deadline for consideration: August 6 ganizers describes a new timetable for announcing the November 1982 Meeting in Baton Rouge existence of Special Sessions which will take effect in Southeastern Section January 1983. Deadline for consideration: August 9 Four meetings have been scheduled for the fall of J.F.G. Auchmuty, Nonlinear 1982, for one of which (College Park) no information partial differential equations on Special Sessions is available at this time. Readers interested in organizing Special Sessions at the meetings Trevor Evans, Universal algebra and combinatorics scheduled for October and November are urged to seek Edward Green, Representations of finite groups approval prior to June 18, so that their Sessions may Morris Kalka, Several complex variables be announced in the August Notices. The August Lex Oversteegen, Continua theory Notices is the last issue to appear before the deadline Frank Quinn, Applications of algebraic K-theory to by which prospective speakers must submit abstracts topology of papers they wish to have considered for inclusion in the Special Sessions at these meetings. November 1982 Meeting in East Lansing The quota of twelve Special Sessions at the Annual Central Section Meeting in Denver has been filled. Deadline for consideration: August 29 Two meetings have been scheduled in the spring of Donald G. Aronson, Reactive diffusion systems 1983 (at Norman in March, and New York in April). In Sheldon Axler, Banach spaces of analytic functions

370 Morton Brown and Richard T. Miller, Geometric Secretary. Others are spontaneously proposed by topology interested organizers or participants. Such proposals Jonathan I. Hall, Finite geometries and related are welcomed by the Associate Secretaries. topics The number of special sessions at a Summer or Philippe M. Tondeur, Geometry of foliations Annual Meeting is limited to twelve. Proposals, invited Allen W. Weitsman, Classical real analysis or offered, which are received at least nine months prior to the meeting are screened for suitability of November 1982 Meeting in Monterey Far Western Section Deadline for consideration: Augwt 90 Send Proposals for Special Sessions to the Frank C. Hoppensteadt, Mathematical biology Associate Secretaries The Associate Secretary in charge of the AMS January 1983 Meeting in Denver program at the Annual Meeting in Denver, January Associate Secretary: Paul T. Bateman 1983, is Paul T. Bateman (address below); special Deadline for organizers: June g, 1gss sessions planned for this meeting must be approved Deadline for consideration: September B1, 198B prior to June 9, 1982. The Associate Secretary in Irving H. Anellis and G. E. Mine, Proof theory charge of the AMS program at the Summer Meeting Woodrow W. Bledsoe, Automatic theorem proving in Albany, August 1983, is Hugo Rossi (address Charles W. Curtis, Representation theory of finite below); special sessions for this meeting must be groups of Lie type approved before January 11, 1983. The programs P.D.T.A. Elliott and Wolfgang M. Schmidt, Diophan­ of sectional meetings are arranged by the Associate tine problems and analytic number theory Secretary for the section in question: John W. Gray, Applied category theory Far Western Section (Pacific and Mountain) A. G. Kartsatos and Mary E. Parrott, Monotonicity Hugo Rossi, Associate Secretary methods in differential equations Department of Mathematics Peter A. McCoy, Function-theoretic methods in University of Utah differential equations Salt Lake City, UT 84112 M. Zuhair Nashed, Abstract adjoints (Telephone 801-581-8159) Duong Hong Phong, Pseudo-differential operators Central Section and applications Paul T. Bateman, Associate Secretary Carl Pomerance, Number-theoretic algorithms Department of Mathematics Norberta Salinas, Operator algebras and operator University of Dlinois theory Urbana, IL 61801 Arthur Schlissel, History of mathematics (Telephone 217-333-4996) March 1983 Meeting in Norman Eastern Section Central Section Raymond G. Ayoub, Associate Secretary Deadline for organizers: Augwt B7, 198B (Term expires December 31, 1982) Deadline for consideration: To be announced Department of Mathematics 303 Mc.Allister Building April1983 Meeting in New York Pennsylvania State University Eastern Section University Park, PA 16802 Deadline for organizers: Augwt B7, 198B (Telephone 814-865-3611) Deadline for consideration: To be announced W. Wistar Comfort Spring 1983 Meeting in Far Western Section Associate Secretary Designate Site and Date Tentative Department of Mathematics Deadline for organizers: Augwt B7, 198B Wesleyan University Deadline for consideration: To be announced Middletown, CT 06457 August 1983 Meeting in Albany (Telephone 203-347-9411) Associate Secretary: Hugo Rossi Southeastern Section Deadline for organizers: January 11, 1989 Frank T. Birtel, Associate Secretary Deadline for consideration: To be announced Department of Mathematics Tulane University Information for Organizers New Orleans, LA 70118 (Telephone 504-865-5646) Special sessions at Annual and Summer meetings As a general rule, members who anticipate are held under the general supervision of the Program organizing special sessions at AMS meetings are Committee. They are administered by the Associate advised to seek approval at least nine months prior Secretary in charge of the meeting with staff assistance to the scheduled date of the meeting. No Special from the Society office in Providence. Sessions can be approved too late to provide adequate Some special sessions arise from an invitation to advance notice to members who wish to participate. a proposed organizer issued through the Associate

371 the topic and of the proposed list of speakers, and announcement to appear in time to allow a reasonable for possible overlap or conflict with other proposals interval for members to prepare and submit their (specific deadlines for requesting approval for special abstracts prior to the special early deadline set for sessions at national meetings are given above). If consideration of papers for special sessions. necessary, the numerical limitation is enforced. Proposals for Special Sessions should be submitted Infonnation for Speakers directly to the Associate Secretary in charge of the meeting (at the address given in the box on this page). A great many of the papers presented in Special If such proposals are sent to the Providence office, Sessions at meetings of the Society are invited papers, addressed to the Notices, or directed to anyone other but any member of the Society who wishes to do so may than the Associate Secretary, they will have to be submit an abstract for consideration for presentation in forwarded and may not be received before the quota is a Special Session, provided it is received in Providence filled. prior to the special deadline, announced above and in In accordance with an action of the Executive the announcements of the meeting at which the Special Committee of the Council, no special session may be Session has been scheduled. arranged so late that it may not be announced in the No person is entitled to present more than one paper Notices early enough to allow any member of the in the Special Sessions at any one meeting. Society, who wishes to do so, to submit an abstract Abstracts of papers submitted for consideration for consideration for presentation in the special session for presentation at a Special Session must be before the deadline for such consideration. received by the Providence office (Editorial Department, Special sessions are effective at sectional meetings American Mathematical Society, Post Office Box 6248, and can usually be accommodated. They are arranged Providence, RI 02940) by the special deadline for by the Associate Secretary under the supervision of Special Sessions, which is usually three weeks earlier the Committee to Select Hour Speakers for the section. than the deadline for contributed papers for the same The limitation on the number of sessions depends on meeting. The Council has decreed that no paper, the space and time available. The same restriction whether invited or contributed, may be listed in the as for national meetings applies to the deadline for program of a meeting of the Society unless an abstract announcing special sessions at sectional meetings: no of the paper has been received in Providence prior to special session may be approved too late for its the deadline.

MATHEMATICALSCIENCES 1982 administrative directory

PROFESSIONAL MATHEMATICAL ASSOCIATIONS ACADEMIC INSTITUTIONS-DEPARTMENTS IN THE MATHEMATICAL SCIENCES AND OTHER FACILITIES in the U.S., Canada, Central America, and the Caribbean, coded according to the highest degree offered MATHEMATICAL UNITS IN NONACADEMIC ORGANIZATIONS HEADS AND KEY PERSONNEL of a selected group of government agencies EDITORS OF JOURNALS in the mathematical sciences OFFICERS AND COMMITTEE MEMBERS in more than 25 professional mathematical organizations AN INDEX OF ACADEMIC INSTITUTIONS

$12.60 Publication date: February 15, 1982 Code: ADMDIR82- Prepayment Required american mathematical society p. o. box 1571, annex station, providence, r. i. 02901

372 Special Meetings

TmS SECTION contains announcements of meetings of interest to some segment of the mathematical public, including ad hoc, local, or regional meetings, and meetings or symposia devoted to specialized topics, as well as announcements of regularly scheduled meetings of national or international mathematical organizations. (Information on meetings of the Society, and on meetings sponsored by the Society, will be found inside the front cover.) AN ANNOUNCEMENT will be published in the Notices if it contains a call for papers, and specifies the place, date, subject (when applicable), and the speakers; a second full announcement will be published only if there are changes or necessary additional information. Once an announcement has appeared, the event will be briefly noted in each issue until it has been held and a reference will be given in parentheses to the month, year and page of the issue in which the complete information appeared. IN GENERAL, announcements of meetings held in North America carry only date, title of meeting, place of meeting, names of speakers (or sometimes a general statement on the program), deadline dates for abstracts or contributed papers, and source of further information. Meetings held outside the North American area may carry more detailed information. All communications on special meetings should be sent to the Editor of the Notices, care of the American Mathematical Society in Providence. DEADLINES are listed on the inside front cover of each issue. In order to allow participants to arrange their travel plans, organizers of meetings are urged to submit information for these listings early enough to allow them to appear in more than one issue of the Notices prior to the meeting in question. To achieve this, listings should be received in Providence SIX MONTHS prior to the scheduled date of the meeting.

1981-1982. Dilltingulshed Lecture Seriea in Applied 7-11. Journeea aur lea Equation• aux Dt!riveea Partiellea, Mathematic., Chicago, Illinois. (February 1982, p. 196) Saint-Jean-de-Monts, France. (April 1982, p. 294) 1981-1982. Special Program in Algebraic Number Theory 7-17. Seventh International Conference on Operator and Algebra, University of Illinois at Urbana.-Champaign, Theory, Timisoara-Herculana, Romania. (February 1982, Urbana, Illinois. (October 1981, p. 546) p. 198) 1981-1982. Academic Year Devoted to Mathematical 7-18. Workshop on Meaaure Theory and ita Application•, Problema in Theoretical Pbysica, The Mittag-Leffler Universite de Sherbrooke, Sherbrooke, Quebec, Canada. Institute, Djursholm, Sweden. (February 1981, p. 177) (February 1982, p. 198) 1982-1983. Special Year in Lie Group Repreaentationa, 8-11. Conference in Modern Analyaia and Probability (in Connecticut. University of Maryland, College Park, Maryland. honor of Shimo Kakutani), New Haven, (January 1982, p. 76) Program: There will be advanced couraes and lecture series concentrated in the following areas: algebraic aspects 8-11. 1982 Short Courae on Teaching Computer Science of semisimple theory; arithmetic groups, automorphic in a Mathematic• Department, Denison University, repreaentations, automorphic forms, L-groups, base Granville, Ohio. (January 1982, p. 76) change, orbital integrals, adelic and local theory; 14-16. Firat American Control Conference, Sheraton analytic aspects of semisimple theory; orbit method; National Hotel, Arlington, Virginia. (April 1982, p. 294) and applications. 14-18. International Meeting on .Analylia of Sample Survey Rebecca Herb, Ray Johnson, Steve Organizing Committee: Data and Sequential Analylia, Jerusalem, Israel. Kudla, Ron Lipsman (Chairman), Jonathan Rosenberg. Information: J. Yahav or G. Nathan, Hebrew University Organizing Information: Ronald L. Lipsman, Chairman, of Jerusalem, Israel. Committee, Department of Mathematics, University of Maryland, College Park, Maryland 20742. 14-18. Gordon Reaearch Conference on Theoretical Biology and Biomathematica, Tilton School, Tilton, January 3-0ctober 2, 1982. Mathematischea Forachungs­ New Hampshire. (April 1982, p. 294) inatitut Oberwollach, (Weekly Conferences), Federal Republic of Germany. (January 1982, p. 74) 14-18. Meeting on Symbolic Computation, Salisbury State College, Salisbury, Maryland. (February 1982, p. 198) September 1, 1982-August 31, 1983. Statistical and on Mathemati­ Continuum Approachea to Phaae Tranlition, Institute 14-18. NSF-CBMS Regional Conference Colorado State for Mathematics and its Applications, University of cal Theory of Laminar Combuation, (April1982, p. 297) Minnesota, Minneapolis, Minnesota. (January 1982, p. 74) University, Fort Collins, Colorado. 14-18. Special Conference in Honor of Profeaaor H. Ohio State University, Columbus, Ohio. JUNE 1982 Zaaaenhaua, (April1982, p. 295) forms, 2-4. Conference on Computer Architecture and Computa­ Topics: Combinatorics, group theory, homogeneous theory, ring theory, and the theory of borders. tional Mathematic•, University of Minnesota, Minneapolis, number Minnesota. (April 1982, p. 294) 14-18. MAA Workahop for Cue Study Course in Applied Mathematic•, University of Maine, Orono, Maine. (April 3-5. Statiatical Society of Canada 1982 Annual Meeting, 1982, p. 295) University of Ottawa, Canada. (February 1982, p. 198) 14-18. Fifth International Conference on Trends in University 6--11. Conference on Appl'Oldmation Theory, Theory and Practice of Nonlinear Dift'erential Equations, of Alberta, Edmonton, Canada. (November 1981, p. 644; Department of Mathematics, University of Texas at January 1982, p. 76) Arlington, Arlington, Texas 76019. (January 1982, p. 77) 7-10. National Computer Conference, New York, New 14-July 2. Seminar on Numerical .Analylia, Toronto, York. (April1982, p. 294) Canada. 7-11. NSF Conference on Large Deviation•, Southern Information: Canadian Mathematical Society, University Illinois University, Carbondale, Illinois. (April1982, p. 297) of Toronto, Toronto, Canada.

373 15-17. Workshop on Low-Probability/ffigh-Consequence JULY 1982 Risk Analysis, Hyatt Regency, Arlington, Virginia. {February 1982, p. 198) 5-11. Conference on Ordered Sets and Applications, Lyon, France. (February 1982, p. 199) 15-28. Conference on Finite Groups, Montreal, Canada. Seminar on Numerical Linear Algebra and {February 1982, p. 198) 5-16. Differential Equations, Toronto, Canada. 16-18. Second International Conference on Boundary and Information: Canadian Mathematical Society, University Interior Layers-Computational and Asymptotic Methods of Toronto, Toronto, Canada. {BAIL H), Dublin, Ireland. {November 1981, p. 644) 12-14. EURO V: Fifth European Congress on Operation• 17-18. New Directions for Risk Analysis-Second Annual Researeh, Lausanne, Switzerland. {February 1982, p. 199) Meeting of the Society for Risk Analysis, Hyatt Regency, 12-14. Joint Meeting of Operations Research Society Arlington, Virginia. {February 1982, p. 198) of America and The Institute of Management Sciences, Lausanne, Switzerland. {February 1982, p. 199) 20-July 2. Combinatorial Methods in Topology and Algebraic Geometry, University of Rochester, Rochester, 12-16. Conference on Partial Dilferential Equations (in New York. {February 1982, p. 198) Honor of Ralph Phillips), Stanford University, Stanford, California. (April 1982, p. 297) 21. Journee Arithmetique, Orsay, France. (April 1982, 12-16. CBMS Regional Conference on Competition Models p. 295) **Date changed. See Late Entries.** in Ecology, Utah State University, Logan, Utah. (February 21-25. Queueing Networks and Applications, Johns 1982, p. 199) Hopkins University, Baltimore, Maryland. {February 1982, 14-17. Third Geometry Sympoaium, Siegen, Federal p. 199) Republic of Germany. (February 1982, p. 200) 21-25. Problem Solving, Salisbury State College, 15-30. Ecole d'Ete d'Analyse Numerique: Modeliaation Salisbury, Maryland. (February 1982, p. 199) Numerique de Ia Turbulence, Breau sans Nappe, France. 21-25. IEEE International Symposium on Information Information: Secret. Ec. Ete, 1 avenue General de Gaulle, Theory, Les Arcs, France. (October 1981, p. 548) 92140 Clamart, France. 19-21. Colloque International du CNRS: L'ffistoire de Ia 21-25. Ninth U.S. National Congress of Applied Mechanics, Physique des Particules au Cours de Ia Periode 1930-1960, Cornell University, Ithaca, New York. (August 1981, College de France, Paris, France. p. 438) Information: M. Berthelot, Dir. Rech. Centre National de 21-26. Limit· Theorems in Probability and Statistics, Ia Recherche Scientifique, Lab. Phys. Nucl. et Hautes Budapest, Hungary. Energ., Universite Pierre et Marie Curie, 4 place Jussieu, Information: Bolyai Janos Matematikai Tarsulat, 1 Anker- 75230 Paris, Cedex 05, France. kiiz, Budapest 6, Hungary. 19-21. 1982 Summer Computer Simulation Conference, Marriott City Center Hotel, Denver, Colorado. (April1982, 22-26. NSF-CBMS Regional Research Conference on p. 295) Nonlinear Waves and Integrable Systems, East Carolina University, Greenville, North Carolina. {April1982, p. 297) 19-23. SIAM Thirtieth Anniveraary Meeting, Stanford University, Stanford, California. (February 1982, p. 200) 22-30. International Conference on Population Biology, 25-August 7. Joint NATO/London Mathematical Society University of Alberta, Edmonton, Alberta, Canada. Advanced Study Institute on Syatems of Nonlinear (February 1982, p. 199) Partial Dift'erential Equations, Oxford, United Kingdom. 28-30. 1982 National Educational Computing Conference, (November 1981, p. 644) Kansas City, Missouri. {November 1981, p. 644) 26-August 6. NATO Advanced Study Institute on Computational Aspects of Complex Analyais, Braunlage, on Random Walks and their 28-July 1. Symposium Federal Republic of Germany. Application to the Physical and Biological Sciences, Information: H. Werner, Universitat Bonn, 6 Wegeler- (February 1982, p. 199) Gaithersburg, Maryland. strasse, D-5300 Bonn 1, Federal-Republic of Germany. 28-July 2. Eighth Research Application Conference on 26-August 13. International Seminar on Data Analysis, Human Risk Assessment, Alta, Utah. {April 1982, p. 295) Universite de Montreal, Montreal, Canada. (February 28-July 2. Ninth Prague Conference on Information 1982, p. 200) Theory, Statistical Decisions and Random Processes, Prague, Czechoslovakia. (February 1982, p. 199) AUGUST 1982 28-July 2. Second Bad Honnef Workshop on Stochastic August 1982. International Conference on Finite Element Dilferential Systems, Bonn, Federal Republic of Germany. Methoda, Beijing, China. (January 1982, p. 77) {February 1982, p. 199) 2-6. NSF-CBMS Regional Conference on Closed Geodesies 28-July 2. Differential Geometric Control Theory, on Riemannian Manifolds, Center for Applied Mathe­ Michigan Technological University, Houghton, Michigan. matics, University of Florida, Gainesville, Florida. (January 1982, p. 77) Program: Wilhelm Klingenberg, University of Bonn, West Germany, wiH give ten expository lectures concerning 28-July 2. Eleventh Conference on Stochastic Processes the following broad topics: the Hilbert manifold of and their Applications, University of Clermont-Ferrand, closed H 1-curves, existence of infinitely many closed France. {October 1981, p. 548) geodesics, equivariant Morse theory, and stable periodic of geodesic flows. Other talks are also planned. 28-July 3. Second World Conference on Mathematics at orbits the Service of Man, Las Palmas {Canary Islands), Spain. Support: A grant from the National Science Foundation Program is (October 1981, p. 548) under the CBMS Regional Conferences providing some support for travel and living expenses. 29-July 2. Third Symposium on Control of Distributed Information: S. Chen or P. Barrett, Department of Parameter Systems, Toulouse, France. (February 1982, Mathematics, 201 Walker Hall, University of Florida, p. 199) Gainesville, Florida 32611.

