Notices of the American Mathematical Society

June 1983, Issue 226 Volume 30, Number 4, Pages 385-472 Providence, Rhode Island USA ISSN 0002-9920 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 th~ 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 805 August 8-11, 1983 Albany, New York MAY 17, 1983 August {87th Summer Meeting) 806 October 28-29, 1983 Fairfield, Connecticut AUGUST 23, 1983 October 807 November 11-12, 1983 San Luis Obispo, California AUGUST 25, 1983 October 808 November 11-12, 1983 Evanston, Illinois AUGUST 29, 1983 October 809 january 25-29, 1984 Louisville, Kentucky NOVEMBER 2, 1983 January {90th Annual Meeting) 1984 April 6-7, 1984 Notre Dame, Indiana January 9-13, 1985 Anaheim, California {91 st Annual Meeting) January 21-25, 1987 San Antonio, Texas {93rd Annual Meeting)

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Volume 30, Number 4, June 1983

EDITORIAL COMMITTEE Paul F. Baum, Ralph P. Boas Raymond L. johnson, Mary Ellen Rudin Bertram Walsh, Daniel Zelinsky Everett Pitcher (Chairman) MANAGING EDITOR Lincoln K. Durst ASSOCIATE EDITORS 386 National AMS Colloquium of Chairmen of Hans Samelson, Queries Departments in the Mathematical Sciences Ronald L. Graham, Special Articles 387 BDF or The Infinite Principal Axis Theorem, SUBSCRIPTION ORDERS P.R. Halmos Subscription for Vol. 30 (1983): 392 CEEP Data Reports: New Classification of $39 list, $20 member. The subscription Graduate Departments, Donald C. Rung price for members is included in the annual dues. Subscriptions and orders 394 News and Announcements for AMS publications should be 398 NSF News & Reports addressed to the American Mathematical 400 Letters to the Editor Society, P. 0. Box 1571, Annex Station, Providence, Rl 02901. All orders must 403 Queries be prepaid. 404 1983 AMS Elections ORDERS FOR AMS BOOKS AND 405 Future Meetings of the Society INQUIRIES ABOUT SALES, SUBSCRIP­ Albany, August 8-71, 405 TIONS, AND DUES may be made by Fairfield, October 28-29, 425 calling Carol-Ann Blackwood at San Luis Obispo, November 71-12, 427 800-556-7774 (toll free in U.S.) between Evanston, November 17-12, 428 8:00 a.m. and 4:15 p.m. eastern time, Call for Topics, 429 Monday through Friday. Invited Speakers and Special Sessions, 432 CHANGE OF ADDRESS. To avoid 434 Special Meetings interruption in service please send AMS Reciprocity Agreements address changes four to six weeks in 439 advance. It is essential to include the 445 New AMS Publications member code which appears on the 449 Miscellaneous address label with all correspondence Personal Items, 449; Deaths, 449; regarding subscriptions. Visiting Mathematicians, 450 INFORMATION ABOUT ADVERTISING 453 Acknowledgement of Contributions in the Notices may be obtained from Wahlene Siconio at 401-272-9500. 458 AMS Reports & Communications Treasurer's Report, 458; CORRESPONDENCE, including changes Recent Appointments, 460; of address should be sent to American Reports of Past Meetings: College Park, 460; Mathematical Society, P.O. Box 6248, Denver, 461; April Council Meeting, 463 Providence, Rl 02940. 464 Advertisements Second class postage paid at Providence, Rl, and additional mailing 468 Registration Forms offices. Copyright © 1983 by the Summer List of Applicants, 468, 469; American Mathematical Society. Albany Preregistration and Housing Printed in the of America. Reservation Form, 471, 472 National AMS Colloquium of Chairmen of Departments in the Mathematical Sciences

The American Mathematical Society spon­ After Dr. Infante's presentation of the cur­ sored a National Colloquium of Chairmen of rent and projected picture of funding in the Departments in the Mathematical Sciences in Mathematical Sciences Section of the NSF, the Washington, D.C., on April 8 and 9, 1983. The chairmen reached the following conclusions: they Colloquium heard reports on the history and enthusiastically commented on the effort of the present status of funding in the mathematical mathematical community to increase the base sciences from Kenneth Hoffman, Chairman of the of support in the mathematical sciences in the AMS Committee on Science Policy, and from federal agencies, and the projected improvement the following representatives of Federal agencies: in the FY1984 NSF budget; strongly endorsed Edward Wegman, ONR, Jagdish Chandra, ARO, the infusion into the NSF budget of new support Donald Austin, DOE, Ettore F. Infante, NSF. for graduate students; supported the concept of The program of the Colloquium consisted postdoctoral research appointments and recom­ of talks and discussions, including OPENING mended that they be used in combination with REMARKS by Kenneth Hoffman, MIT, discus­ junior faculty appointments; and deplored the sion of AGENCY SUPPORT by the agency rep­ waste of mathematical talent and the negative resentatives named above, a discussion of CoN­ effect on mathematical research caused by the CERNS OF DEPARTMENT CHAIRMEN led by past reduction in the number of senior research Guido Weiss of Washington University and John mathematicians supported on grants. They urged A. Nohel of the Mathematics Research Center, that the present level of support for senior inves­ Madison; discussion of PRIORITIES led by Wil­ tigators at least be maintained in FY 1984 and liam Browder of and Heini that every effort be made to increase research Halberstam of the University of illinois, Urbana­ support in the future to assure that every inves­ Champaign; and a final discussion of the KEY tigator who makes fundamental contributions to ISSUES led by Felix Browder of the University the mathematical sciences can receive adequate of Chicago, M. S. Baouendi of Purdue University support. and Hugo Rossi of the University of Utah. They also expressed the hope that such The conclusion of the meeting was that a national gatherings will be held regularly, subject crisis of major proportions in mathematical to two modifications: that future meetings be research will soon be upon us in the United more structured, with detailed agenda and States. The worldwide preeminence of American preliminary papers, and that such meetings mathematicians since the Second World War, be jointly sponsored by a broader spectrum of an integral part of American economic and professional societies. The AMS Committee on technological success, is threatened. Chronic Science Policy will try to be the catalyst for underfunding of the mathematical sciences at bringing this about, probably through the use the federal, local and university levels during of a small organizing committee of department the past decade has undermined the foundations chairmen. Discussion within departments of of American leadership. A serious shortage of the issues reflected in the reports in the April research-trained mathematicians is developing. 1983 issue of the Notices (pages 268-301) is Not only will mathematical research suffer, but urged. Further information, including the names the training of future generations of scientists and and addresses of the Federal Agency spokesmen engineers will be adversely affected. involved, may be obtained from Kenneth M. The chairmen agreed that recent initiatives of Hoffman, Chairman of the AMS Committee the Administration in the NSF research budget on Science Policy, Massachusetts Institute of are a welcome first step in addressing this serious Technology, Cambridge, Massachusetts 02139. situation. However, only continuous efforts of this kind for many years at all levels will enable American mathematics to carry out its central role in American science and technology.

386 BDF or The Infinite Principal Axis Theorem by P.R. Halmos

The most famous result of finite-dimensional just found, and form P'AP (where P' is the linear algebra is the so-called principal axis transpose of P). Either way, the result is a theorem: real symmetric matrices can be diagonal­ diagonal matrix, a "diagonalized" version of A. ized. An infinite-dimensional generalization is The complex generalization of the procedure is called the spectral theorem; that's old. A much natural and important. If A is not symmetric deeper and more spectacular infinite version is (aij = aji) but Hermitian (conjugate symmetric, at the same time much newer; it was discovered aij = aji), the eigenvalues are still real, an in 1973 by Brown, Douglas, and Fillmore (BDF). orthonormal basis of eigenvectors can still be Their contribution has two parts: insight into found, and the result of either (1) or (2) is a a structure and construction of a proof. The diagonalization of A. In its algebraic version the insight is ingenious and beautiful; the proof is diagonalization is U*AU, where U is unitary (the complicated and difficult. I hope and believe that complex analogue of orthogonal) and U* is its the proof will become simple some day. Until conjugate transpose. then, all that a report like this can do is describe Hermitian matrices are clearly not the only the insight. ones that can be unitarily diagonalized: a trivial counterexample is a diagonal matrix(!) with some Diagonalization. Given a real symmetric matrix non-real entries. Is there a usable characterization A, find its eigenvalues (the roots of the charac­ of diagonalizability? The answer is one of teristic equation), and find a corresponding or­ the major accomplishments of linear algebra: a thogonal set of eigenvectors of length 1. The necessary and sufficient condition on a matrix A diagonalization procedure can be described in two that there exist a unitary matrix U for which equivalent ways, geometric and algebraic. (1) Ex­ U* AU is diagonal is that A and A* commute press the linear transformation that A defines (AA* =A*A). The matrices that satisfy the as a matrix with respect to the orthonormal condition are called normal. The principal axis basis of eigenvectors so found. (2) Let P be theorem for normal matrices makes it easy to an orthogonal matrix (a rotation) that sends the decide when two of them are unitarily equivalent original "natural" coordinate basis onto the one (meaning A= U*BU for some unitary U). The Paul R. Halmos was educated at the University condition is that they have the same diagonal of Illinois where he received his Ph.D. with a thesis form, or, more geometrically put, that they have prepared under the supervision of J. L. Doob. He has held appointments at Illinois, Syracuse, the same eigenvalues, with, moreover, the same Chicago, Michigan, Hawaii, Santa Barbara, and multiplicities. (currently) Indiana University in Bloomington. He was a Guggenheim Fellow in 1947-1948. He hnitation. In both classical hard analysis and is a Fellow of the Royal Society of Edinburgh the modern soft kind, and in their applications and a Member of the Hungarian Academy of as well, it is important to understand the infinite Science. He is presently the editor of the American case. There are two ways to try to do that: Mathematical Monthly and a member of the imitate the finite case and keep as much as you Executive Committee of the Council of the AMS. can, or change it, modulate it, and see what can This is the written version of an invited address happen that's really new. delivered to the Mathematical Association of America at its Denver meeting on 7 January Imitation can go a long way quite smoothly. 1983. The title of the address was How to throw Vectors become infinite sequences (xt, x2, x3, .. . ) small matrices away, or, Just what did Brown, instead of finite ones, but inner products ( x, y) = Douglas, and Fillmore do in 1973? Work on the L:nXnYn and norms llxll = (L:n !xnl 2) 112 are preparation of this report was supported in part by defined the same way as always. For these a grant from the National Science Foundation. definitions to make sense, it is, of course,

387 necessary to restrict suitably the infinite sequences The equation is intended to say that the set considered (the series .L:n lxnl 2 must converge), of all matrices of the form U*DU, where U is but that only makes the theory easier, not harder. unitary and D is diagonal, coincides with the The norm induces a natural notion of distance set of all normal matrices. The corresponding (d(x, y) = llx- yll); the metric space so obtained infinite-dimensional statement is just plain false. is complete, and all is well. The concept of One concrete counterexample is dimension (for subspaces of the vector space 0 1 0 0 being studied) makes sense and has all the right 0 1 0 properties. 0 1 0 1 As a matter of topological courtesy, the linear transformations studied in the infinite case should 0 0 1 0 be continuous. Continuous linear transformations are representable by matrices, as are all linear It is easy to see that it is not unitarily equivalent transformations in the finite case. The only to any diagonal matrix-it has, in fact, no phenomenon that some students find disconcerting eigenvalues at all. The infinite-dimensional at first is that not every matrix can occur as such spectral theorem has to be subtler than the finite­ a representation. Consider, for instance, the dimensional one; eigenvalues and eigenvectors infinite matrix for which each entry above the have to be replaced by "approximate" eigenvalues main diagonal is 0 and each entry on or below is 1. and eigenvectors. That matrix does not map every square summable sequence (vector) to a square summable sequence. Modulation. What happens when we stop trying The matrices that do not misbehave in that way to imitate the finite case too closely and go are called bounded. The perfect correspondence instead to the other extreme to consider the between linear transformations and matrices in strictly infinite theory only? The idea is to declare the finite case becomes, in the infinite case, a everything finite to be trivial, discard it, and work perfect correspondence between continuous linear with what remains. transformations and bounded matrices. In view The rank of a linear transformation is the of that correspondence people frequently speak as dimension of its range. If a linear transformation if linear transformations and matrices were one has finite rank, then it behaves in all algebraic and the same thing, a harmless practice. respects like a linear transformation on a finite­ A bounded matrix has a norm. The norm dimensional space, and, from the present point of of A is, by definition, the maximum stretching view, it is trivial. factor, or, precisely, the supremum of the lengths Here is what that means in more detail. The of all the images under A of vectors of length set B of all bounded matrices is an algebra over 1; it is denoted by IIAII· Some other standard the complex field, and the set J of all matrices of matrix concepts also come gratis. The adjoint A* finite rank is an ideal in that algebra. To say that of A is the conjugate transpose; A is Hermitian J is an ideal in B means that J is closed under if A= A*; A is normal if AA* =A*A; and U the formation of linear combinations, and that, is unitary (surely nobody could denote a unitary moreover, ifF is in J and A is an arbitrary matrix matrix by A?) if UU* = U*U = 1 (the identity in B, then both AF and FA are in J. To "discard" matrix). all matrices of finite rank means to identify them It is illuminating, throughout the theory, to all with 0, or, in proper mathematical language, examine the manifestations of the concepts to form the quotient algebra B/ J. in the special case of diagonal matrices. If A = The identification process works, but not yet diag(}q, A2, As, ... ) is the diagonal matrix with well enough. The trouble is topological. It is the indicated diagonal entries, then IIAII is the possible to have a sequence of discarded matrices supremum of all the A's (not the square root of that converges to a matrix that is not discarded. the sum of the squares); A*= diag(\1 , '\2, '\s, ... ); In other words, the set 7 is not closed, and that A is Hermitian if and only if the A's are real; A is causes some unpleasantness. The cure is near automatically normal no matter what the A's are; at hand: close it. If K is the closure of J, the and A is unitary if and only if IAnl = 1 for all n. matrices in K are called compact. (Example: One way to express the finite-dimensional if A= diag(A 1 , A2, As, ... ), then a necessary and diagonalization theorem is to write U*DU = N. sufficient condition that A have finite rank is that

388 on~y finitely many of the )..'s be different from 0; if nullity A= co-rank A= 0, where nullity is the for A to be compact it is necessary and sufficient dimension of the kernel and co-rank is the co­ that An~ 0.) The set K is a closed ideal. The dimension of the range. A famous and useful really profitable (or should I say profligate?) way theorem due to Atkinson gives the analogue of to declare everything finite to be trivial is to form the geometric condition for essential invertibility: the quotient with respect to K instead of 1. A is essentially invertible if and only if both the nullity and the co-rank of A are finite. Invertibility. Recall now the elementary al­ can an essentially invertible gebraic concept of spectrum. The spectrum of How non-invertible Both the nullity and the co-rank a matrix A is, by definition, the set of all those matrix be? of non-invertibility; the larger they complex numbers ).. for which A- \ is not inver­ are measures normal tible. (The symbol A- ).. is an abbreviation for are, the less invertible the matrix is. For matrices the nullity and the co-rank are equal, and A-).. · 1.) For finite matrices the spectrum consists case they are equal for all exactly of the eigenvalues, and, in particular, the in the finite-dimensional they spectrum of a diagonal matrix is the set of its matrices, normal or not. For infinite matrices diagonal entries. For infinite matrices invertibility can be different. One example is the matrix 8 is a somewhat subtler concept, and, in particular, mentioned above; nullity 8 = 0 and co-rank 8 = 1. called the spectrum of a diagonal matrix is the closure The difference, nullity minus co-rank, is of the set of its diagonal entries. What does the (Fredholm) index of a matrix, so that, for spectrum mean after the finite case is discarded? example, the index of 8 is -1. The question comes down to this: which The spectrum of a matrix is defined in terms matrices are invertible modulo K? In ordinary of invertibility, and the "essential" analogue of language a matrix A is called invertible if there the definition makes good sense. The essential exists a matrix X such that AX= XA = 1, or, spectrum of a matrix is the set of all those equivalently, l-AX= 1-XA= 0. To say that complex numbers ).. for which A - \ is not A is invertible modulo K should therefore mean essentially invertible. That's what the concept that there exists an X such that both 1 -AX and of spectrum becomes if finite-dimensionality is it look for 1-X A are identified with 0 ~in other words, both irretrievably discarded. How does are compact. In a technical term, in harmony the standard illuminating example of a diagonal with currently accepted usage, A is essentially matrix A= diag(>-.1, >-. 2 , >-. 3 , ••• )? The answer is invertible. (Most authors say instead that A is a easy and pleasant: the essential spectrum of A Fredholm matrix.) Here is a nontrivial example. is the cluster set of the sequence of its diagonal If entries. In other words, the essential spectrum 0 0 0 0 of A consists of those complex numbers that are 1 0 0 0 limits of convergent infinite subsequences of the 8= 0 1 0 0 sequence {>-.1,>-. 2 ,>-. 3 , ... }~the numbers that are, roughly speaking, in the spectrum for infinitely 0 0 1 0 many reasons. If, for instance,

A= diag (~, 0, ~, 0, ~, 0, ~' 0, ... ), then 8*8 = 1 but 88* =1- 1; the difference 1-88* is, however, compact (in fact, it has rank 1). then the essential spectrum of A consists of the The matrix 8 is not invertible (its range contains two numbers 0 and 1. only vectors whose first coordinate is 0), but it A somewhat harder example is the matrix 8; it is essentially invertible; the matrix 8* acts as an turns out that its essential spectrum is the unit essential inverse. circle {>-.: l\l = 1}. It follows that if 1>-.1 =1- 1, How can one tell whether a matrix is essentially then 8 - \ is essentially invertible, and that, invertible? The natural geometric condition therefore, 8 - \ has an index. The calculation is for ordinary invertibility is that the linear neither trivial nor terribly deep; the result is that transformation the matrix represents be one-to­ index (8 -\) = -1 if 1>-.1 < 1 and index (8->-.) = 0 one and onto. In other words, A is invertible if 1>-.1 > 1. This kind of question can be asked exactly in case ker A is zero and ran A is the for every matrix A; if \ is not in the essential whole space. The abbreviations ker and ran stand spectrum of A, what is the index of A->-.? The for kernel (which is the same as null-space) and answers define an integer-valued function on the range. Equivalently, A is invertible if and only complement of the essential spectrum, called the

389 index function of A; it plays an important role in essentially infinite version of the principal axis the main theorem. theorem has been achieved in complete generality. Weyl-von Neumann-Berg. Once these basic con­ Not so. The Weyl-von Neumann-Berg theorem cepts about essential invertibility and, more answers the right question, the hard question, generally, essential spectrum are at hand, it the question of essential unitary equivalence, but becomes possible to state the basic facts. it answers it for the easiest class of matrices The first basic question is this: which matrices only, the class of normal matrices. The "right" are essentially diagonalizable, or in the earlier, class in the essentially infinite case consists of the informal language, diagonalizable after everything essentially normal matrices. finite has been thrown away? In other words: What are they and how do they arise? They what is the class U*(J) + K)U, the class of matrices arise completely naturally-as soon as you see unitarily equivalent to diagonal matrices modulo the definition, you will probably be surprised you K? For Hermitian matrices the answer has didn't think of it yourself. They are the matrices been long known and is simple and satisfying: A such that A*A-AA* is essentially zero, or, in every Hermitian matrix is essentially unitarily other words, compact. Example: the matrix S. equivalent to a diagonal matrix. More explicitly: From what has already been said it is obvious if A is Hermitian, then there exists a diagonal that S is essentially normal but not normal. It matrix D (with real diagonal entries), and there could happen that the theory of S is covered by exists a compact Hermitian matrix K such that the Weyl-von Neumann-Berg theorem-it would A=D+K, be so covered if S were of the form N + K, with N normal and K compact-but it is not (as a where denotes unitary equivalence. = slight bit of additional argument shows). Ail an impressive special case, consider a Her­ mitian matrix A that has no eigenvalues at all; What then is the truth for essentially normal one such example, already considered above, is matrices? Could it be that two of them are A= S + S*. The result just stated, due, inciden­ essentially unitarily equivalent if and only if they tally, to Weyl (1909) and von Neumann (1935), have the same essential spectrum? No, that's not implies that A is essentially diagonalizable-that true: the facts are more interesting than that. is, there exists a diagonalizable matrix B such The matrix S shifts the natural basis vectors that A-B is negligibly small (compact). forward by one unit. If, in other words, Isn't that astonishing? When we first approach e1 = (1, 0, 0, ... ), e2 = (0, 1, 0, ... ), etc., then Se1 = infinite matrices, we are told that diagonalization e2 , Se2 = e3 , etc. Consider a matrix T that does not work; the spectral theorem has to be cyclically permutes all the basis vectors-say, for much trickier. When, however, we stop trying to instance, the matrix whose effect on the en's imitate finite-dimensionality too slavishly and, imitates the permutation instead, completely discard it, the result is 1-+ 3-+ 5 -+ 7· .. stronger and simpler than the finite one. It is an easy corollary of the Weyl-von Neumann theorem i that two Hermitian matrices are essentially 2~4~6 ~8··· unitarily equivalent if and only if they have the The matrix T looks like this: same essential spectrum; the extra complication 0 1 0 0 0 0 0 0 of multiplicity is no longer needed. Can the Weyl-von Neumann theorem be ex­ 0 0 0 1 0 0 0 0 tended to normal matrices? I raised the question 1 0 0 0 0 0 0 0 in 1970 and it was pooh-poohed by the experts: 0 0 0 0 0 1 0 0 sure, they said, you just do "the same thing" . 0 0 1 0 0 0 0 0 The same thing didn't work. It took a remarkably 0 0 0 0 0 0 0 1 complicated argument by I. D. Berg to break 0 0 0 0 1 0 0 0 through the difficulties and prove that every is also unitarily equivalent to a 0 0 0 0 0 0 0 0 D + K; the result is now known as the Weyl-von Neumann-Berg theorem. It takes a bit of proving, not too much, that the Essential normality. It is tempting at this stage essential spectrum of T is the same as that of to think that we can rest on our laurels: the S (namely, the unit circle). Since, moreover, T

390 is normal (in fact unitary), it follows that the Is N + K a closed set? The question itself index of T - A is equal to 0 for every number is not vitally important, but people had tried A not on the unit circle, i.e., that the index unsuccessfully to find the answer, and prove it, function of T differs from the index function of S for some time before the BDF breakthrough. The in the interior. Consequence: although S and T answer is yes; the set N + K is closed. The proof have the same essential spectrum, they cannot be is an almost immediate corollary of BDF. The essentially unitarily equivalent. full power of the theorem is not needed, but even Once you understand the obstacle, you can the part that is needed (the case in which the easily guess your way around it. (Proofs are index function is identically 0) was virgin territory something else again.) The obstacle is the index before BDF. No proof independent of the depth function-very well, build that into the theorem. of BDF is known yet. The result is the deepest and most valuable The Brown-Douglas-Fillmore step forward was forward step in operator theory in the 1970s (and a great one, it brought into being a new part there were quite a few impressive ones)--it is the of the operator industry, and it has already had theorem of Lawrence G. Brown (Purdue), Ronald many valuable generalizations and applications. G. Douglas (Stony Brook), and Peter A. Fillmore It has not, however, answered all questions. My (Dalhousie). second comment is a sample unanswered question; A necessary and sufficient condition that two it has to do with the invariant subspace problem. essentially normal matrices be essentially unitarily The problem is this: does every continuous linear equivalent is that they have the same essential transformation have a non-trivial closed invariant spectrum and the same index function. subspace? For the normal case the affirmative Note that the theorem, the crowning glory of the solution is classical and easy; for the compact case theory of normal matrices, reinstates something it could be called classical by now (Aronszajn and very like multiplicity (namely index) into the Smith, 1954). What about normal plus compact? characterization of (essential) unitary equivalence. That is: is the desired conclusion true in N + K? Not only is that unknown, but just as unknown is Conclusion. I conclude with two comments, the answer to the same question for the apparently both having to do with the class N + K. The simpler class "Hermitian plus compact" . notation indicates the set N of all normal matrices and the set K of all compact ones. The symbol Reference N + K denotes their vector sum, that is the set L. G. Brown, R. G. Douglas, and P. A. Fillmore, of all operators of the form N +K, with N inN Unitary equivalence modulo the compact operators and extensions of C* -algebras, Proceedings of a Conference ap.d K in K. In other words, N + K is the set of on Operator Theory (, Halifax, all compact perturbations of normal matrices. Nova Scotia, 1973), Lecture Notes in Mathematics, volume 345, Springer, , 1973, pages 58-128.

EDITORS' NOTE. This article by P. R. Halmos is the fifth in the series of Special Articles I published in the Notices recently. The series was created to provide a place for articles on mathematical subjects of interest to the general membership of the Society. The Editorial Committee of the Notices is especially interested in the quality of exposition and intends to maintain the highest standards in order to assure that the Special Articles will be accessible to mathematicians in all fields. The articles must be interesting and mathematically sound. They are first refereed for accuracy and (if approved) accepted or rejected on the basis of the breadth of their appeal to the general mathematical public. Items for this series are solicited and, if accepted will be paid for at the rate of $250 per page up to a maximum of $750. Manuscripts to be considered for this series should be sent to Ronald L. Graham, Associate Editor for Special Articles, Notices of the American Mathematical Society, Post Office Box 6248, Providence, Rhode Island 02940.

391 CEEP Data Reports New Classification of Graduate Departments by Donald C. Rung

The Data Subcommittee of the Committee while the 1964 Cartter report had 25 departments on Employment and Educational Policy (CEEP) in Group I and 21 departments in Group II. publishes the Annual AMS Survey covering Before 1968 several different methods were used salaries, faculty mobility, enrollments and other to classify departments, including the number of related material. In many of these reports pages published by departmental faculty me?lbers the data are presented using a classification of in Society journals and, before that, s1ze of departments into Groups. Departments with department and whether in a public or private graduate programs are currently divided into six university. groups. It is not expected that this new grouping of Since 1968, Groups I and II have been defined mathematics departments will produce any serious by reputational surveys, using first the 1964 discontinuity in the various reports, especially Cartter evaluation and, subsequently the 1970 the salary survey. The 1982-1983 salary figures Roose-Andersen evaluations. In both of these (reported in the November 1982 Notices, pages studies Group I was defined as those U.S. 630-638) have been re-calculated using the new mathematics departments whose rating of the grouping and little difference was observed. The quality of graduate faculty was in the 3.0 to 1982-1983 salary figures for Groups I and II using 5.0 range and Group II consisted of those U.S. the new and old definitions are given in Table II. departments with ratings between 2.0 and 2.9. The 1964 and 1970 surveys did not include Since 1973 Group III has been defined in the AMS as a separate discipline, while the recent Survey reports as the remaining U.S. departments assessment included a separate rating of programs of mathematics which report a doctoral program. in statistics and/or biostatistics. Group IV in the In September 1982 a new assessment of graduate surveys (statistics, biostatistics and biom~trics) programs in the mathematical sciences, conducted will be updated to include programs rated m the by the Conference Board of Associated Research 1982 assessment, together with other programs Councils, was published (see the April 1983 which report having a doctoral program in these Notices, pages 257-267, for a report on this disciplines. assessment). The Annual AMS Surveys will use The response rate to the various parts of this new assessment in assigning departments to the CEEP surveys has always been low for Groups I and II. While the 1982 assessment of Group v, which consists of departments . of graduate programs did not establish any grouping computer science, operations research and apphed of departments, it did retain the same scale and mathematics. The Data Subcommittee of CEEP nomenclature in the rating of quality of graduate has decided to drop programs in computer faculty that was used in both the 1964 and 1970 science departments from future surveys, since evaluations. CEEP has decided to maintain the the response rate in this discipline has been quite same definitions for Groups I and II: Group I Subcommittee proposes to publish 1 poor. The will consist of those 39 mathematics departments reports of surveys of computer science from other with scores of at least 3.0 in the quality of sources whenever they are available. It should graduate faculty rating and Group II will consist be noted that many computer science programs of those 43 departments with scores in the range in colleges and universities which do not have 2.0 to 2.9. Group III will continue to contain the doctoral programs in mathematics are to be with remaining U.S. departments of mathematics found in a mathematics or mathematical sciences I and II are doctoral programs. The new Groups department and thus are included in Groups M listed in Table I. and B. The 1970 Roose-Andersen survey had 27 Lastly the Subcommittee has decided to include in Group I and 38 in Group II, departments only U.S. departments in Groups M and B, since lThe University of Maryland had two departments, the response rate from Canadian departments in mathematics and , rated in the 1982 these two categories has been very low. Salary assessment of mathematics departments. Both had the information for -granting mathematics same 3.5 assessment of quality of graduate faculty. The departments in Canadian Universities will con­ mathematics department is included in Group I, and the applied mathematics department is in Group v. tinue to be reported in Group VI in these surveys.

392 Table I. Groups I and IT Universities According to the New Rating

Group I (Scores ranging from 9.0 to 5.0} Group ll {Scores ranging from 2.0 to 2.9} Arizona, University of Brown University California, University of (Davis) California Institute of Technology California, University of (Riverside) California, University of (Berkeley) California, University of (Santa Barbara) California, University of (Los Angeles) Case Western Reserve University California, University of (San Diego) Claremont Graduate School Carnegie-Mellon University Colorado, , University of Connecticut, University of Dartmouth College Delaware, University of CUNY Graduate School Duke University State University lllinois, University of Florida, University of lllinois, University of (Chicago) Georgia Institute of Technology Indiana University Georgia, University of Iowa State University Maryland, University of Iowa, University of Massachusetts Institute of Technology Kansas, University of Michigan, University of Kentucky, , University of Louisiana State University Massachusetts, University of (Amherst) North Carolina, University of Michigan State University Northwestern University New Mexico, University of North Carolina State University Pennsylvania State University Northeastern University Pennsylvania, , University of Princeton University Oklahoma, University of Purdue University Rice University Oregon, University of Rutgers University Pittsburgh, University of Stanford University Polytechnic Institute of New York SUNY at Stony Brook Rensselaer Polytechnic Institute Texas, University of (Austin) Rochester, University of Utah, University of Southern California, University of Virginia, University of SUNY at Albany Washington University SUNY at Buffalo Washington, University of Wisconsin, University of Temple University Yale University Tennessee, University of Tulane University Vanderbilt University Virginia Polytechnic Institute & State University Wayne State University Table ll. 1982-1983 Salary Figures for Doctorate Granting Departments Old Version New Version Group I (20 of 27 reporting) (31 of 39 reporting)

WITH DOCTORATE Minimum Median Maximum Minimum Median Maximum Assistant Professor 190(197-217) (212-226) (223-250)280 180(197-222) (210-240) (223-252)280 Associate Professor 216(237-255) (260-288) (285-318)364 216(233-273) (260-296) (285-325 )368 Professor 262(283-372) (381-460) (545-629)655 252(287-343) (384-451) (540-600)655

Group II (30 of 38 reporting) (36 of 43 reporting)

WITH DOCTORATE Minimum Median Maximum Minimum Median Maximum InstructorI Lecturer 155(166-200) (173-210) (180-210)236 155(170-200) (173-200) (180-200)304 Assistant Professor 180(200-219) (211-240) (236-260)290 170(192-215) (213-235) (236-270)290 Associate Professor 196(229-269) (263-303) (293-355)406 196(231-260) (259-296) (293-358)406 Professor 250(283-323) (361-419) (510-570)850 250(285-324) (354-419) (483-604)850

NOTE: The numbers in parentheses give the range of the middle fifty percent of salaries reported. The figures outside the parentheses represent the minimum and maximum salary listed by any reporting institution.

393 News and Announcements

Sloan Fellowships Awarded MARTIN DAVIS (Courant Institute of Mathe­ matical Sciences, New York University), Logical Sloan Fellowships for Basic Research for 1983- antecedents of computer science; EDWARD FOR­ 1984 have been awarded to eighty-eight outstand­ MANEK (Pennsylvania State University), Studies ing scientists, including twenty mathematicians. in ring theory; DAVID GRIES (Cornell University), The recipients were selected on the basis of their Studies in sequential and concurrent programming; exceptional potential to make creative contribu­ JOHN GUCKENHEIMER (University of Califor­ tions to scientific knowledge. nia, Santa Cruz), Mathematical models of The fellowships, granted by the Alfred P. Sloan turbulence; ROGER E. HOWE (Yale University), Foundation, run for two years and are in the Dual pairs and the trace formula; HSIANG-TSUNG amount of $25,000. Candidates for fellowships KUNG (Carnegie-Mellon University), Studies in are nominated by senior scientists familiar with the design of computer systems; TZE LEUNG their talents. Fellows need not pursue a specified LAI (Columbia University), Studies in sequential research project and are free to shift the direction statistical methods and adaptive stochastic control; of their research at any time. The grants are H. BLAINE LAWSON, JR. (State University of administered by the Fellows' institutions. New York, Stony Brook), Studies in differential S. S. Chern of the University of California, geometry and topology; BARRY C. MAZUR Berkeley, Peter D. Lax of New York University, (Harvard University), The arithmetic of elliptic Courant Institute of Mathematical Sciences, and curves; BORIS MOISHEZON (Columbia Univer­ David Mumford of Harvard University are the sity), The classification of algebraic surfaces; mathematicians on the fifteen-member selection GARRETT M. ODELL (Rensselaer Polytechnic committee. Institute), Studies in biomathematics; GEORGE The mathematicians awarded Sloan Fellowships C. PAPANICOLAOU (Courant Institute of Math­ for 1983, with their affiliations, are: SELMAN AK­ ematical Sciences, New York University), Macro­ BULUT (Michigan State University), GUNNAR scopic properties of disordered media; GLENN E. CARLSSON (University of California, San R. SHAFER (University of Kansas), Construc­ Diego), DAVID W. CATLIN (Princeton Univer­ tive probability judgment and decision theory; sity), CHRISTOPHER R. CROKE (University of and RICHARD P. STANLEY (Massachusetts Irt­ Pennsylvania), DAVID FRIED (Boston University), stitute of Technology), Interactions between com­ EVANS M. HARRELL (Johns Hopkins Univer­ binatorial mathematics and representation theory. sity), MICHAEL HARRIS (Brandeis University), Mark Kac of the University of Southern VAUGHAN F. R. JONES (University of Penn­ California is chairman of the seven-member sylvania), SERGIU KLAINERMAN (New York Committee of Selection. University, Courant Institute of Mathematical Sciences), DANIEL MICHELSON (University of Congressional Seienee California, Los Angeles), TUDOR S. RATIU Fellow Appointed (University of Michigan), BRUCE A. REZNICK (University of illinois), ROBERT S. RUMELY The Conference Board of the Mathematical (University of Georgia), PETER SARNAK (New Sciences has announced the appointment of York University, Courant Institute of Mathe­ CHARLES G. BIRD of the General Motors matical Sciences), PAUL D. SEYMOUR (Ohio Research Laboratories as the AMS-MAA-SIAM State University), BIRGIT SPEH (Cornell Univer­ Congressional Science Fellow for 1983-1984. This sity), DAVID A. VOGAN, JR. (Massachusetts fellowship, which is one of some thirty such Institute of Technology), W. HUGH WOODIN fellowships in various fields of science, has (California Institute of Technology), CHIEN-FU been offered annually for several years as part Wu (University of Wisconsin) and WOLFGANG of a program administered by the American ZILLER (University of Pennsylvania). Association for the Advancement of Science. Congressional Science Fellows spend the fellowship Guggenheim Fellowships year working on the staff of an individual congressman or of a congressional committee Fifteen John Simon Guggenheim Fellowships or in the congressional Office of Technology have been awarded in mathematics and related Assessment. The 1982-1983 Fellow, John Chu areas for 1983. The award winners and their of the Polytechnic Institute of New York, is proposed studies are: MARK J. ABLOWITZ serving on the staff of Senator Daniel K. Inouye (Clarkson College of Technology), Studies in (D, Hawaii). The AMS-MAA-SIAM fellow will nonlinear evolution equations arising in physics; receive a stipend of $22,000 for the year.

394 Fulbright Awards for 1982-1983 Berkeley) will do research in medical science at the University of Southampton, England. Myles Twenty-one Fulbright awards were made to Tierney (Rutgers University, New Brunswick) American scholars in the mathematical sciences will lecture and do research in mathematics at for the 1982-1983 academic year. The awards the University of Sydney, Australia. Julius M. for lecturing, consultation, research, or travel Zelmanowitz (University of California, Santa Bar­ were announced by the Council for International bara) will do research in mathematics at the Exchange of Scholars. Technical University of Munich, West Germany. The recipients of the awards, their proposed Raymond Andrew Zepp (National University of activity, and the institutions which they will visit Lesotho, Roma, Lesotho) will lecture in mathe­ are listed below. matics at the University of Abidjan, Ivory Coast. In Computer Science: Robert McLean Aiken (University of Tennessee, Knoxville) will lecture Bell Laboratories in computer science at the National Institute Graduate Scholarship Program of Statistics, Rabat, Morocco. Stefan Andrus is Burr (CUNY, City College) will lecture and do The Bell Laboratories scholarship program research in computer science at the University of designed to support Ph.D. candidates through Coimbra, Portugal. Allen Paul Newell (Carnegie­ completion of their academic program. The tech­ Mellon University) will lecture in industrial ad­ nical review subcommittee of Bell Laboratories ministration at a seminar on artificial intelligence corporate contributions committee (C. K. N. will in Dubrovnik, Yugoslavia. Harry E. Pople, Jr. Patel, chairman; T. H. Crowley, T. L. Powers) (University of Pittsburgh, Pittsburgh) will lecture oversee the program. The subcommittee members will in communications at a seminar on artificial in­ will determine at which schools scholarships the scholars. telligence in Dubrovnik, Yugoslavia. Andrew be awarded and will help to select will be managed Frederick Seila (University of Georgia) will do It is expected that the program which scholarships are awarded. research in computer science at the University by universities at twenty-five scholarships will of Zagreb, Yugoslavia. Ivan Hal Sudborough It is anticipated that annually and, in its steady state, the (Northwestern University) will do research in com­ be awarded have one hundred scholarships in puter science at the National Technical University program will of Athens, Greece. Richard Johnston Wood effect. and permanent (University of Maryland, College Park) will lec­ This program is open to citizens The candidates ture in computer science at the University of Paris residents of the United States. be recommended by their department VI, France. must chairmen. Continuing annual eligibility will be In Mathematics: Douglas M. Campbell (Brigham contingent upon several factors including approval Young University) will do research in geometric by the department chairmen and by indication function theory at Madras University, India, on of reasonable progress toward completion of the an Indo-American Fellowship. Richard Clyde Ph.D. program. DiPrima (Rensselaer Polytechnic Institute) will Bell Laboratories Scholarships will include do research in applied mathematics at Weizmann yearly stipend of $8,400 and cover actual Institute of Science, Rehovoth, Israel. Rita a costs of full tuition, books and recurring fees, Mae Ehrmann (Villanova University) will lec­ and a summer research assignment at a Bell ture in mathematics at University College of Laboratories location. Botswana, Gaborone, Botswana. Michael D. Fried awards will not be portable (University of California, Irvine) will do research These scholarship associated with a specific department in mathematics at the University of Helsinki, but will be university. Finland. Alan L. Hopenwasser (University of and Alabama, Tuskaloosa) will lecture and do research in mathematics at the University of Oslo, Norway. Document Delivery Service David Corey Kurtz (Salem College) will lecture Inaugurated by in mathematics at Chancellor College, Zomba, Mathematical Reviews and MATHFILE Malawi. George Frank McNulty (University of South Carolina, Columbia) will lecture in Mathematical Reviews is inaugurating a new mathematics at Ateneo de Manila University, document delivery service: effective immediately, Philippines. John Niman (CUNY, Hunter Col­ mathematicians may request copies of items lege), will lecture in mathematics at Padagogische covered in Mathematical Reviews or in Current Hochschule, Bonn, Federal Republic of Germany. Mathematical Publications. The service will Alan Ross (Johns Hopkins University) will lecture be available either directly from Mathematical in biostatistics at the University of Adelaide, Reviews or in conjunction with MATHFILE, the Australia. Hardeo Sahai (University of Puerto on-line electronic database version of Mathemati­ Rico, Rio Piedras) will lecture in statistics at cal Reviews. the National University in Bogota and Medellin, In announcing the new service, J. L. Selfridge, Colombia. Steve Selvin (University of California, Executive Editor of Mathematical Reviews,

395 pointed out that Mathematical Reviews receives Center for Multivariate Analysis in its Ann Arbor offices essentially every item of research mathematics published anywhere in the A Center for Multivariate Analysis (CMA) has world. The new document delivery service will been established at the University of Pittsburgh make that vast collection available to the math­ to stimulate research work on applied, theoretical ematical community, providing copies of items and computational aspects of multivariate analysis needed in research to those without other access to and related areas. Besides its research mission, such a broad collection. Users may make a request the Center will also sponsor symposia and short by mail to the Ann Arbor office of Mathematical courses. The permanent members of the Center Reviews, or through the document request services are P.R. Krishnaiah and C. R. Rao. 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Further information about the CMA may Dr. Selfridge emphasized that this service is be obtained by writing to: P. R. Krishnaiah, Director, Center for Multivariate Analysis, Ninth designed to assist those who need very rapid Floor, Schenley Hall, University of Pittsburgh, access to items or who need access to obscure Pittsburgh, Pennsylvania 15260. items not generally available through regular library channels. It is hoped that the combination of direct mail request and on-line request through Rollo Davidson Trust the MATHFILE vendors will put the service within The Trustees of the Rollo Davidson Trust easy reach of the entire mathematical community. announce that they have awarded a Rollo Davidson Prize to EDWIN PERKINS of the New Service Offered by BRS Department of Mathematics, University of British Columbia, Vancouver, British Columbia, Canada, BRS, one of the suppliers of MATHFILE, for his work on applications of non-standard the Mathematical Reviews computer-readable analyis to the solution of problems of outstanding database, has expanded its service for individual difficulty concerning 'local time' for brownian subscribers significantly. The BRS bibliographic motion. retrieval system has been used by libraries for This is the eighth year in which awards have many years. Recently BRS introduced a new been made by the Trust, which is supported by service intended to attract individual users by royalties associated with the two books Stochastic analysis and Stochastic geometry published as a offering special low rates for subscribers who use memorial tribute to Rollo Davidson in 1973 and the system in the evenings. 1974, and by donations to the Trust. BRS AFTER DARK is described as a simple, user-friendly, system. It is available from 6 p.m. P. S. Aleksandrov to midnight local time, and is designed for users of home computers or terminals. 1896-1982 The total cost of MATHFILE AFTER DARK is Pavel Sergeevich Aleksandrov of the University $13 per hour, including telephone charges. For of Moscow died on November 16, 1982 at the age information on subscribing to BRS AFTER DARK of 86. call BRS at 800-833-4707 or (in New York State) Aleksandrov was born May 7, 1896 in 518-783-1161. Bogorodsk ( Noginsk). He was educated

