Toronto Meetings (August 21- 26)- Page 413
Vl 0 0 Notices of the American Mathematical Society
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>s:: August 1982, Issue 219 ()Q s:: Volume 29, Number 5, Pages 401-496 "'~ ..... Providence, Rhode Island USA \D 00 N 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 the meet ing. Abstracts should be submitted on special forms which are available in many departments of mathematics and from the office of the Society in Providence. Abstracts of papers to be presented at the meeting must be received at the headquarters of the Society in Providence, Rhode Island, on or before the deadline given below for the meeting. Note that the deadline for ab stracts submitted for consideration for presentation at special sessions is usually three weeks earlier than that specified below. For additional information consult the meeting announcement and the list of organizers of special sessions. MEETING ABSTRACT NUMBER DATE PLACE DEADLINE ISSUE 797 October 30-31, 1982 College Park, Maryland AUGUST 27, 1982 October 798 November 12-13, 1982 Baton Rouge, Louisiana AUGUST 24, 1982 October 7?9 November 12-13, 1982 East Lansing, Michigan SEPTEMBER 13, 1982 November 800 November 19-20, 1982 Monterey, California SEPTEMBER 20, 1982 November 801 January 5-9, 1983 Denver, Colorado OCTOBER 12, 1982 January (89th Arinuitl Meeting) 1983 March 18-19, 1983 Norman, Oklahoma April 14-15, 1983 New York, New York April 29-30, 1983 Salt Lake City, Utah August 8-12, 1983 Albany, New York (87th Summer Meeting) January 25-29, 1984 Louisville, Kentucky (90th Annual Meeting) January 9-13, 1985 Anaheim, California (91 st Annual Meeting) January 21-25, 1987 San Antonio, Texas (93rd Annual Meeting)
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Volume 29, Number 5, August 1982
EDITORIAL COMMITTEE Ralph P. Boas, Ed Dubinsky Richard J. Griego, Susan Montgomery Mary Ellen Rudin, Bertram Walsh Everett Pitcher (Chairman) MANAGING EDITOR 402 Para-Differential Operators-Another Step Forward Lincoln K. Durst for the Method of Fourier, R. S. Strichartz ASSOCIATE EDITORS 406 Queries Hans Samelson, Queries Ronald L. Graham, Special Articles 407 News and Announcements SUBSCRIPTION ORDERS Subscription for Vol. 29 (1982): 411 Letters to the Editor $36 list, $18 member. The subscription 412 Election Information price for members is included in the annual dues. Subscriptions and orders 413 Future Meetings of the Society for AMS publications should be Toronto, August 23-26, 413 addressed to the American Mathematical Society, P.O. Box 1571, Annex Station, College Park, October 30-37, 455 Providence, Rl 02901. All orders must Baton Rouge, November 12-13, 457 be prepaid. East Lansing, November 72-73, 459 ORDERS FOR AMS BOOKS AND Monterey, November 19-20, 460 INQUIRIES ABOUT SALES, SUBSCRIP· Call for Topics, 461 TIONS, AND DUES may be made by Invited Speakers, 463; Special Sessions, 463; calling Carol-Ann Blackwood at Information for Organizers of Special 800·556-7774 (toll free in U.S.) between 8:00a.m. and 4:15p.m. eastern time, Sessions, 464 Monday through Friday. See page 17. 466 New AMS Publications CHANGE OF ADDRESS. To avoid 469 Special Meetings interruption in service please send address changes four to six weeks in 472 AMS Reciprocity Agreements (Supplement) advance. It is essential to include the member code which appears on the 473 Miscellaneous address label with all correspondence Personal Items, 473; Deaths, 473; regarding subscriptions. Visiting Mathematicians (Supplement), 474; INFORMATION ABOUT ADVERTISING Backlog of Mathematics Research Journals, 476 in the Notices may be obtained from Virginia Biber at 401-272-9500. 478 AMS Reports and Communications Treasurer's Report, 478; Recent CORRESPONDENCE, including changes of address ~hould be sent to American Appointments, 479; Reports of Past Meetings: Mathematical Society, P.O. Box 6248, Bryn Mawr, 480; Madison, 481; Officers and Providence, Rl 02940. Committee Members of the Society, 483 Second class postage paid at 487 Advertisements Providence, Rl, and additional mailing offices. Copyright © 1982 by the Classified Advertising, 487; American Mathematical Society. ElMS Subscription Forms, 489, 490; Printed in the United States of America. AMS Policy on Recruitment Advertising, 491 Para-Differential Operators- Another Step Forward for the Method of Fourier by Robert 8. Strichartz
The theory of partial differential equations where ap(x) = (8F f8up)(x, u(x), .. .). The linear (p.d.e.'s) is of central importance in both pure p.d.e. (**) depends on the particular solution and applied research. The theory of linear p.d.e. 's u of (* ). Bony was able to show that certain has now reached a mature stage of development. regularity properties of solutions of (*) are also Questions about existence, uniqueness, regularity possessed by u. Third, the method involves and propagation of singularities can be answered studying the Fourier transform of u, and so traces for large classes of equations, and we can often its ancestry directly back to Fourier's work on the match qualitative features of the solutions-such heat equation. Fourth, the proofs are relatively as local existence, smoothness, or having a well easy. The key ideas are conceptual rather than posed Cauchy problem-with formal properties computational, and the details of actually carrying of the equation. On the other hand, the theory out the proofs are not technically demanding. In of nonlinear p.d.e. 's is only beginning to emerge. this article I will explain the key ideas of the Since it is no secret that nature is usually method, but first I will review briefly the history nonlinear (in fact most of our favorite linear of Fourier's method in the recent past. equations, such as the wave equation, were derived A linear p.d.e. of order m can be written from oversimplified physical models in order to eliminate their nonlinearity) this is a welcome development. Of course much of the work being {1) Pu = ,L: aa(x{ ::z;) "'u(x) = f(x). done is very technical and specialized, and thus lal~m difficult for the nonexpert to appreciate; but there Substituting the Fourier inversion formula are aspects of the current work on nonlinear p.d.e.'s that are closely connected with other areas of mathematics and may serve to stimulate u(x) = {2!) ... I u.we•"'-ede developments far from their initial domain. In this article I will discuss one such development, where the theory of para-differential operators (para d.o.'s), which I believe should be of interest to the mathematical community (a survey of some and using the obvious relations rather different aspects of the theory of nonlinear p.d.e.'s, by L. Nirenberg has appeared [1]). Para-differential operators were very recently (:xr u(x) = (2!) ... 1u({)(i{)"'e'"'·ede introduced by Jean-Michel Bony [3] in order to prove some remarkable theorems about nonlinear leads to the equation partial differential equations. The results are remarkable for at least four reasons. First, they {2) (2!)"' I p(x, {)u({)e'"'·Ed{ = f(x) apply to the most general nonlinear p.d.e., (*) F(x, u(x), .. . ,(8/8x)f3u, .. . )= 0 where (with I.BI :::;; m). {3) p(x, {) = L: a .. (x)(i{)"' l<>l:::;;m The only assumption made is that F is a coo in function (or system), although it is clear that it ROBERT 8. STRICHARTZ received his Ph.D. would suffice to have F of class cr for r large 1966 from Princeton University. In 1966-1967 he enough. No special assumptions on the degree of was a NATO fellow at the Faculte de Science, nonlinearity or the type of the equation are made. Orsay, France. He was a C. L. E. Moore instructor Second, the method involves the natural idea of of mathematics at the Massachusetts Institute of using the linearization of the nonlinear function Technology, 1967-1969. Since 1969 he has been at F, which leads to the linear p.d.e. the Department of Mathematics, Cornell University, where he is currently a full professor. His major 13 research interests are harmonic analysis and partial (**) ,L: ap(x)(: ) u = g differential equations. lf31~m X
402 is called the full symbol of the differential operator second clue: solutions to nonconstant coefficient P. Thus the full symbol is obtained formally elliptic linear p.d.e.'s behave approximately like by replacing each 8j8xi by iei· Another impor solutions to the constant coefficient equations tant object is the top-order symbol, Pm(x, ~") = obtained by freezing the coefficients at a fixed ~l"'l=m a"'(x)(ie}"', where we retain only the point. highest order terms. The significance of Pm The theory of pseudo-differential operators is based on the idea that the highest order (,Pd.o.'s}, developed by Kohn-Nirenberg, Hor terms should somehow dominate the lower order mander, and Unterberger-Bokobza in the mid terms-an idea that must be used with caution 1960s, formalizes these ideas into a symbolic (it does not apply to Fourier's heat equation, for calculus of great power and simplicity. (A good example). Note that p and Pm are polynomials reference is Nirenberg's lecture [2].) This theory of degree at most m in the e variables, Pm was a refinement of Calderon and Zygmund's being homogeneous of degree m, and they are as calculus of singular integral operators, which had smooth in the x variables as the coefficients of the already been exploited by Calderon [6] to prove differential operator. uniqueness of the Cauchy problem for operators Now we ask the obvious question: What is with simple characteristics. A pseudo-differential gained by passing to the symbol form (2} of operator is defined to be any linear operator which the p.d.e.? A naive answer is that we had locally has the form (2}, where now the symbol better assume that the coefficients are constant p(x, €) does not have to be a polynomial in e (a"'(x) = aa independent of x) if we expect to but merely has to belong to a larger symbol gain anything. In that case p(x, e) = p(€) and class. Actually many different symbol classes have we deduce from (2} that p(e)u(e) = }(e). This been introduced, and their study becomes quite is indeed a great simplification over the original technical. Perhaps the simplest to describe is problem (1}, and we are tempted to "solve" it Hormander's class sm, which is the class of coo immediately by functions satisfying the estimates
u(x) = - 1- /P(€)-1 f(€)ei"'·ede. (27r}n i(:xr(:erp(x,e)i ~ cCJ<,fj(1+l€1r-l"'l Of course there are technical problems in in for all a, {3. It is easy to verify that symbols terpreting this solution: What right have we of linear partial differential operators (p.d.o.'s) of to assume u and f have well-defined Fourier order m are in sm (if the coefficients are C""}, transforms, and even so, what happens near the and that the reciprocal of the symbol of an elliptic zeroes of p(€)? Nevertheless, with the advent of p.d.o. will be in s-m if it is suitably modified Laurent Schwartz' distribution theory in the late for € in a neighborhood of the origin. The main 1940s, these technical problems were rapidly over point of the theory of '¢ d.o.'s is that there is a come, and a beautiful theory of general constant symbolic calculus in which operations on '¢ d.o.'s coefficient linear p.d.e.'s was developed based on are reduced to simpler operations on the symbols. Fourier's method. (Many books on the subject For instance, the composition Po Q of two '¢ d.o. 's exist; for instance [4 or 5].) whose symbol is given by But what about nonconstant coefficient linear p.d.e. 's? Since these operators are not diagonalized (4} p#q(x, €) ~ 7i[ p ox q. by .the exp~nentials eiz·€ (i.e., we do not have :L)a!)-1 (-i8)"' ( {) )"' Pe'"'·e = ce•z·€ for some constant c) they seem to "' be outside the natural domain of Fourier analysis. If P and Q are p.d.o. 's then the reader can Indeed if we take the Fourier transform of (2} we easily verify this composition law, the sum in now obtain (4} being finite since (8/8€)"'p vanishes for Jal greater than the order of p. In general the sum / q(.,- e. e)u(e)d€ = }(.,) in (4} is infinite, and gives only an asymptotic expansion of p#q; one only takes a finite number where q is the Fourier transform of p(x, €) in of terms, and asserts that the error is a symbol the x-variables, and this appears no simpler than of large negative order. This means that the the original p.d.e. Nevertheless, the development symbolic calculus will not furnish us with an exact of the theory of nonconstant coefficient linear calculation of the composition Po Q, but only p.d.e.'s during the 1950s and early 1960s led to at with an approximation up to any desired degree least two important clues that Fourier's method of smoothing operator (an operator T is said to be could still be significant. The first was that smoothing of order r if, roughly speaking, T f has the characteristics, the points where Pm(x, €) = 0 r more derivatives than !}. For many purposes, (and eof 0}, were important for understanding this kind of approximation is extremely useful, the singularities of the solutions. Equations with especially for understanding the singularities of no real characteristics are called elliptic, and have solutions to p.d.e. 's. only coo solutions (assuming the right-hand term In discussing singularities of functions we want I is C00). The study of elliptic equations led to the to be able to pinpoint the "direction" of the
403 singularity as well as the location. For this kind of operator, called para-multiplication, which the appropriate concept is micro-localization. A captures enough of the features of multiplication function f(x) is locally of class cr at a point to be a useful substitute, but which is at the same X= Xo, if '1/J f is cr for '1/J a C00 function not time a decent operator. To understand how to vanishing at xo and supported in a sufficiently do this we need to look at Fourier transforms. small neighborhood of xo. We will say f(x) is For simplicity assume all functions are bounded micro-locally of class cr at a point (x, e) = (xo, eo) and have compact support. Then by multiplying in the cotangent space if the Fourier transform by a smooth partition of unity on the Fourier of '1/J I is equal to the Fourier transform of a transform side we can write u = u-1 + E;;" Uk cr function in a conical neighborhood of eo (i.e. where the Fourier transform of Uk is supported in e/lel near eo/leo I). Roughly speaking this means the annulus ck = {2k ~ lei ~ >..2k} where :>.. is I is cr near Xo in the eo direction. If f is a suitable fixed constant, and u_1 is supported micro-locally cr at (xo, eo) and f is smoothed in the ball {lei ~ 2}. This decomposition is not in the directions orthogonal to eo, then it will unique, but for most purposes we can act as if it be cr locally. For a function to have a well were. Let us call it a dyadic decomposition of u. defined restriction to a hypersurface it suffices Many properties of the function u are expressible for f to be cr for r > 0 micro-locally in the in terms of dyadic decompositions. For example, direction of the normals to the hypersurface. Here is a typical theorem that follows simply from (5) u E cr {::::} lluk II Leo ~ c2-kr the .'1/Jd.o. calculus: A solution to (1) with f E (note: if r is an integer then we must use the C00 is micro-locally C00 at all noncharacteristic Zygmund-Lipschitz condition, points. The theorem is proved by using the '1/J d.o. calculus to invert Pu "micro-locally" near a noncharacteristic point, together with the basic observation that micro-local smoothness is well behaved under '1/J d.o. 's. One of Bony's main ~ clylr-1<>1 results is a qualified generalization of this theorem to nonlinear p.d.e.'s. for alllal = [r]- 1, in place of cr). It should be clear from the discussion so far Now let us look at the product uv of two that the linearity of the equations is essential functions written as E~- 1 E;:'=_1 UjVk· The for the application of Fourier's method. For individual terms UjVk fall naturally into three nonlinear equations, the only hope for extending classes: those with j and k approximately equal; these methods would seem to be to pass to the those with j considerably larger than k; and those linearization of the nonlinear equation. However with k considerably larger than j. Choosing an there are major obstacles to carrying out such a integer N (the half-width of the diagonal), these program. Perhaps the best way to understand three classes lead to the decomposition these obstacles is to look at an extremely simple uv = Tuv + Tvu + R(u, v) with example, the equation (u'? = f in one space dimension. Let us forget that we know how R(u, v) = L UjVk, to solve this equation, and ask whether we can li-ki
404 the near diagonal terms R(u, v), which we will easily that u satisfies the linear para-differential treat as an error term. What can we say about equation. R(u, v) if u is cr and v is c•? The products 2 Uk-vVk (with lvl :::; N) have Fourier transforms (9) Tpu =0 mod C (r-m). supported in the balls Bk = {lei :::; A2k} for Note that this is already an improvement over the suitable A, and so contribute only to the terms linearized p.d.e. ( **) where the error term g is of the dyadic decomposition R(u, v) = ~ Wj for only cr-m. which the annulus C1 intersects Bk; hence only if Using (9) we can extend regularity results for k 2: j - N0 for some fixed integer N0 . By (5) we linear p.d.e.'s to nonlinear p.d.e.'s. For example, have the estimate lluk-vvklloo :::; c2-(r+s)k and the micro-local smoothness in noncharacteristic so directions becomes the following Theorem: If u 2 II Wj II oo <_ '"""'LJ 2-(r+s)k < c2-(r+s)j is cr for r > m then u is micro-locally C r-m k?=J-No at all noncharacteristic points. This is proved by using the symbolic calculus of para-d.o.'s to if r + s > 0. Thus by (5) we have R(u, v) E cr+s. invert (9) micro-locally. The reason we cannot We can then rewrite (6) as go beyond c2r-m smoothness is that the error in (9) is C 2(r-m). If the p {7) uv := Tuv + Tvu mod cr+s symbol is elliptic, then we can conclude that u is globally C 2r-m' if u E cr, v E c•. This almost trivial observation and by iteration of class coo. In the general is the cornerstone of Bony's method. Note that case we cannot iterate the theorem because the since uv is only of class cmin(r,s), the error of hypothesis involves global smoothness and the class cr+s is a considerable improvement. By conclusion only micro-local smoothness. A simple iterating (7) we see example due to Yves Meyer [7] shows that this result is essentially best possible. The equation (8) F(u)- TF'(u)U mod C2r ifu E cr 8 2 ff8x8y + (8ff8x)(8ff8y) = 0 has solutions and F is any polynomial, and it is not difficult to f(x, y) = log {1 + lxlr + IYn which are of class extend this result to arbitrary C"" functions F. cr exactly. The characteristic directions are Since the operators Tu are well behaved, it is the coordinate axes (in the e-variables), and the not surprising that they can be combined with solution is micro-locally of class C 2r exactly in the derivatives to form a class of operators, called noncharacteristic directions. Because the equation para-differential operators (para-d.o.'s), that has a is linear in the highest order terms this is exactly good symbolic calculus. Indeed to define a para the degree of micro-local smoothness obtainable d.o. of order m and smoothness cr' just take by the method of para-d.o.'s. the definition of '1/J d.o. of order m and replace Using more sophisticated techniques, Bony multiplication by para-multiplication, requiring is also able to describe micro-local regularity that the symbol p(x, e) be only cr in the x in characteristic directions, showing that sin variables. The symbolic calculus of para-d.o. 's is gularities of limited orders propagate along virtually the same as for '1/J d.o. 's. For example, if bicharacteristic curves. I will not attempt to Tp and Tq are para-d.o.'s of orders m1 and m 2 and describe these results here. smoothness cr with symbols p and q, then Tp o Tq One rather curious fact that Bony points out is a para-d.o. of order ml +m2 and smoothness cr is that for nonlinear equations there is more than with symbol p#q given again by (4), the sum now one notion of weak solution, and his methods extending only over lal :::; r, with the error term are valid for some, but not all, notions of weak being a smoothing operator of order r- m 1 - m 2 • solution. In fact there are certain kinds of weak The proofs of this and related facts about para solutions for which his regularity theorems are not d.o.'s are straightforward modifications of the valid. This must be kept in mind when comparing proofs of the analogous '1/J properties of d.o.'s. Bony's results with other work. Now we are ready to see how the theory of In assessing the significance of Bony's work, we para-d.o.'s can be used to study the nonlinear must take into account not only the particular p.d.o. ( *). Instead of treating the linearization as results achieved but also a p.d.o., we treat it as a para-d.o. Let us fix a the potential of his solution u of ( *) of class cr. Then method for future success. Although we can only speculate about the future, all the indicators are positive. The method of para-differential p(x, e)= E (:: )(x, u, .. .)(ie)'' operators is general, powerful, and simple. It lal:5:m "' should become a valuable tool in the study is the symbol of the linearization at u, and it of nonlinear p.d.e.'s and linear p.d.e.'s with is of smoothness cr-m in the x-variable. We nonsmooth coefficients. will thus have to assume r > m (if the equation (*) is quasi-linear then we can obtain improved References results with weaker hypotheses). By using (8) and 1. L. Nirenberg, Variational and topological methods the symbolic calculus of para-d.o. 's, we obtain in nonlinear problems, Bulletin of the American
405 Mathematical Society (New Series), volume 4, number York; Springer-Verlag, Berlin-Gottingen-Heidelberg, 3, 1981, pages 267-302. 1963. 2. L. Nirenberg, Pseudo-differential operators, in 5. Fran
Queries Edited by Hans Samelson QUESTIONS WELCOMED from AMS members regarding mathematical matters such as details of, or references to, vaguely remembered theorems, sources of exposition of folk theorems, or the state of current knowledge concerning published or unpublished conjectures. REPLIES from readers will be edited, when appropriate, into a composite answer and published in a subsequent column. All answers received will ultimately be forwarded to the questioner. QUERIES and RESPONSES should be typewritten if at all possible and sent to Professor Hans Samelson, American Mathematical Society, P. 0. Box 6248, Providence, Rhode Island 02940. Queries Responses 259. V. Ja. Krelnovie (Box 21, 197022 Leningrad The replies below have been received to queries 22, USSR). What explicit formulas are known for published recently in the Notices. The editor solutions of Du- a(t)b(lxl)u = f(x, t), x E R 3, for would like to thank all who reply. arbitrary f? Such formulas may turn out to be 238. (vol. 28, p. 255, April 1981, John Thome) useful for relativistic celestial mechanics (due to Are there applications of mathematics to law? V. A. Brumberg). Reply: A reference: Robert Feys, Logique for malisee et raisonnement juridique, Essays on the de Ciencias Exac 260. Enzo R. Gentile (Facultad Foundations of Mathematics (Y. Bar-Hillel et al., (1428) Buenos tas, Ciudad Universitaria, Nunez editors), Magnes Press, Jerusalem, 1966, pages proper subfield of the Aires, Argentina). Is there a 312-321. (Contributed by BrianT. O'Neill) p-adic field Qp of finite codimension? We know to this query see page 512 by Bialynicki-Birula, Proc. Amer. Math. Soc. 35 For other replies of the October 1981 Notices, page 150 of the (1972), that Qp has a proper subfield of countable February 1982 Notices, and page 326 of the June codimension. Compare Query no. 255 (Notices, February 1982, page 150). 1982 Notices. p. 150, February 1982, Philip 261. Hans Samelson (American Mathematical 253. (vol. 29, Quartararo, Jr.) What generalizations of the Society, P.O. Box 6248, Providence, RI 02940). It twin primes conjecture are there? Reply: For is well known that the intersection of a decreasing generalizations including those in the query see sequence of simplices (in Rn, say) is a simplex of Math. (2) 33 (1904), (of possibly lower dimension). I would like a L. Dickson, Messenger 155-161; Hardy and Littlewood, Acta Math. 44 reference, preferably to the first publication. (1923), 1-70; Cherwell, Quart. J. Math. 17 (1946), 46-62 (gives asymptotic formulae for frequencies); Schinzel and Sierpinski, Acta Arith. 4 (1958), 185-208; Cherwell and Wright, Quart. J. Math. 11 (1960), 6-63; Hardy and Wright, Theory of numbers, 5th ed., Oxford, 1979; section N32 of W. J. LeVeque's Reviews in number theory, American Mathematical Society, Providence, RI, 1974. (Contributed by P. Bateman and E. Wright)
406 News and Announcements
A. J. Lohwater Holger Crafoord, a Swedish industrialist who made a fortune in pulp and paper products and 1922-1982 in artificial kidneys, established the Holger and Anna-Greta Crafoord Prizes for basic research in John Lohwater, professor of mathe Arthur several fields not among those covered by the statistics at Case Western Reserve matics and Nobel Prizes, including mathematics, astronomy, University since 1965, died June 10, 1982, after bioscience and geoscience. The Crafoord Prizes, illness. He received his Ph.D. from a lengthy which are to be awarded by the King of Sweden, and held positions at the University of Rochester, will be presented for the first time in mathematics of Michigan (1949-1959) and Rice the University on September 29 in Stockholm. Institute (1959 -1965), as well as Guggenheim and The plan is to present, in successive years, prizes Fulbright fellowships (1955-1956), before joining in the several fields. The recipients are chosen the faculty at Case. His principal area of research by the Royal Swedish Academy of Sciences. Each was complex analysis. award is 800,000 Swedish crowns (about $135,000), compiled the Rwsian-English Dic Lohwater half of which is to go to the recipients selected Sciences, under the tionary of the Mathematical by the Academy and half is to go for support of of Sciences, the auspices of the National Academy research in the same subject in Sweden. Academy of Science of the USSR, and the AMS; In conjunction with the first award ceremony this was published by the Society in 1961 and has in Stockholm in September, a symposium on since been reprinted several times. From 1961 nonlinear partial differential equations is being until1965 he served as an editor of Mathematical planned. Reviews, for most of this time as executive editor. His term as an editor of Mathematical Reviews during the early sixties coincided with the AMS Research Fellowships beginning of the current period of rapid growth Invitation for Applications, 1983-1984 in the mathematical literature of the world. For its first twenty years (1940 to 1960) Mathematical The deadline for applications is December 1, Reviews grew at a relatively steady but modest 1982; awards will be announced by late January rate; by the end of the 1950s, a spectacular 1983. expansion had begun which led to a near doubling The stipend for these postdoctoral fellowships of the number of reviews published, from less than will be somewhat more than that of last year 8000 in 1959 and 1960 to more than 13,000 in 1961. (S22,000), for eleven months of full-time research For the rest of Lohwater's term as editor, the or its equivalent, plus an incidental expense number of reviews published remained between allowance of $1,000. Given the opportunity, a 13,000 and 14,000 a year. The level of production Fellow may elect to hold a half-time Research which originally reflected efforts to overcome Instructorship, with a teaching responsibility not a large backlog came almost immediately to exceeding one course per term, while holding represent the steady state. Lohwater's efforts at the Fellowship at half stipend. Fellowships are this crucial time proved to be very important for open to individuals who have recently received the future well-being of Mathematical Reviews, a Ph.D. degree, regardless of age, and who are which has since faced a continuing series of such citizens or permanent residents of a country in crises. (The number of reviews published each North America. Fellowships may be held at any year now is approaching 40,000.) institution the Fellow selects, or at more than one The officers and members of the Society, as well in succession, and there is flexibility in the choice as members of the international mathematical of time interval(s) in which the Fellow may draw community, are thus indebted to Jack Lohwater funds. for the efforts which he exerted on behalf of all For further information and application forms, mathematicians in his labors to keep Mathematical write to Dr. William J. LeVeque, Executive Reviews's coverage of the world's mathematical Director, American Mathematical Society, Post literature current and comprehensive. LKD Office Box 6248, Providence, Rhode Island 02940.
1982 Crafoord Prizes in Mathematics AMS Research Fellowship Fund Request for Contributions Two mathematicians, Louis Nirenberg of the Courant Institute of the Mathematical Sciences, The AMS Research Fellowship Fund was estab New York University, and V. I. Arnol'd of the lished in 1973. From this fund AMS Research University of Moscow are recipients of the first Fellowships are awarded annually to individuals Crafoord Prizes. who have received the Ph.D. degree, who show
407 unusual promise in mathematical research, and Congressional Science Fellows spend their fel who are citizens or permanent residents of a lowship year working on the staff of a member of country in North America. Congress, the staff of a congressional committee, Twenty-six Research Fellowships have been or for the congressional Office of Technology awarded including one granted for 1982-1983 and Assessment. The AAAS collects information on two for 1981-1982 (see the announcements in the the availability of such positions and, following April 1982 Notices, page 247 and in the April an intensive two-week orientation program un 1981 issue, page 256). The number of fellowships der the direction of the AAAS, each Fellow's awarded depends on the contributions the Society assignment is worked out by the Fellow and receives. The Society contributes a minimum the congressional office concerned. The AAAS of $9,000 to the Fund each year, matching one provides advice and assistance during the entire half of the funds in excess of $18,000 raised from program, and communicates on a regular basis other sources, up to a total contribution by the with each Fellow throughout the year. Detailed Society of $20,000. Each member of the Society is information on the program is available from requested to contribute to the Fund. AAAS Congressional Science Fellow Program, Contributions to the AMS Research Fellowship 1776 Massachusetts Avenue, N.W., Washington, Fund are tax deductible. Checks should be made D.C. 20036; 202-467-4475. payable to the American Mathematical Society, The AMS-MAA-SIAM Congressional Science clearly marked "AMS Research Fellowship Fund," Fellowship was held by EDMUND GREGORY and sent to the American Mathematical Society, LEE in 1978-1979 (Dr. Lee worked on the staff Post Office Box 1571, Annex Station, Providence, of the Subcommittee on the Environment and the Rhode Island 02901. Atmosphere of the House Committee on Science and Technology), by ROBERT T. SMYTHE in 1979-1980 (Dr. Smythe worked on the staff Everett Pitcher Lecture Series of congressman George E. Brown, D. Calif., then chairman of the Subcommittee on Science, Lehigh University recently received a gift Research and Technology of the House Committee establishing the Everett Pitcher Lecture Series on Science and Technology), and in 1980-1981 by Fund. Income from the Fund will be used to CHERYL G. TROPF (Dr. Tropf worked on the bring distinguished mathematicians to the Lehigh majority staff of the Subcommittee on Science, campus in Bethlehem, Pennsylvania, for the Technology and Space of the Senate Committee purpose of delivering expository lectures designed on Commerce, Science and Transportation). The to interest the best senior mathematics majors AMS-MAA-SIAM Fellowship was vacant in 1981- and graduate students. 1982; the 1982-1983 Fellowship has been awarded The donor's intention is that the lectures be to JOHN T. CHU (as reported in the June 1982 open to the public and that publication of the Notices, page 331). lectures be sought. These fellowships are awarded, without regard The gift is in honor of Everett Pitcher who to age, sex, race, or citizenship, to mathematical served in the Mathematics Department at Lehigh scientists who have received a doctoral degree. University from 1938 to 1978, before retiring as Handicapped persons and members of minority Distinguished Professor of Mathematics. groups are encouraged to apply. The selection is made by a panel of the AMS-MAA-SIAM Joint AMS-MAA-SIAM Concerns Committee for Mathematics. Applicants should demonstrate exceptional competence in Congressional Science Fellowship some areas of the mathematical sciences, should 1983-1984 have a broad scientific and technical background and a strong interest in the uses to which Applications are invited from candidates in the mathematics and other sciences may be put for mathematical sciences for a Congressional Science the solution of societal problems; in addition Fellowship for the twelve-month period beginning they should be articulate, literate, flexible and September 1, 1983. This Fellowship will be able to work effectively with a wide variety of supported jointly by the American Mathematical people. An application should contain a statement Society, the Mathematical Association of America, describing the applicant's reasons for wanting to and the Society for Industrial and Applied Mathe be a Congressional Science Fellow, a summary matics; it is one of some thirty similar fellowships of the applicant's qualifications, and should be supported by scientific societies in a program accompanied by a detailed resume. In addition, administered by the American Association for the each applicant should ask three people, who Advancement of Science. The 1983-1984 stipend are informed about the candidate's competence for the AMS-MAA-SIAM Science Fellowship is and suitability for the award, to send letters of $25,000, which may be supplemented by a small recommendation to the CBMS office by February amount toward relocation and travel expenses, 15, 1983. and possibly even by sabbatical salary or other Applications should be sent to the Con employer contributions. ference Board of the Mathematical Sciences, 1529
408 Eighteenth Street, N.W., Washington, D.C. 20036. examination designed to test ingenuity as well as The deadline for receipt of completed applications mathematical background. (including letters of reference) is February 15, The 100 USAMO competitors were the top per 1983. The award is expected to be announced by formers in the Annual High School Mathematics the first of April1983. Contest (AHSME) held in high schools throughout the United States and Canada on March 9, 1982. Fulbright Awards for 1983-1984 The eight USAMO winners are: Noam D. Elkies of New York, New York; Douglas S. Jungreis of The Council for International Exchange of North Woodmere, New York; Brian R. Hunt of Scholars (CIES) has issued a booklet, The 1989- Silver Spring, Maryland; Tsz Mei Ko of Corona, 1984 Fulbright Senior Scholar Program, listing New York; Washington Taylor N, of Cambridge, awards available for lecturing or research in Massachusetts; Vance Maverick of Los Angeles, countries throughout the world. Copies may be California; W. David Vinke of Alvinston, Ontario; obtained from CIES, Eleven Dupont Circle, NW, and Edith N. Starr of Philadelphia, Pennsylvania. Suite 300, Washington, D.C. 20036. The winners will be honored on June 8 in Washington, D.C. at the Eleventh USA Olympiad NSF U. S.-China Awards Ceremony which will be held ~ the Cooperative Seienee Program National Academy of Sciences and the Diplomatic Reception Rooms of the U.S. Department of The following five fields have been added to the State. list of fields of cooperation under the U. S.-China Following the Awards Ceremony, the seven Cooperative Science Program: winners from the United States and sixteen other Plant Sciences: plant cell biology, plant students who did well in the USAMO Examination physiology, and systematic botany in selected will participate in an intensive three-week seminar areas subject to availability of resources at the U.S. Naval Academy. The purpose of the Earth Sciences: geophysics and geochemistry seminar will be to train a U.S. team of four Engineering Sciences: heat transfer, fluid students for the 1982 International Mathematical mechanics, and applied mathematics related Olympiad (IMO) to be held in Hungary in July to these two areas and to prepare eligible students for future IMO's. Information Sciences: artificial intelligence, The U.S.A. Mathematical Olympiad and the pattern recognition, basic computer science, Annual High School Mathematics Contests (HSC) numerical analysis and scientific computation are sponsored by five major organizations of theory mathematicians and actuaries. The sponsors of International Studies: (seminars preferred) the USAMO and the HSC are: The Mathemat~cal Cooperation will continue in the six original Association of America, The Society of Actuaries, fields under the program: Archaeology, The National Council of Teachers of Mathematics, Astronomy, Linguistics, Chemistry of Natural Mu Alpha Theta, and The Casualty Actuarial Products, Materials Science (ceramics, metallurgy Society. The Awards Ceremony, the training and polymers), and Systems Analysis (decision and sessions, and team travel expenses are supported management science and operations research). by grants from IBM, the Army Research Office, The U. S.-China Program of the National and the Office of Naval Research. Science Foundation is prepared to receive grant applications for cooperative research projects and COPSS Visiting Leeturer Program a limited number of joint seminars in the eleven in Statistics fields of cooperation. Proposals may be submitted at any time. For additional information, call U. B. The COPSS Visiting Lecturer Program in China Program at 202-357-7393, or write to Pierre Statistics is continuing into its twentieth successive M. Perrolle or Alexander P. DeAngelis, Program year. The program is available to schools in the Managers, U.S.-China Program, National Science Continental United States and Canada. The Foundation, Division of International Programs, program is sponsored jointly by the principal Washington, D.C. 20550. statistical organizations in North America, the American Statistical Association, the Biometric U.S. Mathematieal Olympiad Society, the Institute of Mathematical Statistics, Winners Announeed and the Statistical Society of Canada. It functions under the auspices of the Committee Eight U.S. and Canadian students have earned of Presidents of Statistical Societies. Leading Olympiad medals in a mathematics competition teachers and research workers in statistics involving over 400,000 high school students. from universities, industry and government The final round in this competition was the participate as lecturers. Lecture topics include Eleventh USA Mathematical Olympiad (USAMO) subjects in experimental and theoretical statistics, in which 100 students competed in a challenging as well as probability theory, information theory
409 and stochastic models in the physical, biological Gary C. McDonald, General Motors Research and social sciences. Laboratories; Richard W. Mensing, Lawrence The purpose of the program is to provide infor Livermore National Laboratory. mation to high school and college students and Also, Wayne Nelson, General Electric Com the respective faculty about the nature and scope pany; Wesley L. Nicholson, Pacific Northwest of modern statistics and advice for undergraduate Laboratories; Janet L. Norwood, U.S. Bureau of and graduate study, college curricula, and careers Labor Statistics; Ingram Olkin, Stanford Univer in statistics. Inquiries should be addressed to: D. sity; G. P. Patil, Pennsylvania State University; V. Gokhale, Acting Chairman, Visiting Lecturer Michael D. Perlman, University of Washington; Program in Statistics, Department of Statistics, Frank Proschan, Florida State University; Peter University of California, Riverside, CA 92521. Purdue, University of Kentucky; Madan L. Puri, Participating lecturers are listed below: Den University of Indiana; Fred L. Ramsey, Oregon nis J. Aigner, University of Southern California; State University; Dale 0. Richards, Brigham Joseph R. Assenza, The Upjohn Company; Bar Young University; Jagdish S. Rustagi, Ohio State bara A. Bailar, Bureau of the Census; Asit P. University; Richard R. Scott, Eastman Kodak Basu, University of Missouri; David L. Bayless, Company; Donald T. Searls, National Assessment Research Triangle Institute; James Beniger, Prin of Educational Progress; Nell Sedransk, State ceton University; Saul Blumenthal, University University of New York; A. R. Sen, Canadian of illinois; Colin R. Blyth, Queen's University; Wildlife Service; Gary Simon, State University Duane C. Bose, Colorado State University; K. of New York; F. Michael Speed, Speedman Oil 0. Bowman, Union Carbide Corporation; Donna Company; W. A. Thompson, Jr., University Brogan, Emory University; Manuel Cardenas, of Missouri; Kenneth J. Tiahrt, Montana State New Mexico State University; Roshan L. Chad University; John Van Ryzin, Columbia University; dha, Bell Telephone Laboratories; Lai K. Chan, Ray A. Waller, Los Alamos National Laboratory; University of Manitoba; Herman Chernoff, Mas James A. Walsh, University of Montana; Milton sachusetts Institute of Technology; Arthur Cohen, E. Winger, University of North Dakota; Kirk M. Rutgers University; Lawrance H. Cox, Bureau of Wolter, U.S. Bureau of the Census; Farroll Tim the Census; Bradford R. Crain, Portland State Wright, University of Missouri; and Marvin Zelen, University; Jonathan Cryer, University of Iowa; Harvard University. Ralph B. D'Agostino, Boston University; John L. The organizing committee consists of: Jane Denny, University of Arizona; Marie D. Eldridge, Altes, Barry C. Arnold (Chair), Dan Brunk, D. National Center for Educational Statistics; Robert V. Gokhale (Acting Chair), Beat Kleiner, Paul M. Elashoff, University of California, Los An Minton, Ingram Olkin, Raymond E. Roth, Jagdish geles; William A. Ericson, University of Michigan; Rustagi, and Cynthia C. Wilson. Polly Feigl, University of Washington; J. Leroy Folks, Oklahoma State University; D.A.S. Fraser, University of Toronto; Spencer (Mike) Free, Jr., Policy on Letters to Editor University of Pennsylvania. Readers who wish to respond to letters published in this issue are urged to do so before October 1, 1982. Also, Donald P. Gaver, Jr., Naval Postgraduate Responses received by that date may be edited to reduce School; James E. Gentle, IMSL, Inc.; Leon repetition and will be considered for publication in the J. Gieser, University of Chicago; Richard A. January 1983 issue. Groeneveld, Iowa State University; Gerald J. Letters submitted for publication in the Notices are Hahn, General Electric Company; William J. reviewed by the Editorial Committee, whose task is Hill, Allied Corporation; Myles Hollander, Florida to determine which ones are suitable for publication. State University; Susan Dadakis Horn, Johns The publication schedule requires from two to four months between receipt of the letter in Providence and Hopkins University; J. Stuart Hunter, Princeton publication of the earliest issue of the Notices in which University; J. Edward Jackson, Eastman Kodak it could appear. Company; Dallas E. Johnson, Kansas State Publication decisions are ultimately made by majority University; David Jowett, University of Wisconsin; vote of the Editorial Committee, with ample provision Joseph B. Kadane, Carnegie-Mellon University; for prior discussion by committee members, by mail or S. K. Katti, University of of Missouri; Beat at meetings. Because of this discussion period, some letters may require as much as seven months before a Kleiner, Bell Telephone Laboratories; Jerome final decision is made. H. Klotz, University of Wisconsin; Gary G. The committee reserves the right to edit letters. Koch, University of North Carolina; Samuel Kotz, The Notices does not ordinarily publish complaints University of Maryland; Anant M. Kshirsagar, about reviews of books or articles, although rebuttals University of Michigan; Solomon Kullback, The and correspondence concerning reviews in the Bulletin George Washington University; James M. Lucas, of the American Mathematical Society will be considered E. I. duPont de Nemours & Co.; Richard E. for publication. Lund, Montana State University; John Mandel, Letters should be mailed to the Editor of the National Bureau of Standards; Nancy R. Mann, Notices, American Mathematical Society, Post Office Box 6248, Providence, Rhode Island 02940, and will be University of California, Los Angeles; Harry acknowledged on receipt. F. Martz, Los Alamos National Laboratory;
410 Letters to the Editor
Bulletin After an unsuccessful call on the Director William J. LeVeque's report in the February General of UNESCO, I set my mind on publishing 1982 Notices (pages 164 and 165) concerning my original manuscript elsewhere. UNESCO, dues is quite illuminating. However, I must however, refuses their permission unless I add take exception to the discussion concerning the the-wrong-note that "this is the original of Bulletin. My basic premise is that mathematics is an article published in an abridged form in the very vast and varied, so much so that an individual UNESCO revue Prospects . ..". This is UNESCO's interested in particular segments of the literature way to block the publication of my original paper, will find very little of interest in the journal. since they can be sure I would never add a note My estimate is that readers are conversant with that is untrue. about 5% to 10% of the material at best. As Hans Freudenthal Utrecht, The Netherlands a consequence, the Bulletin does not provide "intellectual coherence." I feel that the days of general research journals are gone and attention Lomonosov must be directed to journals dealing with the We wish to draw the attention of the inter subdisciplines. Mathematics of Computation is national mathematical community to the plight a case in point. In any event to spend 25% of of Michael Lomonosov. In November 1978 a budget on a journal where less than 10% of Lomonosov applied for a permit to emigrate to the articles are of interest to readers is not cost Israel. He was subsequently fired from his posi effective. Some friends have suggested that the tion at the Institute for Information Transmission 5% to 10% figure is too high. Perhaps the Society Problems, USSR Academy of Sciences, Moscow, should conduct a survey on this and related and now makes a menial living as janitor. Only points. Then a meaningful decision can be made. a few months ago, after a nerve-racking period of Yudell L. Luke some three years of harassment and uncertainty, University of Missouri, did Lomonosov receive a response to his request. Kansas City It was rejected on the grounds that if he emigrates he might slander the USSR abroad. Censorship Though Lomonosov has no access to a library, almost no contacts with colleagues and is unable After many years of serving UNESCO in many to publish, he appears to be in a rather active functions, I received an urgent call from the phase of his mathematical work. Editor of the UNESCO quarterly Prospects, dated 22 February 1979, to contribute an article on We suggest that mathematicians everywhere ''modern" mathematics. Within the deadline help Lomonosov professionally, by sending to him of April 15, 1979, and the space allotted, I reprints, journals, books and letters, and also succeeded in dispatching a lavishly illustrated write on his behalf to President Breshnyev and other Soviet officials. It is advisable to send manuscript, while asking the Editor to make stylistic improvements where needed. The correspondence by registered mail with return request. His address: Chertanovskaya Ulitsa 34- manuscript was formally accepted as such. While 1-286, Moscow 113525, USSR. Dr. Lomonosov is waiting for the proofreadings, I received in interested mainly in combinatorics, graph theory December 1979 a copy of Prospects IX, issue and flow problems in networks. 2, containing a paper under my name, which I could hardly recognize. My manuscript had EDITORS' NOTE: This letter was submitted by been changed substantially, some statements even Aviezri S. Fraenkel of the Weizmann Institute of to the contrary. My complaint was answered Science, Rehovot, Israel, and was signed by him with the excuse that this was just Prospects' and forty-two others. policy, which, however, is nowhere stated. On the contrary, according to a statement on page 2 of The box describing editorial policy on letters every Prospects issue, authors of signed articles to the editor will be found on the preceding are held fully responsible for their contents. page. Rather than acknowledging that I was not responsible for the paper published under my name, Prospects, in volume X, issue 3, inserted an unauthorized announcement that the published paper was a "version shortened by the editors" and that I had "asked us to inform our readers that they can obtain the original version from him ...".