374 2-6. International Seminar on Functional Analysis, 23-28. Equadiff 82, Wiirzburg, Federal Republic of Holomorphy and Approximation Theory, State University Germany. (January 1982, p. 77) of Campinas, Brazil. (November 1981, p. 644; April 1982, 30-September 2. International Colloquium on Geometry p. 296) Teaching, Mons, Belgium. Purpose: The seminar is being held in honor of the sixtieth birthday of Professor Leopoldo Nachbin. Information: G. Noel, Universite de l'Etat a Mons, 15, Avenue Maistriau, B 7000 Mons, Belgium. 2-6. Third Conference on Topology of Manifolds and Homotopy Theory, Rio de Janeiro, Brazil. (February 30-September 3. Eleventh International Symposium on 1982, p. 200) Mathematical Foundations of Computer Science, Gdansk, Poland. ***(This meeting has been cancelled. See 3-10. Meeting on Binary Systems and Ring Theoretic February 1982, p. 201)*** Methods in Universal Algebra, CzechosloVB.kia. (January 1982, p. 77) SEPTEMBER 1982 8-13. Firat International Conference on Teaching of Statistics, Sheffield, England. 1-3. Symposium on Informatics and Control for Develop­ Information: Conference Secretary, International Con­ ment, Tunis, Tunisia. ference on the Teaching of Statistics, Department of Sponsor: International Association of Science and Tech­ Probability and Statistics, The University, Sheffield nology for Development. S3 7RH, England. Purpose: The Symposium concerns the development prob­ 8-13. TenthiMACS World Congress on Systems Simulation lems of industrialized countries and developing countries. and Scientific Computation, Montreal, Canada. (June Information processing tools and measurement and 1981, p. 348; April 1982, p. 296) control techniques can contribute to the solution of 8-13. Firat International Conference on Teaching of these problems. The aim of the conference is to Statistics, Sheffield, England. (January 1982, p. 77) establish contact between people working in general methods and those interested in applications. 9-10. International Conference on Philosophy and Foun­ Information: Secretary, lASTED Tunis Symposia, dations of Mathematics, Warsaw, Poland. (February 1982, p. 200) Department of Electrical Engineering, Ecole Nationale d'lngenieurs de Tunis, B.P. 37, 1012 Tunis-Belvedere, 11-19. International Congress of Mathematicians, Warsaw, Tunisia. Poland. (August 1981, p. 426; February 1982, p. 152) ***(The Congress has been postponed; See News and 1-3. Symposium on Measurement and Control, Tunis, Announcements, this issue)*** Tunisia. Sponsor: International Association of Science and 16--19. Institute of Mathematical Statistics Annual Meet­ Technology for Development. ing, Cincinnati, Ohio. (February 1982, p. 200) Program: The symposium covers the theoretical and 19-21. Third American Time Series Meeting, Cincinnati, practical aspects of measurement, computers and Ohio. (February 1982, p. 200) control. 19-27. Eighth Conference on Analytic Functions, Information: Secretary, lASTED Tunis Symposia, Blazejewko, Poland. (August 1981, p. 438) Department of Electrical Engineering, Ecole Nationale d'lngenieurs de Tunis, B.P. 37, 1012 Tunis-Belvedere, 22-September 8. Xlleme Ecole d'Ete de Caleul des Tunisia. Probabilites, Saint-Flour, Cantal, France. (April 1982, p. 296) 1-10. International Institute on Stoebasties and Optimisa­ 23-27. Sixth Australian Statistical Conference, University tion, University of Milan, Gargnano, Italy. (April 1982, of Melbourne, Victoria, Australia. p. 296) Sponsor: Statistical Society of Australia. 5-9. European Econometric Congress, Dublin, Ireland. Information: Ian R. Gordon, Department of Statistics, Information: Mme. Aussert, I.S.U.P., 4 place Jussieu, University of Melbourne, Parkville, Victoria, 3052, 75230 Paris, Cedex 05, France. Australia. 13-17. Fifteenth European Meeting of Statisticians, 23-27. Third Coeeboslovak Symposium on Graph Theory, Palermo, Italy. Prague, Czechoslovakia. Information: A. Mineo, 1st. Stat., Fac. Econ., Palermo, Information: Mathematical Institute CSAV (Graphs), Italy. Zitna 25, 115 67 Praha 1, Czechoslovakia. 15-17. IFAC Sympoaium on Computer Aided Design of 23-27. Tenth Australian Conference on Combinatorial Multivariable Technological Systems, Purdue University, Mathematics, University of Adelaide, Adelaide, South West Lafayette, Indiana. (April 1982, p. 296) Australia. (April 1982, p. 296) 23-27. Eleventh International Symposium on Mathemati­ OCTOBER 1982 cal Programming, University of Bonn, Bonn, West Germany. (February 1982, p. 200) October-November 1982. Workshop on Teaching of 23-28. Logie Colloquium 82, Mathematics Institute, Graduate and Undergraduate Mathematics, Chiangmai, University of Florence, Italy. Thailand. (January 1982, p. 77) Topics: Model theory, categorical logic, and lambda­ 1-2. Tenth Annual Mathematics and Statistics Conference, calculus. Miami University, Oxford, Ohio. (April 1982, p. 296) Invited Speakers: (Tentative). J. Baldwin, H. Barendregt, 17-21. International Conference on Mathematics, Univer­ E. Borger, G. Cherlin, M. Dezzani, M. Fourman, sity of Riyadh, Riyadh, Saudi Arabia. (February 1982, R. J. Grayson, J.M.E. Hyland, A. Joyal, J. Keisler, p. 200) A. Lachlan, D. Lascar, A. Macintyre, R. Magari, J. Makowsky, L. Pacholski, G. Reyes, D. Scott, S. Shelah 18-20. American Society for Cybernetics Annual Meeting, and C. Smorynski. Columbus, Ohio. Program: There will be a short course on models of Program: There will be panels, seminars, symposia, talks, Peano arithmetic to commemorate the 50th anniversary tutorials, workshops, and paper presentation sessions. of Peano's death. There will be sessions for contributed A number of sessions will be devoted to the topic papers. Cybernetics and Education. Information: A. Marcja, Logic Colloquium 82, Istituto Information: John Hayman, 1982 ASC Program Chairman, Matematico "U. Dini", V. le Morgagni, 67 fA, 50134 Hayman Associates, Inc., P.O. Box 1626, Clanton, Firenze, Italy. Alabama 35045.

375 18-20. Symposium on Wavea on Fluid Interfaces, Mathe­ Speaker: Lester Lange, San Jose State University. matics Research Center, University of Wisconsin, Madison, Information: Shirley Trembley, Convention Chairper- Wisconsin. son, Department of Mathematics, Bakersfield College, Invited Speakers: G. R. Baker, P. Concus, S. Davies, H. Bakersfield, California 93305, or James Baldwin, Depart­ T. Davis, E. Dussan, T. Hanratty, J. B. Keller, M. W. ment of Mathematics, Nassau Community College, Kim, G. Leal, A. Maxworthy, K. Ruschak, P. Sa.ftinan, Garden City, New York 11530. S. A. Thorp!', J. M. Vanden-Broeck, S. Weinbaum. 16-December 10. Autumn CoUl'lle on Mathematical Information: Gladys Moran, Mathematics Research Ecology, International Centre for Theoretical Physics, Center, University of Wisconsin, 610 Walnut Street, Trieste, Italy. (April 1982, p. 297) Madison, Wisconsin 53706. 8--9. Aaaociation for Symbolic Logie Annual Meeting, 20-29. Regional Training CoUl'lle on the Teaehing of Denver, Colorado. Undergraduate Mathematic&, Chiangmai, Thailand. Program: The meeting is being held in conjunction Information: The Secretariat, Regional Training Course, with the annual meeting of the American Mathematical Department of Mathematics, Chulalongkom University, Society. The meeting will include a special session Bangkok, Thailand. on proof theory and theories of quantification, to be 25-27. Sparse Matrix Symposium, Fairfield Glade, organized by I. H. Anellis and G. E. Mine. It is hoped Tennessee. (February 1982, p. 200) that the session can be dedicated to the commemoration of Jean van Heijenoort's 70th birthday. For information NOVEMBER 1982 on the special session, contact I. H. Anellis, Nominazione, Rivista Int. di Logica, Via Crivelli, 15/1 20122 Milan, 2-4. SIAM Conference on Numerical Simulation of VLSI Italy. Devices, Boston, Massachusetts. (April 1982, p. 296) Deadline for Abstracts: October 15, 1982. Information: J. Donald Monk, Mathematics Department, 3-5. Twenty-third Annual IEEE Symposium on Founda­ University of Colorado, Boulder, Colorado 80309. tion• of Computer Science, Chicago, Dlinois. (February 1982, p. 201) August 1984. Fifth Jnter.u.ational Congress on Mathematiea Education, University of Adelaide, Australia. (See News 11-14. American Mathematical Association of Two-Year and Announcements, this issue) College• Annual Convention, Las Vegas, Nevada. Deadline for Application: September 30, 1982. Topics: Developmental mathematics, computers in Information: John Mack, Department of Pure Mathe­ mathematics, statistics, technical mathematics, women matics, Sydney University, NSW 2006, Australia. in mathematics, and precalculus-calculus. LATE ENTRIES JUNE 1982 CONTEMPORARY MATHEMATICS 7-8. Joumt!es Arithmetiques, Orsay, France Information: H. Daboussi, Departement de Matbematiques, THE CLOSED GRAPH AND P-CLOSED Universite Paris-Sud, B~t. 425, 91405 Orsay, France. GRAPH PROPERTIES IN GENERAL TOPOLOGY by T. R. Hamlett and L. L. Herrington 14-19. Conference on Diophantine Approximation, CIRM­ Marseille-Luminy, France. In General Topology the basic setting (particu­ Speakers: F. Beukers, W. D. Brownawell, D. W. Masser, W. larly from a categorical point of view) is a function M. Schmidt, J. Silverman, G. Wiistholz. F: X---+ Y where X and Y are arbitrary topological Information: D. Bertrand and M. Waldschmidt, Institut spaces. The fundamental consideration in this setting Henri Poincare, 11 rue Pierre et Marie Curie, 75231 is: When is F continuous? In the context of topo­ Paris Cedex 05, France. logical vector spaces, where F is linear and X and Y are Banach spaces, it is sufficient for continuity to 28-July 3. Colloque de Thc!orie des Nombres, CIRM­ Marseille-Luminy, France. show that F has a closed graph. Consequently, the Speakers: Brinkhuis, Ph. Cassou-Nogues, Coates, Cornell, Closed Graph Theorem has long been recognized as Cougnard, Frohlich, McCullogh, Ribet, Taylor, Wiles; a major tool in Functional Analysis. Until recently, tentatively, Chinburg, Everest, Mazur, and Katz. by comparison, very little effort has been expended Information: Guy Henniart, Departement de Mathc!matiques, in the setting of General Topology to determine Universite Paris-Sud, Bti:t. 425, 91405 Orsay, France. when a function with a closed graph is continuous. In recent years, however, interest has grown in this topic simultaneously with an increasing interest in the more general subject of noncontinuous functions. The authors' purpose in writing this paper is to provide an elementary exposition of the results re­ lating to functions with closed and P-closed graphs in a setting of General Topology. Some of the re­ sults included in this paper have not been published elsewhere, and represent the latest research efforts in this area. Volume 3, xi + 68 pages (soft cover) List price $6.80, Institutional member $5.10, Individual member $3.40 ISBN 0-8218-5004-0; LC 81-10888 Publication date: August 1981 To order, please specify CONM/3N

376 New AMS Publications

AMS Book Orders-Toll Free Number For Users of VISA, MASTERCA~D. lndivi?uals in the continental United States may order books published by the Society by calling 800-556-7774 and using a charge card. The number will be attend_ed from 8:00 a:m. to 4:15p.m. Eastern Time, Monday through Friday except on holidays. When usmg a charge card for mail orders, please be sure to specify whether VISA or MasterCard and include the account number, expiration date, and signature.

CONTEMPORARY MATHEMATICS Contemporary Mathematics {ISSN 0271-4132) Volume 1 0, vii + 204 pages (soft cover) List price $12.80, institutional member $9.60, OPERATOR ALGEBRAS AND K-THEORY individual member $6.40 ISBN 0-8218·5011-3; LC 82-4094 edited by Ronald G. Douglas and Claude Schochet Publication date: May 1982 In the last twenty years there has been more and To order, please specify CONM/1 ON more interplay between functional analysis and alge­ braic topology, and, more specifically, between oper­ MEMOIRS OF THE AMS ator algebras and K-theory. This interplay has led (ISSN 0065-9266) already to the index theorem for elliptic operators, the classification of essentially normal operators, the PRODUCTS OF REFLECTIONS IN U(p, q) index theorem for foliations, as well as a host of by Dragomir Djokovic and jerry G. Malzan other related results. Z A Special Session in Operator Algebras and K­ This book deals with products of reflections in Theory was held at the annual AMS meeting in San the unitary group U(p, q). There are two conju­ Francisco on january 7-8, 1981. The present volume gacy classes of reflections (when p, q ;;;. 1 ), on~ of represents nearly all of the talks given, one extra which is called positive. For each A E U(p, q) With paper by an honorary participant, and a list of prob­ det A = ± 1 we determine the minimum number of lems edited by Edward G. Effros. positive reflections needed to represent A. We do The book is intended for mathematicians and this as well when both types of reflections are graduate students. Several of the articles are partially allowed in the factorization of A. The same problem or totally expository in nature, requiring a very for the classical compact groups O(n), U(n), and modest background. Others are research articles for Sp(n), and orthogonal groups in general, was solved the specialist. These papers delineate a new field of previously. study and describe various directions of new research. 1980 Mathematics Subject Classifications: 20G20; 20F05. They should make it possible for others to enter the Memoirs of the AMS field. Number 259, vi + 86 pages (soft cover) List price $5.20, institutional member $3.90, CONTENTS Individual member $2.60 ISBN 0·8218·2259-4; LC 81·20544 Paul Baum and Ronald G. Douglas, Index theory, Publication date: May 1982 bordism, and K-homology To order, please specify MEM0/259N joel M. Cohen and Leonede De-Michele, The radical Fourier-Stieltjes algebra of free groups G SURGERY II David Handelman, Reducible topological Markov by Karl Heinz Dovermann and Ted Petrie chains via K -theory and Ext 0 This Memoir develops equivariant surgery theory W. C. Hsiang and H. D. Rees, Mi~enko's work on as it is needed in the study of finite transformation Novilov's conjecture groups. Surgery theory is set up _to provide p_seudo Jerome Kaminker, Pseudo-differential operators and differential structures equivalences, i.e. homotopy equivalences wh1ch are equivariant maps. This is also considered in the rela­ Henri Moscovici, L2 -index on elliptic operators on tive setting leaving certain fixed point sets unchanged. locally symmetric spaces of finite volume Surgery theory for providing other equivalences William L. Paschke, K-theory for actions of the cir­ {equivariant homotopy equivalences, mod p homol­ cle group on C*-algebras ogy equivalences} is outlined. Marc A. Rieffel, Connes' analogue for crossed prod­ The fundamental theorem in surgery is the 1r-1r ucts of the Thorn isomorphism Theorem (or exactness of the short surgery sequence}. jonathan Rosenberg, The role of K-theory in non­ Its equivariant version is proved here. commutative algebraic topology The book is organized as follows. The appropriate Norberto Salinas, Some remarks on the classification objects for surgery are normal maps. The necessary of essentially n-normal operators bundle theory and its relation to surgery are de­ A Selection of Problems, edited by Edward G. Effros scribed in detail. A rather subtle study of the com­ 1980 Mathematics Subject Classifications: 46L05, 55N15. binatorics of G manifolds in connection with Euler