396 at the Smolensk grammar school and at Moscow Sciences. He was awarded an honorary Ph.D. by University, which he entered in 1913 and at Oslo University in 1950. which he remained for nearly seventy years. He He was a lecturer and professor at Perm graduated in 1917 and was appointed a lecturer University, 1918 to 1920, and professor at at Moscow in 1921. He was appointed to a Leningrad University and Polytechnical Institute, professorship in 1928 and received the Doctor of 1920 to 1934. Physical-Mathematical Sciences degree in 1934. He has long been well known for his important In the summers of 1923 and 1924 he visited work in analytic number theory. Gottingen. He spent the year 1925-1926 in Holland In recent years he was criticized for using his working with Brouwer and, in the summers position and influence to obstruct the careers of from 1925 to 1932, he lectured in Gottingen, Jewish mathematicians. where he also participated in Emmy Noether's seminar and where he and Hopf conducted a topological seminar. Aleksandrov and Hopf spent the academic year 1927-1928 in Princeton, where they laid the plans for their classic Topologie, a book they completed in 1935. In 1929 Aleksandrov became a Corresponding Member of the Academy of Sciences of the USSR and, in 1953, a full Member. He was also a member of the Gottingen Academy of Sciences, the Austrian Academy of Sciences, the Leopoldina Academy in Halle, the Polish Academy of Sciences, the Academy of Sciences of the German Democratic Republic and the National Academy of Sciences of the U.S.A. The Soviet Government awarded him the title Hero of Socialist Work and the Council of Ministers of the USSR awarded him a State Prize for his paper Homological properties of the disposition of complexes and closed sets. He was awarded the International Lobachevski1 Prize for the whole body of his work on homological dimension theory. He was widely regarded as the father of Addendum to the Report the Russian school of topology. He made substantial contributions to many parts of the in the April Notices subject-point-set topology, dimension theory, on the Assessment both geometric and algebraic, topology and of Research Doctorate Programs geometry of complexes, algebraic topology, and in the United States so on. In the April 1983 issue of the Notices, the article Newest Ratings of Graduate Programs in I. M. Vinogradov Mathematics reproduced (pages 259 to 261) three 1891-1983 reputational rankings of graduate programs in mathematics taken from the recent survey Ivan Matveevich Vinogradov, director of the published by the National Academy Press. In Steklov Institute of Mathematics of the Soviet these rankings New Mexico State University is Academy of Sciences, died in Moscow on March at the end of the lists with the description 20, 1983. NA. The article did not explain the characters Vinogradov was born September 14, 1891, in NA (not available). As noted in the original the village of Milolyub, Velikie Luki District. In publication, New Mexico State University was 1914 he was graduated from Leningrad University not ranked because of an error in the survey and, in 1929, he was awarded the degree of Doctor data. Thus no ranking was available for New of Physical-Mathematical Sciences and elected to Mexico State through no fault of the institution. the Academy of Sciences. In 1941 he became a As author of the article in the Notices, I Stalin Prize Laureate; in 1945 he was made a regret any confusion caused by the listing of Hero of Socialist Labor. He was an honorary or New Mexico State (and a few other universities corresponding member of the Armenian Academy with an NA entry) at the end of the rankings. of Sciences, the Royal Society of London, the It does not mean that they were ranked last, Paris Academy of Sciences, the Danish Academy only that for various reasons no ranking was of Sciences, the German Academy of Sciences, the available. Donald C. Rung Hungarian Academy of Sciences, the Accademia Lincei, and the American Academy of Arts and

397 National Science Foundation News f3 Reports

NSF, State Department Award Over 375 students who are American Indian, NATO Postdoctoral Fellowships Black, Mexican American, Pacific Islander or Puerto Rican submitted applications in a nation­ The National Science Foundation (NSF) and the wide competition for these fellowships, which were Department of State have announced the award of awarded on the basis of merit. fifty North Atlantic Treaty Organization (NATO) In response to the current shortage of advanced Postdoctoral Fellowships in Science. These scientific personnel in fields critical to the health of fellowships are awarded to young scientists for the nation's scientific endeavors, added emphasis full-time postgraduate study at institutions and was given to making awards in engineering, laboratories in NATO countries or in countries mathematics, and biology related fields. that cooperate with NATO. Panels of scientists, assembled by the National The fellowship program was initiated by NATO Research Council of the National Academy of in 1959 to advance science and technology and Sciences, reviewed and evaluated applications, to promote closer collaboration among NATO with final selections made by the Foundation. In members and associated countries. Each NATO addition to the fellowships awarded, NSF accorded country administers the program for its own honorable mention to 111 applicants. nationals. At the request of the Department Each fellowship provides a stipend of $6,900 per of State, NSF administers this NATO-funded year for full-time graduate study. NSF Minority program for U.S. citizens and nationals. Graduate Fellows may attend any appropriate Of the fifty awards announced, two are in non-profit U.S. institution of higher education. An the mathematical sciences; others are in the life annual education allowance of $4,000 is provided all tuition sciences, the physical sciences (including engineer­ to the institution by NSF in lieu of Three full years of graduate study are ing) and the social and behavioral sciences. This and fees. supported by each fellowship. The fellowships year's Fellows will attend institutions in Austria over a five-year period, so students (1), Belgium (2), Canada (5), Denmark (2), France may be used can incorporate teaching or research assistantships (7), Federal Republic of Germany (5), Ireland into their education during periods when they are (2), Italy (2), The Netherlands (3), Norway (1), not receiving fellowship support. Switzerland (1), and the United Kingdom (19). In addition to the awards announced this year, the awards were selected The fifty who received 147 individuals who previously received minority Foundation from 350 by the National Science fellowships may continue their study during the of their proposed plans of applicants on the basis 1982-1983 fellowship year. study after initial review and evaluation by panels The 1983 recipients in the mathematical of experts who are experts in their specialized sciences are listed below (the institutions in fields. parentheses are those awarding bachelor degrees, NATO fellows receive a stipend of $1,500 a those outside the parentheses are those at which month for up to twelve months. In addition, graduate study is to be pursued): JOHN EDWARD dependency allowances and limited allowances for ALCARAZ (University of California, San Diego), round-trip travel are provided. University of California, San Diego; ROBERT The two mathematical scientists, their fields EDWARD CRUZ (U.S. Air Force Academy), of study and the institutions they will attend Stanford University; RAUL ANTHONY DURAN are as follows: RUSSELL D. LYONS (University (California State University, Chico), University of of Michigan), , Universite California, Los Angeles; and VICTOR JOHN ENG de Paris-Sud, France; and BRUCE E. SAGAN (Tufts University), . (University of Michigan), Mathematical Sciences, -NSF News Release University College of Wales, Wales, United Kingdom. -NSF News Release NSF Graduate Fellowships Awarded NSF Awards Four hundred and fifty outstanding college stu­ Minority Graduate Fellowships dents have been offered fellowships for graduate study in the natural and social sciences, math­ The National Science Foundation (NSF) an­ ematics and engineering, the National Science nounced in March the award of fifty fellowships Foundation (NSF) announced in March. Forty­ to minority students of outstanding ability for eight of the awards were made to students major­ graduate study in the sciences, mathematics and ing in mathematics or computing. engineering. Four of the fifty awards are in the More than 3,450 students submitted applica­ mathematical sciences. tions in the nationwide competition for the NSF

398 Graduate Fellowships, which are awarded on the University), Stanford University; GREGORY basis of merit. DONALD HAGER (Luther College), Stanford In response to the current shortage of advanced University; ROBERT JOSEPH HALL (University scientific personnel in certain fields critical to of California, Berkeley), Massachusetts Institute the continued health of science in the nation of Technology; E. MICHAEL HANSEN (Bradley added emphasis was given to making awards i~ University), University of illinois, Urbana­ computer science, engineering, the earth sciences Champaign; MONNETT HANVEY (Barnard Col­ and. biology this year. lege, Columbia University), Columbia University; Panels of scientists, assembled by the National EHUD U. HRUSHOVSKI (University of Califor­ Research Council of the National Academy of nia, Berkeley), University of California, Berkeley; Sciences, evaluated applications; final selections RONALD LLOYD KALIN (Princeton University), were made by the NSF. In addition to the Carnegie-Mellon University; GAIL REBECCA fellowship awards offered, NSF awarded honorable LETZTER (Harvard University), University of mention to 1,186 applicants in recognition of their Chicago; KIN YIN LI (), potential for scientific careers. University of California, Berkeley. The fellowships provide a stipend of $6,900 per Also FRANKLIN MILLER MALEY (Amherst year for full-time graduate study. NSF Graduate College), Massachusetts Institute of Technol­ Fellows may attend any appropriate non-profit ogy; TIMOTHY PAUL MCBREEN (University U.S. or foreign institution of higher education. of Arizona), Stanford University; PATRICK D. An annual cost-of-education allowance of $4 000 McSWIGGEN (University of California, Berkeley), is provided by NSF in lieu of all tuition 'and University of California, Berkeley; RoGER fees to the institution selected by each Fellow. MYRON 0BA (), Brown Each fellowship is awarded for three years of University; TIMOTHY WALTER PEIERLS (Yale graduate study. The fellowships may be used University), Cornell University; LAURENCE ERIC over a five-year period to permit students to PENN (Harvard University), Princeton Univer­ incorporate teaching or research assistantships sity; CHARLES L. PERKINS (Harvard Univer­ into their education during periods in which they sity), Stanford University; JAMES GARY PROPP are not receiving their fellowship stipends. (Harvard University), University of California, In addition to the NSF Graduate Fellowship Berkeley; DAVID PETER ROBERTS (Princeton awards offered this year, 966 individuals who University), Harvard University; CECILIA B. received fellowship awards in previous years are RODRIGUEZ (California Institute of Technology), eligible to continue their study during the 1983- University of California, Berkeley; ALEJANDRO 1984 fellowship year. A. SCHAFFER (Carnegie-Mellon University), Stanford University; JEFFREY R. SCHAPIRO The 1983 recipients in the mathematical (Amherst College), Massachusetts Institute of sciences are listed below (institutions in paren­ Technology; KAREN ELIZABETH SCHOLZ thes~s are those awarding bachelor degrees, those (Rice University), Stanford University; CAR­ outs1de the parentheses are those at which LOS TSCHUDI SIMPSON (Harvard University), graduate study is to be pursued): BENNETT University of California, Berkeley; ROBERT HAL BATTAILE (St. Olaf College), Cornell Univer­ SLOAN (Yale University), Massachusetts Institute sity; BRUCE JEREMY BAYLY (University of of Technology; SCOTT FRASER SMITH (Purdue Cambridge), Massachusetts Institute of Technol­ University), Stanford University; JOHN ROBERT ogy; JAY PATRICK BELANGER (University SULLINS (Massachusetts Institute of Technology), of Michigan), Princeton University; CHRIS­ Massachusetts Institute of Technology; BRAD­ TOPHER J. BISHOP (Michigan State Univer­ LEY VANDER ZANDEN (Ohio State University), sity), University of Chicago; ANDREW F. Stanford University; LARRY EVAN VERSAW BOUCHER (University of Oxford), University of (North Texas State University), North Texas Oxford; RANDOLPH CARL BROST (University State University; WILLIAM CHARLES WAKE of Denver), Stanford University; CLYDE W. (University of Wisconsin, La Crosse), University CARPENTER (Swarthmore College), Carnegie­ of illinois, Urbana-Champaign; JANET ANN Mellon University; MARK ALAN DERTHICK W ALZ (Michigan State University), Stanford Stanford University; (Washington University), University; NIGEL GRAEME WARD (University DIANE ELIZABETH DUFFY (Boston College) of Michigan), Stanford University; JOE DAVID NEIL FELDMAN Co~nell _Dniversity; PAUL (Yal~ WARREN (Rice University), Stanford University; Umvers1ty), Massachusetts Institute of Technol­ SAMUEL POLLARD WHITE (Carleton College), FOSTER (University of ogy; LINDA THERESE Princeton University; WILLIAM DAVID WILSON California, San Diego), Carnegie-Mellon Univer­ (Vanderbilt University), Stanford University. sity; CARY GORDON GRAY (Abilene Chris­ -NSF News Release tian University), Stanford University; RONALD IRWIN GREENBERG (Washington University), Stanford University; JOSEPH NEELY GREGG, JR. (Texas A&M University), Princeton Univer­ sity; BENJAMIN NATHAN GROSOF (Harvard

399 Letters to the Editor

The Situation in are omnipresent. What would be striking for any fu August 1982 I served as a member of the y.s. visitor from abroad is the emptiness of stores, and the lack of even the most primitive "luxuries" delegation to the IMU held in (see Not~ces, October 1982, page 503). It was inevitable that which had hitherto been accessible to the average I would feel a responsibility to keep informed Pole. These shortages, which pervade every about the situation of mathematics in Poland as aspect of life, are highlighted and contrasted by it developed, the more so because of the debt I the relative opulence available at a few hotels owed to the Polish school of mathematics, and in catering to the international clientele, and at view of the scientific contacts I had maintained hard-currency "dollar stores." As far as the~e for many years. special stores are concerned, one should keep m mind that there is a rampant black market for During the period of the last few months I dollars whose exchange rates are quoted weekly have continued to be in touch in one form or by a g~vernment newspaper. Incidentally, these another with a number of Polish mathematicians, rates are five times the official exchange rates and and these contacts have encouraged me to draw so the average Pole does not have the money to up a statement which summarizes the situation avail himself of the black market. on mathematics as best as I can. Let me Polish mathematicians. Above thirty Polish emphasize that while I take full responsibility for mathematicians had been interned; one is still disseminating what follows, the views that are held in a psychiatric hospital following a decisi~n expressed are not primarily mine, but represent of the court at his trial for taking part m a compilation of the facts and a consensus of the a demonstration at the Gdansk shipyards in opinions provided by these sources. December of 1981. Several were in hiding for Political and economic situation. It may be almost a year. I am told that one is stil~ in worthwhile to begin by quoting what are the hiding having escaped wounded from a hospital. official statistics (for the period of December 13, Several are awaiting trial, while several other 1981 to December 13, 1982). mathematicians have lost their jobs or have been Total number interned: 10,132 removed from positions of authority for political Number of killed during political disturbances: reasons. 15 Despite all of this, most Polish mathematicians Number of wounded: public 173; police and like the majority of other Polish scientists militia 800 have survived the recent period relatively well. Number tried for political activities: 3,616 Obviously the nation's ordeal, and the loss of hopes that followed the breaking of the spirit Number received official warning concerning that existed during the period of Solidarity, have political activity: 150,000 weighted heavily. Yet the vast m~jority ~an At present the visible unrest and political continue their work: they are teachmg, domg demonstrations have died away. But great their research and can keep up contacts with economic hardships, a deadening feeling of the outside ~orld. Trips abroad for Polish malaise, and anxiety about the fu~ure per~i~t. mathematicians are by and large following their I am informed that shortages of basic necessities usual pattern, although in a few cases these have been disallowed for political reasons. Also, on a Warsaw Travel Funds smaller scale, foreign mathematicians are taking The following statement has been reviewed part in activities in Poland. Dramatic. c~ts in and approved by appropriate officials of the availability of foreign currency for subscnpt10n of United States Government. EDITOR journals are compensated in part by the exchange of journals. Thanks to numerous personal contacts April15, 1989 there is a constant inflow of preprints and reprints from abroad, but the situation regarding books is much worse. The U. S. Government policy barring the use of Federal funds to support travel to International Congress. The International Con­ Poland to attend the International Congress gress to be held in Warsaw this August will con­ of Mathematicians in Warsaw, August 16 to 24, vene under conditions quite different from those 1989, is still in effect. Consequently, although of previous Congresses. Polish mathematicians no final decision has been made, it is not possible are aware that as hosts they will be dealing with at this time for the National Science Foundation delicate and difficult problems. to authorize travel support for people planning In facing these questions there seems to be to attend the ICM this summer. a widespread wish to keep mathematics "above politics." Polish mathematicians are eager to

400 maintain scholarly contacts with the rest of the of Engineering Sciences). All three achieved world, to be able to send young people to study membership by winning contested elections in abroad, to participate in conferences all over which all had serious competition. More recently, the world and to orgainze them in Poland, and Black candidates have been unsuccessful in such generally not to "drop-out" of the world-wide elections. mathematical community. These desires argue No Black has ever been nominated for an strongly in favor of the Congress. uncontested position on the Council, yet most On the other hand-so I am told by the Polish (about two-thirds) the Council members get colleagues I have been in contact with-there there via nomination for uncontested posts. are many who feel other concerns. They see One may well wonder why no Black has ever the Congress as more of a festival than as a been offered this opportunity or, more precisely, conference, and very few would like attending why over the years the Council has failed to a festival in Poland at this time. They also express confidence in the community of Black realize that in spite of the non-political character mathematicians by offering some of its members of mathematics, the Congress could be taken the same automatic path to membership on the advantage of by the authorities in their wish to AMS policy-making body as provided for most show that the situation has returned to normal. whites on the Council. Now the AMS has again an Finally, these doubters ask themselves if they exclusively white Council. Black mathematicians would remain indifferent were the Congress to may well regard their dues payments as "taxation be held in another country with similar political without representation." repressions. The contested offices are Vice-President and In closing I wish again to emphasize that Member-at-Large. For these posts the ballot lists the purpose of the above statement is not the at least twice as many candidates as there are expression of my views, since my personal opinions vacancies to be filled. For all other posts (the big on the subject are of no great interest. Rather, I majority) the ballot lists exactly the same number have felt the duty to present as best as I can the of candidates as there are vacancies. These facts and opinions of those who have first-hand uncontested posts include: President, Secretary, knowledge of the situation. Associate Secretaries (4), Treasurer, Associate Elias M. Stein Treasurer and numerous members of editorial Princeton University committees. While I was on the Council, I urged vigorously As a Pole and as a mathematician I fully support several times that the Council nominate Black and totally agree with the position of Peter Ifilton, colleagues for some of the uncontested posts expressed in the February issue of the Notices and proposed names of individuals eminently well (page 172), concerning the organization of the qualified to discharge the requisite responsibilities. ICM in Warsaw in August 1983. Their abilities were never challenged, but the By holding the ICM in Warsaw we are bestowing Council nonetheless accepted without change legitimacy on a regime which is repressing the the proposals put forward by the Nominating Polish people. Committee and so it remains true to this day that Jacek Bochnak Vrije Universiteit, Policy on Letters to the Editor Amsterdam Letters submitted for publication in the Notices are Blacks on the Council reviewed by the Editorial Committee, whose task is to determine which ones are suitable for publication. The results of the 1981 and 1982 elections The publication schedule requires from two to four in the American Mathematical Society should months between receipt of the letter in Providence and lead to some soul-searching on the part of the publication of the earliest issue of the Notices in which electorate and even more of the leadership. The it could appear. Council for 1983, like the Council for 1982, does Publication decisions are ultimately made by majority not have even one Black member. The same vote of the Editorial Committee, with ample provision is true of the Nominating Committee. In its for prior discussion by committee members, by mail or at meetings. Because of this discussion period, some recommendations for election to the 1983 Council, letters may require as much as seven months before a the Nominating Committee did not suggest any final decision is made. of our Black colleagues. One Black was included The committee reserves the right to edit letters. eventually, as a result of a on the Council ballot The Notices does not ordinarily publish complaints petition campaign. But he was not elected, nor about reviews of books or articles, although rebuttals was the one Black on the ballot for Nominating and correspondence concerning reviews in the Bulletin Committee elected. of the American Mathematical Society will be considered Three Blacks have served on the Council: David for publication. Blackwell (member of the National Academy of Letters should be mailed to the Editor of the Sciences), James A. Donaldson (Chair, Mathe­ Notices, American Mathematical Society, Post Office Box 6248, Providence, Rhode Island 02940, and will be matics Department, Howard University), J. Ernest acknowledged on receipt. Wilkins, Jr. (member of the National Academy

401 the slate for automatic election never has included I am at a loss to explain the Council action. I any Black colleague. do not believe that the majority of the Council is On two separate occasions I suggested that the unaware of the facts of the Israeli occupation­ choice of Southeast regional Associate Secretary these are generally well known and are easily be one of our Black colleagues. This is a obtainable by any literate person with access to region where many, probably most, U.S. Black a decent library. I do remember, with queasy mathematicians are employed, in the traditionally horror, that in the very early 1940s, there were Black insitutions which are most numerous there. people who wanted to "avoid controversy" and Following one such discussion which I initiated last others who wanted not to know the facts about year, the Council approved R. G. Ayoub's motion the occupied territories. to memorialize the Nominating Committee to The Council's action in Denver can and will keep in mind the possibility of assuring Black be taken as a validation of the righteousness of representation on the Council via nomination for the actions of the Israeli military against the a non-contested office. If the Committee and universities on the West Bank. Council finally take heed of the need for them to I resign from the American Mathematical stop excluding Black colleagues from selection for Society, effective now. I ask that you, the non-contested office, then some progress will have Secretary, publish this letter in the Notices of been made, hopefully of a non-token variety. the Society, together with your own summary of This situation will have to be followed closely to the motions concerning Birzeit that were placed end the era of "taxation without representation," before the Council, the letters received, and the an era which our Black colleagues and their Council's actions. supporters find increasingly intolerable. Up until I am sorrowful at ending a membership that now, the record shows that Blacks must achieve began 44 years ago. the same level of distinction to fight their way J. L. Kelley on to the Council via seriously contested elections University of California, as is required of whites to coast in without any Berkeley contest at all. Not a pretty picture. EDITORS' NOTE. The Secretary provides the Lee Lorch following summary of Council action. The bare York University facts are brief. The Council of 22 August 1982 Birzeit University considered the following resolution: Yesterday I called Julia Robinson to find out The Council of the AMS regrets the closing of if the Council of the AMS had considered, at Arab West Bank universities in what appears its Denver meeting, the letters of Lipman Bers, from a distance to be "collective punishment" Shaul Foguel, myself and others. Each of us for acts of individual students. If individuals had protested the Council's refusal to act on the are committing illegal acts, they and they Human Rights Committee recommendation on alone should be punished. The stopping of the Israeli closing of Birzeit University. Julia told educational processes for an entire student me that a motion not to discuss the letters or the body is a severe action that we cannot approve issue was passed by the Council. of. It is interesting that on the same day I received This was a revised version, written by the the Manchester Guardian Weekly of January Committee on Human Rights, of a stronger 8, which contains a long letter protesting the resolution which had been considered briefly at measures of the Israeli military against the West the meeting of 16 March 1982 and referred Bank universities. The list of distinguished signers to the Committee. The resolution failed. of the letter begins with Michael Atiyah and ends Reconsideration was proposed at the meeting with the Very Reverend Victor de Waal, Dean of of 4 January 1983. A motion to "object to Canterbury. consideration" was immediately passed. The Council has, in the past, approved a number The Secretary has been unsuccessful in attempts of motions concerning the welfare and academic to write a summary of the arguments presented freedom of mathematicians and mathematical which is regarded as fair and accurate by all programs in various countries. I think these parties to whom he has shown drafts. Accordingly have been, by and large, admirable-useful and such a statement is not offered. important. Now the Council refuses for the second time to apply its previous standards to the Israeli treatment of Birzeit.

402 Queries Edited by Hans Samelson QUESTIONS ARE 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, when appropriate, be edited into a composite answer and published in a subsequent column. All answers received will 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 p = {f I Z(f(n)) E F, \In} and q = {f I Z(f) E F}. Clearly p and q are prime ideals and p C q. 278. M. S. Brandly (Route 3, Liberty, Indiana Let k(x) = x- h(x) be a diffeomorphism with h 47353). Consider the (v,b,r,k,A.) block designs, nonnegative, vanishing only at the origin, where my block design has specifications as follows: v all its derivatives vanish. Let K(F) = {k(A) I equals N (N congruent to 0 (mod 4)), b equal to A E F}. Let r- {f I {xllf(x)l < 8[h(k-1(x))]m} E N(N -1) divided by 4, r equal toN -1,k equal to K(F), Vm E N, 8 > 0}. One can show (i) r 4 and A. equal to 3. According to H. Hanani, Ann. is a prime ideal, (ii) p C r, (iii) q rj r, r rj q. Math. Statist. 32 (1961), there does exist such a (Contributed by James Moloney) block design for any N congruent to 0 (mod4) with these specifications. Within the blocks of 266. {vol. 30, p. 11, January 1983, Vladik Ja. size four, I desire to match two of the members Krelnovich) Is anybody aware of some good together versus the other two. For the total for machine simulation of a Gaussian number of blocks, I also desire that each member stochastic process with spectrum ~ w-a, or be matched with each other member exactly once of some theorems that will possibly simplify and that each member be matched against each constructing such an algorithm? Reply: Pseudo­ other member exactly twice. random number generators with preassigned I have the arrangement for N equal to 4 distributions over given intervals can be obtained by conjugacy transformations. A Gaussian G:~ ~:! ~:~) and 8. I want to know if there exists a example appears in Quantum mechanics and method to manufacture such designs for N equal mixing transformations, Acta Phys. Austriaca 53 to 12, 16, 20, 24,.... How many designs exist (1981), 145-155. (Contributed by T. Erber) for a given N? Must a design exist for any N congruent to 0 (mod4)? 267. (vol. 30, p. 11, January 1983, Niels Jacob) Does there exist an explicit formula for f(a) = 279. John P. Nolan (UNZA, Department of oe 2n f _ e-:z: cos ax dx? Reply: Integrals of the form Mathematics, P. 0. Box 32379, Lusaka, Zambia). 00 00 11 Let p > 0, 0 < f3 < p and define the "density" f0 X exp(-axP- bxq)dx, where at least one of ~(A.)= min(1,IA.I- (N + (3)) on£PqtN,~). If p or q is a positive integer, are expressible as 1 ~ p ~ oo, then infll1- L:bie•liP.~ > 0 generalized hypergeometric functions. In the case where the inf is over all sums L: bjei..> with at hand we find 00 !til 2 1 for all j. Is the same true for 0 < p < 1? 2n This is related to a problem in prediction theory. 1-oo cos(xy)e-:z: dx = ~ n-l (-1)1 r(2l + 1) 2! Responses n ~ (2l)! n y The editor would like to thank all those who . oF2(n-1)(2l2+ 2' ... 'i, ... ' 2l + n; sent in replies. n 2n 245. {vol. 28, p. 512, October 1981, Kjeld Bagger Laursen) If P is a prime ideal in the (-1)n(;:Yn) algebra cn([O, 1]) of n (2 0) times continuously differentiable complex-valued functions on the where i denotes that this term in the progression unit interval, then it is known that the set of of parameters is missing. One can of course get primes containing P is totally ordered by inclusion an explicit power series expansion; however, that (J. Funct. Anal. 38 (1980), 16-24). Is the same is not the intent of the query. (Contributed by true in C 00([0, 1])? Reply: No. Let F be a prime z­ M. L. Glasser, Michael Rolenz and Lawrence filter, let its accumulation point be 0 (w.l.o.g.), let Turyn)

403 1983 AMS Eleetions

Couneil Nominations for Viee-President and Member--at-Large PROCEEDINGS OF THE STEKLOV Two vice-presidents and five members-at-large of INSTITUTE OF MATHEMATICS the Council will be elected by the Society in the fall (ISSN 0081-5438) of 1983. The vice-president will serve for a term of two BOUNDARY VALUE PROBLEMS years effective January 1, 1984. The Council has OF MATHEMATICAL PHYSICS. X nominated four candidates for the two positions. edited by 0. A. Ladyzenskaja They are: This collection is devoted to the study of non­ Paul J. Cohen Jacob T. Schwartz linear partial differential equations, group analysis of the Navier-Stokes equations and boundary layer the· E. R. Kolchin Stephen Smale ory, the construction of functional models of pertur­ Nominations by petition are acceptable. Refer bation theory and their application in scattering the­ to the two previous issues of the Notices (February ory, and the solvability of problems in magnetohy­ 1983, pages 178-179; April 1983, pages 308-309) for drodynamics. the rules and the form of the petition. V. G. Dele and D. R. jafaev, Spectral theory and scattering for the D'Aiembert operator with a The five members-at-large will serve for a term of vector potential three years. The Council nominated seven candidates. A. V. Ivanov and P. Z. Mkrty"fjan, On the solvability They are: of the first boundary value problem for certain Michael G. Crandall Jean E. Taylor classes of degenerating quasilinear elliptic equa­ David Eisenbud William P. Thurston tions of the second order N. M. lvo"fkina, On second order differential equa­ Carlos E. Kenig Floyd L. Williams tions with d-elliptic operators Dusa McDuff S. Karimov, Asymptotics of solutions of a class of Nominations by petition are acceptable. See the differential equations with a small parameter multiplying the derivative in the case of change references above. If the total number of nominees is of stability of a focus less than ten, it will be brought to ten by the Council V. F. Mol"fanov, The Plancherel formula for hyper­ before the ballot is circulated. boloids 5. N. Naboko, A functional model of perturbation President's Candidates theory and its application to scattering theory for the Nominating Committee K. I. Pileckas, On unique solvability of boundary value problems for the Stokes system of equa­ 1984 and 1985 tions in domains with noncompact boundaries N. V. Svanidze, Small perturbations of an integrable Four members of the Nominating Committee are dynamical system with an Integral invariant to be elected in the fall of 1983. President Julia B. V. A. Solonnikov and A. G. Ha"fatrjan, Estimates Robinson has named the following six candidates: for solutions of parabolic initial-boundary value A. T. Bharucha-Reid Tsit-Yuen Lam problems In weighted Holder norms Heini Halberstam Robert P. Langlands L. I. Stupjalis, A nonstat/onary problem of magneto· Alistair H. Lachlan Harold M. Stark hydrodynamics for the case of two space variables L. I. Stupjalis, On a boundary value problem for the Nominations by petition are acceptable. Refer stationary system of equations of magnetohydro­ to the two previous issues of the Notices (February dynamics 1983, pages 178-179; April 1983, pages 308-309) for D. R. )afaev, On the trace formula in the multichan­ the rules and form of the petition. If the total nel Friedrichs model number of candidates is less than eight, the number 1980 Mathematics Subject Classifications (Major headings): will be brought up to eight by the president. 34, 35, 43, 47 Volume 147, vi + 214 pages (soft cover) List price $70, institutional member $53, individual member $35 ISBN D-8218-3068-6; LC 67-6187 Publication date: August 1981 To order, please specify STE KL0/147N Prepayment is required for all AMS publications. Order from AMS, PO Box 1571, Annex Station, Providence, Rl 02901, or call 800-556-7774 to charge with VISA or MasterCard.

404 Albany Meetings, August 8-11, 1983 Second Announcement

The August 1983 Joint Mathematics Meetings, including 87th Summer Meeting of the AMS the 87th summer meeting of the American Mathematical Society, the 63rd summer meeting of the Mathematical August 8-11, 1983 Association of America, and the 1983 annual meeting of Pi Mu Epsilon, will be held August 8-11, 1983 (Monday­ Colloquium Lectures New York, Center Thursday), at the State University of A series of four Colloquium Lectures will be at Albany. The meetings will be preceded by the AMS Short Course on August 6 and 7 (Saturday and Sunday). presented by BERTRAM KOSTANT of the Mas­ Sessions will take place on the campus of the State sachusetts Institute of Technology at 1:00 p.m., University of New York, Center at Albany. Monday through Thursday, August 8-11. The title The members of the Local Arrangements Committee of this lecture series is On the Coxeter element and are Lindsay N. Childs (publicity director), William W. the structure of the exceptional Lie groups. Fairchild, Richard Z. Goldstein (chairman), Timothy L. Lance, Violet Larney, William J. LeVeque (ex officio), Steele Prizes David P. Roselle (ex officio), Hugo Rossi (ex officio), The 1983 Leroy P. Steele Prizes will be awarded at B. David Saunders, Edward S. Thomas, Edward C. Turner, and Nura D. Turner. a session at 4:45p.m. on Wednesday, August 10. Invited Addresses WHERE TO FIND I'l' PAGE By invitation of the AMS Program Committee, PREREGISTRATION AND HOUSING 406, 407 there will be eight invited one-hour addresses. The SUMMER MEETING OF THE AMS 405 list of speakers, their affiliations, the dates and times Colloquium Lectures, Prizes, Invited Addresses, of the talks, and some of the titles follow: Special Sessions, Contributed Papers, Council SELMAN AKBULUT, Michigan State University, and Business Meetings, Other AMS Sessions title to be announced, 2:15 p.m. Wednesday; JAMES AMS SHORT COURSE 408 EELLS, University of Warwick, England, Harmonic SUMMER MEETING OF THE MAA 410 maps of Riemann surfaces, 8:30 a.m. Monday; Business Meeting, Board of Governors, Hedrick ROBERT C. GUNNING, Princeton University, Lectures, Invited Addresses, Minicourses, Contributed Papers, Banquet for 25-Year Members Riemann surfaces and their Wirtinger varieties, 5:00p.m. Monday; LEO HARRINGTON, Univer­ OTHER ORGANIZATIONS 412 A. AWM,IIME sity of California, Berkeley, Reverse mathematics, TIMETABLE 417 8:30 a.m. Wednesday; IRA HERBST, University of 9:45 a.m. Wed­ OTHER EVENTS OF INTEREST 412 Virginia, The Schrodinger equation, Book Sales, Summer List of Applicants, nesday; HERVE JACQUET, Columbia University, Exhibits, MATHFILE The residual spectrum of the linear group, 2:15p.m. INFORMATION FOR PARTICIPANTS 413 Tuesday; JOHAN H. B. KEMPERMAN, University University Housing, Food Services, Hotel of Rochester, Functional equations over groups, Accommodations, Registration at Meetings and the mean value property, 3:30 p.m. Wednesday; REGISTRATION DESK SERVICES 420 and WEN-CH'ING WINNIE LI, Pennsylvania State AMS/MAA Information, Audio-Visual Aid, University, University Park, Fourier transform: Assistance, Comments and Complaints, Representation of general linear groups, 11:00 a.m. Baggage and Coat Check, Check Cashing, Local Information, Lost and Found, Mail, Monday. Personal and Telephone Messages, Special Sessions Transparencies, Visual Index MISCELLANEOUS INFORMATION 420 By invitation of the same committee, there will Athletic Facilities, Book Stores, Camping, be eleven special sessions of selected twenty-minute Child Care, Crib Rental, Libraries, Local will repeat an experiment Information, Medical Services, Parking, The Albany meetings Social Events, Travel, Weather tried for the first time at the meetings in CAMPUS MAP 414 August of 1982, in that the program will be "joint" in a stronger sense than before. AMS and MAA IMPORTANT DEADLINES sessions will run concurrently and simultaneously, AMS Abstracts, and the meetings have been shortened from five For consideration for special sessions Expired days to four. In order to evaluate the effects or contributed papers Expired MAA Abstracts of this new type of program, a questionnaire will or contributed papers Expired be distributed to all registrants at the Albany Summer List of Applicants July 1 meetings requesting opinions and comments. A Preregistration and Housing July 1 central location will be established for the collection Housing cancellations (full refund) July 15 Housing cancellations (partial refund) After July 15 of these questionnaires at the meeting registration Motions for AMS Business Meeting July 10 desk. It is hoped that all participants will find time Preregistration cancellations (50% refund) August 5 to respond, since this information will be a valuable Dues credit for nonmembers/students September 11 guide in future planning of summer meetings.

405 Preregistration

Preregistration. Preregistration for these The emeritus status refers to any person who has meetings must be completed by July 1, 1983. All been a member of the AMS or MAA for twenty those wishing to preregister must complete the form years or more, and is retired on account of age from which appears at the back of this issue and submit his or her latest position. it along with the appropriate preregistration fee(s) A $4 charge will be imposed for all invoices to the Mathematics Meetings Housing Bureau in prepared when preregistration forms are submitted Providence by July 1. without accompanying check(s) for the preregistra­ Preregistration for the meeting and full payment tion fee(s) or are accompanied by an amount of room/board charges is a requirement in order insufficient to cover the total payments due. to obtain confirmed residence hall accommodations Preregistration forms received well before the dead­ at SUNYA through the Mathematics Meetings line of July 1 which are not accompanied by correct Housing Bureau as outlined in the facing page. payment will be returned to the participant with a Checks for preregistration fee(s), housing pay­ request for resubmission with full payment. ments and fees for social events should be made A 50 percent refund of the preregistration fee( s) payable to the AMS. Canadian checks must be will be made for all cancellations received in marked for payment in U.S. funds. Those who Providence no later than August 5, 1983. No preregister for the AMS Short Course and/or Joint refunds will be granted for cancellations received Mathematics Meetings pay fees which are 30 per­ after that date, or to persons who do not attend cent lower than those who register at the meetings. the meetings. The preregistration fees are as follows: The only exception to this rule is someone who AMS Short Course preregisters for the Joint Mathematics Meetings only in order to attend an MAA Minicourse, and Student/Unem played $ 5 All Others $25 is too late to obtain a slot in the Minicourse. In this case, full refund will be made of the Joint Mathematics Meetings Joint Mathematics Meetings preregistration fee, Member of AMS, MAA, ITME $38 provided the preregistrant has checked the box Emeritus Member of AMS, MAA $ 9 on the preregistration form that this was his or her Nonmember $58 intent. Individuals who preregister for both the Student/Unem played $ 9 Joint Meetings and a Minicourse and who intend to MAA Minicourses #1 through #6 $20each attend the Joint Meetings, even if the Minicourse is Do not submit minicourse fee( s) with not available, should, of course, not check the box preregistration form. on the preregistration form. In this case, the Joint Meetings Preregistration will be processed. There is no extra charge for members of the families of registered participants, except that all Those who preregister for the AMS Short Course professional mathematicians who wish to attend will be able to pick up their badges and other sessions must register independently. material in Albany after 11:00 a.m. on Saturday, August 6, during the hours the AMS Short Course All full-time students currently working toward registration desk is open. a degree or diploma qualify for the student registration fees, regardless of income. Those who preregister for either the Joint Mathe­ matics Meetings or the MAA Minicourses or both The unemployed status refers to any person cur­ will be able to pick up their badges and other rently unemployed, actively seeking employment, material in Albany after 4:00 p.m. on Sunday, and who is not a student. It is not intended to August 7, during the hours the Joint Mathematics include any person who has voluntarily resigned or Meetings registration desk is open. retired from his or her latest position.

N.B.: Plaee your AMS or MAA mailing label on the preregistration/housing form where indicated. If you do not have a label readily available, please supply complete name, address, and AMS or MAA member code.

406 Housing

Mathematics Meetings Housing Bureau. The Participants who are able to do so are urged to form for requesting university residence hall share a room whenever possible. This procedure accommodations will be found at the back of can be economically beneficial. The housing form this issue. The use of the services offered by should be fully completed to ensure proper assign­ the Mathematics Meetings Housing Bureau requires ment of rooms. Participants planning to share preregistration for the meetings. Persons desiring accommodations should provide the name(s) of confirmed residence hall accommodations should the person(s) with whom they plan to occupy a complete the form, or a reasonable facsimile, and room. Each participant should, however, complete send it to the Mathematics Meetings Housing a separate preregistration form. Parties planning Bureau, Post Office Box 6887, Providence, Rhode to share rooms should send their forms together in Island 02940, so that it will arrive no later than the same envelope if possible. July 1, 1983. Changes/Cancellations Please read carefully the section on University Please make all changes to or cancellations of Housing before completing the form. Forms sent residence hall reservations with the Housing Bureau to the wrong address and thus incurring delay in Providence before July 15, 1983 in order to in delivery to the Housing Bureau until after the receive full refund of housing payment. After deadline cannot be accepted. All residence halls that date, cancellations should be made with the reservations with full prepayment for room/board Housing Bureau in Providence up until August will be confirmed by the housing bureau. All 5, 1983, at which time a partial refund (amount reservation requests must be received in writing paid minus one night's room/board) will be made. and be processed through the Housing Bureau in No cancellations can be made between 5:00 p.m. Providence. Please do not contact the university on Friday, August 5, and 4:00 p.m. on Sunday, directly. Telephone requests will not be accepted. August 7, after which changes or cancellations may Housing assignments are made on a first-come, be called in to Mary Coccoli at the Telephone first-served basis, so participants desiring specific Message Center number in Albany. Changes in types of accommodations are urged to get their reservations may be made at any time by notifying housing requests in as early as possible. Housing the Housing Bureau. requests received after the deadline of July 1 most surely eannot be honored.

N.B.: Plaee your AMS or MAA mailing label on the preregistration/housing form where indicated. If you do not have a label readily available, please supply complete name, address, and AMS or MAA member eode.

407 American Mathematical Society Short Course Series Population Biology Albany, New York, August 6-7, 1983

The American Mathematical Society, in conjunction with its eighty-seventh summer meeting, will present a one and one-half day short course titled Population Biology on Saturday and Sunday, August 6 and 7, 1983, at the State University of New York, Center at Albany. The program is under the direction of Simon A. Levin of Cornell University. Population biology is probably the oldest area in mathematical biology, but remains a constant source of new mathematical problems and the area of biology best integrated with mathematical theory. The need for mathematical approaches has never been greater, as evolutionary theory is challenged by new interpretations of the paleontological record and new discoveries at the molecular level, as world resources for feeding populations become limiting, as the problems of pollution increase, and as both animal and plant epidemiological problems receive closer scrutiny. The purpose of this course is to acquaint the participant with the mathematical ideas that pervade almost every level of thinking in population biology. The mathematical methods to be discussed include dynamical systems theory, partial differential equations, stochastic processes, matrix algebra, control theory and optimization, game theory, and differential geometry. Synopses of the talks and accompanying reading lists appeared in the April issue of the Notices, pages 350 and 351. A basic knowledge of ordinary and partial differential equations, linear algebra, and probability theory will be assumed. Other mathematical methods to be discussed will be drawn from stochastic processes, control theory and optimization, game theory, and differential geometry. Background reading may be found in Studies in mathematical biology, Part IT: Populations and communities, Simon A. Levin, editor, Volume 16 in Studies in Mathematical Biology, MAA, 1978. The reading lists also give a variety of sources for study prior to the course. The course will consist of six 60-minute lectures and interpolatory material by Simon A. Levin. Ethan Akin (City College, CUNY) will speak about evolution, game theory and differential geometry, James C. Frauenthal (Bell Laboratories, Holmdel) about population dynamics and demography, Wayne M. Getz (University of California, Berkeley) about optimal control theory in population biology, Thomas Nagylaki (University of Chicago) about mathematical population genetics, George Sugihara (Oak Ridge National Laboratory) about and food webs, and James A. Yorke (University of Maryland) about epidemiology. Simon A. Levin will supplement with material on models of population dispersal, and on the theory of evolution of interacting populations. 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 sections titled Preregistration, Housing and Registration at the Meetings for details. The short course was recommended by the Society's Committee on Employment and Educational Policy, whose members are Lida K. Barrett, Lisl Novak Gaal, Irwin Kra, Robert W. McKelvey, Donald C. Rung (chairman), and Barnet M. Weinstock. The short course series is under the direction of the CEEP Short Course Subcommittee, whose members are Stefan A. Burr (chairman), Robert W. McKelvey, Cathleen S. Morawetz, Barbara L. Osofsky, and Philip D. Straffin, Jr.