411 Election Infonnation
The ballots for election of members of the Council and SUGGESTIONS FOR 1983 NOMINATIONS Board of Trustees of the Society for 1983 will be mailed Council and Board of Trustees on or shortly after August 27, in order for members to receive their ballots well in advance of the November 10 Vice President (2) deadline. Prior to casting their ballots members are urged to consult the following articles and sections of the Bylaws of the Society: article I, section 1; article II, sections 1, 2; article ill, sections 1, 2, 3, 4; article IV, sections 1, 2, Associate Secretaries (2) 4; article VII, sections 1, 2. The complete text of the Bylaws appears on pages 646-649 of the November 1981 issue of the Notices. A list of the members of the Council and Board of Trustees serving terms during 1982 appears Representative to the American Journal of Mathematics (1) in the AMS Reports and Commllllicationa section of this issue. Member of the Bulletin Editorial Committee (1) SUGGESTIONS FOR 1983 NOMINATIONS Each year the members of the Society are given the opportunity to propose for nomination the names of Member of the Colloquium Editorial Committee (1) those individuals they deem both qualified and responsive to their views and needs as part of the mathematical community. Candidates will be nominated by the Council Member of the Mathematical Re'IJiews Editorial Committee to fill positions on the Council and Board of Trustees (1) to replace those whose terms expire December 31, 1983. See the AMS Reports and Commllllications section of this issue for the list of current members of the Council and Member of the Mathematical Surveys Editorial Committee Board of Trustees. Members are requested to write their (1) suggestions for such candidates in the appropriate spaces on the form in the next column. Members of the Mathematics of Computation Editorial REPLACEMENT BALLOTS Committee (2) This year ballots for the AMS election will be mailed August 27, 1982 or within a day or two thereafter. The deadline for receipt of ballots in Providence is November 10, 1982. Members of the Proceedings Editorial Committee (3) There has been a small but recurring and distressing problem concerning members who state that they have not received ballots in the annual election. It occurs for several reasons, including failure of local delivery systems on university or corporate properties, failure of members to Members of the 7ransactions and Memoirs Editorial give timely notice of changes of address to the Providence Committee (2) office, failures of postal services, and other human errors. To help alleviate this problem, the following replacement procedure has been devised: A member who has not Members of the Committee to Monitor Problems in received a ballot by October 12, 1982, or who has received Communication (2) a ballot but has accidentally spoiled it, may write after that date to the Secretary of the AMS, Post Office Box 6248, Providence, Rl 02940, asking for a second ballot. The request should include the individual's member code and the address to which the replacement ballot should Members-at-large of the Council (5) be sent. Immediately upon receipt of the request in the Providence office, a second ballot, which will be indistinguishable from the original, will be sent by first class mail. It must be returned in an inner envelope, which will be supplied, on the outside of which is the following statement to be signed by the member: The ballot in this envelope is the only ballot that I Member of the Board of Trustees (1) am submitting in this election. I understand that if this statement is not correct then no ballot of mine will be counted. The completed form should be addressed to AMS Nomi nating Committee, Post Office Box 6248, Providence, Rl signature 02940, to arrive no later than November 10, 1982.
Although a second ballot will be supplied on request and will be sent by first class mail, the deadline for receipt of ballots will not be extended to accommodate these special cases.
412 Toronto Meetings, August 21-26, 1982 Program for the 86th Summer Meeting
The August 1982 Joint Mathematics Meetings, The Toronto meetings will be joint meetings including the 86th summer meeting of the AMS, in a stronger sense than before. AMS and MAA the 62nd summer meeting of the Mathematical sessions will run concurrently and simultaneously. Association of America, and the 1982 annual meeting In addition, the two organizations are sponsoring of Pi Mu Epsilon, will be held August 24-26, 1982 a special Joint Session; details about the Joint (Tuesday-Thursday), at the University of Toronto. Session appear later on in this announcement. The meetings will be preceded by the AMS Short Course on August 21 and 22 {Saturday and Sunday), The members of the AMS/MAA Joint Program 1982. Sessions will take place on the campus of the Committee for the Toronto Meeting are Raymond University of Toronto. G. Ayoub, Edward J. Barbeau, Jr., Leonard The members of the Local Arrangements Com Gillman {chairman), Ronald L. Graham, Richard mittee are Morton Abramson, James G. Arthur, K. Guy, Hugh L. Montgomery, George D. Mostow, Raymond G. Ayoub (ex officio), Edward J. Barbeau, Everett Pitcher, and Gerald J. Porter. Jr. {publicity director), L. Terrell Gardner, William J. LeVeque (ex officio), James McCool, Stephen 86TH SUMMER MEETING OF THE AMS J. Pierce (chairman), David P. Roselle {ex officio), August 23-26, 1982 Annette Sunter, James R. Vanstone, and John B. Wilker. Colloquium Lectures There will be a series of four Colloquium Lectures WHERE TO FIND IT PAGE presented by MORRIS W. HIRSCH of the University SUMMER MEETING OF THE AMS 413 of California, Berkeley. The title of the lecture series Colloquium Lectures, Prizes, Invited Addresses, is Convergence in ordinary and partial differential Special Sessions, Contributed Papers, Council and Business Meetings, Other AMS Sessions, equations. The lectures will be given at 1:00 p.m. Joint AMSfMAA Sessions Monday through Thursday, August 23-26. AMS SHORT COURSE 414 Steele Prizes PRESENTERS OF PAPERS 436 PROGRAM OF THE SESSIONS 438 The 1982 Leroy P. Steele Prizes will be awarded at TIMETABLE 415 a session at 4:30p.m. on Wednesday, August 25. OTHER ORGANIZATIONS 420 Invited Addresses AWM, MAA, liME OTHER EVENTS OF INTEREST 422 By invitation of the AMS Program Committee, Book Sales, Summer List of Applicants, there will be eight invited one-hour addresses. The Exhibits, MATHFILE, Second-hand list of speakers and their titles follow: Book Exchange DAVID W. BOYD, University of British Columbia, INFORMATION FOR PARTICIPANTS 424 University Housing, Food Services, Hotel Vancouver, Constructive aspects of the theory of Accommodations, Registration at Meetings the Pisot and Salem numbers; SuN-YUNG ALICE CAMPUS MAP 430 CHANG, University of California, Los Angeles, REGISTRATION DESK SERVICES 432 AMS/MAA Information, Audio-Visual Aid, Assistance, Comments and Complaints, Baggage and Coat Check, Check Cashing, Lost and Found, Local Information, Mail, Personal and Telephone Messages, Transparencies, Visual Index MISCELLANEOUS INFORMATION 433 Athletic Facilities, Book Stores, Camping, Child Care, Crib Rental, Libraries, Local Information, Medical Services, Parking, Social Events, Travel, Weather IMPORTANT DEADLINES Abatracta, For eonllideration for apecial ae11ion1 Expired or CODtributed papera Expired Summer Liat or Applicant• Expired Prerepatration and Houling Expired Houlling cancellation~ {refund or depollit) Expired Second-band Book Exchange Expired Motiona for Buaine11 Meeting Expired Preregiatration cancellation1 (50% refund) Auguat 20 Duea credit for nonmemben September 26 Morris W. Hirsch, AMS Colloquium Lecturer
413 American Mathematical Society Short Course Series Statistical Data Analysis August 21-22, 1982 The American Mathematical Society, in conjunction with its eighty-sixth summer meeting, will present a one and one-half day short course entitled Statistical Data Analysis on Saturday and Sunday, August 21 and 22, 1982, at the University of Toronto. The program is under the direction of Ram Gnanadesikan, and will include lectures by Ram Gnanadesikan, Paul A. Tukey, Colin L. Mallows, Joseph B. Kruskal, and Jon R. Kettenring, all from Bell Laboratories, Murray Hill. Statistical data analysis includes a wide variety of methods for analyzing data, both to answer specific questions posed before the data are available, and also to discover significant features of the data which were not anticipated ahead of time. Useful methods range from extremely simple to mathematically sophisticated. Work in this field ranges from straightforward applications, through ingenious applications and special adaptation of existing methods, to the development of totally new methods. Many bodies of data do not yield up their secrets to standard methods, so applied statisticians find it important to stay in contact with new methodology. Useful new methods often result from the challenge posed by a puzzling set of data, so methodologists find it important to stay in contact with applications. Often methodological innovation and penetrating insight into substantive problems go hand in hand. The ultimate goal of statistical theory is the analysis of data, but for several decades attention has been focused on mathematical solutions to some rather limited intermediate goals. The emerging field of "data analysis" pays renewed attention to the ultimate goals. Recent developments have made major contributions to everyday statistical practice and have provided many new intermediate goals worthy of attention. This course will discuss several of these developments. The course will consist of a 30-rninute introduction, six 75-minute lectures, and a 45-minute summary and open discussion. Ram Gnanadesikan will present the introduction and summary, Paul Tukey will speak about graphical techniques, Colin Mallows about robust methods, Joseph Kruskal about multilinear models, and Jon Kettenring will present a ease study. For further information, see the synopses of the talks or browse through some of the carefully selected references in the April issue of the Notices on pages 291-292. Some acquaintance with classical statistics will be presumed, including basic probability theory and the ideas of estimation, hypothesis testing, regression analysis, analysis of variance, and correlation. The short course was recommended by the Society's Committee on Employment and Educational Policy, whose members are Lida K. Barrett (chairman), Irwin Kra, Robert W. McKelvey, Donald C. Rung, Robert J. Thompson, and Barnet M. Weinstock. The short course series is under the direction of the CEEP Short Course Subcommittee, whose members are Stefan A. Burr, Ronald L. Graham, Robert W. McKelvey, Cathleen S. Morawetz, Barbara L. Osofsky, and Philip D. Straffin, Jr. The short course is open to all who wish to participate upon payment of the registration fee. There are reduced fees for students and unemployed individuals. Please refer to the section entitled INFORMATION FOR PARTICIPANTS for details.
414 TIMETABlE MSB - Medical Sciences Building (Eastern Daylight Saving Time) SSH - Sidney Smith Hall
AMERICAN MATHEMATICAL SOCIETY SHORT COURSE SERIES
SATURDAY, August 21 STATISTICAL DATA ANALYSIS
11:00 a.m. - 4:00 p.m. REGISTRATION (Short Course Only) Outside MSB 3153 MSB 3153 2:00 p.m. - 2:30 p.m. Tntroduction and summary Ram Gnanadesikan 2:30 p.m. - 3:45 p.m. Graphical methods Paul A. Tukey 3:45 p.m. - 4:15 p.m. Break 4:15 p.m. - 5:30 p.m. Graphical methods Paul A. Tukey
SUNDAY, August 22
8:00 a.m. - noon REGISTRATION (Short Course Only) Outside MSB 3153 MSB 3153 9:00 a.m. - 10:15 a.m. Robust methods Colin L. Mallows 10:15 a.m. - 10:45 a.m. Break 10:45 a.m. - noon Robust methods Colin L. Mallows noon - 1:30 p.m. Lunch 1:30 p.m. - 2:45 p.m. Multilinear models Joseph B. Kruskal 2:45 p.m. - 3:15 p.m. Break 3:15 p.m. - 4:30 p.m. A case study Jon R. Kettenring 4:30 p.m. - 5:15 p.m. Summary and open discussion Ram Gnanadesikan and audience
JOINT MATHEMATICS MEETINGS
SUNDAY, August 22 American Mathematical Society Mathematical Association of America
9:00 a.m. - 4:00 p.m. BOARD OF GOVERNORS MEETING Governing Council Chamber, Simcoe Hall 1:00 p.m. - 5:00 p.m. MINICOURSE #1 Uses of computers in undergraduate mathematics instruction David A. Smith John L. Van Iwaarden SSH 1088 4:00 p.m. - 8:00 p.m. REGISTRATION Lobby, Sidney Smith Hall 4:00 p.m. - 8:00 p.m. AMS BOOK SALE MAA BOOK SALE Lobby, Sidney Smith Hall ILobby, Sidney Smith Hall 5:00 p.m. - 10:00 p.m. COUNCIL MEETING Governing Council Chamber, Simcoe Hall 7:00 p.m. - 10:00 p.m. MINICOURSE #2 Tntroduction to microprocessors in mathematics instruction Klaus E. Eldridge Donald 0. Norris SSH 1088
MONDAY, August 23 AME MAA
8:00 a.m. - 4:30 p.m. REGISTRATION Lobby, Sidney Smith Hall 8:00 a.m. - 4:30 p.m. AMS BOOK SALE MAA BOOK SALE Lobby, Sidney Smith Hall ILobby, Sidney Smith Hall 8:30 a.m. - 8:35 a.m. WELCOME ADDRESS MSB Auditorium 2158 415 The Toronto Meetings Travel Hotline - Call 800-556-6882 In Rhode Island and outside the continental U.S. call 401-884-9500 or Telex 952165 CONVENIENCE, SAVINGS, IMMEDIATE CONFIRMATION ON HOTEL & AIRLINE ARRANGEMENTS Hours of Operation: 9 a.m.-8 p.m. Eastern Time Monday through Thursday, Fridays until 6 p.m. Another Member Service to Assist You if You're Attending the Toronto Meetings and Use a Major Credit Card One free call answers all your travel questions and supplies you with all your needs, including hotel rooms and/or reduced-rate airline arrangements. Meeting preregistration can only be done through the Mathematics Meetings Housing Bureau, which can not be reached through this 800 number. THE SUPERSERVICE: Discount travel arrangements, including special fare check service. - Whenever possible savings up to 55 percent. - Guaranteed lowest possible airfare for your itinerary. - Comparison of individual travel plans to discounted fares. - Unbiased selection of airlines so the best arrangements can be made. -Fare check: A special review 30 days prior to your trip and again 15 days prior to insure that you are getting the lowest available airline fare. You will be automatically reticketed if fares drop below your original ticket cost. - Ground transfers. HOTEL: - Immediate confirmation of hotel, room type and rate. - No mail-in forms, no waiting. N.B.: University accommodations must be obtained through the Mathematics Meetings Housing Bureau. THE NECESSITIES: - You must use VISA, MASTERCARD or AMERICAN EXPRESS to utilioe the travel hotline. Please have your card number and expiration date ready when you call. - Remember, you can use this convenient service to purchase your airline tickets and ground transfers, and to make your hotel room reservation. THE GUARANTEE: The lowest fares, immediate confirmation and individualioed personal service. If you have any questions regarding this service, call the Toronto Meetings Travel Hotline - 800-556-6882
HP spaces in one and several variables; HARISH Complexity and digital signal processing, Lours CHANDRA, Institute for Advanced Study, On AUSLANDER, Graduate Center, CUNY; Monday the theory of the Whittaker integral; JOEL L. and Tuesday. C. Sidney Burrus, Allen L. Gorin, LEBOWITZ, Rutgers University, New Brunswick, F. Alberto Griinbaum, H. Lev-Ari, James H. Recent developments in statistical mechanics; McClellan, L. Robert Morris, R. Tolimieri and JOHN W. MILNOR, Institute for Advanced Study, Michael Vulis. Knots and contact structures in 3-space; BRENT Number theory, DAVID W. BOYD, University of PENDLETON SMITH, California Institute of Tech British Columbia, Vancouver; Monday and Tuesday. nology, Winding numbers and Fourier transforms; Duncan A. Buell, Jasbir S. Chahal, Ted Chinburg, W. T. TUTTE, University of Waterloo, Map color Thomas W. Cusick, A. G. Earnest, Ronald J. ings and differential equations; and SHMUEL Evans, Helaman R. P. Ferguson, John B. Friedlander, WINOGRAD, IBM Watson Research Center, Al Douglas Hensley, Wayne Lawton, Gerald Myerson, gebras, their representations and the Discrete Helmut Maier, Carl Pomerance, RobertS. Rumely, Fourier Transform. Robert A. Smith, James Solderitsch, Cameron L. Stewart, Jerrold B. Tunnell and Noriko Yui. Special Sessions Classical harmonic analysis, SUN-YUNG By invitation of the same committee, there will ALICE CHANG, University of California, Los An be fourteen special sessions of selected twenty-minute geles and ROBERT FEFFERMAN, University of papers. The titles of these special sessions, the Chicago; Monday and Tuesday. D. E. Alspach, names of the mathematicians arranging them, lists of Sheldon Axler, J.-A. Chao, Michael Christ, Robert speakers, and the days they will meet are as follows. Feft'erman, Allan Greenleaf, Bjorn D. Jawerth, Carlos The mathematical legacy of Gabor SzegiJ, E. Kenig, Paul Koosis, Donald E. Marshall, Mohsen RICHARD A. AsKEY, University of Wisconsin, Pourahmadi, Wade C. Ramey, Cora Sadosky, Joel H. Madison; Monday and Tuesday. Shafique Ahmed, Shapiro, Allen L. Shields, David A. Stegenga, Robert George E. Andrews, G. V. Chudnovsky, Alexander S. Strichartz, Peter A. Tomas, Alberto Torchinsky, Dynin, Henry Helson, Mourad E. H. Ismail, Thomas David C. Ullrich and J. Michael Wilson. Kailath, B. F. Logan, Barry M. McCoy, Benjamin Applications of logic to mathematics and com Muckenhoupt, Paul Nevai, L. E. Payne, Raphael puter science, HARVEY M. FRIEDMAN, Ohio M. Robinson, Paul C. Rosenbloom, Kenneth B. State University; Tuesday and Wednesday. Paul Stola.rsky, Joseph L. Ullman, and RichardS. Varga. Bankston, Tim Carlson, Thomas John, Kenneth
416 TIMETABlE MSB - Medical Sciences Building SSH - Sidney Smith Hall
MONDAY, August 23 American Mathematical Society Mathematical Association of America
8:40a.m. - 9:40a.m. INVITEDADDRESS Knots and contsct structures in 3-space John W. Milnor, MSB Auditorium (2158) 8:40 a.m. CQNTRffiUTED PAPER SESSION The use of computers in undergraduate mathematics instruction MSB 4171 9:50 a, m. - 10:50 a.m. INVITED ADDRESS On the theory of the Whittaker integral Barish-Chandra, MSB Auditorium (2158) 9:50 a.m. CONTRffiUTED PAPER SESSION Classroom notes MSB 4279 11:00 a.m. - noon INVITED ADDRESS HP spaces in one and several variables Sun-Yung Alice Cbang, MSB Auditorium (2158) 1:00 p.m. - 2:00 p.m. COLLOQUWM LECTURE I I Convergence in ordinary and partial differential equations Morris W. Hirsch, MSB Auditorium (2158) 1:00 p.m. - 5:00 p.m. EXHffiiTS' East Study Room and 2106, Sidney Smith Hall SPECIAL SESSIONS 2:10 p.m. - 5:00p.m. Bijective proofs in generalized partition theory and enumerative combinatorics I SSH 2110 2:10p.m. - 5:30p.m. The mathematical legacy of Gabor Szegl:l I SSH 2102 2:10 p.m. - 5:30 p.m. Computing theory I SSH 1069 2:10p.m. - 6:00p.m. Classical harmonic analysis I SSH 2118 2:10 p.m. - 5:30 p.m. Number theory I SSH 2117 2:10p.m. - 4:30 p.m. Complexity and digits! signal processing I SSH 1087 SESSION FOR CONTRffiUTED PAPERS 2:10 p.m. - 4:35 p.m. Complex analysis SSH 2135 2:10p.m. - 3:10 p.m. INVITED ADDRESS The last thirty years of harmonic analysis-a personal view Guido L. Weiss MSB Auditorium (2158) 2:10p.m. - 3:10 p.m. Session on Validation of the MAA Placement Examinations William L. Drezdzon Anita Sikes MSB 3154 3:20 p. m, - 5:30 p.m. AMS/MAA JOINT SESSION ON THE HISTORY OF MATHEMATICS I MSB Auditorium (2158) 3:20 p. m, Mathematics and mathematicians in World War II J. Barkley Rosser 4:30 p.m. Homotopy theory: the first twenty-five years George W. Whitehead 6:00 p.m. BEER PARTY University College Quadrangle 7:00p.m. - 8:00 p.m. Open Meeting on retraining mathematicians to teach computer science Ed Dubinsky SSH 2108 7:00p.m. - 8:30p.m. CUPMRecommendations for the training of teachers Donald W. Busbaw (presider) John A. Dossey Marjorie M. Enneking Bruce E. Meserve MSB Auditorium (2158) 417 McAloon, Ani! Nerode, Karel L. Prikry, Rick L. Fixed point theory and applications, S. P. SINGH Smith, Richard Statman, Charles Steinborn, Franklin and SIEGFRIED THOMEIER, Memorial University D. Tall, and Michael von Rimscha. of Newfoundland; Wednesday and Thursday. Miec Discrete and computational geometry, JACOB zyslaw Altman, Felix E. Browder, Robert F. Brown, E. GOODMAN, City College, CUNY; Tuesday, E. W. Cheney, Edward Fadell, Gilles Fournier, Wednesday and Thursday. David Avis, Bernard W. A. Kirk, Mario M. Martelli, M. Zuhair Nashed, M. Chazelle, Fan R. K. Chung, H. S. M. Coxeter, P. L. Papini, W. V. Petryshyn, Simeon Reich, David P. Dobkin, Jacob E. Goodman, Richard K. B. E. Rhoades, Helga Schirmer, V. M. Sehgal, Charlie Guy, L. M. Kelly, Victor Klee, Daniel Kleitman, Waters, William Weiss and J. H. M. Whitfield; Janos Koml6s, Jim Lawrence, Carl W. Lee, W. 0. BiJ'ective proofs in generalized partition theory J. Moser, Richard Pollack, George B. Purdy, Bruce and enumerative combinatorics, HERBERT S. Reznick, N. J. A. Sloane, Godfried T. Toussaint, WILF, University of Pennsylvania; Monday and John E. Wetzel, S. H. Whitesides, Thomas Zaslavsky Tuesday. This session will be in two parts. The and Hans J. Zassenhaus. There will be a one-hour first on Bijective proofs in partition theory has problem session. been arranged so that the papers are sequential. Computing theory, SAUL GORN, University of Participants interested in this session should plan Pennsylvania. This session will be in two parts, and to attend from the beginning of the session at 2:10 will take place on Monday and Tuesday. The first p.m. on Monday, August 23. The speakers for part on Computability and complexity theory is being the Bijective proofs in partition theory session are coordinated by Ronald Book, University of California, Daniell. A. Cohen, Adriano M. Garsia, Basil Gordon, Santa Barbara. Speakers in this session include Jean Jeffrey B. Remmel, and Herbert S. Wilf. The papers H. Gallier, Timothy J. Long, Michael J. O'Donnell, on Enumerative combinatorics are independent of Charles Rackoff, Arto Salomaa, Alan L. Selman, one another. The speakers for this section at 8:00a.m. and Paul Young. The second part on Algorithms is on Tuesday, August 24, are Janet Simpson Beissinger, being coordinated by S. R. Kosaraju, Johns Hopkins Judith E. Dayhoff-Goldberg, Curtis Greene, L. H. University, and Allan Borodilt, University of Toronto. Harper, A.M. Odlyzko and Richard P. Stanley. Speakers in this session include Stephen A. Cook, The session on the History of computing organized Michael L. Fredman, Frank Thomson Leighton, by HENRY S. TROPP has been canceled. Martin Tompa, and L. G. Valiant. The deadline for submission of abstracts for History of mathematics, CHARLES V. JONES, consideration for inclusion in these special sessions University of Toronto; Tuesday. Victor J. Katz, has expired. George Miel, Gregory H. Moore, J. J. Tattersall, Marshall Walker and Ross D. Willard. Contributed Papers Pade approximations and continued fractions, There will be sessions for contributed papers on ARNE MAGNUS, Colorado State University; Wed Monday afternoon, Tuesday morning and afternoon, nesday and Thursday. Richard Askey, George A. Wednesday afternoon, and Thursday morning. The Baker, Jr., Claude Brezinski, D. V. Chudnovsky, deadline for submission of abstracts of contributed Marcel G. de Bruin, Albert Edrei, David A. Field, papers has expired. Walter Gautschi, Jacek Gilewicz, John Gill, William Late papers will not be aeeepted. B. Gragg, P. R. Graves-Morris, Lisa Jacobsen, Wil Audio-Visual Equipment liam B. Jones, L. J. Lange, Arne Magnus, Burnett Meyer, Walter M. Reid, W. J. Thron, H. van Rossum, Rooms where special sessions and contributed and Haakon Waadeland. paper sessions will be held will be equipped with an Ergodic theory, NATHANIEL F. G. MARTIN, overhead projector, screen, and blackboard. University of Virginia, Charlottesville; Wednesday Presenters of ten- or twenty-minute papers are and Thursday. Michael Brin, Robert Brooks, J. R. strongly urged to use the overhead projector rather Choksi, Andres del Junco, Adam Fieldsteel, Nathaniel than the blackboard for their presentation in order A. Friedman, A. Katok, Nelson G. Markley, Karl to obtain maximum visibility by all members of the Petersen, E. Arthur Robinson, Jr., Daniel J. Rudolph, audience of the material being presented. Peter Clive Sarnak, Ralf J. Spatzier, and Laif Other AMS Sessions Swanson. At the invitation of the AMS Program Committee, Nonlinear partial differential equations in ETTORE F. INFANTE, Division Director of the physics and geometry, JILL P. MESIROV, Institute Mathematical and Computer Sciences Section of the for Defense Analyses and ROBERT L. BRYANT, National Science Foundation, will speak at 8:30 p.m. Rice University; Wednesday and Thursday. Dennis on Wednesday, August 25, on Federal support for M. DeTurk, Arthur M. Jaffe, Richard G. Klotz, Vin the mathematical sciences: some simple facts on cent Montcrief, Wei-Ming Ni, V. I. Oliker, Thomas some difficult questions. H. Parker, Jon T. Pitts, J. Spruck, and Deane Yang. Mathematics of complexity and noncausal think Joint AMS-MAA Sessions ing, THOMAS L. SAATY, University of Pittsburgh; The AMS and MAA are jointly sponsoring a series Tuesday. Joyce M. Alexander, Wes Gerrish, Hamid of one-hour addresses on topics in the history of Gholamnezhad, Kenneth H. Mitchell, Luis G. Vargas, mathematics. The speakers and the titles of their and Ronald R. Yager. talks are:
418 TIMETABLE MSB - Medical Sciences Building SSH - Sidney Smith Hall
TUESDAY, August 24 American Mathematical Society other Organizations
SPECIAL SESSIONS 8:00a.m. - 10:50 a.m. Bijective proofs in generalized partition theory and enumerative combinatorics II SSH 2110 8:00a.m. - 10:50 a.m. The mathematical legacy of Gabor SzegH II SSH 2102 8:00a.m. - 10:50 a.m. Computing theory II SSH 1069 8:00a.m. - 10:50 a.m. Classical harmonic analysis II SSH 2118 8:00a.m. - 10:50 a.m. Number theory II SSH 2117 8:00 a.m. - 10:50 a.m. Mathematics of complexity and noncausal thinking SSH 1086 SESSION FOR CONTRffiUTED PAPERS 8:00 a.m. - 9:55 a.m. Topology ssa: 2108 SPECIAL SESSIONS 8:00 a.m. - 10:50 a.m. Applications of logic to mathematics and computer science I MSB 2173 8:00 a.m. - 10:50 a.m. History of mathematics MSB 3163 SESSION FOR CONTRffiUTED PAPERS 8:00 a.m. - 10:25 a.m. Differential equations MSB 2172 8:30 a.m. - 4:30 p.m. REGISTRATION Lobby, Sidney Smith Hall 8:30 a.m. - 4:30 p.m. AMS BOOK SALE MAA BOOK SALE Lobby, Sidney Smith Hall ILobby, Sidney Smith Hall 8:30 a.m. - 4:30 p.m. EXHffiiTS East Study Room and 2106, Sidney Smith Hall 8:40 a.m. - 9:40 a.m. MAA - INVITED ADDRESS Greedy algorithms Alan J. Hoffman MSB Auditorium (2158) 8:40 a.m. - 9:40 a.m. MAA - INVITED ADDRESS The pending death of the mathematics major Clarence F. Stephens MSB 3154 SPECIAL SESSION 9:00 a.m. - 10:50 a.m. Complexity and digital signal processing II SSH 1087 9:50 a.m. - 10:50 a.m. MAA - INVITED ADDRESS Some mathematical morsels Ross A. Honsberger MSB Auditorium (2158) 11:00 a.m. - noon MAA- THE EARLE RAYMOND HEDRICK LECTURES: Lecture I Topological. combinatorial, and geometric fractals: Elementary fractals James W. Cannon MSB Auditorium (2158) 1:00 p.m. - 2:00 p.m. COLLOQUIUM LECTURE II Convergence In ordinary and partial differential equations Morris W. Hirsch, MSB Auditorium (2158) 2:10 p.m. - 3:10 p.m. MATHFILE: The online version MAA- INVITED ADDRESS of Mathematical Reviews. Recent results In noncommutative Taissa Kusma Galois theory John L. Selfridge M. Susan Montgomery SSH 2102 MSB Auditorium (2158) SESSIONS FOR CONTRffiUTED PAPERS 2:10 p.m. - 3:05 p.m. Logic and foundations SSH 1069 2:10 p.m. - 3:05 p.m. Algebraic geometry SSH 2135
419 CLIFFORD A. TRUESDELL ill, Johns Hopkins University, and STUARTS. ANTMAN, University of Maryland, College Park, The influence of elasticity on analysis. Professor Truesdell will speak on The classical heritage, and Professor Antman on Modem developments. J. BARKLEY ROSSER, Mathematics Research Center, University of Wisconsin, Madison, Mathe matics and mathematicians in World War IL GEORGE W. WHITEHEAD, Massachusetts In stitute of Technology, Homotopy theory: the first twenty-five years. JEAN A. DIEUDONNE, Nice, France. The work of Bourbaki during the past thirty years. The joint session on the 1982 International Congress of Mathematicians has been canceled. Council Meeting The Council of the Society will meet at 5:00 p.m. on Sunday, August 22, in the Governing Council Chamber of Simcoe Hall. Business Meeting James W. Cannon, MAA Hedrick Lecturer The Business Meeting of the Society will take place immediately following the Steele Prize Session ACTMTIES OF OTHER ORGANIZATIONS on Wednesday, August 25, in the Medical Sciences Building Auditorium. The secretary notes the The Mathematical Association of America following resolution of the Council: Each person who (MAA) will hold its 62nd summer meeting August attends a Business Meeting of the Society shall be 23-26 (Monday- Thursday). The Business Meeting willing and able to identify himself as a member of the MAA will take place at 4:30p.m. on Tuesday, of the Society. In further explanation, it is noted August 24, at which the Carl B. Allendoerfer, Lester that each person who is to vote at a meeting is R. Ford, and George P6lya awards will be presented. thereby identifying himself as and claiming to be The 31st Earle Raymond Hedrick Lectures will be a member of the American Mathematical Society. given by JAMES W. CANNON of the University For additional information on the Business Meeting, of Wisconsin, Madison. The title of this series of please refer to the announcement titled Committee three lectures is Topological, combinatorial, and on the Agenda for Business Meetings. geometric fractals. The topics of the three lectures are Elementary fractals, F'ractals in topological Committee on the Agenda for Business Meetiugs manifolds, and Hyperbolic groups and fractals at The Society has a Committee on the Agenda for Business Meetings. The purpose is to make Business infinity. Meetings orderly and effective. The committee does The MAA has scheduled sessions for contributed not have legal or administrative power. It is intended papers. Papers were accepted on various topics in that the committee consider what may be called "quasi collegiate mathematics for presentation in contributed political" motions. The committee has several possible courses of action on a proposed motion, including but paper sessions. The topics selected for this meeting not restricted to are: (a) doing nothing; The undergraduate mathematics curriculum; (b) conferring with supporters and opponents to arrive Special concerns: remediation, articulation, and at a mutually accepted amended version to be circulated in advance of the meeting; math anxiety; (c) recommending and planning a format for debate The use of computers in undergraduate mathe to suggest to a Business Meeting; matics instruction; (d) recommending referral to a committee; Classroom notes. (e) recommending debate followed by referral to a committee. Presentations are normally limited to ten minutes, There is no mechanism that requires automatic although selected contributors may be given up to submission of a motion to the committee. However, if a twenty minutes. The deadine for submission of motion has not been submitted through the committee, papers for these sessions has expired. it may be thought reasonable by a Business Meeting to refer it rather than to act on it without benefit of the The MAA will sponsor two minicourses dealing advice of the committee. with applications of computing in mathematics The committee consists of Everett Pitcher (chairman), instruction. One is for novices and the other for Marian B. Pour-El, ~avid A. Sanchez, and Guido L. users. The course for users (#1) will meet from 1:00 Weiss. In order that a motion for the Business Meeting of p.m. to 5:00 p.m. on Sunday, August 22, and the August 25, 1982, receive the service offered by the course for novices (#2) will meet from 7:00 p.m. to committee in the most effective manner, it should be in 10:00 p.m. on Sunday and Tuesday evenings. the hands of the secretary by July 26, 1982. Minicourse #2 for novices titled Introduction to Everett Pitcher, Secretary microcomputers in mathematics instruction will be
420 TIMETABLE MSB - Medical Sciences Building SSH - Sidney Smith Hall
TUESDAY, August 24 American Mathematical Society Other Organizations
SPECIAL SESSION 2:10 p.m. - 4:30 p.m. Discrete and computational geometry I MSB 3171 INVITED ADDRESS 3:20 p.m. - 4:20 p.m. Constructive aspects of the theory of the Pisot and Salem numbers David w. Boyd, MSB Auditorium (2158) 3:20 p.m. - 4:20 p.m. MAA- CONTRIBUTED PAPER SESSION (Tentative) 4:30 p.m. - 5:30 p.m. MAA - BUSINESS MEETING MSB Auditorium (2158) 5:30 p.m. - 6:30p.m. Association for Women in Mathematics OPEN PARTY, Hart House Quadrangle SPECIAL SESSIONS 7:00 p.m. - 9:20 p.m. The mathematical legacy of Gabor Szegll III SSH 2102 7:00 p.m. - 10:20 p.m. Classical harmonic analysis III SSH 2118 7:00 p.m. - 9:50 p.m. Number theory III SSH 2117 7:00 p.m. - 10:00 p.m. Pi Mu Epsilon- RECEPTION Wilson Hall New College Cafeteria 7:00 p.m. - 10:00 p.m. MAA- MINICOURSE #2 Introduction to microprocessors in mathematics instruction Klaus E. Eldridge Donald 0. Norris SSH 1088
WEDNESDAY, August 25 AMS Other Organizations
8:30 a.m. - 4:30 p.m. REGISTRATION Lobby, Sidney Smith Hall 8:30 a.m. - 4:30 p.m. AMS BOOK SALE MAA BOOK SALE Lobby, Sidney Smith Hall ILobby, Sidney Smith Hall 8:30 a.m. - 4:30p.m. EXHIBITS East Study Room and 2106, Sidney Smith Hall 8:40 a.m. - 9:40 a.m. INVITED ADDRESS Algebras, their representations and the Discrete Fourier Transform Shmuel Winograd, MSB Auditorium (2158) 8:40 a.m. MAA - CONTRIBUTED PAPER SESSION Undergraduate Mathematics Curriculum MSB 3163 8:40a.m. MAA - CONTRIBUTED PAPER SESSION Special concerns: remediation, articula tion, and math anxiety MSB 3171 9:00 a.m. - 9:50 a.m. AWM- MEMBERSHIP MEETING MSB 3154 9:00 a.m. - 11:30 a.m. liME- CONTRIBUTED PAPER SESSION MSB 2172 9:50 a.m. - 10:50 a.m. INVITED ADDRESS Map colorings and differential equations W. T. Tutte, MSB Auditorium (2158) 9:50 a.m. - 10:50 a.m. AWM- PANEL DISCUSSION Women mathematicians in Canada Reine Fournier Mary McLeish Cathleen S, Morawetz (moderator) Alice Turner MSB 3154
421 conducted by KLAUS E. ELDRIDGE and DONALD will take place at 9:00a.m. on Wednesday. AWM 0. NORRIS of Ohio University. This is a repeat of will sponsor an Open Party at 5:30 p.m. on Tuesday the very popular course offered in Pittsburgh (August evening. This event is scheduled to take place on the 1981) and Cincinnati (January 1982). The course Hart House Quadrangle. In case of rain, it will be consists of a brief introduction to BASIC followed moved to the Music Room in Hart House. by a discussion of how computers can be used in a variety of courses. The discussion will include OTHER EVENTS OF INTEREST traditional examples from calculus and differential Book Sales equations, as well as simulation models in liberal Books published by the AMS and the MAA will arts courses or mathematics education courses. It is be sold for cash prices somewhat below the usual planned that microcomputers will be available for use prices when these same books are sold by mail. by the participants. These discounts will be available only to registered Minicourse #1, the more advanced workshop participants wearing the official meeting badge. VISA titled Uses of computers in undergraduate math and MASTERCARD credit cards will be accepted ematics instruction will demonstrate uses of exist for book sale purchases at the meeting. The book ing microcomputer software to enhance instruction sales are open the same days and hours as the in full courses in the undergraduate mathematics Joint Mathematics Meetings registration desk, and curriculum. Software for use in multivariable are located in the meeting registration area. calculus, differential equations, and topics at the Exhibits lower division college level will be demonstrated. The book and educational media exhibits are open Presentations/demonstrations will be given by math from 1:00 p.m. to 5:00 p.m. on Monday, August ematicians who have developed the software and had 23, and from 8:30 a.m. to 4:30 p.m. on Tuesday extensive experience with its use in their courses. It and Wednesday, August 24-25. All participants are is planned for participants to have the opportunity encouraged to visit the exhibits during the meeting. to work with the software themselves on microcom puters. Speakers will include DAVID A. SMITH of MATBFll..E Duke University, Series Editor in Mathematics for An online demonstration of MATHFILE, the CONDUIT; and JOHN L. VAN lWAARDEN, Hope new computerized search service for Mathematical College. Reviews, can be seen in the exhibit area Monday The minicourses are open only to persons who through Wednesday during regular exhibit hours. have registered for the Joint Mathematics Meetings Two printing terminals are available at the booth and paid the registration fee. The minicourses have for those who wish to try their hand at searching separate registration fees of S15 each, and are limited MATHFILE on the BRS or the DIALOG system. to 30 participants each. JOHN L. SELFRIDGE, Executive Editor of The usual MAA film program has been replaced Mathematical Reviews, will speak about MATH by continuous showings. MAA members were invited FILE on Tuesday, August 24 at 2:10 p.m. in 2102 to submit for showing in Toronto films or videotapes Sidney Smith Hall. His talk will be followed by which they have created for classroom or other use. a description of the file and search procedures by TAISSA KUSMA, AMS Database Specialist. The MAA has arranged the 7th annual banquet for by the individuals who have been members of the Association MATHFILE is expected to be available BRS for twenty-five years or more. The banquet will take date of the meeting from the commercial vendor Latham, NY) and place Wednesday evening, August 25, at 5:30 p.m. in (Bibliographic Retrieval Services, Information Services (Palo the Wetmore Hall New College Dining Room. The in the fall from DIALOG The cost of using MATHFILE for BRS after-dinner speaker is PETER J. HILTON who will Alto, CA). is $36-$50 per hour (depending on the speak on The nezt twenty-five years. Tickets will be subscribers volume of use), plus $6 per hour telecommunications on sale at the Transparencies section of the meeting who are not BRS subscribers registration desk, and all interested parties are urged charge. Individuals can now access the system with a $50 deposit to to purchase their tickets before 4:30p.m. on Monday, BRS and can search MATHFILE at $55 per hour. August 23. Ticket prices are S13 U.S. and $15.50 MATHFILE on DIALOG will cost $55 per hour (plus Canadian. telecommunications). Pi Mu Epailon (TIME) will hold its annual meeting The MATHFILE User's Guide, containing all the on Tuesday through Thursday, August 24-26. The information necessary for searching, can be purchased J. Sutherland Frame Lecture will be given at 9:00 during the meeting at $50 list price, $37.50 AMS Wednesday by ISRAEL HAILPERN of the p.m. on member price, U.S. University of Toronto. Professor Hailpern will speak on The changing face of mathematics. Second-hand Book and Journal Exchange The Association for Women in Mathematics At the AMS Book Sale in the lobby of Sidney (AWM) will hold a panel discussion on Women Smith Hall, notebooks will be available with lists of mathematicians in Canada at 9:50 a.m. on Wednes books on mathematics for sale or being sought. There day, August 25. Speakers include Reine Fournier, will be separate notebooks of books for sale and books Mary McLeish, Cathleen S. Morawetz (moderator), wanted, with names and addresses of the owners {or and Alice Turner. The AWM membership meeting seekers). The details of the transactions themselves
422 TIMETABLE MSB - Medical Sciences Bullding SSB - Sidney Smith Hall
WEDNESDAY, August 25 American Mathematical Society Other Organizations
11:00 a, m. - noon MAA- THE EARLE RAYMOND HEDRICK LECTURES: Lecture II Topological, combinatorial, and geometric fractals: Fractals in topological manifolds James W. Cannan MSB Auditorium (2158)