377 characteristics is exploited to handle projective ob­ EQUIVALENCE OF MEASURE structions. These three concepts determine the no­ PRESERVING TRANSFORMATIONS tion of normal maps, and normal maps define the by DonaldS. Ornstein, Daniel j. Rudolph, and terms of the surgery sequence. It is shown how Benjamin Weiss equivariant transversality provides normal maps. This Memoir studies the orbit structure of flows. In simple situations the main theorems are re­ This is the same problem as determining which flow stated in terms familiar to topologists. The Memoir can be made isomorphic by changing the speed along contains an account of the structure of the surgery orbits. A large class of flows is shown to be equivalent obstruction set, i.e. the group structure and the in­ (same orbit structure). In contrast it is shown that the ductive properties. This theory can be applied in the possible orbit structures are vast and complicated. study of smooth group actions on homotopy spheres 1980 Mathematics Subject Classifications: 28 DOS, 28 020. with exactly one fixed point and in the study of Memoirs of the AMS tangent representations of an action on homotopy Number 262, xii + 124 pages (soft cover) spheres with several fixed points. List price $7 .60, institutional member $5. 70, 1980 Mathematics Scbject Classifications: 57S 17, 57S25, individual member $3.80 57R65, 57R67, 57R85. ISBN 0-8218-2262-4; LC 82-4005 Publication date: May 1982 Memoirs of the AMS To order, please specify MEM0/262N Number 260, xxiv + 119 pages (soft cover) List price $8.00, institutional member $6.00, individual member $4,1)0 ISBN 0-8218-2260-8; LC 81-22829 Publication date: May 1982 CBMS REGIONAL CONFERENCE SERIES To order, please specify MEM0/260N (Supported by the National Science Foundation) GLOBAL STRUCTURAL STABILITY ( ISSN 0160-7642) OF FLOWS ON OPEN SURFACES by Janina Kotus, Michof Krych, and Zbigniew Nitecki BROWN-PETERSON HOMOLOGY: This book is a first step toward extending to non­ AN INTRODUCTION AND SAMPLER compact manifolds the extensive theory of structural by W. Stephen Wilson stability which has heretofore been developed for dy­ The book is divided into three main parts. The namical systems on compact manifolds. The central first is a development of the basic properties of results are analogues for the noncom pact case of Brown-Peterson homology assuming knowledge of Peixoto's theorem, characterizing structurally stable the homotopy and homology of the Thom space, flows on compact manifolds: the first theorem gives MU. Proofs are complete. sufficient conditions for structural stability of a flow The second part is a highly personal sampler of on any surface, while the second theorem proves their Wilson's work with BP in the last decade. This in­ necessity for flows in the plane. The proofs of these cludes stable homotopy, associated homology theo­ theorems, in sections 3-8, are framed by some less ries, Morava's structure theorem, Hopf rings, Morava technical sections: the two opening sections recall vari­ K-theories and a study of the il-spectrum for BP. ous notions of structural stability and give examples In this part a new computation of the homology of to show the motivation for the particular notion Eilenberg-MacLane spaces due to Ravenel and the acopted in this work (a global version of €-stability), author is presented as is Chan's proof of no torsion while the closing section discusses the relation of this in the spaces in the fl-spectrum for BP. Proofs are work to problems concerning second-order o.d.e and rarely given in the sampler. polynomial vectorfields. The third part is a presentation of unpublished CONTENTS work on unstable BP operations. For the student, a 1. Statement of results detailed computation is carried out. 2. Examples and discussion of results This book is primarily directed to graduate stu­ 3. The structure of well-behaved flows dents interested in the field, and, also, to algebraic 4. Perturbation lemmas topologists who wish to learn something about BP. 5. Proof of Theorem A In addition, the calculation of the homology of 6. Transverse sections to planar flows Eilenberg-MacLane spaces may be useful in teaching 7. Generic properties of flows in the plane advanced algebraic topology courses, and the section 8. Necessary conditions for structural stability of on unstable operations is directed at researchers flows in the plane although it is a legitimate continuation of the sam­ 9. Related questions pler. 1980 Mathematics Subject Classifications: 58F10, 34030. 1980 Mathematics Subject Classifications; 55N22; 55-02, SSP20, SSP42. Memoirs of the AMS CBMS Regional Conference Series Number 261, vi + 109 pages (soft cover) List price $6.40, institutional member $4.80, Number 48, vi + 86 pages (soft cover) individual member $3.20 List price $9.20, individual $4.60 ISBN 0-8218-2261-6; LC 81-22941 ISBN 0-8218-1699-3; LC 81-20619 Publication date: May 1982 Publication date: May 1982 To order, please specify MEM0/261 N To order, please specify CBMS/48N

378 SOME RECENT REPRINTS

SOME MATHEMATICAL QUESTIONS THE HP SPACES OF AN ANNULUS IN BIOLOGY, Part I by Donald Sarason edited by M. Gerstenhaber Memoirs of the AMS, Number 56 78 pages (ISBN 0-8218-1256-4) on Mathematics In the Life Sciences, Lectures 1965; reprinted 1982 (soft cover) Volume 2, 156 pages (ISBN 0-8218-1152-5) List price $11.60, institutional member $8.70, reprinted 1982 (soft cover) 1970, individual member $5.80 $14.80, institutional member $11.10, List price To order, please specify MEM0/56 individual member $7.40 To order, please specify LLSCI/2N ALMOST SURE INVARIANCE PRINCIPLES FOR PARTIAL SUMS OF ON STOCHASTIC DIFFERENTIAL EQUATIONS WEAKLY DEPENDENT RANDOM VARIABLES by K. Ito by Walter Philipp and William Stout Memoirs of the AMS, Number 4 Memoirs of the. AMS, Number 161 (ISBN 0-8218-1204-1), 51 pages 140 pages (ISBN 0-8218-1861-9) 1951; reprinted 1982 (soft cover) 1975; reprinted 1982 (soft cover) List price $6.00, institutional member $4.50, List price $12.00, institutional member $9.00, individual member $3.00 individual member $6.00 To order, please specify MEM0/4 To order, please specify MEM0/161N

THEORY OF DISTRIBUTIONS GEODESICS AND ENDS IN CERTAIN FOR LOCALLY COMPACT SPACES SURFACES WITHOUT CONJUGATE POINTS by L. Ehrenpreis by Patrick B. Eberlein Memoirs of the AMS, Number 21 Memoirs of the AMS, Number 199 (ISBN 0-8218-1221-1), 80 pages 111 pages (ISBN 0-8218-2199-7) 1956; reprinted 1982 (soft cover) 1978; reprinted 1982 (soft cover) List price $7.20, institutional member $5.40, List price $11.60, institutional member $8.70, individual member $3.60 individual member $5.80 To order, please specify MEM0/21 N To order, please specify MEM0/199N

EXPANSIONS IN SERIES OF SOLUTIONS BOUNDARY-INTERIOR LAYER INTERACTION OF LINEAR DIFFERENCE-DIFFERENTIAL IN NONLINEAR SINGULAR AND INFINITE ORDER DIFFERENTIAL PERTURBATION THEORY EQUATIONS WITH CONSTANT COEFFICIENTS by F. A. Howes Memoirs of the AMS, Number 203 by Douglas G. Dickson 108 pages (ISBN 0-8218-2203-9) Memoirs of the AMS, Number 23 1978; reprinted 1982 (soft cover) 72 pages (ISBN 0-8218-1223-8) List price $10.40, institutional member $7.80, 1957; reprinted 1982 (soft cover) individual member $5.20 List price $7.60, institutional member $5.70, To order, please specify MEM0/203N individual member $3.80 To order, please specify MEM0/23N EXCEPTIONAL LIE ALGEBRAS AND THE STRUCTURE OF PARTIALLY ORDERED HERMITIAN SYMMETRIC SPACES LINEAR TOPOLOGICAL SPACES by Daniel Drucker by Isaac Namioka Memoirs of the AMS, Number 208 Memoirs of the AMS, Number 24 207 pages (ISBN 0-8218-2208-X) (ISBN 0-8218-1224-6), SO pages 1978; reprinted 1982 (soft cover) 1957; reprinted 1982 (soft cover) List price $12.40, institutional member $9.30, List price $9.60, institutional member $7 .20, individual member $6.20 individual member $4.80 To order, please specify MEM0/208N To order, please specify MEM0/24N IDEALS OVER UNCOUNTABLE SETS: ASYMPTOTIC BEHAVIOR OF SOLUTIONS APPLICATION OF ALMOST DISJOINT OF DIFFERENTIAL-DIFFERENCE EQUATIONS FUNCTIONS AND GENERIC UL TRAPOWERS by Richard Bellman and Kenneth L. Cooke by Thomas jech and Karel Prikry Memoirs of the AMS, Number 35 Memoirs of the AMS, Number 214 95 pages (ISBN 0-8218-1235-1) (ISBN 0-8218-2214-4), 71 pages 1959; reprinted 1982 (soft cover) 1979; reprinted 1982 (soft cover) List price $8.80, institutional member $6.60, List price $8.00, Institutional member $6.00, individual member $4.40 individual member $4.00 To order, please specify MEM0/35 To order, please specify MEM0/214N

379 INTERNATIONAL CONFERENCE ALGEBRAIC GEOMETRY-ARCATA 1974 ON MATHEMATICAL PROBLEMS edited by Robin Hartshorne OF QUANTUM FIELD THEORY Proceedings of Symposia in Pure Mathematics Volume 29, 642 pages (ISBN 0-8218·1429-X) AND QUANTUM STATISTICS, Part II, 1975; reprinted with corrections 1979 Fields and Particles. Mathematical Questions of Reprinted 1982 (soft cover) Statistics List price $39.60, institutional member $29.70, Quantum individual member $19.80 edited by V. S. Vladimlrov To order, please specify PSPUM/29N Proceedings of the Steklov Institute of Mathematics Number 136, 450 pages (ISBN 0·8218·3036·8) 1978; reprinted 1982 (soft cover) ELASTICITY List price $80.00, institutional member $60.00, individual member $40.00 edited by R. V. Churchill To order, please specify STEKL0/136N Proceedings of Symposia in Applied Mathematics Volume 3, 233 pages (ISBN 0-8218-1303-X) RUSSIAN-ENGLISH DICTIONARY 1950; reprinted 1982 (soft cover) SCIENCES List price $31.20, institutional member $23.40, OF THE MATHEMATICAL individual member $15.60 compiled by A. j. Lohwater, with S. H. Gould To order, please specify PSAPM/3N (ISBN 0-8218-0036-1 ), 267 pages 1961; reprinted 1982 (soft cover) List price $12.40, institutional member $9.30 CALCULUS OF VARIATIONS individual member $6.20 To order, please specify RED/N AND ITS APPLICATIONS edited by L. M. Graves APPLICATIONS OF FUNCTIONAL ANALYSIS Proceedings of Symposia in Applied Mathematics PHYSICS Volume 8, 153 pages (ISBN 0·8218-1308-8) IN MATHEMATICAL 1958; reprinted 1982 (soft cover) by S. L. Sobolev List price $26.40, institutional member $19.80, translated by F. E. Browder individual member $13.20 Translations of Mathematical Monographs To order, please specify PSAPM/8N Volume 7, 239 pages (ISBN 0-8218-1557·1) 1963; reprinted 1982 (soft cover) List price $22.40, institutional member $16.80, THE THEORY OF RINGS individual member $11.20 jacobson To order, please specify MMON0/7N by Nathan Mathematical Surveys, Number 2 GLOBAL ANALYSIS, Part I 151 pages (ISBN 0-8218-1502-4) 1943; reprinted 1982 (soft cover) edited by S. S. Chern and Stephen Smale List price $30.40, institutional member $22.80, Proceedings of Symposia in Pure Mathematics individual member $15.20 Volume 14, 367 pages (ISBN 0·8218·1414·1) To order, please specify SURV/2N 1970; reprinted 1982 (soft cover) List price $33.60, institutional member $25.20, individual member $16.80 DEGREE To order, please specify PSPUMI14N FIXED POINTS AND TOPOLOGICAL IN NONLINEAR ANALYSIS DIFFERENTIAL GEOMETRY, Parts 1 and 2 by jane Cronin Scanlon edited by S. S. Chern and R. Osserman Mathematical Surveys, Number 11 (ISBN 0-8218·1511·3) Proceedings of Symposia in Pure Mathematics 198 pages corrections 1972; Volume 27: Part 1, 451 pages; Part 2, 443 pages 1964; reprinted with 1982 (soft cover) 1975; reprinted 1982 (soft cover) reprinted member $19.50, Part 1 (ISBN 0·8218·0247-X); Part 2 (ISBN 0·8218.{)248-8) List price $26.00, institutional Parts 1 and 2 as a set: List price $92.80, individual member $13.00 SURV/11 N institutional member $69.60, individual member $46.40 To order, please specify Part 1 or Part 2 separately: List price $52.00 institutional member $39.00, individual member $26.00 To order, please specify (Set) PSPUMI27N TWENTY LECTURES DELIVERED AT THE (Part 1) PSPUMI27.1 N; (Part 2) PSPUM/27.2N INTERNATIONAL CONGRESS OF LECTURES ON THREE-MANIFOLD TOPOLOGY MATHEMATICIANS IN VANCOUVER, 1974 by William jaco AMS Translations-Series 2, Volume 109 CBMS Regional Conference Series In Mathematics (ISBN 0-8218·3059·7), 129 pages Number 43, 251 pages (ISBN 0·8218·1693-4) 1977; reprinted 1982 (soft cover) 1980; reprinted 1982 (soft cover) List price $28.80, institutional member $21.60, List price $11.00, individual $5.50 individual member $14.40 To order, please specify CBMS/43N To order, please specify TRANS2/109

Prepayment is required for all AMS publications. Order from AMS, P. 0. Box 1571, Annex Station, Providence, Rl 02901, or call toll free SOQ-556-7774 to charge with Visa or MasterCard.

380 Miscellaneous

Personal Items Deaths

Duncan A. Buell of Louisiana State University has Max Henberger of the University of New Orleans been appointed to an associate professorship at that died in Berlin, Germany, on April 9, 1982, at the age university. of 83. He was a member of the Society for 46 years. Bruce H. Edwards of the University of Florida has Hein11 (Henry) Parkus of the Institut fiir Mechanik, been appointed to an associate professorship at that Vienna, Austria, died on March 17, 1982, at the age of university. 73. He was a member of the Society for 27 years. Carolyn Eisele, Professor Emerita of Hunter Selby Robinson of Laguna Hills, California, died College, will receive an honorary degree from Lehigh on May 7, 1981, at the age of 84. He was a member of University on June 6, 1982. the Society for 50 years. Joe McKenna of the University of Florida has The affiliation of J. M. Gandhi, whose death been appointed to an associate professorship at that was reported on page 302 of the April 1982 university. Notices, should have been listed as Western Illinois Mark Teply of the University of Florida has been University. appointed to a professorship at that university. Andrew Vmce of the University of Michigan, Ann Arbor, has been appointed to an assistant professorship at the University of Florida.

CONTEMPORARY MATHEMATICS T. J. Rivlin, The optimal recovery of functions (ISSN 0271-4132) N. j. A. Sloane, Recent bounds for codes, sphere packings and related problems obtained by linear programming and other methods G. S. Watson, Three aspects of the statistics of PAPERS IN ALGEBRA, directions ANALYSIS AND STATISTICS E. C. Zeeman, Bifurcation and catastrophe theory edited by Rudolf Lid/ Twenty-two of the contributed papers are also in­ The papers collected in this volume are modified cluded in this volume on specialist topics in algebra, versions of invited lectures and some contributed analysis and statistics. specialist session papers presented at the 21st Sum­ One of the main strengths of this book is the mer Research Institute of the Australian Mathemati­ introductory and survey nature of some papers, cal Society held at the University of Tasmania from especially Hirzebruch, Pilz, Rivlin, Sloane, Watson, 12th january until 6th February 1981. Zeeman. Articles of high research value are Curtis The 21st Summer Research Institute covered a and Lehrer, Macdonald, Sloane. The papers by wide range of topics in pure and applied algebra, Delbourgo, Elliott, Mendes-France concentrate on a analysis and statistics. Most of the invited lectures narrower topic than the other invited papers. Some were of a survey nature and each week of the Insti­ papers contain expository work (e.g. Pilz, Rivlin, tute was devoted to different subject areas. Invited Zeeman), but the main emphasis is on surveying a lectures reproduced in this volume are: given topic. C. W. Curtis and G. I. Lehrer, Homology representa­ Individuals might gain an insight into a new tions of finite groups of Lie type field due to the introductory nature of some of the R. Delbourgo, Matrix correlation functions papers. They will also get to know the frontiers of D. Elliott, Some aspects of singular Integral equa- current research in some topics. tions-A numerical analyst's viewpoint 1980 Mathematics Subject Classifications: OOA 1 0; 05-06, F. Hirzebruch, Some examples of algebraic surfaces 14-06,16-06,41-06,62-06,94-06 1. G. Macdonald, Lie groups and combinatorlcs Volume 9, xvl + 400 pages (soft cover) List price $20.80, Institutional member $15.60, M. Mendes- France, Paper folding, space-filling curves individual member $1 0.40 and Rudin-Shapiro sequences ISBN 0-8218-5009-1; LC 82-1826 G. Pilz, Near-rings: What they are and what they Publication date: April 1982 are good for To order, please specify CONMI9N Prepayment is required for all AMS publications. Order from AMS, P.O_ Box 1571, Annex Station, Providence, Rl 02901, or call toll free 800-556-1114 to charge with Visa or MasterCard_

381 Visiting Mathematicians

The list of visiting mathematicians includes both foreign mathematicians visiting in the United States and Canada, and Americans visiting abroad. Note that there are two separate lists. American Mathematicians Visiting Abroad Name and Home Country Host Institution Field of S[!ecial Interest Period of Visit Baernstein II, Albert (U.S.A.) Mittag Leffler lnstitut, Sweden Classical Analysis 3/83 . 5/83 Barnes, Bruce A. (U.S.A.) University College of Swansea, Banach Algebras 8/82. 6/83 Wales Berger, Thomas (U.S.A.) University of Auckland, Group Theory 7/82 ·11/82 New Zealand Blair, David E. (U.S.A.) University of Liverpool, England Differential Geometry 9/81 . 8/82 Davis, Donald M. (U.S.A.) University of Warwick, Algebraic Topology 8/82. 1/83 United Kingdom Dixon, J. D. (Canada) Australian National University Group Theory and Theory of 6/82. 8/82 Warwick University, United Algorithms 9/82. 5/83 United Kingdom Dlab, V. (Canada) Kuwaid University Representation Theory 7/82 . 6/83 Doner, John E. (U.S.A.) University of Turin, Italy Mathematical Logic and 4/82 . 12/82 Computational Complexity Fife, Paul (U.S.A.) University of Oxford, England Partial Differential Equations 7/82. 1/83 Fischler, R. M. (Canada) University of Paris I, France History of Mathematics, 8/82. 6/83 Mathematics and Aesthetics Gould, Floyd J. (U.S.A.) University of Paris IX, France Applied Mathematics and 1/82 . 7/82 Management Science Gray, Brayton (U.S.A.) Universidad Nacional de Mexico Odd Primary Homotopy Groups 1/83 . 6/83 Gross, Leonard (U.S.A.) E. T. H., Switzerland Gauge Fie! d Theory 5/83 . 6/83 Hopenwasser, Alan (U.S.A.) University of Oslo, Norway Operator Algebras 9/82 . 6/83 lsamil, Mourad E. M. (U.S.A.) Kuwait University Special Functions 2/82. 7/82 Jensen, Gary R. (U.S.A.) Universite de Nancy I, France Differential Geometry 8/82. 8/83 Lascu, Alexandru (Canada) Universita Degli Studi, Italy Algebraic Geometry 6/82. 5/83 Lichtenbaum, Stephen (U.S.A.) University of Paris (Orsay), France Algebraic Number Theory 7/82. 8/83 Magnus, Arne (U.S.A.) University of Trondheim, Norway Approximation Theory 8/82. 5/83 Newman, Charles (U.S.A.) Hebrew University, Israel Mathematical Physics and 4/83 . 7/83 Probability Theory Onneweer, C. W. (U.S.A.) National University of Singapore Harmonic Analysis 7/82. 6/83 Raghavan, T. E. S. (U.S.A.) Catholic University, Algorithms for Stochastic Games 9/82 . 12/82 The Netherlands India Ramanujan Institute, Game Theory 12/82 . 1/83 Indian Statistical Institute Differential Games 1/83 . 6/83 Reich, Edgar (U.S.A.) E. T. H., Switzerland Complex Analysis 9/82. 6/83 Reyes, Gonzalo (Canada) State University of Utrecht, Logic 6/82 • 5/83 The Netherlands Rushing, T. Benny (U.S.A.) Universidad Nacional Aut6noma Geometric Topology 8/82 . 9/82 de Mexico University of Zagreb, Yugoslavia 4/83. 5/83 Sabidussi, Gert (Canada) Graz University, Austria Graph Theory 6/82 . 5/83 University of Oxford, England Sarndal, Carl (Canada) University of Stockholm, Sweden Statistics 8/82 . 12/82 Shore, Richard (U.S.A.) Hebrew University, Jerusalem Logic, Recursion Theory 8/82 . 7/83 Silverstein, Martin (U.S.A.) France University of Strasbourg, Probability 9/82 • 9/83 Stanton, Nancy K. (U.S.A.) I. H. E. S., France Several Complex Variables, 9/82. 1/63 Sonderforschungsbereich, Bonn, Differential Geometry Federal Republic of Germany 2/83. 8/83 Stanton, Charles M. (U.S.A.) I. H. E. S., France Complex Analysis, Differential 9/82. 1/83 Sonderforschungsbereich, Bonn, Geometry Federal Republic of Germany 2/83 . 8/83