408 papers. The topics of these special sessions, the Anderson, M. Chisholm, D. Handel, N. Levitt and J. tentative days they will meet, the names and Segal. affiliations of the mathematicians arranging them, Automorphic functions and automorphic repre­ and tentative lists of speakers, are as follows: sentations, WEN-CH'ING WINNIE LI, Pennsyl­ The calculus of variations in the large and vania State University, University Park, 2:15 p.m. its applications, MELVYN S. BERGER and Monday, 8:00 a.m. Tuesday. S. Friedberg, P. ALEXANDER EYDELAND, University of Mas­ Henniart, P. Kutzko, W.-C. W. Li, C. Moreno, I. sachusetts, Amherst, 1:00 p.m. Wednesday, 8:30a.m. Piateckii-Shapiro, A. Pizer, S. Rallis, and S. Ullom. and 1:00 p.m. Thursday. F. Almgren, C. Amick, M. Several complex variables, R. MICHAEL S. Berger, K. C. Chang, A. Eydeland, L. E. Fraenkel, RANGE, SUNY, Center at Albany, 2:15 p.m. Tues­ G. Knightly, W. Ni, M. Schechter, and M. Weinstein. day, 1:00 p.m. Wednesday, and 8:30a.m. Thursday. Dynamical systems, LOUIS BLOCK, University H. Alexander, S. Bell, D. Burns, J. D'Angelo, J. J. of Florida, 2:15p.m. Monday, 2:15p.m. Tuesday, and Kohn, N. Mok, H. Rossi, W. Rudin, B. Schiffman, Y. 1:00 p.m. Wednesday. S. Batterson, C. Bernhardt, S. T. Siu, D. S. Tartakoff, S. M. Webster, J. Wermer, P. Goodman, G. R. Hall, D. Hart, C.-W. Ho, M. Hurley, C. Yang, and W. Zame. 0. E. Lanford, T.-Y. Li, M. Maller, R. McGehee, K. Summability methods, BILLY E. RHOADES, Meyer, D. Pixton, S. Schecter, J. Selgrade, D. Stowe, Indiana University, Bloomington, 8:30 a.m. and 1:00 R. Walker, R. F. Williams and H. Wisniewski. p.m. Thursday. Ergodic theory concerning point transformations Solutions of operator equations and fixed points, with finite invariant measure, NATHANIEL A. V. M. SEHGAL, University of Wyoming, and S. P. FRIEDMAN, SUNY, Center at Albany, 8:00 a.m. SINGH, Memorial University, Newfoundland, 2:15 Tuesday, and 8:30 a.m. Thursday. J. Auslander, A. p.m. Tuesday, 1:00 p.m. Wednesday, and 1:00 p.m. Bellow, A. Fieldsteel, N. Markley, N. Martin, K. Thursday. M. Altman, H. Amann, D. G. Bourgin, F. Petersen, V. S. Prasad and W. Reddy. E. Browder, E. Dubinsky, W. Kirk, A. T. Lau, T. Tensor products and p-summing operators C. Lim, M. Z. Nashed, M. Martelli, W. Petryshyn, in harmonic analysis, COLIN C. GRAHAM, L. B. Rail, S. Reich, V. M. Sehgal, K. L. Singh, S. Northwestern University, and BERT M. Thomeier, J. Whitfield, and A. T. Bharucha-Reid. SCHREIBER, Wayne State University, 2:15 p.m. Differential analysis in infinite dimensional Monday, and 8:00 a.m. and 2:15 p.m. Tuesday. J. spaces, SRINIVASA SWAMINATHAN, Dalhousie Fournier, C. Graham, M. B. Marcus, 0. C. McGehee, University, 2:15 p.m. Monday, 2:15 p.m. Tuesday, C. Sadowski, B. M. Schreiber, and B. P. Smith. and 1:00 p.m. Wednesday. M. S. Berger, M. P. Applications of algebraic topology, TIMOTHY Heble, I. E. Leonard, B. Mityagin, C.C.A. Sasdri, T. L. LANCE, SUNY, Center at Albany, 1:00 p.m. Subramanian, K. Sundaresan, and K. K. Tan. Wednesday, 8:30 a.m. and 1:00 p.m. Thursday. D. Topological methods in combinatorial group theory, EDWARD C. TURNER, SUNY, Center at Committee on the Agenda for Business Meetings Albany, 2:15 p.m. Monday, 8:00 a.m.and 2:15 p.m. The Society has a Committee on the Agenda for Tuesday. G. Huck, R. Kramer, D. McCullough, A. Business Meetings. The purpose is to make Business Sieradski, C. Squier, J. Stallings, M. Tretkoff, and T. Meetings orderly and effective. The committee does Tucker. not have legal or administrative power. It is intended that the committee consider what may be called "quasi­ April 26 was the deadline for submission of political" motions. The committee has several possible abstracts for consideration for inelusion in these courses of action on a proposed motion, including but special sessions. not restricted to (a) doing nothing; Contributed Papers (b) conferring with supporters and opponents to arrive at a mutually accepted amended version to be circulated There will be sessions for contributed papers on in advance of the meeting; Monday afternoon from 2:15 p.m. to 6:00 p.m., Tues­ (c) recommending and planning a format for debate day morning from 8:00 a.m. to 10:45 a.m., Tuesday to suggest to a Business Meeting; afternoon from 2:15 p.m. to 4:15 p.m., Wednesday (d) recommending referral to a committee; afternoon from 1:00 p.m. to 4:30 p.m., and Thursday (e) recommending debate followed by referral to a morning from 8:30 a.m. to 10:45 a.m. The deadline committee. There is no mechanism that requires automatic for submission of abstracts of contributed papers submission of a motion to the committee. However, if a was May 17. Late papers will not be aeeepted. motion has not been submitted through the committee, it may be thought reasonable by a Business Meeting to Council Meeting refer it rather than to act on it without benefit of the The Council of the Society will meet at 5:00 p.m. advice of the committee. on Sunday, August 7, in the Squire Room of the T~e committee consists of Everett Pitcher (chairman), Mar1an B. Pour-El, David A. Sanchez, and Guido L. Ramada Inn. Weiss. Business Meeting In order that a motion for the Business Meeting of August 10, 1983 receive the service offered by the The Business Meeting of the Society will take committee in the most effective manner, it should be in place immediately following the Steele Prize Session the hands of the secretary by July 11, 1983. on Wednesday, August 10. The secretary notes the Everett Pitcher, Secretary following resolution of the Council: Each person who

409 attends a Business Meeting of the Society shall be Other MAA Sessions willing and able to identify himself as a member The MAA Committee on Exchange of Information of the Society. In further explanation, it is noted in Mathematics will sponsor an evening session that each person who is to vote at a meeting is at 8:00 p.m. on Tuesday, August 9, on The thereby identifying himself as and claiming to be .MAA newsletters: A dialogue among editors a member of the American Mathematical Society. featuring Focus editor, MARCIA P. SWARD. Also For additional information on the Business Meeting, participating in the session will be various section please refer to the announcement titled Committee newsletter editors and public information officers. on the Agenda for Business Meetings. Minicourses The MAA is planning six Minicourses, as follows: of the MAA 63rd Summer Meeting Minicourse #1: PAS CAL for Mathematicians, August 8-11, 1983 organized by HARLEY FLANDERS, Florida Atlan­ tic University. Given from 7:30 p.m. to 9:30 p.m. Business Meeting on Monday, August 8, and on Tuesday, August The Business Meeting of the MAA will take place 9. The course is aimed at mathematicians who do at 4:30 p.m. on Tuesday, August 9, at which the Carl not presently (or can barely) program in PASCAL, B. Allendoerfer, Lester R. Ford, and George P6lya but who have access to PASCAL on a microcom­ awards will be presented. puter or larger system. No previous knowledge of PASCAL or programming will be assumed. The Board of Governors talks will cover the whole PASCAL programming The MAA Board of Governors will meet at 9:00 language with emphasis on solving mathematical a.m. on Sunday, August 7, in the Squire Room of the programming problems. There. will be special em­ Ramada Inn. phasis on recursion, linked memory allocation, and scientific uses of the unique data structure flexibility Hedrick Lectures of PAS CAL. A wide range of applications will The 32nd Earle Raymond Hedrick Lectures will be be demonstrated, including matrix manipulations, given by ELIAS M. STEIN of Princeton University. integration, differentiation, differential equations, in­ The title of this series of three lectures is Some ideas variant factors of integer matrices, set theory, series in the development of Fourier analysis. These inversion, etc. The Minicourse will be conducted in lectures will be given at 11:00 a.m. on Tuesday, a lecture-demonstration mode. The block structured Wednesday, and Thursday, August 9-11. nature of PASCAL makes it particularly flexible for intricate mathematical computations, Invited Addresses programming and easier to read than most other popular program­ There will be nine invited fifty-minute addresses. ming languages. It is becoming the first programming The list of speakers, their affiliations, the dates and language taught in many colleges and universities, times of the talks, and titles follow: but the emphasis in almost all current courses is HAROLD M. EDWARDS, New York University, on data processing applications. Probably mathe­ Courant Institute of Mathematical Sciences, Galois matics departments should offer PAS CAL courses for version of Galois theory, 2:00 p.m. Thursday; mathematics, sciences, and engineering students. BRANKO GRUNBAUM, University of Washington Minicourse #2: Problems from industry for use in Have you ever met a polyhedron you did not the undergraduate classroom, is being organized by like? 9:50 a.m. Tuesday; ROBERT HERMANN, JEANNE L. AGNEW and MARVIN S. KEENER, University of Texas at Austin, Theoretical and and will be given from 8:30 a.m. to 10:30 a.m. on experimental contributions to the development of Monday, August 8, and Wednesday, August 10. This a science of vehicular traffic, 1:00 p.m. Wednesday; Minicourse is based on problems obtained under the KATHERINE P. LAYTON, Beverly Hills High direction of the organizers from representatives of School, Progress report of the Commission on industries who were willing to share their expertise Precollege Education in Mathematics, Science, in order to help provide the undergraduate student and Technology, 8:40 a.m. Thursday; RICHARD an opportunity to deal with a real-world problem in LEWONTIN, Harvard University, Analysis of its raw form. These problems have arisen in the complex genetic systems, 2:15 p.m. Tuesday; work of the industry presenting them, and can be THOMAS H. MACGREGOR, State University of solved, at least in part, using only undergraduate New York, Center at Albany, Convexity ideas mathematics. They have been written up by the in geometric function theory, 9:40 a.m. Thursday; organizers in the format suitable for classroom use. A BARBARA L. OSOFSKY, Rutgers University, Some catalog of these industrial problems will be available connections between algebra and set theory, 8:40 to the participants. The Minicourse will focus on a.m. Thursday; CARL POMERANCE, University a discussion of selected problems already developed, of Georgia, Primality testing, 1:00 p.m. Thursday; and on the identification and development of a new and ALAN SCHOENFELD, University of Rochester, problem with the help of an industrial representative. Understanding and teaching problem-solving skills, The cooperating representative will be Dr. Jerry 8:40 a.m. Tuesday. Cline from McDonnell Douglas Astronautics in St.

410 Louis. The first part of the first session will be 2:00 p.m. to 4:00 p.m. on Tuesday, August 9 and devoted to a brief description of the creation of the will be identical to Minicourse #4 with the excep­ problem collection, and a discussion of several of tion that only materials produced by individuals the problems, their solution, and the ways in which and organizations other than CONDUIT will be they can be used in the classroom. Each participant demonstrated. will receive in advance one of the problems to be Minicourse #6: Coloring problems. This Mini­ discussed in detail. Following these discussions, course is being organized by DAVID M. BERMAN Dr. Cline will present a possible new problem for of the University of New Orleans, and has been development, giving its background and the reasons scheduled for 8:30 a.m. to 10:30 a.m. on Monday, why it is important to McDonnell Douglas. Between August 8, and Wednesday, August 10. Further sessions the participants will have an opportunity information will be available later. to work on the solution of Dr. Cline's problem. The Minicourses are open only to persons who He will be available during this time to discuss it have registered for the Joint Mathematics Meetings informally with interested participants. If necessary, and paid the Joint Meetings registration fee. computing facilities will be available. During the Please note that participants registering for one second session Dr. Cline will present his solution of or more of the Minicourses should not include the problem. Any alternate approaches suggested the registration fee(s) with their preregistration. by the participants will be discussed. Dr. Cline will A reservation will be made for participants who describe generalizations of this particular problem, preregister for the Minicourses and a confirmation will and he will also be available to discuss the place be sent once the preregistration has been processed. of the mathematically trained individual in industry, The Minicourses have separate registration fees of and the curricular needs implied by employment in $20 each, and are limited to thirty participants each, industry. except for Minicourse #1, which is limited to fifty. Minicourse #3: An introduction to the mathe­ Payment of the fee(s) must be made at the meeting matical techniques and applications of computer registration desk in Albany two hours prior to the graphics is being organized by JOAN WYZKOSKI beginning of the Minicourse or the reservation will be of Bradley University, and will be given from 8:30 relinquished to someone on the waiting list. When a.m. to 10:30 a.m. on Monday, August 8, and making payment, the participant should present the Wednesday, August 10. Graphs and illustrations of confirmation to the cashier. "Standby" reservation geometrical objects are useful tools in the teaching confirmations will be issued to participants whose of mathematics. Computer graphics simplifies the preregistration was received after the Minicourse was production of these teaching aids. This Minicourse filled. These individuals should check with the will present some of the mathematical techniques used meeting cashier one hour prior to the Minicourse to to produce realistic pictures on graphics terminals. see if any openings have occurred. Emphasis will be on the use of these techniques If the only reason for registering for the Joint to complement mathematics instruction. Some of Meetings is to gain admission to a Minicourse, this the topics to be discussed are curve and surface should be indicated by checking the appropriate sketching, 2D and 3D transformations, perspective box on the preregistration form. Then, if the drawing and hidden line removal. Since personal Minicourse is full, full refunds can be made of computers will be available for demonstrations and the Joint Mathematics Meetings preregistration in-class implementations, programming experience is fee. Otherwise, the Joint Meetings preregistration necessary. will be processed, and then be subject to the 50 Minicourse #4: COMAP microcomputer software percent refund rule. in mathematics instruction is being organized by Contributed Papers DAVID A. SMITH of Duke University, and is being held from 7:30 p.m. to 9:30 p.m. on Monday, August Papers are being accepted on three topics in 8, and Tuesday, August 9. It is a Minicourse intended collegiate mathematics for presentation in contributed for college teachers. Uses of existing microcomputer paper sessions at the MAA Summer Meeting in software to enhance instruction in full courses in Albany. The topics are: the undergraduate curriculum will be demonstrated. • The undergraduate mathematics curriculum Included will be software for use in single- and multi­ • The use of computers in undergraduate variable calculus, differential equations, and topics at mathematics instruction the lower division college level. Presentations will • Classroom notes be given by mathematicians who have developed the Presentations are normally limited to ten minutes, software and have had extensive experience with its although selected contributors may be given up to use in their courses. It is planned for participants twenty minutes. to have the opportunity to work with the software Individuals wishing to submit papers for any themselves on microcomputers. of these sessions at Albany should have sent the Minicourse #5: Commercial microcomputer following information to the MAA Washington office software in mathematics instruction. This Mini­ (1529 Eighteenth Street, NW, Washington, DC 20036) course is also being organized by DAVID A. SMITH, before May 16. and will be held from 8:30 a.m. to 10:30 a.m. and

411 1. Title usual prices when these same books are sold by 2. Intended session mail. These discounts will be available only to 3. A one-paragraph abstract (for distribution at the registered participants wearing the official meeting meeting) badge. VISA and MASTERCARD credit cards will 4. A one-page outline of the presentation be accepted for book sale purchases at the meeting. 5. A list of special equipment required for the The book sales are open the same days and hours presentation (e.g., computer, film projector, as the Joint Mathematics Meetings registration desk, videotape player). and are located in the meeting registration area. Late papers will not be accepted. Exhibits This information will be sent to session leaders The book and educational media exhibits will be who will arrange for refereeing. Selection of papers located in the Lecture Center Vestibule and are open will be announced by July 1. from 1:00 p.m. to 5:00 p.m. on Monday, August Banquet For 25-Year Members 8, and from 8:30 a.m. to 4:30 p.m. on Tuesday and Wednesday, August 9-10. All participants are The MAA is planning a banquet for individuals encouraged to visit the exhibits during the meeting. who have been members of the Association for twenty-five years or more. The banquet will take MATHFIT,E place Wednesday evening, August 10. A cash bar MATHFILE, the computerized version of Mathe­ will be operated from 6:00 p.m. to 6:45 p.m. in the matical Reviews, will be demonstrated in the exhibit Patroon Lounge in the Campus Center. Dinner will area during regular exhibit hours. Sample searches be served at 7:00 p.m. in the Patroon Room, one will be performed on two terminals connected to flight up. The menu for the dinner is as follows: computers of the vendors who offer MATHFILE: Chilled wedge of Saratoga melon, iced relishes, BRS (800-833-4707, in New York 518-783-1161) and roast prime rib of beef au jus, rosette potatoes, fresh DIALOG (800-227-1960, in California 800-982-3810). native green beans with mushrooms, romaine salad MATHFILE is also available during evening hours with vinaigrette dressing, brioche and crescent rolls at greatly reduced rates on "BRS After Dark". This with butter, minted chocolate mousse with Chantilly system uses a simplified command language and is cream, ladyfingers, wine, coffee, and tea especially designed for the end-user with a home Please note that all tickets for this banquet computer or a terminal. must be purchased through preregistration, since Summer List of Applicants a guarantee must be given to the caterer much At the direction of the AMS-MAA-SIAM Com­ than usual. Tickets are $16.05 each earlier mittee on Employment Opportunities, which is and interested participants should complete the charged with operation of the Employment Register appropriate section of the preregistration form. Also, and with the publication Employment Information spaces are provided on the preregistration form for in the Mathematical Sciences, the Society will ticket purchasers to indicate their seating preference, publish a Summer List of mathematical scientists if desired. seeking employment for distribution at the Albany meeting in August 1983. Activities of Other Organizations Copies of the 1983 summer list will be available at the Transparencies section of the registration desk for Pi Mu Epsilon (TIME) will hold its annual meeting $2. Following the meeting, they may be purchased on Wednesday and Thursday, August 10 and 11. from the AMS office in Providence for $3. This The J. Sutherland Frame Lecture will be given by list should prove useful to employers who have last HENRY L. ALDER of the University of California, minute openings in the latter part of the summer or Davis, at 8:30 p.m. on Wednesday, August 10. The in the fall. title of his talk is How to discover and prove theorems: A demonstration with partitions. The deadline for receipt of applicant forms to appear in this summer list is July 1, 1983. The Association for Women in Mathematics (AWM) will hold a panel discussion on Grants: Instead of an Employment Register at the Summer Getting them and keeping them, at 9:10 a.m. on Meeting in Albany, there will be an opportunity Wednesday, August 10. The AWM membership for posting of both applicant resume forms and meeting will follow the panel discussion at 10:10 a.m. employers' announcements of open positions in or on the same day. At 9:00 p.m. on Tuesday, August near the main meeting registration area. There 9, the AWM will sponsor a party at the Ramada Inn, will be no special room set aside for interviews. where desserts and after-dinner drinks will be served. No provisions will be made by the Society for interviews: arrangements will be the responsibility of each employer and applicant. Messages may be left Other Events of Interest in the message box located in the registration area. Special applicant and employer forms will be Book Sales available at the Transparencies section of the Books published by the AMS and the MAA registration desk both for applicants to post resumes will be sold for cash prices somewhat below the and for employers to post forms announcing positions.

412 Applicants who submit an applicant form, but do may stay in the same room with parents at no not plan to attend the meeting will appear on the charge. It is not a requirement that food plans be printed list only. There is no provision made for purchased for children four years of age and under. posting resumes for participants who do not attend For additional information regarding families, please the meeting. write to the Mathematics Meetings Housing Bureau, P. 0. Box 6887, Providence, Rhode Island 02940, or call 401-272-9500, extension 239. Infonnation for Participants Beds will be made up in advance for preregistered participants. In addition to bed linen, two towels are Information which appears below in the sections provided. A small bar of soap and plastic glass will on University Housing and Food Services was be provided upon request. Since this may prove to inadequate, it is advised that participants bring furnished by SUNYA. Although firm information be was requested, because of the uncertainty of an additional bar of soap as well as a face cloth, if the State of New York budget, many of the necessary. Each room is equipped with floor lamp, statements in these two sections may be subject to desk and dresser. No clothes hangers are provided, change between now and the time of the meetings. and it is suggested that participants bring their own Every attempt will be made to provide updated supply. Bathrooms will cleaned periodically. information in future announcements. There will be a limited number of rooms available for those without confirmed reservations; University Housing however, beds in these rooms will not be made up Participants requesting housing on campus during in advance. Participants arriving without prior the meeting will be assigned to Indian Quadrangle, reservations will be given a set of bed linens, pillow, (located in the southeast corner of the uptown and blanket in order to make up their own beds as campus). Colonial Quadrangle will be used as an well as two towels, and upon request a plastic cup overflow dormitory, if necessary. The check-in desk and soap. Again, it is recommended that additional for Indian Quad is located in the lobby of Mohawk soap, a face cloth and clothes hangers be brought by Tower, which can be identified by a weather station the individual. on its roof. The check-in desk for Colonial Quad Keys will be issued to each participant staying in is located in the lobby of Livingston Tower (located the residence halls. These keys open the outside diagonally across the campus from Mohawk Tower door of the residence hall, the door to the suite (if on the northwest side). Those participants who are applicable), and the door to the individual room. arriving via Western Avenue (NY Route 20) will enter There is no deposit requirement for keys; however, the campus from the south entrance and follow signs there will be a penalty of $20 payable to the leading them to Indian Quad. Those arriving on SUNYA Key Account by the individual participant Washington Avenue, bear left after entering one of should keys be lost to cover cost of replacement the north entrances and proceed along the perimeter of both locks and keys. of the campus to Indian Quad. The entrance to the There are heat detectors in hallways and lounges. lobby faces the inside of the quadrangle. The check­ There are smoke detectors in individual bedrooms. in desk will be in operation daily from 9 a.m. until 11 There are three elevators in the dormitories, one of p.m. with the exception of August 7 and 8, when the which stops at every floor. All will be appropriately hours are 9 a.m. until 3, a.m. the following morning. marked. Stairways are unlocked. Temporary parking will be allowed during check-in. There is one kitchen unit in the basement of (See section on Parking.) Mohawk Tower as well as in most of the low­ Participants desiring confirmed reservations for on­ rise buildings on Indian Quad containing a small campus housing must preregister and send required refrigerator, range-top and oven. No utensils are payment(s) to the Mathematics Meetings Housing provided. It is suggested that participants who wish Bureau prior to the July 1, 1983 deadline. (Please to avail themselves of this convenience bring their refer to sections below titled Room Rates Including Meal Plans and Meal Plans Only.) own kitchen articles. Dormitories at SUNYA are not air-conditioned. There are coin-operated laundry facilities in the Each quad consists of a high-rise tower and eight low­ tower basement as well as one in the basement of rise units. In addition to the usual dormitory room each low-rise building. There is a 35 cent charge for setup with communal bathrooms, there are a number the use of washers; dryers are free. Participants are of suites available containing one single and either requested to bring their own laundry materials. one or two double-bedded rooms and bath. There Vending machines dispensing soft drinks, candy, are no cots available in the domitories. etc., are located in the tower. Children aged ten and over will be charged the No pets are allowed in the residence halls. Alcoholic same rates as adults. Children nine and under will beverages are not prohibited; however, residents are be charged a reduced rate for room and board (meal required to exercise moderation. Plan Cor D). There is no telephone service in any of the residence Parents will be allowed to bring portacribs or hall rooms. Public telephones are located in the lobby small cribs for infants and toddlers. These children of the towers.

413 State University of New York, Center at Albany

CAMPUS GUIDE Colonial Quadrangle • T Livingston Tower Lecture Center Indian Quadrangle 1 Social Science \ T Mohawk Tower 2 Humanities t~w 3 Education Service Buildings tl 4 Campus Center Motor Pool 5 Physics Security Office 6 Chemistry Commissary \ 7 Biology Plant Office 8 Library 9 Theatre-Music Motor Inns 10 Earth Science (!) Ramada Inn 11 Fine Arts Thruway House 12 Administration ® 13 Business ® Travelodge @ POST OFFICE

414 Check-in Locations and Times through preregistration, and the daily rate per person is given below: The check-in desk will be in operation in the lobby of Mohawk Tower, Indian Quad, daily from 9 Adults and Children 10 years of age and over: a.m. to 11 p.m. with the exception of the nights of Plan E: Breakfast and lunch $ 6.60 August 7 and 8 when the desk will remain open to Plan F: Breakfast, lunch, and dinner $13.40 accommodate late comers until 3 a.m. As indicated in the text above, there is a possibility that Livingston Children 9 years of age and under: Tower (Colonial Quad) may be used as an overflow Plan G: Breakfast and lunch $ 3.90 dormitory. This tower is situated on the northwest Plan H: Breakfast, lunch, and dinner$ 9.25 corner of the campus diagonally across the quadrangle Note: Meals on a cash-as-you-go basis are not from Mohawk Tower. available in the cafeterias; however, the Campus Center Snack Bar offers a limited menu for cash Room Rates Including Meal Plans between the hours of 7:30a.m. and 1:00 p.m. Note: The State University of New York central Lake George Cruise administration has now approved the rates listed A cruise on Lake George aboard the Ticonderoga below. has been arranged for Sunday, August 7. Buses will depart from the Indian Quadrangle at 4:45 p.m. Note: Rooms on campus are not available without and return to Indian Quadrangle at 10:15 p.m. The a meal plan. buses will be marked "Lake George Cruise." This cruise sails the beautiful island-dotted narrows of The following adult package plans offered by Lake George, with live music on board. The cost SUNYA include 7 percent state and local sales tax. is $15 per person for those not on any meal plan, or those on either meal Plans A, C, E, or G. For Plan A: Single room with breakfast and lunch those on meal Plan B or F, the ticket price is $8.20. $27.60 per day For children up to and including 9 years of age on Plan A: Double room with breakfast and lunch meal Plan D or H, tickets are $9.65. (Since children $22.60 per day per person under 10 are offered meals at a reduced rate, the cost of their tickets for the cruise is higher.) This Plan B: Single room with breakfast, lunch and box dinner replaces the regularly scheduled meal for dinner $34.40 per day that night for those taking the cruise. Individuals who do not wish to participate in the cruise may Plan B: Double room with breakfast, lunch and still obtain their evening meal in the cafeteria. dinner $29.40 per day per person Since the Lake George Steamboat Company has Children 10 years of age or older must occupy set a deadline for reservations, this cruise will be a bed and pay adult rates for lodging and food. offered through preregistration only. If a sufficient Plans C and D below apply to children up to and number of preregistrations is not received by July 1, including the age of 9. interested participants will be notified of cancellation Plan C: Breakfast and lunch $14.90 and appropriate refunds will be made. The above prices include the cost of the bus, Plan D: Breakfast, lunch, and dinner $20.25 the cruise, all taxes and gratuities, and a boxed The above options are available by prepayment dinner consisting of fried chicken, potato salad, fruit, only. The following payments must accompany brownie, soft drink, and relishes. the preregistraton/housing form and must be Picnic received in Providence by the deadline of July 1, At 6:15 p.m. on Monday, August 8, there will be 1983. a picnic at the Indian Quad South Outdoor Area. 1.) Preregistration fee(s) This meal replaces the regularly scheduled dinner for that night for all participants on meal Plans B, D, F, 2.) Full payment for room/board and H. There is no additional charge for participants 3.) Fee(s) for tickets (if applicable) on either of these plans for the picnic. For those Any form received without an amount sufficient not on any meal plan as well as those on meal Plans to cover the above items will be returned, which A, C, E, or G, the cost of the picnic ticket is $7. will delay processing of the housing request. Any Because the guarantee must be given to the caterer form received with an amount which is more than in advance of the meeting, the picnic will be offered through preregistration only. The menu will feature required will be processed and an appropriate barbecued chicken, hot dogs, hamburgers, assorted refund will be issued. salads, corn, baked beans, watermelon, brownies, Meal Plans Only soda, coffee, tea, and milk. In case of rain, this event For preregistered participants not staying in will be moved to the cafeteria. residence halls, commuters, or those staying in hotels, Beer Party there is a modified plan whereby meals only can A beer party will be held at 7:00 p.m. on Tuesday, be purchased. Meal tickets must be purchased August 9 at the Indian Quad Outdoor Area. Tickets

415 Albany Meetings Travel SuperPhone 800-556-6882 INSTANT ... PERSONALIZED ... IMMEDIATE CONFffiMATION OF TRAVEL AND HOTEL RESERVATIONS FOR THE JOINT MATHEMATICS MEETINGS IN ALBANY, NEW YORK One free call does it all! No forms to mail and no waiting when you use your IIUtjor credit card {VISA, MASTERCARD, American Express or air travel card.) TRAVEL SUPERSERVICE: - Fly to Albany with USAIR. the official carrier for the Joint Mathematics Meetings and get 30 percent or more oft'! No restrictions on reservations purchased at least 14 days in advance. This special offer is available ONLY through Mathematics SuperPhone! Call SuperPhone toll-free today at 800-556-6882 and SAVE! - Unbiased advice on the most direct, economical air routes. - Fast, computerized reservation, ticketing, invoicing, itinerary. - Guaranteed lowest possible air fares for your city. - Automatic "Fare Check" at regular intervals before your departure to assure the most economical rate. If lower fares develop, your ticket will be automatically rewritten at savings to you. HOTEL CONFmMATION: Along with your travel arrangements, ask for immediate confirmation of your hotel accommodations. All hotels for this meeting must be confirmed through this number. N.B.: University aecommodations must be obtained through the Mathematics Meetings Housing Bureau. CALL NOW: 800-556-6882 (In Rhode Island and outside the Continental U.S. call401-884-9500.) Hours of Operation: 9:00a.m. to 7:00p.m. EST, Monday through Thursday, Fridays until 6:00p.m. are $5.35 per person and must be purchased through Lunch 11:30 a.m. to 1:00 p.m. preregistration. In addition to beer, white and red Dinner 5:00 p.m. to 6:30 p.m. wines, soft drinks, potato chips, pretzels and peanuts A sample breakfast served in the dining room will be served. In case of rain, this event will be would be various fruits and juices, eggs (two styles), moved to the cafeteria. sausages, pancakes with syrup, sweet rolls, and assorted jams and jellies. A typical lunch would be MAA Banquet soup, hamburger steak with creole sauce, french fried For those individuals not on any meal plan, as potatoes, salad variations, assorted breads, whipped well as those on meal Plan A and E, the cost of the fruited jello and hot dogs, hamburgers and grilled ticket for the MAA 25-year banquet on Wednesday cheese sandwiches. Dinner menus include cream of is $16.05. There is an additional charge of $9.25 for mushroom soup, browned roast chicken with peach participants on Plan B and F who plan to attend the half or ham and roast beef cold platter, baked potato, banquet. buttered peas, rye bread, ice cream, lemon cake and N.B.: These additional amounts must be fresh apples. Second helpings will be allowed for all ineluded when completing the preregistra­ meals. tion/housing form. As stated elsewhere in the Hotel Accommodations meeting announcement, tickets for the MAA ban­ Blocks of rooms have been set aside for use by quet, pienic, beer party, and cruise are available participants at the hotels listed below. Participants only through preregistration due to deadlines set should make their own reservations early with the by SUNYA. Albany Meetings Travel SuperPhone. (See ·box Food Services above.) Reservations at these hotels will not be Food service in the Indian Quad cafeteria will available by calling the hotel directly. The rates listed below are subject to change, and to an 8 begin with breakfast on Saturday, August 6, and percent sales tax. will end with lunch on Thursday, August 11. No food service will. be available after lunch on In all cases, a one night's deposit including the 8 percent tax is required to guarantee a room. This can Thursday. be charged to a credit card when booking through Only prepaid meals will be served in the cafeteria the Albany Meetings Travel SuperPhone. If an in the basement of Indian Quad. Since dinner will emergency occurs and you find you must cancel your not be available on Thursday, August 11, be sure reservation, this must be done prior to 6:00 p.m. to inelude rate for Plans A, C, E, and/or G for on the day of your arrival, or you will be charged the night of August 10 only. (Plans B, D, F, and for that day. The cut-off date for reservations at H do not apply for that night.) Cafeteria hours of all hotels is July 25, 1983. After this date none of operation are: the hotels are obligated to provide a room at these Breakfast 7:00 a.m. to 8:30 a.m. special rates.

416 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. Locations will be listed in the final program distributed at the Albany meeting.

AMERICAN MATHEMATICAL SOCIETY SHORT COURSE SERIES

SATURDAY, August 6 POPULATION BIOLOGY

11:00 a.m. - 4:00 p.m. REGISTRATION 2:00 p.m. - 2:20 p.m. Introduction to mathematical population biology Simon A. Levin 2:20 p.m. - 3:20p.m. Population dynamics and demography James Frauenthal 3:30 p.m. - 4:30p.m. Epidemiology James York 4:40 p.m. - 5:00 p.m. Summary Simon A. Levin

SUNDAY, August 7

8:00 a.m. - 2:00 p.m. REGISTRATION 9:00 a.m. - 10:00 a.m. Population genetics Thomas Nagylaki 10:10 a.m. - 11:10 a.m. Evolution, game theory, and differential geometry Ethan Akin 11:20 a.m. - 11:45 a.m. Coevolution Simon A. Levin 1:30 p.m. - 2:30 p.m. Optimal control in population biology Wayne Getz 2:40 p.m. - 3:40 p.m. Graph theory and food webs George Sugihara 3:50 p.m. - 4:00 p.m. Summary Simon A. Levin 4:00 p.m. - 4:45 p.m. General discuss ion

JOINT MATHEMATICS MEETINGS

SUNDAY, August 7 American Mathematical Society Mathematical Association of America

9:00 a.m. - 4:00 p.m. I BOARD OF GOVERNORS MEETING 4:00 p.m. - 8:00 p.m. REGISTRATION 4:00 p.m. - 8:00 p.m. AMS BOOK SALE MAA BOOK SALE 5:00 p.m. - 10:00 p.m. COUNCIL MEETING

MONDAY, August 8 AMS MAA 8:00 a.m. - 4:30 p.m. REGISTRATION 8:00 a.m. - 4:30 p.m. AMS BOOK SALE I MAA BOOK SALE 8:15 a.m. - 8:25 a.m. WELCOME ADDRESS 8:30 a.m. - 9:30 a.m. INVITED ADDRESS Harmonic maps of Riemann surfaces James Eells 8:30 a.m. - 10:30 a.m. MINICOURSE #2 Problems from industry for use in the undergraduate cl;.ssroom Jeanne L. Agnew Marvin S. Keener 8:30a.m. - 10:30 a.m. MINICOURSE #3 An introduction to the mathematical tech­ niques and applications of computer graphics Joan Wyzkoski 8:30 a.m. - 10:30 a.m. MINICOURSE #6 Coloring problems David M. Berman 8:40 a.m. - noon CONTRIBUTED PAPER SESSION The use of computers in undergraduate mathematics instruction

417 The estimated walking distance from the hotel to Joint Mathematics Meetings the meetings is given in parentheses following the Member of AMS, MAA, IIME $49 telephone number. The number after the name of Emeritus Member of AMS, MAA $12 the hotel is the number it carries on the map. Nonmember $75 The following codes apply: AC = Air Conditioned; Student/Unemployed $12 CL = Cocktail Lounge; FP = Free Parking; GR = MAA Minicourses #1 through #6 Game Room; RT = Restaurant; SP = Swimming All Participants $20 each Pool; SU = Sauna; TV = Television. Do not submit Minieourse fee( s) In all cases, children 17 years of age and under with preregistation form. can stay in a parent's room at no charge. The rates Registration fees may be paid at the meetings in for cots are noted below for each hotel, as they vary. cash, by personal or travelers' checks, or by VISA cases "Single" refers to one person in one bed; In all or MASTERCARD credit cards. Canadian checks "Double" refers to two persons in one bed; "Twin" must be marked for payment in U.S. funds. refers to two persons in two beds. A rollaway cot There will be no extra charge for members of for an extra person can be added to double or twin the families of registered participants, except that rooms only. all professional mathematicians who wish to attend Ramada Inn (#1 on the campus map) sessions must register independently. 1228 Western Avenue All full-time students currently working toward a Albany, New York 12203 degree or diploma qualify for the student registration Telephone: 518-489-2981 (10 minutes) fees, regardless of income. The unemployed status refers to any person $34 Double: $39 Single: currently unemployed, actively seeking employment, cot $5 Twin $46 Rollaway and who is not a student. It is not intended to Extra person in room: No charge include any person who has voluntarily resigned or Code: AC, CL, FP, GR, RT, SP, SU, TV, retired from his or her latest position. Free transportation is provided to and from the Persons who qualify for emeritus membership in airport, bus station, and AMTRAK station. Upon either the Society or the Association may register at arrival, contact the hotel and request transportation. the emeritus member rate. The emeritus status refers Thruway House (#2 on campus map) to any person who has been a member of the AMS or more, and is retired on 1375 Washington Avenue or MAA for twenty years of age from his or her latest position. Albany, New York 12206 account and Telephone: 518-459-3100 (10 minutes) Nonmembers who register at the meetings pay the $75 nonmember registration fee are entitled Single: $34 Double: $40 to a discount of the difference between the member Twin $40 Rollaway cot $6 registration fee of $49 and the nonmember registration Extra person in room: $6 (18 and over) fee of $75 as a $26 credit against dues in either the Code: AC, CL, FP, RT, SP, TV AMS or MAA, or both, provided they apply for Free van service is provided. Contact the hotel membership before September 11, 1983. upon arrival at the airport. Nonmember students who register at the meetings fee are entitled to TraveLodge (#3 on campus map) and pay the $12 registration a discount of the difference between the student Western Avenue 1230 preregistration fee of $9 and the registration fee of New York 12203 Albany, $12 as a $3 credit against dues in either the AMS or Telephone: 518-489-4423 (10 minutes) MAA or both, provided they apply for membership Single: $29 Double $35 before September 11, 1983. Twin $38 Rollaway cot $4 Nonmembers and nonmember students who thus Extra person in room: No charge qualify may apply for membership at the meetings, Code: AC, FP, SP, TV or by mail afterwards up to the deadline. Registration at the Meetings Registration Dates and Times AMS Short Course Meeting preregistration and registration fees only Lecture Center Vestibule (Outside Lecture Center 1) partially cover expenses of holding meetings. All Saturday, August 6 11:00 a.m. to 4:00 p.m. mathematicians who wish to attend sessions are Sunday, August 7 8:00 a.m. to 2:00 p.m. expected to register, and should be prepared to show their meeting badge, if so requested. The fees for Joint Mathematics Meetings registration at the meetings, which are 30 percent [and MAA Minicourses (until filled)] more than the preregistration fees, are listed below. Lecture Center Vestibule Sunday, August 7 4:00 p.m. to 8:00 p.m. AMS Short Course Monday, August 8 8:00 a.m. to 4:30 p.m. Student/Unemployed $10 Tuesday, August 9, All Other Participants $30 and 8:30 a.m. to 4:30 p.m. One-day Fee (Second Day Only) $15 Wednesday, August 10

418 TIMETABLE

MONDAY, August 8 American Mathematical Society Mathematical A ·-sociation of America

8:40 a.m. - noon CONTRIBUTED PAPER SESSION Classroom notes 11:00 a, m. - noon INVITED ADDRESS Fourier transform: Representation of general linear groups Wen-Ch'lng Winnie Li 1:00 p.m. - 2:00 p. m, COLLOQUIUM LECTURE I On the Coxeter element and the structure of the exceptional Lie groups Bertram Kostant 1:00 p.m.- 5:00p.m. EXHIBITS 2:15 p.m.- 6:00p.m. Special Sessions Sessions for Contributed Papers 5:00 p.m. - 6:00p.m. INVITED ADDRESS I Riemann surfaces and their Wirtinger varieties Robert C. Gunning j 6:15p.m. PICNIC 7:30 p.m. - 9:30 p.m. MINICOURSE #1 Pascal for mathematicians Harley Flanders 7:30 p.m. - 9:30 p.m. MINICOURSE #4 COMAP microcomputer software in mathematics instruction David A. Smith

TUESDAY, August 9 AMS MAA and other Organizations

8:00 a.m. - 10:45 a.m. Special Sessions Sessions for Contributed Papers 8:30 a.m. - 4:30 p.m. REGISTRATION 8:30 a.m. - 4:30p.m. AMS BOOK SALE I MAA BOOK SALE 8:30 a.m. - 4:30p.m. EXHIBITS 8:30 a.m. - 10:30 a.m. MAA - MINICOURSE #5 Commercial microcomputer software in mathematics Instruction David A, Smith 8:40 a.m. - 9:30 a.m. MAA - INVITED ADDRESS Understanding and teaching problem-solving skills A Ian Schoenfeld 9:50 a.m. - 10:40 a.m. MAA - INVITED ADDRESS Have you ever met a polyhedron you did not like ? Branko Griinbaum 11:00 a.m. - noon MAA- THE EARLE RAYMOND HEDRICK LECTURES: Lecture I Some ideas in the development of Fourier analysis Elias M. Stein 1:00 p.m. - 2:00 p.m. COLLOQUIUM LECTURE II On the Coxeter element and the structure of the exceptional Lie groups Bertram Kostant 2:00 p.m. - 4:00 p.m. MAA - MINICOURSE #5 Commercial microcomputer software in mathematics instruction David A, Smith 2:15 p.m. - 3:15 p.m. INVITED ADDRESS The residual spectrum of the linear group Herv~ Jacquet 2:15 p.m. - 3:05 p.m. MAA - INVITED ADDRESS Analysis of complex genetic systems Richard Lewontin 2:15 p.m. - 4:15 p.m. Special Sessions Sessions for Contributed Papers

419 Assistance and Information Desk Local Information Lecture Center Vestibule (Outside Lecture Center 7) This section of the desk will be staffed by members Thursday, August 11 8:30 a.m. to 1:30 p.m. of the Local Arrangements Committee and other volunteers from the Albany mathematical community. Please note that the Joint Mathematics Meetings registration desk will not be open on Thursday, Lost and Found August 11, and that the telephone message center See the meeting cashier. will not be in operation that day. Other services Mail the meeting at the registration desk provided during All mail and telegrams for persons attending the below on will also no longer be available (see section meetings should be addressed to the participant, however, Registration Desk Services). There will, c/o Joint Mathematics Meetings, Department of up in the Lecture Center Vestibule, be a small desk set Mathematics, SUNY, Center at Albany, Albany, where local information will be available and where New York 12222, Mail and telegrams so addressed a staff member will provide limited assistance to may be picked up at the mailbox in the registration participants. No registration or cash transactions will area during the hours the registration desk is open. be possible at this desk. First class mail not picked up will be forwarded after the meeting to the mailing address given on the record. Registration Desk Services participant's registration Personal Messages AMS /MAA Information Participants wishing to exchange messages during the meetings should use the mailbox mentioned Information on the publications and activities of above. Message pads and pencils are provided. It is both organizations may be obtained at this section of regretted that such messages left in the box cannot the registration desk. be forwarded to participants after the meeting is Assistance, Comments and Complaints over. A log for registering participants' comments or Telephone Messages complaints about the meeting is kept at the Trans­ A telephone message center will be located in parencies section of the registration desk. All the registration area to receive incoming calls for participants are encouraged to use this method of participants. The center will be open from August helping to improve future meetings. Comments on all 7-10 only, during the same hours as the Joint phases of the meeting are welcome. If a written reply Mathematics Meetings registration desk. Messages is desired, participants should furnish their name and will be taken and the name of any individual for address. whom a message has been received will be posted Participants with problems of an immediate nature until the message has been picked up at the message requiring action at the meeting should see the director center. The telephone number of the message center of meetings, who will try to assist them. will be announced later. Audio-Visual Equipment Transparencies Speakers wishing to prepare transparencies in Rooms where special sessions and contributed advance of their talk will find the necessary paper sessions will be held will be equipped with an materials and copying machines at this section of overhead projector, screen, and blackboard. the registration desk. A member of the staff will Presenters of ten- or twenty-minute papers are assist and advise speakers on the best procedures and strongly urged to use the overhead projector rather methods for preparation of their material. There is a than the blackboard for their presentation in order modest charge for these materials. Please note that to obtain maximum visibility by all members of the this service will not be available on Thursday, audience of the material being presented. August 11. Members of the AMS/MAA staff will be available Visual Index to advise or consult with speakers on their audio­ visual requirements. An alphabetical list of registered participants, including local addresses, arrival and departure dates, Baggage and Coat Check is maintained in the registration area. Provision will be made for participants checking out of the residence halls early to leave baggage in Information the registration area until leaving the campus. Miscellaneous Check Cashing Athletic Facilities The meeting cashier will cash personal or travelers' At this time, it is not known whether the gym will checks up to $50, upon presentation of the be open during the meetings. If it is, participants official meeting registration badge, provided there may use the swimming pool and squash courts free of is enough cash on hand. Canadian checks must be charge. Tennis courts are free to participants upon marked for payment in U.S. funds. presentation of the meeting badge; they remain lit