noon - 1:00 p. m, IIME - COUNCIL LUNCHEON High Table Area, Wilson Hall New College Cafeteria 1:00 p.m. - 2:00 p. m, COLLOQUWM LECTURE ill Convergence in ordinary and partial differential equations Morris W. Hirsch, MSB Auditorium (2158) 1:00 p.m. - 2:00 p.m. MAA - INVITED ADDRESS Calculus examination and grading by computer Edward L. Spitznagel MSB 3154 SPECIAL SESSIONS 1:00 p.m. - 3:20 p.m. Discrete and computational geometry II MSB 3171 1:00 p.m. - 3:20 p.m. Fixed point theory and applications I MSB 3163 1:00 p.m. - 3:20 p.m. Applications of logic to mathematics and computer science II MSB 2173 1:00 p.m. - 3:20 p.m. Ergodic theory I SSB 1087 1:00 p.m. - 3:20 p. m, Nonlinear partial differential equations in physics and geometry I SSH 1085 1:00 p.m. - 3:20 p.m. Pade approximations and continued fractions I SSH 2102 SESSIONS FOR CONTRffiUTED PAPERS 1:00 p.m. - 3:10 p.m. Combinatorics SSB 1069 1:00 p.m. - 3:10p.m. Number theory SSB 2118 1:00 p.m. - 2:25p.m. Algebra I SSB 2108 1:00 p.m. - 2:55p.m. Algebraic and geometric topology SSH 2117 1:00 p.m. - 3:25p.m. General analysts SSB 2110 2:10p.m. - 4:20p.m. AMS/MAA JOINT SESSION ON THE HIST 423 are to be arranged by the participants, and the AMS Special applicant and employer forms will be will not accept responsibility for settling disputes if available at the Transparencies section of the arrangements go awry. registration desk both for applicants to post resumes It is necessary to charge a small fee to cover and for employers to post forms announcing positions. the cost of preparing the notebooks. Each person Applicants who submit an applicant form, but do participating who will not be at the meeting is asked not plan to attend the meeting will be listed on the to pay $2 for the first page, and $1 for each additional printed list only. There is no provision made for page (one side is one page). Those who will attend posting resumes for participants who do not attend the meeting may bring their lists with them and the meeting. insert them into the notebooks at no charge. Books for sale must be listed on separate pages from books INFORMATION FOR PARTICIPANTS wanted (as many of either per page as one wishes), and the lists made up on 8.5 inch by 11 inch pages. Important Information on University Please include the information below: Accommodations Books Offered: Name, address, telephone, will or will not be at the meeting. Author, title, We have been advised that as of June 14, publisher, year of publication, condition of book 1982, the Ontario Sales Tax has been changed (for example, slightly used, annotated lightly or to an overall 5 percent. Room rates published heavily, like new), price or books wanted in trade. in the Notices and in the MAA program reflect either 3 percent or 7 percent sales tax, depending Books Wanted: Name, address, telephone, will on whether the room rates include breakfast in or will not be at the meeting. Author, title, the cafeterias. Consequently, the 5 percent tax publisher, edition, price one is willing to pay. imposed on accommdations during the meetings in Lists should have been sent to the Promotion Toronto will cause the rates previously published Department of the Society before July 19, or may be to be slightly higher or lower. brought to the meeting. If brought to the meeting, two copies of each page should be supplied so that University Housing duplicate notebooks can be maintained. Please refer to the map of the campus included Please send your lists to: Promotion Department, in this meeting announcement for location of the AMS, Post Office Box 6248, Providence, Rhode Island following residences: Wetmore, Wilson, Whitney, 02940. Make checks payable to the AMS in U.S. Devonshire, Sir Daniel Wilson, and Margaret Addison funds. If you have questions, call Phoebe Murdock, Halls, as well as those in Knox, Trinity and St. 401-272-9500, extension 237. Michael's Colleges. Summer List of Applicants Participants desiring confirmed reservations for on At the direction of the AM8-MAA-SIAM Com campus housing must have preregistered prior to mittee on Employment Opportunities, which is the July 9, 1982 deadline. Rooms may be available charged with operation of the Employment Register for those who do not preregister, but this cannot be and with the publication Employment Information guaranteed. in the Mathematical Sciences, the Society will No university residence halls may be occupied prior publish a Summer List of mathematical scientists to August 20, with the exception of Scarborough seeking employment, for distribution at the Toronto College, where families or groups may take up meeting in August 1982. residence on August 19. Rates for some residence halls include breakfast; others do not. Vouchers will Copies of the 1982 summer list will be available at be issued at check-in for those participants whose the Transparencies section of the registration desk for room rates include breakfast. Rooms in St. Michael's $2. Following the meeting, they may be purchased College may not be occupied until August 21; from the AMS office in Providence for $3. This therefore, participants in the AMS Short Course list should prove useful to employers who have last and others are advised to choose from among the minute openings in the latter part of the summer or other residence halls listed below if they plan to in the fall. arrive on August 20. All participants must be checked The deadline for reeeipt of applieant forms to out of the residence halls in St. Michael's College, appear in this summer list has expired. Trinity College, New College, Scarborough College, Instead of an Employment Register at the Summer and Whitney, Devonshire, Sir Daniel Wilson, and Meeting in Toronto, there will be an opportunity Margaret Addison Halls by noon on Friday, August for posting of ·both applicant resume forms and 27. Participants residing in Knox College may check employers' announcements of open positions in or out a day later at noon on August 28. Check-out near the main meeting registration area. There time on other days is also noon, and anyone failing to will be no special room set aside for interviews. check out by this time will be charged an additional No provisions will be made by the Society for night's lodging by the university. Breakfasts are not interviews: arrangements will be the responsibility of included in room rates at Scarborough College, or each employer and applicant. Messages may be left in rates charged for children occupying mattresses in in the message box located in the registration area. Whitney Hall or cots in Victoria University (Margaret 424 TIMETABlE MSB - Medical Sciences Building SSH - Sidney Smith Hall WEDNESDAY, August 25 American Mathematical Society Other Organizations SPECIAL SESSION 8:00 p.m. - 10:00 p.m. Discrete and computational geometry m MSB 3171 8:30p.m. - 9:30p.m. Federal support for the mathematical sciences: some simple facts on some difficult questions Ettore F. Infante, MSB Auditorium (2158) 9:00 p.m. - 10:00 p.m. liME- J. SUTHERLAND FRAME LECTURE The changing face of mathematics Israel Halperin MSB 3154 THURSDAY, August 26 AMS Other Organizations 8:00 a.m. - 9:00a.m. liME - DUTCH TREAT BREAKFAST Wilson Hall New College Cafeteria SPECIAL SESSIONS 8:00a.m. - 11:50 a.m. Discrete and computational geometry IV MSB 3171 8:00a.m. - 11:20 a.m. Fixed point theory and appllcations m MSB 3163 8:00a.m. - 10:20 a.m. Pade approximations and continued fractions m SSH 2102 SESSIONS FOR CONTRffiUTED PAPERS 8:00a.m. - 10:25 a.m. General session SSH 1069 8:00a.m. - 9:40 a.m. Algebra II SSH 2108 8:00a.m. - 9:40 a.m. Geometry and topology SSH 2118 8:00a.m. - 11:10 a.m. Functional analysis SSH 2117 8:30 a.m. - 1:30 p.m. ASSISTANCE & INFORMATION DESK Outside MSB Auditorium (2158) 8:40a.m. - 9:40a.m. MAA - INVITED ADDRESS Numerical solution of Navier-Stokes problems bY the dual variable method Charles A. Hall MSB Auditorium (2158) 8:40a.m. - 10:10 a.m. MAA - PANEL DISCUSSION Problems of academic computing centers in four-year colleges Marvin L. Brubaker Thomas Kurtz (moderator) Burt Mendelson MSB 3154 SPECIAL SESSIONS 9:00 a.m. - 11:20 a.m. Ergodic theory II SSH 1087 9:00a.m. - 11:20 a.m. Nonlinear partial differential equations in physics and geometry II SSH 1085 9:10a.m. - noon liME - CONTRffiUTED PAPER SESSION MSB 2172 9:50a.m. - 10:50 a.m. MAA - INVITED ADDRESS The geometry of some flows in 3-space John M. Franks MSB Auditorium (2158) 11:00 a.m. - noon MAA- THE EARLE RAYMOND HEDRICK LECTURES: Lecture m Topological, combinatorial, and geometri fractals: Hyperbollc groups and fractals at infinity James W. Cannon MSB Auditorium (2158) 1:00 p.m. - 2:00p.m. COLLOQUWM LECTURE IV Convergence in ordinary and partial differential equations Morris W. Hirsch, MSB Auditorium (2158) I 425 Family Town Houae Unita: (not air-conditioned - no Types of Accommodations deposit required; available nights of 8/19 through 8/26 [check-out must be 8/27]; rates do not include NOTE: All rates include tax. breakfast). NOTE: For accommodations marked with an asterisk, weekly rate does not include towels, face AD-conditioned Rooma: (available 8/20 through 8/26) cloths, or soap. Malea: Wetmore - (includes breakfast for occupancy on Scarborough College - 11 units available nights of 8/22 through 8/26) (#32 on map) 2 units/4 singles each $16.05 per person per night or $21.50 Single/per person per night $176.55 weekly * $15.50 Double/per person per night 2 units/6 singles each $16.05 per person per night or Wetmore - (no breakf< for occupancy on nights of $214.00 weekly * 8/20 and 8/21) 7 units/2 singles and 2 doubles $20.00 Single/per person per night $16.05/single/per person per night $13.50 Double/per penon per night $13.91/double/person per night Femalea: $214.00 weekly * Wilson- (includes breakfast for occupancy on nights $10.17 per child under 12 per night if occupying a bed. of 8/22 through 8/26) (#32a on map) $21.50 Single/per person per night Wilson- (no breakf< for occupancy on nights of Check-in Times and Locations 8/20 and 8/21) $20.00 Single/per person per night of Residence Halls and Scarborough College Non-aiJ..COilditioned Room&: (available 8/20 through 8/26 or 8/27) Whitney Ball, St. George Street and Hoskins Avenue Malea: (#13 on map) Devonllhire - (includes breakfast for occupancy on 11:00 a.m. -11:00 p.m. nights of 8/22 through 8/26) (#12 on map) Porter on duty 24 hours $20.50 Single/per person per night W"daon Hall, New College, Willcocks Street and Huron Devonllhire - (no breakfast for occupancy on nights Street ( #32a on map) of 8/20 and 8/21) 11:00 a.m. - 11:00 p.m. $19.00 Single/per person per night Porter on duty 24 hours St. Hilda's College, Trinity College - (does not Sir Daniel Wilson, St. George Street (next to Whitney) include breakfast) (#608 on map) (#29 on map) $18.73 Single/per person per night 11:00 a.m. - 11:00 p.m. $12.31 Double/per person per night Porter on duty 24 hours $16.59 Student single nightly rate Wetmore Ball, Classic Avenue and Huron Street (#32 St. Michael's College- (available 8/21 through 8/26; on map) does not include breakfast) (#401-432 on map) 11:00 a.m. - 11:00 p.m. $18.73 Single/per person per night After 11:00 p.m., go to Wilson Hall for key. $12.31 Double/per person per night Devonllhire Ball, Devonshire Place and Hoskin Avenue Knox College- (available 8/20 through 8/27; does (#12 on map) not include breakfast) (#575 on map) 11:00 a.m. - 11:00 p.m. $16.05 Single/per penon per night After 11:00 p.m., go to Whitney Hall for key. $12.84 Student single nightly rate St. Hilda'• College, Trinity College, 44 Devonllhire Place C~ed: Whitney (#13 on map) and Sir Daniel Wilson ( #608 on map) Halls (#29 on map) are available nights of 8/20 through 9:00 a.m. - 5:00p.m. 8/26; rates include breakfast for occupancy on nights of After 5:00p.m., porter is on duty 8/22 through 8/26. Margaret Addison Hall at Victoria Knox College, St. George Street and Willcocks Street University (#508 on map) available nights of 8/20 ( #575 on map) through 8/27; rates include breakfast for occupancy on 9:00 a.m. - 4:00p.m. nights of 8/20 through 8/26. Check-in at Bursar's Office, East Academic Wing, 59 $20.50 Single/per person per night $14.50 Double/per person per night George Street. After 4:00 p.m., pick up key from don on duty (aka resident). The following rates do not include breakfast in Whitney and Sir Daniel Wilson Halls for nights of 8/20 St. Michael'• College, 81 St. Mary Street and Bay Street and 8/21: (#401-432 on map) $19.00 Single/per person per day 8:00 a.m. - 8:00 p.m. $12.50 Double/per penon per day Check-in at Porter's Office, lower Elmsley Hall at Mail Room. After 8:00 p.m. go to switchboard at 50 Children'• Ratea: (applicable to rooms in Whitney Hall St. Joaeph Street located in Clover Hill Wing east of and Victoria University only) church. $7.49 - Daily mattress charge payable on arrival for children agea 1~14 in Whitney Hall in room Margaret Addison Ball, Victoria University - Charles with parent&. Children's meals are not included in Street West at University Avenue (#508 on map) mattress charge but may be purchased a Ia carte. 24 hour check-in at desk in Child of age 15 or over must occupy a bed and pay Margaret Addison Hall adult single rate which includes breakfast. Scarborough College (Block A}, Military Trail, West $5.35 - Daily cot charge for children agea 4 to Hill, Ontario (south of route 401} 12 in Victoria University (Margaret Addison Hall); Check-in will be handled on an individual basis if breakfast is not included in cot charge. Child of 12 arrival time is given on housing form, or go to residence or over must occupy bed and pay adult single rate trailer next to Block A, which is open on weekdays from which includes breakfast. 9:00 a.m. to 5:00 p.m. 426 TIMETABLE MSB - Medical Sciences Building SSH - Sidney Smith Hall THURSDAY, August 26 American Mathematical Society Other Organizations SPECIAL SESSIONS 1:00 p.m. - 3:20 p.m. Discrete and computational geometry V MSB 3171 1:00 p.m. - 2:50 p.m. Ergodic theory III SSH 1087 1:00 p.m. - 3:20 p.m. Fade approximations and continued fractions IV SSH 2102 1:00 p.m. - 2:00 p.m. MAA - INVITED ADDRESS Some new proofs of some old theorems Dorothy Maharam Stone MSB 3154 2:10 p.m. - 3:10 p.m. MAA - INVITED ADDRESS The fruitful analogy: algebraic number theory, algebraic geometry, and topology Stephen S. Shatz MSB Auditorium (2158) 3:20 p.m. - 4:20 p.m. INVITED ADDRESS Winding numbers and Fourier transforms Brent Pendleton Smith, MSB Auditorium (2158) 3:30 p.m. - 5:00 p.m. liME - CONTRffiUTED PAPER SESSION \ MSB 2172 4:30 p.m. - 5:30 p.m. INVITED ADDRESS Recent developments in statistical mechanics Joel L. Lebowitz, MSB Auditorium (2158) I SELECTED TRANSLATIONS IN MATHEMATICAL STATISTICS AND PROBABILITY L. Z. Liv~ic, On some conditions for the absence of indecomposable components in infinitely divisible VOLUME 15 laws. edited by Lev;. Leifman G. P. l:istjakov, On the precision of the estimates in theorems on stability of decompositions of normal and Poisson distributions. A. I. ll'inskii, The indecomposable components of some infinitely divisible laws. The books in this series are published for the A. D. Milka, lndecomposability of a convex surface. Institute of Mathematical Statistics. The papers are I. V. Ostrovskii and P. M. Flekser, Remark on the selected by a joint committee of the IMS and AMS. argument of a characteristic function. CONTENTS: A. A. Gol'dberg and I. V. Ostrovskii, On the I. V. Ostrovskii, Description of the class lo in a growth of entire ridge functions with real zeros. special semigroup of probability measures. B. N. Ginzburg, On the growth of entire character- L. D. Me~alkin and B. A. Rogozin, An estimate of istic functions of multidimensional probability the distance between distribution functions in laws. terms of the proximity of their characteristic B. I. Grigelionis, On stochastic equations for non- functions and its application to the central limit linear filtering of random processes. theorem. I. I. E~ov and V. S. Koroljuk, Limit theorems for a V. M. Zolotarev, The analytic structure of infinitely class of conditional Markov processes. divisible laws of class L. I. N. Volodin, On discriminating between types con- G. P. l:istjakov, On the stability of the decomposi- nected with the generalized gamma distribution. tion for a class of infinitely divisible laws. Endre Csaki, Investigations concerning the empirical A. E. Fryntov, On ex-components of infinitely divis- distribution function. ible laws. 1980 Mathematics Subject Classification: 60, 62 L. S. Kudina, On the closure of the set of indecom- Volume 15, vi + 317 pages posable distributions with given spectrum. List price $50.00, institutional member $37.50, L z L' • individual member $25.00 • . IV>ic, On some conditions for the absence of ISBN o-8218-1465-6; LC 61-9803 indecomposable components in infinitely divisible Publication date: December 1981 laws. I, II. To order, please specify STAPROI15N Prepayment is required for all AMS publications. Order from AMS, P.O. Box 1571, Annex Station, Providence, Rl 02901, or call toll free 800-556-7774 to charge with Visa or MasterCard. 427 Addison Hall). Children's meals may be purchased There are elevators serving each floor in the high-rise a Ia carte in the cafeterias. (See section on Food dormitories. All residence halls have smoke alarms. Services.) Students may obtain accommodations No pets are allowed in the residence halls. Alcoholic in Trinity College at a reduced rate. Facilities for beverages are not prohibited; however, residents are students at Knox College at a special rate are limited required to exercise moderation. to one large room containing 7 single beds. (See There will be no telephone service in any of the Types of Accommodations.) residence hall rooms, but there are pay telephones There are three types of accommodations available and campus telephones available in the public lobby for participants at the University of Toronto: air areas and about the campus. conditioned rooms, non-air-conditioned rooms, and There are coin-operated vending machines (with family units at Scarborough College, a half-hour's to the exception of Trinity College) and laundromats in one hour's drive by auto, or one- to one-and-a-half each hall; however, participants are advised to bring hour's ride on public transportation at the height of their own detergent. Irons and ironing boards are the rush hours (7:00 a.m. to 9:30 a.m. and 3:30 p.m. available in some of the residence halls. to 6:30 p.m.). Temporary parking outside residence hall check-in Scarborough College is located about 17 miles from points will be allowed for 10 -15 minutes. See the the University of Toronto in a rural area just south of section on Parking for further information. route 401. There is free parking for participants near No more than two adults may occupy a room at the town house units on campus. There are eleven the same time. Only one child may occupy the same units; each unit is fully equipped for housekeeping. room with its parents. Rules regarding children vary There is no maid service provided. The town houses in the three residences set aside for families: Victoria contain 4 or 6 single beds, or 2 singles and 2 doubles University, Whitney Hall, and Scarborough College. for a total of 6 occupants. Parents may bring cribs Please refer to the section below for information on for infants; however, cribs may also be rented. (See accommodations for families. No cribs for children section on Crib Rental.) Bed linen is provided, as are are available from the university. (See the section on towels, face cloths, and soap for those participants Crib Rental.) paying a daily rate; however, towels, face cloths Room rates for the nights of August 22 through and soap are not included in the weekly rates. 26 will include breakfast in the cafeteria in Wilson (See Types of Accommodations.) It may also be Hall, New College, for those participants residing advisable to bring coat hangers. in Wetmore, Wilson, Whitney, Devonshire and Sir Scarborough College is northeast of Toronto and Daniel Wilson Halls. Rates for occupancy in these can be reached from route 401 east or west by taking halls for the nights of August 20 and 21 are exit 61. Go south on Morningside Avenue and turn prorated since that cafeteria is closed on weekends left on Military Trail. The campus is located south and breakfast not available. Room rates for adult of Ellesmere Road on right. For those arriving from participants residing in Margaret Addison Hall in the U.S. either from Buffalo or Niagara Falls, take Victoria University include breakfast in Brennan Hall It is expected that the Queen Elizabeth Way (QEW). Stay on the QEW across the street (#411 on map). weekends; however, through Toronto to Don Valley Parkway to route 401. this cafeteria will be open on should there be a change in this plan, reimbursement Proceed east to exit 61 and go south on Morningside will be made by Victoria University for the amount Avenue as stated above. charged for the breakfast(s). Please note that The famous Metropolitan Toronto Zoo is located mattress and cot rates for children residing in either within a bus ride of the Scarborough campus, as is Whitney or Margaret Addison Halls do not include the Ontario Science Center. Please note that the breakfast as indicated in the following section. 75 cents is required for bus and subway exact fare of Those preregistering and requesting university fare. housing before the July 9 deadline must have The university and the respective residence halls included a $15 room deposit (nonrefundable after are not responsible for articles left behind after July 15) for all residences except Scarborough check-out. College. (Details are given below.) The deposit The university regrets that it is unable to provide must be submitted at the same time as the porters to assist participants with their luggage. preregistration/housing form. Forms received In each residence hall (with the exception of without the deposit will be returned. Knox College which does not supply towels, face NOTE: Should it be necessary for participants cloths or soap), two sheets, a pillow, one pillowcase to cancel their preregistration and housing, they and blanket are provided for each bed occupied, as should be aware that the housing deposits can be well as a set of towels, soap and drinking glass. No refunded only up to July 15. Those wishing to face cloths are supplied. It is also suggested that cancel should write or telephone the Mathematics the participant bring clothes hangers in the event Meetings Housing Bureau ( 401-272-9500, ext. 239) there are none in the room assigned. Housekeeping before this deadline. No refunds of housing will clean rooms daily, but will not make the beds. deposits ean be made after these monies have Rooms are equipped with desks, chairs, dressers, been turned over to the university. As has been the and lamps, and have either one or two single beds. custom, 50 percent of the preregistration fee(s) will 428 be refunded if the Mathematics Meetings Housing restaurants within easy walking distance and in the Bureau is notified of the cancellation prior to the moderate price range. deadline date of August 20. Any changes in Breakfast will be served in the cafeterias from 7:15 arrival and departure dates must be made with a.m. to 9:00 a.m.; lunch from noon to 1:30 p.m.; the Mathematics Meetings Housing Bureau until and dinner from 5:00 p.m. to 6:30 p.m. A typical August 20 (401-272-9500, ext 239}. After 4:00 breakfast consists of 2 eggs, 2 slices bacon/ham, 2 p.m. on August 22, please eall Mary A. Coccoli at slices toast/jam, 2 beverages and one fruit. The the Telephone Message Center in Toronto. lunch and dinner meals may be purchased a Ia carte. All those who request university housing in Lunch would include soup and salad, one entree, roll, advance will receive a written confirmation from butter, 2 beverages and one dessert. A typical dinner the Mathematics Meetings Housing Bureau. This would be soup and salad, one entree, potato and confirmation should be presented to the university vegetable, roll, butter, 2 beverages, one fruit and one clerk at time of check-in. The remainder due for dessert. Coffee is unlimited if selected as choice of the duration of each participant's stay as originally beverage. No seconds are allowed. requested on his or her preregistration/housing The cost of breakfast in the cafeterias for those form is due in full at time of check-in. Cash, not on the breakfast plan is $2.50-$2.75, and for personal checks and travelers' checks in Canadian those participants and their families wlio prefer to funds will be accepted. U.S. funds will be taken take their meals in the cafeteria, the cost of lunch is at par. Credit cards will not be accepted. Checks $3.90-$4.10, and dinner $5.00-$5.50. must be made payable to either the University of Scarborough College provides full food service a Ia Toronto or to the college or university to which the carte in its cafeteria, which is open Monday through participant has been assigned. Friday from 9:00 a.m. to 4:00 p.m. Refundable key deposits of $3 to $5 are mandatory Hotel Accommodations at check-in; however, this deposit will be forfeited if Blocks of rooms have been set aside for use by a key is lost. All keys open doors to rooms, and, in participants at the hotels listed below. Participants some residences, will open outer doors also. should make their own reservations early, either Individuals who fail to preregister and obtain directly with the hotels, or with the Toronto Meetings confirmed university accommodations must go to Travel Hotline when booking airline reservations. In the meetings registration desk (Housing Section} either case, participants should identify themselves in the lobby of Sidney Smith Hall (#33 on map) as participants in the Joint Mathematics Meetings. on St. George Street in order to receive a room The rates listed below are subject to change, and to assignment, if rooms are still available. It is a 7 percent Ontario Sales Tax; all rates are quoted in suggested that these individuals bring a set of towels, Canadian dollars. face cloths, soap, and clothes hangers in the event The following codes apply: AC = Air Conditioned; they are assigned to Knox College. Since the CL = Cocktail Lounge; FP = Free Parking; RT = number of rooms being held for latecomers is limited, Restaurant; SP = Swimming Pool; TV = Television. everyone is urged to preregister and obtain housing The age limit for children below which there is no in advance in order to avoid disappointment. Again, charge, providing a cot is not required and they are no guarantee can be made that the university will be in the same room as a parent, is shown in parentheses able to make rooms available for last-minute arrivals. on the same line as the charge for an extra person Food Services in the room. In all cases "Single" refers to one person in one bed; "Double" refers to two persons in Breakfast for those participants staying in Wet one bed; "Twin" refers to two persons in two beds. more, Wilson, Whitney, Sir Daniel Wilson, and A rollaway cot for an extra person can be added Devonshire Halls will be served in the cafeteria to double or twin rooms only. Participants will be located in Wilson Hall, New College, beginning on advised of deposit requirements by the hotels at time Monday, August 23, and ending on Friday, August of confirmation. 27. No meals will be served in the Wilson Hall, New Park Pla1a Hotel (A on campus map) College, cafeteria on weekends. Participants staying Avenue Road, Toronto, Ontario (M5R 2E8) in Margaret Addison Hall, Victoria University, will 4 Telephone: (416) 924-5471 use the cafeteria in Brennan Hall (#411 on campus map). It is anticipated that this cafeteria will be Single: $85 Double: $95 open on the weekend prior to the Joint Meetings. Extra person in room: $10 (15 years) Participants staying in residence halls on campus Code: AC, TV (in-home movies), CL, RT whose room rates include breakfast will be issued The deadline for reservations was July 26. vouchers at check-in as proof of payment. Children's Royal York (20-30 minute walk) room rates (if not occupying a bed) do not include 100 Front Street West, Toronto, Ontario (M5J 1E3) breakfast. Telephone: (416) 368-2511 It is likely that those attending the AMS Short Single: $76 Twin: $91 Course on August 21-22 or still on campus on Extra person in room: $16 (15 years) Saturday, August 28, must eat off-campus. The Code: AC, TV, CL, RT University of Toronto campus is surrounded by many The deadline for reservations was July 28. 429 University of Toronto Numerical directory and 81 St. George Grad. Residence [3Al location guide 83 254-56 McCaul St. [3EJ 84 91 St. George St. [3B] Relations Centre [3AJ 1 University College [3C] 88 Industrial Office [3A] 2 Hart House [4C] 89 Admissions 88 College St. [6E] 3 Sigmund Samuel Library Bldg. [40] 90 [2Bl 4 McMurrich Building [ 40] 91 Studio Theatre E. [5CJ 5 Medical Sciences Building [40] 95 43 Queen's Park Cres. Park Cres. E. [5CJ 6 John P. Robarts Research Lib. [2Bl 96 47 Queen's E. [5C] Sa Library Science Building [2B] 97 39 Queen's Park Cres. & Technology Centre 6b Thomas Fisher Rare Book Lib. [2BJ 97a Culture 7 Mining Building [3E] [5CJ B Wallberg Building [3E] 99 121 St. Joseph St. [5CJ Sa Metallurgy Building [3E] 103 Sch. of Continuing Studies [2Al Analysis [2Al 9 Sandford Fleming Labs. [3EJ 104 Institute for Policy 10 Simcoe Hall [30] 110 MediaCentre[3A] [3Al 10a Convocation Hall [30] 111 246 Bloor St. West (Vladimir 11 Botany Building [4El 113 651 Spadina Ave. 12 Devonshire House [3BJ House)[1B] [3B] 13 Whitney Hall [3Cl 115 97 St. George St. Field House 14 Faculty of Education [2AJ 117 W. B. MacMurray 15 Lillian Massey Building [SA] [1B] 16 Banting Institute [5El 120 Old Observatory (SAC)[4C] 19 U. ofT. Press/Bookroom [30] 125 703 SpadinaAve. [1Al [2B] 20 Rosebrugh Building [4EJ 132 Innis College 21 Engineering Annex [3E] 138 370 Huron St.I2B] Care 22 Mechanical Engineering Bldg. [3E] 141 Margaret Fletcher Day 23 Women's Union [3C] Centrei3Al 24 Haultain Building [4EJ 170 167CollegeSt. [3E] [1 El 25 FitzGerald Building [ 4E] 171 455 Spadina Ave. House [30] 26 Cumberland House [3E] 172 MacDonald-Mowat 27 Forestry Building [30] 174 203 College St. [3El Bloor St. W.11A] 28 Architecture Building [2El 178 342-44 180 Faculty of Educ. Registrar [2A] 2g Sir Daniel Wilson Residence [3Cl Ont.lnst.torStudies in Educ. [3A] 30 Varstty Stadium [3AJ 181 30a Varsity Arena [4AJ 401-432 St. Michael's College 31 16 Hart House Circle [4CJ 501-524 Victoria University 32 New College (Wetmore Haii)[2C] 550 Toronto Sch. of Theology [6A] 32a New College (Wilson Hall) [1 CJ 575 Knox College [30] 33 Sidney Smilh Hall [2Cl 600-608 Trinity College [3B] 34 Massey College 675 Wycliffe College [4C] 35 Royal Conservatory of Music [ 4A] Teaching Hospitals (below) Building [2Dl 36 Nursing 961 Toronto Western Hospital 37 David Dunlap Observatory (below) 962 Princess Margaret Hospital 3Ba Woodsworth College[3Al 963 Wellesley Hospital 3Bb Drill Hall [3A] St. Michael's Hospital 39 49 St. George st. [30] 964 Sick Children 40 Flavetle House [4B] 965 Hospital for 43 School of Graduate Studies [30] 966 Sunnybrook Medical Centre 45 Infirmary [20] 967 Mt. Sinai Hospital 46 44St. George St. [20] 968 Women's College Hospital 49 Aerospace Building (below) 969 Toronto General Hospital 50 Falconer Hall [4B] 970 Clarke Institute of 51 Edward Johnson Building [4B] 971 52 Best lnstitute.[SEJ 972 53 Institute of Child Study (below) 54 1 Spadina Crescent[ I DJ 56 Graduate Students' Union [20] 57 Textbook Store [20] 56 Health Service [20] Alphabetical directory 59 Bancroft Hall [20] 61 South Borden Building [20] Addison (Marg.) Hall {Victoria) 61 a North Borden Building [20] Brennan Hall (St. Michael's) 411 63 631 SpadinaAve. [1C] Devonshire House 12 Building (below) 65 Dentistry Fletcher {Marg.) Day Care Ctr. 141 67 215 Huron Street [2E] 575 68 Benson Building [2Cl Knox College 68a Athletic Complex Medical Sciences lnst. 5 (proposed)[ I C) St. Michael's College 400's 69 Alumni House [1 DJ Sidney Smith Hall 33 70 Galbraith Building [3El Simcoe Hall 10 71 92 College St. [6EJ Trinity College 600 72 Ramsay Wright Zoological Labs. Victoria UniversitY 501 [2C] Wetmore Hall (New College) 32 73 Lash Miller Chemical Labs. [20] Whitney Hall 13 74 561 SpadinaAve. [1 OJ Wilson Hall (New College) 32a 75 Faculty Club [20] Wilson (Sir Daniall Residence 29 76 Information Services Dept. [1 DJ n Sussex Court [2B] 78 Mclennan Physical Labs. [20] @ = Park Plaza Hotel Burton Tower 79 Hughes Pharmacy Bldg [20] @ = Subway station 430 St. George Campus ® ® ~~~r --"-=""-'-- tul l --,--,1 [ \ ~...4i:llftjji'lf~ ( l - 431 Carlton Inn (20-30 minute walk) AMS or MAA or both, provided they join before 30 Carlton Street, Toronto, Ontario (M5B 2E9) September 26, 1982. Telephone: (416) 977-6655 Nonmember students who register at the meetings Single: $39 Twin or Double $46 and pay the $12 ($15) registration fee are also entitled Extra person in room: $7 (13 years) to a discount of the difference between the student Code: ACl TVh CL, RT, SP, sauna, small preregistration fee of $8 ($10) and the registration fee refrigerator m eac room of $12 ($15) as a $4 ($5) credit against dues in either The deadline for reservations was August 1. the AMS or MAA or both, provided they join before The Park Plaza Hotel has underground parking September 26, 1982. for $5.75 for 24 hours; the Royal York has sheltered Nonmembers and nonmember students who thus parking for $6 per day; the Carlton Inn has qualify may join at the meetings, or by mail underground parking for $2.50 per day. afterwards up to the deadline. Registration at the Meetings Registration Dates and Times AMS Short Course Meeting preregistration and registration fees only partially cover expenses of holding meetings. All Outside Room 3153, Medical Sciences Building 11:00 a.m. to 4:00 p.m. mathematicians who wish to attend sessions are Saturday, August 21 expected to register, and should be prepared to show Sunday, August 22 8:00 a.m. to 2:00 p.m. 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. Entrance Lobby, Sidney Smith Hall Either U.S. or Canadian funds will be accepted. Sunday, August 22 4:00p.m. to 8:00p.m. AMS Short Course U.S. Canadian Monday, August 23 8:00a.m. to 4:30p.m. Student/Unemployed $10 $12 Tuesday, August 24, All Other Participants $30 $37 and 8:30 a.m. to 4:30 p.m. One-day Fee (Second Day Only) $15 $18 Wednesday, August 25 Joint Mathematics Meetings Assistance and Information Desk Member of AMS, MAA, IlME $48 $58 Outside Medical Sciences Building Auditorium Emeritus Member of AMS, MAA $12 $15 (MSB 2158) Nonmember $7 4 $90 Thursday, August 26 8:30 a.m. to 1:30 p.m. Student/Unemployed $12 $15 Please note that the Joint Mathematics Meetings MAA Minicourses #1 and #2 registration desk will not be open on Thursday, All Participants $15 each $18 each August 26, and that the telephone message center will not be in operation that day. Other services Registration fees may be paid at the meetings in provided during the meeting at the registration cash, by personal or travelers' checks, or by VISA or desk will also no longer be available (see section MASTERCARD credit cards. below on REGISTRATION DESK SERVICES). There will be no extra charge for members of There will, however, be a small desk set up outside the families of registered participants, except that the Auditorium in the Medical Sciences Building all professional mathematicians who wish to attend where local information will be available and where sessions must register independently. a staff member will provide limited assistance to All full-time students currently working toward a participants. No registration or cash transactions will student registration degree or diploma qualify for the be possible at this desk. fees, regardless of income. The unemployed status refers to any person REGISTRATION DESK SERVICES currently unemployed, actively seeking employment, and who is not a student. It is not intended to include AMS /MAA Information persons who have voluntarily resigned or retired from Information on the publications and activities of their latest position. both organizations may be obtained at this section of The emeritus status refers to any person who has the registration desk. been a member of the AMS or MAA for twenty years Audio-Visual Aid and is retired on account of age from his or or more, A member of the AMS staff will be available to her latest position. advise or consult with speakers on their audio-visual The following registration fees which are shown requirements. in U.S. dollars are followed by comparable Canadian dollars (in parentheses). Nonmembers who register Baggage and Coat Check at the meetings and pay the $74 ($90) nonmember Participants may leave baggage, parcels, coats, etc., registration fee are entitled to a discount of the for safekeeping at the registration desk during the difference between the member registration fee of hours it is open, provided these items are picked up $48 ($58) and the nonmember registration fee of $74 before the desk closes for the day. Articles left after ($90) as a $26 ($32) credit against dues in either the closing time cannot be reclaimed until the following 432 morning. Articles not picked up when registration Transparencies closes at 4:30p.m. on Wednesday, August 25, will be Speakers wishing to prepare transparencies in turned over to the Department of Mathematics. advance of their talk will find the necessary Cheek Cashing materials and copying machines at this section of the registration desk. A member of the staff will The meeting cashier will cash personal or travelers' assist and advise speakers on the best procedures and checks up to $50, U.S. or Canadian, upon presentation methods for preparation of "their material. There is a of the official meeting registration badge, provided there is enough cash on hand. modest charge for these materials. Assistance, Comments and Complaints Visual Index A log for registering participants' comments or Alphabetical lists of registered participants, includ complaints about the meeting is kept at the ing local addresses, arrival and departure dates, is Transparencies section of the registration desk. All maintained in the registration area. participants are encouraged to use this method of MISCELLANEOUS INFORMATION helping to improve future meetings. Comments on all phases of the meeting are welcome. If a written reply Athletic Facilities is desired, participants should furnish their name and Meeting participants may use the swimming pool address. and track for a $5 guest fee. Upon proof of Participants with problems of an immediate nature meeting registration, guest cards will be issued at the requiring action at the meeting should see the meeting Booking Office in the Athletic Center. As this is the manager, who will try to assist them. maintenance week for the facility, squash and tennis Local Information will not be available, and the towel service may not be operating. This section of the desk will be staffed by members of the Local Arrangements Committee and Book Stores other volunteers from the Toronto mathematical There are three book stores located on campus. community. The U of T Bookroom, located on Kings College Lost and Found Circle, and the U of T Textbook Store, located on Huron Street, are both open from 8:45 a.m. to 4:30 See the meeting cashier. p.m., Monday through Friday. The Student Christian Mail Movement Bookstore, located on the edge of campus at the corner of Bloor and St. George, is open 9:00 All mail and telegrams for persons attending the a.m. to 6:00p.m., Monday through Friday, and 10:00 meetings should be addressed to the participant, c/o a.m. to 6:00 p.m. Saturday. Joint Mathematics Meetings, Department of Math ematics, University of Toronto, Toronto, Ontario, Camping Canada M5S 1Al. Mail and telegrams so addressed There are no suitable camping sites located near may be picked up at the mailbox in the registration the university. Those persons wishing to camp should area during the hours the registration desk is open. contact their local KOA office for the current issue of First class mail not picked up will be forwarded after Handbook and Directory for Campers. the meeting to the mailing address given on the Child Care participant's registration record. Daycare may be arranged by interested individuals Personal Messages by contacting the director of the Margaret Fletcher Participants wishing to exchange messages during Daycare Centre, who will take children on a first the meetings should use the mailbox mentioned come, first-served basis. Write to Ms. Mercedes above. Message pads and pencils are provided. It is Chacin de Fuchs, Margaret Fletcher Daycare Centre, regretted that such messages left in the box cannot 100 Devonshire Place, University of Toronto, Toronto, be forwarded to participants after the meeting is Ontario, Canada M5S 2C9. over. Crib Rental Telephone Messages Cribs are available for $2.50 per day, plus 7 percent A telephone message center will be located in provincial sales tax, and a $10 total delivery and the registration area to receive incoming calls for pick-up charge. Strollers, high chairs, and infant participants. The center will be open from August (under 20 lbs.) car seats are also available; rates 22-25 only, during the same hours as the Joint on request. Those persons wishing to rent any of Mathematics Meetings registration desk. Messages these items should write to the undemamed as soon will be taken and the name of any individual for as possible, giving dates required. In the case of whom a message has been received will be posted cribs, full payment must be enclosed in Canadian until the message has been picked up at the message funds: Annette Sunter, Department of Mathematics, center. The telephone number of the message center University of Toronto, Toronto, Ontario, Canada is 416-978-4354. M5S 1Al. 433 Libraries traffic. Parking stickers for pay lots will be available The Mathematics Department Library, located at the meeting registration desk for $3 per day. A on the second floor of Sidney Smith Hall, will be 400-car parking lot on St. George Street will be open open from 9:00 a.m. to 9:00 p.m. for the duration Monday through Friday, for which a $3 parking fee, of the meetings. Information concerning books payable on site, is charged. There are also several located in other libraries is available from the areas where on-street parking is free from 9:00 a.m. Department Library. The main collection of books to 4:00 p.m. and 6:00 p.m. to 7:00 a.m. Metered is in the Science and Medicine Library, located on parking is also available. Maps indicating these Kings College Circle. The Robarts Library houses parking areas will also be available at the registration the Humanities collection. Summer hours for the desk. Participants are urged to drive as little as university libraries are: possible between the dormitories and the meeting Robarts 8:30 a.m. to 11:00 p.m. Monday-Thursday areas. 8:30 a.m. to 6:00 p.m. Friday Participants attending the AMS Short Course on 9:00 a.m. to 5:00 p.m. Saturday Saturday and Sunday, August 21-22, or the MAA Sci-Med 8:30a.m. to 9:00 p.m. Monday- Thursday Minicourses on Sunday, August 22, will find free 8:30 a.m. to 5:00 p.m. Friday parking for the weekend only on King's College 9:00 a.m. to 5:00 p.m. Saturday Circle and Hart House Circle. LocaliDfonnation Social Events The Bank of Montreal, 262 Bloor Street West at St. The Department of Mathematics is planning George, will exchange U.S. currency for participants entertainment for mathematicians and their families at no charge, provided either cash or recognized during the meeting. At 6:00 p.m. on Monday, travelers' checks are presented. Canadian funds can August 23, there will be an evening beer party at also be obtained through MASTERCARD; however, the University College Quadrangle. The West Hall at the Bank of Montreal will not cash personal checks. University College will be used in case of rain. Snacks Their hours of operation are from 10:00 a.m. to and sandwiches will be provided. Tickets will be on 3:00 p.m. Monday through Thursday, and from 10:00 sale at the Transparencies section of the registration a.m. to 6:00 p.m. on Friday. It is suggested that desk for $5 Canadian or $4.15 U.S. Tickets to this participants with confirmed housing reservations on event will be sold in advance at the Transparencies· campus plan on paying for their accommodations at section of the meeting registration desk. check-in time in Canadian funds, since U.S. funds During the week of the meeting, there will be many will be accepted by the university housing clerks at entertainment events in Toronto and vicinity. A par. number of theatres will be giving regular performances The Toronto Transit Commission operates sub at this time. At Niagara-on-the-Lake there is the ways, streetcars, trolley buses, and suburban buses. Shaw Festival, and at Stratford a Shakespeare festival. All fares are 75 cents each, or eight for $5. Both of these places are relatively close to Toronto, Taxi rates are $1.10 at flag drop and 20 cents each and return transportation for any evening is easy to additional 1/8 mile. arrange. In addition to theatrical events, Toronto has In addition to the activities listed under the section a wide variety of musical events during the summer. titled Social Events, Toronto has many other sights The Canadian National Exhibition will be in progress and attractions, such as the Royal Ontario Museum, the week of the meeting, and is easily accessible the CN Tower, Casa Lorna, Toronto Islands, Old Fort from the university by public transportation. Tours York, Ontario Place, and The Art Gallery of Ontario can be arranged during the daytime to such local in Grange Park. Further information can be obtained places of interest as the Ontario Science Centre, the on these places at the Local Information section of McMichael Collection, and the large Metropolitan the meeting registration desk. Zoo. Participants interested in these events should Medical Services check with the Local Information section of the The University Health Service is open from 9:00 meeting registration desk. a.m. to 4:30 p.m. daily for medical attention. Travel Emergencies occuring during the evening or weekends In August, Toronto is on Eastern Daylight Saving can be handled at the Emergency Department of Time. There is regular airline service to Toronto any of the local hospitals: Toronto General Hospital, International Airport by several major airline carriers. College at University; Women's College Hospital, 76 The airport in Toronto is approximately 18 miles Grenville Street (College at Bay); the Hospital for from city center, and the trip takes between 25 and Sick Children, 555 University Avenue. In addition, 60 minutes. A taxi costs $18-$20; limousine $20; the Academy of Medicine can advise of local doctors the Airport Express bus to Islington Subway station who are on emergency call. Their telephone number $2, then 75 cents to the city; the bus to York Mills is 922-1134. Dental service can be arranged through station $2.50, then 75 cents to the city; and the the University Health Centre. Charterways Bus to downtown (stops at Royal York Parking and Sheraton Centre) $5.50. None of these services, Parking throughout the university is extremely except the taxi or limousine, will bring one directly limited as the campus was not designed for motor to the university campus. Participants are advised 434 to utilize cab service for the last leg of the trip. Rainfall in August averages 2.65 inches, with a 30 Most major car rental agencies maintain desks at the percent average daily probability of precipitation. airport. Humidity ranges from a daytime high of 67 percent VIA has eight trains daily from Montreal to to a night-time low of 55 percent. The record high Toronto, and one a day from Vancouver. One can and low temperatures for August are lO~F and 39"F take AMTRAK to Detroit, and then the bus to respectively. Light sweaters and jackets are advised Windsor, where VIA provides six trains daily to for evening wear. Temperatures in Canada are given Toronto. Both AMTRAK and VIA provide daily in the Celsius scale, so the preceding temperatures New York-Toronto services. would read: normal high 26, normal low 16, record From all U.S. points, routes lead directly to high 39, record low 4. Toronto on Highway 401. To get to the main (St. George) University of Toronto campus from 401, take Premeeting Minieonferenee exit 52 (Avenue Road). Take Avenue Road south approximately five miles, where it becomes University STEPHEN J. PIERCE of the University of Avenue after crossing Bloor Street. Then, see the Toronto has organized a premeeting miniconference campus map. on Linear algebra and matrix theory. The meeting Entering Canada is usually no problem for U.S. will take place on Sunday, August 22, beginning at citizens, and involves nothing more than answering 2:00 p.m. in room 3154 of the Medical Sciences questions about where they were born, where they Building. The schedule is as follows: are going, and how long they will stay, and showing 2:00 - 2:30 Olga Taussky-Todd. Uses of matrix some form of proof of citizenship such as a voter's theory in algebraic number theory or birth certificate. Permanent U.S. residents who 2:45 - 3:05 Charles Johnson. Determinantal are not citizens are required to bring their alien bounds and applications registration receipt card (U.S. form 1-151 or 1-551). 