Takahashi, Shuichi (Canada) University of Tokyo, Japan Algebra 6/82. 5/83

382 Period of Visit Name and Home Countr~ Host Institution Field of Special Interest Tan, P. (Canada) University of Dar-es-Salaam, Decision Theory 7/82. 12/82 Tanzania Tartakoff, David S. (U.S.A.) University of Florence, Italy Partial Differential Equations 3/83. 6/83 and Several Complex Variables Taylor, Joseph L. (U.S.A.) University of New South Wales, Abstract Analysis 1/83 • 6/83 Australia Trubowitz, Eugene {U.S.A.) E. T. H., Switzerland Scattering Theory 9/82. 8/83 Victory, Harold Dean, Jr. Johann Wolfgang Goethe· Applied Mathematics, Transport 9/82. 8/83 (U.S.A.) Universitlit, Federal Republic Theory of Germany Zachmann, David (U.S.A.) C. S. I. R. 0., Australia Applied Analysis 1/83 . 7/83 Visiting Foreign Mathematicians Anderson, Milne A. (England) University of Virginia Complex Analysis 9/82. 6/83 Avila, Geraldo S. S. (Brazil) New York University, Courant Partial Differential Equations 9/82. 8/83 Bemelmans, josef (Federal University of Minnesota Free Boundary Problems 1/82. 9/82 Republic of Germany) Benci, Vieri (Italy) University of Wisconsin, Madison Partial Differential Equations 9/82. 5/83 Birnir, Bjorn (Iceland) University of Arizona Algebraic Geometry 8/81 . 6/83 Borgersen, Hans E. (Norway) University of California, Algebraic Topology 8/82. 7/83 Santa Barbara Brezis, Haim (France) Princeton University Partial Differential Equations 2/83. 5/83 University of Minnesota 5/83 . 6/83 Brylinski, jean·Luc (France) University of Maryland Algebraic Geometry 8/82. 1/83 Chaber, jozef (Poland) Auburn University Topology 9/82. 9/83 Christodoulou, Demetrios New York University, Courant Partial Differential Equations 9/82. 6/83 (Greece) Cohen, Henri (France) University of Maryland Number Theory 8/82. 1/83 Da-Long, jia (People's Illinois Institute of Technology Software and Optimization of 8/82. 5/83 Republic of China) Systems DaPrato, Giuseppe (Italy) University of Maryland Partial Differential Equations 8/82. 6/83 Ding, Yihua (China) University of Georgia Reliability 3/82. 3/84 Doblare, Manuel S. (Spain) New York University, Courant Functional Analysis 9/82. 8/83 EI-Sayyad, Galal M. University of California, Statistics 9/82. 6/83 (Saudi Arabia) Santa Barbara Enns, V. (Federal Republic California Institute of Technology Mathematical Physics 3/83. 5/83 of Germany) Faierman, M. (South Africa) New York University, Courant Scattering Theory 9/82. 1/83 Faraut, jacque {France) Washington University, St. Louis Analysis 9/82. 9/83 Gaier, D. (Federal Republic California Institute of Technology Complex Analysis 1/83 . 4/83 of Germany) Gan, Shixin (People's Lehigh University Analysis and Probability 8/82. 2/83 Republic of China) Gandulfo, Roberto (Brazil) Washington University, St. Louis Harmonic Analysis 9/82. 6/83 Ganguly, Dllip K. (India) Lehigh University Real Analysis 8/82. 7/83 Ge, Guangping (People's City University of New York, Statistics 2/82. 2/83 Republic of China) Graduate Center Goddard, Peter (England) University of Virginia Mathematical Physics 1/83. 5/83 Gramsch, F. B. (Federal California Institute of Technology Functional Analysis 10/82. 4/83 Republic of Germany) Grize, Fran~ois (Switzerland) New York University, Courant Computer Science 9/82. 8/83 Hua, L. K. (People's Republic California Institute of Technology Number Theory 10/82 . 10/83 of China) lmayoshi, Yoichi (Japan) Cornell University Riemann Surfaces, Complex Manifolds 9/82. 6/83 Ismail, Hassan N. A. (Egypt) New York University, Courant Applied Mathematics 2/82. 1/83 Janssen, Paul (Belgium) Johns Hopkins University Probability, Statistics 1/83 . 6/83 )arret, Richard (Australia) University of Waterloo Statistics 1/82 . 9/82

383 Name and Home Country Host Institution Field of Special Interest Period of Visit Kemp, Peter {England) University of Delaware Scientific Computing 9/82- 8/83 Kipnis, Claude {France) New York University, Courant Probability 9/82- 2/83 Konig, H. {Federal Republic California Institute of Technology Functional Analysis 11/82 - 4/83 of Germany) Kuka, A. 0. {Nigeria) Queen's University Algebraic K-Theory 5/82 - 9/82 Lehto, Olli {Finland) University of Minnesota Complex Analysis 9/82 - 12/82 Liebowitz, Elhanan {Israel) Arizona State University Relativity Theory 1/81 - 5/82 Lindley, Dennis V. {England) George Washington University Bayesian Statistics 9/82 - 12/82 Lukas, Mark (Australia) Colorado State University Applied Analysis 8/82- 5/83 Majeed, Abdul {Pakistan) Carleton University Group Theory 3/82- 8/82 Marcus, Moshe M. {Israel) Carnegie-Mellon University Partial Differential Equations 8/82- 8/83 and Calculus of Variations Mawhin, jean (Belgium) Colorado State University Nonlinear Functional Analysis 7/82 - 8/82 and Differential Equations Meertens, Lambert New York University, Courant Computer Science 9/82. 8/83 (The Netherlands) Mine, Piotr {Poland) Auburn University Topology 9/82- 9/83 Nagel, Rainer j. {Federal University of California, C*-algebras and Banach Lattices 10/82- 2/83 Republic of Germany) Santa Barbara Nocedal, jorge {Mexico) New York University, Courant Numerical Optimization 9/82 - 12/82 Olive, David {England) University of Virginia Mathematical Physics 9/82- 9/83 Parthasarathy, Rajagopalan University of Utah Representation Theory of 9/82- 7/83 {India) Semisimple Lie Groups Peitgen, Heinz-Otto (Federal University of Utah Nonlinear Functional Analysis 9/82 - 7/83 Republic of Germany Functional Differential Equations and Topological Fixed Point Theory Poston, Timothy {Great Britain) Medical University of South Catastrophe Theory, Geometry 10/82 - 10/83 Carolina Prakash, Chetan (India) University of California, Irvine Analysis 7/81 - 6/83 Ramanan, S. (India) Queen's University Algebraic Geometry 1/83 . 8/83 Richardson, Roger W. University of Notre Dame Algebraic Groups 3/83 - 6/83 (Australia) Rubin, Matatyahu {Israel) University of Wisconsin, Madison Mathematical Logic 9/82 - 5/83 Ruf, Bernhard {Switzerland) New York University, Courant Partial Differential Equations 9/82- 8/83 Sirhan, Mahmoud A. University of California, Multipoint Boundary Value Problems 8/82. 7/83 {Saudi Arabia) Santa Barbara Schoning, Uwe {Federal University of California, Computational Complexity Theory 1/83 . 6/83 Republic of Germany) Santa Barbara Sinha, Bikas K. {India) North Carolina State University Survey Sampling, Design and Analysis 1/82 - 12/82 of Experiments, Multivariate Statistical Analysis Strebel, Ralph {Switzerland) Cornell University Group Theory 9/82- 6/83 Terao, Hiroaki {Japan) University of Wisconsin, Madison Algebraic Geometry 9/82- 5/83 van Lint, j. {The Netherlands) California Institute of Technology Number Theory, Combinatorial 9/82- 7/83 Analysis Worsey, Andrew j. University of Utah Computer Aided Geometric Design 9/82 - 7/83 {Great Britain) Yang, Shang-jin {People's University of Missouri, Kansas City Linear Algebra 1/82- 1/83 Republic of China) Zabrodsky, Alexander {Israel) Princeton University Algebraic Topology 9/82 - 1/83

384 Acknowledgement of Contributions

The officers and the staff of the Society acknowledge with gratitude gifts and contributions received during the past year. The inside cover of each issue of Mathematical Reviews carries the names of the sponsoring societies which support that publication. Contributing members of the Society paid dues of $72 or more. In addition to contributions to the AMS Research Fellowship Fund, there were a number of unrestricted general contributions. Some of the contributors have asked to remain anonymous. All of these gifts provide important support for the Society's programs. The names listed below include those whose contributions were received during the year ending March 31, 1982.

CONTRIBUTING MEMBERS

Abbott, James H. Earle, Clifford J., Jr. Kaplan, Wilfred Oertly, Aida F. Taylor, Michael E. Woolf, William B. Adams, Elliott T. Ecklund, Earl F., Jr. Kautzmann, Frank N., Ill Orlik, Peter P. Tellefsen, Carl R. Wright, Robert K. Akemann, Charles A. Ellis, James W. Kelly, John B. Ortner, Gene M. Tsao, Sherman Amir-Moaz, Ali R. Ellis, Robart L. Kendall, Richard P. Otermat, Scott C. Yahya, S.M. Andrews, George E. Epstein, D. I. Kiefer, James E. Voege, Herbert W. Young, Gail S. Epstein, Irving J. Killeen, John Palais, Richard S. Apostol, Tom M. Zalcman, Lawrence A. Kimma, Ernest G. Palmer, Theodore W. Watson, Harry A., Jr. Assmus, Edward F., Jr. Zelinsky, Daniel Fodell, Edward R. Kist, Joseph E. Paradise, Michael E. Wendroff, Burton Ziebur, Allen D. Farrell, Roger H. Knuth, Donald E. Peabody, Mary K. Bauer, Frances B. White, George N., Jr. Zink, Robert E. Baugh, James R. Fass, Arnold L. Kopala, Conrad Pearson, Robert W. Whitmore, William F. Baumslag, Gilbert Foster, Cheryl A. Krueger, Charles G. Wilkins, J. Ernest, Jr. Anonymous (2) Francis, Eugene A. Rakestraw, Roy M. Beals, Richard W. Kunen, Kenneth Wilson, Robert Lee Redheffer, Raymond M. Beck, William A. Woeppel, James J. Galuten, Aaron Laning, J. H. Roes, Carl J. Beechler, Barbara J. Wolfe, Stephen James Gleason, Andrew M. Leger, George F. Reese, Matthias F. Berkovitz, Leonard D. Gordon, Hugh Lemay, William H. Rich, Ellis J. Bing, R. H. Gould, Henry W. Lenard, Andrew Riney, John S. GENERAL CONTRIBUTIONS Booth, George W. Grace, Edward E. LeVeque, William J. Rosa, Donald C. Beck, Allan F. Graves, Robert L. Rosenblum, Marvin Carson, Robart C. Mamelak, Joseph S. Blackman, R. B. Greif, Stanley J. Ross, Kenneth A. Chafee, Nathaniel Mann, W. Robert Delanco, Philippe Gromov, Mikhael Rovnyak, James L. Chihara, Theodore S. Mansfield, Maynard J. Galuten, Aaron Guggenbuhl, Laura Rykken, Charles John Chinn, William G. Marking, Michael P. Gottschalk, Walter H. Guillot, J. C. Clifford, Alfred H. Haddad, George F. B. Mattson, H. F., Jr. Sally, Paul J., Jr. Hartnett, William E. McConnell, Robert K. Hartnett, William E. Cohen, Henry B. Samit, Jonathan Hellekalek, Peter Julius Cohn, Richard M. Hassinger, Bill, Jr. McCready, Robert R. Sawyer, Stanley A. Mader, Albert E., Jr. Horrell, Jonathan Buxton Coleman, A. John Horwitz, Paul S. Selfridge, John L. Miller, W. F. Krueger, Charles G. Conley, Charles C. Hironaka, Heisuke Seligman, George B. Mislin, Guido Leger, George F. Conner, Pierre E., Jr. Hochstadt, ~arry Sexauer, Norman E. Hochster, Melvin Moore, Richard A. Meder, Albert E. Jr. Corrigan, Thomas Carney Shields, Allen L. Mogull, Edith S. Horrell, Jonathan Buxton Morawetz, Cathleen S. Cullen, Daniel E. Shirali, Salish Niven, Ivan Horrigan, Timothy J. Morray, Charles B., Jr. Cullen, Helen F. Siemon, Michael L. Rothrock, Jack H. Howe, Roger E. Sinke, Carl J. Shirali, Salish Hufford, George A. Naimpally, Daverman, Robert J. Stakgold, lvar Steck, Leah G. Hunt, Richard A. Somashekhar A. DaFacio, Brian Najfeld, Igor Starkey, Joel B. Thayer, Philip H. Jr. Hutchinson, George A. DeFrancesco, Henry F. Noshed, M. Zuhair Sternberg, David Waterhouse, William C. DeMarr, Ralph E. Ingraham, Mark H. Newman, Morris Strauss, Frederick B. Wilkins, J. Ernest Jr. Dinneen, Gerald P. Nishiura, Togo Sullivan, Richard W. Anonymous (2) Donoghue, William F., Jr. Johnson, Roy A. Nohel, John A. Swokowski, Earl W.

CORPORATE MEMBERS AND INSTITUTIONAL ASSOCIATES The Society also acknowledges with gratitude the support rendered by the following corporations, who held either Corporate Memberships or Institutional Associateships in the Society during the past year.

CORPORATE MEMBERS INSTITUTIONAL ASSOCIATES Bell Laboratories Princeton University Press General Motors Corporation Prindle, Weber & Schmidt International Business Machines Corporation Springer-Verlag New York Incorporated Rockwell International Springer-Verlag, Heidelberg Daniel H. Wagner, Associates