420 TIMETABLE

TUESDAY, August 9 American Mathematical Society MAA and Other Organizations

2:30 p.m. - 4:30 p.m. MAA - SECTION OFFICERS MEETING 4:30 p.m. - 5:30 p.m. MAA - BUSINESS MEETING 7:00 p.m. - 10:00 p.m. Pi Mu Epsilon -RECEPTION 7:00p.m. BEER PARTY 7:30 p.m. - 9:30 p.m. MAA - MINICOURSE #1 Pascal for mathematicians Harley Flanders 7:30 p.m. - 9:30 p.m. MAA- MINICOURSE #4 COMAP microcomputer software in mathematics instruction David A. Smith 8:00 p.m. - 9:00 p.m. MAA- EVENING SESSION The MAA newsletters: A dialogue among editors Marcia P. Sward 9:00 p.m. Association for Women in Mathematics PARTY

WEDNESDAY, August 10 AMS MAA and Other Organizations

8:30 a.m. - 9:30 a.m. INVITED ADDRESS Reverse mathematics Leo A. Harrington 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. - 4:30p.m. EXHIBITS 8:30 a.m. - 10:30 a.m. MAA - MINICOURSE #2 Problems from industry for use in the undergraduate classroom Jeanne L. Agnew Marvin S. Keener 8:30 a.m. - 10:30 a.m. MAA - MINICOURSE #3 An introduction to the mathematical tech­ niques and applications of computer graphics Joan Wyzkoski 8:30 a.m. - 10:30 a.m. MAA - MINICOURSE #6 Coloring problems David M. Berman 8:40 a.m. - 10:50 a.m. MAA - CONTRIBUTED PAPER SESSION The undergraduate mathematics curriculum 9:00 a.m. - 11:00 a.m. liME- CONTRIBUTED PAPER SESSION 9:10 a.m. - 10:10 a.m. AWM- PANEL DISCUSSION Grants: Getting them and keeping them 9:45 a.m. - 10:45 a.m. INVITED ADDRESS The Schriidinger equation Ira Herbst 10:10 a.m. - 10:40 a.m. AWM- MEMBERSHIP MEETING 11:00 a.m. - noon MAA - THE EARLE RAYMOND HEDRICK LECTURES: Lecture II Some ideas in the development of Fourier analysis Elias M. Stein noon - 1:00 p.m. liME - COUNCIL LUNCHEON 1:00 p.m. - 2:00 p.m. COLLOQUIUM LECTURE III On the Coxeter element and the structure of the exceptional Lie groups Bertram Kostant 1:00 p.m. - 1:50 p.m. MAA - INVITED ADDRESS Theoretical and experimental contributions to the development of a science of vehicular traffic Robert Hermann 1:00 p.m. - 4:30 p.m. Special Sessions Sessions for Contributed Papers 2:15 p.m. - 3:15 p.m. INVITED ADDRESS Title to be announced Selman Akbulut

421 until approximately 11:30 p.m. There is an off-road Nearby hospitals providing emergency medical care running course around the perimeter of the university are: which is approximately three miles long. St. Peters Hospital, New Scotland Avenue & Book Store Manning Boulevard, 454-1318 Albany Medical Center Hospital, New Scotland The University Book Store is open Monday through Avenue (Near South Lake Avenue), 445-3131 Friday from 9:00 a.m. to 4:00 p.m. The emergency number on campus which should Camping be used to report medical emergencies is 457-7616. There are no camping sites within 15 miles of the Parking university. The closest camping sites are: for all participants in Thompson's Lake State Park (20 miles) There is adequate parking the lot east of Indian Quad. Temporary parking Moreau Lake State Park (45 miles) at the front entrance will be permitted for 10-15 Child Care minutes for check-in purposes. There are no parking fees or sticker requirements. The Local Arrangements Committee will have a list of babysitters available at the Local Information Social Events section of the registration desk during the meeting. See the section on Meal Plans Only which appears earlier in this announcement for full details on the Crib Rental Lake George cruise, picnic, and beer party. The supply of rental cribs available is very limited. Portacribs are available for $10 a week and full­ Travel size cribs for $15 (not including delivery). Interested participants are advised to contact the following as USAIR, the official carrier for the Albany soon as possible: meetings, has agreed to offer a 30 percent minimum tickets on Richard Goldstein, SUNYA, Mathematics Depart­ discount to any participant purchasing ment, 1400 Washington Avenue, Albany, New York its airline at least 14 day in advance through 12203 (518-457-3943). the Albany Meetings Travel SuperPhone. Other fares will, of course, still be available after the Handicapped 14 day limitation. All participants are urged to There is a ramp located at the rear of Mohawk consider this organization for their airline and Tower, Indian Quad, at lobby level which will hotel reservations. This service (which has an 800 facilitate entry into the building. The elevators number) is described in a box contained elsewhere provide easy access to all floors. Bathrooms, however, in this announcement. are not equipped for handicapped persons. In August, Albany is on Eastern Daylight Saving Libraries Time. There is regular airline service to Albany At present, the campus library plans to be open County Airport by several major airline carriers. from 8:00a.m. to 6:00p.m. Monday through Friday. The airport in Albany is approximately five miles Participants may use the library facilities at no from campus. The Ramada Inn provides free charge. transportation to and from the airport, bus station and AMTRAK station. Call the hotel upon arrival. Local Information Pine Hills Yellow Cab Company, whose airport Albany, the state capitol of New York, is steeped number is 869-2258, provides both taxis and in upper Hudson Valley lore, surrounded by fields limousines in its service to the city of Albany and and farmlands. The city was originally settled by the Albany County Airport. The one-way rate from the Dutch in 1609, as the trading post of Fort Orange. airport to the campus is $9.90 for a single passenger, Some of the attractions in the area are Fort Crailo, and $6.40 per person for two or more persons in a a Dutch home and fort built about 1704, and where taxi. Preregistrants are being asked to supply airline the song Yankee Doodle was composed; Schuyler flight arrival dates and times on the preregistration Mansion, built in 1761-1762, and housing a beautiful and housing form. If indications are that arrivals collection of 18th and early 19th century furnishings; will be heavy on a particular flight, Pine Hills Yellow Historic Cherry Hill, built in 1787, and now a Cab Company will provide limousines at a $4.90 per museum; and Ten Broeck Mansion, built in 1797- person rate. It is approximately a fifteen-minute ride. 1798. Also within driving distance is the Saratoga by taxi from the airport to Indian Quad at SUNYA. racetrack, and a visit to the Empire State Plaza in All participants using public transportation to downtown Albany is recommended. reach the campus should instruct the driver to drop them off at the Indian Quad. Medical Services Albany is one-half mile from the intersection of The University Health Service is open for emer­ I-90 (New York Thruway-Mass Pike) and I-87 (New gency care and doctor referrals from 8:00 a.m. to York Thruway and Adirondack Northway). Follow midnight, Monday through Friday. The on-campus l-90 East and take Exit 2 marked "Washington ambulance can be summoned by calling 457-8633. Avenue, SUNY."

422 TIMETABLE

WEDNESDAY, August 10 American Mathematical Society MAA and Other Organizations

2:30 p.m. - 4:30 p.m. liME - CONTRIBUTED PAPER SESSION 3:30 p.m. - 4:30 p.m. INVITED ADDRESS Functional equations over groups, and the mean value property Johan H. B. Kemperman 4:45 p.m. - 6:15 p.m. STEELE PRIZE SESSION AND BUSINESS MEETING 6:00 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. - 9:33 p.m. MAA - FILM PROGRAM 7:00p.m. Points of view: Perspective and projection 7:28 p.m. Dragon fold ... and other ways to fill space 7:39p.m. Caroms 7:52p.m. Linear programming 8:04p.m. Turning a sphere ins ide out 8:27p.m. Hypothesis testing, inferentia 1 statistics Part II 8:55p.m. Journey to the center of a triangle 9:07p.m. Symmetry and tesselations 8:30 p.m. - 9:30 p.m. liME - J. SUTHERLAND FRAME LECTURE How to discover and prove theorems: A demonstration with partitions Henry L. Alder

THURSDAY, August 11 AMS MAA and Other Organizations

8:00 a.m. - 9:00 a.m. liME- DUTCH TREAT BREAKFAST 8:30 a.m. - 10:45 a.m. Special Sessions Sessions for Contributed Papers 8:30 a.m. - 1:30 p.m. ASSISTANCE & INFORMATION DESK 8:40 a.m. - 9:30 a.m. MAA- INVITED ADDRESS Some connections between algebra and set theory Barbara L. Osofsky 8:40 a.m. - 9:30 a.m. MAA- INVITED ADDRESS Progress report of the Commission on Precollege Education in Mathematics, Science, and Technology Katherine P. Layton 9:00 a.m. - noon liME- CONTRIBUTED PAPER SESSION 9:40 a.m. - 10:30 a.m. MAA - INVITED ADDRESS Convexity ideas in geometric function the or,, Thomas H. MacGregor 11:00 a.m. - noon MAA- THE EARLE RAYMOND HEDRICK LECTURES: Lecture III Some ideas in the development of Fourier analysis Elias M. Stein 1:00 p.m. - 2:00 p.m. COLLOQUIUM LECTURE IV On the Coxeter element and the structure of the exceptional Lie groups Bertram Kostant 1:00 p.m. - 1:50 p.m. MAA - INVITED ADDRESS Primality testing Carl Pomerance 2:00 p.m. - 2:50 p.m. MAA - INVITED ADDRESS Galois version of Galois theory Harold M. Edwards 1:00 p.m. - 6:00 p.m. Special Sessions 3:30 p.m. - 5:00 p.m. liME- CONTRIBUTED PAPER SESSION

423 AMTRAK has a station in Rensselaer, 6 miles August Weather from campus. There are connections to Boston, , Montreal, Buffalo, and Chicago. The cost Normal high 81°F Normal low of a cab from the AMTRAK station to the university 59°F is $8 plus $1 per person extra. Record high 99°F Record low Greyhound and Trailways provide bus service from 37°F Average August rain 2-8 inches Boston, New York City, and Buffalo. The cost of the Probability of rain 35% cab from the bus station to the university is $7 plus Average humidity 73% 50 cents per person extra.

Hugo Rossi Salt Lake City, Utah Associate Secretary

Current Trends in Algebraic Topology Richard M. Kane, Stanley 0. Kochman, PaulS. Selick, and Victor P. Snaith, Editors Contents of Part 2 Current trends in algebraic topology is the pro­ ALGEBRAIC VARIETIES, with papers by P. Baum, ceedings of a conference by the same name held at W. Browder and N. Katz, and j. Harper and R. the University of Western , London, Ontario Mandelbaum from June 29 to July 10, 1981. It contains papers GROUP ACTIONS, with papers by A. Assadi, H. which were presented at the conference and some Dovermann, I. Hambleton and I. Madsen, S. lllman, related papers. S. Kahn, L. G. Lewis, J. P. May and J. E. McClure, The book contains research papers in topology T.-Y. Lin, A. Liulevicius, J. P. May and j. E. and so potential readers should be at least at the McClure, T. Petrie, R. Schultz, j. Tornehave, M. level of graduate students in topology. Since the Wang, and A. Zabrodsky book is a collection of research papers from different MANIFOLDS AND STRUCTURES ON MANIFOLDS, areas, papers of interest to any individual will vary with papers by M. Frame, J .-C. Hausmann, W.-C. according to his or her research interests. Anyone Hsiang and B. Jahren, N. Levitt, and S. Wein­ doing research in topology is likely to find some berger papers of interest. TRANSFER, with papers by H. Miller, H. Munkholm Contents of Part 1 and E. Pedersen, and H. Munkholm and A. ALGEBRAIC K-THEORY, with papers by R. Charney, Ranicki M. Karoubi, E. Lluis-Puebla and V. Snaith, V, 1980 Mathematics Subject Classifications: 55-06; 18F25, Snaith (two papers), C. Soule, J · Stienstra, R. 55N20, 55N22, 55P35 & others. Thomason, and F. Waldhausen Conference Proceedings of the GENERALIZED HOMOLOGY AND COHOMOLOGY, canadian Mathematical Society with papers by J. Boardman, P. Landweber and Volume 2: Parts 1 and 2 (soft cover) Z. Yosimura, H. Miller and V. Snaith, D. Ravenel, xxiv + 516 pages (Part 1); xxiv + 484 pages (Part 2) Set: List price $42, AMS institutional member $32, and R. Seymour individual AMS or CMS member $21 HOMOTOPY THEORY, with papers by R. Bruner, ISBN 0-8218·6003-8; LC 82-13789 F. Cohen, D. Davis and M. Mahowald, J. Neisen- Part 1: List price $26, AMS institutional member $20, dorfer and P. Selick, and P. Selick individual AMS or CMS member $13 ISBN 0-8218-6001-1; LC 82·13789 H-SPACES, with papers by J. Harper and R. Kane Part 2: List price $24, AMS institutional member $18, ORDINARY HOMOLOGY AND COHOMOLOGY, individual AMS or CMS member $12 ISBN D-8218-6002-X; LC 82-13789 with papers by A. Bahri, A. Baker, S. Kochman, Publication date: October 1982 D. Kraines and T. Lada, J. McCleary, S. Papastav- To order, please specify (Set) CMSAMS/2N ridis, and D. Pengelley (Port 1) CMSAMS/2.1 N, (Part 2) CMSAMS/2.2N 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.

424 Fairfield, October 28-29, 1983, Fairfield University First announcement of the 806th meeting

The eight hundred and sixth meeting of the Registration American Mathematical Society will be held at The meeting registration desk will be located in Fairfield University in Fairfield, Connecticut, on the Lobby of Gonzaga Hall, and will be open from Friday and Saturday, October 28 and 29, 1983. 12:30 p.m. to 5:30 p.m. on Friday, and from 8:30 Invited Addresses a.m. to 1:30 p.m. on Saturday. The registration fees By invitation of the Committee to Select Hour are $10 for members, $16 for nonmembers, and $5 for Speakers for Eastern Sectional Meetings, there will students or unemployed mathematicians. be three invited one-hour addresses. The speakers, Accommodations their affiliations, and the titles of their talks, are as Rooms have been blocked at the Fairfield Motor follows: Inn, which is approximately two miles from the JOHN L. HARER, Columbia University and the campus. Individuals should make their own University of Maryland, Homology of the moduli reservations, and identify themselves as participants space of curves. in the American Mathematical Society's meeting at JOHN HUBBARD, Cornell University and Harvard Fairfield University. The cut-off date for reservations University, Dynamics of rational maps. is August 15. The rates listed below are subject to DANIEL J. KLEITMAN, Massachusetts Institute possible change and do not include applicable taxes. of Technology, Dependent intervals. Fairfield Motor Inn Special Sessions 417 Post Road, Fairfield 06430 By invitation of the same committee, there will Telephone: 203-255-0491 be four special sessions of selected twenty-minute Single $50.50 Double $60.50 papers. The topics of these special sessions, and Although rooms have not been blocked at the the names and affiliations of the mathematicians following motels (which are approximately five or arranging them, are: more miles from campus), they are included here for Theory of infinite groups, BEN FINE, Fairfield information purposes. University. Merritt Parkway Motor Inn Surfaces and three-manifolds, WILLIAM Black Rock Turnpike, Fairfield 06430 GOLDMAN, Massachusetts Institute of Technology Telephone: 203-259-5264 and the University of Maryland, and JOHN L. Single or Double $43 HARER. Pequot Motor Inn , DANIEL J. KLEITMAN. Topics in complex analysis, DOROTHY B. 3471 Post Road, Fairfield 06430 SHAFFER, Fairfield University. Telephone: 203-259-7885 Most of the papers to be presented at these special Single or Double $48 sessions will be by invitation. However, anyone (The Pequot Motor Inn has a few large rooms at $65 submitting an abstract for the meeting who feels that per night, which can accommodate groups of four.) his or her paper would be particularly appropriate Westport New Englander Inn for one of these special sessions should indicate 1595 Post Road East, Westport 06880 this clearly on the abstract form, and submit it Telephone: 203-259-5236 by August 2, three weeks before the deadline for Single or Double $75 contributed papers, in order that it may be considered for inclusion. Parking Contributed Papers Ample free parking will be available at several lots scattered about the campus. There will also be sessions for contributed ten­ minute papers. Abstracts should be prepared Travel on the standard AMS form available from the The Metropolitan Transit Authority provides fre­ AMS office in Providence or in departments of quent commuter service between Grand Central Sta­ mathematics. Abstracts should be sent to the tion in New York City and New Haven, Connecticut, American Mathematical Society, P. 0. Box 6248, with Fairfield as an intermediate stop. The train Providence, Rhode Island 02940, so as to arrive prior station in Fairfield is approximately 1.5 miles from to the deadline of August 23. Members are reminded campus, and economical taxi service is available. that a charge of $12 is imposed for retyping abstracts Many trains on Amtrak's Northeast corridor service that are not in camera-ready form. (operating between Boston and Washington) stop It appears unlikely that late papers can be at Bridgeport, which is about five miles from the accommodated. Fairfield University campus. Taxi service is available

425 from the station. Amtrak tickets to Bridgeport are From there, the Connecticut Limousine service is a sold only from locations south of New York or east reliable company whose cars and buses depart from of New Haven. both these airports at intervals not exceeding one For those driving to the meeting, Fairfield hour. The ride to Fairfield takes approximately 90 University is very close to Exit 22 of the Connecticut minutes. The cost is $18 one way or $35 round trip. Turnpike, and is about 10 minutes from Exit 44 of Upon request, passengers are delivered to the Fairfield the Merritt Parkway. Motor Inn or to the Westport New Englander Inn. Since there is no scheduled airline service to Fairfield, participants are advised to obtain flights W. Wistar Comfort Secretary into LaGuardia or Kennedy Airports in New York. Middletown, Connecticut Associate

AMS SHORT COURSE LECTURE NOTES A Subseries in Proceedings of Symposia in Applied Mathematics

The Mathematics of Networks chapter, The Computational Complexity of Network of this Stefan A. Burr, Editor Problems, Richard Karp gives an account theory, with an emphasis on network problems. In This volume represents a considerable expansion the fourth chapter, Effective Use of Heuristic Algo­ of the lecture notes prepared for the Short Course rithms in Network Design, Shen Lin demonstrates by on the Mathematics of Networks at the Summer means of a case study some of the ways it is possible Meeting in Pittsburgh in August 1981. to get plausible solutions to problems for which The theory of networks is a lively one, both in exact solutions arc out of the question. terms of developments in the theory itself and in terms of the variety of its applications. This volume In the fifth chapter, Some Practical Network Prob­ introduces most of the basic ideas of network theory lems, discusses four applications of and develops some of these ideas to a considerable the mathematics of networks. These consist of the extent. In addition, a number of more specialized design of irrigation systems, the theory of electrical topics were introduced, including a number of areas networks (the first area of network theory to be of active research and a wide variety of applications, developed systematically), the scheduling of delivery in order to indicate the breadth and depth of the field. trucks, and the physics of icc. In the sixth chapter, The first chapter, Introduction to Basic Network Telephone Switching Networks, Nicholas Pippenger Problems, sets the stage. Frank Boesch gives the basic presents an area of network theory that leads to dif­ definitions in the mathematics of networks, and in ficult mathematics drawn from such apparently u nre­ the closely-related topic of graph theory. He dis· lated field as harmonic analysis. In the final chapter, cusses two fundamental network problems, the short· Concluding Remarks, the editor makes some general est path problem and the minimum spanning tree comments, presents a chronology of events relating problem, and some of their variants. He also discusses to the theory of networks, and gives a short bibli­ network reliability. In the second chapter, Maximum ography. Flows in Networks, Frances Yao considers the prob­ lem many consider the most fundamental of all in 1980 Mathematics Subject Classification: 90899 the field. The history of this topic is one of steady Proceedings of Symposia in Applied Mathematics Volume 26, viii + 142 pages (hard cover and soft cover) improvement in the performance of the Soft cover prices: List $16, institutional member $12 to solve it, and this chapter gives an account of sev­ individual member $8 ' eral of the steps in this history. Hard cover prices: List $22, institutional member $17, One of the most significant recent developments individual member $11 ISBN 0-8218-0031·0; LC 82-18469 in discrete mathematics is the recognition that many Publication date: December 1982 natural problems in areas such as network theory To order, please specify PSAPMI26N (hard cover) appear to be inherently intractable. In the third PSAPMS/26N (soft cover)

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.

426 San Luis Obispo, November 11-12, 1983, California Polytechnic State University First announcement of the 807th meeting

The eight hundred and seventh meeting of American Mathematical Society, P. 0. Box 6248, the American Mathematical Society will be held Providence, Rhode Island 02940, so as to arrive prior at California Polytechnic State University in San to the abstract deadline of August 25. Members are Luis Obispo, California, on Friday and Saturday, reminded that a charge of $12 is imposed for retyping November 11 and 12, 1983. This meeting will be held abstracts that are not in camera-ready form. in conjunction with a meeting of the Mathematical MAAProgram Association of America (MAA). No information is available regarding MAA sessions Invited Addresses at this time. Details will be announced later. By invitation of the Committee to Select Hour Registration Speakers for Far Western Sectional Meetings, there Registration will take place on Friday and will be two invited one-hour addresses. The speakers, Saturday. The location of the registration desk their affiliations, and the titles of their talks, are as hours it will be open will be announced in the follows: and August issue of the Notices. The registration fees PETER B. GILKEY, University of Oregon, are $6 for members of the AMS or MAA, $8 for of analysis to topology. Applications nonmembers, and $2 for students or unemployed T. S. LAM, University of California, Berkeley, mathematicians. The arithmetic of fields. Social Events Special Sessions A banquet will be held on Friday evening at the By invitation of the same committee, there will Madonna Inn. Preceding the banquet, there will also be six special sessions of selected twenty-minute be a no-host cash bar at the Madonna Inn, starting papers. The topics of these special sessions and at 6:00 p.m. The featured speaker at the banquet the names and affiliations of the mathematicians will be announced later. There will be a luncheon on arranging them, are: campus at noon on Saturday. Information concerning Geometric methods for partial differential equa­ reservations for these events should be available in tions, IAN M. ANDERSON, Utah State University. time for publication in the August Notices. The Singular perturbations, E. COUTSIAS and J. local organizer is Euel Kennedy of California State MUELLER, University of New Mexico. Polytechnic Institute. Any questions regarding these The lower division curriculum in mathematics, functions should be directed to him at 805-546-2245. including calculus, MARTIN FLASHMAN, Hum­ Local Information boldt State University. half-way between Numerical partial differential equations, San Luis Obispo is approximately Angeles and San Francisco on the coast (about WLODEK PROSKUROWSKI, University of Los kilometers from either city). The area is served Southern California. 300 daily by bus, Amtrak, and Wings West Airline from Automorphic forms, AUDREY A. TERRAS, either San Francisco or Los Angeles. The train ride University of California, San Diego. along the coast is very scenic and popular and those Partial differential equations, theory and ap­ interested in coming to San Luis Obispo via Amtrak plication, AHMED I. ZAYED, California Polytechnic are advised to make reservations early. The weather State University. in November along the California coast tends to be Most of the papers to be presented at these special mild, if somewhat damp. However, anyone sessions will be by invitation. Information regarding local attractions, hotels and for the meeting who feels that submitting an abstract motels, will be available in the next announcement. his or her paper would be particularly appropriate for one of these special sessions should indicate this Hugo Rossi clearly on the abstract form and submit it by August Salt Lake City, Utah Associate Secretary 4, three weeks before the deadline for contributed papers, in order that it may be considered for inclusion. Contributed Papers There will also be sessions for contributed ten­ minute papers. Abstracts should be prepared on the standard AMS form available from the AMS office in Providence or in departments of mathematics. Abstracts should be sent to the

427 Evanston, November 11-12,1983, Northwestern University First Announcement of the 808th Meeting

The eight hundred and eighth meeting of the Approximation theory, STEPHEN D. FISHER, American Mathematical Society will be held at Northwestern University. Northwestern University, Evanston, Illinois, on Friday Harmonic analysis and its applications to and Saturday, November 11 and 12, 1983. The partial differential equations, CARLOS E. KENIG, sessions on Friday will be held in the Norris University University of Minnesota, Minneapolis. Center, while the sessions on Saturday will be held in Volterra integral and integra-differential equa­ Leverone Hall. tions, JOHN A. NOHEL, University of Wisconsin, Invited Addresses Madison. By invitation of the 1982 Committee to Select Connections between codes and designs, VERA Hour Speakers for Central Sectional Meetings, there S. PLESS, University of Illinois at Chicago. will be four invited one-hour addresses. The speakers, Algebraic topology, STEWART B. PRIDDY, their affiliations, their titles, and the scheduled times Northwestern University. of presentation are as follows: Commutative algebra, JUDITH D. SALLY, EIICHI BANNAI, Ohio State University, Colum­ Northwestern University. bus, Orthogonal polynomials and algebraic com­ Most of the papers to be presented at these binatorics, 11:00 a.m. Friday. special sessions will be by invitation. However, BURGESS J. DAVIS, Purdue University, anyone contributing an abstract for the meeting who Brownian motion and analytic functions, 1:45 feels that his or her paper would be particularly p.m. Friday. appropriate for one of these special sessions should the abstract, and submit it EUGENE B. FABES, University of Minnesota, indicate this clearly on before the deadline for Minneapolis, Harmonic analysis and properties by August 8, three weeks of solutions of partial differential equations with contributed papers, in order that it may be considered nonsmooth coefficients, 11:00 a.m. Saturday. for inclusion. REINHARD E. SCHULTZ, Purdue University, Contributed Papers Nonlinear analogues of linear group actions on There will also be sessions for contributed ten­ spheres, 1:45 p.m. Saturday. minute papers. Abstracts should be prepared Special Sessions on the standard AMS form available from the AMS office in Providence, or in departments of By invitation of the same committee, there will mathematics. Abstracts should be sent to the be nine special sessions of selected twenty-minute American Mathematical Society, P. 0. Box 6248, papers. The topics of these special sessions, and Providence, Rhode Island 02940, so as to arrive prior the names and affiliations of the mathematicians to the abstract deadline of August 29. Members arranging them, are: are reminded that a charge of $12 is imposed for Local fields in number theory and algebraic retyping abstracts that are not in camera-ready form. geometry, ALAN ADOLPHSON, Oklahoma State University. Travel and Accommodations Operator theory in classical function spaces, Information concerning travel and accommodations EARL R. BERKSON, University of Illinois, Urbana­ will be included in the next announcement. Champaign. Paul T. Bateman and related parts of analysis, Probability Urbana, Illinois Associate Secretary DONALD L. BURKHOLDER, University of Illinois, Urbana-Cha.n paign.

428 Call For Topics For 1985 AMS Conferences

Suggestions are invited from mathematicians, published by the Society as volumes in the series either singly or in groups, for topics of the various SIAM-AMS Proceedings. conferences that will be sponsored by the Society in Deadline For Suggestions: August 15, 1983 1985. The deadline for receipt of these suggestions, and the name and address of the person to whom Submit to: Professor Alan C. Newell, Chairman, the information should be sent, as well as some AMS-SIAM Committee on Applied Mathematic.s, relevant information about each of the conferences Program in Applied Mathematics, University of are outlined below. The accompanying form {or Arizona, Tucson, Arizona 85721. a facsimile thereof) is to be used when submitting suggested topic{s) for any of these conferences. 1985 AMS Summer Institute Individuals willing to serve as organizers should be aware that the professional meeting staff in the Summer institutes are intended to provide an Society's Providence office will provide full support understandable presentation of the state of the art and assistance, before, during, and after each of in an active field of research in pure mathematics, these conferences. Organizers should also note that and usually extend over a three-week period. Dates a member of the Organizing Committee must be for a summer institute must not overlap those of willing to serve as editor of the proceedings volume the Society's summer meeting (not known at this that will be published by the Society. printing, but sometime in August) and, in fact, there All suggestions must include {1) the names and should be a period of at least one week between them. affiliations of proposed members and chairman of Recent topics have been Operator algebras and the Organizing Committee; {2) a two- or three­ applications (1980); Singularities (1981); Recursion page detailed outline of the subject{s) to be covered, theory (1982); and Nonlinear functional analysis including the importance and timeliness of the and its applications (1983). Proceedings are pub­ topic; {3) a list of the recent conferences in the lished by the Society as volumes in the series same or closely related areas; {4) the names and Proceedings of Symposia in Pure Mathematics. affiliations of the proposed principal speakers; {5) Deadline For Suggestions: August 15, 1983 a list of likely candidates who would be invited to participate and their current affiliations; and {6) any Submit to: Professor Robert Osserman, Chairman, other observations which may affect the size of the AMS Committee on Summer Institutes, Department conference and the amount of support required. Any of Mathematics, Stanford University, Stanford, suggestions as to sites and dates should be made California 94305. as early as possible in order to allow adequate time for planning. By action of the AMS Board of 1985 AMS-SIAM Symposium Trustees, the Meetings Department of the Society Some Mathematical Questions in Biology is responsible for the final selection of the site for each conference, and for all negotiations with the This one-day symposium is held in conjunction host institution. Individuals submitting suggestions with the Annual Meeting of the AAAS in May. for the conferences listed below are requested to Some recent topics in these annual symposia recommend sites or geographic areas which would have been Theoretical and experimental studies assist the Meetings Department in their search for in cellular, developmental and population biology an appropriate site. In the case of Joint Summer (1980), Biomechanics and mathematical models in Research Conferences in the Mathematical Sciences, a developmental biology (1981), Neurobiology, the one-, two-, or three-week conference may be proposed. study of the nervous systems of oraganisms (1982). The 1983 Symposium will be on Muscle physiology. 1985 AMS-SIAM Symposium In Papers from the symposium are published by the Applied Mathematics Society as volumes in the series Lectures on Mathematics in the Life Sciences. A two-day symposium in applied mathematics will Deadline For Suggestions: August 15, 1983 henceforth take place in every odd-numbered year in conjunction with a spring Eastern Sectional Meet­ Submit to Dr. Robert M. Miura, Chairman, ing. The 1983 symposium, whose topic is Inverse AMS-SIAM Committee on Mathematics in the Life problems, will be held in New York City on April Sciences, Department of Mathematics, University 12-13. The next such symposium will be held during of British Columbia, 121-1984 Mathematics Road, the two days preceding the 1985 spring meeting Vancouver, B.C., Canada. at a site that has not yet been selected. Some topics in recent years have been Computational fluid 1985 AMS-SIAM Summer Seminar dynamics (1977); Mathematical problems in frac­ ture mechanics (1978); and Mathematical psychol­ The goal of the summer seminar is to provide an ogy and psychophysiology (1980). Proceedings are environment and program in applied mathematics

429 in which experts can exchange the latest ideas and of singularities, and Kleinian groups. Proceedings newcomers can learn about the field. Recent topics are scheduled to be published by the Society as are Algebraic and geometric methods in linear volumes in the series Contemporary Mathematics. systems theory (1979), Mathematical aspects of Deadline For Suggestions: August 15, 1983 physiology (1980), Fluid dynamical problems in astrophysics and geophysics (1981), Applications Submit to: Professor R. 0. Wells, Jr., Chairman, of group theory in physics and mathematical Committee on Joint Summer Research Conferences physics (1982), and Large-scale computations in in the Mathematical Sciences, Department of Mathe­ fluid mechanics (1983). Proceedings are published matics, Rice University, Houston, Texas 77001. by the Society as volumes in the series Lectures in Applied Mathematics. 1985 AMS Short Course Series Deadline For Suggestions: August 15, 1983 The AMS Short Courses consist of a series of Submit to: Professor Alan C. Newell, Chairman, lectures and discussions ordinarily extending over a AMS-SIAM Committee on Applied Mathematics, period of one and one-half days immediately prior to Program in Applied Mathematics, University of the Joint Mathematics Meetings held in January and Arizona, Tucson, Arizona 85721. August each year. Each of the courses is devoted to a specific area of applied mathematics or to areas of 1985 Joint Summer Research Conferences mathematics used in the study of a specific subject in the Mathematical Sciences or collection of problems in one of the physical, biological, or social sciences. Topics in recent years These conferences are similar in structure to have been Networks (August 1981), Tomography those held at Oberwolfach, and represent diverse (January 1982), Statistical Data Analysis (August areas of mathematical activity, with emphasis on 1982), Computer Communications (January 1983), areas currently especially active. Careful attention and Population Biology (August 1983). Proceedings is paid to subjects in which there is important are published by the Society as volumes in the series interdisciplinary activity at present. Topics for Proceedings of Symposia in Applied Mathematics. the second series of one-week conferences, being Deadline for Suggestions: July 1, 1983 for held in 1983, are Combinatorics and algebra, January 1985 course and December 1, 1983 for Applications of algebraic K-theory to algebraic August 1985 course geometry and number theory, Axiomatic set theory, Group actions on manifolds, Ordered Submit to: Professor Stefan A. Burr, Chairman, fields and real algebraic geometry, Microlocal AMS Short Course Subcommittee, Department of analysis, Fluids and plasmas, geometry and Computer Sciences, CUNY, City College, New York, dynamics, Probability theory, partial differential New York 10031. equations and applications, Geometrical analysis

CONTENTS I. Embedding finite covers into bundles: Remov­ ing singularities of maps, Singularities of maps into bundles, Embedding covering spaces into bundles, The obstruction. II. Embedding manifold-like continua up to shape: Applications of Part I to embedding continua up to shape, An n-manifold-like compactum which does Embedding Coverings into Bundles not embed up to shape in R2n, Singularities of cov­ with Applications erings of immersions, Embedding up to shape mani­ fold-like continua whose factors need not embed, P. F. Duvall and L. S. Husch Embedding double coverings, An example, n-mani­ The problem of when a finite regular covering of fold-like continua which do not embed up to shape an n·dimensional closed piecewise linear manifold M in R2n. can be homotoped to an embedding in an n-plane 1980 Mathematics Subject Classifications. 57 R40, 57035, bundle over M is solved. As a corollary, a generaliza­ 57N35 tion of the Borsuk-Uiam Theorem is obtained. These Memoirs of the American Mathematical Society results are then applied to the problem of embedding Memoir Number 263, iv + 55 pages (soft cover) up to shape in 2n-dimensional Euclidean space con­ list price $8, institutional member $6, individual member $4 tinua which are the inverse limits of n-dimensional ISBN 0·8218-2263·2; l..c 82-8742 manifolds. An example of such a continuum which Publication date: july 1982 does not embed up to shape in 2n-space is given. To order, please specify MEM0/263N 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.

430 American Mathematical Society Conferences Suggested Topic For 1985 Conference (check one)

D AMS-SIAM Symposium in Applied Mathe­ D AMS-SIAM Summer Seminar (In applied math­ matics (Held in conjunction with an Eastern ematics and held in June/ July) Sectional Meeting) Submit this form before the August 15, 1983 Submit this form before the August 15, 1983 deadline. deadline. D Joint Summer Research Conferences in the D AMS Summer Institute (In pure mathematics Mathematical Sciences (Series of six to ten and usually held in July/August) week-long conferences held in June/ July j August) Submit this form before the August 15, 1983 Submit this form before the August 15, 1983 deadline. deadline. D AMS Symposium on Some Mathematical D AMS Short Course Series (Held in conjunction Questions in Biology (Held in conjunction with with Annual and Summer meetings) AAAS Annual Meeting) Submit this form before the July 1, 1983 and Submit this form before the August 15, 1983 December 1, 1983 deadlines. deadline.

Please print or type your responses. Return completed application to chairman of appropriate committee by deadline listed.

I propose organizing an AMS conference in 1985, as specified above, on the following topic:

I suggest the following members and chairman of the Organizing Committee. These individuals have D j have not D been requested to serve on that committee. (Prospective committee members, chairman, and their current affiliations.)

Date ______Submitted by------Address ______

N.B.: Please attach a two- or three-page detailed outline of the subject(s) to be covered, including the importance and timeliness of the topic, a list of the recent conferences in the same or closely related areas, the names and affiliations of the proposed principal speakers, and a list of appropriate candidates for invitations to participate and their current affiliations. Care and attention should be devoted to the size of the proposed conference and its relationship to limitations of funding support available. These limitations are very real at the present time, due to the general shortage of funds available for the support of research. Any extraordinary expenses should be supported by special justification. 4/83

431 Wen-Ch'ing Winnie Li, Automorphic functions and Invited Speakers automorphic representations and Special Sessions R. Michael Range, Several complex variables Billy E. Rhoades, Summability methods Invited Speakers at AMS Meetings V. M. Sehgal and S. P. Singh, Solutions of operator The individuals listed below have accepted invita­ equations and fixed points tions to address the Society at the times and places Srinivasa Swaminathan, Differential analysis in indicated. For some meetings, the list of speakers is infinite dimensional spaces incomplete. Edward C. Turner, Topological methods in com­ Albany, August 1983 binatorial group theory in Fairfield Selman Akbulut Herve Jacquet October 1983 Meeting James Eells J. H. B. Kemperman Easteri1"Section Robert C. Gunning Bertram Kostant Deadline for organizers: Expired August 2, 1989 Leo A. Harrington (Colloquium Lecturer) Deadline for consideration: Ira Herbst Wen-Ch'ing Winnie Li Ben Fine, Theory of infinite groups William Goldman and John L. Harer, Surfaces and Fairfield, October 1983 three-manifolds John L. Harer Daniel J. Kleitman Daniel J. Kleitman, Combinatorics John Hubbard Dorothy B. Shaffer, Topics in complex analysis San Luis Obispo, November 1983 November 1983 Meeting in San Luis Obispo Peter B. Gilkey T. S. Lam Far Western Section Deadline for organizers: Expired Evanston, November 1983 Deadline for consideration: August 4, 1989 Eiichi Bannai Eugene B. Fabes Ian M. Anderson, Geometric methods for partial Burgess J. Davis Reinhard E. Schultz differential equations Louisville, January 1984 E. Coutsias and J. Mueller, Singular perturbations Martin Flashman, The lower division curriculum Gunnar Carlsson M. Susan Montgomery in mathematics, including calculus Simon Persi Diaconis Herbert A. Wlodek Proskurowski, Numerical partial differen­ Simon Donaldson (Gibbs Lecturer) tial equations Andrew Majda Leon Simon Audrey A. Terras, Automorphic forms Notre Dame, April1984 Ahmed I. Zayed, Partial differential equations, Nigel J. Kalton Karel L. Prikry theory and applications Paul G. Nevai William Schelter November 1983 Meeting in Evanston Organizers and Topics Central Section Deadline for organizers: Expired of Special Sessions Deadline for consideration: August 8, 1989 The list below contains all the information about Alan Adolphson, Local fields in number theory and Special Sessions at meetings of the Society available algebraic geometry at the time this issue of the Notices went to the Earl R. Berkson, Operator theory in classical printer. function spaces The section below entitled Information for Donald L. Burkholder, Probability and related parts Organizers describes the timetable for announcing of analysis the existence of Special Sessions. Stephen D. Fisher, Approximation theory and its August 1983 Meeting in Albany Carlos E. Kenig, Harmonic analysis applications to partial differential equations Associate Secretary: Hugo Rossi John A. Nohel, Volterra integral and integra­ Expired Deadline for consideration: differential equations Melvyn S. Berger and Alexander Eydeland, The Vera S. Pless, Connections between codes and calculus of variations in the large and its designs applications Stewart B. Priddy, Algebraic topology Louis Block, Dynamical systems D. Sally, Commutative algebra Nathaniel A. Friedman, Ergodic theory concerning Judith point transformations with finite invariant January 1984 Meeting in Louisville measure Associate Secretary: W. Wistar Comfort Colin C. Graham and Bert M. Schreiber, Tensor Deadline for organizers: Expired products and p-summing operators in har­ Deadline for consideration: October 12, 1989 monic analysis J. T. Beale, Incompressible fluid flow Timothy L. Lance, Applications of algebraic Persi Diaconis, Random walks on finite groups topology M. Susan Montgomery and Lance Small, Ring theory

432 April1984 Meeting in Notre Dame meetings: no Special Session may be approved too Central Section late for its announcement to appear in time to Deadline for organizers: July 15, 1989 allow a reasonable interval for members to prepare Deadline for consideration: To be announced and submit their abstracts prior to the special early Spring 1984 Meeting deadline set for consideration of papers for Special Far Western Section Sessions. Deadline for organizers: July 15, 1989 Information for Speakers Deadline for consideration: To be announced A great many of the papers presented in Special Spring 1984 Meeting Sessions at meetings of the Society are invited papers, Eastern Section but any member of the Society who wishes to do Deadline for organizers: July 15, 1989 so may submit an abstract for consideration for Deadline for consideration: To be announced presentation in a Special Session, provided it is Spring 1984 Meeting received in Providence prior to the special early Southeastern Section deadline announced above and in the announcements Deadline for organizers: July 15, 1989 of the meeting at which the Special Session has been Deadline for consideration: To be announced scheduled. Abstracts of papers submitted for consideration for Information for Organizers presentation at a Special Session must be received Special Sessions at Annual and Summer meetings by the Providence office (Editorial Department, are held under the general supervision of the American Mathematical Society, Post Office Box Program Committee. They are administered by 6248, Providence, RI 02940) by the special deadline the Associate Secretary in charge of the meeting with for Special Sessions, which is usually three weeks staff assistance from the Society office in Providence. earlier than the deadline for contributed papers for Some Special Sessions arise from an invitation to the same meeting. The Council has decreed that no a proposed organizer issued through the Associate paper, whether invited or contributed, may be listed Secretary. Others are spontaneously proposed by in the program of a meeting of the Society unless an interested organizers or participants. Such proposals abstract of the paper has been received in Providence are welcomed by the Associate Secretaries. prior to the deadline. The number of Special Sessions at a Summer or Annual Meeting is limited to twelve. Proposals, invited or offered, which are received at least Send Proposals for Special Sessions to the nine months prior to the meeting are screened for Associate Secretaries suitability of the topic and of the proposed list The programs of sectional meetings are arranged by of speakers, and for possible overlap or conflict the Associate Secretary for the section in question: with other proposals (specific deadlines for requesting Far Western Section (Pacific and Mountain) approval for Special Sessions at national meetings are Hugo Rossi, Associate Secretary given above). If necessary, the numerical limitation Department of Mathematics is enforced. University of Utah Salt Lake City, UT 84112 Proposals for Special Sessions should be submitted (Telephone 801-581-8159) directly to the Associate Secretary in charge of the Central Section meeting (at the address given in the accompanying Paul T. Bateman, Associate Secretary box). If such proposals are sent to the Providence Department of Mathematics office, addressed to the Notices, or directed to anyone University of illinois other than the Associate Secretary, they will have Urbana, IL 61801 to be forwarded and may not be received before the (Telephone 217-333-4996) quota is filled. Eastern Section In accordance with an action of the Executive W. Wistar Comfort, Associate Secretary Department of Mathematics Committee of the Council, no Special Session may Wesleyan University be arranged so late that it may not be announced in Middletown, CT 06457 the Notices early enough to allow any member of the (Telephone 203-347-9411) Society, who wishes to do so, to submit an abstract Southeastern Section for consideration for presentation in the Special Frank T. Birtel, Associate Secretary Session before the deadline for such consideration. Department of Mathematics Special Sessions are effective at sectional meetings Tulane University New Orleans, LA 70118 and can usually be accommodated. They are arranged (Telephone 504-865-5646) by the Associate Secretary under the supervision of As a general rule, members who anticipate organizing the Committee to Select Hour Speakers for the Special Sessions at AMS meetings are advised to seek section. The limitation on the number of sessions approval at least nine months prior to the scheduled date depends on the space and time available. The same of the meeting. No Special Sessions can be approved too late to provide adequate advance notice to members restriction as for national meetings applies to the who wish to participate. deadline for announcing Special Sessions at sectional

433 Special Meetings

THIS 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), deadlines 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 for entries in this section 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.