3:10- 3:40 Hans Schneider. Scaling of matrices, Entry requirements vary for people coming to Canada theory and practice from countries other than the United States. As a 3:45 - 4:15 Morris Newman. Recent work on general rule, the visitor should have a valid national matrix completions passport. 4:20 - 4:50 Robert Thompson. Smith invariants Weather 4:55 - 5:25 Russell Morris. Graph theory as The normal daytime high temperature during multilinear algebra this period is 79"F. Normal night-time low is 61°F. LECTURES IN APPLIED MATHEMATICS NONLINEAR OSCILLATIONS IN BIOLOGY (California Institute of Technology), F. C. Hoppen edited by Frank C. Hoppensteadt steadt (University of Utah), P. Waltman (University This seminar, sponsored jointly by the American of Iowa), and A. S. Winfree (Purdue University). Mathematical Society and the Society for Industrial This book is an unusual and useful collection of and Applied Mathematics, was held at the University applied and theoretical articles geared toward intro of Utah from june 12 to june 23,1978, and intended ducing the reader to a wide variety of methods in as an introduction to the theory and methods of non nonlinear oscillations. It will be of interest to applied linear oscillations and how they are used to study mathematicians, bioengineers, and biophysicists who oscillatory phenomena in the life sciences. A core have a background of undergraduate mathematics series of lectures by L. N. Howard, in-depth case studies (calculus, differential equations), and some graduate by A. S. Winfree and C. Steele and background lectures mathematics (diffusion processes, fluid mechanics). on mathematical topics by j. Guckenheimer, j. K. Hale, It contains summaries of some recent applications of F. C. Hoppensteadt, D. Ludwig and 0. E. Rossler are re nonlinear oscillations methods in life sciences. The produced in these proceedings. Additional lectures papers are directed at introducing mathematically on cell metabolism, population dynamics, perturba adept scientists to recent methods and results. tion theory, neural sciences, epidemiology and reac Volume 17, x + 253 pages tion-diffusion systems were given but without written List price $36.00, institutional member $27.00, record. The program for the seminar was organized individual member $18.00 ISBN 0·8218·1 i ,-7-7; LC 79·26469 by W. S. Childress (Courant Institute of Mathemati Publication date: November 1979 cal Sciences, New York University), D. S. Cohen To order, please specify LAM/17 N Prepayment is required for all AMS publications. Order from AMS, P.O. Box 1571, Annex Station, Providence, Rl 02901, or call toll free 800-556-7774 to charge with Visa or MasterCard. 435 Presenters of Papers Numbers following the names indicate the speakers' positions on the program. •Invited one-hour lecturer •Special session speaker Abramovich, S., 115 Deekhart, R. W., 276 Heuvers, K. J., 114 *McAloon, K., 100 Aczel, J., 270 Dettman, J. W., 113 •Hirsch, M. W., 4, 123, •McClellan, J. H., 40 •Ahmed, S., 65 * DeTurck, D. M., 179 158, 310 *McCoy, B. M., 11 Alex, L. J., 277 eDieudonne, J. A., 230B Hoyt, W. L., 129 Meuser, D., 128 •Alexander, J. M., 83 •Dobkin, D.P., 162 •Infante, E. F., 242A •Meyer, B., 260 •Alspach, D. E., 148 •Dynin, A., 14 Ireland, K., 203 * Miel, G., 103 •Altman, M., 164 •Earnest, A. G., 77 •Ismail, M. E. H., 142 Mihram, G. A., 266 •Andrews, G. E., 138 * Edrei, A., 324 *Jacobsen, L., 240 Milcetich, J. G., 49 Anellis, I. H., 211 Effinger, G., 205 • Jaffe, A. M., 180 •Milnor, J. W., 1 •Antman, S. S., 230A El;eeiogJ.u, 0., 191 Jamison, J. E., 293 *Mitchell, K. H., 88 Arkin, J., 197 Endo, Y., 130 • Jawerth, B. D., 146 Mityagin, B. S., 110 •Askey, R., 184 Erdelyi, I., 295 •John, T., 98 *Moncrief, V., 182 Aull, C., 92 Erickson, K. B., 225 Johnsen, E. C., 267 •Moore, G. H., 108 •Avis, D., 314 *Evans, R. J., 33 Jones, J., Jr., 212 •Morris, L. R., 41 •Axler, S., 29 • Fadell, E., 167 *Jones, W. B., 241 Moseley, J. L., 111 •Baker, G. A., Jr., 185 •Fefferman, R., 144 •del Junco, A., 177 *Moser, W. 0. J., 248 •Bankston, P., 169 Feinsilver, P., 274 •Kailath, T., 16 • Muckenhoupt, B., 64 Barnette, D. W., 282 •Ferguson, H. R. P., 155 Kalman, J. A., 198 Murty, M. R., 202 Beer, G. A., 93 •Field, D. A., 188 •Katok, A., 318 Murty, V. K., 204 • Beissinger, J. S., 54 * Fieldsteel, A., 178 •Katz, V. J., 107 Muskat, J. B., 206 •Boyd, D. W., 137 *Fournier, G., 168 Kavanagh, J. P., 218 •Myerson, G., 38 *Brezinski, C., 186 Franke, J. E., 217 Kay, D. C., 280 Naoum, A. G., 208 •Brin, M., 174 *Fredman, M. L., 70 Kegel, 0. H., 275 * Nashed, M. Z., 257 •Brooks, R., 175 *Friedlander, J. B., 32 Kelemen, C. F., 229 Navot, I., 228 •Browder, F. E., 165 •Friedman, N. A., 304 •Kelly, L. M., 133 * Nerode, A., 99 Brown, M., 211: *Gallier, Jean H., 17 * Kenig, C. E., 27 * Nevai, P., 12 •Brown, R. F., 166 Garner, J. B., 117 Khalil, R., 297 • Ni, W.-M., 183 • de Bruin, M. G., 187 * Garsia, A. M., 6 • Kirk, W. A., 231 Noonburg, V. W., 271 •Buell, D. A., 82 * Gautsehi, W., 320 Kittappa, R. K., 45 Nyikos, P. J., 91 Buoni, J. J., 290 Geisler, D. F., 265 •Klee, V., 159 * Odlyzko, A. M., 58 •Burrus, C. S., 119 *Gerrish, W., 84 * Kleitman, D., 250 *O'Donnell, M. J., 19 *Carlson, T., 97 * Gholamnezhad, H., 87 •Klotz, R. G., 181 O'Halloran, J., 278 Carlsson, R., 207 Gilbert, W. J., 201 Kohlmayr, G. F., 124 * Oliker, V. I., 309 *Chahal, J. S., 154 * Gilewicz, J., 321 * Koml6s, J., 315 Osborn, H., 216 •Chang, S.-Y. A., 3 *Gill, J., 237 •Koosis, P., 147 O'Shea, D. B., 131 * Chao, J.-A., 71 Gluchoft', Alan D., 51 Lambrinos, P. T., 89 •Papini, P. L., 236 * Chazelle, B. M., 245 Goldberg, V. V., 283 •Lange, L. J., 258 Pareek, C. M., 196 *Cheney, E. W., 254 Goldstein, M., 52 *Lawrence, J., 243 *Parker, T. H., 305 Cheng, C. C.-a., 210 *Goodman, J. E., 161 •Lawton, W., 78 *Payne, L. E., 60 * Chinburg, T., 37 * Gordon, B., 9 •Lebowitz, J. L., 326 *Petersen, K., 317 Choe, Y. H., 299 *Gorin, A. L., 121 • Lee, C. W., 163 •Petryshyn, W. V., 233 •Choksi, J. R., 176 *Gragg, W. B., 238 •Leighton, F. T., 68 •Pitts, J. T., 306 Chou, C., 222 *Graves-Morris, P.R., Lerner, B. T., 95 *Pollack, R., 247 • Christ, M., 26 239 Lester, J. A., 286 *Pomerance, C., 36 Christopher, P. R., 190 *Greene, C., 56 *Lev-Ari, H., 120 •Pourahmadi, M., 149 * Chudnovsky, D. V., 242 *Greenleaf, A., 30 Lock, R. H., 126 •Prikry, K. L., 102 * Chudnovsky, G. V., 140 * Griinbaum, F. A., 43 •Logan, B. F., 141 •Purdy, G. B., 313 •Chung, F. R. K., 311 *Guy, R. K., 160 •Long, T. J., 18 Quine, J. R., 47 •Cohen, D. I. A., 5 Haber, S., 226 Loomis, I. H., 292 •Raekoft', C., 20 Comer, S. D., 125 Hahn, K. T., 48 •Magnus, A., 259 Rahman, M., 230 *Cook, S. A., 66 Hammer, P. C., 224 *Maier, H., 35 *Ramey, W. C., 76 * Coxeter, H.S.M., 244 • Harish-Chandra, 2 Marchetti, F., 215 Rangaswamy, K. M., Crawford, C. G., 195 •Harper, L. H., 57 Marcum, H. J., 214 209 •Cusick, T. W., 80 Hartmann, F. W., 46 *Markley, N. G., 316 Reich, J. I., 223 * Dayhoft'-Goldberg, J. E., Hastings, H. M., 213 Marsh, D. S., 94 *Reich, s., 234 55 •Helson, H., 15 *Marshall, D. E., 25 •Reid, W. M., 261 Dean, A.M., 96 •Hensley, D., 79 •Martelli, M. M., 232 *Remmel, J. B., 7 436 Reneke, J. A., 269 Shadvnck, VV. F., 116 Tamari, D., 273 VVeiss, A. I., 284 *Reznick, B., 134 *Shapiro, J. H., 75 *Tattersall, J. J., 104 * VVeiss, VV., 255 *Rhoades, B. E., 235 Shengwang, VV., 296 Taylor, R. M., 287 VVells, B., 127 *VOn Rimscha, M., 170 *Shields, A. L., 72 Tepper, D. E., 44 * VVetzel, J. E., 246 *Robinson, E. A., Jr., Shipman, VV., 189 * Thron, VV. J., 262 • VVhitehead, G. VV., 53B 300 *Sloane, N. J. A., 132 * Tolimieri, R., 39 * VVhitesides, S. H., 312 *Robinson, R. M., 139 • Smith, B. P., 325 *Tomas, P. A., 74 * VVhitfield, J. H. M., 253 *Rosenbloom, P. C., 62 *Smith, R. A., 150 * Tompa, M., 67 * VVilf, H. S., 8 •Rosser, J. B., 53A *Smith, R. L., 171 * Torchinsky, A., 31 * VVillard, R. D., 105 *VanRossum, H., 322 Snow, D. R., 227 *Toussaint, G. T., 249 * VVilson, J. M., 73 Roxin, E. 0., 221 * Solderitsch, J., 81 • Truesdell, c. A., m, VVilson, R., 90 Roy, N. M., 291 * Spatzier, R. J., 302 230A • VVinograd, S., 156 Ruckle, VV. H., 263 Spigler, R., 118 *Tunnell, J. B., 153 VViseman, J. A., 268 *Rudolph, D. J., 301 Spikes, P. VV., 112 Turner, N. D., 272 VVong, D. H., 264 *Rumely, R. S., 152 Spiro, C. A., 199 eTutte, VV. T., 157 VVu, H. J., 289 Saccoman, J. J., 288 * Spruck, J., 307 *Ullman, J. L., 13 *Yager, R. R., 86 * Sadosky, C., 28 *Stanley, R. P., 59 *Ullrich, D. C., 143 Yang, C.-C., 53 Sagan, B. E., 192 * Statman, R., 173 *Valiant, L. G., 69 *Yang, D., 308 * Salomaa, A., 21 *Stegenga, D. A., 145 Van Buskirk, J. M., 220 *Young, P., 23 Salzer, H. E., 109 * Steinhorn, C., 101 *Varga, R. S., 63 * Yui, N., 151 Sands, B., 194 *Stewart, C. L., 34 *Vargas, L. G., 85 Zaks, J., 281 *Sarnak, P. C., 319 * Stolarsky, K. B., 61 Verma, S., 298 * Zaslavsky, T., 135 Schein, B. M., 279 Straubing, H., 193 * Vulis, M., 42 * Zassenhaus, H. J., 136 *Schirmer, H., 251 * Strichartz, R. S., 24 * VVaadeland, H., 323 Zorn, P., 50 Schmeelk, J., 294 Styer, R. A., 200 * VValker, M., 106 *Sehgal, V. M., 252 *Swanson, L., 303 * VVaters, C., 256 *Selman, A. L., 22 *Tall, F. D., 172 VVatson, B., 285 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 public. 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 $44.00, institutional member $33.00, individual member $22.00 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 sion that, far from being dead, group theory has only To order, please specify PSPUM/37N Prepayment is required for all American Mathematical Society publications. Send for the book(s) above to: AMS, P. 0. Box 1571, Annex Station, Providence, Rl 02901 437 Program of the Sessions The time limit for each contributed paper in the AMS general sessions is ten minutes. In the special sessions, the time limit varies from session to session and within sessions. To maintain the schedule, time limits will be strictly enforced. Abstracts of papers presented in AMS sessions at this meeting will be found in the August 1982 issue of Abstracts of papers presented to the American Mathematical Society, ordered according to the numbers in parentheses following the listings below. For papers with more than one author, an asterisk follows the name of the author who plans to present the paper at the meeting. Monday, 8:40a.m. Invited Addre&B Medical Sciences Building Auditorium, Room 2158 8:40- 9:40 (1) Knots and contact structures in 3-space. JOHN W. MILNOR, Institute for Advanced Study Monday, 9:50a.m. Invited Addre&B Medical Sciences Building Auditorium, Room 2158 9:50-10:50 (2) On the theory of the Whittaker integral. HARISH-CHANDRA, Institute for Advanced Study (796-22-18) Monday, 11:00 a.m. Invited Address Medical Sciences Building Auditorium, Room 2158 11:00-12:00 (3) HP spaces in one and several variables. SUN-YUNG ALICE CHANG, University of California, Los Angeles (796-42-242) Monday, 1:00 p.m. Colloquium Lecture&: Lecture I Medical Sciences Building Auditorium, Room 2158 1:00- 2:00 (4) Convergence in ordinary and partial differential equations. MORRIS W. HIRSCH, University of California, Berkeley Monday, 2:10p.m. Special Session on Bijective Proof& in Generali1ed Partition Theory and Enumerative Combinatoric&, I Sidney Smith Hall, Room 2110 2:10- 2:30 (5) PIE-Sums: A combinatorial tool for partition theory. DANIEL I. A. COHEN, Hunter College, City University of New York, and Rockefeller University (796-05-41) 2:40- 3:30 (6) The construction of a Rogers-Ramanujan bijection. ADRIANO M. GARSIA, University of California, San Diego (796-05-14) 3:40- 4:00 (7) Bijective proofs of some classical partition identities. Preliminary report. JEFFREY B. REMMEL, University of California, San Diego (796-05-112) 4:10- 4:30 (8) Sieve equivalence in generalized partition theory. HERBERT S. WILF, University of Pennsylvania (796-05-210) 4:40- 5:00 (9) Sieve-equivalence and ezplicit bijections. Preliminary report. BASIL GORDON, University of California, Los Angeles (796-05-303) (Introduced by Herbert S. Wilf) Monday, 2:10p.m. Special Session on The Mathematical Legacy of Gabor S1egii, I Sidney Smith Hall, Room 2102 2:10- 2:30 (10) Introduction 2:40- 3:00 (11) Physical applications and extensions of Szegii's theorem on Toeplitz determinants. BARRY M. MCCOY, State University of New York, Stony Brook (796-35-286) (Introduced by Richard A. Askey) 3:10- 3:30 (12) G. Szegii and orthogonal polynomials. PAUL NEVAI, Ohio State University, Columbus (796-42-52) 3:40- 4:00 (13) Logarithmic capacity and eztremal polynomials. JOSEPH L. ULLMAN, University of Michigan, Ann Arbor (796-41-23) 4:10- 4:30 (14) A Szegii's theorem on Toeplitz matrices in several complex variables. ALEXANDER DYNIN, Ohio State University, Columbus (796-47-24) 438 4:40- 5:00 (15) Szego's prediction theorem. HENRY HELSON, University of California, Berkeley (796-30-158) 5:10- 5:30 (16) The Szego unit circle orthogonal polynomials in prediction theory. THOMAS KAILATH, Stanford University (796-60-196) Monday, 2:10p.m. !pecial Session on Computing Theory, I Sidney Smith Hall, Room 1069 2:10- 2:30 (17) Deterministic finite automata with recursive calls and DPDA's. Preliminary report. JEAN H. GALLIER, University of Pennsylvania (796-68-189) 2:40- 3:00 (18) Controlled relativizations of P and NP. Preliminary report. TIMOTHY J. LONG, New Mexico State University, Las Cruces (796-68-190) (Introduced by Ronald V. Book) 3:10- 3:30 (19) Computational complexity and proof-theoretic power in typed lambda calculi. MICHAEL J. O'DONNELL, Purdue University, West Lafayette (796-68-191) (Introduced by Ronald V. Book) 3:40- 4:00 (20) A technique for creating efficient parallel algorithms. CHARLES RACKOFF, University of Toronto (796-68-192) (Introduced by Ronald V. Book) 4:10- 4:30 (21) Systolic automata on trees and trellises. ARTO SALOMAA * and J. GRUSKA, University of Waterloo and University of Turku, Finland, and K. CULIK II, Wayne State University (796-68-193) (Introduced by Ronald V. Book) 4:40- 5:00 (22) Controlled relativizations of complexity classes. Preliminary report. ALAN L. SELMAN, Iowa State University (796-68-194) (Introduced by Ronald V. Book) 5:10- 5:30 (23) Some analogues of recursion theoretic results for polynomial reducibilities on NP. Preliminary report. PAUL YOUNG, Purdue University, West Lafayette (796-68-195) (Introduced by Ronald V. Book) Monday, 2:10p.m. )pecial Session on Classical Harmonic Analysis, I Sidney Smith Hall, Room 2118 2:10- 2:30 (24) Analysis of the Laplacian on a complete Riemannian manifold. ROBERT S. STRICHARTZ, Cornell University (796-42-55) 2:40- 3:00 (25) On a sharp inequality concerning the Dirichlet integral. SUN-YUNG A. CHANG, University of California, Los Angeles, and DONALD E. MARSHALL*, University of Washington (796-30-306) 3:10- 3:30 (26) Restriction of the Fourier transform to submanifolds of low codimension. MICHAEL CHRIST, Princeton University (796-42-141) (Introduced by Sun-Yung Alice Chang) 3:40- 4:00 (27) A maximal operator associated to the Schrodinger equation. Preliminary report. CARLOS E. KENIG, University of Minnesota, Minneapolis (796-42-64) 4:10- 4:30 (28) Vector valued inequalities of Marcinkiewicz-Zygmund and Grothendieck type for generalized Toeplitz operators. Preliminary report. MiscHA COTLAR, Universita Central de Venezuela, Caracas, and CORA SADOSKY*, Howard University (796-42-35) 4:40- 5:00 (29) Multipliers of Bergman spaces. SHELDON AxLER, Michigan State University (796-30-179) 5:10- 5:30 (30) Maximal operators associated with step-2 vector fields. ALLAN GREENLEAF, Massachusetts Institute of Technology (796-42-176) 5:40- 6:00 (31) The strong maximal function with respect to measures. BJORN JAWERTH and ALBERTO TORCHINSKY*, Indiana University, Bloomington (796-42-305) Monday, 2:10 p.m. 3pecial Session on Number Theory, I Sidney Smith Hall, Room 2117 2:10- 2:30 (32) Integers without large prime factors. JOHN B. FRIEDLANDER, Scarborough College (796-10- 154) 2:40- 3:00 (33) Character sum analogues of constant term identities for root systems. Preliminary report. RONALD J. EVANS, University of California, San Diego (796-10-46) 3:10- 3:30 (34) On divisors of terms of arithmetical sequences. CAMERON L. STEWART, University of Waterloo (796-10-77) 3:40- 4:00 (35) On the sequence of divisors of integers. HELMUT MAIER, University of Michigan, Ann Arbor (796-10-93) 4:10- 4:30 (36) Analysis and comparison of some integer factoring algorithms. CARL POMERANCE, University of Georgia (796-10-94) 439 4:40- 5:00 (37) Salem numbers and £-functions. TED CHINBURG, University of Pennsylvania (796-12-116) 5:10- 5:30 (38) Small values of Dedekind sums. Preliminary report. GERALD MYERSON, State University of New York, Buffalo (796-10-132) Monday, 2:10p.m. Special Session on Complexity and Digital Signal Processing, I Sidney Smith Hall, Room 1087 2:10- 2:30 (39) Construction of orthonormal bases diagonalizing the discrete Fourier transform. R. TOLIMIERI, University of Connecticut, Storrs (796-10-72) (Introduced by Louis Auslander) 2:40- 3:00 (40) Multidimensional MEM spectral estimation. JAMES H. MCCLELLAN, Massachusetts Institute of Technology (796-94-155) (Introduced by Louis Auslander) 3:10- 3:30 (41) Signal processing software and signal processing algorithms. L. ROBERT MORRIS, Carleton University (796-94-219) (Introduced by Louis Auslander) 3:40- 4:00 (42) Ring structures and algorithms for multi-dimensional FFT. MICHAEL VULIS, City University of New York, Graduate Center (796-42-211) 4:10- 4:30 (43) Time and band limiting. F. ALBERTO GRUNBAUM, University of California, Berkeley (796-94-271) (Introduced by Louis Auslander) Monday, 2:10p.m. Session on Complex Analysis Sidney Smith Hall, Room 2135 2:10- 2:20 (44) A mathematical model for a wake. DAVID E. TEPPER, City University of New York, Baruch College (796-31-183) 2:25- 2:35 (45) Representations of a class of functions. R. KIT KITTAPPA, Millersville State College (796-33-199) (Introduced by Charles Denlinger) 2:40- 2:50 (46) The starlike quartic polynomials. Preliminary report. F. W. HARTMANN, Villanova University (796-30-208) 2:55- 3:05 (47) Examples in Nevanlinna theory. J. R. QUINE, Florida State University (796-30-230) 3:10- 3:20 (48) The classical theorems of Schottky and Landau, and the converse. KYONG T. HAHN, Pennsylvania State University, University Park (796-32-43) 3:25- 3:35 (49) The John constant and several variables. Preliminary report. JOHN G. MILCETICH, University of the District of Columbia and University of Notre Dame (796-32-103) 3:40- 3:50 (50) A representation theorem for analytic functionals on domains in en. PAUL ZORN, St. Olaf College (796-32-139) 3:55- 4:05 (51) The mean modulus of Blaschke products with zeroes in a nontangential region. ALAN D. GLUCHOFF, Villanova University (796-30-12) 4:10- 4:20 (52) A problem of A. A. Goncar. MYRON GOLDSTEIN*, Arizona State University, and HOWARD L. JACKSON, McMaster University (796-31-01) 4:25- 4:35 (53) On the fix-points of composite transcendental entire functions. Preliminary report. CHUNG CHUN YANG, Naval Research Laboratory, Washington, DC (796-30-100) Monday, 3:20p.m. AMS-MAA Joint Session on the History of Mathematics, I Medical Sciences Building Auditorium, Room 2158 3:20- 4:30 (53A) Mathematics and mathematicians in World War II. J. BARKLEY ROSSER, Mathematics Research Center, University of Wisconsin, Madison 4:30- 5:30 (53B) Homotopy theory: the first twenty-five years. GEORGE W. WHITEHEAD, Massachusetts Institute of Technology Tuesday, 8:00a.m. Special Session on Bijective Proofs in Generalimed Partition Theory and Enumerative Combinatorics, II Sidney Smith Hall, Room 2110 8:00- 8:20 (54) Factorization and enumeration of labelled combinatorial objects. JANET SIMPSON BEISSINGER, University of lllinois, Chicago Circle (796-05-285) 8:30- 8:50 (55) Independently prescribable sets of n-letter words. JUDITH E. DAYHOFF-GOLDBERG, Fairchild Advanced Research and Development Laboratory, Palo Alto (796-05-264) 9:00- 9:20 (56) Combinatorial aspects of the majorization order. CURTIS GREENE, Haverford College (796-05-263) 440 9:30- 9:50 (57) Morphi8ms for the strong Spemer property of Stanley and Griggs. L. H. HARPER, University of California, Riverside (796-05-44) 10:00-10:20 (58) New algorithms for computing 1l'(x ). J. C. LAG ARIAS and A. M. ODL YZKO*, Bell Laboratories, Murray Hill (796-10-284) 10:30-10:50 (59) Injective words, derangements, and representations of the symmetric group. Preliminary report. RICHARD P. STANLEY, Massachusetts Institute of Technology (796-05-71) Tuesday, 8:00a.m. Special Session on The Mathematical Legacy of Gabor Szego, II Sidney Smith Hall, Room 2102 8:00- 8:20 (60) Some results related to Szego's work on i8operimetric inequalities. Preliminary report. L. E. PAYNE, Cornell University (796-35-299) 8:30- 8:50 (61) Developments stemming from the 1991 P6lya-Szego transfinite diameter paper. Preliminary report. KENNETH B. STOLARSKY, University of illinois, Urbana-Champaign (796-31-111) 9:00- 9:20 (62) Asymptotic di8tribution of zeros of polynomials. PAUL C. ROSENBLOOM, Columbia University, Teachers College (796-30-03) (Introduced by Richard A. Askey) 9:30- 9:50 (63) On extension of Gabor Szegii's results on the di8tribution of zeros of the partial sums of exp (z). RICHARD S. VARGA, Kent State University (796-41-171) 10:00-10:20 (64) Weighted norm inequalities. Preliminary report. BENJAMIN MUCKENHOUPT, Rutgers University, New Brunswick (796-44-260) 10:30-10:50 (65) On the zeros of orthogonal polynomials. SHAFIQUE AHMED, King's College, Wilkes-Barre (796-33-20) Tuesday, 8:00a.m. Special Session on Computing Theory, II Sidney Smith Hall, Room 1069 8:00- 8:20 (66) The theory of large scale parallel computation. STEPHEN A. COOK, University of Toronto (796-68-206) (Introduced by S. R. Kosaraju) 8:30- 8:50 (67) An interplay between geometry and computational complexity. MARTIN TOMPA, University of Washington (796-68-275) (Introduced by Allan Borodin) 9:00- 9:20 (68) A provably good algorithm for Manhattan routing. Preliminary report. FRANK THOMSON LEIGHTON* and SANDEEP N. BHATT, Massachusetts Institute of Technology (796-68-289) 9:30- 9:50 (69) On proving computational problems to be important. L. G. VALIANT, Harvard University (796-68-294) (Introduced by Saul Gorn) 10:00-10:20 (70) On the power of range query oracles. Preliminary report. MICHAEL L. FREDMAN, University of California, San Diego (796-68-293) (Introduced by S. R. Kosaraju) 10:30-10:50 Informal session Tuesday, 8:00a.m. Special Session on Classical Harmonie Analysis, II Sidney Smith Hall, Room 2118 8:00- 8:20 (71) Walsh series and H 1. Preliminary report. J.-A. CHAO, Case Western Reserve University and Cleveland State University (796-42-214) 8:30- 8:50 (72) Phragmen-Lindelof theorems for a class of analytic functions. Preliminary report. ALLEN L. SHIELDS, University of Michigan, Ann Arbor (796-30-215) 9:00- 9:20 (73) Approximate identities and H 1(R). Preliminary report. AKIHITO UCHIYAMA and J. MICHAEL WILSON*, University of Chicago (796-42-250) (Introduced by Sun-Yung Alice Chang) 9:30- 9:50 (74) Recent work on restriction. PETER A. TOMAS, University of Texas, Austin (796-42-251) (Introduced by R. Fefferman) 10:00-10:20 (75) Linear topological properties of the harmonic Hardy space hP (0 < p < 1). JOEL H. SHAPIRO, Michigan State University (796-46-252) 10:30-10:50 (76) Local boundary behavior of pluriharmonic functions along curves. WADE C. RAMEY, Massachusetts Institute of Technology (796-32-268) Tuesday, 8:00a.m. Special Session on Number Theory, II Sidney Smith Hall, Room 2117 8:00- 8:20 (77) Ideal class groups of 2-power exponent. A. G. EARNEST*, Southern lllinois University, Carbondale, and 0. H. KORNER, Universitiit Ulm, Federal Republic of Germany (796-10-33) 441 8:30- 8:50 (78) Geometric means of trigonometric polynomials and number theory. Preliminary report. WAYNE LAWTON, Jet Propulsion Laboratory, Pasadena (796-10-49) 9:00- 9:20 (79) Approzimation to complez € from within a wedge with vertez € by Gawsian rationals. Preliminary report. MARY FLAHIVE and DOUGLAS HENSLEY*, Texas A&M University, College Station (796-10-45) 9:30- 9:50 (80) Finding fundamental units in totally real cubic fields. THOMAS W. CUSICK, State University of New York, Buffalo (796-12-68) 10:00-10:20 (81) An infinite collection of quadratic number fields with non-cyclic p-subgroups of the class group. JAMES SOLDERITSCH, Villanova University (796-12-95) 10:30-10:50 (82) Solutions of quaternary quadratic systems. DUNCAN A. BUELL*, Louisiana State University, Baton Rouge, and RICHARD H. HUDSON, Carleton University (796-10-114) Tuesday, 8:00a.m. Speeial Session on Mathematics of Complexity and Noneauaal Thinking Sidney Smith Hall, Room 1086 8:00- 8:20 (83) A consistency measure for the Saaty Analytic Hierarchy: Northern Ireland application. JOYCE M. ALEXANDER, Immaculata College (796-90-261) (Introduced by Thomas L. Saaty) 8:30- 8:50 (84) Writing for films using an Analytic Hierarchy Approach. WEB GERRISH, Outremont, Canada (796-92-313) (Introduced by Thomas L. Saaty) 9:00- 9:20 (85) The stochastic Analytic Hierarchy Process. LUIS G. VARGAS, University of Pittsburgh, Pittsburgh (796-92-265) (Introduced by Thomas L. Saaty) 9:30- 9:50 (86) Fuzzy sets and probability. RONALD R. YAGER, Iona College (796-03-295) (Introduced by Thomas L. Saaty) 10:00 -10:20 (87) A hierarchical and game-theoretic analysis of international conflicts. Preliminary report. HAMID GHOLAMNEZHAD, Eastern illinois University (796-90-80) (Introduced by Thomas L. Saaty) 10:30-10:50 (88) Computational procedures for the Analytic Hierarchy Process with incomplete information. Preliminary report. KENNETH H. MITCHELL, Woods Gordon Management Consultants, Toronto (796-90-315~ (Introduced by Thomas L. Saaty) Tuesday, 8:00a.m. Session on Topology Sidney Smith Hall, Room 2108 8:00- 8:10 (89) On the Scott function space topology. Preliminary report. PANOS TH. LAMBRINOS, Demoeritos University of Thraee, Greece (796-54-282) 8:15- 8:25 (90) On mazimally connected spaces. VICTOR NEUMANN-LARA, Universidad Nacional Aut6noma de Mexico, and RICHARD WILSON*, Universidad Aut6noma Metropolitan& (796-54-238) 8:30- 8:40 (91) On the product of sequentially compact spaces. Preliminary report. PETER J. NYIKOS, University of South Carolina, Columbia (796-54-229) 8:45- 8:55 (92) Eztending discrete families of zero sets. CHARLES AULL, Vll'ginia Polytechnic Institute and State University (796-54-223) 9:00- 9:10 (93) Dense selections. GERALD A. BEER, California State University, Los Angeles (796-54-220) 9:15- 9:25 (94) Concerning the cone = hyperspace property. DOROTHY S. MARSH, Bellaire Research Laboratory, Texas (796-54-144) 9:30- 9:40 (95) Fuzzy semigroups. Preliminary report. BAO TING LERNER, United States Naval Academy (796-54-150) 9:45- 9:55 (96) Nearnesses and To-eztensions of topological spaces. Preliminary report. ALICE M. DEAN, Bates College (796-54-147) Tuesday, 8:00 a.m. Speeial Session on Applications of Logie to Mathematics and Computer Seienee, I Medical Sciences Building, Room 2173 8:00- 8:20 (97) Ulam's problem on relative measure. TIM CARLSON, University of California, Berkeley (796-04-249) 8:30- 8:50 (98) Similarities between NP and analytic sets. Preliminary report. THOMAS JOHN, Ohio State University, Columbus (796-03-247) (Introduced by Harvey M. Friedman) 9:00- 9:20 (99) Recursive content of mathematical constructions. ANIL NERO DE*, Cornell University, and JEFFERY REMMEL, University of California, San Diego (796-03-267) 442 9:30- 9:50 (100) A hierarchy theorem for mixed time. KENNETH MCALOON, City University of New York, Brooklyn College (796-68-287) (Introduced by Harvey M. Friedman) 10:00-10:20 (101) On the non-axiomatizability of some logics by finitely many schemas. SAHARON SHELAH, Hebrew University, Israel, and CHARLES STEINHORN*, Vassar College (796-03-246) 10:30-10:50 (102) On measurable selections. Preliminary report. KAREL L. PRIKRY, University of Minnesota, Minneapolis (796-03-164) Tuesday, 8:00a.m. Special Session on History of Mathematics Medical Sciences Building, Room 3163 8:00- 8:20 (103) Of calculations past and present: the Archimedean algorithm. GEORGE MIEL, University of Nevada, Las Vegas (796-01-69) 8:30- 8:50 (104) Geometry in Jeffersonian architecture. Preliminary report. J. J. TATTERSALL, Providence College (796-01-138) (Introduced by Richard B. Goldstein) 9:00- 9:20 (105) Archimedes' approximation of 1r. Ross D. WILLARD, University of Toronto (796-99-317) (Introduced by Victor J. Katz) 9:30- 9:50 (106) An interpretation of Plato's "Timaeus" (lines 31-32). Preliminary report. MARSHALL WALKER, York University (796-99-318) 10:00-10:20 (107) Differential forms- the origin of a definition. VICTOR J. KATZ, University of the District of Columbia (796-99-319) 10:30-10:50 (108) A case study in the history of contemporary mathematics: Cohen's forcing and related techniques. Preliminary report. GREGORY H. MOORE, University of Toronto (796-99-320) (Introduced by J. Mycielski) Tuesday, 8:00a.m. Session on Differential Equations Medical Sciences Building, Room 2172 8:00- 8:10 (109) Note on the Docev-Grosswald asymptotic series for generalized Bessel polynomials. HERBERT E. SALZER, Brooklyn, New York (796-33-25) 8:15- 8:25 (110) Nonlinear boundary problem without solution. BORIS S. MITYAGIN, Ohio State University, Columbus (796-35-74) 8:30- 8:40 (111) On sufficient conditions of a geometric nature for multiple solutions of a nonlinear Dirichlet problem. Preliminary report. JAMES L. MOSELEY, West Virginia University (796-35-234) 8:45- 8:55 (112) Convergence to zero of oscillatory solutions of second order functional differential equations. JOHN R. GRAEF and P. W. SPIKES*, Mississippi State University, TAKAS! KUSANO, Hiroshima University, and HIROSHI 0NOSE, lbaraki University (796-34-226) 9:00- 9:10 (113) Analogous function theories for certain singular partial differential equations. LOUIS R. BRAGG and JOHN W. DETTMAN*, Oakland University (796-35-152) 9:15- 9:25 (114) A functional-differential equation with nth differences. KONRAD J. HEUVERS, Michigan Technological University (796-39-149) 9:30- 9:40 (115) On the growth of real solutions of second order algebraic differential equations. SH. STRELITZ and S. ABRAMOVICH*, Haifa University, Israel (796-34-107) 9:45- 9:55 (116) Backlund transformations and integration of the stationary KdV and Sine-Gordon hierarchies. Preliminary report. WILLIAM F. SHADWICK, University of Waterloo (796-35-104) 10:00-10:10 (117) Mathematical analysis of a concentrating mechanism. Preliminary report. J. B. GARNER*, Louisiana Tech University, and R. B. KELLOGG, University of Maryland, College Park (796-34-98) 10:15-10:25 (118) Wave propagation in a one-dimensional nonlinear random medium. Preliminary report. G. PAPANICOLAOU and R. SPIGLER*, Courant Institute of Mathematical Sciences, New York University (796-60-53) Tuesday, 9:00a.m. Special Session on Complexity and Digital Signal Processing, II Sidney Smith Hall, Room 1087 9:00- 9:20 (119) On the design of discrete Fourier transform algorithms. C. SIDNEY BURRUS* and H. W. JOHNSON, Rice University (796-65-266) (Introduced by Louis Auslander) 9:30- 9:50 (120) Generalized Schur coefficients and lattice filters. THOMAS KAILATH and H. LEV-ARI*, Stanford University (796-94-197) 10:00-10:20 (121) Signal processing using distribution theory. Preliminary report. ALLEN L. GORIN, Lockheed Electronics Company, New Jersey (796-42-217) 443 10:30-10:50 (122) Informal session Tuesday, 1:00 p.m. Colloquium Lectures: Lecture II Medical Sciences Building Auditorium, Room 2158 1:00- 2:00 (123) ContJergence in ordinary and partial differential equations. MORRIS W. HIRSCH, University of California, Berkeley Tuesday, 2:10p.m. Session on Logic and Foundations Sidney Smith Hall, Room 1069 2:10- 2:20 (124) A functional analysis proof of the incomistency of ZF. GERHARD F. KOHLMAYR, Mathmodel Consulting Bureau, Connecticut (796-03-225) 2:25- 2:35 (125) A new foundation for the theory of relatiom. STEPHEN D. COMER, The Citadel (796-03-122) 2:40- 2:50 (126) The temor product of operational logics. ROBIN H. LOCK, Clarkson College of Technology (796-06-233) 2:55- 3:05 (127) A finitely presented semigroup with umoltJable word problem whose local word probleJm are all soltJable. BENJAMIN WELLS, The Meher Schools, Lafayette, California (796-03-309) Tuesday, 2:10p.m. Session on Algebraic Geometry Sidney Smith Hall, Room 2135 2:10- 2:20 (128) On the poles of a zeta function for curoes. DIANE MEUSER, Boston University (796-12-82) 2:25- 2:35 (129) A Torelli map for Hodge structures on certain parabolic cohomology groups. W. L. HOYT, Rutgers University, New Brunswick (796-14-174) 2:40- 2:50 (130) Generalized cusp forJm and parabolic cohomology. Y. ENDO, Manville, New Jersey (796-14-148) 2:55- 3:05 (131) Vanishing folds, liroafolds, and Whitney faults. DONAL B. O'SHEA, Mount Holyoke College (796-14-281) Tuesday, 2:10p.m. Special Session on Discrete and Computational Geometry, I Medical Sciences Building, Room 3171 2:10- 2:30 (132) Very fast algorithJm for finding closest lattice points. N. J. A. SLOANE, Bell Laboratories, Murray Hill (796-94-272) 2:40- 3:00 (133) Q-matrices on the sphere. L. M. KELLY, Michigan State University (796-51-205) 3:10- 3:30 (134) Lattice point simplices. BRUCE REZNICK, University of lllinois, Urbana-Champaign (796-51- 56) 3:40- 4:00 (135) Vector mean tJalues and spherical desigm. P. D. SEYMOUR and THOMAS ZASLAVSKY*, Ohio State University, Columbus (796-26-212) 4:10- 4:30 (136) On inequalities related to sphere-packing. HANS J. ZASSENHAUS, Ohio State University, Columbus (796-68-308) Tuesday, 3:20p.m. Invited Address Medical Sciences Building Auditorium, Room 2158 3:20- 4:20 (137) ComtructitJe aspects of the theory of the Pisot and Salem numbers. DAVID W. BOYD, University of British Columbia (796-12-31) Tuesday, 7:00 p.m. Special Session on The Mathematical Legacy of Gabor S1ego, III Sidney Smith Hall, Room 2102 7:00- 7:20 (138) Partitiom and Szego's 1926 paper on orthogonal polynomials and theta functiom. GEORGE E. ANDREWS, Pennsylvania State University, University Park (796-33-273) 7:30- 7:50 (139) Historical remarks on the distribution of conjugate algebraic integers. RAPHAEL M. ROBINSON, University of California, Berkeley (796-12-15) 8:00- 8:20 (140) Generalizatiom of classical orthogonal polynomials arising in number theory and mathematical physics. Preliminary report. D. V. CHUDNOVSKY and G. V. CHUDNOVSKY*, Columbia University (796-33-259) 8:30- 8:50 (141) Bandpass functiom with extreme posititJe peak to negatitJe peak ratios. B. F. LOGAN, Bell Laboratories, Murray Hill (796-42-156) (Introduced by Richard A. Askey) 444 9:00- 9:20 (142) Integrals of products of Laguerre polynomials. MOURAD E. H. IsMAIL, Arizona State University (796-33-36) Tuesday, 7:00p.m. Special Session on Classical Harmonie Analysis, m Sidney Smith Hall, Room 2118 7:00- 7:20 (143) Mobiw-invariant subharmonic functions. DAVID C. ULLRICH, University of Chieago (796-32- 269) (Introdueed by Wade C. Ramey) 7:30- 7:50 (144) Gundy's inequalities in Rn. Preliminary report. ROBERT FEFFERMAN, University of Chicago (796-42-274) 8:00- 8:20 (145) Generic covering properties of several spaces of analytic functions. Preliminary report. DAVID A. STEGENGA*, University of Hawaii, Honolulu, and KENNETH STEPHENSON, University of Tennessee (796-30-276) 8:30- 8:50 (146) On interpolation of infinitely many spaces. BJORN D. JAWERTH, University of Lund, Sweden (796-42-292) (Introdueed by A. Torchinsky) 9:00- 9:20 (147) Levinson's theorem from Kolmogorov's theorem. PAUL KOOSIS, University of California, Los Angeles (796-42-140) 9:30- 9:50 (148) Projections onto translation invariant subspaces of L1(G). Preliminary report. D. E. ALSPACH* and A. MATHESON, Oklahoma State University, Stillwater, and J. M. ROSENBLATT, Ohio State University, Columbus (796-43-62) 10:00-10:20 (149) Prediction theory and matricial Helson-Szego Theorem. MOHSEN POURAHMADI, Northern illinois University (796-42-63) Tuesday, 7:00p.m. Special Session on Number Theory, m Sidney Smith Hall, Room 2117 7:00- 7:20 (150) The number of solutions of polynomial congruences. JOHN H. LOXTON, University of New South Wales, Australia, and ROBERT A. SMITH*, University of Toronto (796-10-120) 7:30- 7:50 (151) On the product of two Fermat curoes over finite fields. NORIKO YUI, Ohio State University, Columbus (796-14-32) 8:00- 8:20 (152) Capacity theory on algebraic curoes. Preliminary report. ROBERT S. RUMELY, University of Georgia (796-12-134) 8:30- 8:50 (153) Modular forms and areas of rational right triangles. Preliminary report. JERROLD B. TUNNELL, Princeton University (796-10-92) 9:00- 9:20 (154) Arithmeticity in algebraic groups. JASBm S. CHAHAL, University of Wisconsin, Milwaukee (796-10-270) 9:30- 9:50 (155) Multidimensional Euclidean Algorithms and Applications. HELAMAN R. P. FERGUSON* and RODNEY W. FORCADE, Brigham Young University (796-10-262) Wednesday, 8:40a.m. Invited Addre11 Medical Sciences Building Auditorium, Room 2158 8:40- 9:40 (156) Algebras, their representations and the Discrete Fourier 'I'ransform. SHMUEL WINOGRAD, IBM Watson Research Center (796-42-10) Wednesday, 9:50 a.m. Invited Address Medical Scienees Building Auditorium, Room 2158 9:50-10:50 (157) Map colorings and differential equations. W. T. TUTTE, University of Waterloo Wednesday, 1:00 p.m. Colloquium Lectures: Lecture III Medical Sciences Building Auditorium, Room 2158 1:00- 2:00 (158) Convergence in ordinary and partial differential equations. MORRIS W. HIRSCH, University of California, Berkeley Wednesday, 1:00 p.m. Special Seasion on Discrete and Computational Geometry, II Medical Sciences Building, Room 3171 1:00- 1:20 (159) A linear-time algorithm that finds all local minima among triangles containing a given convex polygon. VICTOR KLEE* and MICHAEL C. LASKOWSKI, University of Washington (796-52-67) 445 1:30- 1:50 {160) Covering the rectangle. RICHARD K. GUY*, University of Calgary, and J. L. SELFRIDGE, Mathematical Reviews, Ann Arbor {796-52-173) 2:00- 2:20 {161) The canonical orderings of a configuration of points. JACOB E. GOODMAN*, City University of New York, City College, and RICHARD POLLACK, Courant Institute of Mathematical Sciences, New York University {796-68-184) 2:30- 2:50 {162) Finding extremal polygons as BUbsets of planar point set. DAVID P. DOBKIN, Princeton University {796-68-157) {Introduced by Jacob E. Goodman) 3:00- 3:20 {163) A large class of near-Hirsch polytopes. CARL W. LEE, University of Kentucky {796-52-65) Wednesday, 1:00 p.m. !Jpecial Seslion on Fixed Point Theory and Applications, I Medical Sciences Building, Room 3163 1:00- 1:20 {164) Contractors and fized points. MIECZYSLAW ALTMAN, Louisiana State University, Baton Rouge {796-47-79) 1:30- 1:50 {165) The degree of mapping and its generalizations. FELIX E. BROWDER, University of Chicago {796-47-310) 2:00- 2:20 {166) Maps of cones in Banach spaces which have many fized points. ROBERT F. BROWN, University of California, Los Angeles {796-55-115) 2:30- 2:50 {167) Nielsen numbers on BUrfaces. EDWARD FADELL* and SUFIAN HUSSEINI, University of Wisconsin, Madison {796-57-254) 3:00- 3:20 {168) A good class of eventually condensing maps. Preliminary report. GILLES FOURNIER, Universite de Sherbrooke {796-55-255) Wednesday, 1:00 p.m. !Jpecial Seslion on Applications of Logie to Mathematies and Computer Science, II Medical Sciences Building, Room 2173 1:00- 1:20 {169) Obstacles to duality between classes of relational structures. PAUL BANKSTON, Marquette University {796-06-163) 1:30- 1:50 {170) Conditional lowerjupper and qualitative probability. MICHAEL VON RIMSCHA, Institut fiir Informatik, Stuttgart, Federal Republic of Germany, and University of Dlinois, Urbana Champaign {796-03-27) 2:00- 2:20 {171) Algebra within second order arithmetic. RICK L. SMITH, Ohio State University, Columbus {796-03-248) 2:30- 2:50 {172) Applications of set theory to topology. Preliminary report. FRANKLIN D. TALL, University of Toronto {796-54-102) 3:00- 3:20 {173) Some applications of proof theory to applicative programming languages. RICHARD STATMAN, Rutgers University, New Brunswick {796-03-123) Wednesday, 1:00 p.m. !Jpeeial Session on Ergodic Theory, I Sidney Smith Hall, Room 1087 1:00- 1:20 {174) F\"ame flows on manifolds of negative curvature. MICHAEL BRIN, University of Maryland, College Park {796-58-60) 1:30- 1:50 {175) Some Riemannian and dynamical invariants of foliations. ROBERT BROOKS, University of Maryland, College Park {796-53-51) 2:00- 2:20 {176) Ergodic theory on homogeneous meaBUre algebras. J. R. CHOKSI, McGill University {796-28-160) 2:30- 2:50 {177) Universally disjoint measure-preserving systetns. Preliminary report. ANDRES DEL JUNCO*, Ohio State University, Columbus, and DAN RUDOLPH, University of Maryland, College Park {796-28-76) 3:00- 3:20 {178) Stability of the weak Pinsker property for flows. ADAM FIELDSTEEL, Wesleyan Univerlity {796-28-187) Wednesday, 1:00 p.m. Special Seslion on Nonlinear Partial Dift'erential Equations in Pbysies and Geometry, I Sidney Smith Hall, Room 1085 1:00- 1:20 {179) Prescribing positive Ricci curvature on compact manifolds. DENNIS M. DETURCK, University of Pennsylvania {796-53-117) 446 1:30- 1:50 (180) Geometry of quantum gauge theory. Preliminary report. ARTHUR M. JAFFE, Harvard University {796-53-302) 2:00- 2:20 (181) The Mange-Ampere equation and degenerate Kiihler-Einstein metrics. Preliminary report. RICHARD G. KLOTZ, Columbia University (796-53-75) 2:30- 2:50 (182) Global existence of Yang-Mills-Higgs fields in 4-dimensional Minkowslri space. VINCENT MONCRIEF*, Yale University, and DOUGLAS EARDLEY, Harvard University (796-35-40) (Introduced by Robert L. Bryant) 3:00- 3:20 (183) On the elliptic equation Lu- k + Ke2" = 0 and conformal metrics with prescribed curvatures. Preliminary report. CARLOS E. KENIG and WEI-MING NI*, University of Minnesota, Minneapolis (796-35-81) (Introduced by Jill P. Mesirov) Wednesday, 1:00 p.m. Special Session on Pade Approximations and Continued Fraetions, I Sidney Smith Hall, Room 2102 1:00- 1:20 (184) Orthogonal polynomials and continued fractions. RICHARD AsKEY*, University of Wisconsin, Madison, and MOURAD ISMAIL, Arizona State University (796-33-37) 1:30- 1:50 (185) Invariance properties in Hermite-Pad€ approximation theory. GEORGE A. BAKER, JR., Los Alamos National Laboratory (796-41-168) (Introduced by Arne Magnus) 2:00- 2:20 (186) The birth and early developments of Pade approximants. Preliminary report. CLAUDE BREZINSKI, University of Lille, France (796-01-133) 2:30- 2:50 (187) New convergence results for generalized continued fractions: the case n = 2. Preliminary report. MARCEL G. DE BRUIN, University of Amsterdam, The Netherlands (796-41-113) 3:00- 3:20 (188) Convergence theorems for matrix continued fractions. DAVID A. FIELD, General Motors Research Laboratories, Michigan (796-41-47) Wednesday, 1:00 p.m. Session on Combinatories Sidney Smith Hall, Room 1069 1:00- 1:10 (189) The four-colour conjecture: a short proof Preliminary report. WILLIAM SHIPMAN, Scarborough, Canada (796-05-296) (Introduced by Frank R. Bernhart) 1:15- 1:25 (190) Repeated graphs with direct product automorphism groups. PETER R. CHRISTOPHER, Worcester Polytechnic Institute (796-05-209) 1:30- 1:40 (191) A simple proof of the hook formula for reverse plane partitions. OMER EGECIOGLU, University of California, San Diego (796-05-204) 1:45- 1:55 (192) Abel polynomials and rooted labeled forests. BRUCE E. SAGAN, University of Michigan, Ann Arbor (796-05-16) 2:00- 2:10 (193) A combinatorial proof of the Cayley-Hamilton Theorem. HOWARD STRAUBING, Reed College (796-05-34) 2:15- 2:25 (194) On independent sets in edge-coloured digraphs. B. SANDS*, N. SAUER and R. WOODROW, University of Calgary (796-05-87) 2:30- 2:40 (195) Reconstructing finite manuals from their event structures in empirical logic. CAROL G. CRAWFORD, United States Naval Academy (796-05-110) 2:45- 2:55 (196) A combinatorial proof of a positivity result. MOURAD E. H. ISMAIL, Arizona State University, and C. M. PAREEK*, Kuwait University (796-05-135) 3:00- 3:10 (197) Cyclic orthogonal k-typles of Latin k-cubes. JOSEPH ARKIN*, Spring Valley, New York, PAUL SMITH, University of Victoria, and E. G. STRAUS, University of California, Los Angeles (796-05-09) Wednesday, 1:00 p.m. Session on Number Theory Sidney Smith Hall, Room 2118 1:00- 1:10 (198) Numerical results related to Goldbach's conjecture. Preliminary report. J. A. KALMAN, University of Auckland, New Zealand (796-10-239) 1:15- 1:25 (199) How often is the number of divisors of n prime to the nth value of a polynomial? Preliminary report. CLAUDIA A. SPIRO, State University of New York, Buffalo (796-10-83) 1:30- 1:40 (200) Explicit evaluation of symplectic Gauss sums. Preliminary report. ROBERT A. STYER, Temple University (796-10-61) 1:45- 1:55 (201) Complex numbers with three radix expansions. WILLIAM J. GILBERT, University of Waterloo (796-10-26) 447 2:00- 2:10 (202} Oscillations of Fourier coefficienta of modular forms. M. RAM MURTY, Tata Institute of Fundamental Research, India, and McGill University (796-10-169} 2:15- 2:25 (203} The calculation of Artin £-functions and zeta functions of cyclotomic function fields. KENNETH IRELAND, University of New Brunswick (796-12-180} (Introduced by M. Rosen) 2:30- 2:40 (204} Class fields of real quadratic fields. V. KUMAR MURTY, Harvard University (796-10-170} 2:45- 2:55 (205} Using group characters for the specific evaluation of error terms. GOVE EFFINGER, Bates College (796-12-146} 3:00- 3:10 (206} Zeros of polynomials (modp}. JOSEPH B. MUSKAT, Bar-Dan University, Israel (796-10-307} Wednesday, 1:00 p.m. Session on Algebra, I Sidney Smith Hall, Room 2108 1:00- 1:10 (207} Witt rings of higher level. RENATE CARLSSON, Universitiit Hamburg, Federal Republic of Germany (796-13-241} 1:15- 1:25 (208} On J. Ohm condition for commutative rings. A. G. NAOUM* and M.A. KADHIM, University of Baghdad, Iraq (796-13-151} 1:30- 1:40 (209} Separable abelian groups as modules over their endomorphism rings. K. M. RANGASWAMY, University of Nevada, Las Vegas (796-20-30} 1:45- 1:55 (210} A converse of the Hilbert syzygy theorem. CHARLES CHING-AN CHENG*, Oakland University, and JAY SHAPIRO, George Mason University (796-13-58} 2:00- 2:10 (211} Structure of quasipotent boolean Z-groups. IRVING H. ANELLIS, McMaster University (796-20-119) 2:15- 2:25 (212} Solutions of higher order Riccati matria: equations. Preliminary report. JOHN JONES, JR.