385 AMS RESEARCH FELLOWSHIP FUND

Abadie, Jean M. Axelsson, Reynir Bailey, J. M. Castro, Antonio de Daeba, Elias Yacoub Eskin, Gregory Abbott, James H. Azamia, Nazanin Ballow, Alexandra Cecil, Thomas E. DaFacio, Brian Faith, Carl Ab~Khuzam, Faruk Fuad Azoff, Edward A. Banadict, James M. Cerda, Joan Dekker, Jacob C. E. Faris, William G. Ablow, Clarence M. Bankert, Georgia M. deCesare, Kenneth M. Delange, Hubert Farrer, Brian H. Abrahamson, David Lee Bachman, George Berg, Howard Z. Chalmers, Graham D. Dalanoe, Philippe Foss, Arnold L. A'Campo, Norbert Bachmuth, Seymour Barger, Alan E. Chang, Chao P. Deleon, Morris Jack Fathi, Albert Adams, Elliott T. Baderian, Armon Robert Bargman, George M. Chatfield, John A. Daloff, Edward D. Faferman, Solomon Adams, J. Frank Baernstein, Albert, II Barman, Gerald Chen, Concordia C. DaMarr, Ralph E. Fagan, H. D. Adeniran, Tinuoye M. Baham, Alney A. Barner, Andrew J. Chen, Goong Damko, Stephen Faichtinger, Hans Georg Aissan, Michael!. Boker, Alan Bars, Lipman Chen, W. W. L. Dant, Elliod Fain, Burton I. Aizenman, Michael Baker, Charles R. Barstein, Israel Chernoff, Paul R. D'Entremont, Robert Paul Fait, Walter Alexander, James Balas, John W. Barterman, John E. Chiang, Peter H. S. Dettman, John W. Faldman, Jacob Alexander, John R., Jr. Ball, Joseph A. Bertin, Emile M. Chihara, Theodore S. Daturck, Dennis Fanchel, Werner Alexander, Stephania B. Ballantine, Charles S. Betsch, Gerhard Chinn, William G. Davault, John L. Fandrich, John W. Ali, M. Kurshaed Balser, Arienne S. Bauker, F. Choksi, Jal R. Deveney, James K. Ferguson, Alif, Metod Bandle, Catherine Bielak, Richard Chow, Pao-Liu Devito, Carl L. Holeman Rolfe Pratt A~Jarrah, Radwan A. Banerjee, Utpal Bierly, Donald L., Jr. Chrestenson, Hubert E. Dawdney, A. Keewatin Farris, Ian M. Allan, J. Thomas Barbeau, Edward J., Jr. Biarstedt, Klaus D. Chu, Tianchen Daza, M. Farro, Ruggero Alonso-San Roman, Barety, Julio Edgardo Biggs, Norman L. Church, Philip T. Diaconescu, Radu Fashbach, Mark F. Mayra Bari, 1uth A. Billers, Louis J. Churchill, Richard C. Diamond, Harold G. Fauerbechar, Gary A. Alparin, Jonathan L. Barker, Bingham, Christopher Ciarlat, Philippa G. Diederich, Klas Fine, Benjamin Alpart, Dobra Ann William Hamblin, II Birch, Bryan J. Clarke, Bob W. Di Maio, Giuseppe Finkelstein, Laib Alspach, Dale E. Barnes, Robert F., Jr. Birman, Joan 5. Clifford, Alfred H. Di Paola, Jane W. Fitting, Malvin C. Amayo, Ralph Beron, John J. Bisson, Terrence Paul Cobham, Alan Divis-Poracke, Zita M. Fitz-Gerald, Gary F. Anacker, Steven E. Barrett, Andrew Victor Blackmore, Danis L. Cochran, James A. Dixon, Michael J. Fitzpatrick, Ban, Jr. Anastasio, Salvatore Berrett, Lido K. Blake, Louis H. Cody, William F., Jr. Doberket, Ernst-Erich Fixman, Uri Ancel, Fredric Davis Berros-Nato, Jose Blanchet, Piarre Cohen, Amy Dodson, B. Flaherty, Francis J. Anderson, Bartil Bartick, Philip R. Boardman, John M. Cohan, Elaine Dollard, John D. Flahive, Mary Gour Anderson, Douglas R. Baruch, Harbert M., Jr. de Boor, Carl Cohan, Frederick R. Dolph, Charles L. Flanders, Harley Andrews, George E. Batt, Jiirgan 0. Boos, William Cohan, Henry B. Domino, Laurence E. Floret, Klaus Andrus, Gary F. Battaglia, Victor John Booth, George W. Cohen, Harman J. Dou, Alberto M. Foglio Susana, F. L. de Anshel, Michael Batterson, Steven L. Bosch, Carlos Giral Cohan, Marshall M. Douglas, Ronald G. Foiat, Ciprian Ilia M. Bauer, Frances B. Bozonis, Petros Cohen, Mosas E. Douglis, Avron Apostol, Tom Folland, Gerald B. Appell, Jiirgen Baxter, James A. Bramson, John D. Cohn, Richard M. Dowars, J. F. Fong, Ch&-Kao F. Bayo, Enrique Brauer, Fred Cole, Charles A. Downes, Virginia L. Arenstorf, Richard Fong, Paul Aribaud, F. Bazar, Jack Brauer, George U. Cole, Paul Dana Downay, Charlas P. B. Francis, Bruce A. Arkowitz, Martin A. Beard, Jacob T. B., Jr. Brauner, Claude-Michel Comenetz, Daniel Downum, Philip Jean J. Francis, Eugene A. Arlinghaus, Sandra L. Beck, Jonathan M. Brechner, Beverly L. Comfort, W. Wister Drabbe, Jr. Franke, Deborah L. Arms, Judith M. Backer, Eberhard Brennan, Michael D. Conner, Pierre E., Drasin, David M. Friedman, Sy D. Askey, Richard A. Backer, Stanley J. Brent, Richard P. Conrad, Bruce P. Dudlay, Richard T. Duma, Andrei Frohardt, Daniel E. Au, C. H. E. Beechler, Barbara J. Brooks, Robert M. Coonan, Jerome Duncan, Richard D. Frohlich, Jiirg M. Aull, Charles E. Bahncka, Horst Brothers, John E. Cordero, Luis A. William Constantin Duren, William L., Jr. Frueh!, Robert W. Auslander, Bernice L. Balbruno, E. A. Browder, Corduneanu, A. Duskin, John W., Jr. Fuchs, Wolfgang H. Auslander, Maurice Ball, Andrew M. Brown, Anne E. Cornelius, Thomas Brown, Edgar H., Jr. Cornet, H. Dyson, Verena H. Fukawa, Masami Avila-Murillo, Farnando Bellamy, David P. Brown, J. James Correa Soto, Ramon Fusaro, B. A. Brown, Lawrence G. Corwin, Lawrence J. Earle, Clifford J., Jr. Gabber, Ofer AMS RESEARCH FELLOWSHIP FUND Brown, R. E. Cotsaftis, Michel Eberlein, Patrick Barry Ecklund, Earl F., Jr. Gaier, Dieter IN MEMORY OF DONALD P. UNG Browne, H. Nelson, Jr. Cowen, Michael J. Bruna, Joequim Cowling, Michael G. Edmonds, Allan L. Gallier, Jean H. Beck, Allan F. Oscar Bruno, Vincent J. Cox, David A. Edrei, Albert Gandulfo, Roberto Blackman, R. B. and Mary W. Crane, George E. Efroymson, Gustave A. Ganelius, lord H. Danielson, Warren E. Bryant, Billy F. Budnik, Paul, Jr. Cravetz, Allan E. Ehrlich, Gertrude Gani, Joseph M. Fitzwilliam, James W. Ehrlich, Paul Ewing Gantos, Richard L. Hoover, Charles W., Jr. Buianouckes, Francis R. Cross, James J. Bunce, John W. Cross, Myrle V., Jr. Eilenberg, Samuel Garbutt, Max Owen Shaw, Otis M. F. Burckal, Robert B. Cross, Ronald W. Eiseman, Patar R. Garrett, Ronald Thayer, Philip H., Jr. A. Burgess, C. Edmund Crossley, Sterling G. Eisenbud, David Gartenberg, Philip Winter, Charles Jr. Burgheloa, Dan Cullinane, Steven Eklund, Anthony D. Gasper, George, Luigi IN MEMORY OF EINAR HILLE Burkholder, Donald L. Currier, Albert W. Eldridge, Klaus E. Gatteschi, Peabody, Mary K. Burmeister, Peter Curtis, Charles W. Elia, Michele Gaudafroy, Alain Burns, Daniel M., Jr. Cushing, Jim M. Elliott, David L. Gautschi, Walter IN MEMORY OF GEORGE WHAPLES M. Burr, Stefan A. Elliott, George A. Genensky, Samuel Connors, Edward A. Butts, Thomas R. Dada, Everett C. Elliott, Joanna Geoghegan, Ross Department of Mathematics, Butzer, Paul L. Dadok, Jiri Elliott, Sheldon E. Gerber, Marlies University of Notre Dame Byrnes, James S. Damkohlar, Wilhelm L. Elmendorf, Anthony D. Gerig, Stephan R. Department of Mathematics and Statistics, D'Angelo, John P. Eloe, Paul W. Gerisch, Wolfgang University of Massachusetts, Amherst Cadogan, Charles C. D'Archangelo, Enderton, Harbert B. Geronimo, Jaffrey S. Gottschalk, Walter H. Cahill, Rotreut G. James Michael Engber, Michael Gershanson, Hillel H. Humphreys, James E. Cain, Bryan E. D'Aristotle, Anthony J. Engle, Jessie Ann Gerstenhabar, Murray Peral, William M. Caldar6n, Alberto P. D' Attorra, Leonardo Ensey, Ronald J. Getu, Sayoum Whaplas, Miriam K. Caldwell, Roderick P. C. Daverman, Robert J. Epstein, D. I. Gill, Teppar L. Yang, Kun!t Wei Campbell, L. Andrew Davila, Norma Epstein, Irving J. Gilman, Jane P. Zorn, Max A. Carr, Ralph W. Davis, Edward D. Ercolano, Joseph L. Giovannitti, Anthony J. Anonymous (1) Cartiidge, James M. Dadiu, Mihai Erdman, John M. Girbau, J. Castellet, Manual Dadiu, Sofia Ericksen, Wilhelm S. Givant, Steven R.

386 AMS Rutorch Ftollowohip Fund (Continued}

Glass, A. M. W. Holgason, Sigurdur Janus, Ellen 0. Kotzen, Marshall J. Lopez-Escobar, Mizol, Victor J. Glass, Michael S. Holler, Barbara Ruth Janusz, Gerald J. Kotzig, Anton Edgar G. K. Mochizuki, Horace Y. Glazebrook, James F. Hempel, John P. Jerison, Meyer Kowalski, Richard A. Louhivaara, llppo S. Mohamed, Saad Gleason, Andrew M. Henderson, Jockusch, Carl G., Jr. Kra, Irwin Louton, Tom Moite, Sally M. Glenn, Paul G. Francis McVoy John, David J. Kramar, Thomas R. Lubin, Jonathan D. Monsky, Paul H. Glicksberg, Irving L. Hensley, Douglas A. Johnson, Charles N. Krasner, Marc Luchins, Edith H. Montgomery, Hugh L. Glyptis, Nicholas Horfort, Johnson, Krause, Ralph M. Luocking, Daniel H. Montgomery, Peter L. Goalman, Don Wolfgang Norbert D. Randolph, Jr. Kravitsky, Naftali Luttorodt, Clement Henry Monticone, Leone C. Goldhaber, J. K. Hernfann, Robert Johnson, Roy A. Krishnaprasad, P. S. Luxemburg, Mooney, John J. Goldschmidt, David M. Hernandez, Horacia Johnson, William A. Kunen, Kenneth Wilholmus A. J. Moore, Richard A. Goldstein, Jerome A. Herrick, Donna Jones, David Arthur Kurata, Yoshiki Morales F, Bernardo R. MacCiuer, Charles R. Goldstein, Norman J. Herzog, Emil R. Jongen, Hubertus Th. Kuroda, S. T. Morgan, Christopher L. MacGillivray, Golubitsky, Martin Heuer, Gerald A. Jonsson, Bjarni Kurshan, Robert P. Morgan, Louise F. Archibald D. Gomi, Kunia Hilbert, Staphen R. Jorgenson, P. E. T. Kurss, Herbert Morrison, John A. MacGregor, Thomas H. Goodman, Roo W. Hill, Nad W., Jr. Joyce, David E. Kurtzke, John F., Jr. Morse, Burt J. Mac Lane, Saunders Goodman, Victor Hill, Stephen D. Jurzysta, Sonja H. Kyusojin, Akira Moschovakis, Joan Rand Magerl, G. Goodrich, Suzanne Dingo Hilton, Peter J. Justice, James H. Moschovakis, Yiannis N. Ladorman, Jack Mahar, T. Gordon, Carolyn S. Hinohara, Yukitoshi Mosier, Ronald G. Jeffrey C. Maher, David P. Gordon, Robert Hirano, Tetsutaro Kahane, Jean-Pierre Lagarias, Mostort, P. S. John E. Makkai, Michael Gordon, William J. Hochschild, Gerhard P. Kahn, Donald W. Lagnoso, Mostow, George D. Laha, Radha G. Malkevitch, Joseph Gorenflo, Rudolf Hochstor, Melvin Kahn, Peter J. Mostow, Mark A. Laing, Nancy Malkus, David Starr Gorenstein, Daniel Hockett, Kevin G. Kalia, R.N. Muhly, Paul S. Landau, Henry J. Mamolak, Joseph S. Gosselin, John A. Hodgson, Jonathan P. E. Kalisch, Gerhard K. Mulla, Fuad S. Landor, Felix I. Manjarrez, Victor M. Gould, Henry W. Hoado, Cornelio Kallman, Ralph A. Mullin, Albert A. E., 111 Mann, Benjamin M. Grace, Edward E. Hofer, Robart D. Kolton, N. J. Lanford, Oscar Mullis, Robert Harvey, Jr. P. Langonhop, Carl E. Maratho, Kishoro B. Grad, Harold Hoffman, Jerome William Kamp, William Munkholm, Hans J. D. Langston, Michael David Marchand, Margaret 0. Graffi, Dorio Holt, Margret H. Kann, Edgar Murakami, Shingo Dhandapani Lanzano, Paolo Margolis, Stuart W. Graham, Colin C. Holmes, Charles S. Kannan, Muse, Archie Henry Yoshikazu Lapidus, Arnold Margulies, William Gray, Robert E. Holmes, John P. Karamatsu, Muto, Yosio Lapidus, Michel L. Marin, Francisco L. Groan, James A. Horowitz, Maurice Karch, Paul T. Myers, Earle F. Laplaza, Miguel L. Marla, Charles Michael Greenberg, Ralph Horrell, Jonathan Buxton Karch, Richard R. Myers, William H. Jean Martelli, Mario Umberto Groene, Robert E. Horvath, John M. Karle, Jerome Larson, Los A. Larson, Richard G. Martin, Harold W. Nababan, Sahala Gregor, Karl Hotzol, Eckohart Karlovitz, William E. Lasher, Sim Martin, Haydon Garth Nadel, Mark E. Gretsky, Nail E. Howard, Michael L. Kaufman, John P. Lashof, Richard K. Maruyama, Toru Nagano, Tadashi Griffin, E. L., Jr. Howe, Roger E. Kavanagh, Laush, George Maskit, Bernard Nagisotty, Rao V. Griffiths, H. Brian Hsia, J. S. Keane, M.S. Lawrence, John W. Mather, John Norman Nagle, R. Kent Grivol, Pierro P. Hsing, Doh-Phone Kung Keisler, Michael Kollar, Joan-Pierre Lax, Peter D. Mathis, Darrell L. Naimpally, Gromoll, Dotlof Hsiung, Chuan C. L. Lay, Torry L. Mathson, Ronald M. Somashekhar A. Grone, Bob Huard, James G. Kelley, Robert Kemporman, Johan H. B. Lazard, Michel P. Matsumura, Hideyuki Nakano, Kazumi Gross, Benedict Hyman Hudson, D. L. Lazor, Alan C. Mattuck, Arthur P. Nakano, Shigeo Grossman, Edward H. Hudson, Richard H. Kennedy, Maurice Kennison, John F. Leary, Kevin J. May, E. Lee, Jr. Narcowich, Francis J. Grossman, Marvin W. Huebschmann, Johannes Kent, George A. Lebow, Arnold May, J. Peter Noshed, M. Zuhair Grover, John Moss Huet, Denise Kosten, Harry Lebowitz, Joal L. May, Ralph Martin Nathanson, Melvyn B. Grubb, Gord Hughes, Anthony Keys, Charles David Le Cam, L. M. Mazur, Barry Nayer, Brij M. Gualtiorotti, A. F. Hughes, Rhonda J. Khalimsky, Leo, Chong-Ming McAndrew, Anthony P. Neeb, Donna M. Guerra, T. Armando Hughes, Richard P., Jr. Efim Davidovich Lee, Do-won McCarthy, Donald J. Nelligan, John D. Guillot, J. C. Hughes, Ruth L. Kiefer, James E. Lee, Gun-Won McConnell, John C. Nelson, Edward Gulden, S. L. Huh, Won Killeen, John Lee, Rosalyn S. McConnell, Robert K. Nelson, Larry D. Gulliver, Robart D., ll Huibregtse, Mark E. Kimn, H. J. Leemans, H. W. McCoy, Thomas L. Nelson, Paul, Jr. Gutknecht, Martin H. Hulkowor, Neal D. Kimura, Tatsuo Leep, David B. McCracken, Neumann, Bernhard H. Huneke, Craig L. King, Donald R. Lohner, Joseph Marjorie Frost Novai, Paul G. Haag, Vincent H. Huneke, John Philip King, James R. Loipholz, Horst Hormann McCready, Robert R. Newman, Morris Haber, Seymour Husain, Tagdir Kirchbrabor, Urs Eduard McCullough, Darryl Nicholas, Eugene D. Hackenbroch, Wolfgang Hutchinson, George A. B. Kishi, Masanori Leitzel, James R. C. McGehee, 0. Carruth Niefield, Susan B. Hackler, Donald Hutchison, William G., Jr. Haimo, Deborah Topper Klass, Michael J. Leitzel, Joan P. McGibbon, Charles A. Ninomiya, Nobuyuki Haimo, Franklin larrobino, Anthony A., Jr. Kloisli, H. Leland, Kenneth 0. McGregor, James L. Nirenberg, Louis Jr. Hale, David R. ldowu, Elayne A. Kloppnor, Adam Lontin, Andre McLeod, Edward B., Nishiura, Togo Helin, Rudolf J. G. lei, Yutaka Knill, Ronald J. Leonard, Philip A. Mcleod, Robert M. Nohol, John A. Hall, Gail Rebecca lha, Franklin T. Kober, Wolfgang Lopowsky, James I. McMillan, Daniel R., Jr. Noor, Khalida lnayat Hall, Marshall, Jr. Ikeda, Masatoshi G. Koch, Richard M. Levin, Jacob J. McOwen, Robert C. Nyikos, Peter J. Hammer, F. David lmai, Masataka Koolbig, Kurt Siogfriad Levine, Harold I. Meisner, Morris J. Obata, Mario Hammond, William F. lmrich, Wilfriad Kohler, Peter Levine, Jerome P. Melrose, R. B. Obi, Wilson C. Hamstrom, Ioakimidis, N. L Kohn, John Lewis, John A. Morriell, David W. Paul R. O'Connor, Anthony J. Mary-Elizabeth Isaacs, Godfrey L. Kahn, Robert V. Lewis, L. Gaunce, Jr. Moyer, Robert K. O'Connor, M. Lesley Hano, Jun-lchi Isaacs, I. Martin Kolaitis, Phocion G. Libgobor, Anatoly S. Moyer, Odlyzko, Andrew M. Harbater, David lshimoto, Hiroyasu Kolesar, R. J. Lichnerowicz, Andre Moyer, William H. L. Oohmko, Robart H. Hardt, Robert M. lskander, Awad A. Kollmor, Heinrich Liob, Elliott H. do-Michele, Leonede Watanabe Oertly, Aida F. Harish-Chandra Ita, Kiyosi Kolman, Bernard Lieberman, David I. Michiaki, David Oguchi, Kunio Harrell, Evans M. Ito, Noboru Kolodnar, Ignace!. Lightbourne, Middleton, E. P., Jr. Okayasu, Takateru Harris, Morton E. Ita, Takashi Komatsu, Hikosaburo James H., 111 Miles, Edward Yarnall Okoh, Frank Harter, Edward Bixby ltoh, Makoto Komm, Horace Linamogi, Edmonts G. Miller, Hugh D. B. Oleson, Dorte Marianne Haruki, Hiroshi lze, Antonio F. Konig, Heinz J. Lipman, Myra A. R. Miller, Hassinger, Bill, Jr. Koronblum, Boris Lipp, D. W. Miller, Nicholas S. Olin, Robert F. Haug, David R. Jackson, Howard L. Koriyama, Akira Liu, Jong-Diing Miller, Zovi Oliver, Michael R. Hausmann, Jean-Claude Jaco, William H. Koschorko, Ulrich Liulevicius, Arunas L. Mills, Wendell H. Olum, Paul Hayek, Nacore Jacobson, Marcel Kostonbauder, Adnah G. Longley, James Wildon Mislin, Guido Olver, Peter J. Hocht-Nialson, Robert Jacquot, Horv6 M. Koster, David L. Loomis, Irene H. Misra, A. K. Oman, John Arthur Hold, Reno P. Jafl'e, Martha A. Kottler, George F. Lopez, Amparo Mitchell, Josephine M. Omori, Hidoki