1982-1983. Special Year in Lie Group Representations, 20-21. Meeting on Partial Differential Equations, Brighton, University of Maryland, College Park, Maryland. (June Great Britain. (February 1983, p. 206) 1982, p. 373) 21. Twelfth Annual State of Jefferson Mathematics July 1, 1982-September 1, 1983. Special Year in Math­ Congress, Whiskeytown Lake, Redding, California. (April ematics Related to Energy, University of Wyoming, 1983, p. 361) Laramie, Wyoming. (October 1982, p. 588) 22-29. Third International Conference on Functional­ September 1, 1982-August 31, 1983. Statistieal and Differential Systems and Related Topics, Blazejewko, Continuum Approaches to Phase Transition, Institute Poland. (November 1982, p. 700) its Applications, University of for Mathematics and 23-25. Eighteenth New Zealand Mathematics Colloquium, Minnesota. (January 1982, p. 74) Minnesota, Minneapolis, Massey University, Palmerstown North, New Zealand. October 31, 1982-0ctober 1, 1983. Mathematisches Forsch­ (October 1982, p. 589) ungsinstitut Oberwolfaeh (Weekly Conferences), Federal 23-28. International Symposium on Multiple-Valued Logie, Republic of Germany. (November 1982, p. 698) Kyoto, Japan. (April1983, p. 361) 1983-1984. Aeademic Year Devoted to Problems on Journees de Ia recherche operationnelle, Saint­ Iteration in Classieal Real and Complex Analysis, The 24-25. Etienne, France. (February 1983, p. 207) Mittag-Leffier Institute, Djursholm, Sweden. (February 1983, p. 205) 24-27. Journees de statistique, Lyon, France. (February 207) 1983. Special Year in Commutative Algebra and Al­ 1983, p. gebraic Geometry, University of lllinois, Urbana, lllinois. 24-27. Sixteenth Colloque National d'Analyse Numerique, (November 1982, p. 699) Guide!, France. Information: R. Temam and A. Lichnewski, Lab. Anal. MA¥1983 Num., Bat. 425, Universite Paris-Sud, 91405 Orsay, Cedex, France. of Efficient 16-18. Short Course on Design and Analysis 24-June 12. First Southeast Asian Colloquium on Graph Carolina. Algorithms, The Citadel, Charleston, South Theory, National University of Singapore. (November (April 1983, p. 361) 1982, p. 700) on Inverse Seattering: Theory and 16-18. Conference 26-31. AAAS Annual Meeting, Detroit, Michigan. Applieations, Tulsa, Oklahoma. (February 1983, p. 206) Information: 1776 Massachusetts Avenue, Washington, 16-18. Fifth Symposium on Mathematieal Programming D.C. 20036. with Data Perturbations, George Washington University, 3. International Colloquium in Honor of Washington, D.C. (January 1983, p. 78) 30-June Laurent Sehwartm, Ecole Polytechnique, Palaiseau, France. 16-19. National Computer Conference, Anaheim, Califor­ (November 1982, p. 700; April1983, p. 361) nia. Conference on Nonlinear Information: AFIPS, 1815 North Lynn Street, Arlington, 31-June 10. Berkeley-Ames Bechtel Virginia 22209. Problems in Control and Fluid Dynamics, Center, The University of California, Berkeley, Berkeley, 16-20. Twenty-seventh Annual Meeting of the Australian California. (April1983, p. 361) Mathematieal Society, The University of Queensland, Brisbane, Australia. (February 1983, p. 206) JUNE 1983 17-19. Conference on Large Seale Scientific Computation, Mathematics Research Center, University of Wisconsin, 4-9. Tenth International Conference on General Relativity Madison, Wisconsin. (February 1983, p. 206) and Gravitation, Padova, Italy. 20-21. Fifth Nestor M. Riviere Memorial Lecture, Univer­ Information: Intern. Soc. Gen. Rei. and Grav., G.R.G., sity of Minnesota, Minneapolis, Minnesota. (February cfo Institute of Theoretical Physics, 5 Sidlerstrasse, 1983, p. 206) CH-3012 Berne, Switzerland.

434 6-8. 1983 National Educational Computing Conference 27-29. Symposium on Programming Language Issues in (NECC 83), Baltimore Convention Center, Baltimore, Software Systems, San Francisco, California. (April 1983, Maryland. (January 1983, p. 78; February 1983, p. 207) p. 362) 6-8. SIAM 1983 National Meeting, Denver Marriott Hotel­ 27-29. ACM IEEE Twentieth Design Automation Con­ City Center, Denver, Colorado. (January 1983, p. 78) ference, Miami Beach, Florida. (October 1982, p. 590) 6-8. Sixth Annual Meeting of the Statistical Society 27-29. SIAM Symposium on the Applications of Discrete of Canada, University of British Columbia, Vancouver, Mathematics, Massachusetts Institute of Technology, British Columbia. Cambridge, Massachusetts. (October 1982, p. 590) Invited Speakers: M. Wilk, E. Parzen, P. Huber, J. 27-July 1. NSF-CBMS Regional Conference in Mathe­ Friedman, R. Pyke, D. L. McLeish, J. N. K. Rao, M. matics: Intersection Theory in Algebraic Geometry, George Csorgo. Mason University, Fairfax, Virginia. Information: N. Reid, Department of Mathematics, Principal Speaker: William Fulton. University of British Columbia, 121-1984 Math. Road, Vancouver, British Columbia V6T 1Y4. Program: Professor Fulton will present a series of ten lectures introducing the recent and dramatic 6-16. Eighth International Conference on Operator developments in intersection theory and algebraic Theory, Timisoara, Romania. (February 1983, p. 207) geometry. There will also be talks by conference 7-16. International Conference on Multifunction• and participants on topics related to the conference theme. Integrands: Stochastic Analysis, Approximation and Support: The National Science Foundation will provide Optimization, University of Catania, Italy. (February travel and living expenses for 25 participants. Some 1983, p. 207) additional participants will be invited to attend at their 7-July 5. Analyse de Regression: Ecole d'Ete du CIMPA, own expense. Nice, France. Instructions for Applicants: Applicants for support should include a short resume with emphasis on current research Information: 1 av. Edith Cavell, F-06000 Nice. and publications. Those wishing to present a paper 9-11. Utah State University Conference on Matrix Theory should submit a brief abstract. Applications should be and Applications, Utah State University, Logan, Utah. sent to the address below. (February 1983, p. 207) Information: Robert Ephraim, Department of Mathematics, 9-12. Conference on the Geometry of Normed Spaces, George Mason University, Fairfax, Virginia 22030. University of Illinois Conference Center, Allerton Park, 27-July 13. Ecole d'Ete d'Analyse Numerique, Clamart, Illinois. (February 1983, p. 207) France. (April 1983, p. 362) 13-16. Tenth International Symposium on Computer 27-July 15. Seminaire de Math

435 6-9. Jack Kiefer-Jacob Wolfowitz Memorial Statistical 25-29. NSF-CBMS Regional Conference in Mathematics Researeh Conference, Cornell University, Ithaca, New on Iterated Rational Mappings, University of Minnesota, York. Duluth, Minnesota. Information: George Casella, Biometrics Units, 337 Warren Principal Lecturer: William P. Thurston (Princeton Univer­ Hall, Cornell University, Ithaca, New York 14853, sity). 607-256-5488. Support: Some NSF support is available for a limited number of participants. 6-22. Conference on Particles and Fields, Cargese, France. Information: Mark Luker, Department of Mathematical Information: M. Levy, Lab. Phys. Theor., Tour 16, Sciences, University of Minnesota-Duluth, Duluth, Universite Pierre & .Marie Curie, Paris V, France. Minnesota 55812, 218-726-8240. 10-16. International Conference on Quasigroups and their 25-29. Sixth International Symposium on Multivariate Applications, Universita Cattolica del Sacro Cuore, Milano, Analysis, University of Pittsburgh, Pittsburgh, Pennsyl­ Italy. (February 1983, p. 208) vania. (October 1982, p. 590; February 1983, p. 208) 10-16. Jourmies Arithmetiques 1983, Noordwijkerhout, 25-29. Eleventh Conference on System Modelling & The Netherlands. (November 1982, p. 700) Optimioation, Kfllbenhavn, Denmark. 11-15. 'lEX Users Group Meeting and Introductory 'JEX82 Information: P. Thoft-Christensen, Aalborg, Denmark. Users Course, Stanford University, Palo Alto, California. 25-August 2. Seminar on the History of Mathematics, (February 1983, p. 208) , Toronto, Canada. (February 1983, 11-15. Twelfth Conference on Stochastic Processes and p. 208) their Applications, Cornell University, Ithaca, New York. Speakers: J. L. Berggren (Simon Fraser University); Joseph (February 1983, p. 208) Dauben (CUNY); Stillman Drake (University of Toronto); I. Grattan-Guinness (Middlesex Polytechnic); Barnabas 11-15. Symposium on Large Seale Systems Theory and Hughes (California State University); Charles V. Jones Applications, Warsaw, Poland. (January 1983, p. 79) (University of Toronto); C. J. Scriba (Chairman, 11-15. Twelfth Conference on Stochastic Processes and International Commission on History of Mathematics). their Applications, Cornell University, Ithaca, New York. 31-August 6. Seventh International Conference on Near­ (November 1982, p. 700) Rings and Near-Fields, James Madison University, Har­ 11-15. Ninth British Combinatorial Conference, University risonburg, Virginia. (January 1983, p. 80) of Southampton, England. (October 1982, p. 590) 11-16. Seventh International Congress of Logie, Methodol­ AUGUST 1983 ogy and Philosophy of Science, Salzburg, Austria. (October 1982, p. 590; February 1983, p. 208)) **1-5. NSF-CBMS Regional Conference on Quasitrian­ gularity and Analyticity in Operator Algebras, Texas Tech 11-22. Quadratic Forma and Hermitian K-theory, University, Lubbock, Texas. (April 1983, p. 363)**These McMaster University, Hamilton, Canada. (January 1983, dates have been changed from those originally an­ p. 79) nounced.** 11-22. L.M.S.fS.E.R.C. Durham Symposium in Potential 1-5. CBMS Regional Conference on Yang-Mills Theory and Theory, University of Durham and Grey College, Durham, the Topology of Four-Manifolds, University of California, United Kingdom. (October 1982, p. 590) Santa Barbara, Santa Barbara, California. (April 1983, 12-14. Third Scandinavian Conference on Image Analysis, p. 363) Kf1)benhavn, Denmark. 1-10. Seventh International Congress on Mathematical Information: Peter Johansen, Inst. Comp. Sc., 41 Physics, University of Colorado, Boulder, Colorado. Sigurdsgade, University of Kf1)benhavn, Kf1)benhavn, (February 1983, p. 209) Denmark. 1-12. NATO Advanced Study Institute on Methods in 12-15. International Conference on the Teaching of Math­ Ring Theory, Antwerp, Belgium. (April 1983, p. 363) ematical Modelling, Exeter University, Exeter, England. 1-12. Workshop and Conference in Algebraic Topol­ (October 1982, p. 590) ogy, Memorial University, Saint John's, Newfoundland. 18-20. ORSA/TIMS Special Interest Meeting on Applied (November 1982, p. 701) Probability in Biology & Engineering, University of In'Vited Speakers: J. F. Adams (Cambridge), W. Browder Kentucky, Lexington, Kentucky. (Princeton), A. Dold (Heidelberg), B. Eckmann (ETH, Information: Professor J. Gani, Department of Statistics, Zurich), R. Kane (Western Ontario), I. Madsen (Aarhus), University of Kentucky, Lexington, Kentucky 40506, J. Peter May (Chicago), J. Neisendorfer (Ohio State), 606-257-6901. J. Roitberg (CUNY), U. Stammbach (ETH, Zurich), T. tom Dieck (Gottingen), A. K. Bousfield (Chicago Circle), 18-22. Tenth International Colloquium on Automata F. R. Cohen (Kentucky), W. Dwyer (Notre Dame), S. Languages and Programming, Barcelona, Spain. (April Halperin (Toronto), K. Y. Lam (u. B. c.), M. Mahowald 1983, p. 362) (Northwestern), G. Mislin (ETH, Zurich), S. B. Priddy 18-22. International Conference on Mathematics in Biology (Northwestern), V. Snaith (Western Ontario), J. Stasheff and Medicine, Bari, Italy. (October 1982, p. 590) (North Carolina), K. Varadarajan (Calgary). Information: Conference Secretary, Department of Mathe­ 18-23. Logie Colloquium '83, Technische Hochschule matics and Statistics, Memorial University, St. John's, Aachen, Aachen, Federal Republic of Germany. (February Newfoundland, Canada, AlB 3X7. 1983, p. 208) 8-11. International Conference on Numerical Methods in 18-29. Ecole d'Ete d'lnformatique, Clamart, France. (April Laminar and Turbulent Flow, , Washington. (April 1983, p. 362) 1983, p. 363) 18-August 12. Workshop on Latin Squares: Their 8-12. International Joint Conference on Artificial Intel­ Construction and Application, Simon Fraser University, ligence, Karlsruhe, Federal Republic of Germany. (April British Columbia, Canada. (February 1983, p. 208) 1983, p. 363) 19-22. Sixth European Congress on Operational Researeh 9-13. Colloquium on Topology, Eger, Hungary. (February (EURO VI), Vienna, Austria. (February 1983, p. 208) 1983, p. 209; April 1983, p. 363)

436 11-14. Eighth International Time Series Meeting, Toronto, Information: The Seminar Secretary, The First Tampere Canada. (April 1983, p. 363) Seminar on Linear Statistical Models and their Applica­ Sciences, Statistics, 15-17. Symposium on Numerieal Analysis and Computa­ tions, Department of Mathematical tional Complex Analysis, Swiss Federal Institute of Tech­ Huone C123, University of Tampere, P.O. Box 607, SF-33101 Tampere 10, Finland. nology (ETH), Ziirich, Switzerland. (April 1983, p. 363) 30-September 2. Second International Conference on 15-17. Fourth International Conference on Mathematical Databases, Cambridge, Great Britain. Modelling, Ziirich, Switzerland. (October 1982, p. 591) Information: S. M. Deen, Conference Chairman, Depart­ 16-24. International Congress of Mathematicians, Warsaw, ment of Computer Science, University of Aberdeen, Poland. (February 1983, pp. 150, 209) Aberdeen, Scotland, AB9 2UB. 21-24. "CRYPTO 83", University of California, Santa 30-September 8. International Conference on Singularities Barbara, California. & Dynamical Systems, Crete, Greece. (Apri11983, p. 363) Program: A workshop on the theory and application of 31-September 14. Statistical Extremes and Applications, cryptographic techniques. Vimeiro, Portugal. Deadline for Abstracts: May 15, 1983. Send 7 copies to N. Information: J. Tiago de Oliveira, Fac. Ciencias, Dept. J. A. Sloane, Room 2C-376, Bell Laboratories, Murray Estatist., 58 rua Escola Politecnica, P-1298, Lisboa, Hill, New Jersey 07974. Portugal. Information: CRYPTO 83, Computer Science Department, University of California, Santa Barbara, California SEPTEMBER 1983 93106. 4-10. XVI Biennial Fluid Dynamics Symposium, Warsaw, 21-27. International Conference on Foundations of Com­ Poland. putation Theory, Linki:iping, Sweden. (February 1983, p. 209) Information: W. Fiszdon, Inst. of Fund. Techn. Res., Dept. of Mech., Polish Academy of Sciences, 21 Swietokrzyska, Invited Speakers: (Tentative.) Stephen A. Cook (Toronto), Warszawa, Poland. David Hare! (Rehovot), Per Martin-Li:if (Stockholm), Hendrik W. Lenstra, Jr. (Amsterdam), Gordon D. 5-10. Twelfth International Colloquium on Group Plotkin (Cambridge, Mass.), Dana S. Scott (Pittsburgh). Theoretical Methods in Physics, Miramare-Trieste, Italy. Information: Intern. Centre for Theor. Phys., VII Intern. 22-26. Seventh International Conference on Structural Coil., P. 0. Box 586, 1-34100 Trieste, Italy. Mechanics in Reactor Technology, Marriott Hotel, Chicago, Illinois. (October 1982, p. 591) 6-10. Second International Meeting on Bayesian Statistical Methods, Valencia, Spain. University, Szeged, 22-26. Universal Algebra, J6zsef Attila Information: J. M. Bernardo, Department of Biostatistics, Hungary. (October 1982, p. 591) ave. Blasco Ibanez 17, Valencia-10, Spain. 22-27. Tenth International Congress on Cybernetics, 21-23. George D. Aiken Lecture Series: Technical Sym­ Namur, Belgium. (October 1982, p.591) posium on Acid Rain Transport and Transformation 24-30. Fifth International Congress on Mathematics Phenomenon, University of Vermont, Burlington, Vermont. Education, Adelaide, Australia. (February 1983, p. 209) Information: Box 1729, Adelaide 5000, Australia. 23-24. Eleventh Annual Mathematics and Statistics 26-29. Polish Symposium on Interval and Fuzzy Mathe­ Conference, Miami University, Oxford, Ohio. (April 1983, matics, Poznan, Poland. (February 1983, p. 209) p. 363) of Pi Mu Epsilon Annual 26-30. Colloqnium on Universal Algebra, Szeged,Hungary. 23-24. Ohio Delta Chapter Student Conference, Miami University, Oxford, Ohio. Information: A. Szendrei, Bolyai Institute, 1 Aradi (April 1983, p. 363) Vertonuk, H-6720, Szeged, Hungary. 25-0ctober 2. International Conference on Operator 26-31. Conference on Combinatorial Groups, Busan Algebras, Ideals and their Applications in Theoretical National University, Busan, Korea. (November 1982, Physics, Naturwissenschaftlich-Theoretischen Zentrum, p. 701) Karl Marx University, Leipzig, German Democratic 29-31. Conference to Honor the Sixtieth Birthday of J. Republic. (January 1983, p. 80) B. Keller, Northwestern University, Evanston, illinois. 26-30. Second International Meeting on Statistical (February 1983, p. 209) Climatology, Lisbon, Portugal. 29-September 6. Conference on Operator Algebras, Information: A. H. Murphy, Oregon State University, Connections with Topology and Ergodic Theory, Busteni, Corvallis, Oregon 97331. Romania. Information: Department of Mathematics, INCREST, Bd. OCTOBER 1983 Pacii 220, R-79622, Bucharest, Romania. 4-5. The Twenty-second Annual Army Operations Re­ 29-September 10. Progress in Gauge Field Theory, search Symposium, US Army Logistics Management Cen­ Cargese, France. ter, Ft. Lee, Virginia. Information: H. Lehmann, Inst. Th. Phys., 149 Luruperch, Theme: The theme of the symposium will be integration Hamburg, Federal Republic of Germany. of modeling and simulation with testing to efficiently 30-September 2. The First International Tampere Semi­ resource the acquisition process. nar on Linear Statistical Models and their Applications, Sponsor: The US Army Operational Test and Evaluation Department of Mathematical Sciences, Statistics, Univer­ Agency (USAOTEA). sity of Tampere, Tampere, Finland. Information: Commander, US Army Operational Test Program: There will be lectures by C. Radhakrishna Rao, and Evaluation Agency, Attn: CSTE-STD(AORS), 5600 University of Pittsburgh, U.S.A., and George P. H. Columbia Pike, Falls Church, Virginia 22041, 202-756- Styan, McGill University, Canada. 2416/2446. Speakers: (Tentative.) J. K. Baksalary, Academy of 10-14. ICMI-JSME Regional Conference on Mathematical Agriculture, Poznan, Poland; J. Fellman, Swedish Education, Tokyo, Japan. School of Economics, Helsinki, Finland; H. Niemi, Information: T. Sawada, Conference Secretary, National University of Helsinki, Helsinki, Finland. Institute for Educational Research, 5-22 Shimomeguro Deadline for Abstracts: May 31st, 1983. 6-Chome, Meguro-ku, Tokyo 153, Japan.

437 11-13. Conference on Phase Transfonnations and Material Ronald L. Graham (Bell Laboratories), Frank Harary Instabilities in Solids, The Mathematics Research Center, (University of Michigan), Stephen T. Hedetniemi University of Wisconsin, Madison, Wisconsin. {Clemson University), Richard M. Karp (University Invited Speakers: John Ball, Jerald Ericksen, Joseph of California), {IBM Research Laboratory), Flaherty, Morton Gurtin, John Hutchinson, Richard Eugene L. Lawler (University of California), Fred James, James Knowles, James Langer, James Serrin, Roberts {Rutgers University), Robert E. Tarjan {Bell and Marshall Slemrod. Laboratories), Carsten Thomassen (Technical University Information: Mrs. Gladys Moran, Conference Secretary, of Denmark), Herbert S. Wilf (University of Pennsyl­ Mathematics Research Center, University of Wisconsin, vania), Robin J. Wilson {Open University of England). 610 Walnut Street, Madison, Wisconsin 53705. Program: There will be approximately 35 additional invited speakers. There is limited space for contributed talks. 24--26. 1983 Annual Conference of Association for Information: Directors, Graph Theory Conference, Depart­ Computing Machinery, Sheraton Centre Hotel, New York, ment of Mathematics, Western Michigan University, New York. (February 1983, p. 210) Kalamazoo, Michigan 49008. 24--27. Seventh Symposium on Computer Applications in Medical Care, Baltimore, Maryland. AUGUST 1984 Information: George Washington University Medical Cen- ter, Washington, D.C. 20052. August 1984. Fifth International Congress on Mathematics 24--29. International Conference on Mathematical Methods Education, University of Adelaide, Australia. (June 1982, in Operations Research, Sofia, Bulgaria. pp. 331, 376) Topics: Theory of optimization problems; numerical methods for solving optimization problems; applications and program packages. Deadline for Abstracts: 1 page in camera ready form should LATE ENTRY be sent not later than June 1, 1983 to the address below. June 13-17. Short Course in Algorithms and Complexity, Information: A. L. Dontchev, Institute of Mathematics, University of Maine at Orono. 1090 Sofia, P.O. Box 373, Bulgaria. Speaker: Herbert S. Wilf, University of Pennsylvania. Information: Grattan Murphy, Department of Mathematics, NOVEMBER 1983 University of Maine at Orono, Orono, Maine 04469.

1-9. Sixth International Summer School on Problems of Model Choice & Parameter Estimation in Regression Analysis, Sellin, German Democratic Republic. Information: R. Bellach, Humboldt-University Sekt. Math., DDR-1086, Berlin, PSF 1297. 7-9. Twenty-fourth Annual IEEE Symposium on Founda­ tions of Computer Science, Tucson Marriott Hotel, Tucson, ADDITIONAL CLASSIFIED ADVERTISING Arizona. {February 1983, p. 210) (See also pages 464 and 465.) 7-11. Society for Industrial and Applied Mathematics 1983 Fall Meeting, Norfolk, Virginia. {April 1983, p. 364) 10-13. American Mathematical Association of Two-Year POSITIONS AVAILABLE Colleges Annual Convention, Court of Flags Hotel, Orlando, Florida. (February 1983, p. 210) ASSOCIATE EDITOR-MATHEMATICS-Springer-Verlag New York, Inc. is seeking an Associate Editor, Mathematics. 16-18. Eighth Conference on Probability & Statistics in Requirements include an undergraduate degree and some the Atmospheric Sciences, Hot Springs, Arkansas. graduate work in mathematics and a solid foundation in Information: R. W. Katz, Department of Atmospheric research-oriented mathematics. Experience in publishing or Sciences, Oregon State University, Corvallis, Oregon teaching is desirable but not required. Send resume to Helen 97331. Salinger, Springer-Verlag New York, Inc., 175 Fifth Avenue, 24--27. International Congress on Computational and New York, N. Y. 10010. We are an affirmative action/equal Applied Mathematics, University of Leuven, Belgium. opportunity employer. {February 1983, p. 210) THE AUSTRALIAN NATIONAL UNIVERSITY invites applications for POSTDOCTORAL FELLOWSHIP/RE­ DECEMBER 1983 SEARCH FELLOWSHIP in the DEPARTMENT OF MATH­ EMATICS, RESEARCH SCHOOL OF PHYSICAL SCIENCES 5-7. Second Latin American Conference on Applied (Head: Professor D. W. Robinson, FAA). Preference will be Mathematics, Laboratorio de Computa~ao Cientffica given to applicants in one of the following fields: F unc­ LCC/CNPq, Rio de Janeiro, Brazil. (April1983, p. 364) tional Analysis, Mathematical Physics, Partial Differential 5-16. Workshop on Pattern Recognition and Analysis of Equations, Differential Geometry and Lie Groups. Salary in Seismicity, Miramare-Trieste, Italy. accordance with qualifications and experience within the Information: International Centre for Theoretical Physics, ranges: Research Fellow $22,430-$29,467 p.a.; Postdoctoral Workshop on Pattern Recognition, P. 0. Box 586, Fellow Grade 1 $19,333-$22,148 p.a. Current exchange I-34100, Trieste, Italy. rates: $A1 = $US0.87 = UK56P. Appointment will be: Research Fellow for up to 3 years in the first instance with the possibility of extension to 5 years; Postdoctoral Fell ow JUNE 1984 for 2 years. Grants are provided towards travel and removal; 4-8. Fifth International Conference on the Theory assistance with housing; superannuation. The University reserves the right not to make an appointment or to make and Applications of Graphs, With Special Emphasis on Computer Science Applications, Western Michigan an appointment by invitation at any time. Applicants may obtain further particulars from The Registrar, The Austra­ University, Kalamazoo, Michigan. lian National University, G. P.O. Box 4, Canberra, Australia, Principal Speakers: Lawrence Druffel {Department of with whom applications close on 31 JULY 1983. Defense), Paul Erdos {Hungarian Academy of Sciences),

438 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. Reciprocally, 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 $20 for 1983. Each organization was asked to review and update its listing in the Spring of 1983. An asterisk ( *) after the name of an organization indicates that no response to this request had been received when the June Notices 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. Africa Dues: $7 (Rupees 25/-); payable to K. M. Saxena, Hon. Treasurer, IMS, Department of Mathematics, • Nigerian Mathematical Society Ranchi University, Ranchi, India. Apply to: Christopher 0. Imoru (Secretary), Nigerian Privileges: Journal of Indian Mathematical Society Mathematical Society, Department of Mathematics, or Mathematics Student. University of Ife, Ile-Ife, Nigeria. Dues: $10; payable to the Treasurer, Nigerian Officers: R. S. Mishra (President), T. Ramesan Mathematical Society, Department of Mathematics, (Secretary), K. M. Saxena (Treasurer), S. R. University of Benin, Benin City, Nigeria. Sinha (Academic Secretary), K. G. Ramanathan Privileges: Journal of the Nigerian Mathematical (Editor of Journal of Indian Mathematical Society), Society at the price normally charged to individual N. Sankaran (Editor of Mathematics Student). members. Officers: A. Olubummo (President), J. 0. C. Ezeilo • Korean Mathematical Society Nwachuku (Treasurer), (Vice President), C. 0. Apply to: SaGe Lee, Korean Mathematical Society, C. 0. M. Imoru (Secretary), S. A. !Iori (Assistant College of Natural Secretary), H. 0. Tejumola (Editor-in-Chief). Department of Mathematics, Sciences, Seoul National University, Seoul151, Korea. Dues: W6,500 (us $10); payable to Korean Mathe­ Asia matical Society. •Allahabad Mathematical Society* Privileges: Free receipt of Bulletin (two issues per Apply to: S. R. Sinha, Secretary, Allahabad year) and Journal of the Korean Mathematical Mathematical Society, 5, C. Y. Chintamani Road, Society (two issues per year). Allahabad-211002, India. Officers: Sehie Park (President), Tae Geun Cho (Vice Dues: US $12.50 (annual), US $125 (life); payable to K. K. Azad, Treasurer. President), Pyung-U Park (Treasurer), Sa Ge Lee Privileges: Indian Journal of Mathematics (three (Secretary). issues per year); back volumes available at 25% • Mathematical Society of Japan discount. 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, Bunkyo-ku, Tokyo 113, Japan. S. R. Sinha (Secretary), S. N. Bhatt (Editor), V. Dues: US $20 (for 1983); each member will be Singh (Librarian). informed how to pay the dues after joining the Calcutta Mathematical Society* Society. Apply to: M. Dutta, Secretary, Calcutta Mathemat­ Privileges: Journal of the Mathematical Society of ical Society, 92, Acharya Prafulla Chandra Road, Japan; Sugaku (in Japanese) for $4 additional dues. Calcutta 700 009, India. Officers: Hiroshi Fujita (President). Dues: $2; admission fee $1; payable to M. Dutta, Secretary. • Mathematical Society Privileges: Bulletin, News Bulletin. of the Republic of China Officers: P. C. Vaidya (President), F. Harary, N. D. Sengupta, Shih I. Pai, B. R. Bhonsle, M. C. Chaki Apply to: Mathematical Society of the Republic of (Vice Presidents), S. K. Chatterjea (Treasurer), M. China, P.O. Box 23-3, Taipei, Taiwan, Republic of Dutta (Secretary). China. • Indian Mathematical Society Dues: N.T. $200 (us $5.00); payable to Mathematical Society of the Republic of China. Apply to: T. Ramesan, Hon. Secretary, Indian Math­ ematical Society, John Armstrong Road, Richards Privileges: Chinese Journal of Mathematics (two Town, Bangalore 560005, India. to four issues per year).

439 Officers: Hang-Chin Lai (President), Wei-Zhe Yang Officers: Miguel de Guzman, (President), Ireneo Peral (Treasurer), Ming-Po Chen (Secretary). (Treasurer), Maria T. Carrillo (Secretary). • Punjab Mathematical Society* Berliner Mathematische Gesellschaft e.V. * Apply to: Abdul Majeed, Secretary, Punjab Mathe­ Apply to: D. Kruger, FB 3, Sekr. H 65 TU Berlin, matical Society, c/o Department of Mathematics, Strasse des 17. Juni 135, 1000 Berlin 12, Federal Punjab University, New Campus, Lahore (Pakistan). Republic of Germany. Dues: Rupees 15/- per year or Rs. 150/- for life. Dues: DM 12; payable to G. Preuss, Institut fiir (us $1.50 per year or US $15.00 for life); payable to Mathematik I, FU Berlin Hiittenweg 9, 1 Berlin 33, Abdul Majeed, Secretary. Federal Republic of Germany. Privileges: Society News, Punjab University Jour­ Officers: Rudolf Gorenflo (President), Hansgeorg nal of Mathematics, Proceedings of the Conferences, Jeggle (Vice President), G. Preuss (Treasurer), D. Symposia and Seminars arranged by the Society. Kriiger (Secretary). Officers: B. A. Saleemi (President), Masud A. Malik, Rashid Hayat (Vice Presidents), Khalifa Rashid ud­ Dansk Matematisk Forening Din (Treasurer), Abdul Majeed (Secretary). Apply to: Mogens Esrom Larsen, Secretary, Dansk Southeast Asian Mathematical Society Matematisk Forening, Universitetsparken 5, 2100 Kfl)benhavn 0, Denmark. Apply to: Mark Tamthai, Southeast Asian Mathe­ Dues: Dkr. 25; payable to Christian Berg, Treasurer. matical Society, c/o Department of Mathematics, Chulalongkorn University, Bangkok 10500, Thailand. Privileges: Mathematica Scandinavica (D.kr. 97,50 per volume), Nord. Mat. Tidss. (Normat) (N.kr.63 Dues: US $5; payable to Southeast Asian Mathemati­ per volume). (Members of the American Mathemati­ cal Society. cal Society do nc;t have to join Dansk Matematisk Privileges: SEAMS Newsletter, Southeast Asian Forening to obtain the journals. Subscription orders Bulletin of Mathematics. should be sent directly to the journals: Normat, Officers: Virool Boonyasombat (President), Jose Universitetsforlaget, Avd. for tidsskrifter, Postbox Marasigan, S. Nababan (Vice Presidents), Suwon 2959 Tfl)yen, Oslo 6, Norway; Mathematica Scan­ Tangmanee (Treasurer), Mark Tamthai (Secretary). dinavica, Matematisk Institut, Aarhus Universitet, • Vijnana Parishad of India 8000 Aarhus C, Denmark.) Officers: Mogens Flensted-Jensen (Presiden~), Apply to: H. M. Srivastava, Foreign Secretary, VPI, Department of Mathematics, University of Victoria, Mogens Esrom Larsen (Vice President), Christian Victoria, British Columbia, Canada, V8W 2Y2 or Berg (Treasurer), Mogens Esrom Larsen (Secretary), R. C. Singh Chandel, Secretary, VPI, Department Ebbe Thue Poulsen, Bodil Branner. of Mathematics, D. V. Postgraduate College, Orai- •Deutsche Mathematiker-Vereinigung e.V. 285001, U. P., India. Apply to: Geschaftsstelle der DMV, Albertstrasse 24, Dues: US $7.50 (annual), US $75 (life); payable to 7800 Freiburg, Federal Republic of Germany. Vijnana Parishad, c/o Department of Mathematics, D. V. Postgraduate College, Orai-285001, U. P., Dues: DM 30.- (for reciprocity members); payable India. to Kreissparkasse, Tiibingen 16269 (BLZ 641 500 Privileges: Jnlinlibha (an interdisciplinary mathe­ 00), Federal Republic of Germany or Postscheckamt: matical journal currently published once a year); Stuttgart 18517-706 (BLZ 600 100 70), Federal back volumes available at 25% discount. Republic of Germany. Officers: H. M. Srivastava (Foreign Secretary and Privileges: Mitteilungen der Deutschen Mathe­ Editor), R. C. Singh Chandel (Treasurer-Secretary matiker-Vereinigung (four issues a year), Jahres­ and Managing Editor), J. N. Kapur (Chief Advisor). bericht der Deutschen Mathematiker- Vereinigung (four issues a year). Europe Officers: H. Werner (President), K. P. Grotemeyer (Treasurer), R. Wallisser (Secretary). Asoeiaeion Matematiea Espanola* Edinburgh Mathematical Society Apply to: Miguel de Guzman, President, Asociaci6n Matematica Espanola, Facultad de Matematicas, Apply to: The Honorary Secretary, Edinburgh Math­ Universidad Complutense, Madrid 3, Spain. ematical Society, James Clerk Maxwell Building, Dues: US $15 for members of the American Mathe­ King's Buildings, Mayfield Road, Edinburgh, EH9 matical Society; payable to Asociaci6n Matematica 3JZ, Scotland. Espanola. Dues: $8 (preferably £3 sterling); payable to the Privileges: Boletin de la Asociaci6n Matematica Honorary Treasurer. Espanola; Publicaciones de la Asociaci6n Mate­ Privileges: Proceedings at reduced rate of $14 matica Espanola (at reduced prices). (preferably £5 sterling) per annum.

440 Officers: A. G. Mackie (President), I. T. Adamson Dues: N.kr.10; payable to Gerd Salter, Norsk (Vice President), A. C. McBride (Treasurer), T. A. Matematisk Forening. Gillespie, J. Martin (Secretaries). Privileges: Reduced subscription rate on NORMAT (formerly Nordisk Matematisk Tidsskrijt). • Gesellschaft fUr Angewandte Mathematik Officers: Erling Stormer (President), Ragni Piene und Mechanik* (Vice President), Dag Normann (Treasurer), Gunnar Apply to: J. Zierep, Schatzmeister der GAMM, Olsen (Secretary). Institut fiir Stri:imungslehre der Universitat Karlsruhe, Kaiserstr. 12, D-7500 Karlsruhe, Federal Republic of Osterreichische Mathematische Gesellschaft Germany. Apply to: Curt C. Christian, President, Osterreich­ Dues: DM 30.-; payable to J. Zierep, [Bank: Deutsche ische Mathematische Gesellschaft, Technische Bank Karlsruhe, BLZ 660 700 04, Kto. 03/65585 01, Universitat Wien, Karlsplatz 13, A-1040 Wien, (Sonderkonto GAMM).] Austria. Privileges: Regular publications of GAMM and J?ues: AS 130; payable to Inge Troch, Treasurer, participation in scientific meetings at a reduced rate. Osterreichische Mathematische Gesellschaft, Tech­ Officers: K. Kirchgassner (President), P. Henrici nische Universitat Wien, Karlsplatz 13, A-1040 Wien, (Vice President), J. Zierep (Treasurer), B. Brosowski Austria. (Secretary). Privileges: Internationale Mathematische Nach­ richten (IMN). Glasgow Mathematical Association Officers: Curt C. Christian (President), Peter M. Apply to: R. J. Steiner, Department of Mathematics, Gruber (Vice President), Inge Troch (Treasurer), University of Glasgow, 15 University Gardens, Hans Ch. Reichel (Secretary), Ludwig Reich (Editor Glasgow G12 8QW, Scotland. of IMN). Dues: £12.50 (us $25); payable to Glasgow Mathe­ matical Association. • Polskie Towarzystwo Matematyczne Privileges: Glasgow Mathematical Journal. Apply to: Polskie Towarzystwo Matematyczne, Officers: I. S. Murphy (President), G. McKaig, Sniadeckich 8, 00-950 Warszawa, Poland. D. T. C. Penny (Vice Presidents), R. J. Steiner Dues: $8; payable to Polskie Towarzystwo Mate­ (Treasurer), Mrs. E. Fulton (Secretary). matyczne. Privileges: Participation in scientific conferences or­ islenzka Strerdfrredafelagid ganized by the Polish Mathematical Society and in its scientific sessions; in addition, members receive Apply to: Islenzka Strerdfrredafelagid, Raunvisin­ one of the following five series of the publication dastofnun Hask61ans, Dunhaga 3, Reykjavik, Iceland. Annales Societatis Mathematicae Polonae: Com­ Dues: $10; payable to Islenzka Strerdfrredafelagid. mentationes Mathematicae in congress languages, Officers: Kjartan G. Magnusson (President), Jon Wiadomosci Matematyczne (Mathematical News) Magnusson (Treasurer), Reynir Axelsson (Secretary). in Polish, Matematyka Stosowana (Applied Mathe­ matics) in Polish, Fundamenta Informaticae in con­ London Mathematical Society gress languages, Dydaktyka Matematyki (Didactics Apply to: London Mathematical Society, Burlington of Mathematics) in Polish. House, Piccadilly, London W1 V ONL, United King­ Officers: Zbigniew Ciesielski (President), Andrzej dom. Lasota, Andrzej Schinzel (Vice Presidents), Jerzy Dues: $6.25 (until November 1983); payable to Zabczyk (Secretary), Maciej Brynski (Vice Secretary), London Mathematical Society. [New members should Andrzej M~kowski (Treasurer). not send payment until elected.] Privileges: LMS Newsletter. Reduced rates for Real Sociedad Matematica Espanola* the Bulletin, Journal, and Proceedings of the Apply to: J. Llovet, Secretario de Ia Real Sociedad LMS; Journal of Applied Probability; Math­ Matematica Espanola, Serrano 123, Madrid 6, Spain. ematika; Mathematical Proceedings of the Cam­ Dues: $15; payable to Secretario. bridge Philosophical Society; Quarterly Journal Privileges: Revista Matematica Hispano- of Mathematics; LMS Lecture Notes; LMS Mono­ Americana, Gaceta Matematica. graphs. (Please write to the LMS for complete Officers: Jose Javier Etayo (President), Juan Llovet details.) Verdugo (Secretary). Officers: P. M. Cohn (President), W. K. Hayman, I. G. MacDonald (Vice Presidents), R. L. E. Schwar­ Sociedade Portuguesa de Matematica zenberger (Treasurer), R. A. Bailey, P. R. Goodey Apply to: J. A. Dias da Silva, Sociedade Portuguesa (Secretaries), J. S. Pym (Publications Secretary). de Matematica, Av. da Republica 37 4°, 1000 Lisboa, Portugal. Norsk Matematisk Forening Dues: $5; payable to Maria da Gra~a Lopa. Apply to: Gerd Salter, Norsk Matematisk Forening, Privileges: Boletim da Sociedade Portuguesa de Matematisk Institutt, Postboks 1053 Blindern, Oslo Matematica, free; discount of 50% in the subscription 3, Norway. fees for Portugaliae Matematica.