* and ENRIQUE DIAZ, Wright-Patterson Air Force Base (796-15-127} Wednesday, 1:00 p.m. Session on Algebraic and Geometric Topology Sidney Smith Hall, Room 2117 1:00- 1:10 (213} Approximating topological automata by finite automata. HAROLD M. HASTINGS, Hofstra University (796-55-145} 1:15- 1:25 (214} On homotopy operations of three variables. Preliminary report. HOWARD J. MARCUM, Ohio State University, Newark (796-55-278} 1:30- 1:40 (215} Asymptotic ezponentiality of exit times. FEDERICO MARCHETTI, Universita di Roma, Italy (796-60-85} 1:45- 1:55 (216} Scissors-and-glue rings. HOWARD OSBORN, University of illinois, Urbana-Champaign (796-57-11} 2:00- 2:10 (217} The chain recurrent set for maps of the interval. LOUIS BLOCK, University of Florida, and JOHN E. FRANKE*, North Carolina State University (796-58-108} 2:15- 2:25 (218} E2:tensions of homeomorphisms. Preliminary report. JOHN P. KAVANAGH, College of Charleston (796-57-221} 2:30- 2:40 (219} Free and freely equivalent homeomorphisms of the plane. Preliminary report. MORTON BROWN, University of Michigan, Ann Arbor (796-57-232} 2:45- 2:55 (220} Any amphicheiral knot polynomial is shared with a concordant prime amphicheiral. JAMES M. VAN BUSKmK, University of Oregon (796-57-235} Wednesday, 1:00 p.m. Session on General Analysis Sidney Smith Hall, Room 2110 1:00- 1:10 (221} On complement continuity of the attainable set in control systems. Preliminary report. EMILIO 0. ROXIN, University of Rhode Island (796-49-182} 1:15- 1:25 (222} Weak Sidon sets and R-sets of discrete groups. Preliminary report. CHING CHOU, State University of New York, Buffalo (796-43-202} 1:30- 1:40 (223} Densities for weighted sums of independent random variables. JACOB I. REICH, City University of New York, Baruch College (796-60-227} 1:45- 1:55 (224} Definitions for mathematics: Measure. PRESTON C. HAMMER, Grand Rapids, Michigan (796-28-304} 2:00- 2:10 (225} Gaps in the range of nearly increasing processes with stationary independent increments. K. BRUCE ERICKSON, University of Washington (796-60-181} 2:15- 2:25 (226} Approximation with random pointa. SEYMOUR HABER, National Bureau of Standards, Washington, D.C. (796-65-298} 448 2:30- 2:40 (227) A numerical minimization method for an integral functional which therefore soltJea two-point boundary tJalue problems. Preliminary report. DONALD R. SNOW, Brigham Young University (796-65-280) 2:45- 2:55 (228) An Euler-Maclaurin transformation of a slowly contJergent series. IsRAEL NAVOT, University of California, Santa Barbara (796-65-137) 3:00- 3:10 (229) On the solution of a set of linear inequalities with at most two unknowns per inequality. CHARLES F. KELEMEN, LeMoyne College (796-68-136) 3:15- 3:25 (230) NonnegatitJe kernels in product formulas for q-Racah polynomials. G. GASPER, Northwestern University, and MIZAN RAHMAN*, Carleton University (796-33-312) Wednesday, 2:10p.m. AMS-MAA Joint Session on the History of Mathematics, II Medical Sciences Building Auditorium, Room 2158 2:10- 3:10(230A) The influence of elasticity on analysis: The classical heritage. CLIFFORD A. TRUESDELL ill, Johns Hopkins University 2:10- 3:10(230A) The influence of elasticity on analysis: Modem detJelopments. STUARTS. ANTMAN, University of Maryland, College Park 3:20- 4:20(230B) The work of Bourbaki during the past thirty years. JEAN A. DIEUDONNE, Nice, France Wednesday, 4:30-6:00 p.m. Steele Pri1e Session and Busine11 Meeting Medical Sciences Building Auditorium, Room 2158 Wednesday, 7:00p.m. Special Session on Fixed Point Theory and Applieations, II Medical Sciences Building, Room 3163 7:00- 7:20 (231) Iteration processes for nonezpansitJe mappings. KAZIMIERZ GOEBEL, Marie Curie-Sldodowska University, Poland, and University of Southern California, and W. A. KIRK*, University of Iowa (796-47-125) 7:30- 7:50 (232) Large oscillations of forced nonlinear differential equations. Preliminary report. MARIO M. MARTELLI, Bryn Mawr College (796-34-257) 8:00- 8:20 (233) Multiple posititJe fi:J;ed points of multitJalued condensing mappings. Preliminary report. W. V. PETRYSHYN, Rutgers University, New Brunswick (796-47-256) 8:30- 8:50 (234) Some problems and reBUlts in fi:J:ed point theory. SIMEON REICH, University of Southern California (796-47-50) 9:00- 9:20 (235) ContractitJe definitions re!Jisited. B. E. RHOADES, Indiana University, Bloomington (796-54-91) 9:30- 9:50 (236) Fi:J:ed point theorems in P spaces and in spaces with Mazur property. Preliminary report. P. L. PAPINI, Universita della Calabria, Italy (796-99-316) Wednesday, 7:00 p.m. Special Session on Pade Approximations and Continued Fractions, II Sidney Smith Hall, Room 2102 7:00- 7:20 (237) a-limit-periodic composition chains of linear fractional transformations. JOHN GILL, University of Southern Colorado (796-40-128) 7:30- 7:50 (238) Pade tables and associated moment problems for formal Laurent series OtJer csxt. WILLIAM B. GRAGG, University of Kentucky (796-65-244) 8:00- 8:20 (239) The contJergence of ray sequences of Pade approrimants of Stieltjes functions. P. R. GRAVES MORRIS, University of Kent, England (796-41-78) (Introduced by Arne Magnus) 8:30- 8:50 (240) ContJergence acceleration for continued fractions. Preliminary report. LISA JACOBSEN, University of Trondheim, Norway (796-41-167) (Introduced by Arne Magnus) 9:00- 9:20 (241) Schur fractions and digital filters. WILLIAM B. JONES* and ALLAN STEINHARDT, University of Colorado, Boulder (796-30-70) 9:30- 9:50 (242) Recurrences relating Pade approrimants and their analytic and arithmetic applications. Preliminary report. D. V. CHUDNOVSKY* and G. V. CHUDNOVKSKY, Columbia University (796-41- 106) Wednesday, 8:00-10:00 p.m. Special Seasion on Discrete and Computational Geometry, III Medical Sciences Building, Room 3171 8:00-10:00 Problem session and informal discussion 449 Wednesday, 8:30p.m. Invited Address Medical Sciences Building Auditorium, Room 2158 8:30- 9:30(242A) Federal support for the mathematical sciences: some simple facts on some difficult questions. ETTORE F. INFANTE, Mathematical and Computer Sciences Section, National Science Foundation Thursday, 8:00a.m. Special Session on Discrete and Computational Geometry, IV Medical Sciences Building, Room 3171 8:00- 8:20 (243) Concatenation and polytopes. JIM LAWRENCE, University of Kentucky (796-05-172) 8:30- 8:50 (244) The group of genus two. H. S.M. COXETER, University of Toronto (796-05-13) 9:00- 9:20 (245) New techniques in computational geometry. BERNARD M. CHAZELLE, Carnegie-Mellon University (796-51-42) (Introduced by Jacob E. Goodman) 9:30- 9:50 (246) On a problem of Fourier. Preliminary report. GERALD L. ALEXANDERSON, University of Santa Clara, and JOHN E. WETZEL*, University of Illinois, Urbana-Champaign (796-50-89) 10:00-10:20 (247) On the number of k-subsets of ann-set in the plane. JACOB E. GOODMAN, City University of New York, City College, and RICHARD POLLACK*, Courant Institute of Mathematical Sciences, New York University (796-05-185) 10:30-10:50 (248) A survey of Sylvester's problem on collinearity properties of sets of points. W. 0. J. MOSER, McGill University (796-51-88) 11:00-11:20 (249) Distance and visibility problems in computational geometry. Preliminary report. GODFRIED T. TOUSSAINT, McGill University (796-51-283) (Introduced by Jacob E. Goodman) 11:30-11:50 (250) Traditional galleries require fewer watchmen. J. KAHN, Massachusetts Institute of Technology, M. KLAWE, IDM Research Laboratory, San Jose, and D. KLEITMAN*, Massachusetts Institute of Technology (796-52-216) Thursday, 8:00a.m. Special Session on Fixed Point Theory and Applications, III Medical Sciences Building, Room 3163 8:00- 8:20 (251) n-valued multi/unctions. HELGA SCHIRMER, Carleton University (796-55-253) 8:30- 8:50 (252) A coincidence theorem for a topological vector space. Preliminary report. V. M. SEHGAL*, University of Wyoming, and S. P. SINGH and B. WATSON, Memorial University (796-47-186) 9:00- 9:20 (253) Fixed points and sequences of iterates in locally convex spaces. S. A. NAIMPALLY, Lakehead University, K. L. SINGH, University of Minnesota, Duluth, and J. H. M. WHITFIELD*, Lakehead University (796-46-86) 9:30- 9:50 (254) Existence of best-approximations in tensor-product subspaces. E. W. CHENEY*, University of Texas, Austin, and M. V. GOLITSCHEK, University of Wiirzburg, Federal Republic of Germany (796-41-131) 10:00-10:20 (255) Fixed point sets of metric and nonmetric spaces. Preliminary report. JOHN R. MARTIN and WILLIAM WEISS*, University of Saskatchewan (796-54-84) 10:30-10:50 (256) Some random fixed point theorems. V. M. SEHGAL and CHARLIE WATERS*, University of Wyoming (796-47-258) 11:00-11:20 (257) Local solvability and inverse mapping theorems. M. ZUHAIR NASHED, University of Delaware (796-46-290) Thursday, 8:00a.m. Special Session on Pade Approximations and Continued Fractions, III Sidney Smith Hall, Room 2102 8:00- 8:20 (258) Delta fraction expansions of analytic functions. L. J. LANGE, University of Missouri, Columbia (796-30-130) 8:30- 8:50 (259) The two-point Pade table. ARNE MAGNUS, Colorado State University (796-41-291) 9:00- 9:20 (260) On continued fractions corresponding to asymptotic series. Preliminary report. BURNETT MEYER, University of Colorado, Boulder (796-30-08) 9:30- 9:50 (261) More best twin convergence regions for continued fractions K(an/1). Preliminary report. WALTER M. REID, University of Wisconsin, Eau Claire (796-30-166) 10:00-10:20 (262) Moment problems and continued fractions. W. J. THRON, University of Colorado, Boulder (796-30-105) 450 Thursday, 8:00a.m. General Session Sidney Smith Hall, Room 1069 8:00- 8:10 (263) An extension of the Aumann-Shapley value concept to functions of arbitrary Banach spaces. Preliminary report. WILLIAM H. RUCKLE, Clemson University (796-90-121) 8:15- 8:25 (264) Non-exact controllability for nonlinear control systems in Banach space. Preliminary report. DOMINIC H. WONG, Bell Laboratories, Holmdel (796-93-228) 8:30- 8:40 (265) Estimating health risk of particulate air pollution from epidemiologic data. DANIEL F. GEISLER, Carnegie-Mellon University (796-92-218) (Introduced by Robert G. McDermot) 8:45- 8:55 (266) Doesn't statistical analysis support the ether, and thus deny credibility to Einstein's Relativity Theory? Preliminary report. G. ARTHUR MIHRAM, Princeton, New Jersey (796-83-203) 9:00- 9:10 (267) Network macrostructure models for the Davis-Leinhardt set of empirical sociomatrices. EUGENE C. JOHNSEN, University of California, Santa Barbara (796-92-178) 9:15- 9:25 (268) 59 new best known binary codes. JAMES A. WISEMAN, Rochester Institute of Technology (796-94-311) 9:30- 9:40 (269) An input-output formulation of a linear-quadratic optimal control problem for hereditary systems. JAMES A. RENEKE, Clemson University (796-49-236) 9:45- 9:55 (270) Allocation problems on arbitrary intervals. J. ACZEL*, University of Waterloo, and C. WAGNER, University of Tennessee (796-90-314) 10:00-10:10 (271) A competing species model with adaptation. Preliminary report. V. W. NOONBURG, University of Hartford (796-92-99) 10:15-10:25 (272) A follow-up study of winners of the U.S.A. Mathematical Olympiad. NURA D. TURNER, State University of New York, Albany (796-97-126) (Introduced by Lindsay N. Childs) Thursday, 8:00a.m. Session on Algebra, II Sidney Smith Hall, Room 2108 8:00- 8:10 (273) A theory of bins, associativity and wordchain patterns. III. Dov TAMARI, New York, New York (796-20-07) 8:15- 8:25 (274) q-algebras. PHILIP FEINSILVER*, Southern illinois University, Carbondale, and JOCHEN SCHWARZ, Freiburg, Federal Republic of Germany (796-16-279) 8:30- 8:40 (275) Sylow's theorem in locally finite groups, a finiteness condition for p-length. OTTO H. KEGEL, Albert-Ludwigs-Universitiit, Federal Republic of Germany (796-20-240) 8:45- 8:55 (276) Reduction lemmas for a modular Weyl formula. Preliminary report. ROBERT W. DECK HART, Miami University (796-17-237) 9:00- 9:10 (277) Simple groups and a Diophantine equation. LEO J. ALEX, State University of New York, Oneonta (796-20-231) 9:15- 9:25 (278) Nilpotent groups and unipotent algebraic groups. Preliminary report. FRITZ GRUNEWALD, University of Bonn, Federal Republic of Germany, and JOYCE O'HALLORAN*, University of Wisconsin, Milwaukee (796-20-222) 9:30- 9:40 (279) In/- and sup-representations of inverse semigroups. Preliminary report. BORIS M. SCHEIN, University of Arkansas, Fayetteville (796-20-198) Thursday, 8:00a.m. Session on Geometry and Topology Sidney Smith Hall, Room 2118 8:00- 8:10 (280) Generalizations of Tietze's theorem on local convexity for sets in Rd. DAVID C. KAY, University of Oklahoma (796-52-224) 8:15- 8:25 (281) Arbitrarily large neighborly families of symmetric convex polytopes. JOSEPH ZAKS, University of Haifa, Israel (796-52-109) (Introduced by Abraham Zaks) 8:30- 8:40 (282) Generating 2-cell embeddings in the torus and projective plane. DAVID W. BARNETTE, University of California, Davis (796-52-06) (Introduced by Allan L. Edelson) 8:45- 8:55 (283) Webs W(d, 2, r) of maximum r-rank. Preliminary report. VLADISLAV V. GOLDBERG, New Jersey Institute of Technology (796-53-153) 9:00- 9:10 (284) On isoclinal sequences of spheres. AsiA IVI6 WEISS, University of Saskatchewan (796-51-54) 9:15- 9:25 (285) (4>-) holomorphic sectional and bisectional curvatures of manifolds associated to almost contact metric submersions. BILL WATSON, St. John's University (796-53-200) 9:30- 9:40 (286) Recent results in characterizations of spacetime transformations. J. A. LESTER, University of Waterloo (796-51-201) (Introduced by J.D. Aczel) 451 Thursday, 8:00a.m. Session on FUnctional Analysis Sidney Smith Hall, Room 2117 8:00- 8:10 (287) Function algebras on a Torus. Preliminary report. RICHARD M. TAYLOR, Temple University (796-46-297) 8:15- 8:25 (288) Precursors of the Hahn-Banach theorem- The works of Helly and Riesz. JOHN J. SACCOMAN, Seton Hall University (796-46-39) 8:30- 8:40 (289) An extension of Kakutani's theorem and a characterization of locally compact Hausdorff spaces. HUEYTZEN J. Wu, Texas A&l University (796-46-22) 8:45- 8:55 (290) On power weak compactness in Banach spaces. JOHN J. BUONI* and ALBERT KLEIN, Youngstown State University, and BRIAN M. SCOTT and BUSHAN L. WADHWA, Cleveland State University (796-46-28) 9:00- 9:10 (291) Extreme points and .e1(I')-spaces. NINA M. ROY, Rosemont College (796-46-101) 9:15- 9:25 (292) Isometries of vector valued sequence spaces and of the space Lp(t). Preliminary report. IRENE H. LOOMIS, Memphis State University (796-46-142) 9:30- 9:40 (293) Banach spaces with the strong maximum modulus property. Preliminary report. J. E. JAMISON, Memphis State University (796-46-143) 9:45- 9:55 (294) Generalized momentum and energy operators. Preliminary report. JOHN SCHMEELK, Virginia Commonwealth University (796-46-04) 10:00-10:10 (295) On strongly decomposable operators. I. ERDELYI*, Temple University, and WANG SHENGWANG, Nanjing University, People's Republic of China (796-47-97) 10:15-10:25 (296) A spectral decomposition with respect to the identity for closed operators. WANG SHENGWANG, Nanjing University, People's Republic of China (796-47-96) (Introduced by I. Erdelyi) 10:30-10:40 (297) Isometries of £P®£P. ROSHDI KHALIL, Kuwait University (796-46-02) 10:45-10:55 (298) On shifted Laplace transforms. Preliminary report. SADANAND VERMA, University of Nevada, Las Vegas (796-44-177) (Introduced by L. J. Simonoft) 11:00-11:10 (299) Integrals of vector-valued functions taking values in a locally convex space. YOUNG HAN CHOE, Acadia University (796-28-90) Thursday, 9:00a.m. Special Session on Ergodic Theory, II Sidney Smith Hall, Room 1087 9:00- 9:20 (300) Ergodic measure preserving transformations with arbitrary finite spectral multiplicities. Preliminary report. E. ARTHUR ROBINSON, JR., University of Maryland, College Park (796-28-57) (Introduced by Nathaniel F. G. Martin) 9:30- 9:50 (301) Restricted orbit equivalence; A generalization of the Ornstein theory. DANIEL J. RUDOLPH, University of Maryland, College Park (796-60-59) 10:00-10:20 (302) Lattices acting on boundaries of semisimple groups. RALF J. SPATZIER, University of Maryland, College Park (796-22-38) (Introduced by Matthew G. Brin) 10:30-10:50 (303) Synchronization for non-stationary deep space codes. Preliminary report. LAIF SWANSON*, Jet Propulsion Laboratory, Pasadena, and GARY LORDEN and ROBERT J. MCELIECE, California Institute of Technology (796-28-161) 11:00-11:20 (304) Mixing on sequences. NATHANIEL A. FRIEDMAN, State University of New York, Albany (796-28-29) Thursday, 9:00a.m. Special Session on Nonlinear Partial Dilferential Equations in Physics and Geometry, II Sidney Smith Hall, Room 1085 9:00- 9:20 (305) Higgs fields and homogeneous spaces. THOMAS H. PARKER, Harvard University (796-53-188) 9:30- 9:50 (306) Properties of minimal hypersurfaces obtained by variational methods in the large. Preliminary report. JON T. PITTS, Texas A&M University, College Station (796-49-175) 10:00-10:20 (307) Existence and boundary regularity for the. Monge-Ampere equation and related problems. Preliminary report. L. A. CAFFARELLI and L. NIRENBERG, Courant Institute of Mathematical Sciences, New York University, and J. SPRUCK*, City University of New York, Brooklyn College (796-35-162) 10:30-10:50 (308) Characteristics and existence of isometric embeddings. ROBERT L. BRYANT, Rice University, and PHILIP A. GRIFFITHS and DEANE YANG*, Harvard University (796-53-73) 452 11:00-11:20 (309) Codazzi tensors and equations of Monge-Ampere type on compact manifolds of constant cun~ature. V.I. OLIKER*, University of Iowa, and U. SIMON, Technische Universitii.t, Berlin, Federal Republic of Germany (796-53-159) Thunday, 1:00 p.m. Colloquium Lecture&: Lecture IV Medical Sciences Building Auditorium, Room 2158 1:00- 2:00 (310) Convergence in ordinary and partial differential equations. MORRIS W. HIRSCH, University of California, Berkeley Thunday, 1:00 p.m. Special Seaaion on Dillerete and Computational Geometry, v Medical Sciences Building, Room 3171 1:00- 1:20 (311) On the minimum number of different distances determined by n points. FAN R. K. CHUNG, Bell Laboratories, Murray Hill (796-05-207) 1:30- 1:50 (312) On the movement of "robot arms" in 2-dimensional bounded regions. Preliminary report. J. E. HOPCROFT, D. A. JOSEPH, and S. H. WHITESIDES*, Cornell University (796-51-213) 2:00- 2:20 (313) The minimum number of empty triangles. Preliminary report. GEORGE B. PURDY, Texas A&M University, College Station (796-05-301) 2:30- 2:50 (314) Extremal properties in combinatorial geometry. DAVID AVIS, McGill University (796-51-118) (Introduced by Jacob E. Goodman) 3:00- 3:20 (315) A combinatorial lemma with applications. JANOS KOML6s, University of San Diego (796-05- 277) (Introduced by Jacob E. Goodman) Thunday, 1:00 p.m. Special Seaaion on Ergodic Theory, m Sidney Smith Hall, Room 1087 1:00- 1:20 (316) Topological minimal self-joinings. NELSON G. MARKLEY, University of Maryland, College Park (796-54-129) 1:30- 1:50 (317) Another proof of the ezistence of the ergodic Hilbert transform. KARL PETERSEN, University of North Carolina, Chapel Hill (796-28-66) 2:00- 2:20 (318) Periodic and quasi-periodic orbits or twist maps and Houpt system. A. KATOK, University of Maryland, College Park (796-99-323) (Introduced by Nathaniel F. G. Martin) 2:30- 2:50 (319) Periodic orbits for the horocyclic flow and applications. PETER CLIVE SARNAK, Courant Institute of Mathematical Sciences, New York University (796-99-324) Thunday, 1:00 p.m. Special Seaaion on Pade Approximation& and Continued Fraction&, IV Sidney Smith Hall, Room 2102 1:00- 1:20 (320) On Pade approzimants associated with Hamburger series. WALTER GAUTSCHI, Purdue University, West Lafayette (796-41-124) 1:30- 1:50 (321) Location of the zeros of polynomials satisfying three term recurrence relations; perspective for the theory of Pade approzimants. Preliminary report. JACEK GILEWICZ, Centre National de la Recherche Scientifi.que, Marseille (796-30-245) (Introduced by C. Brezinski) 2:00- 2:20 (322) Moment methods in Pade approzimation: The unitary case. E. HENDRIKSEN and H. VAN RossuM*, University of Amsterdam, The Netherlands (796-41-48) 2:30- 2:50 (323) Examples of repeated modifications of continued fractions. ELAINE PULEO, University of Southern Colorado, and HAAKON WAADELAND*, University of Trondheim, Norway (796-41-243) (Introduced by William B. Jones) 3:00- 3:20 (324) On a conjecture of Saff and Varga. ALBERT EDREI, Syracuse University (796-41-165) Thunday, 3:20p.m. .Invited Addreaa Medical Sciences Building Auditorium, Room 2158 3:20- 4:20 (325) Winding numbers and Fourier transforms. BRENT PENDLETON SMITH, California Institute of Technology (796-43-300) Thunday, 4:30p.m. Invited Addreaa Medical Sciences Building Auditorium, Room 2158 4:30- 5:30 (326) Recent developments in statistical mechanics. JOEL L. LEBOWITZ, Rutgers University, New Brunswick (796-82-21) Raymond G. Ayoub University Park, Pennsylvania Associate Secretary 453 Mathematical Reviews Cumulative Index 1973-1979 VOLUMES 45 THROUGH 58 OF MATHEMATICAL REVIEWS This index is available in twelve 9 x 12 inch volumes on acid·free paper or on ap· proximately 85 standard 105 x 148mm diazo film microfiche. AMY wfifufia flud kM ~e4 flee Ucde" • ellbt POfJ" "' ltfieluJ6ith a! ~~egufM p'&iu& eoa pUIIeka6e a &eemul eefJY M lttieluJ6ith ~"' $535. The CUMULATIVE INDEX has the same form as the Annual Index for 1979 as it was generated by the same computer program. The first part, an Author and Kay Index, contains 4,860 pages in seven volumes. The entries give full bibliographic information about all items that have been reviewed in MR between January 1973 and December 1979, inclusive. This is over 230,000 entries. In addition, there are entries for about 3,000 items not reviewed in MR for which the editors think bibliographic information should be made available. These have been treated exactly as reviewed items, generally with references to Zantralblatt fiir Mathematik, Rafarativnyl Zurnal, or other reviewing journals. Items are listed alphabetically by author, those having several authors are listed in full under each author. Surnames of authors are cross-referenced for name changes or variations of spelling. The original entry for which an erratum or other commentary has been reviewed in a subsequent entry is identified. The author index section is estimated to have about 300,000 en· tries because of multiple authors. In the Author Index the names of persons associated with an item sub· in a capacity other than that of author, e.g., editor, translator, Publication August 1981 ject of a biography, are also listed. ISBN 0·8218·0035·3 The Kay Index section of the author index consists of all items for 8,415 Pages which there is no clear author and is about 70 percent cross Twelve Volumes referenced included are proceedings of meetings, tables, obit· Soft Cover uaries, biographies, etc. The entries under a given heading (i.e., the author or a title) are List $1 ,070.00 $803. listed in order of publication dates. Co-authored items are treated Institutional Member, on the same basis as those by the author alone. Individual Member, $535.00 MR Reviewer, $356. The Subject Index, consisting of about 380,000 listings on 3,555 by pages, in five volumes, cover all subject areas as classified SECOND COPY ON FICHE $535. MR. For each item there is one full listing in each subject area in num· which it has been classified, with all authors, title and MR Please use code MREVIN/73/79 ber, if any. Cross-references are given under each author after the PREPAYMENT IS REQUIRED first to the original listing. The arrangement of each title entry is that of the heading of the American Mathematical Society original review in MR. Titles in English, French, German, and P.O. Box 1571, Annex Station Italian are usually given as they appeared in the original. Articles Providence, Rhode Island 02901 in other languages are given in English translation. USA 454 College Park, October 30-31, 1982, University of Maryland Second Announcement of the 797th Meeting The seven hundred ninety-seventh meeting of the Most of the papers to be presented at these American Mathematical Society will be held at the special sessions will be by invitation of the organizers. University of Maryland, College Park, on Saturday However, anyone submitting an abstract for the and Sunday, October 30-31, 1982. All sessions will be meeting who feels that his or her paper would held in the Mathematics Building, and the adjacent be particularly appropriate for one of these special· Physics Building. sessions should indicate this clearly on the abstract Invited Addresses and submit it by August 13, two weeks before the deadline for contributed papers. By invitation of the Committee to Select Hour Speakers for Eastern Sectional Meetings, there will Contributed Papers be four invited one-hour addresses. The speakers are There will also be sessions for contributed ten as follows: minute papers. Abstracts should be sent to the ROBERT FEFFERMAN, University of Chicago, American Mathematical Society, P. 0. Box 6248, title to be announced. Providence, Rhode Island 02940, so as to arrive prior DORIS FISHER-COLBRI, University of Califor to the deadline of August 27. Abstracts should be nia, Berkeley, and Columbia University, title to be prepared on the standard AMS form available from announced. the AMS office in Providence, or in departments of ALPHONSE VASQUEZ, Graduate School and mathematics. University Center, City University of New York, Other Organizations Hilbert modular varieties. The Association for Women in Mathematics SCOTT WOLPERT, University of Maryland, (AWM) is planning a breakfast on Sunday morning. College Park, The Kiihler geometry of Teichmi.iller An informal program is being arranged to take place space. in conjunction with this breakfast. Special Sessions Registration By invitation of the same committee, there will The registration desk will be located in the rotunda be twelve sessions of selected twenty-minute papers. (lobby) of the Mathematics Building. It will be open The topics of these special sessions and names of the from 8:30a.m. to 4:30p.m. on Saturday, and from organizers are: 8:30 a.m. to 12:30 p.m. on Sunday. The registration Number theory, WILLIAM W. ADAMS and fees will be $10 for members, $16 for nonmembers, LAWRENCE C. WASHINGTON, University of and $5 for students and unemployed mathematicians. Maryland, College Park. Aeeomm.odations Lie groups and differential geometry, A. ADEBOYE, Howard University, and ALFRED Blocks of rooms are being held for participants at GRAY, University of Maryland, College Park. the following area motels. Individuals should make Differential equations, KATHY ALLIGOOD, their own reservations prior to the cut-off date of College of Charleston. Oetober 1, and should also identify themselves as participants in the American Mathematical Society's The legacy of Norbert Wiener, JOHN J. meeting in order to obtain the special rates. Advance BENEDETTO, University of Maryland, College Park, payment of one night's lodging is required. Rates do and PESI R. MASANI, University of Pittsburgh. not include the 5 percent Maryland tax. Distances to Differential geometry and 3-manifolds, R. the Mathematics Building are shown in parentheses. BROOKS, WALTER D. NEUMANN, and SCOTT WOLPERT, University of Maryland, College Park. Best Westem Maryland Inn (.75 miles) Lie groups and generalized classical special 8601 Baltimore Avenue 20740 Telephone: 301-474-2800 functions, LAWRENCE C. BIEDENHARN, Duke University. Single $36 Double S42 Harmonic analysis, ROBERT FEFFERMAN. Centre for Adult Edueation (1 mile) Mathematical physics, EVANS M. HARRELL, University Boulevard & Adelphi Road 20742 Johns Hopkins University. Telephone: 301-454-2325 Complex analysis, JOHN R. QUINE, Florida Single $37 Double $45 State University. This hotel is on the campus of the University of Representation theory and automorphic forms, Maryland, but only has rooms available for the night J. A. SHALIKA, Johns Hopkins University. of October 30. Topology of algebraic and analytic varieties, Quality Inn (.8 miles) ALPHONSE VASQUEZ. 7200 Baltimore Avenue 20740 Model theory, CAROL WOOD, Wesleyan Univer Telephone: 301-864-5820 sity. Single $36.50 Double $42.50 455 Although rooms have not been blocked at the Travel following motels, and current rates are not available, College Park is located northeast of the capitol they are included here for information purposes. building. The best route for those coming by car is to Best Western Royal Pine Motel (1.25 miles) take exit 27 off the Beltway (Interstate 495), which is 9113 Baltimore Avenue 20740 Baltimore Avenue (Route 1), and proceed southwest Telephone: 301-345-4900 for about two and one-half miles. Holiday Inn College Park (1.4 miles) The most convenient airport for those arriving 9137 Baltimore Avenue 20740 by air is Baltimore-Washington International, where Telephone: 301-345-5000 limousine service leaves at regular intervals all day Holiday Inn Capitol Beltway (2.4 miles) and brings passengers to the Greenbelt Terminal 10000 Baltimore Avenue 20740 building, where passengers transfer to smaller vehicles Telephone: 301-345-6700 or 800-238-8000 which stop at the motels listed above. The fare is Food Service $11 for one passenger, or $16.50 for anywhere from two to five passengers. A cafeteria located in the Adult Education Center from National will be open from 8:00 a.m. to 7:00 p.m. on Limousine service is also available and Dulles Airports; however, reservations must be Saturday, and from 8:30 a.m. to 9:00 p.m. on by calling 301-622-0700. Sunday. In addition, many restaurants located on made 24 hours in advance from National and $15 Baltimore Avenue are within easy walking distance The fare is $10 per person from Dulles Airports. of the Mathematics Building. A list of restaurants will be available at the registration desk. Participants coming by train should take the red line metro to Silver Springs. Leave the train at Parking Brookland, and then take the R-2 bus line marked Two large lots are located close to the Mathematics Calverton. Building, and there are no parking restrictions on Saturday or Sunday. One lot is off Baltimore Avenue Raymond G. Ayoub near Campus Drive; the other is off Stadium Drive. University Park, Pennsylvania Associate Secretary and an inversion of the list showing LC numbers MATHFILE USER'S GUIDE and corresponding AMS classification codes. MATHFILE 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 MATHFILE 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 MATHFI LE 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 ISSN, Coden, and specific subject. useful publishing information. Approximately 350 pages, Three-ring Binder $37.50, Systems. A correlated four List price $50.00, institutional member Subject Classification individual member $37.50 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.O. Box 1571, Annex Station, Providence, Rl 02901, or call toll free 800-556-7774 to charge with Visa or MasterCard. 456 Baton Rouge, November 12-13, 1982, Louisiana State University Second Announcement of the 798th Meeting The seven hundred ninety-eighth meeting of E. Keesling, Krystyna M. Kuperberg, Andryzej Lelek, the American Mathematical Society will be held John Clyde Mayer, James T. Rogers, M. Smith, Ed at Louisiana State University in Baton Rouge, ward D. Tymchatyn, John J. Walsh, and David C. Louisiana, on Friday and Saturday, November 12-13, Wilson. 1982. Most sessions will be held in Pleasant Hall and Applications of algebraic K-theory to toplogy, the LSU Student Union. FRANK QUINN, Virginia Polytechnic Institute. Invited Addresses The tentative list of speakers includes Douglas R. Anderson, Amir Hossein, David W. Carter, Steven By invitation of the Committee to Select Hour C. Ferry, Wu-Chung Hsiang, Neal W. Stoltzfus, and Speakers for Southeastern Sectional Meetings, there Charles A. Weibel. will be four invited one-hour addresses. The speakers, and the titles and times of their talks are: Most of the papers to be presented at these special sessions will be by invitation. However, anyone J. THOMAS BEALE, Tulane University, Some submitting an abstract for the meeting who feels that existence questions for the equations of surface his or her paper would be particularly appropriate waves, 11:00 a.m. Friday. for one of these special sessions should indicate this ERIC BEDFORD, Princeton University, Topics clearly on the abstract and submit it by August 3, on holomorphic mappings, 4:30p.m. Friday. 1982, three weeks before the deadline for contributed JON CARLSON, University of Georgia, Cohomol papers. ogy and varieties of modules over group algebras, 8:30 a.m. Saturday. Contributed Papers WILLIAM PARDON, Duke University, Lower There will also be sessions for contributed ten K-theory and singularities, 1:30 p.m. Saturday. minute papers. Abstracts should be sent to the Special Sessions American Mathematical Society, P. 0. Box 6248, Providence, Rhode Island 02940, so as to arrive prior By invitation of the same committee, there will be to the deadline of August 24. Abstracts should be six special sessions of selected twenty-minute papers. prepared on the standard AMS forms available from The topics of the special sessions, the names of the the AMS office in Providence, or in departments of organizers, and partial lists of speakers are as follows: mathematics. Nonlinear partial differential equations, GILES AUCHMUTY, University of Houston. The tentative Registration list of speakers includes Ronald J. DiPerna, James The meeting registration desk will be located in R. Dorroh, L. Craig Evans, William E. Fitzgibbon, the lobby of Pleasant Hall, and will be open from Jerome A. Goldstein, Basil Nicolaenko, Maria Elena 10:00 a.m. to 4:00p.m. on Friday, and from 9:00 a.m. Schonbeck, Ralph E. Showalter, Gary A. Sod, Murray to 2:00 p.m. on Saturday. The registration fees are R. Cantor, and David G. Schaeffer. $10 for members, $16 for nonmembers, and $5 for Universal algebra and combinatorics, TREVOR students and unemployed mathematicians. EVANS, Emory University. The tentative list of Accommodations speakers includes Joel David Berman, Stephen D. Comer, Dwight A. Duffus, Bernhard Ganter, C. C. Rooms have been blocked for participants at Lindner, N. S. Mendelsohn, Kevin T. Phelps, Robert Pleasant Hall and at the Prince Murat Motor Inn. Willis Quackenbush, Robert L. Roth, Jr., and Boris Individuals should make their own reservations prior M. Schein. to the cut-off date of October 25. Pleasant Hall is by far the most convenient place to stay; none of Representations of finite groups, EDWARD the others are within reasonable walking distance of GREEN, Virginia Polytechnic Institute. The the LSU campus, but all are within 5 miles of the tentative list of speakers includes Jonathan L. campus. The AMS meeting should be mentioned at Alperin, David Burry, William H. Gustafson, Andy either Pleasant Hall or the Prince Murat. None of Roy Magid, and Leonard L. Scott, Jr. the quoted rates include the applicable 8 percent tax. Several complex variables, MORRIS KALKA, Tulane University. The tentative list of speakers Pleasant Hall includes Albert Boggess, Daniel M. Burns, Jr., Chong LSU Campus (70803) Kyu Han, F. Reese Harvey, Stephen G. Krantz, John Telephone: 504-387-0297 Lee, Ngaiming Mok, Theodore Shifrin, Albert L. Single $26 Double $31.50 Vitter Ill, Sidney M. Webster, Pit-Mann Wong, and Prince Murat Motor Inn William R. Zame. 1480 Nicholson Drive (70802) Continua theory, LEX OVERSTEEGEN, Univer Telephone: 504-387-1111 sity of Alabama, Birmingham. The tentative list of (call collect for reservations) speakers includes Harold Bell, James F. Davis, James Single $27 Double $36 457 Although rooms have not been blocked at the Parking following, they are included here for information There is a large double parking lot in front of purposes. Pleasant Hall. It should provide ample parking on Rodewaylnn Saturday, but on Friday some people may have to 2445 S. Acadian Thruway (70808) park at Hart lot next to Kirby Smith Hall. To reach Telephone: 504-925-8141 the Hart lot, take the first right turn past Pleasant (or 1-800-228-2000 for reservations) Hall; this is Infirmary Road. Proceed one block Single $34 Double $40 to the intersection just beyond the Student Health Howard Johnson's East Service Building and turn left into the drive that 2365 College Drive (70808) runs alongside the Student Health Service Building. Telephone: 504-925-2451 Follow this drive to the parking lot (see insert map). (or 1-800-654-2000 for reservations) Travel $42 Single $37 Double Baton Rouge is 80 miles northwest of New Orleans Baton Rouge Hilton on 1-10. To reach Pleasant Hall, take 1-10 exit 156B 5500 Hilton Avenue (70808) and proceed south on Dalrymple Drive. Pleasant Telephone: 504-924-5000 Hall is the first building on the right after crossing Single $59 Double $71 Highland Road (see map). Sheraton Baton Rouge Baton Rouge is served by Delta, Republic, Texas 4728 Constitution Avenue (70808) International, Royale, and American Airlines. There Telephone: 504-925-2244 are numerous regular flights to Baton Rouge from Single $63 Double $73 Chicago, Dallas, Houston, New Orleans, and Atlanta. to Pleasant Hall is $5 per Food Service Airport Limousine service person. Union and at Food is available at the LSU Student Avis, Dollar, Hertz, National and Thrifty car rental easy walking distance. numerous restaurants within agencies have offices at the airport. Pleasant Hall maintains a snack bar. Both Greyhound and Trailways provide bus service Entertainment to Baton Rouge, but there is no train service. There will be a beer party on Friday evening at the LSU Faculty Club. Tickets will be available at Frank T. Birtel the registration desk for $2 per person. New Orleans, Louisiana Associate Secretary p------, -insert map- 1 CHIMES ST. onewa I c c ~ + I [1] ~ 1 ~ I N c 2 ~ ~ 5 I ili ;: I WI I BATON ROUGE 1--PLEASANT HALL 2--PRINCE MURAT HOTEL 3--RODEIIAY INN 4--HOWARD JOHNSON'S MOTOR LODGE 5--HILTON HOTEL &-·SHERATON HOTEL 7--STUDENT HEALTH SERVICES BUILDING 8--MUSIC AND D~TIC ARTS BUILDING 458 East Lansing, November 12-13, 1982, Miehigan State University First Announcement of the 799th Meeting The seven hundred ninety-ninth meeting of the Reactive diffusion systems, DONALD G. ARON American Mathematical Society will be held at SON, University of Minnesota, Minneapolis. Michigan State University, East Lansing, on Friday Banach spaces of analytic functions, SHELDON and Saturday, November 12-13, 1982. Sessions AxLER, Michigan State University. will be held in the Kellogg Center for Continuing Semigroup theory, KARL E. BYLEEN and Education, which also contains guest rooms. PETER R. JONES, Marquette University, and Invited Addresses JOHN ZELEZNIKOW, Michigan State University. Finite geometries and related topics, JONA By invitation of the 1982 Committee to Select THAN I. HALL, Michigan State University. Hour Speakers for Central Sectional Meetings, there Geometry of foliations, PHILIPPE M. TON will be four invited one-hour addresses. The speakers, DEUR, University of Illinois, Urbana-Champaign. their titles, and the scheduled times of presentation Classical complex analysis, ALLEN W. are as follows: WEITSMAN, Purdue University. HAROLD G. DONNELLY, Purdue University, Most of the papers to be presented at these special 2 L cohomology of complete Riemannian manifolds, sessions will be by invitation. However, anyone 1:45 p.m. Saturday. submitting an abstract for the meeting who feels that WILLIAM T. EATON, University of Texas, his or her paper would be particularly appropriate Austin, Some uses of decomposition spaces in for one of these special sessions should indicate this manifold theory, 1:45 p.m. Friday. clearly on the abstract and submit it by August 23 SIMON HELLERSTEIN, University of Wisconsin, 1982, three weeks before the deadline for contributed Madison, Reality of the zeros of derivatives of entire papers. and meromorphic functions, 11:00 a.m. Friday. Contributed Papers JEFFREY B. RAUCH, University of Michigan, Ann Arbor, Nonlinear interaction of waves: Recent There will also be sessions for contributed ten discoveries, 11:00 a.m. Saturday. minute papers. Abstracts should be sent to the All four talks will be given in the auditorium of American Mathematical Society, P. 0. Box 6248, the Kellogg Center. Providence, Rhode Island 02940, so as to arrive prior to the deadline of September 13. Abstracts should Special Sessions be prepared on the standard AMS form available from the AMS office in Providence, or in departments By invitation of the same committee, there will of mathematics. be seven sessions of selected twenty-minute papers. The topics of these special sessions and names of the Information about accommodations and travel will organizers are: be published in the next two issues of the Notices. Geometric topology, SELMAN AKBULUT and Paul T. Bateman MICHAEL HANDEL, Michigan State University. Urbana, Illinois Associate Secretary PROCEEDINGS OF THE STEKLOV INSTITUTE A METHOD OF AVERAGING IN THE THEORY diverging on a set of positive measure for a bounded OF ORTHOGONAL SERIES AND SOME orthonormal system). New inequalities are obtained QUESTIONS IN THE THEORY OF BASES for a sequence of numbers and for orthogonal sys by S. V. Bockarev tems. In this monograph a method of averaging is pre CONTENTS sented and developed for problems on the divergence I. Averaging over independent arrangements of signs of Fourier series in arbitrary orthonormal systems. II. Averaging over shifts and singular functions A number of familiar problems in the theory of Ill. Averaging over supports of ll-functions orthogonal series and the theory of bases are solved IV. Some problems in the theory of bases (Zygmund's problem on the absolute convergence of 1980, Issue 3, Number 146, vi + 92 pages (soft cover) trigonometric Fourier series of functions of bounded List price $29.20, institutional member $21.90, individual member $14.60 variation, Banach's problem on the existence of a ISBN 0.8218-304S·7; LC 80·26300 basis in the space of analytic functions in the disk, Publication date: December 1980 the problem of the existence of a Fourier series To order, please specify STEKL0/146N Prepayment is required for all AMS publications. Order from AMS, P.O. Box 1571, Annex Station, Providence, Rl 02901, or call toll free 80Q-556-7774 to charge with Visa or MasterCard. 