387 AMS Research Fellowship Fund (Continued)

O'Neill, Anne F. Rassias, Schauer, Richard L. Stanley, Dorothy M. Tuler, Randy Whitehead, Kathleen B. Onieva, Victor M. Themistocles Michael Scheffer, Carel L. Stanley, Richard P. Tull, Jack P. Whitesides, Sue H. Oppenheim, Joseph H. Ravenel, Douglas C. Schmeelk, John F. Stark, Jeremiah M. Turiel, F. J. Whitman, Philip M. Orlik, Peter P. Reade, Maxwell 0. Schmid, Edwardine M. Stark, Sheldon H., Jr. Turner, Philip H. Wicke, Howard H. Ornstein, Wilhelm Reber, Douglas C. Schmid, Wilfriod Steele, Alfred T. Wiegand, Osondu, Kevin E. Rebhunn, Deborah Schmidlin, Dean J. Steer, Brian F. Ucci, Jack Roger and Sylvia Uhlenbeck, Karen Osserman, Robert Redheffer, Raymond M. Schmidt, Henry J., Jr. Stefani, Stefano T. Wiegold, James Unai, Yasushi Unai Otermat, Scott C. Reed, Myra Jean Schmidt, Kenneth C. Steinberg, Maria W. Wightman, Arthur S. Upton, John A. W. Oltmann, Thomas A. Reiner, Irma M. Schneider, Hans Steinberg, Robert Wilkie, Susan Mario Reiner, Irving Stoll, George R. Wilkins, J. Ernest, Jr. Ozsvath, Istvan Schreiber, Bert M. van dor Vaart, H. Robert Reinoehl, John H. Stan, Bjorn T. J. Williams, Robert F. Schreiner, Erik A. Vamanamurthy, Paciorek, Joseph W. Renno, James G., Jr. Stern, Ronald J. Williamson, Charles K. Schremmer, Fran~oise Mavina K. Paige, Lowell J. Rosnikoff, H. L. Sternberg, David Williamson, Jack Schreur, Barbara Van Alstyne, John P. Pak, Eulyong Restrepo, Guillermo Stevens, Richard S. Williamson, Richard E. Schryer, Norman L. Van Arkel, Nicolaas A. Palais, Richard S. Ribe, Martin G. Stolberg, Harold J. Wilson, Leslie C. Schulman, Michael David Van Casteren, P. Rice, John R. Stone, David A. Wilson, Robert Lee Palka, Bruce Schupp, Paul E. Johannes A. Pallaschko, Diethard Richmond, Lawrence B. Stortz, Clarence B. Wirszup, Izaak Schwartz, Peter Vance, Rickert, Charles E. Strand, John L. Witsenhausen, Hans S. Palled, Shivappa V. Schwarz, Gerald W. James Thomas, Jr. Rickman, B. Strassberg, Helen A. Witte, David S. Palmer, Theodore W. Schweiger, Fritz Van Daalen, Diedorik T. Rieffel, Marc A. Strauss, Walter A. Woeppel, James J. Papanicolaou, George C. Schweitzer, Paul A. Van Der Kallen, Wilberd Riemenschneider, Oswald Stromberg, J. 0. Wolfe, Michael David Park, Chull Scissors, Richard H. Van Der Maiden, W. Rietz, Ronald E. Stucke, Carl H. Wong, Sherman K. Park, Sehie Scott, Leonard L., Jr. Van Horne, John W. Riley, Geoffroy William St. Vincent, Michael Wood, Craig A. Parker, Elwood G. Sedory, Stephen A. Van Osdol, Donovan H. Robbin, Joel W. Sucheston, Louis Wood, David H. Parrott, David Seebeck, Charles L., III Van Roossol, Henry J. J. Robbins, Leon C., Jr. Sudler, Culbreth, Jr. Wood, John W. Parter, Seymour V. Segal, Marsha A. VanTuyl, A. H. Robinson, Derek J. S. Sullivan, Richard W. Woolf, William B. Paschke, William L. Sehgal, Virindra M. Van Veldhuizen, M. Robinson, Julia B. Sun, Twan Wu, T. C. Patterson, Paul B. Seibert, Peter Van Vleck, Fred S. Patton, Charles M. Rod, David L. Seligman, George B. Sunouchi, Haruo Wyler, Oswald Rogers, C. Ambrose Sussman, Myron M. Vasconcelos, Wolmer V. Payne, Lawrence E. Serizawa, Shozo T. Rohrbach, Hans Sutherland, Patrick M. Vasquez, Alphonse Yachter, Morris Payne, Stanley E. Sorrell, Robert A. Rose, David A. Suzuki, Haruo Veech, William Yamaguti, Kiyosi Pearson, Robert W. Sesay, Mohamed W. I. Voldkamp, Ferdinand D. Yamamoto, Yutaka Peck, N. Tenney Rose, Donald C. Sevilla, Alicia N. Svoronos, Alex N. Swan, Richard G. Vergne, Michele Yanowitch, Michael Perez de Vargas, Alberto Rose, N.J. Soydi, Hamel J. Swokowski, Earl W. Vietsch, W. Karel Yasuhara, Ann Perez-Oiguin, Juan Luis Roseman, Joseph Shapiro, Joel H. Rosenbaum, Robert A. Szankowski, Andrzej Villamil, Hilda P. Yasuhara, Mitsuru Perlis, Robert V. Sharp, Henry, Jr. Rosenberg, Alex Vinograd, Robert E. Yood, Bertram Perry, Peter Anton Shelly, Maynard W. Rosenberg, Jonathan M. Taiani, Geraldine Vogan, David A., Jr. York, Donald C. Pesotan, Hoshang Shelupsky, David I. Rosensteel, George Takahashi, Shigeru Voreadou, Rodiani Yoshino, Takashi Peters, Chris A. M. Shan, Chang-Kong Rosenthal, Jenny E. Takesaki, Masamichi Vyborny, Rudolf Younis, Petersen, Bent E. Shen, Mei-Chang Ross, Kenneth A. Talmadge, Richard B. Rahman Mahmoud Pfaeflla, Thomas P. Sherk, F. A. Wadhwa, Bhushan Lal Rothaus, Oscar S. Tan, Ah Tee Yui, Noriko Phelps, Robert R. Shields, Patrick Joseph Wadsworth, Adrian R. Bruce L. Tan, Henry K. Rothschild, Shiffman, Max Wagner, Eric G. Zadeh, Lotfi A. Piger, Jean Linda Preiss Tanabe, Hiraki Rothschild, Shih, Weishu Wagoner, John B. Zama, Nobuo Pinsky, Mark A. W. Tanimoto, Taffee T. Rowe, Niles Shimada, Nobuo Wagstaff, Samuel S., Jr. Zamfirescu, Christina M. Piranian, George Espinoza Targonski, Gyorgy I. Ruben, Flores Shimura, Goro Wake, Bob Alan Zelinsky, Daniel Plotkin, Jacob M. Rubinstein, Joachim H. Tartakoff, David S. Pohanka, Shin, Yong-Tae Taylor, Donald E. Waldinger, Hermann V. Zelle, Joseph Ruess, W. Shiraiwa, Kenichi Walker, James W. Zeller, Karl Sister Hildegard A. Ruh, Ernst A. Taylor, Jean E. Shokranian, Salahoddin Wall, Curtiss E. Zemmer, Joseph L., Jr. Pohle, Frederick Valentine Ruiz Fernandez de Teitelbaum, Pinches Shorter, William Ivan Walsh, John J. Zimering, Shimshon Polivka, Raymond P. Pinedo, J. Teleman, Nicolae Sidney, Stuart J. Walton, Jay R. Zizi, Khelifa Pollatsek, Harriet S. Russakoff, Andrew Telephone Pioneers of Siemon, Michael L. Wang, Cecilia Y. Zolldan, Leo W. A., Jr. Pop-Stojanovic, Zoran R. Russo, Bernard America Sigrist, Fran~ois Ware, Buck Zuckerman, Gregg J. Porta, Harry J. Ruzicka, John F. Tellefsan, Carl R. Silberger, Allan J. Warren, Bette L. Porter, Jess Ryan, Donald E. Temam, Roger Singh, Bhagat Warren, William E. Anonymous (22) Porter, Robert Michael Ryan, John Edward Ternes, Lorne Slater, John B. Wasserman, Arthur G. Peschel, Jurgen Ryan, Peter M. Teng, Tsing-Houa Slinker, Steven P. Wasserman, Richard S. Preston, Christopher J. Rykken, Charles John Terao, Hiroaki Sloss, James M. Waterhouse, William C. Prieur, Serge Ryser, Herbert J. Tetsuo, Kaneko Prins, Geert C. E. Smith, Tews, Melvin C. Waterman, Daniel Proctor, Robert A. Sageev, Gershon Marianne Freundlich Theusch, Colleen J. Watkins, Mark E. Protter, Murray H. Sakai, Makoto Smith, Martha Kathleen Thiele, Ernst-Jochen Watson, Harry A., Jr. Protter, Philip E. Salas, Saturnine L. Smith, Michael G. Thomas, Lawrence E. Watts, Charles E. T. Pucci, Patrizia Salinas, Luis C. Smith, Rick L. Thomas, P. Emery Wechsler, Martin Pursell, Lyle E. Saljnikov, Viktor Smith, Wilbur L. Thron, Wolfgang J. Weibel, John L. Saltz, Daniel Smeller, Joel A. Tierney, Ann R. Weill, Lawrence R. Quinn, Frank S., Ill Salvadori, Anna Smyth, William F. Tierney, Myles Weiss, Richard M. Samelson, Hans Snyder, Tits, Jacques L. Weiss, William A. R. Rabinowitz, Paul H. Sanderson, Brian J. William Merritt, Jr. Todorov, Pavel Geotgiev Wells, David M. Rajanna, Willie Bee Sanderson, Donald E. Solomon, Louis Toil, Kathryn B. Wendt, Dieter W. F. Rakestraw, Roy M. Sarason, Donald E. Sonnesso, Geraldine Torrance, Ellen M. Wane, Gregory P. Ralston, Elizabeth W. Sarason, Leonard Sons, Linda R. Torres, Euclides Wente, Henry C. Ralston, James V. Sarhan, Mahmoud Sontag, Eduardo Daniel Tretkoff, Carol Wermer, John Ramanujan, Sasaki, Shigeo Specht, Edward J. Trigiante, Donato Wessel, W. Roy Molapalayam S. Sastri, Chelluri C. A. Spielberg, Stephen E. Tripp, John C. West, Donald C. Ramsay, Arian B. Satake, lchiro Sprague, Alan P. Trotter, Hale F. West, James E. Rangaswamy, K. M. Scalisi, Ignatius Philip Srinivasan, Shams Trucano, Timothy Guy Westbrook, Edwin P. Range, R. Michael Schafer, Richard D. Steckelberg, Olaf P. Tsinakis, Constantine White, Alvin M. Raskind, Wayne Mark Schaps, Maika Elisheva Stallings, John R. Tu, Yih-0 White, Neil L. Rassias, George M. Schatzman, Michelle Stallmann, Friedomann W. Tugue, Tosiyuki Whitehead, George W.

388 AMS Reports and Communications

Recent Appointments The Committee on Teaching Loads and Class Size was discharged with the thanks of the Council. Committee members' terms of office on standing committees expire on December 31 of the year Reports of Past Meetings given in parentheses following their names, unless otherwise specified. The Annual Meeting in Cincinnati

A new committee of the Board of Trustees, the The 88th Annual Meeting of the American Math­ Committee on Endowment, has been appointed by ematical Society was held January 13-17, 1982, in President Andrew M. Gleason. Its members are Andrew Cincinnati, Ohio. The meeting was held jointly M. Gleason, W. Ted Martin, chairman, and Cathleen with the 65th annual meeting of the Mathematical S. Morawetz. Association of America. There were 2311 registrants, including approximately 1510 members of the Society. The Association for Symbolic Logic is to participate The meeting was preceded by the AMS Short Course in the joint venture of translation of significant books on Computed Tomography. and papers in mathematics, statistics, and logic. As The Fifty-fifth Josiah Willard Gibbs Lecture a result, the name of the supervising committee has was presented by ELLIOTT W. MONTROLL of AMS-IMS-ASL Committee on been changed to the the Institute for Physical Science and Technology of Translations from Russian and Other Foreign the University of Maryland, College Park. Professor Languages. Chairman of the Committee is Lawrence Montroll spoke on The dynamics and evolution of Zalcman (1984). Continuing members of the AMS some socio-technical systems, and was introduced Subcommittee are Israel Berstein (1983), Ronald G. by Andrew M. Gleason. Douglas (1982), David Ebin (1983), Solomon Feferman of (1982), Frederick P. Gardiner (1982), John B. Garnett Colloquium Lectures. DENNIS SULLIVAN of New York, Graduate School and (1982), Jack K. Hale (1983), Raymond L. Johnson City University University Center, presented a series of four Colloquium (1984), Neal I. Koblitz (1984), Boris Mityagin (1983), Lectures entitled Geometry, iteration, and group Melvyn Nathanson (1983), Andrew M. Odlyzko (1984), theory. The presiding officers at the four lectures Arthur H. Stone (1982), and Lawrence Zalcman, were Andrew M. Gleason, Peter D. Lax, and John W. chairman (1984). The IMS Subcommittee members Milnor. are A. T. Bharucha-Reid, Miklos Csorgo, Eugene M. Klimko, Eugene Lukacs, chairman and Lajos F. Two Frank Nelson Cole Prizes in Number Takacs. Members of the new ASL Subcommittee Theory were awarded. The recipients were Robert are Solomon Feferman (1984), James P. Jones (1984), P. Langlands of the Institute for Advanced Study and Vladimir Lifschitz (1984), and Gregory Mine (1984). Barry Mazur of Harvard University. See pages 134 and Terms expire on September 30. 135 of the February 1982 Notices. Invited Addresses. By invitation of the Program Presidents Seymour V. Parter (SIAM) and Andrew Committee, there were eight invited one-hour addresses M. Gleason (AMS) have appointed Garrett Birkhoff, as follows: Mark Kac, chairman, and Clifford A. Truesdell III to C. BRYDGES, University of Virginia, What the AMS-SIAM Committee to Select the Winner of DAVID is a quantum field theory? the Birkhoff Prize for 1983. A description of the prize and a list of past winners is to be found on page LUIS A. CAFFARELLI, New York University, Institute of Mathematical Sciences, Varia­ 651 of the November 1981 issue of the Notices. Courant tional problems with geometric constraints. Roger W. Brockett (1984) and Robert S. Warming EDWARD GEORGE EFFROS, University of (1984) have been appointed by Presidents Andrew M. California, Los Angeles, C*-algebraic structure and Gleason and Seymour V. Parter to the AMS-SIAM noncommutative geometry. Committee on Applied Mathematics. Continuing E. GRAHAM EVANS, JR., University of Il­ members are John Dennis (1982), Norman Lebovitz linois, Urbana-Champaign, Linear algebra over (1982), Alan Newell, chairman (1983), and George C. K[X1, ... ,Xn]1890 to 1980. Papanicolaou (1983). JUN-ICHI lGUSA, Johns Hopkins University, The appointment of H. Thomas Banks (1984) to the Arithmetic of polynomials. AMS-SIAM Committee on Mathematics in the Life ROBERT P. LANGLANDS, Institute for Ad­ Sciences by mistake was not announced when effective vanced Study, Applications of the trace formula. in January 1981. The other continuing members of JOSEPH NEISENDORFER, Ohio State University, the committee are Joel E. Cohen (1983), Frank C. Columbus, Exponents in homotopy theory. Hoppensteadt (1982), Joseph B. Keller (1983), Donald RICHARD P. STANLEY, Massachusetts Institute Ludwig (1982), Robert M. Miura, chairman (1984), of Technology, Log-concave and unimodal sequences Garrett M. Odell (1983), Charles S. Peskin (1983). in algebra, combinatorics, and geometry.