441 Officers: AntOnio St'Aubyn (President}, J. A. Dias Officers: A. Robert, Universite de Neuchatel (Presi­ da Silva (Vice President}, Maria da Gr~a Lopo dent); H. Carnal, Universitat Bern (Vice President}; (Treasurer). Sristhi Dhar Chatterji, EPF Lausanne (Secretary­ Soeietat Catalana de Cieneies Fisiques, Treasurer). Quimiques i Matematiques Suomen Matemaattinen Yhdistys - Seeeio de Matematiques Apply to: Pertti Mattila, Secretary, Department of Apply to: Secretary de Ia Secci6 de Matematiques de Mathematics, University of Helsinki, Hallituskatu 15, Ia S.C.C.F .Q.M., Carrer del Carme, 47-Barcelona-1, SF-00100 Helsinki 10, Finland. Spain. Dues: 65 FMk (32.5 FMk for AMS members}; payable Dues: 500 pesetas for members of the AMS, payable to Aatos Lahtinen, Treasurer, Suomen Matemaat­ to Secretary de Ia Secci6 de Matematiques. tinen Yhdistys, Department of Mathematics, Hal­ Privileges: Butlleti de la Societat Catalana de lituskatu 15, SF-00100 Helsinki 10, Finland. Ciencies Fisiques, Quimiques i Matematiques (two vols. per year}, Butlletl de Ia Secci6 de Matematiques Privileges: Arkhimedes. (four vols. per year). Officers: Olli Lehto (President}, Olli Martio (Vice Oflicen: Julia Cuff (President}, Carles Perell6 President}, Aatos Lahtinen (Treasurer}, Pertti Mattila (Secretary), Josep Lluls Soler (Associated Secretary). (Secretary). Soeiete Matbematique de Belgique* Svenska Matematikersmnfundet Apply to: Guy Hirsch, Secretary, Societe Mathema­ Apply to: Svenska Matematikersamfundet, Matema­ tique de Belgique, 317, Avenue Charles Woeste, 1090 tiska Institutionen, Stockholms Universitet, Box 6701, Brussels, Belgium. S-11385 Stockholm, Sweden. Dues: $13; payable to Societe Mathematique de Belgique, preferably by International Money Order. Dues: 30 S.Kr., or 450 S.Kr. for permanent member­ Privileges: Bulletin de la Societe Mathimatique ship; payable to Svenska Matematikersamfundet. de Belgique, Series A (two numbers per year) and Privileges: Mathematica Scandinavica and Nordisk Series B (two numbers per, year}, about 450 pages a Matematisk Tidskrift at reduced rate. Information year. about the meetings of the Society. Oflicen: J. Paris (President}, R. Delanghe (Vice Presi­ Oflicen: Lars lnge Hedberg (President}, Bjorn dent}, J. Depunt (Treasurer}, G. Hirsch (Secretary). Dahlberg (Vice President}, Jesper Oppelstrup • Soeiete Matbematique de Franee (Treasurer}, Ingegerd Palmer (Secretary). Address for mail: Societe Mathematique de France, • Unione Matematiea Italiana* B.P. 126-05, 75226 Paris, Cedex 05, France. Apply to: American Mathematical Society, P.O. Box Apply to: Segretaria della Unione Matematica 6248, Providence, Rhode Island 02940. Italiana, Istituto Matematico dell Universita, Piazza Dues: $15 or $22; payable to American Mathematical Porta S. Donato, 5, 40127 Bologna, Italy. Society. Dues: $12; payable to Segretaria della Unione Mate­ Privileges: Individuals who pay dues of $15 are en­ matica Italiana. titled to receive Circulaire and Gazette. Individuals Privileges: Bollettino Unione Mathematica who pay dues of $22 are entitled to Circulaire, Italiana -Sezione A. Gazette, and Bulletin. Four issues per year of Asterisque may be purchased at a discount price. Officers: Carlo Pucci (President}, Gianfranco Capriz (Members in the U.S., Canada, or Mexico should (Vice President}, Salvatore Coen (Treasurer}, Luigi order their copies from the AMS. See the AMS Pepe (Secretary). Catalogue of Publications. Officers: C. Houze) (President}, J. P. Aubin, G. Wiskundig Genootsehap Lachaud, B. Malgrange (Vice Presidents}, P. Mazet Apply to: Membership Department, Mathematisch (Treasurer}, M. David (Secretary). Instituut, Budapestlaan 6, 3584 CD, Utrecht, Netherlands. Soeiete Matbematique Suisse Dues: Hfl 55.-; payable to Amro Bank, Utrecht, Apply to: S. D. Chatterji, Secretary SMS, Netherlands, Account 45.65.88.167, Penningmeester Departement de Mathematiques, Ecole Polytechnique Wiskundig Genootschap. Federale, Lausanne, CH-1015, Switzerland. Dues: SFr. 15.- for members of the AMS residing Privileges: Nieuw Archie[ Voor Wiskunde (three outside Switzerland; payable to S. D. Chatterji, issues a year containing articles and a problem Secretary SMS, by check or by CCP 80-16483 section}, Mededelingen (nine issues a year containing (Compte Cheque Postal). announcements and book reviews}, Proceedings of Privileges: Commentarii Mathematici Helvetici the Royal Academy of Sciences- "lndagationes (reduced price}; information concerning activities of Mathematicae" (can be obtained at a reduced SMS. subscription rate of Hfl 95.-).

442 Officers: J. Korevaar (President), G. J. Schellekens Dues: IS 40; $3 for overseas members; payable to (Treasurer), C. Roos (Secretary). Israel Mathematical Union. Privileges: Newsletter; may attend and present Latin America papers at meeting. Officers: Shmuel Kantorovitz (Chairman), Ely Soeiedade Brasileira de Matematica Merzbach (Treasurer), Louis Rowen (Secretary). Apply to: The Secretary, Sociedade Brasileira de Matematica, Estrada Dona Castorina 110, 22460-Rio South Paeifie de Janeiro, RJ, Brazil. Dues: US $6; payable to Sociedade Brasileira de • Australian Mathematical Soeiety Matematica. Address for mail: Australian Mathematical Society, Privileges: Boletim and Noticiario da Sociedade c/o Department of Mathematics, University of Brasileira de Matematica (each, two issues per year). Queensland, St. Lucia, Queensland 4067, Australia. Officers: Imre Simon (President), Alfredo Jones Apply to: W. R. Bloom, Secretary, Australian (Treasurer), Carlos Edgard Harle (Secretary). Mathematical Society, c/o School of Mathematical & Physical Sciences, Murdoch University, Murdoch, Soeiedad Matematica Mexieana W.A. 6150, Australia. Apply to: Sociedad Matematica Mexicana, Apartado Dues: $A38.00; payable to D. G. Tacon, Associate Postal 70-450, 01000 Mexico D.F., Mexico. Treasurer, Australian Mathematical Society, cfo Dues: US $10; payable to Sociedad Matematica School of Mathematics, The University of New Mexicana. South Wales, P.O. Box 1, Kensington, N.S.W. 2033, Privileges: Boletin de la SMM (two issues per Australia. year), Matematicas y Enseiianza (three issues per Privileges: Free copies of The Gazette and copies year), Miscelanea Matematica (irregular), Carta of Journal Series A and B and The Bulletin at lnformativa (three issues per year). members rates. Officers: Salvador Garcia (President), Adalberto Officers: G. B. Preston (President), R. S. Anderson, Garcfa-Maynez (Vice President), Jesus Perez-Romero J. R. Giles, A. J. van der Poorten (Vice Presidents), (Treasurer), Alejandro Lopez-Yaiiez (Secretary). V. G. Hart (Treasurer), W. R. Bloom (Secretary). Union Matematica Argentina • Malaysian Mathematieal Soeiety Apply to: Secretary of the Union Matematica Apply to: The Secretary, Malaysian Mathematical Argentina, Casilla de Correo 3588, 1000-Correo Society, cfo Department of Mathematics, University Central, Buenos Aires, Argentina. of Malaya, Kuala Lumpur, Malaysia. Dues: us $6; payable to Union Matematica Argen­ Dues: $10; payable to Malaysian Mathematical tina. Society. Privileges: Revista de la Union Matematica Privileges: MMS Newsletter, Bulletin of the Argentina (two issues per year). Malaysian Mathematical Society (two issues per Officers: Orlando E. Villamayor (President), Juan year), reduced rate for Menemui Matematik (three A. Tirao (Vice President), Elsa Cortina (Treasurer), issues per year). Carlos G. Gregorio (Secretary). Officers: Ming-Huat Lim (President), Pak-Soong Chee, Shaharir Mohamad Zain (Vice Presidents), Middle East Kurunathan Ratnavelu (Treasurer), Sek-Wui Seah (Secretary). • Iranian Mathematieal Soeiety Mathematical Soeiety of the Philippines* Apply to: Secretary, Iranian Mathematical Society, P. 0. Box 31-1248, Tehran, Iran. Apply to: Membership Committee, Mathematical Dues: $21; payable to Iranian Mathematical Society. Society of the Philippines, Department of Mathe­ Privileges: Bulletin of the Iranian Mathematical matics, Ateneo de Manila University, P.O. Box 154, Society and reduced rate for participation in the Manila, Philippines. annual Iranian Mathematics conferences. Dues: $5; payable to Mathematical Society of the Officers: M. Radjabalipour (President-Secretary), A. Philippines. Rejali (Treasurer). Privileges: Publications and newsletters of the Mathematical Society of the Philippines. Israel Mathematical Union Officers: Bienvenido F. Nebres (President), Honesto Address for mail: Israel Mathematical Union, c/o G. Nuqui (Vice President), Josefina C. Fonacier Louis Rowen, Secretary, Department of Mathematics (Treasurer), Fe N. Reyes (Secretary). and Computer Science, Bar-Ilan University, Ramat­ Gan, Israel. eNew Zealand Mathematical Soeiety* Apply to: Ely Merz bach, Department of Mathematics Apply to: J. L. Schiff, Treasurer, Department of and Computer Science, Bar-Ilan University, Ramat­ Mathematics, University of Auckland, Private Bag, Gan, Israel. Auckland, New Zealand.

443 Dues: $NZ7.50 (1981); payable to J. L. Schiff, at reduced rate (currently $NZ 9.00, payable to Treasurer, New Zealand Mathematical Society, c/o Mathematical Chronicle Committee, University of Royal Society of New Zealand, P. 0. Box 12-249, Auckland). Wellington, New Zealand. Officers: D. B. Gauld (President), W. D. Halford, J. Privileges: All those of ordinary members except the H. Ansell (Vice Presidents), J. L. Schiff (Treasurer), right to vote; free copy of the Newsletter of the NZMS D. J. Smith (Secretary). (3 per year); subscription to Mathematical Chronicle

PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS

THE SANTA CRUZ CONFERENCE ON FINITE GROUPS edited by Bruce Cooperstein and Geoffrey Mason

In the last year or so there have been widespread just come of age. This conference was partially sup­ rumors that group theory is finished, that there is ported by a grant from the National Science Founda- nothing more to be done. It is not so. tion. -from the Preface by G. Mason While it is true that we are tantalizingly close to that pinnacle representing the classification of finite There are 90 papers in this book by almost as simple groups, one should remember that only by many authors. The major divisions of the book are: reaching the top can one properly look back and 1. Classification theory of finite simple groups, survey the neighboring territory. It was the task of 2. General theory of groups, the Santa Cruz conference not only to describe the 3. Properties of the known groups, tortuous route which brings us so close to the sum­ 4. Representation theory of groups of Lie-type, mit of classification, but also to chart out more 5. Character theory of finite groups, accessible paths-ones which might someday be open 6. Combinatorics, to the general mathematical pub I ic. 7. Computer applications, A third concern was the elucidation of topics in 8. Connections with number theory and other fields. related fields, and it is to one of these three areas The table of contents includes so many mathe­ that the papers in this volume are devoted. maticians well known and active in the field that it Just a quick glance at the table of contents [too would be unfair to list a sample. lengthy to be included here] will reveal a wide variety of topics with which the modern group theorist must Volume 37, xviii + 634 pages (hard cover) contend. Some of these, for example the connections List price $44, institutional member $33, individual member $22 with the theory of modular functions, have very re- ISBN 0-8218-1440-0; LC 80-26879 cent origins, but they leave us with the clear impres- Publication date: january 1981 sian that, far from being dead, group theory has only To order, please specify PSPUM/37N Prepayment is required for all American Mathematical Society pub I ications. Send for the book(s) above to: AMS, P. 0. Box 1571, Annex Station, Providence, Rl 02901

and an inversion of the list showing LC numbers MATHFILE USER'S GUIDE and corresponding AMS classification codes. MATHFJ LE is the Society's new computer-search­ Index of terms occurring in the subject classification. able version of Mathematical Reviews (the cumulative Alphabetic listing of subject words from the 1980 index covering 1973 to 1979, as well as the contents Mathematics Subject Classification with the corre­ of issues published in 1980 and since, including for sponding class numbers given for each. This list will the latter texts of the reviews themselves). For infor­ be very helpful to searchers unfamiliar with the mation on MATHFJLE see the February 1982 Notices, 1980 Mathematics Subject Classification. page 169. A user's guide has been prepared by the Society Title words of entries reviewed from 1973 to 1979, to make searching MATHFILE easier, more effective arranged alphabetically with class numbers under and faster. The Guide includes: which the entries occurred and frequency of occur­ Instructions. How to get started on the vendors' sys­ rence of each word in each section. tems, an explanation of the file and suggestions on Inversion of the title word list, arranged by classifi­ search techniques. cation number, showing which title words occurred Abbreviations. journal name abbreviations used by in each section and with what frequency. This will Mathematical Reviews, and the full titles as defined be useful in finding the right words to search on a by the Library of Congress, the JSSN, Coden, and specific subject. useful publishing information. Approximately 350 pages, Three-ring Binder List price $55, institutional member $41, Subject Classification Systems. A correlated four­ individual member $41 column display of the two (1970 and 1980) slightly ISBN 0-8218-0216-X different systems, the Library of Congress system, Publication date: May 1982 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.

444 New AMS Publications

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CONTEMPORARY MATHEMATICS Rinze!, j. and Terman, D. (ISSN 0271-4132) Troy, W. Wolfe, P. Strauss, W. Zabusky, N. j. Nonlinear Partial Differential Equations Temple, B. 1980 Mathematics Subject Classifications: 35-02, 35Q20, Joel A. Smoller, Editor 73005, 76C05 Contemporary Mathematics This is the proceedings of a conference which took Volume 17, x + 446 pages (soft cover) place on June 20-26, 1982, at the University of List price $28, institutional member $21, New Hampshire in Durham, New Hampshire. The individual member $14 conference was sponsored by the American Mathe­ ISBN 0-8218·5017·2; LC 83-2844 matical Society, and was funded by the National Publication date: May 1983 To order, please specify CONM/17N Science Foundation. The theme was time-dependent nonlinear partial differential equations; in particular, the majority of the speakers lectured either on shock waves or Fixed Points and reaction-diffusion equations and related areas. The Nonexpansive Mappings first day speakers were asked to give an overview of Robert C. Sine, Editor their field: to describe the main results, and the open problems. A special session on Fixed Points and Nonexpan­ Perhaps the most interesting feature of this con­ sive Mappings was held in conjunction with the An­ ference was the constant interplay between analysis, nual Meeting of the American Mathematical Society topology and computational methods. in Cincinnati in January 1982. This volume repre­ The following is a list of the authors of papers in sents the proceedings of that session. In several in­ this volume. stances the papers here go beyond "extended ver­ Amundson, N. Hastings, S. and sions" of the actual talks given. It was felt that the Bardos, C. Kazarinoff, N. interest would be greater in scope and in time if the Barrow, D. and Hirsch, M. papers took on as much of the flavor of a survey as Bates, P. Hoff, D. possible. Beale, }. T. jones, C. Contents Be/bas, S. and Keener, j. Ronald E. Bruck, Asymptotic behavior of nonexpan­ Lenhart, S. Keyfitz, B. and sive mappings Berestycki, H., Kranzer, H. Frank Deutsch, A survey of metric selections Nico!aenko, B. Kheshgi, H. and David J. Downing, Some aspects of nonlinear map­ and Scheurer, B. Luskin, M. ping theory and equivalent renormings Berger, M. Kopel!, N. J. Elton, Pei-Kee Lim, E. Odell and S. Szarek, Caflisch, R. and Kurland, H. Remarks on the fixed point problem for nonex­ Nico!aenko, B. Liu, T. P. pansive maps Cheng, K. S. Matsumura, A. and W. A. Kirk, Fixed point theory for nonexpansive Chipot, M. and Nishida, T. mappings. II Hale,/. Mimura, M. Teck-Cheong Lim, Asymptotic centers in c0, c and m Conway, E. Mora, X. William 0. Ray, Normally solvable nonlinear opera­ DiPerna, R. Nishida, T. and tors Fife, P. and Smo!!er, j. Simeon Reich, Convergence, resolvent consistency, Nico!aenko, B. Osher, S. and and the fixed point property for nonexpansive Gardner, R. Ralston, j. mappings G!imm, j. Pego, R. Robert Sine, Recurrence of nonexpansive mappings Greenberg, j. Rasc!e, M. in Banach spaces

445 S. Swaminathan, Normal structure in Banach spaces 1980 Mathematics Subject Classifications: 58E20; 32H99, and its generalisations 49F99, 53C05, 58 A 10, others. Ricardo Torrejon, Some remarks on nonlinear func­ CBMS Regional Conference Series tional equations Number 50, vi + 86 pages (soft cov~r) List price $16, individuals $8 T. E. Williamson, A geometric approach to fixed ISBN 0·8218-0700-5; LC 82·25526 points of non-self mappings T: D -+ X Publication date: May 1983 1980 Mathematics Subject Classifications: 4 7 H1 0, 54E40; To order, please specify CBMS/50N 47H05, 41A50 Contemporary Mathematics Volume 18, viii + 256 pages (soft cover) List price $20, institutional member $15, MEMOIRS OF THE AMS individual member $10 (ISSN 0065·9266) ISBN 0-8218-5018-0; LC 83-6077 Publication date: May 1983 To order, please specify CONM/18N Limiting Equations for Problems Involving Long Range Memory CBMS REGIONAL CONFERENCE SERIES Moshe Marcus and Victor Mizel (Supported by the National Science Foundation) Asymptotic solution behavior and relevant limit (ISSN 0160·7642) equations are studied for a broad class of nonauton· omous hereditary equations. These problems are pre· Selected Topics in Harmonic Maps sented on a function space consisting of locally inte· James Eells and Luc Lemaire grable functions defined on semi-axes of the reals, and the operators occurring in the equations map The first part of this work is devoted to an ac· this function space into the space of continuous count of various aspects of the theory of harmonic functions-in a 'nonanticipative' manner. The basic maps between Riemannian manifolds. In §1 the topological dynamic framework which is developed authors develop the formalism of Riemannian connec­ is then employed in the detailed analysis of three tions in vector bundles and the relevant calculus of concrete classes of problems: nonlinear Volterra vector bundle valued differential forms. That forma· equations with autonomous kernel; a general family lism is applied systematically in the sequel. §§2-7 of nonlinear functional differential equations; and give a rather full treatment of various topics. §§8 nonlinear Volterra equations with nonautonomous and 9 present certain aspects of the relationships be· kernel. tween harmonic and holomorphic maps. 1980 Mathematics Subject Classifications: 54H20, 45005, The primary aim of Part I is to present a coherent 34K25, 45M05 introduction to harmonic maps as a branch of geo· Memoirs of the American Mathematical Society metric variational theory, and to illustrate their Memoir Number 278, vi + 66 pages (soft cover) appearance as significant objects in Riemannian List price $9, institutional member $7, geometry. individual member $5 ISBN 0·8218·2278·0; LC 83·3752 In Part II the authors propose certain unsolved Publication date: May 1983 problems, together with comments and references. To order, please specify MEM0/278N They range over the whole theory of harmonic maps, and are certainly of widely varying difficulty. This book presents the first printed exposition of the qualitative aspects of harmonic maps. Hodge Theory and Contents the Local Torelli Problem Geometric Aspects of Harmonic Part I. Differential Loring W. Tu Maps §§1. Operators on vector bundles, 2. Harmonic This monograph consists of two parts. The first maps, 3. Some properties of harmonic maps, part is an exposition of some developments in Hodge 4. Second variation of the energy, 5. Spheres and theory dating from the sixties and due largely to the behavior of the energy, 6. The stress-energy Phillip Griffiths and his coworkers. The topics in· tensor, 7. Harmonic morphisms, 8. Holomorphic elude the period map, Hodge bundles, monodromy and harmonic maps between almost Kahler mani· and variation of Hodge structure, mixed Hodge struc· folds, 9. Properties of harmonic maps between tures and the numerical invariants of a degeneration. Kahler manifolds. This machinery is applied in the second part to the Part II. Problems Relating to Harmonic Maps local Torelli problem in algebraic geometry. Several §§1. Existence of harmonic maps, 2. Regularity new proofs are given for the case of curves. In higher problems, 3. Holomorphic and conformal maps, dimensions an affirmative answer is given for a 4. Construction/classification of harmonic maps, smooth family of varieties of dimension at most four 5. Properties of harmonic maps, 6. Spaces of having a large number of holomorphic 1-forms. maps, 7. Noncompact domains, 8. Variations on Throughout the book the presentation has been a theme. kept as down-to-earth and as elementary as possible.

446 1980 Mathematics Subject Classifications: 14C30, 14H15, utilizes exponentially weighted square-integrable 14]15 norms in space-time together with a judicious choice Memoirs of the American Mathematical Society of these weights as the time interval tends to zero. Memoir Number 279, vi + 66 pages (soft cover) List price $9, institutional member $7, 1980 Mathematics Subject Classifications: 16 LOS, 35 L65 individual member $5 Memoirs of the American Mathematical Society ISBN 0·8218·2279·9; LC 83-3781 Memoir Number 281, vi + 94 pages (soft cover) Publication date: May 1983 List price $10, institutional member $8, To order, please specify MEM0/279N individual member $5 ISBN 0-8218-2281-0; LC 83-3725 Publication date: May 1983 To order, please specify MEM0/281 N Algebraic K-theory and Localised Stable Homotopy Theory Victor P. Snaith Intersection Calculus on Surfaces Abstract with Applications to 3-manifolds This paper continues the theme initiated in [Mem. John Hempel Math. Soc. (1979), number 221]. There is a Amer. Abstract homomorphism from the stable homotopy of the If a group, T, acts on a surface, S, there is a pair· of the group of units in a ring to classifying space ing its algebraic K-theory. When the ring has enough H1 (5) x H1 (5)-+ ZT roots of unity a "Bott element" exists in these called the Reidemeister pairing. We use properties of groups (taken with coefficients). We compute the this pairing, in the case that 5/T is a Heegaard split· groups obtained by inverting the Bott element. This ting surface for a 3-manifold, M, to prove a duality computation, in successively more elaborate guises, theorem for the fundamental group of M and, in a is used, in conjunction with the homomorphism relative form, for the fundamental group system. We mentioned above, to construct algebraic K-theory also give criteria for the reducibility of the Heegaard classes and to give upper bounds on K-theory with splitting. In the process we review material about the Bott element inverted. group and module presentations as related by the 1980 Mathematics Subject Classifications: 55N15, 18F25, free differential calculus with emphasis on its geo­ 55P42 metric interpretation and give explicit formulae for the American Mathematical Society Memoirs of Reidemeister pairing. Memoir Number 280, xii + 108 pages (soft cover) computing the List price $11, institutional member $9, 1980 Mathematics Subject Classifications: 55M05, 57M05, individual member $6 57M10, 57N05, 57N10 ISBN 0-8218·2280-2; LC 83·3126 Memoirs of the American Mathematical Society Publication date: May 1983 Memoir Number 282, vi + 50 pages (soft cover) To order, please specify MEM0/280N List price $8, institutional member $6, individual member $4 ISBN 0-8218·2282-9; LC 83-3724 Publication date: May 1983 The Existence of To order, please specify MEM0/282N Multi-dimensional Shock Fronts Andrew Majda Abstract PROCEEDINGS OF THE STEKLOV The short-time existence of discontinuous shock­ front solutions of a system of conservation laws in INSTITUTE OF MATHEMATICS several space variables is proved under suitable (ISSN 0081-5438) hypotheses. These shock-front solutions are nonlinear progressing wave solutions associated with the non­ Spectral Theory of linear wave fields. The results developed here apply Automorphic Functions compressible fluid flow in two to the equations of A.B.Venkov or three space variables with standard equations of state where the initial data can have shock discon· Contents tinuities of arbitrary strength which lie on a given 1. Notation and auxiliary theorems smooth initial surface with arbitrary geometry. 2. Theorem on expansion in eigenfunctions of the These shock-front solutions are constructed via a operator U(r; x) classical interation scheme so that the shock fronts 3. First refinement of the expansion theorem for for the physical equations are extremely stable and U(r; x). The continuous spectrum do not exhibit a "loss of derivatives." Two of the 4. The Selberg trace formula main tools used in the proof of convergence are 5. Elements of the theory of the Selberg zeta-func­ estimates from Friedrichs' theory of positive sym­ tion. Spectral and geometric applications of the metric systems and the linearized stability theory theory for shock fronts developed recently by the author. 6. Second refinement of the expansion theorem for The convergence proof for the iteration scheme U(r; x). The discrete spectrum

447 7. The spectral theory of perturbations of the spec­ AMS TRANSLATIONS, SERIES 2 trum of the operator U(r; x). Some perspectives (ISSN 0065-9290) on the development of the spectral thoory of auto­ morphic functions Four Papers on 1980 Mathematics Subject Classifications: 10005, 10020, Ordinary Differential Equations 10040, 10H10, 32N05, 32N15 M.G. Krein and V. A. Jakubovic Proceedings of the Steklov Institute of Mathematics Volume 153, ix + 164 pages (soft cover) Contents List price $64, institutional member $48, M. G. Krein, Foundations of the theory of individual member $32 A.-zones ISBN 0-8218-3078-3; LC 83-2694 of stability of a canonical system of linear differ­ Publication date: May 1983 ential equations with periodic coefficients To order, please specify STEKL0/153N M. G. Krein, On tests for stable boundedness of solu­ tions of periodic canonical systems V. A. JakuboviC:, Critical frequencies of quasicanon­ ical systems TRANS LAliONS OF M. G. Krein and V. A. J akubovic, Hamiltonian sys­ tems of linear MATHEMATICAL MONOGRAPHS differential equations with periodic coefficients (ISSN 0065-9282) 1980 Mathematics Subject Classifications: 34A30, 34B25, 34C35; 15A18, 70)25 Differential Forms Orthogonal to AMS Translations-Series 2 Holomorphic Functions or Forms, Volume 120, iv + 168 pages (hard cover) List price $35, institutional member $26, and their Properties individual member $18 L. A. Alzenberg and Sh. A. Dautov ISBN 0-8218-3075-9; LC 83-2825 Publication date: May 1983 The authors consider the problem of characteriz­ To order, please specify TRANS2/120N ing the exterior differential forms which are orthog­ CORRECTION: Volume 119 of AMS Translations, onal to holomorphic functions (or forms) in a do­ Series 2, was incorrectly described on page 212 of main D C en with respect to integration over the the February 1983 Notices as being issued in soft boundary, and some related questions. They give a cover. It is in hard cover. detailed account of the derivation of the Bochner­ Martinelli-Koppelman integral representation of ex­ RECENT REPRINTS terior differential forms, which was obtained recently (1967) but has already found many important appli­ LECTURES ON LINEAR cations. They study the properties of a-closed forms PARTIAL DIFFERENTIAL EQUATIONS of type (p, n - 1), 0 ,;;;;; p ,;;;;; n - 1, which turn out L. Nirenberg to be the duals (with respect to the orthogonality CBMS Regional Conference Series in Mathematics mentioned above) to holomorphic functions (or Number 17,58 pages (ISBN 0-8218-1667-5) forms) in several complex variables, and resemble 1973; reprinted 1983 (soft cover) List price $8, individual holomorphic functions $4 of one complex variable in To order, please specify CBMS/17N their properties. The greater part of the resu Its ex­ pounded were obtained during the years 1970- HARMONIC ANALYSIS ON 1973. L. Gross In the six years that have elapsed since this book Memoirs of the AMS, Number 46 appeared in the USSR, many new results have been 62 pages (ISBN 0-8218-1246-7) obtained in this field of multidimensional complex 1963; reprinted 1983 (soft cover) analysis. These results are presented in a supplement List price $8, institutional member $6, (Chapters V-VII), written by the authors especially individual member $4 for the American edition. The results of A. M. To order, please specify MEM0/46N Kytmanov have made the greatest impact on the contents of the supplement. REPRESENTATION OF RINGS BY SECTIONS This book will be useful to mathematicians and j. Dauns and K. H. Hofmann theoretical physicists interested in several complex Memoirs of the AMS, Number 83 variables. 180 pages (ISBN 0-8218-1283-1) 1968; reprinted 1983 (-soft cover) 1980 Mathematics Subject Classifications: 32A25, 32F15; List price $9, institutional member $7, 32A35, 32A45 individual member $5 Translations of Mathematical Monographs To order, please specify MEMOI83N Volume 56, x + 165 pages (hard cover) List price $36, institutional member $27, Prepayment is required for all AMS publications. individual member $18 Order from AMS, PO box 1571, Annex Station, ISBN 0-8218-4508-X Publication date: May 1983 Providence, Rl 02901, or call 800-556-7774 To order, please specify MMON0/56N to charge with VISA or MasterCard.

448 Miscellaneous

Personal Items Michael Pilant of Texas A&M University has been appointed to an assistant professorship at that Pierre E. Conner, Jr. of Baton Rouge, Louisiana institution. will be visiting the University of Western Ontario Paulo Ribenboim of Queen's University will be from September to December 1983. His area of visiting the University of Illinois, Urbana-Champaign, special interest is topology. from September to December 1983. His area of special Edward D. Davis of SUNY, Center at Albany, interest is number theory. will be visiting Queen's University from September Gordon L. Walker has been designated an to December 1983. His area of special interest is Honorary Fellow by the National Federation of commulative algebra. Abstracting and Information Services in recognition Patrick Flinn of Texas A&M University has of his outstanding contributions to the Federation. been appointed to an assistant professoship at that institution. Deaths Evarist Gine of Louisiana State University, Baton Rouge, has been appointed to a professorship at Jacob Kofner, of George Mason University, died Texas A&M University. on March 23, 1983 at the age of 35. He was a member of the Society for 6 years. Paul R. Halmos of Indiana University, Bloomington was a visiting professor the University Hugh S. Stanley died on February 18, 1983. He of Victoria in March 1983. was a member of the Society for 53 years. Douglas Hensley of Texas A&M University has Valeriu I. Troie, of the Courant Institute of been appointed to an associate professorship at that Mathematical Sciences, New York University, died on institution. March 27, 1983 at the age of 30. He was a member of the Society for 2 years. David Johnson of Texas A&M University has been appointed to an associate professorship at that institution. Erratum Eugene H. Lehman will teach English as a A supplementary list of Assistantships and Fellow­ Second Language for the academic year 1983-1984 in ships in the Mathematical Sciences in 1983-1984 was Sumatra, Indonesia. published in the February 1983 Notices. On page 226 Catherine Meadows of Texas A&M University the number of faculty published for UNIVERSITY has been appointed to an assistant professorship at OF CALIFORNIA, RIVERSIDE, Department of that institution. Mathematics, should have been 18 not 8. Joseph Neisendorfer of Ohio State University, Columbus, will be visiting the University of Western Ontario from September to December 1983. His area of special interest is algebraic topology.

Plane Ellipticity and Related Problems Sommen, Brackx and Pincket, and Lounesto investi­ gate hypercomplex function theory in Rn, that is Robert P. Gilbert, Editor the class of homogenic functions having values in a In this collection of papers concepts associated Clifford algebra. with plane-ellipticity are extended in several ways. The remaining talks comprising this special meet­ For example, the investigations of Begehr and Gilbert, ing cannot be categorized as falling into a general Begehr and Hsiao, Hile and Snyder treat systems of group, but rather explore isolated, albeit important, elliptic partial differential equations in the plane topics associated with ellipticity. which resemble in some sense the Cauchy-Riemann equations. Their point of view is to seek general Contemporary Mathematics representation formulas and to use these in some Volume 11, viii + 245 pages (soft cover) cases to solve boundary value problems. Continuing List price $21, institutional member $16, individual member $11 with the theme of generalizing the Cauchy-Riemann ISBN 0·821 8·5012·1; LC 82·11 562 equations, Buchanan treats the Bers-Vekua type sys­ Publication date: September 1982 tems in two complex variables, while Delanghe and To order, please specify CONM/11 N

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.

449 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 Allgower, Eugene (U.S.A.) University of Hamburg, Numerical Analysis 4/83. 9/83 West Germany Ames, William F. (U.S.A.) University of Messina, Italy Applied Mathematics 9/83 . 10/83 Berkovitz, Leonard (U.S.A.) Imperial College, University Control Theory 9/83 • 7/84 of London Bixby, Robert E. (U.S.A.) lnstitut fiir Okonometrie und Mathematical Programming, 9/83 • 6/84 Operations Research, Matroid Theory, Graph Theory, West Germany Game Theory Branson, Thomas (U.S.A.) Odense University, Denmark Functional Analysis 8/83 . 12/83 Coram, Donald (U.S.A.) University of Zagreb, Geometric Topology 9/83 • 7/84 Yugoslavia Dougalis, Vassilios, (U.S.A.) University of Crete, Greece Numerical Analysis 9/83 . 6/84 Drasin, David (U.S.A.) Imperial College, University Complex Variables 9/83 • 8/84 of London Groetsch, C. W. (U.S.A.) University of Kaiserslautern, Numerical Analysis 5/83 • 6/83 West Germany Harris, Michael (U.S.A.) University of Paris, France Number Theory Faii/84-Spring/85 jaco, William (U.S.A.) University of Melbourne, Manifold Topology 7/83" 8/83 Australia jones, Peter W. (U.S.A.) Mittag-Leffler Institute, Analysis 7/82 . 7/84 Sweden Lipshitz, Leonard (U.S.A.) University of Leuven, Belgium Logic 1/84 . 5/84 Martin, Michael (U.S.A.) Open University, England Combinatorics, Computer Science 9/83 . 12/83 McKennon, Kelly (U.S.A.) National Taiwan University Analysis on Homogeneous Spaces 9/83 • 6/84 Miranda, Rick (U.S.A.) Bar-llan University, Israel Algebraic Geometry 6/83 • 7/83 Neuts, Marcel F. (U.S.A.) University of Stuttgart, Operations Research 9/83" 3/84 West Germany Technion-Israel Institute Operations Research 3/84" 7/84 of Technology Phan, Kok·Wee (U.S.A.) National University of Group Theory 6/83. 8/84 Singapore Plummer, Michael D. (U.S.A.) Mathematics Institute of the Graph Theory 8/83 . 12/83 Hungarian Academy of Sciences Ruckle, William H. (U.S.A.) Trinity College, University Functional Analysis and 10/83 . 6/84 of Dublin, Ireland Game Theory Shalen, Peter, B. (U.S.A.) University of Nantes, France Topology 1/84. 5/84 Sibuya, Yasutaka (U.S.A.) University of Grenoble I, Ordinary Differential Equations 3/84. 6/84 France Swaminathan, Srinivasa Australian National University Functional Analysis 2/84" 7/84 (Canada) Wilson, W. Stephen (U.S.A.) Kyoto University, japan Algebraic Topology 6/83 " 10/83 National Taiwan University Algebraic Topology 11/83 Weitsman, Allen (U.S.A.) Mittag-Leffler Institute Complex Variables 9/83. 6/84 Sweden Williams, Floyd L. (U.S.A.) Sophia University, japan Lie Groups 6/83. 8/83

Visiting Foreign Mathematicians Agmon, Shmuel (Israel) University of Minnesota Partial Differential Equations 3/84. 4/84 Almkvist, Gert (Sweden) University of Illinois at Algebra 8/83 " 5/84 Urbana-Champaign Angeniol, Bernard (France) Harvard University Algebraic Geometry 1/84. 8/84 Avramov, L. (Bulgaria) University of Illinois at Algebra 1/83 " 12/83 Urbana-Champaign

450 Name and Home Country Host Institution Field of Special Interest Period of Visit Babai, Laszlo (Hungary) Simon Fraser University Discrete Mathematics 7/83- 8/84 van Benthem, j. F. A. K. Simon Fraser University Mathematical Logic 9/83 - 12/83 (The Netherlands) Brattstriim, Gudren Bunting Institute, Radcliffe Number Theory 9/83- 6/84 (Sweden) Brunner, Norbert (Austria) Purdue University Topology, Set Theory 8/83- 5/84 Bruns, W. (West Germany) University of Illinois at Algebra 7/83- 8/83 Urbana..Champaign Bunke, Olaf (East Germany) Bowling Green State University Statistics 1/84- 5/84 Cannon, John (Australia) Rutgers University Computational Algebra 9/83- 8/84 Chen, Jia-Ding (People's Columbia University Theory of Statistical Inference, 9/82- 8/84 Republic of China) Sequentiel Analysis, Markov Chains, Orthogonal Design. Maximum Likehood Estimates Ciliberto, Ciro (Italy) Harvard University Algebraic Geometry 9/83-11/83 Dales, Harold Garth University of California, Analysis 7/83- 6/84 (England) Los Angeles California Institute of Banach Algebras 1/84- 4/84 Technology Esterle, jean Robert University of California, Radical Banach Algebras 10/83 - 12/83 (France) Los Angeles California Institute of Banach Algebras 2/84- 4/84 Technology Estrada, R. (Costa Rica) Texas A&M University Applied Mathematics 9/83- 6/84 Foxby, H. B. (Denmark) University of Illinois at Algebra 7/83- 8/83 Urbana-Champaign Fris, Ivan Petr (Austria) Theory of Computing 10/83 - 6/84 Georgiou, D. A. (Greece) University of California, Davis Differential Equations 9/82- 9/83 Giordano, Thierry Queen's University Operator Algebras 10/81 - 12/83 (Switzerland) Gray, Jeremy (England) Brandeis University History of Mathematics 9/83 - 5/84 Hazewinkel, M. (Holland) University of Illinois at Algebra 9/83 - 10/83 Urbana..Champaign Henrici, Peter (Switzerland) University of North Carolina Numerical Analysis, Applied 9/83 - 4/84 at Chapel Hill Mathematics Hogendijk, j. P. Brown University History of Arabic Mathematics 7/83 - 6/84 (The Netherlands) Horigome Michio (Japan) George Washington University Time Series Analysis and 3/83 - 11/83 its Application Horvath, Lajos (Hungary) Carleton University Strong & Weak Approximation in 1/84 - 12/84 Probability & Statistics, Survival Analysis, Stochastic Differential Equations Huang, Wen-Tao (Taiwan) Carleton University Statistics 7/83- 8/83 Humphreys, John F. University of Notre Dame Group Theory 6/83- 5/84 (United Kingdom) Ishibashi, Hiroyuki (Japan) University of Notre Dame Classical Groups 2/84- 3/84 lwanaga, Yasuo (Japan) Carleton University Associative Algebras 9/83 - 7/84 Jajte, Ryszard (Poland) University of Tennessee Probability and Statistics 9/83 - 3/84 Kannai, Yakar (Israel) University of Minnesota Economics 9/83- 6/84 Kirwan, Frances (England) Harvard University Algebraic Geometry 7/83- 6/86 Konig, Dieter Georgia Institute of Technology Probability and Random 9/83 - 12/83 (East Germany) Processes Virginia Polytechnic Institute 1/84- 3/84 and State University Lukas, Mark A. (Australia) Colorado State University Applied Analysis 8/83 - 5/84 Malliavin, M.-P. (France) University of Illinois at Algebra 9/83 - 10/83 Urbana..Champaign Mogilski, Jerzy (Poland) University of Tennessee Infinite Dimensional Topology 9/83- 6/84 Manard, Carolina (Brazil) University of Waterloo Analysis of Algorithms, 6/83 - 8/83 Videotex

451 Name and Home Country Host Institution Field of S11ecial Interest Period of Visit Nakanishi, Tatuo (Brazil) University of Waterloo Analysis of Algorithms, 6/83- 8/83 Performance Analysis Negrepontis, Stelios (Greece) Wesleyan University Analysis, Combinatorics 4/84- 5/84 Norsett, Syvert Paul University of Waterloo Numerical Solutions of Ordinary 9/83 - 9/84 (Norway) Differential Equations Oda, Tadao (Japan) Harvard University Algebraic Geometry 9/83- 6/84 O'Reilly, Federico (Mexico) Simon Fraser University 9/83- 8/84 Palczewski, Andrzej University of Victoria Statistical Mechanics 1/83- 11/83 (Poland) Peternell, Thomas Harvard University Several Complex Variables 9/83- 6/84 (West Germany) Pilz, GUnter (Austria) University of Southwestern Algebra 8/83 - 12/83 Louisiana Rickman, Seppo (Finland) University of Minnesota Complex Analysis 9/83 - 12/83 Rosay, Jean Pierre University of California, Several Complex Variables 10/83 - 12/83 (France) Los Angeles University of North Carolina 1/84- 6/84 at Chapel Hill Rosenberg, Harold (France) University of Minnesota Geometry 9/83- 2/84 Rosinski, jan (Poland) Case Western Reserve Probability 8/83 - 12/83 University Rozga, Krzysztof (Poland) University of Texas Jt Dallas Mathematical Relativity Theory 9/82- 6/84 Saxton, Ralph (England) University of California, Applied Mathematics 7/83- 6/84 Los Angeles Schaefer, H. (Germany) Texas A&M University Functional Analysis 9/83- 1/84 Schneider, Peter Howard University Number Theory 9/83- 6/84 (West Germany) Shyr, Huei-jan {Taiwan) University of Western Ontario Automata and Formal Languages 7/83- 8/83 Skandalis, George {France) Queen's University Operator Algebras 9/82 - 12/83 Souillard, B. {France) California Institute of Mathematical Physics 11/83- 1/84 Technology Stewart, lan N. {England) University of Houston, Catastrophe Theory, Applied 9/83- 8/84 Central Campus Mathematics Szemeredi, Endre {Hungary) University of South Carolina Combinatorics 8/83- 1/84 Szplro, L. {France) University of Illinois at Algebra 9/83 - 10/83 Urbana-Champaign Tachikawa, Hlroyukl Carleton University Associative Algebras 7/84- 9/84 {Japan) Tesel, Alberto {Italy) University of Minnesota Reaction-diffusion Systems 5/83- 11/83 Thomsen, Per Grove University of Waterloo Sparse Matrix Techniques and 9/83- 9/84 {Denmark) Differential Equations Trummer, Manfred R. University of North Carolina Numerical Analysis, Applied 8/83- 6/84 {Switzerland) at Chapel Hill Mathematics Tsuyumine, Shlgeaki Harvard University Algebraic Geometry 7/83- 6/84 {Japan) Tzariri, L. {Israel) Texas A&M University Functional Analysis 9/83- 1/84 Vazguez, juan L. {Spain) University of Minnesota Nonlinear Partial Differential through 7/83 Equations Wallis, W. D. {Australia) Simon Fraser University Discrete Mathematics 9/84- 2/85 Woude, jaap Van Der Case Western Reserve Topological Dynamics 8/83- 5/84 {The Netherlands) University Wu, Tien-Zenh {China) New Mexico Institute of Applied Mathematics, Numerical 11/82- 11/84 Mining and Technology Methods and Programming Languages Zanghi, Antonio {Italy) University of Denver Quantum Mechanics 4/83 - 11/83

452 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 $78 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, 1983.