459 Monterey, November 19-20, 1982, Naval Postgraduate School First Announcement of the BOOth Meeting The eight hundredth meeting of the American They should be sent to the American Mathematical Mathematical Society will be held at the Naval Society, Post Office Box 6248, Providence, Rhode Postgraduate School in Monterey, California, on Island 02940, so as to arrive by the deadline of Friday and Saturday, November 19-20, 1982. This September 20, 1982. Late papers will be accepted meeting will be held in conjunction with a meeting of for presentation at the meeting, but will not appear the Society for Industrial and Applied Mathematics in the printed program. (SIAM). SIAM Program Invited Addresses PETER C. C. WANG of the Naval Postgraduate By invitation of the Committee to Select Hour School will deliver an address entitled, Recent Speakers for Far Western Sectional Meetings, there CAD/CAM developments. ALFRED WEAVER of will be two invited one-hour addresses. The speakers the University of Virginia will deliver an address are: entitled, Microcomputer applications. DAVID GIESEKER, University of California, Los Social Events Angeles, Special divisors on Riemann surfaces. At a luncheon on Friday, PETER C. C. WANG RICHARD SCHOEN, University of California, will give a slide presentation on Engineering data Berkeley, title to be announced. handling and computer aided design. A social hour Speeial Sessions at 5:30 on Friday evening will precede a banquet By invitation of the same committee, there will be at 7:00 p.m., at which JOSEPH B. KELLER of four special sessions of selected twenty-minute papers. Stanford University will be the speaker. The cost The topics of the special sessions and the names of for the luncheon is approximately $5 per person; the the organizers are: estimated cost for the banquet is $12 per person. Mathematical biology, FRANK C. HOPPEN Participants interested in attending either of these STEADT, University of Utah. functions, both of which will take place at Hermann Partial differential equations and differential Hall, should send their reservations to Code 53WG, geometry, PETER LI, Stanford University. Peter C. C. Wang, Department of Mathematics, Naval Postgraduate School, Monterey, California Algebraic geometry, KENT MORRISON, Califor 93940 prior to September 1, 1982, so the department nia Polytechnic State University. will know how many are planning to attend. Payment Systems theory, CHEN-HAN SUNG, University for the luncheon and/or banquet will be collected at of California, Santa Barbara. the door. Most of the papers to be presented at these special sessions will be by invitation of the organizers. Registration However, anyone contributing an abstract for the The meeting registration desk will be located meeting who feels that his or her paper would outside of Room 122 Ingersoll Hall, and will be open be particularly appropriate for one of the special from 11:00 a.m. to 5:30 p.m. on Friday, and from sessions should indicate this clearly on the abstract 8:00 a.m. to 12:30 p.m. on Saturday. Registration and submit it by August 30, 1982, three weeks fees will be $6 for members of the AMS or SIAM, $8 before the deadline for contributed papers. for nonmembers, and $2 for students or unemployed mathematicians. Contributed Papers Information about accommodations and travel will There will also be sessions for contributed ten appear in the October issue of the Notices. minute papers. Abstracts should be prepared on the standard AMS form available from the AMS office Hugo Rossi in Providence or in departments of mathematics. Salt Lake City, Utah Associate Secretary 460 Call For Topics For 1984 AMS Conferences Suggestions are invited from mathematicians, and usually extend over a three-week period. Dates either singly or in groups, for topics of the various for a summer institute must not overlap those of conferences that will be sponsored by the Society in the Society's summer meeting (not known at this 1984. The deadline for receipt of these suggestions, printing, but sometime in August) and, in fact, there and the name and address of the person to whom should be a period of at least one week between the information should be sent, as well as some them. Recent topics are Operator algebras and relevant information about each of the conferences applications (1980), Singularities (1981), Recursion are outlined below. The accompanying form (or theory (1982), and Nonlinear functional analysis a facsimile thereof) is to be used when submitting and its applications (1983). Proceedings are suggested topic(s) for any of these conferences. published by the Society as volumes in the series Individuals willing to serve as organizers should be Proceedings of Symposia in Pure Mathematics. aware that the professional meeting staff in the Deadline For Suggestions: October 15, 1982 Society's Providence office will provide full support Submit to: Professor Robert Osserman, Chairman, and assistance, before, during, and after each of AMS Committee on Summer Institutes (see form for these conferences. Organizers should also note that address). a member of the Organizing Committee must be willing to serve as editor of the proceedings volume that will be published by the Society. 1984 AMS-SIAM Summer Seminar All suggestions must include (1) the names and The goal of the summer seminar is to provide an affiliations of proposed members and chairman of environment and program in applied mathematics the Organizing Committee; (2) a two- or three in which experts can exchange the latest ideas page detailed outline of the subject(s) to be covered, and newcomers can learn about the field. Recent including the importance and timeliness of the topic; topics are Algebraic and geometric aspects of linear (3) a list of the recent conferences in the same or systems theory (1979), Mathematical aspects of closely related areas; (4) the names and affiliations physiology (1980), Fluid dynamical problems in of the proposed principal speakers; and (5) a list of astrophysics and geophysics (1981), Applications likely candidates who would be invited to participate of group theory in physics and mathematical and their current affiliations. Any suggestions as to physics (1982), and Large-scale computations in sites and dates should be made as early as possible fluid mechanics (1983). Proceedings are published in order to allow adequate time for planning. In the by the Society as volumes in the series Lectures in case of a Summer Research Conference, a orie-, two-, Applied Mathematics. or three-week conference may be proposed. Deadline For Suggestions: October 30, 1982 Submit to: Professor Alan C. Newell, Chairman, 1984 Symposium In Pure Mathematies AMS-SIAM Committee on Applied Mathematics (see form for address). This four-day symposium in pure mathematics takes place in every even-numbered year in conjunc 1984 AMS Summer Researeh tion with a spring Central Sectional Meeting. The next such symposium will be held during the four Conferenee Series days preceding the proposed April6-7, 1984 meeting at the University of Notre Dame. Topics in recent These conferences are similar in structure to years have been Relations between combinatorics those held at Oberwolfach, and represent diverse and other parts of mathematics (1978), The math areas of mathematical activity, with emphasis on areas currently especially active. Careful attention ematical heritage of Henri Poincare (1980), and is paid to subjects in which there is important Several complex variables (1982). Proceedings are interdisciplinary activity at present. Topics for the published by the Society as volumes in the series first series of one-week conferences, being held in Proceedings of Symposia in Pure Mathematics. 1982, are Probabilistic computational complexity, Deadline For Suggestions: August 15, 1982 Ergodic theory and applications, Nonlinear partial Submit to: Professor M. S. Baouendi, Chairman, differential equations, Values of L-series at special points, Four-manifold theory, and Quantum fields, AMS Committee to Select Hour Speakers for Central Sectional Meetings (see form for address). probability and geometry. Proceedings are scheduled to be published by the Society as volumes in the series Contemporary Mathematics. 1984 AMS Summer Institute Deadline For Suggestions: November 15, 1982 Summer institutes are intended to provide an Submit to: Professor R. 0. Wells, Jr., Chairman, understandable presentation of the state of the art AMS Committee on Summer Research Conferences in an active field of research in pure mathematics, (see form for address). 461 American Mathematical Society Conferences Suggested Topic For 1984 Conference (check one) D Symposium in Pure Mathematics D Summer Seminar (AMS-SIAM) (Held in conjunction with a Central Sectional (In applied mathematics and held in June/July) Meeting) Submit this form before the October 30, 1982 Submit this form before the August 15, 1982 deadline to: Professor Alan C. Newell, Chairman, deadline to: Professor M. S. Baouendi, Chairman, AMS-SIAM Committee on Applied Mathematics, AMS Committee to Select Hour Speakers for Central Program in Applied Mathematics, University of Sectional Meetings, Department of Mathematics, Arizona, Tucson, Arizona 85721 Purdue University, West Lafayette, Indiana 47907 D Summer Research Conferences D Summer Institute (Series of six to ten week-long conferences held in (In pure mathematics and held in July/August) June/July /August) Submit this form before the October 15, 1982 Submit this form before the November 15, deadline to: Professor Robert Osserman, Chairman, 1982 deadline to: Professor R. 0. Wells, Jr., AMS Committee on Summer Institutes, Department Chairman, AMS Committee on Summer Research of Mathematics, Stanford University, Stanford, Conferences, Department of Mathematics, Rice California 94305 University, Houston, Texas 77001 Please print or type your responses. Return completed application to chairman of appropriate committee by deadline listed. I propose organizing an AMS conference in 1984, as specified above, on the following topic: I suggest the following members and chairman of the Organizing Committee. These individuals have D / 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. 462 Invited Speakers R. Brooks, Walter D. Neumann, and Scott Wolpert, Differential geometry and 3-manifolds and Special Sessions Lawrence C. Biedenharn, Lie groups and generalized classical special /'Unctions Robert Fefferman, Harmonic analysis Invited Speakers at AMS Meetings Evans M. Harrell, Mathematical physics John R. Quine, Complex analysis The individuals listed below have accepted invita J. A. Shalika, Representation theory and automor tions to address the Society at the times and places phic forms indicated. For some meetings, the list of speakers is Alphonse Vasquez, Topology of algebraic and incomplete. analytic varieties College Park, October 1982 Carol Wood, Model theory Robert Fefferman Alphonse Vasquez Nove~nber 1982 ~eeting in Baton Rouge Doris Fisher-Colbri Scott Wolpert Southeastern Section Baton Rouge, November 1982 Deadline for consideration: August 9 J. F. G. Auchmuty, Nonlinear partial differential J. Thomas Beale Jon Carlson equations Eric Bedford William Pardon Trevor Evans, Universal algebra and combinatorics East Lansing, November 1982 Edward Green, Representations of finite groups Harold G. Donnelly Simon Hellerstein Morris Kalka, Several complex variables William T. Eaton Jeffrey B. Rauch Lex Oversteegen, Continua theory Frank Quinn, Applications of algebraic K-theory to ~ootere,y, Nove~nber1982 topology David Gieseker Richard Schoen NOVeiDber 1982 ~eeting in East Lansing Denver, January 1983 Central Section Deadline for consideration: August S9 Michael Aizenman Benedict H. Gross Bradley Efron Roger E. Howe Selman Akbulut and Michael Handel, Geometric Charles L. Fefferman Samuel Karlin topology (Colloquium Lecturer) (Gibbs Lecturer) Donald G. Aronson, Reactive diffusion systems Michael H. Freedman Neil J. A. Sloane Sheldon Axler, Banach spaces of analytic /'Unctions David Gieseker Karl E. Byleen, Peter R. Jones, and John Zeleznikow, Andrew M. Gleason (Retiring Presidential Address) Semigroup theory Jonathan I. Hall, Finite geometries and related Albany, August 1983 topics James Eells J. H. B. Kemperman Philippe M. Tondeur, Geometry of foliations Robert C. Gunning Allen W. Weitsman, Classical complex analysis November 1982 ~eeting in ~ontere,y Organizers and Topics Far Western Section Deadline for consideration: August 90 of Special Sessions Frank C. Hoppensteadt, Mathematical biology The list below contains all the information about Peter Li, Partial differential equations and Special Sessions at meetings of the Society available differential geometry at the time this issue of the Notices went to the Kent Morrison, Algebraic geometry printer. Chen-Han Sung, Systems theory The section below entitled Information for January 1983 ~eeting in Denver Organisers describes a new timetable for announcing Associate Secretary: Paul T. Bateman the existence of Special Sessions which will take effect Deadline for consideration: September S1, 198S in January 1983. Irving H. Anellis and G. E. Mine, Proof theory October 1982 ~eeting in College Park Woodrow W. Bledsoe, Automatic theorem proving Charles W. Curtis, Representation theory of finite Eastern Section groups of Lie type Deadline for consideration: August 19 P. D. T. A. Elliott and Wolfgang M. Schmidt, William W. Adams and Lawrence C. Washington, Diophantine problems and analytic number Number theory theory A. Adeboye and Alfred Gray, Lie groups and John W. Gray, Applied category theory differential geometry A. G. Kartsatos and Mary E. Parrott, Monotonicity Kathy Alligood, Differential equations methods in differential equations John J. Benedetto and, Pesi R. Masani, The legacy S. L. Lee and M. Zuhair Nashed, Abstract adjoints of Norbert Wiener and boundary problems 463 Peter A. McCoy, Function-theoretic methods in Society, who wishes to do so, to submit an abstract differential equations for consideration for presentation in the Special for such consideration. Duong Hong Phong, Pseudo-differential operators Session before the deadline meetings and applications Special Sessions are effective at sectional and can usually be accommodated. They are arranged Pomerance, Number-theoretic algorithms Carl by the Associate Secretary under the supervision of operator Norberto Salinas, Operator algebras and the Committee to Select Hour Speakers for the theory Arthur Schlissel, History of mathematics Send Proposals for Special Sessions to the Associate Secretaries March 1983 Meeting in Norman in charge of the AMS Central Section The Associate Secretary Meeting in Denver, January 27, 1982 program at the Annual Deadline for organizers: August Special Deadline for consideration: To be announced 1983, is Paul T. Bateman (address below); Sessions planned for this meeting had to be April1983 Meeting in New York approved prior to June 9, 1982. The Associate Eastern Section Secretary in charge of the AMS program at the Deadline for organizers: August 27, 1982 Summer Meeting in Albany, August 1983, is Hugo Deadline for consideration: To be announced Rossi (address below); Special Sessions for this 11, 1983. April1983 Meeting in Salt Lake City meeting must be approved before January The programs of sectional meetings are arranged by Far Western Section the Associate Secretary for the section in question: Deadline for organizers: August 27, 1982 Deadline for consideration: To be announced Far Western Section (Pacific and Mountain) Secretary August 1983 Meeting in Albany Hugo Rossi, Associate Department of Mathematics Secretary: Hugo Rossi Associate University of Utah January 11, 1989 Deadline for organizers: City, UT 84112 Deadline for consideration: To be announced Salt Lake (Telephone 801-581-8159) Central Section Information for Organizers Paul T. Bateman, Associate Secretary Department of Mathematics Special Sessions at Annual and Summer meetings University of lllinois are held under the general supervision of the Urbana, IL 61801 Program Committee. They are administered by (Telephone 217 -333-4996) the Associate Secretary in charge of the meeting with staff assistance from the Society office in Providence. Eastern Section Some Special Sessions arise from an invitation to Raymond G. Ayoub, Associate Secretary a proposed organizer issued through the Associate (Term expires December 31, 1982) Secretary. Others are spontaneously proposed by Department of Mathematics interested organizers or participants. Such proposals 303 McAllister Building are welcomed by the Associate Secretaries. Pennsylvania State University The number of Special Sessions at a Summer or University Park, PA 16802 Annual Meeting is limited to twelve. Proposals, (Telephone 814-865-3611) invited or offered, which are received at least W. Wistar Comfort nine months prior to the meeting are screened for Associate Secretary Designate suitability of the topic and of the proposed list Department of Mathematics of speakers, and for possible overlap or conflict Wesleyan University with other proposals (specific deadlines for requesting Middletown, CT 06457 approval for Special Sessions at national meetings are (Telephone 203-347-9411) the numerical limitation given above). If necessary, Southeastern Section is enforced. Frank T. Birtel, Associate Secretary Proposals for Special Sessions should be submitted Department of Mathematics directly to the Associate Secretary in charge of the Tulane University meeting (at the address given in the accommpanying New Orleans, LA 70118 box). If such proposals are sent to the Providence (Telephone 504-865-5646) to anyone office, addressed to the Notices, or directed As a general rule, members who anticipate they will have other than the Associate Secretary, organizing Special Sessions at AMS meetings are before the to be forwarded and may not be received advised to seek approval at least nine months quota is filled. prior to the scheduled date of the meeting. No In accordance with an action of the Executive Special Sessions can be approved too late to provide Committee of the Council, no Special Session may adequate advance notice to members who wish to be arranged so late that it may not be announced in participate. the Notice$ early enough to allow any member of the 464 section. The limitation on the number of sessions is received in Providence prior to the special early depends on the space and time available. The same deadline, announced above and in the announcements restriction as for national meetings applies to the of the meeting at which the Special Session has been deadline for announcing Special Sessions at sectional scheduled. meetings: no Special Session may be approved too No person is entitled to present more than one late for its announcement to appear in time to paper in the Special Sessions at any one meeting. allow a reasonable interval for members to prepare Abstracts of papers submitted for consideration for and submit their abstracts prior to the special early presentation at a Special Session must be received deadline set for consideration of papers for Special by the Providence office (Editorial Department, Sessions. American Mathematical Society, Post Office Box 6248, Providence, RI 02940) by the special deadline Information for Speakers for Special Sessions, which is usually three weeks earlier than the deadline for contributed papers for A great many of the papers presented in Special the same meeting. The Council has decreed that no Sessions at meetings of the Society are invited paper, whether invited or contributed, may be listed papers, but any member of the Society who wishes in the program of a meeting of the Society unless an to do so may submit an abstract for consideration abstract of the paper has been received in Providence for presentation in a Special Session, provided it prior to the deadline. PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS, HELSINKI 1978* edited by 0/li Lehto The Proceedings of the International Congress of A. N. Shiryaev, Absolute continuity a11d singularity Mathematicians held in Helsinki, August 15-23, 1978, of probability measures in functional spaces are in two volumes. Volume 1 contains an account of A. Weil, History of mathematics: why and how the Congress, the list of members, presentations of S.-T. Yau, The role of partial differential equations the works of the Fields medallists, the plenary one in differential geometry. hour addresses, and the invited addresses in sections In addition there were 120 invited forty-five 1-5. Volume 2 contains the invited addresses in sec minute addresses divided into nineteen sections. The tions 6-19. A complete index is included in both sections follow: volumes. 1. Mathematical logic and foundations of mathematics On the decision of the Fields Medals Committee, 2. Algebra the works of the Fields medallists were presented as 3. Number theory follows: 4. Geometry 5. Topology N. M. Katz: The work of Pierre Deligne 6. Algebraic geometry L. Carleson: The work of Charles Fefferman 7. Lie groups, algebraic groups, automorphic functions j. Tits: The work of Gregori Aleksandrovitch Margulis 8. Real and functional analysis I. M. james: The work of Daniel Quillen 9. Complex analysis The invited one-hour plenary addresses included 10. Operator algebras and group representations follow: 11. Probability and mathematical statistics L. V. Ahlfors, Quasiconformal mappings, Teichmi.i/ler 12. Partial differential equations spaces, and Kleinian groups 13. Ordinary differential equations and dynamical A. P. Calderon, Commutators, singular integrals on systems Lipschitz curves and applications 14. Control theory and optimization problems A. Cannes, von Neumann algebras 15. Mathematical physics and mechanics R. D. Edwards, The topology of manifolds and cell 16. Numerical analysis like maps 17. Discrete mathematics and mathematical aspects D. Goren stein, The classification of finite simple of computer science groups 18. Mathematics in the social and biological sciences M. Kashiwara, Micro-local analysis 19. History and Education. N. N. Krasovskii, Control under incomplete informa Part I, 506 pages; Part II, 516 pages (hard cover) tion and differential games Price $70.00 for 2 volumes. R. P. Langlands, L-functions and automorphic I'SBN 951-41-0352-1 representations Publication date: March 1980 ju. I. Manin, Modular forms and number theory To order, please specify PICMI78 N S. P. Novikov, Linear operators and integrable Hamiltonian systems *These proceedings were published for the 1978 Interna The complex geometry of the natural R. Penrose, tional Congress of Mathematicians with the cooperation of world Academia Scientiarum Fennica and are being distributed by W. Schmid, Representations of semisimple Lie groups the AMS. Prepayment is required for all AMS publications. Order from AMS, P.O. Box 1571, Annex Station, Providence, Rl 02901, or call toll free 800-556-7774 to charge with Visa or MasterCard. 465 New AMS Publications AMS Book Orders-Toll Free Number For Users of VISA, MASTERCARD. Individuals in the continental United States may order books published by the Society by calling 800-556-7774 and using a charge card. The number will be attended from 8:00a.m. to 4:15 p.m. Eastern Time, Monday through Friday except on holidays. When using a charge card for mail orders, please be sure to specify whether VISA or MasterCard and include the account number. expiration date, and signature. REFERENCE WORK Index of Subject Classification Words (Chapter 5) This keyword in context index (KWIC) was con by taking all the mathematically significant User's Guide structed MATH FILE words from the headings and subheadings of the Three chapters of the user's guide announced in 1980 Mathematics Subject Classification, as displayed the Notices, April 1982, page 300, will be sold in Chapter 4, and arranging them alphabetically. Next separately. The entire guide, approximately 350 to each word is the classification in which the word pages in loose-leaf format, is $50 list price and· $38 occurs, followed by the name of the heading. for members. (To order the complete guide, please MATHFILE User's Guide, Chapter 5 specify USERSGUIDE.) 1982, 82 pp., 3-hole punched, unbound List price $15, member price $15 Abbreviations of Journal Names (Chapter 3) To order, please specify SUBJWORDIND/N This list gives the form of references· used in Mathematical Reviews. The abbreviation is followed by the complete title, the place of publication (and REFERENCE WORK other pertinent information when required for clarity), the frequency of publication, the name and World Directory address of the publisher or distributor, and the date of Mathematicians 1982 of the first journal issue reviewed by Mathematical of this directory, which is Reviews (if 1976 or later). The International Stan The seventh edition supplied by the National Com dard Serial Number and CODEN are given when based on material Mathematics, is published by the Bureau available, followed by the Library of Congress title mittees for of Mathematicians of the for the journal. This chapter contains much more of the World Directory Mathematical Union. Some of the information than the journal abbreviation list sold in International new entries; in the catalogue of AMS publications. national committees failed to offer these cases the entries from the sixth edition have 3 MATHFILE User's Guide, Chapter The seventh edition contains a list of 1982, 91 pp., 3-hole punched, unbound been used. List price $12, member price $12 important mathematical organizations, an alphabeti To order, please specify ABBREXPAN/N cal list of mathematicians with addresses, and a geographical list. The AMS is distributing the Mathematics Classification Schemes (Chapter 4) directory. The classification system used in Mathematical Reviews has evolved over time. The material in World Directory of Mathematicians 1982 MATHFILE 1973-1979 was indexed using a modi Approximately 550 pages (soft cover) fication of the AMS (MOS) Subject Classification List price $23, institutional member $21, MATHFILE individual member $21 Scheme devised in 1970. Entries in Publication date: August 1982 1980- are indexed using the 1980 Mathematics Sub To order, please specify WRLDIR/7N ject Classification, a further modification of the earlier system. This same book is available from other distributors: Each column in the first portion of this chapter Prepaid orders from nonmembers in Japan should contains classification codes from the 1980 system, be sent to the Bureau of the WDM, International codes used in the cumulative index covering 1973 Mathematical Union, Department of Mathematics, 606, to 1979, verbal headings, and corresponding Library Faculty of Science, Kyoto University, Kyoto of Congress classification numbers. Japan: the price is ¥3,500. Shinjuku The last few pages of the chapter show the Kinokuniya Book-store Co., Ltd., 160-91, Japan, Library of Congress classification numbers relevant 3-chome 17-7, Shinjuku-ku, Tokyo or not) for ¥5,000. to mathematics, together with the corresponding will accept orders (prepaid Co., P. 0. Box 103, codes from the 1980 Mathematics Subject Classifica North-Holland Publishing accept tion. 1000 AC Amsterdam, The Netherlands, will orders (prepaid or not) for U. S. $32.50. 4 MATHFILE User's Guide, Chapter seventh edition, in soft-cover. 1982, 47 pp., 3-hole punched, unbound There is only one List price $8, member price $8 Orders from any distributor are for exactly the same To order, please specify SUBJSEXPANIN book. 466 MEMOIRS OF THE AMS CONTENTS (ISSN 0065-9266) 1. Multipliers e-icp(~la (~) 2. An oscillating integral on R 3. An oscillating integral on Rn Embedding Coverings into Bundles 4. Fourier integral operators with Applications 5. Applications to strongly hyperbolic equations P. F. Duvall and L. S. Husch Bibliography 1980 Mathematics Subject Classifications. 42B20, 4 7G05 The problem of when a finite regular covering of Memoirs of the American Mathematical Society an n-dimensional closed piecewise linear manifold M Memoir Number 264, viii + 60 pages (soft cover) can be homotoped to an embedding in an n-plane List price $4, institutional member $3, bundle over M is solved. As a corollary, a generaliza· individual member $2 tion of the Borsuk-Uiam Theorem is obtained. These ISBN 0-8218-2264-0; LC 82-8754 Publication date: july 1982 results are then applied to the problem of embedding To order, please specify MEM0/264N up to shape in 2n-dimensional Euclidean space con tinua which are the inverse limits of n-dimensional manifolds. An example of such a continuum which The Multiple Stochastic Integral does not embed up to shape in 2n-space is given. David Douglas Engel CONTENTS I. Embedding finite covers into bundles: Remov Norbert Wiener laid down the foundation of the ing singularities of maps, Singularities of maps into theory of stochastic integration in his classic papers bundles, Embedding covering spaces into bundles, on homogeneous chaos and discrete chaos (which The obstruction. are now called Brownian motion and the Poisson II. Embedding manifold-like continua up to shape: process, respectively). Modern researchers find these Applications of Part I to embedding continua up to papers difficult to read and even more difficult to shape, An n-manifold-like compactum which does relate to today's viewpoint of stochastic integration. not embed up to shape in R2n, Singularities of cov The Multiple Stochastic Integral is an attempt to erings of immersions, Embedding up to shape mani show the beauty and simplicity of the original the fold-like continua whose factors need not embed ories and how they provide a geometric interpreta Embedding double coverings, An example, n-ma~i tion of many of the well-known formulas involving fold-like continua which do not embed up to shape stochastic integrals. This is accomplished by em in R2n. ploying certain Banach space valued measures on 1980 Mathematics Subject Classifications. 57R40 57035 Rn which yield the desired stochastic integrals 57N35 ' ' when evaluated on appropriate subsets. Memoirs of the American Mathematical Society 1980 Mathematics Subject Classifications. 60H05; 28A35, Memoir Number 263, iv + 55 pages (soft cover) 28B05, 28C20 List price $4, institutional member $3, Memoirs of the American Mathematical Society individual member $2 Memoir Number 265, vi + 85 pages (soft cover) ISBN 0-8218-2263-2; LC 82-8742 List price $5, institutional member $4, Publication date: july 1982 individual member $3 To order, please specify MEM0/263N ISBN 0-8218-2265-9; LC 82-8740 Publication date: july 1982 To order, please specify MEM0/265N LP Roundedness of A Method of Fourier Integral Operators Generalized Characteristics R. Michael Beals Marc A. Berger and Alan D. Sloan Classical zero order pseudodifferential operators The classical and Brownian methods of charac are bounded on LP for 1 < p < co, but for even the teristics are generalized to analyze evolution equa simplest Fourier integral operators (arising in the tions of arbitrary order. Calculi of higher orders, solution of the wave equation) this property may analogous to first order classical calculus and second fail for p =/= 2. In this Memoir, the action of lower order Ito calculus, are constructed. Solutions of order Fourier integral operators on LP spaces is con differential equations in these calculi become char sidered. Under certain assumptions on the matrix of acteristic propagators of higher order partial differ second derivatives of the phase function, it is shown ential equations. The solutions of these partial that such operators are bounded, with the range of differential equations are then represented as aver P depending on the order of the operator. That this ages of random samples of initial data based on range is essentially best possible is seen in the case these characteristic flows, in a general sense. of the wave equation. Applications are made to CONTENTS solutions of strictly hyperbolic partial differential I. Spaces of Generalized Characteristics: Poly equations. nomial Initial Data, Analytic Initial Data. 467 II. Analysis of Evolution Equations: Semigroup DISCONTINUOUS GROUPS AND Methods, Characteristic Methods, Fourier Trans AUTOMORPHIC FUNCTIONS forms, Distribution Solutions, Fundamental Solu by}. Lehner tions. Mathematical Surveys, Number 8 Ill. Examples. 425 pages {ISBN 0·8218·1508·3) IV. Bibliography 1964; reprinted with corrections 1982 {soft cover) 1980 Mathematics Subject Classifications. 35C99, 35E15, List price $30.00, institutional member $22.50, 60H05 individual member $15.00 To order, please specify SURV/8N Memoirs of the American Mathematical Society Memoir Number 266, vi + 38 pages (soft cover) List price $4, institutional member $3, individual member $2 LINEAR APPROXIMATION ISBN 0·8218·2266·7; LC 82·8741 by Arthur Sard Publication date: July 1982 Mathematical Surveys, Number 9 To order, please specify MEM0/266N 544 pages (ISBN 0·8218·1509-1) 1963; reprinted with corrections 1982 (soft cover) List price $35.60, institutional member $26.70, individual member $17.80 SOME RECENT REPRINTS To order, please specify SURV/9 NORBERT WIENER, 1894-1964 THE TOPOLOGY OF THE CALCULUS edited by Felix Browder, E. H. Spanier, and OF VARIATIONS IN THE LARGE Murray Gerstenhaber by L. A. Ljusternik A memorial to Norbert Wiener, published as translated by }. M. Danskin Bulletin of the AMS, Volume 72, Number 1, Part II Translations of Mathematical Monographs 1966; reprinted 1982, 145 pages (soft cover) Volume 16, 96 pages (ISBN 0·8218·1566·0) List price $8.40, institutional member $6.30, 1967; reprinted 1982 (soft cover) individual member $4.20 List price $22.00, institutional member $16.50, To order, please specify NW/N individual member $11.00 To order, please specify MMON0/16N NATURALLY REDUCTIVE METRICS GEOMETRIC THEORY OF FUNCTIONS AND EINSTEIN METRICS OF A COMPLEX VARIABLE by G. M. Go/uzin ON COMPACT LIE GROUPS translated by Scripta Technica by j. E. D'Atrl and W. Ziller Translations of Mathematical Monographs Memoirs of the AMS, Number 215 Volume 26, 676 pages (ISBN 0·8218-1576-8) 72 pages (ISBN 0·8218-2215·2) 1969; reprinted 1982 (soft volume) 1979; reprinted 1982 (soft cover) List price $62.00, institutional member $46.50, List price $8.00, institutional member $6.00, individual member $31.00 individual member $4.00 To order, please specify MMON0/26N To order, please specify MEM0/215N COMPACT LIE GROUPS AND THEIR REPRESENTATIONS ALGEBRAIC SURFACES by D. P. Zelobenko edited by /. R. Safarevil! Translations of Mathematical Monographs Proceedings of the Steklov Institute of Mathematics Volume 40, 448 pages (ISBN 0-8218-1590-3) Number 75, 281 pages (ISBN 0-8218-1875-9) 1973; reprinted 1982 (soft cover) 1967; reprinted 1982 (soft cover) List price $38.80, institutional member $29.10, List price $52.00, institutional member $39.00, individual member $19.20 individual member $26.00 To order, please specify MMON0/40N To order, please specify STEKL0/75N THE THEORY OF VALUATIONS LECTURES ON HILBERT CUBE MANIFOLDS by 0. F. G. Schilling Mathematical Surveys, Number 4 by T. A. Chapman 253 pages (ISBN 0-8218-1504..()) CBMS Regional Conference Series in Mathematics 1950; reprinted 1982 (soft cover) Number 28, 131 pages (ISBN 0-8218-1678-0) List price $30.40, institutional member $22.80, 1976; reprinted 1982 (soft cover) individual member $15.20 List price $11.20, individual $5.60 To order, please specify SURV/4N To order, please specify CBMS/28N Prepayment is required for all AMS publications. Order from AMS, P.O. Box 1571, Annex Station, Providence, Rl 02901, or call toll free 800-556-7774 to charge with Visa or MasterCard. 468 Special Meetings TIDS SECTION contains announcements of meetings of interest to some segment of the mathematical public, including ad hoc, local, or regional meetings, and meetings or symposia devoted to specialized topics, as well as announcements of regularly scheduled meetings of national or international mathematical organizations. (Information on meetings of the Society, and on meetings sponsored by the Society, will be found inside the front cover.) AN ANNOUNCEMENT will be published in the Notices if it contains a call for papers, and specifies the place, date, subject (when applicable), and the speakers; a second full announcement will be published only if there are changes or necessary additional information. Once an announcement has appeared, the event will be briefly noted in each issue until it has been held and a reference will be given in parentheses to the month, year and page of the issue in which the complete information appeared. IN GENERAL, announcements of meetings held in North America carry only date, title of meeting, place of meeting, names of speakers (or sometimes a general statement on the program), deadline dates for abstracts or contributed papers, and source of further information. Meetings held outside the North American area may carry more detailed information. All communications on special meetings should be sent to the Editor of the Notices, care of the American Mathematical Society in Providence. DEADLINES are listed on the inside front cover of each issue. In order to allow participants to arrange their travel plans, organizers of meetings are urged to submit information for these listings early enough to allow them to appear in more than one issue of the Notices prior to the meeting in question. To achieve this, listings should be received in Providence SIX MONTHS prior to the scheduled date of the meeting. 