389 The presiding officers at these eight hour addresses H. Leueking, Y. J. Leung, Abdallah K. Lyzzaik, were Felix E. Browder, Ronald L. Graham, Calvin A. Marden, Thomas A. Metzger, Burton Rodin, John Moore, George D. Mostow, Carl M. Pearcy, Judith D. Rossi, Glenn Schober, Allen Weitsman, and Lawrence Sally, James D. Stasheff, and Hans F. Weinberger. Zaleman. Special Sessions. By invitation of the Program Operator theory, CARL M. PEARCY, University Committee, there were fourteen special sessions of of Michigan. The speakers were Sheldon Axler, selected twenty-minute papers. The titles of these H. Bercoviei, Charles A. Berger, John B. Conway, special sessions, the names and affiliations of the L.A. Fialkow, J. William Helton, Domingo A. Herrero, mathematicians arranging them, and the speakers are C. M. Pearcy, C. R. Putnam, Peter Rosenthal, listed below. Norberta Salinas, Joseph Stampfli, and Joseph D. Rings of continuous functions, CHARLES E. Ward. AULL, Virginia Polytechnic Institute. The speakers Ordered algebraic structures, WAYNE B. were Paul Bankston, Robert L. Blair, W. W. Comfort, POWELL, Oklahoma State University, and CON­ Frederick K. Dashiell, Jr., Alan Dow, William A. STANTINE TSINAKIS, Vanderbilt University. The Feldman, Anthony W. Hager, Melvin Henriksen, Meyer speakers were Marlow E. Anderson, Richard N. Ball, Jerison, Ronnie LeyY, S. Mrowka, James F. Porter, J. Patrick Bixler, Paul Conrad, John Dauns, Manfred M. D. Rice, R. M. Stephenson, Jr., Mary Anne Droste, Todd Feil, A. W. M. Glass, W. Charles Holland, Swardson, Erie K. van Douwen, and R. Grant Woods. Justin T. Lloyd, Jorge Martinez, Stephen H. McCleary, A panel discussion on Directions of Research in F. D. Pedersen, Keith R. Pierce, Norman R. Reilly, Rings of Continuous Functions included as participants Jo E. Smith, Stuart A. Steinberg, and Constantine W. W. Comfort, A. W. Hager, M. Henriksen, M. E. Tsinakis. Rudin, and E. K. van Douwen. Topics in scattering and spectral theory, Multivariate spline junctions and piecewise poly­ ALEXANDER G. RAMM, Kansas State University. nomial approximation, ALFRED S. CAVARETTA, The speakers were Mark J. Ablowitz, Hans-Dieter JR., Kent State University. The speakers were Alber, Jules M. Combes, Jeffery Cooper, James S. Wolfgang Dahmen, Carl de Boor, Ronald DeVore, Howland, Roger G. Newton, Ralph S. Phillips, A. G. Richard Franke, Charles A. Hall, Klaus Hollig, Lois Ramm, Mary Beth Ruskai, Walter Strauss, and Calvin Mansfield, Charles A. Mieehelli, Gregory M. Nielson, H. Wilcox. and A. Sharma. Summability and related topics, BILLY E. Commutative ring theory, E. GRAHAM EVANS, RHOADES, Indiana University. The speakers were JR. and PHILLIP GRIFFITH, University of lllinois, David Borwein, F. Peter Cass, J. DeFranza, J. A. Fridy, Urbana-Champaign. The speakers were Kaan U. Akin, Mark A. Kon, Mangalam R. Parameswaran, Louise A. Sankar P. Dutta, Craig Huneke, Andrew R. Kustin, Raphael, B. E. Rhoades, William H. Ruckle, Dennis C. Barbara R. Peskin, Judith D. Sally, and Wolmer V. Russell and B. L. R. Shawyer. Vasconcelos. Quadratic forms, DANIEL B. SHAPIRO, Ohio Algebraic combinatorics, IRA M. GESSEL, State University. The speakers were Ricardo Baeza, Massachusetts Institute of Technology. The speakers James W. Benham, Ron Brown, Andrew G. Earnest, were George E. Andrews, David J. Aniek, Kenneth Robert W. Fitzgerald, David B. Leep, Murray A. Baclawski, Emden R. Gansner, Ira M. Gessel, Curtis Marshall, Jonathan L. Merzel, Carl Riehm, Alex Greene, Phil Hanlon, David M. Jackson, Vietor G. Kac, Rosenberg, Winfried Scharlau, Roger Ware, and Joseph Joseph Kung, S. C. Milne, Robert A. Proctor, Bruce E. L. Yueas. Sagan, Louis Solomon, and Dennis Stanton. Fixed points, nonezpansive mappings and re­ Dynamical systems, HARVEY B. KEYNES, lated topics, ROBERT C. SINE, University of Rhode University of Minnesota, Minneapolis, and NELSON Island. The speakers were Ronald E. Bruck, Frank G. MARKLEY, University of Maryland. The speakers R. Deutsch, D. J. Downing, Michael Edelstein, W. A. were Paul Blanchard, Louis Block, Michael G. Branton, Kirk, T. C. Lim, E. Odell, William 0. Ray, Simeon Michael Brin, Andres Del Junco, Marlies Gerber, Brian Reich, Ricardo Torrej6n, Barry Turett, and T. E. Marcus, Doug McMahon, R. Moeckel, Mahesh G. Williamson, Jr. Nerurkar, Susan Mary Rees, Daniel J. Rudolph, and The interaction between contempory pure math­ M. Sears. This session included a problem session. ematics and engineering at the research leve~ Algebraic topology, CHARLES A. MCGIBBON, GAIL S. YOUNG, University of Wyoming, and Indiana University. The speakers were Ralph L. Cohen, CLYDE MARTIN, Case Western Reserve University. Mark Feshback, Zbigniew Fiedorowiez, David Copeland The speakers were Melvyn S. Berger, Roger W. Brock­ Johnson, Richard M. Kane, Nicholas J. Kuhn, Stephen ett, Christopher I. Byrnes, Irwin W. Sandberg, Alwyn A. Mitchell, David J. Pengelley, Paul Seliek, James D. C. Scott, Gilbert Strang, and H. S. Witzenhausen. Stasheff, R. W. Thomason, and Frank Williams. Contributed Papers. There were twenty-one Topics in complex analysis, C. DAVID MINDA, sessions for contributed ten-minute papers. The University of Cincinnati. The speakers were Albert presiding officers for these twenty-one sessions were Baernstein II, L. Brickman, Barbara A. Brown, Johnny J. Marshall Ash, Robert E. Atalla, Alfonso G. Azpeitia, E. Brown, Douglas M. Campbell, Joseph A. Cima, Carl Gerald R. Chachere, Lawrence W. Conlon, Lokenath C. Cowen, Jr., David Drasin, Peter Duren, Carl H. Debnath, Nicolae Dineuleanu, Paul E. Eloe, Ralph J. FitzGerald, F. W. Gehring, D. H. Hamilton, Daniel Faudree, Jr., J.D. Fugate, Lynn E. Garner, Vladislav

390 V. Goldberg, Gary R. Greenfield, Margret H. Hoft, The Council nominated the persons listed as John Jones, Jr., Jerald A. Kabell, Donna Kimagai, candidates for offices in the election of 1982. It should Suzanne M. Lenhart, Linda Lesniak-Foster, John H. be noted that there may be additional candidates for McCleary, Peter A. McCoy, Michael G. Murphy, Stuart the offices of Vice-President or Member-at-Large. A. Nelson, Chull Park, John R. Quine, Jr., David L. Vice-President (one position) Reiner, David A. Robbins, Mary Beth Ruskai, Boris M. Eugene B. Dynkin Calvin C. Moore Schein, Helene Shapiro, P. W. Spikes, William Trench, Joseph L. Ullman, and Noriko Yui. Secretary Everett Pitcher Other Events. A panel discussion on Mathematics Associate Secretary (two positions) and applications was sponsored by the Society's Frank T. Birtel W. Wistar Comfort Committee on Employment and Educational Policy. Treasurer Franklin P. Peterson The participants included Richard C. DiPrima, Daniel Steve Armentrout J. Kleitman, Kennan T. Smith, Robert DeHoff, Henry Associate Treasurer 0. Pollak, Joan R. Rosenblatt, and Charlotte Lin, Trustee Frederick W. Gehring moderator. Member of the Editorial Committee for The Association for Women in Mathematics American Journal sponsored a Centennial Symposium on Emmy of Mathematics Spencer Bloch Noether: Historical context. I. N. Herstein moder­ Bulletin Meyer Jerison ated the symposium for which the speakers were Jeanne Colloquium LaDuke and Uta Merzbach. Julia B. Robinson gave Publications Louis Nirenberg the Emmy Noether Lecture, Functional equations in Mathematical Reviews Robert G. Bartle arithmetic. Mathematical Surveys R. 0. Wells, Jr. The Conference Board of the Mathematical Mathematics of Sciences and the Rocky Mountain Mathematics Computation Hugh C. Williams Consortium cosponsored a symposium on Mathe­ Proceedings George R. Sell matics in natural resources management, organized Transactions and Memoirs (three positions) and moderated by Robert W. McKelvey. The speakers Donald L. Burkholder Lance Small were Yakov Haimes, Gordon Munro, Maureen Cropper, Linda Preiss Rothschild and Ralph d'Arge. Committee to Monitor Problems in Communications The people who served on the Local Arrangements (two positions) Committee were Edward P. Merkes (chairman), W. Wistar Comfort Robert W. Ritchie S. Elwood Bohn, Thomas J. Bruggeman, Milton D. Member-at-Large (five positions) Cox, Robert M. Dieffenbach, Richard G. Laatsch, Peter L. Duren Paul S. Muhly William J. Larkin III, H. Davis Lipsich, Maita Levine, Susan J. Friedlander Yum Tong Siu and Raymond H. Rolwing. Robin Hartshorne Olga Taussky-Todd Irwin Kra Frank T. Birtel New Orleans, Louisiana Associate Secretary The Council unanimously endorsed a document titled Some Faculty Perspectives on Circular A-21. The text may be found in the Notices for April 1982 Couneil and Business Meetings on pages 253 to 255. The Council received a copy of a letter from the President to the Office of Management January Meetings. The Secretary's report of the and Budget, in which he proposed changes in Circular Council Meeting held on January 12 and of the Business A-21. Meeting held on January 14 appeared on pages 212 and 213 of the February 1982 Notices. The meeting adjourned at 10:00 p.m. March Council Meeting. The Council met at 7:30 Everett Pitcher p.m. on 16 March 1982 in Delaware Room 1 of the Bethlehem, Pennsylvania Secretary Marriott Hotel on City Line Avenue in Philadelphia. President Gleason was in the chair. The Council welcomed the Association for Symbolic Logic to the Joint Committee on Translations from Russian and Other Foreign Languages.

391 SIAM '82 30th ANNIVERSARY MEETING July 19-23, 1982 Stanford University Stanford, California GENERAL TOPICS SYMPOSIA AND ANNOUNCEMENT INVITED SPEAKERS

The 30th Anniversary Meeting The Numerical The Numerical Solution of Partial of SIAM will be held at Stanford Differential Equations and Applications Solution of Partial Antony Jameson, Princeton University University, Stanford, California Cathleen S. Morawetz, Courant Institute of on July 19-23, 1982. It will be Differential Equations Mathematical Sciences, New York University Donald J. Rose, Bell Laboratories the only national meeting of and Applications Mary F. Wheeler, Rice University SIAM in 1982. The Numerical Analysis of Ordinary Differential Equations The program will feature five The Numerical John C. Butcher, University of Auckland symposia topics, contributed Garmund Dahlquist, Royal Institute of Analysis of Ordinary Technology, Stockholm papers and poster presentations Peter Deuflhard, Universitat Heidelberg and, as a special feature, a Differential Equations Control Theory number of "mini-symposia." Karl Astrom, University of Lund Control Theory David L. Russell, University of WisconSin, There will also be a special Madison lecture sponsored by SIAM Biomathematics Biomathematics Institute for Mathematics and Samuel Karlin, Stanford University Donald A. Ludwig, University of British Society, the first award of the Computer Science Columbia SIAM Prize in Numerical Lawrence A. Shepp, Bell Laboratories Analysis and Scientific Methods in Computer Science Jon Louis Bentley, Carnegie-Mellon University Computing, and the 21st John Shmuel Winograd, IBM-T. J. Watson von Neumann Lecture. Nonlinear Analysis Research Center Methods in Nonlinear Analysis Modern Mechanics James A. Yorke, University of Maryland PROGRAM Hermann Flaschka, University of Arizona CONTRIBUTED PAPERS Homotopy and Fixed Point Methods COMMITTEE Herbert B. Keller, California Institute of AND Technology Members of the Program Committee POSTER PRESENTATIONS Michael Todd, Cornell University for SIAM '82 are Gene H. Golub Applications to Fluid and Gas Dynamics How to contribute ••• T. Brooke BenjaMin, University of Oxford (Chairman), Stanford University; Andrew Majda, University of California, Robert E. O'Malley, Rensselaer Berkeley Polytechnic Institute; James McKenna, Contributions in all areas of applied Bell Laboratories; and, ex officio, the mathematics are welcome, but managing editors of the SIAM journals. contributions in !he areas of the symposia themes are especially desired. To contribute a "twelve­ REGISTRATION minute" paper or poster presentations, obtain a standard abstract form from Advance registration material will be available in May 1982. For additional SIAM, Contributed Abstracts, meeting information, contact: 117 Scuth 17th Street, Suite 1405, H. B. Hair, Philadelphia, PA 19103; Telephone: 117 South 17th Street, Suite 1405, 215-564-2929. SIAM must receive Philadelphia, PA 19103. Telephone: 215-564-2929. abstracts-200 words or less-by March 1, 1982.

392 Classified Advertisements

SUGGESTED USES for classified advertising are books or lecture notes for sale, books being sought, positions available, exchange or rental of houses, and typing services. THE RATE IS $.50 per word with a minimum of $5.00. The same ad in 7 consecutive issues is $3.75 per word. Type will be set solid unless centering and spac­ ing are requested. A centered line of any length or the equivalent in white space is $5.00. A word is defined as a group of characters with space at each end. Prepayment is required of individuals but not of institutions. DEADLINES are listed on the inside front cover. U. S. LAWS PROHIBIT discrimination in employment on the basis of color, age, sex, race, religion or national origin. "Positions Available" advertisements from institutions outside the U. 5. cannot be published unless they are accompanied by a statement that the institution does not discriminate on these grounds, whether or not it is subject to U.S. laws. Details and specific wording may be found on page 95 of the january 1982 issue of the Notices. SITUATION WANTED advertisements are accepted under terms spelled out 6n page A·355 of the April 1979 Notices. (Deadlines are the same as for other classi· fied advertisements.} SEND AD AND CHECK TO: Advertising Department, AMS, P. 0. Box 6248, Providence, Rhode Island 02940. Individuals arc requested to pay in advance, in· stitutions are not required to do so.

POSITIONS AVAILABLE FACULTY POSITION SUSQUEHANNA UNIVERSITY Department of Mathe· INDIANA STATE UNIVERSITY, MATHEMATICS/COM· matical Sciences has a possible opening commencing Septem· PUTER SCIENCE DEPARTMENT, TERRE HAUTE, IN ber 1982 for faculty position teaching undergraduate courses 47809. Chairperson of the Department of Mathematics/ in computer science and mathematics. Doctorate preferred, Computer Science effective in August 1982. Candidates must but others may apply. Computer science qualifications are have a Doctorate, an established record of research, grant· important. Send resume, graduate transcripts, and three writing and administrative experience, plus a commitment to letters of reference to Professor john M. Reade, Chairman, quality teaching. The chairperson will administer the Depart­ Department of Mathematical Sciences, Susquehanna Univer­ ment consisting of approximately 26 staff members and 400 sity, Selinsgrove, PA 17870. Equal Employment Opportu· Mathematics and/or Computer Science Majors. Salary and nity, Affirmative Action, and Title IX institution. rank are dependent upon candidates' qualifications. Send credentials and 3 letters of recommendation to Dr. R. D. SPECIAL ANNOUNCEMENT Pethtel, Chairman, Chair Search Committee. The extended deadline for applications is june 15, 1982. Affirmative Action/Equal Opportunity Employer. NUMBER THEORY .... UNIVERSITY OF COLORADO 1'7 University of New Orleans BOULDER, COLORADO 8"0309 FACULTY POSITIONS IN COMPUTER SCIENCE In the spring term of 1983, Professor E. Wirsing (Uim, West Applications are invited for positions in the Department Germany) will occupy the Ulam visiting chair here at the of Computer Science at all levels. Candidates should hold a University of Colorado. Hence at that time at least three doctorate in computer science or related discipline, and have faculty members with interests in analytic number theory, demonstrated potential for a productive academic career in especially additive and multiplicative functions, and in dio· computer science. A commitment to excellence in teaching phantine equations and inequalities, will be present. For is essential. mathematicians interested in these areas, either the spring Salary and rank will be commensurate with qualifications term 1983, or the academic year 1982-1983, might be a and experience. good time to visit Colorado. We are encouraging faculty on The University of New Orleans, a comprehensive urban sabbaticals, postgraduates or graduate students. university located on the southern shore of Lake Ponchar­ P.D.T.A. Elliott W. N. Schmidt train, is a member of the Louisiana State University system. Current enrollment is in excess of 15,000 students. The FOR SALE Computer Science Department is a rapidly developing departm~nt in the College of Sciences. Academic computing facilities include a DEC-1 0, VAX 11/780, various PDP 11 s Complete set of Math. Revs. 1940-1981 inclusive. Volumes and micros. 1-50 inclusive are bound (in 90 physical volumes). Buyer arranges delivery. Best offer. K. S. Miller, 25 Bonwit Road, Please send resume and references to: Port Chester, NY 1 0573. Dr. William j. Mitchell Department of Computer Science University of New Orleans Learn about computers. Send $7 for our 50-page workbook, New Orleans, LA 70148 the Computer Primer, or write for our free brochure. The University of New Orleans is an Equal Opportunity/ American Reveille Publishing Company, Box 7436, Chicago Affirmative Action Employer. 60680.

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393 Questions for all mathematicians ...

1. Which journal is devoted Answer#l: entirely to integral equations, providing an authoritative JOURNAL OF resource for mathematical researchers, educators, engi­ INTEGRAL EQUATIONS neers, and scientists in any Editors: area where analytical mathe­ A. Bharucha-Reid matics is used? and M. Z. Nashed 2. Which mathematics journal is Answer#2: the leading source of what is happening in linear algebra? LINEAR ALGEBRA (Hint: It is an internationally renowned outlet for research AND ITS APPLICATIONS reports on analytic, algebraic, Editors-in-Chief: combinatorial, and numerical Richard A. Brualdi aspects of linear algebra and and Bans Schneider matrix theory.) 3. This interdisciplinary journal Answer#3: covers developments that advance the use of mathe­ APPLIED MATHEMATICS matics, modeling, and com­ putation in defining and AND COMPUTATION: solving problems of the envi­ Modeling of the Environment ronment and other real-world problems. What is this jour­ Editors: nal's name? Robert Kalaba and John L. Cast! 4. Can you name the prestigious Answer #4: journal which presents origi­ nal research papers in the STUDIES IN diverse and continually ex­ panding field of applied math­ APPLIED MATHEMATICS ematics? You probably know Managing Editor: that it is the best resource for D. J. Benney mathematicians, physicists, engineers, geophysicists, meteorologists, and others who must know what is hap­ pening in mathematics in their fields.

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NOTE: A $4 charge will be imposed for all invoices prepared when preregistration/housing forms are submitted without an accompanying check for preregistration fee(s), or are accompanied by an insufficient amount. ] Check here if you will not require a room.

PLEASE BE SURE TO COMPLETE THE SECTION ON NEXT PAGE IF YOU WILL REQUIRE HOUSING.