CONTRIBUTING MEMBERS

Abbott, James H. Farrell, Roger H. Laning, J. H. Redheffer, Raymond M. Woolf, William B. Zalcman, Lawrence A. Akemann, Charles A. Fass, Arnold L. Leger, George F. Rees, Carl J. Wright, Robert K. Zelinsky, Daniel Amir-Moez, Ali R. Francis, Eugene A. Lemay, William H. Reese, Matthias F. Ziebur, Allen D. Andrews, George E. Lenard, Andrew Riney, JohnS. Zink, Robert E. Assmus, Edward F., Jr. Galuten, Aaron LeVeque, William J. Robinson, Julia B. Yahya, S. M. Anonymous (7) Gleason, Andrew M. Lewis, Robert H. Rose, Donald C. Young, Gail S. Baugh, James R. Gordon, Hugh Rosenblum, Marvin Baumslag, Gilbert Gould, Henry W. Mamelak, Joseph S. Ross, Kenneth A. Beals, Richard W. Grace, Edward E. Mann, W. Robert Rovnyak, James L. GENERAL CONTRIBUTIONS Beck, William A. Graves, Robert L. Mansfield, Maynard J. Rykken, Charles John Adams, Elliott T. Beechler, Barbara J. Greicar, Richard K. Margulies, William Beechler, Barbara J. Sally, Paul J., Jr. Berkovitz, Leonard D. Greif, Stanley J. Marking, Michael P. Berkovitz, Leonard D. Samit, Jonathan Berman, Gerald Grimmer, Ronald C. Mathsen, Ronald M. Casanova, Toussaint Bing, R. H. Mattson, H. F., Jr. Sawyer, Stanley A. Clifford, Alfred H. Gromov, Mikhael Schori, Richard M. Boghossian, Artin Guggenbuhl, Laura McCready, Robert R. Cullinane, Steven Booth, George W. Meder, Albert E., Jr. Selfridge, John L. Donaldson, James A. Seligman, George B. Haddad, George F. B. Miller, W. F. Fass, Arnold L. Carson, Robert C. Sexauer, Norman E. Halberstam, Heini Mislin, Guido Forbes, Stephen D. Chihara, Theodore S. Shields, Allen L. Greicar, Richard K. Hartnett, William E. Moore, Richard A. Chinn, William G. Siemon, Michael L. Hartnett, William E. Hassinger, Bill, Jr. Morawetz, Cathleen S. Clifford, Alfred H. Sinko, Carl J. Hassinger, Bill, Jr. Horwitz, Paul S. Muhly, Paul S. Cohen, Henry B. Siwiec, Frank E. Hochster, Melvin Hironaka, Heisuke Murphy, Donald P. Coleman, A. John Stakgold, lvar Kiefer, James E. Hochstadt, Harry Conley, Charles C. Naimpally, Starkey, Joel B. Kimme, Ernest G. Hochster, Melvin Conner, Pierre E., Jr. Somashekhar A. Sternberg, David Kopala, Conrad Horrigan, Timothy J. Corrigan, Thomas Carney Najfeld, Igor Strauss, Frederick B. Kunen, Kenneth Howe, Roger E. Cullen, Daniel E. Nashed, M. Zuhair Sullivan, Richard W. Mamelak, Joseph S. Cullen, Helen F. Hufford, George A. Newman, Morris Swokowski, Earl W. Mathsen, Ronald M. Hunt, Richard A. Meder, Albert E., Jr. Nishiura, Togo Taylor, Michael E. Darko, Denis F. Hutchinson, George A. Mitchell, Alfred K. Nohel, John A. Tellefsen, Carl R. Daverman, Robert J. Muhly, Paul S. Thomas, P. Emery DeFacio, Brian Johnson, Roy A. Oertly, Aida F. Naimpally, Somashekhar A. T sao, Sherman DeFrancesco, Henry F. Orlik, Peter P. Newman, Morris Kaplan, Wilfred Deleon, Morris Jack Ortner, Gene M. Nishiura, Togo Kautzmann, Frank N., III Voege, Herbert W. DeMarr, Ralph E. Otermat, Scott C. Orlik, Peter P. Dinneen, Gerald P. Kelly, John B. Watson, Harry A., Jr. Peabody, Mary K. Donaldson, James A. Kendall, Richard P. Palais, Richard S. Weintraub, Steven H. Ribe, Martin G. Donoghue, William F., Jr. Kiefer, James E. Palmer, Theodore W. Wendroff, Burton Robinson, Julia B. Durst, Lincoln K. Killeen, John Papanicolaou, George C. White, George N., Jr. Siwiec, Frank E. Kimme, Ernest G. Paradise, Michael E. Whitmore, William F. Spataru, A. Earle, Clifford J., Jr. Kist, Joseph E. Peabody, Mary K. Wilkins, J. Ernest, Jr. Starr, Norton Ecklund, Earl F., Jr. Knuth, Donald E. Pearson, Robert W. Wilson, Robert Lee Sullivan, Richard W. Ellis, James W. Kopala, Conrad Perry, William L. Woeppel, James J. White, Christopher Clarke Epstein, D. I. Kunen, Kenneth Peterson, Ronald J. Wolfe, Stephen James

453 AMS RESEARCH FELLOWSHIP FUND

Abadie, Jean M. Beals, Richard W. Cahill, Rotraut G. Dade, Everett C. Elliott, Sheldon E. Gilpin, Michael J. Abdei-Megied, Mohamed Beard, Jacob T. B., Jr. Cain, Bryan E. Dadok, Jiri Enderton, Herbert B. Giovannitti, Anthony J. Ablow, Clarence M. Becerra, Linda Calabi, Eugenio Dai. Taen- Yu Endsley, Neil H. Glass, A. M. W. Adams, Elliott T. Beck, Jonathan M. Calderon, Alberto P. Damkohler, Wilhelm L. Engber, Michael Glass, Michael S. Adams, William W. Becker, Michael Caldwell, Roderick P. c. D'Angelo, John P. Engle, Jessie Ann Gleason, Andrew M. Adu, David ldowu Beckmann, William H. Campbell, L. Andrew D' Archangelo, Ensey, Ronald J. Glenn, Paul G. Ailam, Gedalia Belbruno, E. A. Carey, A. L. James Michael Epstein, D. I. Glicksberg, Irving L. Aissen, Michael I. Bellamy, David P. Caricato, Gaetano D'Aristotle, Anthony J. Erdman, John M. Glyptis, Nicholas Aizenman, Michae\ Bellow. Alexandra Carlson, B. G. D' Attorre, Leonardo Erickson, K. Bruce Godfrey, Colin AI-Bassam, Ali Rafil Ben kart, Georgia M. Carmichael, Richard D. Davila. Norma Evans, Trevor Goldhaber, J. K. Alegria, Carlos A. Berbee, Henry C. P. Carney, Charles L. Davis, Edward D. Evens, Leonard Goldman, William Mark Alexander, James Berger, Alan E. Carr, Ralph W. Day, Mahlon M. Goldstein, Jerome A. Alif, Metod Bergman, George M. Carroll, Timothy B. De Bruin, Marcel G. Faith, Carl Goldstein, Norman J. G. AI-Jarrah, Radwan A. Bergstrand, Deborah J. Carter, Thomas J. De Canniere, Jean Faris, William Gomez Martinez, Alpern, Steven Berner, Andrew J. Cartier, Pierre De leon, Morris Jack Farr, Dennis J. Guillermo Leon H. Alspach, Dale F. Bernstein, Joseph N. Cartlidge, James M. Dediu, Mihai Farrer, Brian Gomi, Kunia Febvre, Fran~oise Ancel, Fredric Davis Bers, Lipman Castore, Glen M. Deeb, Waleed M. Goodman, Roe W. Feferman, Solomon Anderson, Bertil Berstein, Israel de Castro, Antonio Deeba, Elias Yacoub Gordon, Carolyn S. Fegan, H. D. Anderson, Douglas R. Bertin, Emile M. Cenzer, Douglas DeFacio, Brian Gorenstein, Daniel I. Anderson, Robert V. Betsch, Gerhard deCesare, Kenneth M. DeGeorge, David L. Fein, Burton Goroff, Daniel L. Feinsilver, Philip Anshel, Michael Bierstedt, Klaus D. Chadwick, J. J. M. Dekker, Jacob C. E. Gosselin, John A. Feit, Walter Apostol, Tom M. Bierstone, Edward Chan, Chiu Yeung Delange, Hubert Goth, John A. Fenchel, Werner Archer, Myla M. Birman, Joan S. Chandrasekharan, P. S. DeMarr, Ralph E. Grace, Edward E. Fendrich, John W. Arenstorf, Richard F. Bisson, Terrence Paul Chang, Chao P. Demko, Stephen Grad, Harold Ferguson, Harry Aribaud, F. Blackmore, Denis L. Chanler, Josephine H. D'Entremont, Robert Paul Gramsch, Bernhard Ferguson, Arms, Judith M. Blake, Louis H. Chen, Concordia C. Dettman, John W. Gray, Robert E. Helaman Rolfe Pratt Arnold, David M. Blanchet, Pierre Chen, Goong DeTurck, Dennis Green, James A. Ferrari, Carlo Arnold, Douglas N. Boghossian, Artin Chiang, Peter H. S. Devaney, Robert L. Greenberg, Ralph Ferris, Ian M. Arnold, Timothy K. de Boor, Carl Chihara, Theodore S. DeVito, Carl L. Greene, Robert E. Ferro, Alfredo Asano, Shigemoto Boos, William Chinn, William G. Di Maio, Giuseppe Greger, Karl Ferro, Ruggero Askey, Richard A. Booth, George W. Choksi, Jal R. Di Paola, Jane W. Greim, P. Ferry, Steven C. Auslander, Bernice L. Bosch, Carlos Giral Christy, Joe Diaconescu, Radu Greville, Thomas N. E. Feshbach, Mark F. Auslander, Maurice Brachman, Malcolm K. Chu, Chinku Diamond, Harold G. Griess, Robert Louis, Jr. Ayoub, Raymond G. Fiedorowicz, Zbigniew Griffiths, H. Brian Bramsen, John D. Church, Philip T. Dickerson, Charles E. Azarnia, Nazanin Fine, Benjamin Grivel, Pierre P. Brandly, M. S. Churchill, Richard C. Diederich, Klas Azoff, Edward A. Finkelstein, Leib Brauer, Fred Ciarlet, Philippe G. Diny, Debra Ann Gromoll, Detlef Finol, Carlos E. Gross, Benedict Hyman Brauer, George U. Claassen, Robert Divis-Poracka, Zita M. Babalola, Victor Adelzola Dixon, Peter Grant Fischer, Emanuel Gross, Louis J. Brauner, Claude-Michel Clarke, Bob W. Bachman, George Fitz-Gerald, Gary F. Grossman, Marvin W. Brechner, Beverly L. Cochran, James A. Doberkat, Ernst-Erich Bachmuth, Seymour Flahive, Mary Gbur Grubb, Daniel J. Brent, Richard P. Cody, William F., Jr. Dodson, B. Bacon, Harold M. de Foglio Susana, F. L. Gualtierotti, A. F. Bressoud, David M. Cohen, Elaine Doob, Joseph L. Baderian, Armen Robert Dou, Alberto M. Foia~, Ciprian Hie Guillot, J. C. Brothers, John E. Cohen, Frederick R. Baer, Robert M. Dow, Alan Folland, Gerald B. Gulden, S. L. Browder, William Cohen, Henry B. Baernstein, Albert, II Dowers, J. F. Fang, Che-Kao Gulliver, Robert D., II Brown, Anne E. Cohen, Marshall M. Baik, Yang Bai Downes, Virginia L. Fang, Paul Gurarie, David Brown, Arthur B. Cohn, Richard M. Baker, Alan Downey, Charles P. Fossum, Robert M. Gurney, Margaret Brown, J. James Cole, Charles A. Baker, Charles R. Downum, Philip B. Fredricksen, John T. Gutknecht, Martin H. Brown, Johnny E. Cole, Paul Dana Bales, John W. Drake, David Freeman, Robert S. Brown, Lawrence G. Collier, William G., Jr. Balser1 Arienne S. Drasin, David Frias, Simon Haber, Seymour Brown, Robert E. Colson, Henry D. Baouendi, M. S. Draut, Arthur W., Jr. Friedman, Sy D. Hackenbroch, Wolfgang Bruna, Joequim Comenetz1 Daniel Barely, Julio Edgardo Dubson, Alberto S. Frohardt, Daniel E. Hackler, Donald B. Brunschwig, Mildred C. Conner, Pierre E., Jr. Bari, Ruth A. Duchamp, Thomas E. Frohlich, Jiirg M. Haigh, Tom Bruter, Claude P. Conrad, Bruce P. Barker, Dudley, Richard M. Frucht, Robert W. Hailperin, Theodore Buhler, Joe P. Conway, Edward D., Ill William Hamblin, II Duncan, Cecil E. Fuchs, Wolfgang H. Haimo, Deborah T. Buianouckas, Francis R. Cooper, Benjamin G. Barnes, Robert F., Jr. Duncan, Richard D. Fuchssteiner, Benno Hajja, Mowaffaq Abdulla John J. Bunce, John W. Cootz, Thomas A. Baron, Duskin, John W., Jr. Fukui, Seiichi Halberstam, Heini Barros-Neto, Jose Burckel, Robert B. Cordero, Luis A. Dyson, Verena H. Fuller, Robert Arthur Hale, David R. Barth, Karl F. Bureau, Florent J. Corduneanu, Constantin Hammer, F. David Bartick, Philip R. Burghelea, Dan Cornelius, Thomas A. Earle, Clifford J., Jr. Gabber, Ofer Hammond, William F. Baruch, Herbert M., Jr. Burkholder, Donald L. Cornet, H. Eastham, Jerome Fields Gaier, Dieter Hamstrom, Bates, Grace E. Burns, Daniel M., Jr. Correa Soto, Ramon Ecklund, Earl F., Jr. Gale, Carolyn Spencer Mary-Elizabeth Batt, Jurgen 0. Burr, Stefan A. Cotsaftis, Michel Edmonds, Allan L. Gallagher, Patrick X. Hano, Jun-Ichi Batterson, Steven L. Busenberg, Stavros N. Coury, Nicholas J. Edrei, Albert Gandulfo, Roberto Oscar Harbater, David Bauer, Frances B. Bustelo, Julia Ana Cowling, Michael G. Efroymson, Gustave A. Ganelius, Tord H. Hardt, Robert M. Baum, Paul F. Butts, Thomas R. Crane, George E. Ehrlich, Gertrude Gantos, Richard l. Haring-Smith, Robert H. L. Baxter, James A. Butzer, Paul Crestin, Jean-Pierre Ehrlich, Paul Ewing Gasper1 George, Jr. Harish-Chandra Bazer, Jack Byrnes, James S. Cross, Ronald W. Eilenberg, Samuel Gaudefroy, Alain Harrell, Evans M. Cruse, Allan B. Eisner, Elmer Gehring, Frederick W. Harrington, Walter J. Cullinane, Steven Ejike, Geoghegan, Ross Harris, Morton E. AMS RESEARCH FELLOWSHIP FUND Curran, Peter M. Uwadiegwu B. C. 0. Gerber, Marlies Haruki, Hiroshi IN MEMORY OF GEORGE WHAPLES Currier, Albert W. Eldridge, Klaus E. Gerig, Stephen R. Harvey, William J. Department of Mathematics and Statistics, Curtis, Charles W. Elia, Michele Gerisch, Wolfgang Hastings, Harold M. University of Massachusetts, Amherst Curtis, Doug W. Elliott, David L. Gershenson, Hillel H. Hausmann, Jean-Claude Whaples, Miriam K. Curtis, Herbert J. Elliott, George A. Getu, Seyoum Hayek, Nacere Cushing, Jim M. Elliott, Joanne Gill, Stephen P. Hayes, David R.

454 AMS Research Fellowship Fund (Continued)

Hecht-Nielsen, Robert Jerison, Meyer Kriegsman, Helen F. Luxemburg, Mullin, Albert A. Pedersen, Edward A. Held, Rene P. Jeroslow, R. G. Krueger, Charles G. Wilhelmus A. J. Munkholm, Hans J. Peitgen, Heinz 0. Heller, Barbara Ruth Jockusch, Carl G., Jr. Kubert, Daniel S. Murakami, Shingo Peletier, Lambertus A. Hellerman, Leo Johnson, Charles N. Kuku, A. 0. Macbeath, A. M. Murphy, Owen J. Pepper, Paul M. Hempel, John P. Johnson, Kurata, Yoshiki MacDonald, Ian D. Murray, Spencer 8. Perry, Peter Anton Henderson, D. Randolph, Jr. Kuroda, S. T. MacGillivray, Muse, Archie Henry Pesotan, Hoshang Francis McVey Johnson, Roy A. Kurshan, Robert P. Archibald D. Muto, Yosio Petersen, Bent E. Hennefeld, Julien 0. Johnson, Russell A. Kurss, Herbert Magnus, Wilhelm Myers, Earle F. Pezzana, Mario Hensley, Douglas A. Jones, David Arthur Kurtzke, John F., Jr. Makkai, Michael Myers, William H. Pfaeffie, Thomas P. Herman, Mark A. Jones, Gordon C. Kusunoki, Yukio Makowsky, Piger, Jean Hermann, Robert Jones, Harold T. Johann Andreas Nababan, Sahala Pinsky, Mark A. Herrera, R. B. Jones, Phillip S. Laca, Marcelo E. Malkevitch, Joseph Nadel, Mark E. Piranian, George Hertz, Kenneth J. Jongen, Hubertus Th. Laderman, Jack Malkus, David Starr Nagano, Tadashi Pittie, Harsh V. Herzog, Emil R. Jonsson, Bjarni Laha, Radha G. Malon, David M. Nagisetty, Rao V. Pixley, Emily C. Heuer, Gerald A. Jorgensen, P. E. T. Lam, Tsit- Yuen Mann, Benjamin M. Nagle, R. Kent Pixley, Henry H. Hid a, Takeyuki Jory, Virginia V. Landau, Henry J. Marathe, Kishore B. Naimpally, Plotkin, Jacob M. Hilbert, Stephen R. Joyce, David E. Lander, Felix I. Margolis, Stuart W. Somashekhar A. Pollatsek, Harriet S. Hill, Ned W., Jr. Justice, James H. Landesman, Edward M. Marie, Charles Michael Nakamura, Riichiro Pop-Stojanovic, Zoran R. Hill, Stephen D. Lanford, Oscar E., III Martelli, Mario Umberto Nakano, Kazumi Porta, Harry J. Hilton, Peter J. Kaashoek, Marinus A. Langenhop, Carl E. Martin, Harold W. Narcowich, Francis J. Poschel, JUrgen Hirano, Tetsutaro Kac, Mark Langston, Michael David Martin, Hayden Garth Nath, Radha G. Poulsen, Ebbe T. Toru Hironaka, Heisuke Kahn, Donald W. Lantz, David C. Maruyama, Nathanson, Melvyn B. Pour-EI, Marian B. Hlavka, James L. Kahn, Jeff N. Lanzano, Paolo Maskit, Bernard Nayar, Brij M. Preston, Christopher J. Hochschild, Gerhard P. Kalia, R.N. Lapidus, Arnold Matsumoto, Yukio Neeb, Donna M. Priestley, William M. L. Hideyuki Hockett, Kevin G. Kallman, Ralph A. Laplaza, Miguel Matsumura, Nelligan, John D. Prieur, Serge Hodges, Wilfrid A. Kalton, N. J. Larson, Jean Matthews, Jane Nelson, Edward Protter, Philip E. P. Hodgson, Jonathan P. E. Kappel, F. Larson, Richard G. Mattuck, Arthur Nelson, Larry D. Hofer, Robert D. Karch, Paul T. Lashof, Richard K. Maxwell, James W. Nelson, Paul, Jr. Quinn, Frank S., III Lauwerier, Hendrik A. J. Peter Hoffman, Jerome William Karle, Jerome May, Nesbitt, Cecil J. E. Richard B. Ralph Martin Rabinowitz, Paul H. Hognas, Goran Kats, Boris Lavine, May, Neumann, Bernhard H. Rajanna, Willie Bee Holberton, John V. Kavanagh, John P. Lawrence, John W. Mayor, John R. Neustadter, Siegfried F. Jr. J. Ralston, Elizabeth W. Holmes, Charles S. Keisler, Michael Lawson, H. Blaine, McAdam, Stephen Nevai, Paul G. Jean-Pierre Lax, Peter D. McAndrew, Anthony P. Ralston, James V. Holmes, Philip John Keller, Ninomiya, Nobuyuki Maurice P. McClish, Wayne E. Ramanujan, Holvoet, Roger Kennedy, Lazard, Michel Nitecki, Zbigniew H. Kennison, John F. Lazer, Alan C. McConnell, John C. Melapalayam S. Horne, J. G., Jr. Nivat, Maurice P. Kennison, Lawrence S. Le Bivic, Frant;ois McCoy, Thomas L. Ramsay, Arlan B. Horowitz, Maurice Niven, Ivan George A. Cam, L. M. McCullough, Darryl Rao, Shrikant Narayan Horvath, John M. Kent, Le Nohel, John A. Kesten, Harry Lebrun, Claude R. McDonald, Janet Raskind, Wayne Mark Hosoi, T sutomu Nolton, John Owen Ketchum, Pierce W. Cheng-Ming McDuff, Dusa Raymond, Frank A. Howe, Roger E. Lee, Noor, Khalida lnayat Khalimsky, Lee, Do-won McGibbon, Charles A. Reade, Maxwell 0. Hudson, D. L. Norman, Davidovich David B. McGovern, Richard J. Reber, Douglas C. Hudson, Richard H. Efim Leep, Francis Alexander Kibbey, D. E. Leger, George F. Mcleod, Robert M. Rebhuhn, Deborah Huebschmann, Johannes John Lehner, Joseph McMillan, Daniel R., Jr. Obata, Moria Reed, George Michael Hughes, Anthony Killeen, E., Jr. Leipholz, Horst Hermann Mears, Florence M. Odlyzko, Andrew M. Reed, Myra Jean Hughes, Rhonda J. Kimber, John Kimn, H. J. Eduard Meisner, Morris J. Odoni, R. W. K. Rees, Mina S. Hughes, Richard P., Jr. Kinderlehrer, DavidS. Leitzel, James R. C. Mello, David Cabral Oehmke, Robert H. Reese, Matthias F. Hughes, Ruth L. King, Donald R. Leitzel, Joan P. Melrose, Richard B. Oertly, Aida F. Reid, Christopher Ervin Huh, Won King, James R. Leonard, Philip A. Mendoza, Gerardo A. Ogden, Nancy C. Reinoehl, John H. Huibregtse, Mark E. Kinney, John R. Lepowsky, James I. Merriell, David M. Oharu, Shinnosuke Rejto, Peter A. Hulkower, Neal D. Kishi, Masanori Levin, Jacob J. Metivier, Michel Okasaki, Kent Y. Renno, James G., Jr. Hulthen, Lamek Klass, Michael J. Levin, Richard G. Michel, Rene Okayasu, Takateru Restrepo, Guillermo Humphreys, James E. Klatman, David S. Levine, Harold I. Michel, Yvonne Oldham, Frank Ernest Rhee, Choon Jai Humphreys, M. Gweneth Kleinschmidt, Peter Levine, Jerome P. Michiaki, Watanabe Oldroyd, L. Andrew Rhoades, Clark P. Huneke, Craig L Kleisli, H. Lewis, John A. Miles, E. P., Jr. Olver, Peter J. Rice, John R. Hutchinson, George A. Klement, Erich Peter Lewis, L. Gaunce, Jr. Miller, Haynes R. Oman, John Arthur Richards, Pamela C. Hutchison, William G., Jr. Kleppner, Adam Libgober, Anatoly S. Miller, Hugh D. B. O'Neill, Bruce Edward Rickart, Charles E. Hyde, Allen R. Knill, Ronald J. Lieb, Elliott H. Mills, William H. Onieva, Victor M. Rickman, B. Rieffel, Marc A. lgari, Satoru Knowles, J. David Lieberman, David I. Minda, C. David Orellana, Chacin Mauricio Oswald Iha, Franklin T. Koch, Richard M. Linis, Viktors Mishra, Sudhakara Ornstein, Wilhelm Riemenschneider, Rietz, Ronald E. Ingram, Steven K. Kahn, John Lipman, Myra A. R. Misra, A. K. Ortega, Joaquin Robbin, Joel W. loakimidis, N. I. Kahn, Robert V. Lipp, D. W. Mizel, Victor J. Osondu, Kevin E. Leon C., Jr. Irving, Ronald S. Kolaitis, Phocion G. Liu, Jong-Diing Mochizuki, Horace Y. Osserman, Robert Robbins, Robertson, Alexander P. Isaacs, Godfrey L. Kolbig, Kurt Siegfried Liulevicius, Arunas L Moite, Sally M. Otermat, Scott C. Robinson, Derek J. S. Isaacs, I. Martin Kolchin, E. R. Llopis, Regina M. Monticone, Leone C. Paciorek, Joseph W. Robinson, Julia B. Ishimoto, Hiroyasu Kolesar, R. J. Loomis, Irene H. Moody, Robert V. Palka, Bruce P. Rod, David L. ItO, Kiyosi Kolodner, Ignace I. Lopez, Amparo Moon, Kyung-Ho Pallaschke, Diethard Roessler, E. B. Ito, Noboru Komm, Horace Lopez-Escobar, Mooney, John J. Richard A. Palmer, Theodore W. Rogers, C. Ambrose Iwanaga, Yasuo Koriyama, Akira Edgar G. K. Moore, Korman, Philip L. Louhivaara, Ilppo S. Moore, W. L. Park, (hull Raider, Bernhard A. Jackson, Howard L Kostenbauder, Adnah G. Lauten, Tom Morales F., Bernardo R. Parker, Elwood G. Rose, Donald C. Jaco, William H. Kottler, George F. Love, Thomas Robert Morgan, Louise F. Parker, Thomas H. Rose, N. J. Jacobson, Marcel Katzen, Marshall J. Lubbers, David Hilary Morin, Ghislain Parrott, David Rosenbaum, Robert A. Jacquet, Herve M. Kotzig, Anton Lubin, Clarence I. Morrel, Bernard B. Parter, Seymour V. Rosenberg, Alex Janssen, Robert D. Kazen, Dexter C. Luchins, Edith H. Morrison, David R. Paschke, William L. Rosenberg, Jonathan M. Janus, Ellen 0. Kra, Irwin Luecking, Daniel H. Morrison, John A. Patton, Charles M. Rosenberg, Steven Janusz, Gerald J. Kramer, Robert J. Luke, Morse, Burt J. Paulsen, Vern I. Rosenstein, Jeltsch, Rolf Kramer, Thomas R. Jonathan Hwa Chung Mostow, Mark A. Pearson, Robert W. George M., Jr. Jenkins, Emerson 0. Krause, Ralph M. Luther, C. F. Mrowka, Stanislaw G. Peck, Emily Mann Rosenthal, Jenny E. Jensen, Arne Kravitsky, Naf\ali Lutterodt, Clement Henry Muhly, Paul S. Peck, N. Tenney Ross, Kenneth A.

455 AMS Research Fellowship Fund (Continued)

Rossi, Hugo Segal, Marsha A. Stark, William Richard Thomas, P. Emery Vogel, Kurt Williamson, Richard E. Rothaus, Oscar S. Sehgal, Virindra M. Steer, Brian F. Thron, Wolfgang J. Vogel, Pierre Wilmer, Grace B. Rothe, Erich H. Seibert, Peter Stein, Sherman K. Tierney, Ann R. Voigt, Paul S. Wilson, Leslie C. Rothschild, Bruce L. Seligman, George B. Steinberg, Robert Tierney, Myles Voreadou, Rodiani Wilson, Robert Lee Rothschild, Linda Preiss Sell, George R. Stern, Ronald J. Tippett, James M. Winslow, Gerald Rowe, Niles W. Sember, John J. Sternberg, David Tischler, David C. Wadhwa, Shushan Lal Wirszup, lzaak Rubin, Herman Semmes, Stephen William Stevens, Richard S. Tits, Jacques L. Wadsworth, Adrian R. Witsenhausen, Hans S. Rubin, Jean E. Serizawa, Shozo Stoll, Wilhelm F. Tjiok, Mouw-Ching Wagner, Eric G. Witte, David S. Rubinstein, Joachim H. Shaftman, David H. Stone, David A. Toil, Kathryn B. Wake, Bob Alan Wolfe, Michael David Ruess, W. Shanks, Merrill E. Stortz, Clarence B. Taile, Louis F. Waldinger, Hermann V. Wollman, Stephen Ruiz Fern6ndez de Sharp, Henry, Jr. Story, Helen F. Tallis, Theodore Walsh, John J. Wong, Sherman K. Pinedo, J. Shea, Daniel F. Strand, John L. Tolsted, Elmer Walton, Jay R. Wong, Yim-Ming Russakoff, Andrew Sherman, Clayton C. Strauss, Phyllis Torrance, Ellen M. Ware, Roger P. Wood, David H. Ruzicka, John F. Shields, Allen L. Strauss, Walter A. Tretkoff, Carol Warren, Bette L. Wood, John W. Ryan, Donald E. Shimada, Nobuo Sucheston, Louis Tretkoff, Marvin D. Warren, William E. Woythaler, Joseph W. Rykken, Charles John Shin, Yang-Tae Sudler, Culbreth, Jr. Tripp, John C. Wasserman, Arthur G. Wu, T. C. Ryser, Herbert J. Shiraiwa, Kenichi Suita, Nobuyuki Trucano, Timothy Guy Waterhouse, William C. Wyman, Bostwick F. Tugue, Tosiyuki Watkins, Mark E. Shorter, William Ivan Sundberg, Carl Yachter, Morris Sahab, Salem M. Siegel, Martha J. Sunouchi, Haruo Tuler, Randy Watson, Harry A., Jr. Sakai, Makoto Turiel, F. J. Watts, Charles E. Yajima, Kenji Siemon, Michael L. Sutherland, Patrick M. Yamaguti, Kiyosi Salas, Saturnine L. Turner, Philip H. Wechsler, Martin T. Sigrist, Fran~ois Suzuki, Haruo Yang, Kung-Wei Salinas, Luis C. Weibel, John L. Sim, Soon Kiang Swartwout, Donald E. Yanowitch, Michael Santalo, L. A. Ucci, Jack Weill, Lawrence R. Simen, David C. Swokowski, Earl W. Yaqub, Jill S. Santi, Ehsabetta Unai, Yasushi Unai Weiss, Paul Sinke, Carl J. Szwec, R. J. Yasuhara, Ann Santoni, Larry J. Upton, John A. W. Wells, Benjamin F., Ill Sizer, Walter S. Yasuhara, Mitsuru Sarason, Donald E. Tabara, Tatsuhiko Utreras, Florencio Wells, David M. Slinker, Steven P. Yood, Bertram Sarhan, Mahmoud Taft, Margaret W. Wene, Gregory P. Slomski, J. F. van der Vaart, H. Robert York, Donald C. Sastri, Chelluri C. A. Takesaki, Masamichi Wente, Henry C. Smith, F. R. Valentine, Joseph Lane Younis, Schafer, Alice T. Wermer, John Smith, Herman J., Jr. Talmadge, Richard B. Valentini, Robert C. Rahman Mahmoud Schafer, Richard D. Smith, Michael G. Tam, Bit-Shun Vamanamurthy, West, Donald C. Schaps, Maika Elisheva Smith, Rick L. Tan, Henry K. Mavina K. West, James E. Zalcman, Lawrence A. Schatzman, Michelle Smith, Roland F. Tanabe, Hiraki Van Alstyne, John P. White, Brian Cabell lama, Nobuo Schmetterer, Leopold K. Smith, Wilbur L. Tanabe, Kunia Van Arkel, Nicolaas A. White, Neil L. Zaslove, Barry L. Schmid, Wilfried Smaller, Joel A. Targonski, Gyorgy I. Van Casteren, Whitehead, George W. Zeller, Karl Schmidt, Henry J., Jr. Sohmer, Bernard Taylor, Angus E. Johannes A. Whitehead, Kathleen B. Ziege, Roland W. Schneider, Hans Solomon, Louis Taylor, Jean E. Van Daalen, Diederik T. Whitesides, Sue H. Zimering, Shimshon Schreiber, Bert M. Sonnesso, Geraldine Teitelbaum, Pinchas Van Horne, John W. Whitman, Philip M. Zoroa, P. Schreiner, Erik A. Sons, Linda R. Tellefsen, Carl R. Van Osdol, Donovan H. Whitney, D. Ransom Zucker, Steven M. Schreur, Barbara Soto Andrade, Jorge Ternes, Lorne Van Strien, Sebastian J. Whitton, Robert C. Zuckerberg, Hyam L. Schulman, Michael David Specht, Edward J. Teng, Tsing-Houa Van Tuyl, A. H. Wicke, Howard H. Zuckerman, Gregg J. Schutz, John W. Srinivasan, Bhama Terao, tiiroaki Van Veldhuizen, M. Wickerhauser, Schwarz, Gerald W. Srivastav, Ram P. Terpenning, David G. Van Vleck, Fred S. Mladen Victor Anonymous (11) Schweitzer, Paul A. Stackelberg, Olaf P. Terry, Raymond D. Vance, Elbridge P. Wightman, Arthur 5. Scissors, Richard H. Stallings, John R. Tews, Melvin C. Vance, James T., Jr. Wilkins, J. Ernest, Jr. Soott, Dana S. Stanley, Richard P. Thiele, Ernst-Jochen Vasconcelos, Walmer V. Williams, Robert E. Scott, Leonard L., Jr. Staples, Edmund Thoma, Elmar H. Veech, William A. Williams, Robert F. Scott-Thomas, John F. Beauclerc, Ill Thomas, Erik G. F. Vinograd, Robert E. Williams, Scott Warner Seebeck, Charles L., III Stark, Jeremiah M. Thomas, Lawrence E. Vogan, David A., Jr. Williamson, Clifton J.

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

456 Current Mathematical Publications

This biweekly journal is a subject index of recent and forthcoming mathematical publica­ tions which have been classified by the editors of Mathematical Reviews. (The classification scheme used is the 1980 Mathematics Subject Classification, published in each annual index of Mathematical Reviews.) Each issue contains an author index and a key index; Numbers 13 and 26 contain semiannual cumulative author and key indexes. Each issue contains a list of the journals represented in the issue, as well as a section con­ taining the tables of contents of certain journals. Occasionally, lists of lecture notes and new journals are included. Each volume is composed of twenty-six issues. Volume 15 is the 1983 volume.

ORDER FORM FOR CURRENT MATHEMATICAL PUBLICATIONS SUBSCRIPTIONS FOR AMS JOURNALS ARE FOR THE CALENDAR YEAR Check the appropriate boxes AMS Institutional MR List Member Individual Reviewer D $ 30.00 1983 SUBSCRIPTION PRICES (Second class mail) D $130.00 D $ 98.00 D $ 55.00 1983 SUBSCRIPTION PRICES (First class mail) 88.00 D 63.00 United States and Canada D 163.00 D 131.00 D 1983 SUBSCRIPTION PRICES (Air mail) Central and South America, Western Europe, and North Africa D 208.00 D 176.00 D 133.00 D 108.00 Other foreign D 223.00 D 148.00 D 123.00 BACK NUMBER PRICES List Member Volumes 10-14 (1978-1982), per volume $198.00 $149.00 Any new subscriber to an AMS journal (at list or institutional member prices) may, at any time during the six months following the order for a new subscription, make a one-time purchase of any or all back volumes of that journal at one half of list price. Amount enclosed $ . Orders must be prepaid unless charged to VISA or MasterCard. (Call 800-556-7774 for charges or for further information. Only new subscriptions from individuals may be charged.)

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457 AMS Reports and Communications

Report of the Treasurer The Treasurer this year again presents to the membership an abridged statement of the financial position of the Society, in semi-informal narrative style. A copy of the Treasurer's Report, as submitted to the Trustees and the Council, will be sent from the Providence Office to any member who requests it from the Treasurer. The Treasurer will be happy to answer any questions members may wish to put to him concerning the financial affairs of the Society.

I. A DESCRIPTION OF THE FINANCIAL POSITION OF THE SOCIETY AS OF DECEMBER 31, 1982 The Society had investments in accounts in the Rhode Island Hospital Trust National Bank ...... $ 1,559,073 There was owing to it by subscribers, and others (less allowance for doubtful accounts) ...... 428,605 It had prepaid expenses and deposits...... 141,183 It had deferred prepublication costs ...... 580,463 It had invested in the headquarters building, Mathematical Reviews editorial offices, computers, and other equipment ...... 3,378,900 Making a total of current and fixed assets of...... 6,088,224 The Society also held investment securities and uninvested principal cash valued at ...... 2,209,105 (Approximate market value December 31, 1982: $2,296,657) Total assets, therefore, were ...... $ 8,297,329

Offsetting these assets, the Society had Accounts payable ...... $ 551,302 Reserved unearned dues and subscriptions ...... 4,003,349 Other miscellaneous liabilities ...... 567,467 Funds and grants received from various sources to support particular projects such as the summer institute, symposia, etc...... $ 2,405 A surplus in its publication funds ...... 1,743,018 1,745,423 Its general fund reflected a deficit balance of ...... (779,317) Thus, accounting for all the current funds ...... 6,088,224 The invested funds represent the following: The Endowment Fund, largely the gifts of members . . . . . 100,000 Robert Henderson Endowment Fund ...... 548,223 Joseph Fels Ritt Memorial Fund ...... 22,521 The Library Proceeds Fund, derived from the sale of the Society's library in 1959 ...... 66,000 Future operations fund ...... 285,667 The various prize funds ...... 164,880 Dues and publication reserve fund...... 126,641 Mathematical Reviews subscription reserve fund...... 80,000 Undistributed net gains on investment transactions . . . . . 680,461 Friends of Mathematics Fund ...... 29,584 Other funds, derived mainly from bequests to the Society by members, which Trustees were either required to invest or which they have invested at their option, the income being used for the general purposes of the Society ...... 105,128 2,209,105 Total liabilities .and fund reserves, therefore, were . . . $ 8,297,329

458 II. AN ACCOUNT OF THE FINANCIAL TRANSACTIONS OF THE SOCIETY DURING THE FISCAL YEAR ENDED DECEMBER 31,1982 The Society has two types of receipts: funds for special purposes and projects; and general funds, from which are met the general operating expenses, including the publication of Abstracts, the Bulletin, the Proceedings, Mathematics of Computation, the Notices, Current Mathematical Publications, Mathematical Reviews, and the 7ransactions. To meet its general obligations, the Society received from Dues and contributions of individual members ...... $ 501,465 Dues of institutional members...... 248,571 Dues of corporate and associate members ...... 5,973 756,009 Less amount allocated to Notices and Bulletin ...... 685,087 $ 70,922 Sales of Society journals ...... 4,614,474 Investments and trusts ...... 260,344 Publication contributions ...... 61,464 Miscellaneous sources ...... 26,466 Total general receipts ...... 5,033,670 These funds were expended for Publication of Society journals ...... 4,272,703 Net transfers to invested, special and publication funds, including support of membership services and costs of meetings ...... 1,223,677 Miscellaneous ...... 367,757 Total general expenses and transfers ...... 5,864,137 Net Deficit transferred to general funds ...... $ (830,467)

Respectfully submitted, Franklin P. Peterson Treasurer

459 Recent Appointments Maryland, College Park. The speakers were Lance D. Drager, Alfred Gray, Leon Karp, and McKenzie Committee members' terms of office on standing Y. Wang. committees expire on December 31 of the year Differential equations, KATHY ALLIGOOD, given in parentheses following their names, unless University of Maryland, College Park. The speakers otherwise specified. were Rita Iannacci, J. Mallet-Paret, Mario U. Martelli, S. E. Newhouse, Zbigniew Nitecki, Roger D. Lee P. Neuwirth (1985) has been appointed to the Nussbaum, Stephan E. Pelikan, Helena S. Wisniewski, Visiting Committee on Computer Operations and and James A. Yorke. Facilities by the chairman of the Board of Trustees, The legacy of Norbert Wiener, JOHN J. P. Emery Thomas. Continuing members of the BENEDETTO, University of Maryland, College Park, committee are Brian Kernighan, chairman (1984) and and PES! R. MASANI, University of Pittsburgh. Robert Sedgewick (1983). The speakers were J. Bass, John J. Benedetto, George (1984), Richard A. Askey (1984), Benke, Stamatis Cambanis, Ward R. Evans, Edwin Charles W. Curtis (1984), Melvin Hochster (1984), Hewitt, G. Kallianpur, Ka-Sing Lau, P. Masani, 0. Carruth McGehee (1984), Marc A. Rieffel (1984) Robert R. Nelson, A. M. Odlyzko, Harry Pollard, have been appointed by President Julia B. Robinson and Guido Weiss. to the Committee on Committees. The continuing Lie groups and generalized classical special member of the committee is Everett Pitcher (ex functions, LAWRENCE C. BIEDENHARN, Duke officio). Professor McGehee will serve as chairman. University. The speakers were Richard Askey, L. Auslander, Kenneth Baclawski, Johan G. F. Reports of Past Meetings Belinfante, Charles F. Dunk!, Loyal Durand, Jacques Faraut, Philip Feinsilver, Daniel Flath, Bruno Gruber, The Oetober Meeting in College Park Kenneth I. Gross, R. A. Gustafson, Robert Hermann, Wayne J. Holman III, F. T. Howard, Yehiel Ilamed, The seven hundred ninety-seventh meeting of the Kenneth D. Johnson, Tom H. Koornwinder, W. D. American Mathematical Society was held at the Lichtenstein, James D. Louck, Willard Miller, Jr., University of Maryland, College Park, on Saturday S. C. Milne, Walter G. Morris, Walter Schempp, and Sunday, October 30-31, 1982. All sessions were Michael F. Singer, Audrey A. Terras, and Jacob held in the Mathematics Building and the adjacent Towber. Physics Building. There were 384 registrants, Differential geometry and 3-manifolds, R. including 334 members of the Society. BROOKS, WALTER D. NEUMANN, and SCOTT Invited Addresses. By invitation of the Committee WOLPERT, University of Maryland, College Park. to Select Hour Speakers for Eastern Sectional The speakers were Mark D. Baker, Christopher B. Meetings, there were four invited one-hour addresses. Croke, Clifford J. Earle, David Gabai, William M. The speakers and the titles of their lectures were: Goldman, Nancy Hingston, Irwin Kra, Francis D. ROBERT FEFFERMAN, University of Chicago, Lonergan, Bernard Maskit, Howard A. Masur, Walter Fourier analysis with several parameters. D. Neumann, Don B. Zagier, and Wolfgang Ziller. DORIS FISCHER-COLBRIE, Columbia Univer­ Harmonic analysis, ROBERT FEFFERMAN. sity, Minimal submanifolds and their role in The speakers were J. M. Ash, William Beckner, geometry. D. L. Burkholder, Anthony Carbery, Michael Christ, ALPHONSE VASQUEZ, Graduate School and R. Coifman, E. B. Fabes, Allan Greenleaf, Henry University Center, City University of New York, Helson, David Jerison, R. L. Jones, Max Jodeit, Jr., Hilbert modular varieties. Jeff E. Lewis, P. Masani, Benjamin Muckenhoupt, SCOTT WOLPERT, University of Maryland, Umberto Neri, Wade C. Ramey, Walter Rudin, Cora College Park, and Harvard University, The Kahler Sadosky, Yoram Sagher, Elias M. Stein, Mitchell geometry of Teichmuller space. Taibleson, Peter A. Tomas, Stephen Wainger, Richard Special Sessions. By invitation of the same L. Wheeden, and J. Michael Wilson. committee, there were thirteen special sessions of Mathematical physics, EVANS M. HARRELL, selected twenty-minute papers as follows: Johns Hopkins University. The speakers were Tadeusz Number theory, WILLIAM W. ADAMS and Balaban, Michael F. Barnsley, Barry A. Cipra, David LAWRENCE C. WASHINGTON, University of W. Fox, Robert Nyden Hill, Ira Herbst, Martin Klaus, Maryland, College Park. The speakers were Greg W. Mark A. Kon, Richard B. Lavine, John D. Morgan Anderson, David M. Bressoud, W. Dale Brownawell, III, John F. Pierce, Penny D. Smith, Lawrence E. Henri Cohen, Gary Cornell, Benedict H. Gross, Thomas, and C. Eugene Wayne. David Harbater, H. Kisilevsky, Andrew Klapper, Minimal submanifolds in differential geometry, Marvin I. Knopp, Jeffrey C. Lagarias, Francis Oisin DAVID HOFFMAN, University of Massachusetts, McGuinness, Julia Mueller, M. Ram Murty, Carl Amherst. The speakers were William K. Allard, Pomerance, H. M. Stark, and H. C. Williams. F. J. Almgren, Jr., Michael T. Anderson, Antonio Riemannian geometry, A. ADEBOYE, Howard C. Asperti, Marcos Dajczer, James Eells, David University, and ALFRED GRAY, University of Hoffman, H. Blaine Lawson, Jr., Tilla Klotz Milnor,