1981-1982. Distinguished Lecture Series in Applied 2-6. Geometric Topology Conference, Brighton, Great Mathematiea, Chicago, illinois. (February 1982, p. 196) Britain. Division, University 1982-1983. Special Year in Lie Group Representations, Information: R. A. Fenn, Mathematics of Sussex, Brighton, BN1 9QH, England. University of Maryland, College Park, Maryland. (June 1982, p. 373) 2-6. NSF-CBMS Regional Conference on Closed Geodesic• on Riemannian Manifolda, Center for Applied Mathe January 3-0ctober 2, 1982. Mathematisehes Fonehungs matics, University of Florida, Gainesville, Florida. (June institut Oberwolfaeh, (Weekly Conferences), Federal 1982, p. 374) Republic of Germany. (January 1982, p. 74) 2-6. International Seminar on Functional Analyais, September 1, 1982-August 31, 1983. Statistical and Holomorpby and Approximation Theory, State University Continuum Approaches to Phase Transition, Institute of Campinas, Brazil. (November 1981, p. 644; April 1982, for Mathematics and its Applications, University of p. 296; June 1982, p. 375) Minnesota, Minneapolis, Minnesota. (January 1982, p. 74) 2-6. Third Conference on Topology of Manifolds and Homotopy Theory, Rio de Janeiro, Brazil. (February JULY 1982 1982, p. 200) 3-10. Meeting on Binary System• and Ring Theoretic 25-August 7. Joint NATO/London Mathematical Society Methoda in Universal Algebra, Czechoslovakia. (January Advanced Study Institute on Systems of Nonlinear 1982, p. 77) Partial Dift'erential Equations, Oxford, United Kingdom. (November 1981, p. 644) 8-13. Firat International Conference on Teaching of Statistics, Sheffield, England. (June 1982, p. 375) 26-30. Applied Programming Languages 82 Conference, 8-13. Tenth IMACS World Congresa on Systems Simulation Heidelberg, Federal Republic of Germany. and Scientific Computation, Montreal, Canada. (June Information: Wolfgang H. Janko, Program Chairman APL 1981, p. 348; April 1982, p. 296) 82, Universitiit Karlsruhe (T.H.), Institut fiir Ange wandte Betriebswirtschaftslehre-Unternehmensfuhrung, 8-13. Firat International Conference on Teaching of Am Zirkel 2 (Rechenzentrum), l.OG, Postfach 63 80, Statiatics, Sheffield, England. (January 1982, p. 77) 0..7500 Karlsruhe 1, Federal Republic of Germany. 9-10. International Conference on Philosophy and Foun dations of Mathematics, Warsaw, Poland. (February 1982, 26-August 6. NATO Advanced Study Institute on p. 200) Computational Aspects of Complex Analysis, Braunlage, Federal Republic of Germany. (June 1982, p. 374) 16-17. Workahop on Spectral Methods for Partial Dift'erential Equations, Hampton, Virginia. 26-August 13. International Seminar on Data Analysis, Program: The program includes invited lectures on Universite de Montreal, Montreal, Canada. (February theory and applications of spectral methods with ample 1982, p. 200) opportunity for discussions. Attendance is limited to 40. Information: Robert G. Voight, !CASE, Mail Stop 132C, AUGUST 1982 NASA Langley Research Center, Hampton, Virginia 23665, (804) 827-2513. August 1982. International Conference on Finite Element 16-18. Recent Advances in Analytical Methodology in the Methoda, Beijing, China. (January 1982, p. 77) Life Sciences, Uniformed Services University of the Health 1-7. Conference on Algebraic Topology, Aarhus, Denmark. Sciences, Bethesda, Maryland. Information: I. Madsen, R. Oliver, Matematisk Institut Topics: General advances and new concepts in the Universitetsparken, Ny Munkegade, DK-8000 Aarhus, science of measurement; advances in mass spectrometry; Denmark. advances in nuclear magnetic resonance; advances in chromatography; advances in imaging techniques; and 1-7. Conference on Theory of Radicals, Eger, Hungary. advances in analytical immunochemistry. Chairman: R. Wiegandt. Information: Constantine Zervos, Office of Health Affairs Information: Janos Bolyai Mathematical Society, Anker (HFY-31), Food and Drug Administration, 5600 Fishers Koz 1-3. I. 111., H-1061 Budapest, Hungary. Lane, Rockville, Maryland 20857. 469 16-19. Institute of Mathematical Statiaties Annual Meet 23-27. Eleventh International Sympoaium on Mathemati illg, Cincinnati, Ohio. (February 1982, p. 200) cal Programming, University of Bonn, Bonn, Federal Republic of Germany. (February 1982, p. 200) 16-20. Firat International Conference for "Combinatoric• on Words", University of Waterloo, Waterloo, Ontario, 23-28. Eleventh International Colloquium on Group Canada. Theoretical Methods in Phylliea, Istanbul, Turkey. Inflited Speakers: J. Berstel (France), R. V. Book Information: Eleventh International Colloquium on Group (U.S.A.), G. Lallement (U.S.A.), D. Perrin (France), Theoretical Methods in Physics, P .K. 2, Bebek, Istanbul, M. P. Schutzenberger (France), R. Shelton (U.S.A.), C. Turkey. Stewart (Canada). 23-28. Logie Colloquium 82, Mathematics Institute, Program: The topic of this conference has only University of Florence, Italy. (June 1982, p. 375) recently emerged as an independent discipline. It has, nevertheless, played a deep role in such diverse areas 23-28. Equadift' 82, Wiirzburg, Federal Republic of as logic (Thue systems), topological dynamics (the work Germany. (January 1982, p. 77) of Morse and Hedlund), combinatorial group theory 29-September 4. Colloquium on Matroid Theory, Szeged, (the Burnside problem), combinatoric& (enumeration), Hungary. number theory (van der Waerden's theorem), and Chairman: L. Lovasz. computer science (automata and formal languages). Information: Janos Bolyai Mathematical Society, Budapest Some emphasis will be given to the work of Axel Thue Anker Koz 1-3. I. 111., H-1061, Budapest, Hungary. on infinite words and the algebraic theory of coding initiated by M.P. Sehutzenberger. 30-September 2. International Colloquium on Geometry Cali for Papers: Contributed papers in either English Teachillg, Mons, Belgium. (June 1982, p. 375) or French will be accepted for 30-minute talks. Only 30-September 3. Fifth Sympoaium on Computational papers presented at the conference will be considered for Statistics, Toulouse, France. the proceedings, which will be refereed. Abstracts for Information: COMPSTAT 82, c/o Lab. Stat. et Prob., contributed papers should be submitted before August ERA/CNRS 591, 118 route de Narbonne, 31062 1, but late papers will be considered. Final manuscripts Toulouse, Cedex, France. should be submitted by January 1, 1983. 30-September 4. Workahop on the Numerical Treatment Information: L. J. Cummings, Faculty of Mathematics, of lnvel'le Problema in Dift'erential and Integral Equations, University of Waterloo, Waterloo, Ontario, Canada N2L Heidelberg, Federal Republic of Germany. 3Gl. Topics: Parameter identification in ordinary and parabolic 19-21. The Seventh Sympoaium on Operation• Reaearch dift'erential equations, inverse Sturm-Liouville problems, of the Society for Mathematics, Economies and Operation• regularization techniques for Fredholm operator equa Reaeareh, St. Gallen, Switzerland. tions, and applications in such areas as molecular biol Information: Institut fiir Unternehmensforschung ogy, tomography, geophysics, chemistry and electrocar (Operations Research) an der Hochschule St. Gallen, diology. Bodanstrasse 6, CH-9000 St. Gallen, Switzerland. Information: Peter Deufl.hard, Institut fiir Angewandte 19--21. Third American Time Series Meeting, Cincinnati, Mathematik, University of Heidelberg, 1m Neuenheimer Ohio. (February 1982, p. 200) Feld 293, D-6900 Heidelberg, Federal Republic of Germany. 19--27. Eighth Conference on Analytic Functions, 31-September 3. Conference on Recent Developments in Blazejewko, Poland. (August 1981, p. 438) Mathematical Economies, University of Essex, Great 22-25. Sympoaium on Real Analyaia, Hungary. Britain. Chairman: G. Petruska. Purpose: The purpose of the conference is to examine Information: Janos Bolyai Mathematical Society, Budapest recent developments in mathematical economies and in Anker Koz 1-3. I. 111., H-1061, Budapest, Hungary. the application of mathematical techniques in economies, and to exchange ideas about directions which may prove 22-September 2. Summer School on Mierolocal Analyais, fruitful for further research. Sofia, Bulgaria. Information: G. Heal, Department of Economics, Information: Bulgarian Academy of Sciences, Institute of University of Essex, Wivenhoe Park, Colchester C04 Mathematics, P.O. Box 373, BG-1090 Sofia, Bulgaria. 3SQ, Great Britain. 22-September 8. XIDme Ecole d'Ete de Caleul des Probabilitea, Saint-Flour, Cantal, France. (April 1982, SEPTEMBER 1982 p. 296) 23-27. Seventh International Conference on Experimental 1-3. European Conference on Integrated Interactive Stresa Analyaia, Haifa, Israel. Computing Syatema, Stresa, Italy. Information: A. A. Betser, Department of Aerospace Information: Pierearlo Degand or Maria Simi, Conf. Engineerillg, Technion, Israel Institute of Technology, ECICS 82, 1st. Ac. dell'Inform., 40 eorso Italia, 1-56100 Haifa, Israel. Pisa, Italy. 23-27. Eleventh International Sympoaium on Mathemati 1-3. Sympoaium on Informatics and Control for Develop cal Programming, University of Bonn, Bonn, Federal ment, Tunis, Tunisia. (June 1982, p. 375) Republic of Germany. 1-3. Sympoaium on Meaaurement and Control, Tunis, Information: Math. Progr. Secretariat, c/o Institut fiir Tunisia. (June 1982, p. 375) Operations Research, Nassestrasse 2, D-5300 Bonn 1, 1-10. International Institute on Stoehastiea and Optimi•a• Federal Republic of Germany. tion, University of Milan, Gargnano, Italy. (April 1982, 23-27. Sixth Auatralian Statistical Conference, University p. 296) of Melbourne, Victoria, Australia. (June 1982, p. 375) 5-9. European Econometric Congress, Dublin, Ireland. 23-27. Third Cseehoalovak Sympoaium on Graph Theory, (June 1982, p. 375) Prague, Czechoslovakia. (June 1982, p. 375) 6-18. September School on Super-Gravity and Supi!I' 23-27. Tenth Auatralian Conference on Combinatorial Symmetey, Trieste, Italy. Mathematiea, University of Adelaide, Adelaide, South Information: International Centre for Theoretical Physics, Australia. (April1982, p. 296) P.O. Box 586, 1-34100 Trieste, Italy. 470 13-16. Sixieme Couference Intemationale sur le Genie 18--29. Modeling and Analysis in Biomedicine, Trapani, Logiciel, Tokyo, Japan. Italy. Information: J. C. Rabit, Agence Inform., Tour Fiat, Information: C. Nicolin, Temple University Health Science Cedex 16, 92084 Paris La Defense, France. Center, Philadelphia, Pennsylvania 19140. 13--17. Fifteenth European Meeting of Statisticians, 20--29. Regional Training Course on the Teaching of Palermo, Italy. (June 1982, p. 375) Undergraduate Mathematics, Chiangmai, Thailand. (June 15-17. IFAC Symposium on Computer Aided Design of 1982, p. 376) Multivariable Tedmological Systems, Purdue University, 25-27. Sparse Matrix Symposium, Fairfield Glade, West Lafayette, Indiana. (April 1982, p. 296) Tennessee. (February 1982, p. 200) 20--24. DMV-Tagung 1982, Bayreuth, Federal Republic of 26--28. IEEE Computer Society International Symposium Germany. on Medical Imaging and Image Interpretation, Berlin, Information: Deutsche Mathematiker Vereinigung, Ge Federal Republic of Germany. schii.ftsstelle: Albertstr. 24, ]).. 7800 Freiburg, Federal Program: Conference and exhibition will emphasize Republic of Germany. innovative research and applications in medical imaging 23--25. MEDCOMP 82: IEEE Computer Society science, image interpretation, computer image analysis Intemational Couference on Medical Computer and computer graphics. Science/Computational Medicine, Philadelphia, Pennsyl Information: Judith Prewitt, General Chairman, National vania. Institutes of Health, Division of Computer Research Program: Conference and exhibition will emphasize and Tedmology, Building 12A, Room 2053, Bethesda, advanced research and development, innovative applica Maryland 20205, (301) 496-1247. tions and critical issues in medical computer science and 27-29. Nineteenth Annual Meeting of the Society of computational medicine. Engineering Science, Ralo, Missouri. Information: Judith Prewitt, General Chairman, National Information: R. C. Batra, Department of Engineering Institutes of Health, Division of Computer Research Mechanics, University of Missouri-Rolla, Rolla, Missouri and Technology, Building 12A, Room 2053, Bethesda, 65401, (314) 341-4589. Maryland 20205, (301) 496-1247. 27-30. Symposium on Inequalities in Statistics and 27. Function Theory Meeting, Open University, Milton Probability, University of Nebraska-Lincoln, Lincoln, Keynes, England. Nebraska. Organizing Committee: D. A. Brannan, J. G. Clunie, W. Inequalities in multivariate analysis, inequalities K. Hayman. Topics: in statistics, inequalities in probability, inequalities via will be both invited talks and shorter Program: There association and majorization, inequalities in reliability, contributed talks. F-K-G and related inequalities, inequalities in operations Information: D. A. Brannan or J. G. Clunie, FT /82, research. Faculty of Mathematics, The Open University, Walton Information: Y. L. Tong, Department of Mathematics Hall, Milton Keynes, MK7 6AA, United Kingdom. and Statistics, University of Nebraska-Lincoln, Lincoln, Nebraska 68588-0323. OCTOBER 1982 October-November 1982. Workshop on Teaching of NOVEMBER 1982 Graduate and Undergraduate Mathematies, Chiangmai, Thailand. (January 1982, p. 77) 2--4. Second Intemational Conference on Reactive Process ing of Polymers, Pittsburgh Hilton Hotel, Pittsburgh, 1-2. Tenth Annual Mathematics and Statistics Couference, Pennsylvania. University, Oxford, Ohio. (April 1982, p. 296) Miami Program: The program will emphasize the processing 4--15. Mathematieal Models in Epidemiology, University aspects of both continuous and cyclic operations, such of Khartoum, Khartoum, Sudan. as reactive extrusion, reactive fiber spinning, processing Program: This lecture series is part of a one-year of composites, formation of polymeric foams, and the Symposium on Mathematics and Development. The various reactive molding operations. Both fundamental principal lecturer is K. Dietz of the Institute for Medical and engineering aspects will be discussed. Biometry at the University of Tiibingen, Germany. Information: J. T. Lindt, International Conference Information: M. E. A. El Tom, School of Mathematical on Reactive Processing of Polymers, Department of Sciences, University of Khartoum, Khartoum, Sudan. Metallurgical and Materials Engineering, 848 Benedum 7--8. Firat ACM Couference on Security, Audit and Control Engineering Hall, University of Pittsburgh, Pittsburgh, in Ofllce Systems, St. Louis, Missouri. Pennsylvania 15261. Information: David R. Callaghan, Babson College, Babson 2--4. SIAM Couference on Numerieal Simulation of VLSI Park (Wellesley), Massachusetts 02157, (617) 235-1200, Devices, Boston, Massachusetts. (April1982, p. 296) ext. 467. 3--5. Twenty-third Annual IEEE Symposium on Founda 13--15. 1982 Department of Energy Statistical Symposium, tions of Computer Science, Chicago, Illinois. (February Idaho Falls, Idaho. 1982, p. 201) Program: The symposium will cover statistical topics 6--16. Relational Representations of Biologieal and En relevant to energy problems. Workshops will be held on vironmental Systems, University of Khartoum, Khartoum, human factors and on multivariate analysis. Sudan. Information: Corwin L. Atwood, EG & G Idaho, Inc., P.O. This lecture series is part of a one-year Box 1625, Idaho Falls, Idaho 83415, (208) 526-9167. Program: Symposium on Mathematics and Development. The 17-21. Intemational Couference on Mathematics, Univer principal lecturer is Carlos A. Leguizamon of the Atomic sity of Riyadh, Riyadh, Saudi Arabia. (February 1982, Energy Commission and the University of Buenos Aires, p. 200) Buenos Aires, Argentina. 18--20. American Society for Cyberneties Annual Meeting, Information: M. E. A. El Tom, School of Mathematical Columbus, Ohio. (June 1982, p. 375) Sciences, University of Khartoum, Khartoum, Sudan. 18-20. Symposium on Waves on Fluid Interfaces, Mathe 11-14. American Mathematieal Association of Two-Year matics Research Center, University of Wisconsin, Madison, Colleges Annual Convention, Las Vegas, Nevada. (June Wisconsin. (June 1982, p. 376) · 1982, p. 376) 471 16-December 10. Autumn Course on Mathematieal Ecology, International Centre for Theoretical Physics, Trieste, Italy. (April 1982, p. 297) PROCEEDINGS OF SYMPOSIA 17-19. Congres ".Arehiteeture des Machines et Systemes Informatiques", Lille, France. IN APPLIED MATHEMATICS Information: AFCET Informatique 1982, 156 boul. Pereire, 75017 Paris, France. GAME THEORY AND ITS APPLICATIONS 21-30. Deterministic Models in Population Biology, edited by William F. Lucas University of Khartoum, Khartoum, Sudan. This volume contains the lecture notes prepared Program: This lecture series is part of a one-year on Game Theory Symposium on Mathematics and Development. The by the speakers in the short course principal lecturer is P. Waltman of the University of and its Applications given in Biloxi, Mississippi in Iowa. 1979. Information: M. E. A. El Tom, School of Mathematical Game theory has been a topic of broad interest Sciences,. University of Khartoum, Khartoum, Sudan. as a purely theoretical subject which has relation ships to many other mathematical areas, and also as DECEMBER 1982 a subject widely used in applications over a large variety of problem areas. It is concerned with mathe 28-January 4. Conference on Abelian Group Theory, matical models for situations involving conflict and/ University of Hawaii at Manoa, Honolulu, Hawaii. or cooperation. These arise in a fundamental way Program: General interest lectures by Hyman Bass and throughout the behavioral and decision sciences. Carl Michael Ringel. Game theory has become a basic modeling technique Speakers: Dave Arnold, Paul Eklof, Laszlo Fuchs, Rudiger in much of modern economic theory, political sci Gobel, Alfred Hales, Lee Lady, Fred Richman, Elbert ence, sociology, and operations research, and it has Walker and others. frequently been applied to many other fields. It is a Information: Adolf Mader, Department of Mathematics, subject highly suitable for joint research of an inter 2565 The Mall, -Honolulu, Hawaii University of Hawaii, disciplinary nature. 96822. This volume is concerned mostly with the n-per son theory (n ;;;. 3}, although chapter 6 also describes JANUARY 1983 several basic two-person models. The first five chap ters deal for the most part with the multiperson co 8-9. Association for Symbolic Logie Annual Meeting, function (coali Denver, Colorado. (June 1982, p. 376) operative games in the characteristic tional} form. The normal (strategic} form and the extensive (tree} form of a noncooperative game are AUGUST 1984 stressed in chapter 6, although some basic definitions August 1984. Fifth International Congress on Mathematics for the normal form do appear in an earlier chapter. Education, University of Adelaide, Australia. (June 1982, Selected applications of the theory which are covered pp. 331, 376) here in some detail include economic market games, measuring power in political systems, equitable allo cation of costs, and auctions. Many of the important recent uses of game theory have involved the n-per son cooperative models. These lectures were presented to an audience of Reciprocity Agreements mature mathematicians. Nevertheless, this volume could also serve as a textbook for a general course in game theory at the upper division or graduate The listings below update the report published in levels. the June 1982 Notices, pages 335-339. William F. Lucas, The multiperson cooperative games William F. Lucas, Applications of cooperative games iSLENZKA STAERDFRAEDAFELAGID to equitable allocation Apply to: fslenzka Staerdfraedafelagid, Raunvfsin Louis J. Billera, Economic market games L. 5. Shapley, Valuation of games dastofnun Haskolans, Dunhaga 3, Reykjavik, Iceland. L. S. Shapley, Measurement of power in political Dues: $10; payable to fslenzka Staerdfraedafelagid. systems Offieers: Ott6 J. Bjiirnsson (President), Jon Robert J. Weber, Noncooperative games Kjartan G. Magnusson Hafsteinn Jonsson (Treasurer), 1980 Mathematics Subject Classification: 900 (Secretary). Volume 24, viii + 128 pages Hard cover prices: List $18, institutional member $13.50, ISRAEL MATHEMATICAL UNION individual member $9 of Mathematics Soft cover prices: List $12, institutional member $12, Apply to: Ely Merzbach, Department all individuals $6 and Computer Science, Bar-IIan University, Ramat ISBN 0-8218·0025-6; LC 81-12914 Gan, Israel. Publication date: October 1981 To order, please specify PSAPMS/24N (soft cover) Dues: IS 40; $3 for overseas members; payable to PSAPM/24N (hard cover) Israel Mathematical Union. Prepayment is required for all AMS publications. Privileges: Newsletter; may attend and present Order from AMS, PO Box 1571, Annex Station, papers at meeting. Providence, Rl 02901, or call 800-556-7774 Officers: Shmuel Kantorovitz (Chairman), Ely to charge with VISA or MasterCard. Merzbach (Treasurer), Louis Rowen (Secretary). 472 Miscellaneous Personal Items Deaths Deane Arganbright of Whitworth College has Rachel B. Adams of Providence, Rhode Island been appointed Chairman of the Department of died on January 21, 1982, at the age of 87. She was Mathematics and Computer Science. a member of the Society for 61 years. Heinl Bauer of the Universitiit Erlangen-Niirnberg Salomon Bochner of Rice University and Professor has been elected a foreign member of the Royal Danish Emeritus of Princeton University died on May 2, Academy of Sciences and Letters in Copenhagen. 1982, at the age of 82. He was a member of the Anthony M. Gaglione of the U.S. Naval Academy Society for 48 years. He served as Vice President of has been appointed to an associate professorship at the Society in 1957 and 1958. that institution. Howard F. Febr, Professor Emeritus of Teachers Francis T. Hanniek of Mankato State University College, Columbia University, died on May 6, 1982 has been appointed to an associate professorship. at the age of 80. He was a member of the Society for 46 years. Frank Harary of the University of Michigan, Ann Arbor, has been appointed to the Ulam Chair at the Franklin Haimo of Washington University died on University of Colorado for the fall semester of 1982. June 3, 1982 at the age of 62. He was a member of the Society for 38 years. S. Thomas Parker of Kansas State University, retired as of June 1, 1982, with the title Professor Joseph Kampe De Feriet of the University of Emeritus. Lille, France died on April 6, 1982 at the age of 89. He was a member of the Society for 35 years. Ceeilia Welna of New Britain has been named interim dean of the University of Hartford's College A. J. Lobwater of Case Western Reserve University of Education and Allied Services. died on June 10, 1982 at the age of 59. See page 407. Wojbor A. Woycsynski of Cleveland State Irvine R. Pounder of York University, Ontario University has been appointed Chairman of the died on April 8, 1982 at the age of 91. He was a Department of Mathematics and Statistics at Case member of the Society for 67 years. Western Reserve University. Henry A. Robinson, Professor Emeritus of Agnes Scott College, died on January 7, 1981 at the age of 80. He was a member of the Society for 59 years. Marion E. Stark, retired Lewis Atterburg Stimson Professor of Mathematics at Wellesley College, died on April15, 1982 at the age of 87. She was a member of the Society for 57 years. TRANSLATIONS OF MATHEMATICAL MONOGRAPHS BOUNDARY VALUE PROBLEMS 4. Systems of elliptic pseudodifferential equations FOR ELLIPTIC in a halfspace PSEUDODI FFERENTIAL EQUATIONS 5. Pseudodifferential operators with variable symbols . by G. I. Eskin, translated by 5. F. Smith 6. Boundary value problems for elliptic pseudo The English edition differs from the Russian in differential operators in a bounded domain with that an Introduction and three new sections ( §§ 25- smooth boundary 27) have been added. Moreover, various corrections, 7. Applications improvements and remarks have been made by the author throughout the book, especially in Chapter 6. CONTENTS Volume 52, xii + 376 pages (hard cover) 1. Generalized functions and the Fourier transform List price $68.00, institutional member $51.00, individual member $34.00 2. Boundary value problems for an elliptic pseudo ISBN 0-8218-4503-9; LC 80-39789 differential operator in a halfspace Publication date: May 1981 3. Smoothness of solutions of pseudodifferential To order, please specify MMON0/52N equations Prepayment is required for all AMS publications. Order from AMS, P.O. Box 1571, Annex Station, Providence, Rl 02901, or call toll free 800-556-7774 to charge with Visa or MasterCard. 473 Visiting Mathematicians (Supplementary List) The following lists of visiting mathematicians include both foreign mathematicians coming to the United States and Canada, and Americans going abroad. The original lists appeared on pages 382-384 of the june 1982 Notices. American Mathematicians Visiting Abroad Name and Home Country Host Institution Field of Special Interest Period of Visit Beals, Richard (U.S.A.) University of Pairs XI, France Analysis 9/82 • 1/83 Cushman, Richard (U.S.A.) University of Utrecht, Dynamical Systems/Mechanics 1/83 • 4/83 The Netherlands Dolgachev, Igor V. (U.S.A.) University of Warwick, Algebraic Geometry 9/82. 12/82 United Kingdom University of Bonn, West Germany 1/83 . 5/83 Duren, Peter l. (U.S.A.) University of Paris (Orsay), France Complex Analysis 9/82- 1/83 Mittag-Leffler Institute, Sweden 2/83 • 4/83 E. T. H., Switzerland 5/83 • 6/83 Farrell, F. Thomas (U.S.A.) University of London, Queen Mary Topology 9/82- 5/83 College, United Kingdom Kerzman, Norberta (U.S.A.) Mathematics Centre, Amsterdam, Several Complex Variables 9/82 • 10/82 The Netherlands Mendelson, Elliott (U.S.A.) University of Siena, Italy Logic, Set Theory 1/83 - 3/83 Slater, Morton l. (U.S.A.) University of Queensland, Real Analysis 5/82- 12/82 Australia Stiller, P. (U.S.A.) lnstltut des Hautes Etudes Algebraic Geometry 9/82- 6/83 Scientifiques, France Tromba, A. j. (U.S.A.) University of Bonn, Partial Differential Topology 6/82- 4/83 West Germany Visiting Foreign Mathematicians Baldoni Silva, M. Welleda Institute for Advanced Study Representations of Real Semisimple 9/82- 12/82 (Italy) Lie Groups Barbu, Viorel (Rumania) Purdue University Partial Differential Equations, 2/83- 3/83 Control Theory Cannon, john (Australia) Rutgers University Finite Groups 1/83- 12/83 Chang, Chin-Huei (Taiwan) Institute for Advanced Study Partial Differential Equations; 9/82- 4/83 Several Complex Variables Chillag, David (Israel) University of Hawaii Com binatorics 9/82- 5/83 Cygan, jacek (Poland) Louisiana State University Harmonic Analysis 8/81 - 5/83 Dancer, E. Norman (Australia) Rutgers University Functional Analysis 9/82 - 12/82 Darling, Richard W. (England) University of California, Irvine Stochastic Analysis 9/82- 6/83 Diederich, Klas (West Germany) Institute for Advanced Study Complex Analysis 9/82- 4/83 Durumeric, Oguz C. (Turkey) Institute for Advanced Study Differential Geometry 9/82- 4/83 Edwards, C. M. (England) Texas A&M University Functional Analysis 9/82- 1/83 Eells, james (England) Institute for Advanced Study Differential Geometry 9/82- 12/82 Franchetti, C. (Italy) Texas A&M University Approximation Theory 9/82- 1/83 Ghosh, Amit (England) Institute for Advanced Study Analytic Number Theory 9/82- 4/83 Gierz, Gerhard (West Germany) University of California, Riverside Topology 7/82- 6/83 Gyoja, Aklhlko (Japan) Institute for Advanced Study Linear Representations of Finite 9/82- 4/83 Chevalley Groups Heinkel, B. (France) Texas A&M University Probability 9/82- 1/83 Hooley, Christopher Institute for Advanced Study Number Theory 9/82- 12/82 (Great Britain) Huang, Xuan-guo (People's Institute for Advanced Study Differential Geometry 9/82- 4/83 Republic of China) Hurrelbrink, jiirgen Louisiana State University Theory of Algebraic Groups 8/82- 5/83 (West Germany) lllman, Soren (Finland) Purdue University Topology 1/83- 5/83 Kaniel, Shmuel (Israel) Institute for Advanced Study Fluid Dynamics; Non-linear Partial 9/82- 4/83 Differential Equations 474 Name and Home Country Host Institution Field of Special Interest Period of Visit Kennedy, G. (Scotland) Texas A&M University Mathematical Physics 9/82- 6/83 Klingenberg, Wilhelm University of Florida Differential Geometry 12/82- 5/83 (West Germany) Kom16s, ];!nos (Hungary) University of California, Probability and Combinatorics 1/82. 6/83 San Diego Kumaresan, Somaskandan Institute for Advanced Study Representation Theory of Semisimple 9/82- 4/83 (India) Lie Groups Lai, King Fai (Hong Kong) Institute for Advanced Study Automorphic Forms 9/82- 4/83 Landrock, Peter (Denmark) Institute for Advanced Study Modular Representations of Finite 9/82- 4/83 Groups Lazar, Aldo (Israel) Oakland University Functional Analysis 9/82- 5/83 Leung, Yuk-). (Hong Kong) Institute for Advanced Study Functions of One Complex Variable 9/82 - 12/82 Light, W. A. (England) Texas A&M University Approximation Theory 9/82- 6/83 Lindsay, Kenneth (Scotland) Simon Fraser University Applied Mathematics 9/82- 8/83 Lyche, T. ). (Norway) Texas A&M University Approximation Theory 1/83 - 6/83 Mant!, R. (Brazil) University of North Carolina, Dynamical Systems 8/82- 12/82 Chapel Hill McCabe,). H. (Scotland) Texas A&M University Approximation Theory 1/83 - 6/83 McDonald, ian (Scotland) University of Hawaii Group Theory 1/83 - 5/83 Merkuryev, Aleksandr S. Institute for Advanced Study Algebra 9/82- 4/83 (U.S.S.R.) Mogilski, )erzy (Poland) Louisiana State University Topology 8/82. 5/83 Miiller, Detlef (West Germany) Louisiana State University Harmonic Analysis 8/82. 5/83 Niwa, Shinji (Japan) Institute for Advanced Study Number Theory; Automorphic Forms 7/82- 12/82 Paine, john William (Australia) Simon Fraser University Numerical Analysis 9/82- 8/83 Peitgen, Heinz (West Germany) University of California, Numerical Analysis/Degree Theory 3/83. 6/83 Santa Cruz Penrose, Oliver (England) Rutgers University Mathematical Physics 1/83 . 6/83 Presutti, Errico (Italy) Rutgers University Mathematical Physics 9/82- 12/82 Ramakrishnan, Dinakar (India} Institute for Advanced Study L-functions of Curves and 9/82- 4/83 Automorphic Forms Rocha-Caridi, Alvany (Brazil) Institute for Advanced Study Representation Theory of Finite and 9/82- 4/83 Infinite Dimensional Lie Algebra Rosenfeld, Moshe (Israel) Simon Fraser University Discrete Mathematics 9/82 . 4/83 Rubinstein, Joachim H. Institute for Advanced Study Differential Geometry; Minimal 9/82- 12/82 (Australia) Submanifolds Schweitzer, Paul A., S.) ., Institute for Advanced Study Differential Topology and Geometry 9/82- 12/82 (Brazil) Scott, Peter (England) University of Michigan Topology 9/82- 6/83 Smith, Murray (New Zealand) Purdue University Mathematical Statistics, Stopping 8/82- 8/83 Rules Spurr, Barrie D. (Scotland) Simon Fraser University Statistics 9/82- 8/83 Srinivas, Vasudevan (india) Institute for Advanced Study Algebraic Geometry 9/82- 12/82 Szabados, ) . (Hungary) Texas A&M University Approximation Theory 9/82 - 1/83 Szemeredi, Endre (Hungary) University of South Carolina Com binatorics 8/82- 12/82 Tal, Hsin-sheng (Taiwan) Institute for Advanced Study Differential Geometry 9/82- 4/83 Tannenbaum, Allen (Israel) University of Florida Algebraic Geometry 8/82- 5/83 Tomi, Friedrich (Germany) University of California, Partial Differential Equations 3/83 - 6/83 Santa Cruz van den Ban, Erik Institute for Advanced Study Harmonic Analysis on Real Reductive 9/82 - 4/83 (The Netherlands) Lie Groups van den Dries, Lou Institute for Advanced Study Applications of Logic to Algebra 9/82- 4/83 (The Netherlands) and Number Theory Vaughan, Robert C. (England) University of Michigan Number Theory 9/82- 6/83 Verona, Andrei (West Germany) Institute for Advanced Study Differential Topology 9/82- 4/83 Walter, Wolfgang L. University of Florida Partial Differential Equations 8/82- 12/82 (West Germany) Wang, Silei (People's Republic Institute for Advanced Study Harmonic Analysis 9/82- 4/83 of China) 475 Name and Home Country Host Institution Field of Special Interest Period of Visit Wen, Lin (People's Republic City University of New York, Real Analysis and Probability 2/82- 3/83 of China) Graduate School and University Center Wong, Pit-Mann (Hong Kong) Institute for Advanced Study Several Complex Variables; 9/82- 4/83 Complex Differential Geometry Yoshikawa, Atsushi (Japan) Purdue University Partial Differential Equations 8/82- 5/83 Backlog of Mathematics Research Journals Backlog. Information on the backlog of papers of the final revision and its publication may be much for research journals, primarily those published in shorter than is the case otherwise, so these figures are North America, is reported to the Providence Office by low to that extent. those editorial boards which elect to participate. The The observations are made from the latest issue figures are an estimate of the number of printed pages published before the deadline for this issue of the which have been accepted, but are in excess of the Notices from journals that have actually been received number required to maintain copy editing and printing by a subscriber in the Providence, Rhode Island, area; schedules. in some cases this may be two months later than Observed Waiting Time. The quartiles give a publication abroad. If the waiting time as defined measure of normal dispersion. They do not include above is not given in the journal, if no new issue has extremes which may be misleading. Waiting times are been received since the last survey, or if the latest issue measured in months from receipt of manuscript in final is for some reason obviously not typical, no times are form to publication of the issue. When a paper is given in this report and such cases are marked NA (not revised, the waiting time between an editor's receipt available or not applicable). Editor's Estimated Observed Waiting Approximate Time for Paper Time in Latest Number Number Backlog of Submitted Currently Published Issue Issues Pages Printed Pages to be Published (In Months) journal per Year per Year 5/31/82 12/15/81 (In Months) Q1 M Q3 Acta Informatica 8 960 0 0 17 7 9 13 Aequationes Math. 4 640 60 40 12 NA American J. of Math. 6 1340 868 320 13 18 19 24 Annales Sci. Ecole Nor. Sup. 4 600 NR NR 18 11 13 15 Annals of Math. 6 1200 800 1000 17 14 14 17 Annals of Probability 4 1100 0 300 12 13 14 16 Annals of Statistics 4 1350 20 0 14 8 9 11 Applicable Analysis 8 700 0 0 6 11 14 18 Appl. Math. & Optimization 8 768 130 NR 6-9 NA Arch. History of Exact Scis. 8 788 0 0 13 12 14 15 Arch. of Rational Mech. Anal. 12 1200 0 0 12-13 12 14 14 Bull. Soc. Math. France 4 480 NR NR 18 13 15 16 Canad. ). of Math. 6 1500 400 900 16 14 17 21 Canad. Math. Bulletin 4 512 256 256 16 22 24 27 Comm. in Algebra 20 2200 1800 * 13 10 12 13 Comm. Math. Physics 16 2432 0 0 5 8 9 10 Computing 8 768 380 0 7 10 12 16 Duke Math. ). 4 900 0 0 8 6 7 9 Houston ). of Math. 4 600 200 300 6 18 19 28 Illinois J. of Math. 4 704 1295 1321 25 25 25 27 Indiana Univ. Math. ). 6 960 650 500 22 17 21 21 lnt'l. ). of Math. & Math. Scis. 4 800 200 200 16 10 17 21 lnventiones Math. 12 2100 0 0 8 6 7 9 Israel J. of Math. 12 1200 500 200 14 10 12 17 ). Amer. Stat. Assoc. 4 1000 0 so 6 7 9 10 ). Assoc. for Comp. Mach. 4 1000 600 600 12 14 16 19 ). Comp. & Sys. Sci. 6 1000 0 0 12 7 8 11 ). Diff. Geometry 4 650 350 300 6 14 15 22 ). Math. Biology 4 NR NR 150 NR 7 8 8 476 Editor's Estimated Observed Waiting Approximate Time for Paper Time in Latest Number Number Backlog of Submitted Currently Published Issue Issues Pages Printed Pages to be Published (In Months) journal per Year per Year 5/31/82 12/15/81 (In Months) Q1 M Q3 1. Math. Physics 12 3200 0 0 4-5 NA 1. Math. Sociology 4 600 NR NR 2 NA I. Operator Theory 4 800 500 NR 12 11 13 14 1. Symbolic Logic 4 1000 0 0 20 23 28 32 Linear Algebra & Appl. 7 2100 100 300 8 7 8 11 Linear & Multilinear Alg. 6 540 NR 270 15 11 13 13 manuscripta math. 12 1440 0 0 4 3 4 9 Math. Biosciences 10 1600 so 100 6 8 9 11 Mathematical Programming 9 1080 475 NR 10 14 15 15 Math. Systems Theory 4 384 120 NR 6-8 10 12 16 Math. of Comp. 4 1500 0 0 12 10 11 13 Math. of Operations Research 4 640 389 300 16 13 19 24 Math. Annalen 16 2300 0 0 4-6 7 8 9 Math. Zeitschrift 12 1740 0 0 7 7 8 8 Memoirs of AMS 6 2600 1200 0 12 7 11 24 Michigan Math. 1. 3 384 100 NR 6 11 12 15 Monatshefte fiir Math. 8 704 122 100 10 8 9 11 Numer. Func. Anal. & Optim. 8 800 0 0 7 7 7 8 Numerische Math. 6 936 0 0 19 11 13 17 Operations Research 6 1200 400 100 15 26 26 31 Pacific I. of Math. 12 3600 NR NR 15 17 21 25 Proceedings of AMS 12 2000 0 0 9 9 10 12 Quarterly of Appl. Math. 4 472 250 400 12 11 15 16 Rocky Mtn. 1. Math. 4 768 250 450 22 20 22 25 Semigroup Forum 8 768 180 NR 5-6 6 7 9 SIAM ]. Alg. & Disc. Methods 4 560 131 131 12 9 11 14 SIAM J. Appl. Math. 6 1350 431 407 12 14 16 20 SIAM ]. on Computing 4 800 0 219 8 11 14 15 SIAM ]. Control & Optim. 6 850 250 159 12 11 11 12 SIAM ]. on Math. Anal. 6 1050 375 444 13 11 11 15 SIAM ). on Numer. Anal. 6 1300 269 229 11 12 13 14 SIAM ]. on Sci. Stat. Comp. 4 500 94 0 12 10 11 13 SIAM Review 4 560 0 0 6 9 10 13 Stochastics 4 350 NR NR 2 NA Topology & Its Appl. 6 660 90 100 9-12 10 11 13 Transactions of AMS 12 4800 200 450 9 14 16 18 Z. Wahrscheinlichkeitstheorie 12 1680 0 0 8-9 8 8 13 N R means no response received NA means not avail able or not applicable. *This is a new journal. Backlog information re: 12/15/81 not available. of mathematical units in nonacademic organizations. MATHEMATICAL SCIENCES Information includes current addresses (including ADMINISTRATIVE DIRECTORY telephone numbers in many cases), terms of office, and other pertinent This directory, published annually, lists key per information for the organiza tions represented. sonnel-officers and committee members-of 31 pro fessional mathematical organizations and of a 1982 Volume, iv + 108 pages {soft cover) selected group of government Price $12.60 agencies, editors of ISBN 0-8218-0074·4 over 1 00 journals, over 3,000 heads of academic Publication date: February 1982 departments in the mathematical sciences, and heads To order, please specify ADMDI R/82N 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. 477 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, 1981 The Society had investments in accounts in the Rhode Island Hospital Trust National Bank ...... $ 2,573,397 There was owing to it by members, subscribers, and others (less allowance for doubtful accounts) ...... 173,368 It had prepaid expenses and deposits ...... 99,445 It had deferred prepublication costs ...... 382,980 It had invested in the headquarters building, Mathematical Reviews editorial offices, a computer, and other equipment ...... 3,424,396 Making a total of current and fixed assets of ...... 6,653,586 The Society also held investment securities and uninvested principal cash valued at ...... 1,957,821 (The approximate market value December 31, 1981 was $ 1,924,571) Total assets, therefore, were ...... $ 8,611,407 Offsetting these assets, the Society had Accounts payable ...... 659,766 Reserved unearned dues and subscriptions ...... 3,779,939 Other miscellaneous liabilities ...... 380,384 Funds and grants received from various sources to support particular projects such as the summer institute, symposia, etc. . $ (706) A surplus in its publication funds...... 1,783,053 1,782,347 Its general fund reflected a surplus balance of . . . 51,150 Thus, accounting for all the current funds . . . . 6,653,586 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 ...... 179,972 The various prize funds ...... 164,663 Dues and publication reserve fund ...... 115,752 Mathematical Reviews subscription reserve fund 80,000 Undistributed net gains on investment transactions . . 546,069 Friends of Mathematics Fund ...... 29,493 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 1,957,821 Total liabilities and fund reserves, therefore, were...... $ 8,611,407 478 II. AN ACCOUNT OF THE FINANCIAL TRANSACTIONS OF THE SOCIETY DURING THE FISCAL YEAR ENDED DECEMBER 31,1981 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 AbstTacts, the Bulletin, the Proceedings, Mathematics of Computation, the Notices, Current Mathematical Publications, Mathematical Reviews, and the Transactions. To meet its general obligations, the Society received from Dues and contributions of individual members ...... 500,523 Dues of institutional members ...... 225,900 Dues of corporate and associate members ...... 6,150 732,573 Less amount allocated to Notices and Bulletin ...... 456,795 275,778 Sales of Society journals ...... 3,658,300 Investments and trusts ...... 490,800 Publication contributions ...... 72,553 Miscellaneous sources ...... 38,151 Total general receipts ...... 4,535,582 These funds· were expended for Publication of Society journals ...... 4,147,240 Net transfers to invested, special and publication funds, including support of membership services and costs of meetings ...... 696,314 Miscellaneous ...... 268,153 Total general expenses and transfers...... 