395 PREREGISTRATION AND HOUSING RESERVATION REQUEST FORM (continued) UNIVERSITY HOUSING SECTION [ ] I WILL NOT REQUIRE A ROOM. Please read section on ''Types of Accommodations" in meeting announcement. Please reserve the following residence hall accommodations: (Rates are given in Canadian dollars and include Provincial Sales Tax.) AIR·CONDITIONED ROOMS- PLEASE CIRCLE NIGHT(S) OF OCCUPANCY: MALES:

$20.00 Wetmore - Single Night(s) of 8/20 21 (no breakfast) $21.50 Wetmore - Single Night(s) of 8/22 23 24 25 26 (breakfast included) $13.50 Wetmore - Double/per person Night(s) of 8/20 21 (no breakfast) $15.50 Wetmore - Double/per person Night(s) of 8/22 23 24 25 26 (breakfast included) FEMALES: $20.00 Wilson - Single Night(s) of 8/20 21 (no breakfast) $21.50 Wilson - Single Night(s) of 8/22 23 24 25 26 (breakfast included)

NON-AIR-CONDITIONED ROOMS- PLEASE CIRCLE NIGHT(S) OF OCCUPANCY:

MALES:

$19.00 Devonshire - Single Night(s) of 8/20 21 (no breakfast) $20.50 Devonshire - Single Night(s) of 8/22 23 24 25 26 (breakfast included) $18.73 Trinity - Single Night(s) of 8/20 21 22 23 24 25 26 (no breakfast) $12.31 Trinity - Double/per person Night(s) of 8/20 21 22 23 24 25 26 (no breakfast) $16.59 Trinity (Student) - Single Night(s) of 8/20 21 22 23 24 25 26 (no breakfast) $18.73 St. Michael's - Single Night(s) of 8/21 22 23 24 25 26 (no breakfast) $12.31 St. Michael's - Double/per person Night(s) of 8/21 22 23 24 25 26 (no breakfast) $16.05 Knox - Single Night(s) of 8/20 21 22 23 24 25 26 27 (no breakfast) $12.84 Knox (Student) - Single Night(s) of 8/20 21 22 23 24 25 26 27 (no breakfast) CO-ED and FAMI Ll ES:

$19.00 Sir Daniel Wilson -Single Night(s) of 8/20 21 (no breakfast) $20.50 Sir Daniel Wilson - Single Night(s) of 8/22 23 24 25 26 (breakfast included) $19.00 Whitney - Single Night(s) of 8/20 21 (no breakfast) $20.50 Whitney - Single Night(s) of 8/22 23 24 25 26 (breakfast included) $12.50 Whitney - Double/per person Night(s) of 8/20 21 (no breakfast) $14.50 Whitney - Double/per person Night(•) of 8/22 23 24 25 26 (breakfast included) $20.50 Victoria (Margaret Addison) - Single Night(s) of 8/20 21 22 23 24 25 26 (breakfast included) $14.50 Victoria (Margaret Addison) - Double/per person Night(s) of 8/20 21 22 23 24 25 26 (breakfast included)

I will arrive on at a.m./p.m., and depart on at a.m./p.m.

I will share a double room with who will arrive on

a a.m./p.m. and depart on at a.m./p.m.

List sex(es) and age(s) of accompanying children

----$7.49 daily mattress charge for child 10-14 occupying room with parents in Whitney Hall only (no breakfast).

---- $5.35 daily cot charge for child 4-12 occupying room with parents in Margaret Addison Hall at Victoria University (no breakfast). SCARBOROUGH COLLEGE APARTMENTS: (11 units) Rates do not include breakfast. Weekly rates do not include towels, face cloths or soap. All rates include Provincial Sales Tax.

Daily rates: $16.05 - Single $13.91 - Double/per person $10.71 -Child under 12 occupying bed Unit of 4 singles at above single rate or $176.55 weekly rate Unit of 6 singles at above single rate or $214.00 weekly rate Unit of 2 singles and 2 doubles at above rates or $214.00 weekly rate

Apartment unit will be shared by------

Number of children and ages------Unit will be occupied on night(s) of 8/19 20 21 22 23 24 25 26. Please circle night(s) of occupancy. (Check-out time is noon on 8/27.)

We will arrive on-----at----- a.m./p.m., and depart on-----at----- a.m./p.m. 396 Analysis International mathematical journal for analysis and its applications This new journal - appearing since 1981 - is devoted to original contributions from the field of analysis, in particular classical analysis and its applications (according to the AMS 1980 classification scheme: 10, 26, 28, 30-35, 39-47, 49, 60, 65). "Analysis" is edited by A. Peyerimhoff, H.-J. Runckel, and R. Trautner, University of Ulm, Germany. "It is a good idea to have a journal which specializes in the more classical aspects of analysis." Prof. Dr. G. G. Lorentz, University of Texas

Statistics & Decisions An international mathematical journal for stochastic methods and models In June 1982, the first issue of our new periodical - edited by E. J. Dudewicz, Ohio State University, D. Plachky, University of Monster, Germany, and P. K. Sen, University of North Carolina­ will appear. The journal will provide a forum for international discussions about any theoretical or applied problem of deci­ sion theory, the essential aspect of mathematical statistics.

r-Piease~te~~ub~iptio~~98~- 0 Analysis 0 Statistics& Decisions (Each 4 issues $88.00) Please send sample copy of 0 Analysis D Statistics & Decisions Name Akademische Verlagsgesellschaft Address P.O. Box 1107 City BahnhofstraBe 39 State ZIP D · 6200 Wiesbaden Date Signature Germany (West) Akademische Verlagsgesellschaft P.O. Box 1107, D-6200 Wiesbaden

397 Summer List of Applicants Instructions for Applicant Form on facing page The form. Forms submitted by job applicants who attend the August meetings in Toronto will be posted. Two Research Collections for Workers The first impression a prospective employer has of an in Combinatorics, Graph Theory, applicant may be based on the appearance of this form. Number Theory, and Computation. The forms should be carefully typed using a fresh black ribbon. The best results are obtained with a carbon-coated polyethylene film ribbon, but satisfac­ a ribbon made of of W. T. Tutte, with tory results may be obtained using Selected Papers nylon or other woven fabric if suitable care is exer­ commentaries by Professor Tutte. cised. It is important that the keys be clean and make (Two Volumes). a sharp, clear impression. Use a correcting typewriter Submit the Selected Papers of D. H. Lehmer, with or correction tape or fluid if necessary. original typed version only. Hand lettered forms are commentaries of Professor Lehmer. acceptable if prepared carefully. (Three Volumes). The summary strip. Information provided here will be used to prepare a printed list of applicants for dis­ tribution to employers. Please supply all information requested, and confine your characters to the boxes provided. Use the codes below. Circled letters identify Available either paperbound or hard­ corresponding items on the form and the strip. bound from: Address forms to the Mathematics Meetings Hous­ The Charles Babbage Research Centre ing Bureau, P. 0. Box 6887, Providence, RI 02940. See pages 348 P. 0. Box 370 The deadline for receipt is July 9, 1982. and 356 for more information. St. Pierre Manitoba, Canada @ Specialties ROA 1VO AL = Algebra AN = Analysis BI = Biomathematics BS = Biostatistics CB = Combinatorics CM = Communication CN = Control CS = Computer Science CT = Circuits DE = Differential Equations EC = Economics ED = Mathematical Education BOUNDARY VALUE PROBLEMS FA = Functional Analysis FI = Financial Mathematics FOR ELLIPTIC FL = Fluid Mechanics GE = Geometry HM = History of Math LO = Logic PSEUDODIFFERENTIAL EQUATIONS MB = Mathematical Biology ME = Mechanics by G. I. Eskin, translated by 5. F. Smith MO = Modelling MP = Mathematical Physics The English edition differs from the Russian in MS = Management Science NA = Numerical Analysis that an Introduction and three new sections ( §§ 25- NT = Number Theory OR = Operations Research 27} have been added. Moreover, various corrections, PR = Probability SA = Systems Analysis improvements and remarks have been made by the ST = Statistics TO = Topology author throughout the book, especially in Chapter 6. CONTENTS @ Career Objectives 1. Generalized functions and the Fourier transform 2. Boundary value problems for an elliptic pseudo­ AR = Academic Research AT = Academic Teaching differential operator in a halfspace NR = Nonacademic R&D NC = Nonacad. Consulting 3. Smoothness of solutions of pseudodifferential NS = Nonacademic Supervision equations 4. Systems of elliptic pseudodifferential equations ®CD Duties in a halfspace 5. Pseudodifferential operators with variable symbols T =Teaching U = Undergraduate R =Research 6. Boundary value problems for elliptic pseudo­ G =Graduate C = Consulting A = Administration differential operators in a bounded domain with S = Supervision IND = Industry boundary smooth GOV = Government DP = Data Processing 7. Applications Volume 52, xii + 376 pages (hard cover) Location List price $68.00, institutional member $51.00, individual member $34.00 ISBN 0-8218-4503-9; LC 80-39789 E =East S =South Publication date: May 1981 C =Central M =Mountain To order, please specify MMON0/52N W=West 0 = Outside U.S. I = Indifferent Prepayment is required for all AMS publications. © U.S. Citizenship Status Order from AMS, PO Box 1571, Annex Station, Providence, Rl 02901, or call 800-556-7774 C = U.S. Citizen P = Permanent Resident to charge with VISA or MasterCard. T = Temporarily in U.S. N = Non-U.S. Citizen

398 APPLICANT FORM MATHEMATICAL SCIENCES EMPLOYMENT REGISTER AUGUST 1982 TORONTO, ONTARIO, CANADA

(please see instructions on facing page) APPLICANT: Name'------­ Mailing address (include zip code)------

@Specialties______@ Career objectives and accomplishments ACADEMIC: D Research, D Teaching NON-ACADEMIC: D Research and Development, 0 Consulting, 0 Supervision Near-term career goal.______

Significant achievements or projects, including rol.,______

Honors and offices ______Other (e.g., paper to be presented at THIS meeting)!------

Selected titles of papers, reports, books, patent'"------

@Degree Year Institution -- __ ------@No. of abstracts, internal report.,______------@No. of papers accepte,....______------@No. of books and patent.. , ______EMPLOYMENT ffiSTORY: Present Previous Previous @Employer ------­ Position @Duties Years ______to. ______to. ______to. ______DESffiED POSITION:; ______Q) Duties•------0 Available mo. __ fyr.__ Locatio•IL------• Salary______@ References (Name and Institution)

©Citizenship ------@I plan to attend the Summer Meeting yes 0 no 0

Family Name Firat Name Mailing Addreu SUMMARY STRIP I I I I I I I I I I I I I. I I I I I I I I I. rrl1--.-1 ;:-,-1 I.-I ,1 1-.1 .-I lrrl--.-1 ,--,-1 I.-I ,1 1-.1 "I I. Addreu (cont'd.) Address (cont'd.) State & Zip Code @ Specialties I I I I I I I I I I I I I I 1, I I I I I I I I I I I I I I I I. I I I I I I I I I. [[] ITJ ITJ ITJ ITl. @ Career objectives @M~~~!!t @Yr. @ Institution @ @ ® @Moat recent employer ITJ [[] [[] [[] ITl. ITJITl, ITl. I I I I I I I I I I I. ITl. ITl. ITl. I I I I I I I I I I I. @ Preaent duties (!) Desired dutiea 0!';.~}1;;:le @ II 111111111. ITIIJ. ITIJJ. ITl/ITl. D

399 Handbook of Mathematical Logic edited by JON BARWISE chapters that follow. Each chapter is written for non-specialists in the field in question. NOW AVAILABLE IN PAPERBACK "Outstanding collection of thirty-one survey articles 1977, 1st repr. 1978. xii 1166 pages. + covering in some detail every major area of current Price in the U.S.A. and Canada: US $39.00 research in mathematical logic. Each article written In all other countries: Dfl. 90.00 by a prominent logican specifically for this ISBN 0-444-86388·5 Paperback volume ... A very inviting book in which to browse STUDIES IN LOGIC AND THE FOUNDATIONS OF as well as to obtain considerable detail on specific MATHEMATICS, Vol. 90 topics, considering the breadth of coverage: The handbook should be welcomed by the entire mathe­ The Handbook is divided in four parts: model matical community." theory, recursion theory and proof theory. Each of the four parts begins with a short guide to the American Mathematical Monthly Universal Algebra edited by B. CSAKANY. E. FRIED. and Papers deal with the following topics: Varieties and E. T. SCHMIDT, Generalizations, Congruences, Automorphisms, En­ COLLOQUIA MATHEMATICA SOCIETATIS domorphisms, Direct Products, Reducts, Free Alge­ JANOS BOLYAI, Vol. 29 bras, Partial Algebras, Polynomials, Completeness and Interpolation, Categories, Lattices, Function 1982 806 pages Lattices, Boolean Algebras, Cylindric Set Algebras, Price: US $151.001Dfl. 325.00 Groupoids, n-Groups, Automata, Applications of ISBN 0·444·85405·3 Universal Algebra, and Connections with Combina­ Proceedings of the Colloquium on Universal torics. A list of open problems raised at the Algebra, Esztergom, Hungary, 27 June- 1 July, 1977. Problem Session of the Colloquium, is also given. Approximation and Function Spaces Proceedings of the International Conference held in spaces. In particular, it covers the following topics: Gdansk, 27-31 August, 1979 Function Spaces (embeddings, extensions, interpolation), Approximation (by polynomials, edited by ZBIGNIEW CIESIELSKI trigonometric polynomials, rational functions, 1981 xiv + 898 pages splines etc.), Expansions (orthogonal bases, Fourier Price: US $127.751Dfl. 275.00 series and integrals), Multipliers, and Cubature ISBN 0·444·86143·2 Formulas. The book features a list of unsolved This work contains original papers on recent problems formulated at the Problem Session by the advances in approximation theory and function participants, and reports on the recent achievement of researchers from the western and eastern countries. Shape Theory The Inverse System Approach paid to compact spaces because shape theory is most useful there. by S. MARDESIC and J. SEGAL Chapter II deals primarily with the algebraic topolo­ gy of shape theory (shape invariants). The authors NORTH-HOLLAND MATHEMATICAL LIBRARY, concentrate on a number of fundamental notions Vol26 like homotopy pro-groups, shape groups, movability, 1982 about 376 pages stability, and fundamental theorems such as the Price: US $81.501Dfl. 175.00 shape versions of the classical Hurewicz and ISBN 0-444-86286-2 Whitehead theorems. In order to offer a more complete picture of the sub­ Chapter I is devoted to the foundations of shape ject, and adhere to space limitations, Chapter Ill theory. A special feature is the systematic use of contains a number of surveys of selected areas in the inverse system approach. Special attention is shape theory.

North-Holland Publishing Company P.O. Box 211 - 1000 AE Amsterdam- The Netherlands In the U.S.A. & Canada: Elsevier Science Publishing Co., Inc.- 52 Vanderbilt Avenue- New York, N.Y. 10017

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400 Nonlinear Problems: Prese11t and Future Proceedings of the First Los Alamos Conference on through survey lectures and original contributions. Nonlinear Problems, Los Alamos, NM, U.S.A. A cross section of active research topics in the 2-6 March, 1981 field of nonlinear science is included: (onset of and fully developed) turbulence in plasmas and fluids; edited by ALAN BISHOP, DAVID CAMPBELL and nonlinearity in field theory and low-dimensional BASIL NICOLAENKO solids; reaction-diffusion processes; new methods NORTH-HOLLAND MATHEMATICS STUDIES, Vol. 61 in nonlinear mathematics. 1982. xii + 482 pages. The strongly interdisciplinary nature of the subjects Price: US $69.75/Dfl. 150.00 Paperback. covered and the high quality of the contributions, ISBN 0-444-86395-8. make this volume valuable reading for the novice and expert alike. It will serve as a useful intro­ As befits an inaugural conference, a wide spectrum duction to several important areas of nonlinearity, of topics in nonlinear science are represented while also defining their cutting edges. The Single server oueue Second Revised Edition edition of this work, several new and important by J. W. COHEN developments have taken place in the study of Queueing Theory. A survey chapter has been NORTH-HOLLAND SERIES IN APPLIED incorporated in this revised edition to provide the MATHEMATICS AND MECHANICS, Vol. 8 reader with information about these developments. 1982. xiv + 694 pages. A new section on some topics of the theory of Price: US $97.75/Dfl. 210.00 regenerative processes has been added; the ISBN 0-444-85452-5. relevant theorems have appeared to be extremely useful for the general analysis of stationary In the decade following the appearance of the first processes. Random FieldS, Volumes I and II Rigorous Results in Statisticaj Mechanics held at Esztergom, Hungary, 25-30 June, 1979. The and Quantum Field Theory colloquium was organized by the Bolyai Mathematical Society and cosponsored by the edited_ by J. FRITZ, J. L LEBOWITZ and Bernoulli Society. Emphasized fields of the meeting D. SZASZ were: Limit Theorems for Random Fields, Gibbrian COLLOQUIA MATHEMATICA SOCIETATIS JANOS Fields, Phase Transitions, Dynamical Systems of BOLYAI, Vol. 27 Statistical Physics, Euclidean Quantum Fields, Gange Fields .... 1982. 1112 pages (in 2 volumes). Featuring representative results of different Price: US $186.00/Dfl. 400.00 per 2-volume set. scientific schools from all over the world, the 71 ISBN 0-444-85441-X. papers in these volumes manifest the recent rapid These volumes are the proceedings of the collo­ progress in these areas and give outlook to some quium on "Random Fields: Rigorous Results in related problems which are of potential interest for Statistical Mechanics and Quantum Field Theory", researchers in these fields. combinatorial and ceometric structures and Their Applications edited by A. BARLOTTI techniques both by providing combinatorists with a NORTH-HOLLAND MATHEMATICS STUDIES, Vol. 63 powerful new tool and also by creating a new field of application for those techniques. Annals of Discrete Mathematics (14), The topics of combinatorics considered in this 1982. viii + 292 pages. volume are: Galois geometries- new results and Price: US $44.25/Dfl. 95.00 Paperback. survey of areas recently studied; finite geometries - ISBN 0-444-86384-2. translation planes and the state of the art from a Combinatorics is an old branch of mathematics. In combinatorial point of view on generalized recent times the advent of the electronic age and quadrangles and nonlinear structures; design the development of computer technology has given theory - a profound and thorough study of special great impetus to the study of combinatorial classes of design; and matroids.

i\.'-H North-Holland Publishing Company (!'>~·(-- P.O. Box 211 - 1000 AE Amsterdam- The Netherlands ~~~-: In the U.S.A. & Canada: 1~ ,, _- Elsevier Science Publishing Co., Inc.- 52 Vanderbilt Avenue- New York, N.Y. 10017

The Dutch guilder price is definit1ve. US$ prices are subject to exchange rate fluctuations. 0821 NH Pnces are subject to change without prior notice. VI u- ~ u t)l)~ c: u Elementary Theory of 0 ~VI u- ·;: ~ 0 u 0 Q. c: Metric Spaces u ::c t)l) VI -c -c VI ·:; .:: A Course in Constructing ~ -c"' u ,_0 c: ·; Mathematical Proofs -c Q,. E c: ... "' Robert B. Reise! 0 u -c"' Just as science students must learn to ~ ·; construct experimems to validate their ideas, Q. so must mathematics students learn to t·onstruct proofs which lead to acceptance of their conjectures. This text is a course in the constru-1- The modern aspects of Fourier theory LIJ and Topology fonts. 0 0 an· presented along with dassic·al theory, and N u Edwin E. Moise 0'1 0 0'1 elements of Banat·h algebra theory, dis­ 0'1 N""' V'l 0 This well-written, carefully < u 0 Q. To order your nlpies todav, write Springer-Verlag New York Inc u a:l "'u C2 Dt'Jlt S5110 P.O. Box 2-185 ·;: LIJ d Secaucus, New Jersey 0709-l 0 ~ z