460 Frank Morgan, Brian Smyth, Chuu Lian Terng, and series was The uncertainty principle. The Brian White. titles of the individual lectures were The SAK Complex analysis, JOHN R. QUINE, Florida principle, Schrodinger operators, Finer cutting, State University. The speakers were Carlos A. and Approximate diagonalization. The presiding Berenstein, B. A. Case, J. A. Cima, David Drasin, officers at the four lectures were Julia B. Robinson, David H. Hamilton, Linda Keen, Albert E. Livingston, Elias M. Stein, Linda P. Rothschild, and Carlos E. T. H. MacGregor, Peter A. McCoy, Sanford Miller, Kenig. B. G. Osgood, Dorothy B. Shaffer, Herb Silverman, Retiring Presidential Address. The retiring E. Silvia, and David E. Tepper. presidential address was delivered by ANDREW Representation theory and automorphic forms, M. GLEASON of Harvard University, who retired J. A. SHALIKA, Johns Hopkins University. The as president of the Society on December 31, 1982. speakers were Avner Ash, Leslie Cohn, Y. Flicker, Professor Gleason's title was Some remarks on the B. Brent Gordon, A. W. Knapp, I. Piatetski-Shapiro, prime number theorem. He was introduced by Steve Rallis, Paul J. Sally, Jr., Freydoon Shahidi, President Robinson. J. J. A. Shalika, D. Shelstad, Birgit Speh, and Gregg Birkhoff Prize. The 1983 George David Birkhoff Zuckerman. Prize in Applied Mathematics was awarded to PAUL Topology of algebraic and analytic varieties, R. GARABEDIAN of the Courant Institute of ALPHONSE VASQUEZ. The speakers were James Mathematical Sciences, New York University. Further C. Alexander, Paul Baum, William Browder, Edwin details may be found on pages 138 and 139 of the Connell, Howard Garland, Robert Hardt, Peter February 1983 Notices. Haskell, George R. Kempf, Henry B. Laufer, Ronnie Lee, Richard Mandelbaum, Jack Morava, Alphonse T. Invited Addresses. By invitation of the Program Vasquez, Karen Vogtmann, and Steven H. Weintraub. Committee, there were seven invited one-hour addresses. The names of the speakers, their Model theory, CAROL WOOD, Wesleyan Univer­ affiliations, and the titles of the talks were as follows. sity. The speakers were Steven A. Buechler, Zoe Chatzidakis, Kevin J. Compton, Lou van den Dries, MICHAEL AIZENMAN, Rutgers University, New Laurence Kirby, Julia F. Knight, L. Lipshitz, James Brunswick, Stochastic geometry in quantum field Loveys, Angus Macintyre, Alan H. Mekler, Anand theory and classical statistical mechanics. Pillay, Mike Prest, David Rosenthal, Dan Saracino, BRADLEY EFRON, Stanford University, Mathe­ James Schmerl, and Rick L. Smith. matics, statistics, and the modern computer. MICHAEL H. FREEDMAN, University of Califor­ Contributed Papers. There were four sessions nia, San Diego, Four-dimensional manifolds. for contributed ten-minute papers. These were as follows: Session on Topology, session on Differential DAVID GIESEKER, University of California, Los Equations, session on Analysis and a general session. Angeles, Geometric invariant theory and moduli problems in algebraic geometry. Other Organizations. The Association for Women BENEDICT H. GROSS, Brown University, Con­ held an informal session on Sunday in Mathematics structing rational points of infinite order on elliptic to 9:30. from 8:30 curves. Raymond G. Ayoub ROGER E. HOWE, Yale University, Aspects of University Park, Pennsylvania Associate Secretary harmonic analysis on the Heisenberg group: dual pairs, theta functions, classical invariant theory. NEIL J. A. SLOANE, Bell Laboratories, Murray The Annual Meeting in Denver Hill, The Leech lattice. The presiding officers at these seven lectures were The January 1983 Joint Mathematics Meetings, R. 0. Wells, Jr., Andrew M. Gleason, Linda Keen, including the 89th Annual Meeting of the American Carlos E. Kenig, Carlos J. Moreno, Philip C. Kutzko, Mathematical Society, the 66th Annual Meeting of and Andrew M. Odlyzko. the Mathematical Association of America, and the Special Sessions. By invitation of the same 1982-1983 Annual Meeting of the Association for committee, there were twelve special sessions of Symbolic Logic, were held January 5-9, 1983, in selected twenty-minute papers. The topics of these Denver, Colorado. There were 2,027 registrants, special sessions, the names and affiliations of the including 1,491 members of the Society. mathematicians arranging them, and final lists of Fifty-sixth Josiah Willard Gibbs Lecture. The speakers are as follows. 1983 Gibbs lecture was presented by SAMUEL Proof theory, IRVING H. ANELLIS, McMaster KARLIN of Stanford University. Professor Karlin University and GREGOREI E. MINe, Leningrad. spoke on Mathematical models and controversies Irving H. Annellis, Michael Beeson, George Boolos, of evolutionary theory. He was introduced by Julia Raymond D. Gumb, Leon Henkin, Gerhard Jager, B. Robinson, president of the Society. J.P. Jones, Hugues Leblanc, E. W. Madison, Robert Colloquium Lectures. A series of four Colloquium P. Marble, T. G. McLaughlin, G. E. Mine, (by proxy), Lectures was given by CHARLES L. FEFFERMAN Ugo Moscato, Andrej Seedrov, Jonathan P. Seldin, of Princeton University. The title of this lecture Wilfried Sieg, Stephen G. Simpson, M. E. Szabo,

461 Gaisi Takeuti, G. Usberti, Albert Visser, and Hao Pseudo-differential operators and applications, Wang. DUONG HONG PHONG, Columbia University. Automatic theorem proving, WOODROW W. M. S. Baouendi, William Beckner, Steve Bell, David BLEDSOE, University of Texas, Austin. Peter Catlin, David K. Cohoon, C. Robin Graham, Victor B. Andrews, W. W. Bledsoe, Robert S. Boyer, Guillemin, David E. Gurarie, David Jerison, C. E. D. Lankford, Douglas B. Lenat, Donald W. Loveland, Kenig, Joseph J. Kohn, Richard Melrose, Linda John McCarthy, Derek Oppen, Hao Wang, and Preiss Rothschild, E. M. Stein, Michael E. Taylor, F. L. Wos. The Automatic Theorem Proving Prize Treves, and Steven M. Zelditch. {sponsored by the International Joint Conference on Number-theoretic algorithms, CARL B. POM­ Artificial Intelligence) was awarded to Hao Wang and ERANCE, University of Georgia. Duncan A. Lawrence Wos in an informal ceremony which was Buell, Joseph L. Gerver, Richard K. Guy, Jeffrey part of this session. C. Lagarias, Louis Monier, Paul Pritchard, J. L. Representation theory of finite groups of Lie Selfridge, Gustavus J. Simmons, Jeffrey W. Smith, type, CHARLES W. CURTIS, University of Oregon. Olaf P. Stackelberg, Randy Tuler, Samuel S. Dean Alvis, Richard Boyce, Leonard Chastkofsky, Wagstaff, Jr., Paul S. Wang, and Marvin C. E. Cline, James E. Humphreys, K. McGovern, Brian Wunderlich. Parshall, Gary M. Seitz, Stephen D. Smith, Bhama Operator algebras and operator theory, NOR­ Srinivasan, John Brendan Sullivan, and David B. BERTO SALINAS, University of Kansas. Charles Surowski. A. Akemann, William Arveson, Charles A. Berger, Diophantine problems and analytic number John W. Bunce, Man-Duen Choi, L. A. Coburn, Raul theory, P. D. T. A. ELLIOTT, and WOLFGANG Curto, Kenneth R. Davidson, Ronald G. Douglas, Ed­ M. SCHMIDT, University of Colorado, Boulder. ward G. Effros, C. Foia§, Frank Gilfeather, Domingo Krishnaswami Alladi, Ram P. Bambah, David A. Herrero, Jon Kraus, David R. Larson, Cecelia W. Boyd, W. Dale Brownawell, Peter Bundschuh, Laurie, Robert F. Olin, Vern I. Paulsen, C. Pearcy, W. W. L. Chen, Thomas W. Cusick, Harold G. Marc A. Rieffel, and Claude Schochet. Diamond, John B. Friedlander, D. A. Goldston, Heini History of mathematics, ARTHUR SCHLISSEL, Halberstam, Grigori Kolesnik, Jeffrey C. Lagarias, John Jay College of Criminal Justice, City University D. J. Lewis, Helmut Maier, Julia Mueller, Melvyn B. of New York. Joseph W. Dauben, John A. Dutton, Nathanson, A. M. Odlyzko, Charles F. Osgood, Rob Walter Kaufmann-Buhler, Robert E. O'Malley, Jr., Tubbs, Michael D. Vose, and Peter Warkentin. Esther Portnoy, Arthur Schlissel, and John A. Applied category theory, JOHN W. GRAY, Synowiec. University of Illinois, Urbana-Champaign. Michael Contributed Papers. There were thirty-eight Barr, Andreas Blass, Marta Bunge, Peter Freyd, sessions of contributed ten-minute papers, for which Andre Joyal, Anders Kock, J. Lambek, D. M. Latch, the following mathematicians served as presiding Michael Makkai, Louis D. Nel, Joan Wick Pelletier. officers: G. L. Alexanderson, Steve Armentrout, Bruce Monotonicity methods in differential equations, W. Atkinson, G. Robert Blakley, William E. Briggs, A. G. KARTSATOS, and MARY E. PARROTT, Leonard Chastkofsky, W. Wistar Comfort, Raul Center for Applied Mathematics, University of South Curto, Frank R. DeMeyer, Nicolae Dinculeanu, A. W. Florida. P. W. Bates, S. R. Bernfeld, Dennis Goodman, Benedict H. Gross, Stanley P. Gudder, W. Brewer, J. A. Burns, Paul W. Eloe, Jerome A. Henry G. Hermes, Craig L. Huneke, Gangaram S. Goldstein, John R. Haddock, W. A. Kirk, K. Kunisch, Ladde, Jonathan D. Lubin, Albert T. Lundell, David R. Kent Nagle, M. Zuhair Nashed, Andrew T. Plant, J. Lutzer, Eugene L. Madison, Leon R. McCulloh, Alexander Ramm, Samuel M. Rankin III, Simeon Kathy McGovern, Richard S. Millman, Arlan B. Reich, James T. Sandefur, Pierre A. Vuillermot, and Ramsay, Lawrence W. Riddle, Peter Rosenthal, James R. Ward, Jr. Kenneth A. Ross, Hugo Rossi, Neal J. Rothman, Abstract adjoints and boundary problems, SUNG David Sachs, David A. Sanchez, John L. Selfridge, J. LEE, University of South Florida, and M. Neil J. A. Sloane, Joel A. Smaller, Daniel W. Stroock, ZUHAIR NASHED, University of Delaware. R. C. Ruth Rebekka Struik, J. Jerry Uhl, Jr., Samuel S. Brown, Patrick J. Browne, Earl A. Coddington, Wagstaff, Jr., Paul S. Wang, and Arthur T. White 11. G. J. Etgen, K. Gustafson, Werner Haussmann, Of the 316 ten-minute papers listed in the program Ismael Herrera-Revilla, J. W. Jerome, Athanassios of the meeting, 30 were withdrawn, so that 286 G. Kartsatos, Allan M. Krall, Kurt Kreith, V. ten-minute papers were actually presented. Lakshmikantham, Sung J. Lee, Lance L. Littlejohn, Other Events. A special address, The National W. S. Loud, Thomas R. Lucas, Mansuk Song, and Science Foundation: Policies and programs for Bjorn Textorius. research in the mathematical sciences, was given Function-theoretic methods in differential equa­ by EDWARD A. KNAPP, Director of the National tions, PETER A. McCOY, U. S. Naval Academy. Science Foundation. {See pages 140-144 of the James L. Buchanan, Robert P. Gilbert, Deborah February 1983 Notices). Tepper Haimo, E. P. Hamilton, Ralph E. Kleinman, A panel discussion, sponsored by the Society's Mark A. Kon, C. Wayne Mastin, Attila Mate, Peter Committee on Employment and Educational Policy A. McCoy, John W. Neuberger, Gilbert G. Walter, {CEEP) and the Mathematical Association of America and Ahmed I. Zayed. {MAA), was held on Freshmen Mathematics: Are

462 there alternatives to calculus? (See pages 166-171 Associate Secretary (two positions) of the February 1983 Notices.) Robert M. Fossum Hugo Rossi Council and Business Meetings. The reports Editorial Committees of the Council and Business Meetings held during American Journal Richard B. Melrose the annual meeting were given on page 231 of the Bulletin Hyman Bass February 1983 Notices. Colloquium Barry Mazur Mathematical Reviews Melvin Hochster Paul T. Bateman Mathematical Surveys Urbana, Illinois Associate Secretary and Monographs Gian-Carlo Rota Mathematics of Computation (two positions) Walter Gautschi John E. Osborn April Couneil Meeting Proceedings (three positions) Irwin Kra Daniel W. Stroock April Council Meeting. The Council met on 14 Richard R. Goldberg April 1983 at 5:00 p.m. in the Gold Ballroom of Transactions (two positions) the New York Statler Hotel. There were nineteen Tilla Klotz Milnor Joel A. Smaller members in attendance. President Julia B. Robinson Committee to Monitor Problems in Communication was in the chair. (two positions) The Council approved the election of Melvin Marian B. Pour-El Lynn A. Steen Hochster and Elias M. Stein to the Executive Nominations by petition for the positions of Vice­ Committee of the Council. President and Member-at-Large will be considered by The President announced the names of six the council.1 candidates for four places on the Nominating The Council received the report of the Treasurer Committee in the election of 1983. They are: with the minutes of the meeting. (An abbreviated A. T. Bharucha-Reid Tsit-Yuen Lam version appears at the beginning of this section of Heini Halberstam Robert P. Langlands AMS Reports and Communications.) Alistair H. Lachlan Harold M. Stark The Council changed the eligibility requirements (Nomination of candidates by petition is in order.1 for the AMS Postdoctoral Fellowships. The compe­ Should these petitions not bring the number of tition that closes in December 1983 will be open to candidates to at least eight, the President will name persons in early mid-career, ordinarily interpreted as additional candidates.) four to ten years past the Ph.D. degree. (Details will The Nominating Committee proposed and the be announced in the August Notices.) Council approved the following candidates for office The petition table, which has been available at a in the election of 1983: few recent meetings, will ordinarily be available at President Elect Irving Kaplansky meetings during the coming year. The intent is that it shall be possible for interested parties to collect Vice President (two positions) signatures on petitions concerning the violation of Paul J. Cohen Jacob T. Schwartz human rights of individual mathematicians. All E. R. Kolchin Stephen Smale responsibility for petitions rests with the sponsors. Trustee (one position) The Council adjourned at 7:20p.m. Theodore W. Gamelin Paul J. Sally, Jr. Member-at-Large (five positions) Everett Pitcher Michael G. Crandall Jean E. Taylor Bethlehem, Pennsylvania Secretary David Eisenbud William P. Thurston Carlos E. Kenig Floyd L. Williams Dusa McDuff

1See the column titled "1983 AMS Elections" in this issue of the Notices, and pages 178-179 of the February 1983 issue or 308-309 of the April 1983 issue.

463 Classified Advertisements

SUGGESTED USES for classified advertising arc books or lecture notes for sale, books being sought, positions available, exchange or rental of houses, and typing services. THE RATE IS $.55 per word with a minimum of $5.00. The same ad in 7 consecutive issues is $3.50 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. For an additionJ.I $10.00 charge, announcements can be placed anonymously. Correspon­ dence will be forwarded.

DEADLINES arc 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 arc accompanied by a statement that the institution does not discriminate on these grounds, whether or not it is subject to U.S. laws. Dctdils and specific wording may be found on page 98 of the January 1983 issue of the Notices. SITUATION WANTED advertisements arc accepted under terms spelled out on page A-355 of the April 1979 Notices. (Deadlines arc the same as for other classi­ fied advertisements.)

SEND AD AND CHECK TO: Advertising Department, AMS, P.O. Box 6248, Providence, Rhode Island 02940. Individuals are requested to pay in advance, in· stitutions are not required to do so.

FOR ADDITIONAL CLASSIFIED ADVERTISING, SEE PAGE 438.

POSITIONS AVAILABLE Department of Mathematics and Computer Science Fredonia State College FLORIDA INTERNATIONAL UNIVERSITY Tenure-track position effective August 29, 1983. Ph.D. MIAMI, FLORIDA in Mathematical Sciences and a strong background in Com· The Department of Mathematical Sciences anticipates having puter Science are required. Responsibilities will include teaching intermediate level computer science courses and several tenure-track positions at the level of Assistant Profes· junior-senior level mathematics courses. Rank and salary will sor starting in August 1983. Candidates should possess Ph.D. be commensurate with qualifications and experience. Ex· degree in Mathematics. Duties include teaching at the under· cellent facilities-86800, Heath LS 1-11 and a number of graduate and beginning graduate level, research and service. micro-computers. Evidence of teaching ability and research potential is desir· Fredonia, with an enrollment of 5,000 is located in able. Preferred areas of specialization are in combinatorics, scenic Chautauqua County, western-most in NYS. Please mathematical logic/recursion theory, numerical methods, send resume and three references to: Dr. Albert D. Polimeni, probability or algebra. Qualified candidates in other areas Chairman, Department of Mathematics and Computer Sci­ will be considered. Salary is competitive. Applicants should ence, SUNY, College at Fredonia, NY 14063. AA/EOE. send vitae and three letters of reference to: Professor Robert C. Fisher St. Mary's College of Maryland Department of Mathematical Sciences Natural Sciences and Mathematics Division Florida International University St. Mary's City, Maryland 20686 Tamiami Campus, Miami, FL 33199 Public coed liberal arts college, 68 miles southeast of Florida International University is a member of the State Washington, D.C., has several openings in mathematics, at University System of Florida and is' an Affirmative Action/ least one at the Associate Professor/Full Professor rank. Equal Opportunity Employer. Current ceiling salary for full professor is $35,516; Associate Professor is $30,160; Assistant Professor $24,915. Candidate should have a strong interest in undergraduate UNIVERSITY OF CALIFORNIA, RIVERSIDE teaching and should be interested in participating in develop­ The Department of Mathematics of the University of ment of a strong mathematics major. Normal teaching load California, Riverside, encourages applications for one tenure· is 12 credit hours (three courses) per semester. Summer track position and one temporary position effective Fall teaching is usually available. Send resume and names of 1983. Both positions are at the level of Assistant Professor. three referees to Rosemary R. Hein, Chairwoman, Science The Department prefers to fill the tenure-track position Division, St. Mary's College of Maryland, St. Mary's City, with a person who works in some aspect of Topology and MD 20686. AA/EOE who can function effectively in both our Mathematics and Computer Science Instructional Program; however, we will consider applicants from all research areas within Mathe· COLLEGE OF CHARLESTON matics and Computer Science. Significant research accom· Department of Mathematics, Charleston, SC 29424 plishment or exceptional research potential and evidence of good teaching ability are required. The temporary position ASSISTANT/ASSOCIATE PROFESSORS. is open to applicants from all research areas within Mathe· Two tenure-track positions, available 8-22·83. Teaching in a matics and Computer Science, who demonstrate in both re· liberal arts, state-supported institution of 5000 students search and teaching. When it is mutually agreeable the located in downtown Charleston, S.C. Requirements: position is extendable to a second year. Please send resume, Ph.D. in mathematics or related field, strong commitment publications list, and a few selected reprints or preprints to undergraduate instruction and serious interest in contin· and have at least 3 letters of recommendation sent to: uing research. The College of Charleston is an Affirmative Albert R. Stralka, Chairman Action and Equal Opportunity Employer and specifically Department of Mathematics encourages applications from women and minorities. The University of California, Riverside Riverside, CA 92521 salary depends on experience and is competitive in the national market. Please send a vita and three letters of The University of California, Riverside, is an equal oppor­ tunity/affirmative action empolyer. recommendation to Professor W. L. Golightly, Chairman.

464 POSITIONS AVAILABLE LOYOLA UNIVERSITY of New Orleans invites applica· tions for two tenure-track positions teaching mathematics. LECTURER positions available starting Fall 1983 to teach A Ph.D. or A. B. D. in Mathematics or Computer SCience undergraduate courses. Minimum qualification is Master's is required. New Orleans is a sunbelt city famous for Mardi Degree in mathematics or related areas with preference in Gras and cuisine. Loyola is a small, selective Liberal Arts areas of statistics or computer science algebra. Pay is approx· University famous for quality education and personal inter· imately $600 per credit hour taught. Ideal for someone on action among students and faculty. Candidates should send leave. Send vita to Arthur Sagle, Natural Science Division, resumes and references to: University of Hawaii at Hilo, 1400 Kapiolani Street, Hilo, W. S. Curran, Dept. of Mathematical Sciences HI 96720. Loyola University, New Orleans, LA 70118 (504) 865·3340 Faculty of Science Opening Applications will be received until position is filled. 1983/1984 An equal opportunity /affirmative action employer.

An independent Arab University in the Israeli-occupied FOR SALE West Bank of Jordan has the following faculty openings for the academic year 1983/1984 in the field of: Mathematics, 9-LINE GO SETS. Suitable for coffeehouse, bar, home, park. preferred areas of specialization: Topology, Applied or pure Plastic stones from Japan, our photocopyable paper board Mathematics, Algebra and Analysis, and Computer Science. with see·thru plastic jacket, Chinese version of rules written Greene English is the basic language of instruction and candi· for beginners. $6 per set. Rainbow Go Goods, 33 dates should have a Ph.D. or a Master's Degree. Starting Ave., Aberdeen, MD 21001. annual salary for Ph.D. 4414 JDs., approximately $12,433, and for Masters Degree 2680 J Ds., approximately $7,550. MATH SCI PRESS, 53 Jordan Rd., Brookline, MA 02146, Higher salaries are offered depending on experience. Fringe 617·738·0307. Announcing new series: SYSTEMS, IN FOR· benefits include air ticket and relocation allowance for new MATION AND CONTROL. First volume: Geometry and faculty members, accident and health insurance, cost of identification workshop, Eds., P. Caines and R. Hermann; $23. living coverage. SALE: 40% reduction on titles in Lie Groups and lnterdisci· plinary Mathematics series. List in Oct. '82 Notices. All applications should include resume and be addressed to: Dean of the Faculty of Science Birzeit University P.O. Box 14 Birzeit FOR ADDITIONAL CLASSIFIED ADVERTISING, West Bank SEE PAGE 438. Via Israel

EDITORIAL MANAGER

The Mathem~tical Association of America has an opening for an Editorial Manager (EM), at its headquarters in Washington, D.C., beginning July I, 1983, or as soon as possible thereafter. The EM will supervise an editorial department responsible for copy editing and layout for three journals and several books per year. In addition to supervising 2-3 editorial assistants the EM will be expected to participate in the editorial process and work closely with journal editors and authors. Qualifications for this position include mathematical training to the master's degree level or beyond, demonstrated writing skills, and professional experience, or its equi\·alent, in editing mathematical manuscripts. Salary will be commensurate with the experience and training of the candidate. Applicants should send a curriculum vitae and should arrange to have three letters of recommendation sent directly to: Dr. Marcia P. Sward, Associate Director MATHEMATICAL ASSOCIAT!O]'; OF AMERICA 1529 Eighteenth Street, N.W. Washington, D.C. 20036

The Mathematical Association of America is an equal opporrunit:- emplm·cr.

465 Important contributions to n1odern mathe~natical scholarship ••• Three Volumes in the PURE AND INTRODUCTION APPLIED MATHEMATICS Series • •• TO NUMERICAL SEMI-RIEMANNIAN COMPUTATIONS GEOMETRY Second Edition WITH APPUCATIONS TO JAMES S. VANDERGRAFT RELATIVITY A Volume in the COMPUTER SCIENCE BARRETT O'NEILL AND APPLIED MATHEMATICS Series A wide-ranging audience will appreciate this PRAISE FOR THE FIRST EDITION lucid exposition of semi-Riemannian geometry. "This is an excellent attempt to introduce stu­ The principal cases covered are Riemannian dents to numerical methods from a practical geometry, where the metric is positive definite, standpoint and imparts more insight than is and Lorentz geometry (the geometry used in usual.... "-Ian Robinson in AUSTRALIAN the theory of relativity). After establishing the COMPUTER requisite language of manifolds and tensors, JOURNAL the author develops the foundations of semi­ This revised and updated Second Edition pres­ Riemannian geometry in the simplest way, and, ents basic computer-oriented methods for solv­ without regard to signature, allows the Rie­ ing a broad class of numerical problems. The mannian and Lorentz cases to appear as needed. problems addressed include: evaluation of March 1983, 480 pp., $45.00 functions; numerical differentiation and inte­ ISBN: 0-12-526740-1 gration; polynomial and spline interpolation; !east squares approximations; solution of non­ linear equations and systems of linear equa­ UNIFIED INTEGRATION tions; and solutions of ordinary differential E. J. McSHANE equations. Addressing the need for an easily understood, May 1983, c. 369 pp., in preparation widely applicable mathematical integral as a ISBN: 0-12-711356-8 university-level teaching tool, this volume pro­ poses the use of a modified version of an inte­ VOLTERRA INTEGRAL gral devised by J. Kurzweil. This integral, pos­ sessing the same level of sophistication as the AND DIFFERENTIAL Riemann integral, is as widely applicable and EQUATIONS effective as the Lebesgue integral. Chapter 1 T.A.BURTON presents the integral in its simplest setting A Volume in the MATHEMATICS IN (real-valued functions of a single real vari­ SCIENCE AND ENGINEERING Series able), and subsequent chapters develop the material in a manner comprehensible to all un­ This hook presents a first treatment of Vol­ dergraduates with an elementary knowledge terra equations entirely from the viewpoint of of calculus. the investigator of stability theory of ordinary differential equations. The author covers theory, June 1983, c. 579 pp., in preparation ISBN: 0-12-486260-8 applications, and the history of Volterra integral and integrodifferential equations. Each topic is introduced in terms of ordinary differential SYSTEM THEORY equations and then extended to Volterra equa­ A HILBERT SPACE APPROACH tions. This approach enables the reader to par­ A VRAHAM FEINTUCH lay expertise in ordinary differential equations and RICHARD SAEKS to integral and integrodifferential equations. This hook presents an operator theoretic ap­ September 1983, c. 326 pp., in preparation ISBN: 0-12-147380-5 proach to linear systems theory. In Part I the Send payment with order and save postage and handling. authors discuss the necessary operator theo­ Price• are in U.S. dollars and are subject to change retic results, including the theory of operator without notice. integrals along chains of suhspaces and the theory of nest algebras. Topics covered in this Academic Press, Inc. part are those considered necessary for sys­ A Subsidiary of tems theoretic problems. Parts II-IV are de­ Harcourt Brace Jovanovich, Publishers voted to the formulation of a theory of systems New York • London • Toronto • Sydney defined in a Hilbert resolution space setting. San Francisco 1982,320 pp., $39.50 ISBN: 0-12-251750-4 111 FIFTH AVENUE, NEW YORK, N.Y.10003 313332

466 Oxford------~~

Collected Papers of The Boole-De Morgan J.E. Littlewood Correspondence, 1842-1864 Volumes 1 and 2 Edited by G.C. SMITH, Monash Editedby].W.S. CASSELS, etal., University. For 22 years George Boole London Mathematical Society. Historians and Augustus De Morgan corresponded of mathematics and science will be partic­ on logic, differential equations, and proba­ ularly interested in these two volumes bility. Their letters-all90 still in exist­ comprised of the papers of J. E. ence-are collected here and chronicle Littlewood who, with G.H. Hardy, important advances each man made, established an important school of mathe­ while providing a biographical and histori­ matical analysis in England in the first half cal picture of literary, political, social, and of this century. religious influences of the time. (Oxford Vol. 1 March 1983 996 pp.; Logic Guides) frontis. $125.00 1982 156 pp. $44.00 Vol. 2 March 1983 720 pp.; frontis. $125.00 Formal Number Theory and Computability A Workbook Polyharmonic Functions ALEC FISHER, University ofEast N. ARONSZAJN; T.M. CREESE, Anglia, Norwich. A first short course in University of Kansas, and L.J. LIPKIN, mathematical logic for students of mathe­ University of North Florida. First intro­ matics, theoretical computer science, and duced as "harmonic functions of infinite philosophy, this book proves Godel's order," the polyharmonic functions are a incompleteness results for elementary subclass of the analytic functions. Their number theory and in the process, eluci­ importance derives in part from their dates the distinctive character of mathe­ tendency to exhibit globally properties matical logic. The workbook format which analytic functions exhibit in general integrates hundreds of exercises into the only locally. (Oxford Mathematical text; model solutions are appendixed. Monographs) (Oxford Logic Guides) May 1983 320pp. $59.00 1982 200 pp. cloth $37.00 paper $12.50

Prices and publication dates subject to change.

Return------· to: Oxford University Press Box 900, 16-00 Pollitt Drive Fair Lawn, New Jersey 07410 Please send me the following books, in the quantities I've indicated: Cassels: Collected Papers of]. E. Littlewood Vol. 1 __ $125.00 Vol. 2 __ S125. 00 Aronszajn; Creese, Lipkin: Polyharmonic Functions _S59.00 Smith: The Boole-De Morgan Correspondence, 1842-1864 _M4.00 Fisher: Formal Number Theory and Computability cloth __ S37. 00 paper __ $12.50 I enclose a check for $ or, charge my credit card: Visa# MasterCard# (Interbank# ______Expiration Date Signature ______(IMPORTANT! Credit card orders not valid without this information) This offer applies only in the U.S. All orders must be prepaid. Calif. residents add sales tax. Books may be returned within 30 days for a full refund. Name ______Address•------City·------State ______Zip ____ 83-444 OXFORD UNIVERSITY PRESS 200 Madison Avenue, :'~Jew York, New York 10016

467 Summer List of Applicants Instructions for Applicant Form on facing page The form. Forms submitted by job applicants who attend the August meetings in Albany will be posted. The first impression a prospective employer has of an applicant may be based on the appearance of this form. 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 tory results may be obtained using a ribbon made of nylon or other woven fabric if suitable care is exer­ cised. It is important that the keys be clean and make a sharp, clear impression. Use a correcting typewriter or correction tape or fluid if necessary. Submit the original typed version only. Hand lettered forms are acceptable if prepared carefully. 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 corresponding items on the form and the strip. Address forms to the Mathematics Meetings Hous­ ing Bureau, P. 0. Box 6887, Providence, RI 02940. The deadline for receipt is July 1, 1983. See pages 406 and 412 for more information.

@ Specialties

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 FA = Functional Analysis FI = Financial Mathematics FL = Fluid Mechanics GE = Geometry HM = History of Math LO = Logic MB = Mathematical Biology ME = Mechanics MO = Modelling MP = Mathematical Physics MS = Management Science NA = Numerical Analysis NT = Number Theory OR = Operations Research PR = Probability SA = Systems Analysis ST = Statistics TO = Topology

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468 Summer List of Applicants Mathematical Sciences Employment Register August 1983 Albany, New York (Please see instructions on facing page)

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@Specialties,______@Career objectives and accomplishments ACADEMIC: D Research, D Teaching NON-ACADEMIC: D Research and Development, D Consulting, D Supervision Near-term career goals'------

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

Family Name First Name Mailing Address SUMMARY STRIP I I I I I I I I I I I I I' I I I I I I I I I' 1"1-.1..;::,1 1"1-,-1 .,...,, 1"1-,-1 .,...,, 1---,-l-,-1 -,--1 1"1-,-1 .,.,I I' Addreu (cant' 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 1, ITJ [I] [I] ITJ rn. @ Career objectives @M~~~:!t@ Yr. @ Institution @ @ ® @Most recent employer [I] ITJ ITJ ITJ rn. rnrn. ITJ, I I I I I I I I I I 1. ITJ. rn. ITJ. I I I I I I I I I TI, @ Present dutiea (!) Desired duties 0 !~~}~r~le © I I I I I I I I I I 1, ITTIJ. ITllJ. CD/OJ D

469 Making Mathematical Theory More Accessible

I D LINEAR AND NONLINEAR D PRINCIPLES OF REAL ANALYSIS I DIFFERENTIAL EQUATIONS S.C. Malik, University of Delhi, India I.D. Huntley & R.M. Johnson, Paisley Designed to help students make a successful College of Technology transfer from elementary calculus to advanced This straightforward text avoids intricate analysis, this text reviews the properties of methods and concentrates on qualitative rational and real numbers before covering methods of solution which serve as excellent such areas as topological framework, sequen­ alternatives to the excessive use of computers, ces and series of numbers, continuity, differ­ especially in industrial applications. Includes entiation, and much more. many worked examples and problems. (0-27369-0) 1982 379 pp. $19.95 (0-27413-1) May 1983 0 INTRODUCTION TO GENERAL approx. 200 pp. $49.95 (cloth) (0-27 420-4) $22.50 TOPOLOGY (paper) Kapil D. Joshi, Indian Institute of Tech­ D HANDBOOK OF INTEGRAL nology, Bombay TRANSFORMS OF HIGHER An accessible graduate-level introduction TRANSCENDENTAL FUNCTIONS: designed for the average student with limited Theory and Algorithmic Tables mathematical preparation for the study of 0.1. Marichev, Byelorussian State Uni­ topology. Stressing motivation and not mem­ versity, U.S.S.R. orization, the text carefully explains why each A systematic account of the modern theory of theorem and definition is natural and impor­ hypergeometric functions that describes in tant. Also features a chapter on category detail a simple method of evaluating a large theory, 30 figures, and many exercises. number of definite integrals of various special (0-27556-1) 1983 approx. 404 pp. functions-a method based on a convolution $19.95 theorem for Mellin transforms, properties of D HYBRID AND MIXED FINITE the Gamma-function, and the theory of ELEMENT METHODS residues. Wiley Series in Numerical Methods in (0-27364-X) 1983 336 pp. $79.95 Engineering D PRIOR INFORMATION IN Edited by S.N. Atluri, Georgia Institute LINEAR MODELS of Technology, R.H. Gallagher, Univer­ Helge Toutenburg, Institute for Mathe­ sity of Arizona, & O.C. Zienkiewicz, Uni­ matics of the Academy of Sciences of the versity College of Swansea, Wales German Democratic Republic Presents 28 contributions by renowned "A very comprehensive summary"* that researchers on mathematics, mechanics, and shows how prior information can be used in the application of hybrid and mixed finite estimating coefficients of linear models. element methods to solid, fluid, and fracture Includes coverage of robustness of minimax mechanics. estimators, restricted least squares, and two­ (1-10486-8) 1983 approx.450pp. $89.95 stage least squares estimators. (*International Statistical Institute) (1-09974-0) 1982 192 pp. $39.95

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470 PREREGISTRATION AND HOUSING FORM, ALBANY, NEW YORK AMS Short Course Joint Mathematics Meetings MAA Minicourses August 6-7, 1983 Aueust 8-11, 1983 August 8-10, 1983 MUST BE RECEIVED IN PROVIDENCE NO LATER THAN JULY 1,1983 Please complete this form and return it with your payment to Mathematics Meetings Housing Bureau P.O. Box 6887, Providence, Rhode Island 02940, Telephone: (401) 272-9500, Ext. 239 DEADLINES: PREREGISTRATION: July 1, 1983 for preregistration fee(s) RESIDENCE HALL ROOM PAYMENT: July 1, 1983 (partial refunds only after july 15.) CANCELLATIONS: Preregistrations may be cancelled until August 5 by writing or calling the Mathematics Meetings Housing Bureau. (See above.) 50% of the preregistration fee(s) will be refunded if notification is received by this date. Confirmed residence hall reservations may be cancelled until july 15 and full payment will be refunded; however, after that date, only partial refunds will be allowed. CHANGES: Changes in arrival and departure dates must be made with the Mathematics Meetings Housing Bureau by August 5. (See address and number above.) After this date, please call message center number at Albany meeting. NOTE: All dues and meeting registration fees paid to AMS or MAA by professional mathematicians are tax deductible. REGISTRATION FEES Preregistration At Meeting (by mail prior to 7/1) JOINT MATHEMATICS MEETINGS Member of AMS, MAA, liME $38 $49 *Student, Unemployed or Emeritus $ 9 $12 Nonmember $58 $75 AMS Short Course Please affix AMS or MAA label here. Member/nonmember If none, complete 1-3 below. $25 $30 *Student or unemployed $ 5 $10 MAA MINICOURSES #1 through #6 (per course) $20 $20 "'All full·time students currently working toward a degree or diploma qualify for the student registration fees, regardless of income. The unemployed status refers to any person currently unemployed, actively seeking employment, and who Is not a student. It is not intended to include persons who have voluntarily resigned from their latest position. The emeritus status refers to any person who has been a member of the AMS or MAA for twenty years or more and Is retired on acc:ount of age from his or her latest position.

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472 Nonparametric statistical Inference, vols. 1and 11 edited by B. V. GNEDENKO, M. L. PURl and research, a colloquium on the subject was held in I. VINCZE Budapest, 23-27 June, 1980. COLLOQUIA MATHEMATICA SOCIETATIS JANOS These proceedings volumes contain a broad range BOLYAI, 32 of topics including testing and estimation, ranking The field of nonparametric statistics continues to and selection, empirical distributions and stochastic play an increasingly successful role in statistical processes. theory as well as in its applications. Nonparametric 1982. 910 pages. Set ISBN: 0-444-86196-3 methods are not only mathematically elegant, they Set Price: US $144.751Dfl. 340.00 also provide a variety of applications in several fields such as engineering, economics, agriculture, In the Socialist countries, available from: Kultura, meteorology and biometrics. To stimulate further Budapest. Riesz Spaces 11 by A. C. ZAANEN Operators. 14. Normed Riesz Spaces. 15. Order Con­ NORTH-HOLLAND MATHEMATICAL LIBRARY, 30 tinuous Norms. 16. Embedding in Biduals. 17. Ab· stract LP-·Spaces. 18. Compact Operators. 19. Orlicz This is Volume II of a detailed work on Riesz Spaces and Irreducible Operators. 20. Orthomor­ spaces (vector lattices). Volume I, written jointly phisms and f-Aigebras. Bibliography. Subject Index. with W.A.J. Luxemburg, appeared in 1971.

CONTENTS: Preface. Chapters: 11. Prime Ideal 1983. x + 720 pages. ISBN 0-444-86626-4 Extension. 12. Order Bounded Operators. 13. Kernel Price: US $68.001Dfl. 160.00 Near-Rings The Theory and its Applications. Revised Edition

by GUNTER PILZ " ... The book is very well written ... The presentation NORTH-HOLLAND MATHEMATICS STUDIES, 23 is clear" Zentralblatt fOr Mathematik Comments from the Press on the First Edition: CONTENTS: Chapters: 0. Prerequisites. Parts: I. Near-Rings for Beginners. 1. The Elementary " ... The book is well written, self contained and is Theory of Near-Rings. 2. Ideal Theory. II. Structure useful for beginner and also tor specialists in Theory. 3. Elements of the Structure Theory. algebra" 4. Primitive Near-Rings. 5. Radical Theory. Bulletin Mathematique de Ia Societe des Sciences Ill. Special Classes of Near-Rings. 6. Distributively Generated Near-Rings. 7. Transformation Near­ " ... The book is well organized and gives a quick Rings. 8. Near-Fields and Planar Near-Rings. and easy introduction into the field of near-rings. It 9. More Classes of Near-Rings. Appendix. will certainly contribute to the further development of the subject..." 1983. xii + 474 pages. ISBN 0-7204-0566-1 Mededelingen van het Wiskundig Genootschap Price: US $59.501Dfl. 140.00 Differential ceometry edited by GY. S06S and J. SZENTHE such as Riemannian and Finsler Geometry, theory of connections, fibre bundles, Lie groups, COLLOQUIA MATHEMATICA SOCIETATIS JANOS generalized spaces, applications in BOLYAI, various fields of 31 theoretical physics. This volume contains the detailed versions of talks 1982. 830 pages. ISBN 0-444-86197-1 delivered at the Colloquium on Differential Price: US $136.251Dfl. 320.00 Geometry, held in Budapest, 3-7 September, 1979. The scope of these lectures covers several In the Socialist countries, available from: Kultura, branches of Differential Geometry with applications Budapest.

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Ergebnisse der Mathematik, and Riemann-Roch theorem; and the proof of the Grothendiec-Riemann-Roch theorem. 3. Folge Only a first course in algebraic geometry is A Series of Modern Surveys in required to grasp the basic text, useful in the Mathematics study of algebraic geometry and number theory. by: Edited 1983 I approx. 512 pp. I Cloth 30.00 (tent.) S. Feferman, N.H. Kuiper, P. Lax, ISBN 0-387-12176-5 W. Schmid, J-P. Serre. J.L. Tits R. Remmert, Managing Editor Forthcoming volumes: Following five decades of successful pub­ lication, the first two volumes of the new Compact Complex Surfaces third sequence of this well-known series are W. Barth, C.A.M. Peters, A. van de Ven now available to the mathematics community. ISBN 0-387-12172-2 Each volume serves as a reliable reference, Foundations of Constructive Mathematics covering an important area of advanced Metamathematica/ Studies mathematics. And each guides the reader through the main developments and trends of M. Beeson current research, tracing the source of ideas ISBN 0-387-12173-0 and their relationship to other areas of Convexity in Complex Analysis mathematics. K. Diederich, J.E. Fornaess, R.P. Pflug Volume 1 ISBN 0-387-12174-9 Galois Module Structure of Etale Kohamologietheorie und Algebraic Integers Weilvermutung A. Frohlich E. Freitag, R. Kiehl ISBN 0-387-12175-7 This comprehensive volume provides a systematic account of the theory of Galois Partial Differential Relations module structure for rings of algebraic M. Gromov integers and its connection with Artin L­ ISBN 0-387-12177-3 functions. During the past decade this theory-has rapidly gained major significance Einhiillende Algebren in algebraic number theory. New problems C. Jantzen ~ are discussed. 0 LLI Q ISBN 0-387-12178-1 N '0:1' 19831262 pp.IC/oth $32.00 0\ g 0\ N o,"l Ill Q ISBN 0-387-11920-5 Discrete Subgroups of N Q ..J Liegroups < Q2 Volume 2 8 u IIJ~ G.A. Margulis z i= u ISBN 0-387-12179-X Ill c Intersection Theory Ill < tiJ "1:1 ~ '"C .. William Fulton LLI ·;;:: ...... To order write: Ill ::z::: 0 c This volume develops the foundations of ~ 1- ct: ~ Springer-Verlag New York Inc:. ::s"' intersection theory, and discusses its classical 175 Fifth Ave., New York, N.Y. 10010 < < 010~ I!) and modern applications. Some newer and tiJ ~ '0:1' ..c... z N &1, stronger theorems and significantly simpler .... ID ...."' 0 < >< "'Q proofs than those that have appeared in the u 0 Cl.. tiJ Q2 CCI past are included. Among them are a new u"' ....c blow-up formula, a stronger residual inter­ '+=0 LLI ::s 0 ~ 0 .... section formula, and the removal of a z < 0.: ~ projective hypotheses from intersection theory