5,111,707 Net Deficit transferred to general funds ...... $ (576,125) Respectfully submitted, Franklin P. Peterson Treasurer Recent Appointments be created, the AMS-MAA-SIAM Joint Concerns Committee in Mathematics. The members of Committee members' terms of office on standing the Committee are Richard D. Anderson (MAA), committees expire on December 31 of the year I. Edward Block (SIAM), Andrew M. Gleason given in parentheses following their names, unless (AMS), William J. LeVeque (AMS), Seymour V. otherwise specified. Parter (SIAM), and Alfred B. Willcox (MAA). It is anticipated that each of the participating A Visiting Committee on Computer Operations organizations will be represented by one more member. and Facilities has been appointed by President Andrew M. Gleason. The committee members James G. Glimm (1985) and R. 0. Wells, Jr. (1985), are Harvey Cohn, Brian Kernighan, chairman, and who also serves as chairman, have been reappointed to Robert Sedgewick. the Committee on Summer Research Conferences. Continuing members of the committee are Kenneth A Committee on Corporate Relations has been Kunen (1983), Donald S. Ornstein (1983), Julius appointed by Alex Rosenberg, chairman of the Board Shaneson (1984), and Shmuel Winograd (1984). of Trustees. The members of the committee so Terms of office expire on June 30. far appointed are Oscar S. Rothaus and P. Emery Thomas. The name of the AMS-MAA-NCTM-SIAM Com mittee on Women in Mathematics has been changed Paul R. Halmos (1983) and Paul J. Sally, Jr. to the AMS-MAA-NCTM-SIAM Committee on (1983) were elected to the Executive Committee of Women in the Mathematical Sciences. The mem the Council by the Council members. The other bers of the Committee are Pamela Cook-Ioannidis members of the Executive Committee are Andrew M. (SIAM, 1982), Etta Z. Falconer (AMS, 1982), Phyllis Gleason (ex officio), Everett Pitcher (ex officio), Julia Fox (SIAM, 1983), Mary W. Gray, chairman (AMS, B. Robinson (ex officio), Mary Ellen Rudin (1982), 1983), John L. Kelley (AMS, 1984), Barbara Keyfitz and I. M. Singer (1982). (SIAM, 1984), Edith H. Luchins (MAA, 1982), Jac The Executive Committee of the Council has queline C. Moss (MAA, 1981), Katherine L. Pedersen approved the recommendation of the AMS-MAA (NCTM, 1982), Alice T. Schafer (AMS, 1983), Joel SIAM Joint Proiects Committee for Mathematics E. Schneider (NCTM, 1982), Barbara Searle (NCTM, that this committee be terminated in its present 1982), and Gail A. Williams (MAA, 1983). form. The Executive Committee further approved H. L. Resnikoff (1983) has been appointed to the the recommendation that a new joint committee Trustees' Committee on the Publication Program, 479 and Barbara J. Janson has been appointed as Fan R. K. Chung, Don Coppersmith, Ira M. Gessel, a consultant to the committee. The continuing Charles H. Goldberg, Jerrold R. Griggs, Daniel J. members of the committee are Murray Gerstenhaber, Kleitman, Frank Thomson Leighton, Andrew M. Od chairman (1982), William J. LeVeque (ex officio), lyzko, Torrence D. Parsons, J. Scott Provan, David R. James Milgram (1982), and Everett Pitcher (ex P. Robbins, Fred S. Roberts, Thomas W. Tucker, officio). Douglas B. West, and Thomas Zaslavsky. Operator theory, RHONDA J. HUGHES, Bryn Reports of Past Meetings Mawr College. The speakers were Allen Devinatz, I. Erdelyi, Seymour Goldberg, Rhonda J. Hughes, The March Meeting in Bryn Mawr Abel Klein, Mark A. Kon, A. Edward Nussbaum, and Judith A. Packer. The seven hundred ninety-third meeting of the Applied mathematics, FERN HUNT, Howard American Mathematical Society was held at Bryn University. The speakers were Gail A. Carpenter, Mawr College, Bryn Mawr, Pennsylvania, on Tuesday G. Bard Ermentrout, Nicholas Kazarinoff, Annett and Wednesday, March 16-17, 1982. There were 322 Nold, and Jane Cronin Scanlon. registrants, including 284 members of the Society. Differential and differential-delay equations, The meeting was followed by a symposium sponsored MARIO MARTELLI, Bryn Mawr College, and by the Association for Women in Mathematics. Universita di Calabria, Italy, and ROGER D. Invited Addresses. By invitation of the Com NUSSBAUM, Rutgers University. The speakers were mittee to Select Hour Speakers for Eastern Sectional Kathleen T. Alligood, Jack K. Hale, John Mallet Meetings, there were four invited one-hour addresses. Paret, Walter V. Petryshyn, William F. Trench, and The speakers, and the titles of their talks follow: James Yorke. ALBRECHT FROHLICH, University of London, Mathematics of voting and bargaining, SAMUEL England, and the University of Illinois, Urbana MERRILL, Wilkes College. The speakers were Champaign, Rings of algebraic integers as Galois Francine F. Abeles, Douglas H. Blair, Peter C. modules. Fishburn, Arthur Q. Frank, William V. Gehrlein, STEPHEN S. SHATZ, University of Pennsylvania, Dale T. Hoffman, William Lucas, Samuel Merrill III, Philadelphia, What does it mean to classify Christopher H. Nevison, Edward W. Packel, and algebraic varieties and how does one do it? Donald G. Saari. NANCY K. STANTON, University of Notre Applications of algebra, VERA PLESS, Univer Dame, The heat equation in several complex sity of Illinois, Chicago Circle. The speakers were variables. N.J.A. Sloane, and Richard P. Stanley. LEONID N. V ASERSTEIN, Pennsylvania State Algebraic geometry and cognate areas: Alge University, University Park, Classical groups over braic number theory, and commutative algebra, rings. STEPHEN S. SHATZ. The speakers were Greg W. Special Sessions. By invitation of the same Anderson, J. Eric Brosius, Bruce Crauder, Sankar committee, there were twelve special sessions of P. Dutta, Lawrence Ein, David Harbater, Melvin selected twenty-minute papers, some of them related Hochster, Marc N. Levine, Rick Miranda, Yevsey A. to the AWM Symposium. The topics of these special Nisnevich, Ulf A. Persson, and V. Srinivas. sessions, names of the organizers, and lists of speakers Representation theory of finite groups and follow: Lie groups, BHAMA SRINIVASAN, University of Constructive methods in algebra, CHRISTINE Illinois, Chicago Circle. The speakers were Dean AYOUB, Pennsylvania State University, University Alvis, Kristina Hansen, Rebecca A. Herb, Philip C. Park. The speakers were Michael M. Anshel, Gilbert Kutzko, Kathy McGovern, Ch. Riedtmann, Linda Baumslag, J. T. B. Beard, Jr., Dennis Estes, Anthony Preiss Rothschild, Diana Shelstad, Peter L. Slodowy, M. Gaglione, Robert Gilmer, Christoph M. Hoffmann, Birgit Speh, and A. Turull. Erich Kaltofen, Ray Mines, Ani! Nerode, M. Pohst, Boris Raykshteyn, Fred Richman, James Solderitsch, Several complex variables, NANCY K. STAN Hale F. Trotter, David Y. Y. Yun, and Hans J. TON. The speakers were Eric Bedford, Stephen R. Zassenhaus. Bell, Harold P. Boas, AI Boggess, Daniel M. Burns, Galois module structure of algebraic integers, Jr., Alexander Dynin, Leon Ehrenpreis, James J. ALBRECHT FROHLICH. The speakers were Faran, C. Robin Graham, C. Denson Hill, J. J. Kohn, Stephen U. Chase, Lindsay N. Childs, Ted Chinburg, Steven G. Krantz, John C. Polking, R. Michael Maryse Desrochers, Kurt C. Foster, Donald E. Range, Bernard Shiffman, Geraldine Taiani, David S. Maurer, Leon R. McCulloh, Jacques Queyrut, Jack Tartakoff, and Pit-Mann Wong. Sonn, Stephen V. Ullom, and David L. Webb. Algebraic K- and L-theory, LEONID N. Combinatorics and graph theory, C. M. VASERSTEIN. The speakers were Hyman Bass, GRINSTEAD, Virginia Polytechnic Institute and Ruth Charney, James F. Davis, Keith Dennis, Eric State University, and STEPHEN B. MAURER, M. Friedlander, Susan C. Geller, Charles H. Giffen, Swarthmore College. The speakers were Robert Henri Gillet, Daniel R. Grayson, A. 0. Kuku, G. Bland, Ethan D. Bolker, Robert Calderbank, Bruce A. Magurn, Andrew A. Ranicki, Michael R. 480 Stein, Richard G. Swann, R. W. Thomason, Karen University Park. The speakers were George E. Vogtmann, and Charles Weibel. Andrews, Richard A. Askey, A. 0. L. Atkin, Contributed Papers. There were three sessions R. Balasubramanian, Bruce C. Berndt, William H. for contributed ten-minute papers. Burge, P. D. T. A. Elliott, Basil Gordon, Marvin Knopp, Carlos J. Moreno, Robert A. Rankin, Mark Council Meeting. The Council of the Society Sheingorn, Dennis Stanton, and Samuel S. Wagstaff, met at 7:00 p.m. on March 16, at the Philadelphia Jr. Marriott Hotel, City Line Avenue and Monument Asymptotic solutions of ordinary differential Road. equations, Po-FANG HSIEH, Western Michigan AWM Noether Symposium. The Association for University. The speakers were Donatus U. Anyanwu, Women in Mathematics organized a symposium to H. Gingold, Leon M. Hall, B. J. Harris, P. F. commemorate the 100th anniversary of the birth of Hsieh, David Ching-Her Lin, D. A. Lutz, R. E. Emmy Noether. The Organizing Committee for the Meyer, Robert E. O'Malley, Jr., Seymour V. Parter, symposium included Michael Artin, Israel N. Herstein, T. K. Puttaswamy, W. H. Reid, Maxwell Rosenlicht, Rhonda Hughes (chair), Alice Schafer, Martha K. Reinhard Schiifke, and Charles Tier. Smith, and Bhama Srinivasan. Speakers at the Applications of cohomology in number theory, symposium were Armand Borel, Walter Feit, Nathan JOHN M. MASLEY, University of Illinois, Chicago Jacobson, David Mumford, Judith Sally, Richard Circle, and University of Notre Dame. The speakers Swan, Olga Taussky-Todd, Karen Uhlenbeck, and were Walter L. Baily, Jr., Robert J. Bond, Gary Michele Vergne. Cornell, H. Kisilevsky, William Messing, Dinakar Ramakrishnan, Michael J. Razar, Michael I. Rosen, Raymond G. Ayoub William Sinnott, and S. Sperber. University Park, Pennsylvania Associate Secretary Partial differential equations, PAUL H. RABINOWITZ, University of Wisconsin, Madison. The speakers were Felix E. Browder, E. DiBenedetto, The April Meeting in Madison Lawrence C. Evans, Ronald Gariepy, Robert Jen sen, S. Klainerman, Alan C. Lazer, Paul E. Sacks, The seven hundred ninety-fourth meeting of the M. Slemrod, Joel A. Smoller, Bruce Turkington, and American Mathematical Society was held at the William P. Ziemer. Wisconsin Center of the University of Wisconsin, Classical real analysis, DANIEL WATERMAN, Madison, on Friday and Saturday, April16-17, 1982. Syracuse University. The speakers were Peter Bullen, There were 316 registrants, including 27 4 members of Richard B. Darst, Henry Fast, James Foran, K. M. the Society. The Association for Symbolic Logic met Garg, Paul D. Humke, Lee Larson, Cheng-Ming Lee, concurrently. David A. Legg, Jan Marik, C. J. Neugebauer, Togo Invited Addresses. By invitation of the 1981 Nishiura, R. J. O'Malley, Michael Schramm, B. S. Committee to Select Hour Speakers for Central Thomson, C. E. Wei!, and Robert E. Zink. Sectional Meetings, there were four invited addresses: Topics in the theory of functions of a single complex variable, JACK WILLIAMSON, MICHAEL G. CRANDALL, University of Wiscon University sin, Madison, Generalized solutions of Hamilton of Hawaii, Honolulu, and University of Wisconsin, Jacobi equations. Madison. The speakers were Albert Baernstein II, Johnny E. Brown, Albert Edrei, Matts Essen, Stephen CASPER GOFFMAN, Purdue University, Some D. Fisher, Robert M. Gethner, Bruce Hanson, uses of Sobolev spaces and of Cesari spaces. John Lewis, Joseph Miles, Rao Nagisetty, Richard JAMES S. MILNE, University of Michigan, Ann Rochberg, John Rossi, Li-Chien Shen, Charles S. Arbor, Arithmetic varieties. Stanton, Allen Weitsman, Thomas H. Wolff, and YASUTAKA SIBUYA, University of Minnesota, Jang-Mei Wu. Minneapolis, Gevrey expansions and cohomological Contributed Papers. There were seven sessions methods in the theory of asymptotic solutions. of contributed ten-minute papers, for which Bruce C. The presiding officers at these four lectures were Berndt, Richard A. Brualdi, Donald W. Crowe, John M. Salah Baouendi, Joel A. Smoller, Walter L. Baily, P. D'Angelo, William H. Reid, Daniel F. Shea, and Jr., and Fred G. Brauer. William P. Ziemer served as presiding officers. Of Special Sessions. By invitation of the same the 22 ten-minute papers listed in the program of committee, there were seven special sessions of the meeting, 6 were withdrawn; one late paper was selected twenty-minute papers: added, so that 17 ten-minute papers were actually Minimal manifolds, RICHARD L. BISHOP, presented. University of Illinois, Urbana-Champaign. The Symposium. The meeting was preceded by speakers were Josef Bemelmans, Robert Gulliver, a Symposium on Several Complex Variables, held Robert Hardt, Nicholas J. Korevaar, Johannes C. C. Monday through Thursday, April 12-15. Partial Nitsche, Philippe Tondeur, Karen K. Uhlenbeck, and support was provided by a grant from the National Ai-Nung Wang. Science Foundation. The Organizing Committee The legacy of Srinivasa Ramanujan, DAVID for the symposium consisted of Robert C. Gunning, M. BRESSOUD, Pennsylvania State University, F. Reese Harvey, Raghavan Narasimhan, Walter 481 Rudin, Yum-Tong Siu (chairman), Wilhelm F. Stoll, Halsey L. Royden, Walter Rudin, Michael Schneider, and Shing-Tung Yau. Bernard Shiffman, Henri Skoda, Andrew Sommese, The speakers at the symposium were Eric D. Nancy K. Stanton, Wilhelm Stoll, Edgar Lee Stout, Bedford, Steven R. Bell, Thomas Bloom, Albert B. A. Taylor, Andrei N. Todorov, Domingo Toledo, Boggess, Daniel M. Burns, Jr., David E. Catlin, Yu Lin Tong, Sidney M. Webster, R. 0. Wells, Sun-Yung Alice Chang, John P. D'Angelo, Klaus Jr., Pit-Mann Wong, Hung-Hsi Wu, Paul C. Yang, Diederich, John E. Fornaess, Michael B. Freeman, Shing-Tung Yau, Stephen 8.-T. Yau, and William R. Bruce Gilligan, Hans Grauert, Robert E. Greene, Zame. Gary A. Harris, F. Reese Harvey, Norberta Kerzman, Shoshichi Kobayashi, Joseph J. Kohn, Steven Paul T. Bateman Urbana, Illinois Associate Secretary G. Krantz, Masatake Kuranishi, Ngaiming Mok, Alexander Nagel, John Polking, R. Michael Range, A. Pfister, On quadratic forms and Abelian varieties over function fields D. Dubois and T. Recio, Order extensions and real algebraic geometry CONTEMPORARY H. Schiilting, Real points and real places MATHEMATICS N. Schwartz, The strong topology on real algebraic varieties (ISSN 0271-4132) D. Shapiro and T. Lam, The square class invariant for Pythagorean fields A. Tognoli, Coherent algebraic sheaves In real alge ORDERED FIELDS AND REAL braic geometry ALGEBRAIC GEOMETRY A. Engler and T. Viswanathan, Digging holes in edited by Donald W. Dubois and Tomas Recio algebraic closures aIa Artin-11 The contents of this book comprise, with only This book contains a representative sample of minor editorial changes, papers submitted by those current research by experts from many countries. mathematicians who accepted an invitation to There are two outstanding contributions. First the speak at the American Mathematical Society\ book represents the first broadly international con Special Session on Ordered Fields and Real Alge ference on its topic, and, above all, it contains prob braic Geometry in San Francisco, January 1981. ably the greatest break-through yet in commutative C. Andradas, Normal decompositions of semi algebra, with a brilliant array of applications in real algebraic sets algebraic geometry. This is the paper of Coste and G. Brumfiel, Some open problems Roy where the theory of the spectre reel is given its Michel Coste and Marie-Fran~oise Roy, La topolog/e first full exposition. du spectre reel There are other papers of unusual significance. H. Delfs and M. Knebusch, Semialgebraic topology Pfister applies his famous quadratic form theory to a over a real closed field study of Abelian varieties. Delfs and Knebusch add C. Delzell, A finiteness theorem for open semi-alge another chapter to their semi-algebraic topology in braic sets, with applications to Hilbert's 17th varieties over real-closed fields. Lam and Shapiro add problem to their fine contributions in quadratic form theory. L. Brocker, Andreas Dress and R. Scharlau, An There are outstanding contributions from several (almost) trivial local-global principle for the repre young mathematicians, notably Andradas, Delzell, sentation of -1 as a sum of squares in an arbi Harman, Merzel, Recio and Schiilting. trary commutative ring Potential readers require above all a good back G. Efroymson, The Nash ring of a real surface ground in commutative algebra (especially the real R. Gilmer, Extension of an order to a simple trans kind). Most papers require basic knowledge of affine cendental extension algebraic varieties. Some require sheaf theory, or D. Gondard, TMorie des modeles et fonctions de cohomology theory or quadratic form theory. finies positives sur les variett!s algt!briques rt!eles J. Harman, Chains of higher level orderings 1980 Mathematics Subject Classiflcatlons:12D15, 12)15, M. Henriksen and F. Smith, Some properties of 32C05, 10C04, 13)25. positive derivations on f-rings Volume 8, viii + 368 pages (soft cover) ). Merzel, Quadratic forms over fields with finitely List price $18.80, institutional member $14.10, individual member $9.40 many orderings ISBN 0·8218-5007·5; LC 82·3951 B. Glastad and J. Mott, Finitely generated groups of Publication date: April 1982 divisibility To order, please specify CONM/8N Prepayment is required for all AMS publications. Order from AMS, P.O. Box 1571, Annex Station, Providence, Rl 02901, or call toll free 800-556-7774 to charge with Visa or MasterCard. 482 Officers and Committee Members of the Society Terms expire on December 31 of the year given unless otherwise specified. BOARD OF TRUSTEES Mathematieo of Computation Steve Armentrout 1982 Cathleen S. Morawet•,1985 James H. Bramble, 1983 Morris Newman 1983 (ex officio) secretary chairman Daniel Shanks 1984 Andrew M. Gleason 1982 Franklin P. Peterson 1982 Carl de Boor 1982 (ex officio) (ex officio) Ronald L. Graham 1986 Alex Rosenberg, 1983 Aaaociate Editor• Joseph J. Kohn 1982 chairman Todd Dupont 1982 Beresford Parlett 1982 P. Emery Thomas 1984 Walter Gautachi 1983 Philip Rabinowitz 1984 Donald Goldfarb 1984 R. Rice 1984 COUNCIL Eugene Isaacson 1983 C. Sima 1983 OFFICERS (Member• of the Couneil, ex officio) Hein21-0tto Kreiss 1984 Hans J. Stetter 1982 Yudell L. Luke 1984 Vidar Thomee 1983 President Andrew M. Gleason 1982 James N. Lyness 1983 Hugh C. Williams 1983 President-elect Julia B. Robinson 1982 John E. Osborn 1983 John W. Wrench, Jr. 1984 Vice-Presidents Michael Artin 1983 Paul R. Halmos 1982 Proeeedingo Elias M. Stein 1983 Secretary Everett Pitcher 1982 Thomas H. Brylawaki 1984 Reinhard E. Schult• 1983 Associate Secretaries Raymond G. Ayoub 1982 David M. Goldachmidt1985 J. Jerry Uhl, Jr. 1985 Zalcman 1982 Paul T. Bateman 1983 William E. Kirwan, II 1983 Lawrence A. Frank T. Birtel 1982 David J. Lut.er 1983 Hugo Rossi 1983 Aaaoeiate Editor• Treasurer Franklin P. 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Morawet21 Richard K. Laohof 1982 Agenda and Budget A11oeiate Editor• for Reaeareh - Expoaitory Artiele• Steve Armentrout Everett Pitcher Hyman Baas 1984 Peter D. Lax 1983 Andrew M. Gleason Alex Rosenberg, chairman S. S. Chern 1984 John W. Milnor 1982 Franklin P. Peterson Frederick W. Gehring 1984 Hugh L. Montgomery 1983 Irving Kaplanaky 1982 Gian-Carlo Rota 1984 Compoaition Teehnology Ronald L. Graham, Peter Renm Colloquium chairman Michael Spivak John W. Milnor, 1984 Stephen Smale 1983 Donald E. Knuth Peter G. Weiner chairman Elias M. Stein 1982 Computer Operation• and Faeilitiea, Mathematieal Reviewo Visiting Committee on Paul T. Bateman 1982 Carl M. Pearcy, 1983 Harvey Cohn Robert Sedgewick Morton Lowengrub 1984 chairman Brian Kernighan, chairman Mathematieal Surveya Corporate Relations Donald W. Anderson 1984 Jane Cronin Scanlon, 1983 Oscar S. Rothaua R. James Milgram 1982 chairman P. Emery Thomas A11oeiate Editor• for Contemporary Mathematie1 Endowment Jeff Cheeger Jameo I. Lepowsky Adriano Garoia Johannes C. C. Nitsche Andrew M. Gleason Cathleen S. Morawet• Kenneth Kunen Irving Reiner W. Ted Martin 483 Investment Central Sectional Meetings (Select Hour Speaken for) Steve Armentrout Alex Rosenberg Richard A. Askey 1983 Paul T. Bateman (ex ollicio) Franklin P. Peterson, M. S. Baouendi, 1982 R. H. Bing 1982 chairman chairman J. Ian Richards 1983 Legal Aid Eaatern Sectional Meetings (Select Hour Speaker• for) Steve Armenrout Todd Dupont Raymond G. Ayoub Bernard Maakit 1983 Morton L. Curtis, chairman Murray Geratenhaber (ex ollicio) S. S. R. Varadhan 1982 Hyman Baas 1983 Memberahip Herman R. Gluck, 1982 Paul T. Bateman, 1984 Frederick W. Gehring 1982 chairman· chairman Jack K. Hale 1983 John P. D'Angelo 1984 Far Weatern Sectional Meeting• (Select Hour Speakero for) The Publication Program Paul J. Cohen, 1982 Morris W. Hirsch 1982 Murray Geratenhaber, 1982 R. James Milgram 1982 chairman Alistair H. Lachlan 1983 chairman Everett Pitcher (ex officio) William J. Helton 1983 Hugo Rossi (ex officio) Barbara Janson, consultant H. L. Reanikoff 1983 William J. LeVeque Southeaatern Sectional Meeting• (ex officio) (Select Hour Speaker• for) Stat!' and Services Frank T. Birtel (ex officio) Michael C. Reed 1983 Bjarni Jonsson 1983 Marvin Rosenblum 1982 Steve Armentrout Alex Rosenberg, chairman Harsh V. Pittie, 1982 Franklin P. Peterson chairman LIAISON COMMITTEE Agenda for Buoine11 Meeting• Andrew M. Gleason, Franklin P. Peterson Everett Pitcher, chairman Guido L. Weiss 1982 chairman Everett Pitcher Marian B. Pour-El 1982 ------1983 David A. Sanche• 1982 EXECUTIVE COMMITTEE OF THE COUNCIL Gibba Lecturer• for 1983 Paul R. Halmoa 1983 Julia B. Robinson 1985 and 1984, Andrew M. Gleason 1983 (ex officio) Committee to Select (ex officio), chairman Mary Ellen Rudin 1982 R. Creighton Buck, Freeman J. Dyson Everett Pitcher Paul J. Sally, Jr. 1983 chairman David Gilbarg (ex officio) I. M. Singer 1982 STATUS OF THE PROFESSION INTERNAL ORGANIZATION OF THE Standing Committee• AMERICAN MATHEMATICAL SOCIETY Academic Freedom, Tenure, and Standing Committee• Employment Security Committee on Committee• Fred G. Brauer 1983 Calvin C. Moore 1983 Lewis A. Coburn 1982 James A. Donaldson Arlan B. Ramsay, 1983 1982 Everett Pitcher (ex officio) Martin D. Davia 1984 chairman Ronald G. Douglas 1982 Marian B. Pour-El 1982 James E. Joseph 1984 Frederick W. Gehring 1982 Neil J. A. Sloane 1982 R. James Milgram, 1982 Employment chairman and Educational Policy Lida K. Barrett, 1982 Donald C. Rung 1984 Nominating Committee chairman Robert J. Thompson 1982 Irwin Kra 1984 Barnet M. Weinstock 1983 Ronald G. Douglas 1982 Linda Preiss Rothschild Robert W. McKelvey 1983 Reuben Hersh 1982 1983 David Mumford 1983 Guido L. Weiss 1982 Data Subcommittee Ivan Niven, chairman 1982 George W. Whitehead 1983 Lida K. Barrett Wendell Ralph H. Fleming S. Phillips 1983 Susan J. Devlin, consultant Arthur P. Mattuck Lincoln K. Durat Donald C. Rung, chairman Ad Hoe Committee• Employment Concern• Subcommittee Centennial Committee Charlotte Lin Barnet M. Weinstock, Felix E. Browder Everett Pitcher, chairman Audrey Terrae chairman Harold M. Edwards Robert J. Thompson Andrew M. Gleason Short Couroe Subcommittee OTHER PUBLICATIONS COMMITTEES Stefan A. Burr Cathleen S. Moraweto Ronald L. Graham, Barbara L. Ooofoky Standing Committee• chairman Philip D. Straftin, Jr. Notieea Editorial Committee Robert W. McKelvey Ralph P. Boas 1984 Everett Pitcher, chairman Ruman Rights of MatheJDatieiana Ed Dubinsky 1982 (ex o.fflcio) Lincoln K. Durst (ex offlcio) Mary Ellen Rudin 1984 R. H. Bing 1982 John A. Nobel 1982 Richard J. Griego 1982 Bertram Walsh 1984 Chandler Davis 1983 Eduardo D. Sontag, 1984 Susan Montgomery 1982 Ed Dubinsky 1983 chairman Peter J. Hilton 1984 Gail S. Young 1983 Proeeedingo of Sympoaia in Applied Mathematic• Opportunitiea in MatheJDaties Editorial Committee for Diaadvantaged Groups Stephen Childress 1983 ------1984 Stephen Crandall 1982 Manuel P. Berriosabal1982 Gloria F. Gilmer 1982 James A. Donaldson, 1984 Harold J. Stolberg 1984 chairman Scott Williams 1983 PROGRAM AND MEETINGS Roland F. Esquerra 1984 Standing Committee• Postdoctoral Fellowahipa Program Committee for National Meeting• Benedict Groos 1982 Donald E. Sarason 1983 Enrico Bombieri 1983 Everett Pitcher (ex ollicio) Richard H. Karp 1983 Robert I. Soare, 1982 Ronald L. Graham 1983 J. H. Sampson 1982 Daniel J. Kleitman 1983 chairman Melvin Hochater 1984 Barry Simon, 1982 Paul Rahinowits 1983 Robion C. Kirby 1984 chairman 484 Science Policy AMS Subeommittee Member• Hyman Baas 1984 Ralph S. Phillips 1982 Iarael Berstein 1983 Neal I. Koblito 1984 Felix E. Browder 1984 Julia B. Robinson Ronald G. Douglaa 1982 Boria Mityagin 1983 Frederick W. 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Liu Evaluation Panel for NSF Postdoctoral Fellowship• C. C. Lin Franklin P. Peterson in the Mathematical Seience1 Mark Ablowito (SIAM), Paul Chernoff (AMS) PRIZES AND AWARDS chairman Donald Burkholder (IMS) Standing Committeea AMS-MAA Arrangement& Committee for the Pri1e1 Toronto Meeting, Auguat 23-26, 1982 Walter Feit 1982 Ivan Niven, chairman 1983 Morton Abramson Jamea McCool John W. Milnor 1982 Daniel Zelinaky 1983 James G. Arthur Stephen J. Pierce, chairman Raymond G. Ayoub David P. Roaelle (ex officio) National Awarda and Public Repreaentation (ex officio) Annette Bunter Paul J. Cohen 1983 Everett Pitcher (ex officio) Edward J. Barbeau, Jr. James R. Vanstone Andrew M. Gleaoon, 1982 Julia B. Robinson 1985 L. Terrell Gardner John B. Wilker chairman William J. LeVeque (ex officio) Steele Priaea (Terms expire on June 30) AMS-MAA Arrangements Committee for the Stuart Antman 1983 Max M. Schiffer 1983 M. D. Kruokal 1983 Edwin H. Spanier 1984 Denver Meeting, January 5-9, 1983 Louis Nirenberg 1983 Gail S. Young, Jr. 1983 Nancy S. Angle William J. LeVeque Alex Rosenberg, 1983 ------1985 Paul T. Bateman (ex officio) (ex officio) chairman ------1985 Jerrold W. Bebernea Arne Magnus William S. Dorn Richard Osborne INSTITUTES AND SYMPOSIA John P. Gill, Jr. Arlan B. Ramaay Gary W. Grefarud William N. Reinhardt Standing Committee• Raymond R. Gutoman David P. Roselle (ex officio) Zenoa Hartvigaon Nancy Warren Townaend Summer Reaearch Conference• Frieda K. Holley (Terms expire on June 30) Jamea G. Glimm 1985 R. 0. Welh, Jr., 1985 AMS-MAA Joint Meetings Committee Kenneth Kunen 1983 chairman William J. LeVeque, David P. Roselle Donald S. Ornatein 1983 Shmuel Winograd 1984 chairman (ex officio) Alfred B. Willcox Julius Shaneson 1984 ------1986 Everett Pitcher 1986 AMS-MAA Joint Program Committee for the Summer lnatitutea (Terms expire on February 28) Toronto Meeting Robert Oaoerman, 1984 Harold M. Stark 1984 Raymond G. Ayoub Hugh L. Montgomery chairman Stephen Wainger 1983 Leonard Gillman, chairman Everett Pitcher George C. Papanicolaou ------1985 Ronald L. Graham Gerald J. Porter 1983 ------1985 AMS-MAA-NAM Joint Committee on Graduate Ad Hoe Committee• Program• at Traditionally Black Institution• 1982 AMS-SIAM Summer Inatitute on C. B. Bell (AMS) I. N. Heratein (MAA) Recuraion Theory Lipman Ben (AMS) Frank A. Jamea (NAM) R. Creighton Buck (MAA) Ted Sykea (NAM) Solomon Feferman Joseph Shoenfield Yiannia Moachovakia Richard A. Shore, Anil Nerode, eo-chairman eo-chairman AMS-MAA-NCTM-SIAM Committee on Hilary Putnam Robert I. Soare Women in the Mathematical Sciences Gerald Sack• Pamela Cook-Ioannidis Jacqueline C. Moas (MAA) (SIAM) 1982 1981 1982 Summer Seminar on Application• of Group Etta z. Falconer (AMS) Katherine L. Pederaen Theory in Phyaica and Mathematical Phyaica 1982 (NCTM) 1982 Phyllis Fox (SIAM) 1983 Alice T. Schafer (AMS) M. Flato Paul J. Sally, Jr., chairman Mary W. Gray (AMS),1983 1983 C. Fronsdal I. M. Singer Joel E. Schneider (NCTM) Irving Kaplanaky J. Wolf chairman John L. Kelley (AMS) 1984 1982 Y. Nambu G. Zuckerman Barbara Keyfito (SIAM) Barbara Searle (NCTM) 1984 1982 JOINT COMMITTEES Edith H. Luchins (MAA) Gail A. Williama (MAA) AMS-IMS-ASL Committee on Tranalationa from 1982 1983 Russian and Other Foreign Language• AMS-MAA-SIAM Committee on Employment (Terms expire on September 30) Opportunitiea (Terms expire on October 31) Lawrence ;llalcman (AMS), Wilfred E. Barnea (MAA) Calvin T. Long (MAA) chairman 1984 1981 1983 James Daniel (SIAM) 1983 Ervin Y. Rodin (SIAM) Roger A. Horn (AMS),1982 1982 chairman Donald C. Rung (AMS) 1984 485 AMS-MAA-SIAM Joint Concern& Committee in AMS-SIAM Committee to Select the Winner of the Mathematics Birkhoft' Prise for 1983 Richard D. Anderson (MAA) Alfred B. Willcox (MAA) Garrett Birkhoft' Clifford Truesdell, III I. Edward Block (SIAM) ------(AMS) Mark Kac, chairman Andrew M. Gleason (AMS) ------(MAA) William J. LeVeque (AMS) ------(SIAM) AMS-SIAM Committee to Screen Applicants for Seymour V. Parter (SIAM) Graduate Study from the People's Republic of China AMS-MAA-SIAM Joint Administrative Committee Phillip A. Griffiths Franklin P. Peterson, Chia-chiao Lin chairman I. Edward Block (SIAM) Fred Stephen Roberta Beresford N. Parlett Mei-chang Shen Leonard Gillman (MAA) (SIAM) Karen Uhlenbeck William J. LeVeque (AMS) David P. Roselle (MAA) Franklin P. Peterson (AMS) Alfred B. Willcox (MAA) Everett Pitcher (AMS), REPRESENTATIVES chairman Advisory Board of the National Translations Center AMS-SIAM Committee on Applied Mathematics of the John Crerar Library Roger W. Brockett 1984 George C. Papanicolaou Ralph P. Boas John Dennis 1982 1983 Norman Lebovitz 1982 Robert S. Warming 1984 Conference Board of the Mathematical Sciences Alan Newell, chairman Andrew M. Gleason 1982 Everett Pitcher 1982 1983 Section A of the American Association for the AMS-SIAM Committee on Mathematics in the Life Advancement of Science (Term expires on January 8) Sciences Felix E. Browder 1983 H. Thomas Banks 1984 Donald Ludwig 1982 Joel E. Cohen 1983 Robert M. Miura, 1984 U.S. National Committee on Theoretical and Applied Frank C. Hoppenateadt chairman Mechanics (Term expires on October 31) 1982 Garrett M. Odell 1983 Joseph B. Keller 1983 Charles S. Peskin 1983 Stuart S. Antman 1984 SIAM-AMS PROCEEDINGS CONTENTS (ISSN 0080-5084) Norma Graham, The visual system does a crude Fourier analysis of patterns Geoffrey ). Iverson and Michael Pavel, Invariant MATHEMATICAL PSYCHOLOGY properties of masking phenomena in psychoacous AND PSYCHOPHYSIOLOGY tics and their theoretical consequences edited by Stephen Grossberg Walter ). Freeman, A neutral mechanism for general ization over equivalent stimuli in the olfactory Understanding the mind and its neural substrates system has long been one of the most challenging and im Ch. von der Malsburg and D. j. Willshaw, Differen portant scientific problems confronting humanity. tial equations for the development of topological Experimental and theoretical progress in this area nerve fibre projections has recently accelerated to the point that our knowl Gail A. Carpenter, Normal and abnormal signal pat edge of brain processes is undergoing a revolutionary terns in nerve cells transformation. This volume contains articles by the Stuart Geman, The law of large numbers in neural invited speakers at a joint American Mathematical modelling Society-Society for Industrial and Applied Mathe Stephen Grossberg, Adaptive resonance in develop matics Symposium on Mathematical Psychology ment, perception and cognition and Psychophysiology in Philadelphia on April 15- Stephen Grossberg, Psychophysiological substrates 16, 1980 at which several of the theoretical ap of schedule· interactions and behavioral contrast proaches to this area were reviewed. M. Frank Norman, Sociobiological variations on a The articles include contributions to a variety of Mendelian theme topics and employ a variety of mathematical tools M. Frank Norman, A "psychological" proof that to explicate these topics. The topics include studies certain Markov semigroups preserve differenti• of development, perception, learning, cognition, in ability formation processing, psychophysiology, and mea R. Duncan Luce and Louis Narens, Axiomatic mea surement. The mathematical tools include algebraic, surement theory stochastic, and dynamical system models and theo David L. Noreen, Optimal decision rules for some rems. Despite this diversity, the reader can discover common psychophysical paradigms an underlying coherence among the papers. Various George Sperling, Mathematical models of binocular concepts and formal laws reoccur in several different vision subjects. Distinct mathematical tools often probe dif Dirk Vorberg, Reaction time distributions predicted ferent levels of the same underlying physical mechan by serial self-terminating models of memory isms. search Showing the conceptual and mathematical inter 1980 Mathematics Subject Classifications (Major headings): connectedness of several approaches to the funda 06, 34, 35, 39, 60, 62, 92. mental scientific problem of understar.ding mind and Volume 13, x + 318 pages brain is a significant contribution of this volume. Its List price $30.00, institutional member $22.50, individual member (AMS or SIAM) $15.00 interdi~ciplinary approach permits a deeper under ISBN 0-8218-1333-1; LC 81-3500 standing of theoretical advances as it formally struc Publication date: August 1981 tures a broad overview of important data. To order, please specify SIAMS/13N Prepayment is required for all AMS publications. Order from AMS, P.O. Box 1571, Annex Station, Providence, Rl 02901, or call toll free 800-556-7774 to charge with Visa or MasterCard. 486 Classified Advertisements rental of houses, and typing SUGGESTED USES for classified advertising are books or lecture notes for sale, books being sought, positions available, exchange or services. unless centering and spac THE RATE IS $.50 per word with a minimum of $5.00. The same ad in 7 consecutive issues is $3.75 per word. Type will be set solid of characters with space at each ing are requested. A centered line of any length or the equivalent in white space is $5.00. 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POSITIONS AVAILABLE CLEVELAND STATE UNIVERSITY, Mathematics Depart ment. Tenure-track or visiting position for Fall 1982. Rank open. If no suitable candidate for a tenure-track appoint· UNIVERSITY EAST CAROLINA ment is available, we shall either hire a visitor for all or part CHAIRPERSON DEPARTMENT OF MATHEMATICS of the 1982-1983 academic year or make no appointment, of The search has been reopened for the position of Chair and advertise the position again in the fall, with hopes person of the Department of Mathematics. Nominations and making an appointment by Fall 1983 at the latest. Ph-D. applications must be received by December 1, 1982, to be together with established record and/or strong potential in assured of consideration. Applicants should submit dossier research required. Field open, but preference will be given with three letters of reference. Candidates must have Ph.D. to people working in areas compatible with the research in mathematics/mathematical sciences and should furnish interests of our faculty. Commitment to excellence in teach evidence of effectiveness in teaching, of ability to lead and ing and broad undergraduate teaching interests are necessary. administer a multifaceted department, and of scholarly Department offers courses through the master's level. Normal achievement involving research, creative activity, publications, teaching load is two courses per quarter. Competitive salary etc. Rank and salary commensurate with qualifications. The and excellent fringe benefits. This position was first adver Mathematics Department has 34 full-time members in mathe· tised in July. Applications will be accepted until a suitable matics, mathematics education, computer science, and statis· candidate is found. Send vita and at least three letters of tics, and offers B.A. in mathematics, B.A. in computer sci· recommendation to: Search Committee, Department of ence, and B.S. in mathematics for preparation of teachers, Mathematics, Cleveland State University, 1983 E. 24th and the master's degree, as well as service courses for all Street, Cleveland, Ohio 44115. An Equal Opportunity university students. Send application to Professor Eugene E. Employer M/F/H. Ryan, Chair, Search Committee, Department of Mathematics, East Carolina University, Greenville, NC 27834; 919-757- Yale University 6121- An AA/EO Employer. Department of Statistics, A tenured position in probability or theoretical statistics to WESLEY AN UNIVERSITY begin 1 July 1983. Outstanding research record and teaching excellence required. Applicants preferred with wide ranging invites applications for a junior Wesleyan University theoretical and applied interests. Yale is an equal opportunity/ Computer Science, within the tenure-track position in affirmative action employer. Contact Professor I. R. Savage, beginning Fall, 1983, possibly Mathematics Department, Chairman, Department of Statistics, Yale University. Box is completely open. The earlier. The area of specialization 2179, Yale Station, 06520. Deadline, 15 October 1982. teaching responsibilities are two courses per semester. Please send vita and three letters of recommendation to: Anthony W. Hager, Mathematics Department, Wesleyan University, Applied Mathematics Middletown, Connecticut 06457. University of Alabama in Birmingham An Equal Opportunity/Affirmative Action Employer. A tenure-track position for teaching and research in applied mathematics. Assistant or Associate Professorship according UNIVERSIDAD DE CONCEPCION (CHILE), invites appli· to qualifications. Any area of applied mathematics will be cations for several tenure-track positions at the Assistant or considered. Departmental members are currently active in Associate Professor level, in the areas of ordinary and partial nonlinear wave dynamics, mathematical modeling and opera· differential equations, optimization, numerical analysis and tions research. UAB is a young and growing urban university applications. Candidates should have Ph.D., research ability students and 7,000 faculty and staff. Birming· in a field of Applied Mathematics, and teaching excellence. with 14,000 a major commercial and industrial center located in Working knowledge of Spanish is desirable. Annual salary ham is having warm summers and mild winters. depends on qualifications and experience ($18,000 to central Alabama and is normally available at 1/3 $36,000). Minimum commitment, two years. Applicants Summer teaching is optional letter of application, resume, and should send vita and two letters of recommendation by of academic salary. Send to Dr. J. Buckley, Mathematics 15 September 1982 to: Head Mathematical Department, three letters of reference of Alabama in Birmingham, Birming· Faculty of Science, Universidad de Concepcion, Casilla 2017, Department, University deadline is january 31, 1983. Concepcion-CHILE; an affirmative action/equal opportunity ham, AL 35294. Application Opportunity Employer. employer. UAB is an Affirmative Action/Equal 487 POSITIONS AVAILABLE WANTED TO BUY SHEPHERD COLLEGE Our library seeks to buy Communications in Statistics Vols. 1-6, Quarterly ). Math. (Oxford) Ser. 1, Vols. 6-9. Tenure-track position in mathematics. Computer science or Send offer to D. Gaier, Math. lnstitut, Arndtstrasse 2, applied mathematics to be emphasized. Commitment to 63 Giessen, West Germany. quality undergraduate teaching. Master's degree in a mathe matical science required. Ph.D. or related experience desir able. Accredited state institution serving 3,100 students, FOR SALE offering baccalaureate and associate degrees. On the Potomac River, sixty-five miles from Washington, DC. Salary competi MATH. REVS. 1940-1981 tive; full fringe benefits. Applications received until position complete with all cumulative index volumes, 24 shelf feet, filled. Affirmative Action/Equal Opportunity Employer. (AMS list price $82,556). Best offer. Steven McAfee, Contact person: Peter Morris, Head, Department of Mathe· 521 Georgina Ave., Santa Monica, California 90402; Tel. matics, Shepherd College, Shepherdstown, WV 25443. (213)395-9697. CALL FOR PAPERS FOR SELECTRIC USERS - Camwil Inc. offers math/Logic typewriter elements to fit either 88 or 96 character machines. A new volume will be published in Calculus of Variations For futher information, contact Camwil, 875 Waimanu St., and its Applications on the occasion of the 200 years from Honolulu, HI or call toll-free 800-367-5675. the death of Leonhard Euler (1783-1983). The volume will consist of research and survey papers Learn about computers. Send $7 for our 50-page workbook, in Calculus of Variations and its importance for the solution the Computer Primer, or write for our free brochure. of concrete problems of the fields of Physics, Mechanics, American Reveille Publishing Company, Box 7436, Chicago Hydrodynamics and in other related subjects. All papers 60680. must provide an insight and analysis of problems of pure and applied mathematics, as well as the opportunity for pub lication of new aspects of scientific problems related to MATH SCI PRESS, 53 jordan Rd., Brookline, MA 02146. Eui~r's discoveries. 617-738-0307. Publisher (32 titles) of cross-disciplinary De.: CONTEMPORARY MATHEMATICS T. J. Rivlin, The optimal recovery of functions (ISSN 0271-4132) N. j. A. Sloane, Recent bounds for codes, sphere packings and related problems obtained by linear programming and other methods G. S. Watson, Three aspects of the statistics of PAPERS IN ALGEBRA, directions ANALYSIS AND STATISTICS E. C. Zeeman, Bifurcation and catastrophe theory edited by Rudolf Lid! Twenty-two of the contributed papers are also in The papers collected in this volume are modified cluded in this volume on specialist topics in algebra, versions of invited lectures and some contributed analysis and statistics. specialist session papers presented at the 21st Sum One of the main strengths of this book is the mer Research Institute of the Australian Mathemati introductory and survey nature of some papers, cal Society held at the University of Tasmania from especially Hirzebruch, Pilz, Rivlin, Sloane, Watson, 12th January until 6th February 1981. Zeeman. Articles of high research value are Curtis The 21st Summer Research Institute covered a and Lehrer, Macdonald, Sloane. The papers by wide range of topics in pure and applied algebra, Delbourgo, Elliott, Mendes-France concentrate on a analysis and statistics. Most of the invited lectures' narrower topic than the other invited papers. Some were of a survey nature and each week of the Insti papers contain expository work (e.g. Pilz, Rivlin, tute was devoted to different subject areas. Invited Zeeman), but the main emphasis is on surveying a lectures reproduced in this volume are: given topic. C. W. Curtis and G. I. Lehrer, Homology representa Individuals might gain an insight into a new tions of finite groups of Lie type field due to the introductory nature of some of the R. Delbourgo, Matrix correlation functions papers. They will also get to know the frontiers of D. Elliott, Some aspects of singular integral equa- current research in some topics. tions-A numerical analyst's viewpoint 1980 Mathematics Subject Classifications: OOA 1 0; 05-06, F. Hirzebruch, Some examples of algebraic surfaces 14-06, 16-06,41-06, 62-06, 94-06 I. G. Macdonald, Lie groups and combinatorics Volume 9, xvi + 400 pages (soft cover) curves List price $20.80, institutional member $15.60, M. 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In addition, in 1982, a subscription to ElMS includes an extra issue {December) prepared for the Employment Register at the January meeting; it contains resumes of job applicants. On preprinted forms mailed every other month, department heads are asked to provide information (by a specified deadline) on open positions, or to state that there are none. A statement that no positions are available may relieve the department of the obligation to answer letters from applicants, thus decreasing the burden of correspondence. Each issue contains descriptions of open positions in academic departments in the U.S. and Canada, a list of academic departments who have stated they have no open positions, a list of academic departments not included above, descriptions of government, industrial and other nonacademic positions in the U.S. and Canada, as well as descriptions of positions available in foreign countries. 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Check one Amount Enclosed ( ) Individual rate, begin with issu..,______$ ______$ ______( ) Student/unemployed rate*, begin with issu."------Please Print Nam~------ Addres~------City______StatefProvin·""------Zip/Cod.,______ *'lb qualify for this rate please complete the following form (check one): [ I I am currently unemployed and actively seeking employment. My unemployed status is not the result of voluntary resignation or retirement from my last position. I am not enrolled in a graduate study program. OR, [ I I am a full-time student enrolled in a program leading to the degree or diploma at ______ (name-please print) 490 WASHINGTON AND LEE UNIVERSITY UNIVERSITY OF GEORGIA Radford Professor of Mathematics HEAD - DEPARTMENT OF MATHEMATICS Applications and nominations are invited for Applications and nominations are invited for the newly endowed Radford Chair of Mathematics the position of Head, Department of Mathematics. to be filled for the first time in September, 1983. Appointment effective July or September, 1983. Applicants for this position will also be eligible for Salary and rank dependent upon qualifications. appointment as Department Head for a five-year Candidate must have Ph.D., or equivalent, in math term. Candidates should possess experience and ematics, a strong background in research, and background appropriate for the rank of full profes commitment to quality teaching. The Head is ex sor and should also have a commitment to liberal pected to provide leadership in maintaining and arts education and to curriculum development in developing programs at the undergraduate and mathematics. graduate levels and to encourage excellence in Washington and Lee University has an all-male teaching and research. The Department of Math undergraduate enrollment of about 1400. The ematics has approximately 50 full-time faculty University is more than two hundred years old and members and offers the Ph.D. degree in mathe is located in Lexington, a town of 5000. Its only matics. graduate component is a School of Law. The The closing date for applications is November Mathematics Department, consisting of seven mem 1, 1982. Applications should include curriculum bers, teaches undergraduate courses in mathematics, vitae and three letters of recommendation. Send computer science and statistics, and offers a major inquiries, nominations, and applications to: in mathematics. Address inquiries and nominations to: Chairman - Department Head Search Committee Department of Mathematics Professor Charles W. Williams University of Georgia Mathematics Department Athens, Georgia 30602 Washington and Lee University The University of Georgia is an Equal Employment Lexington, VA 24450. Opportunity/Affirmative Action Employer. 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(0 47110141-9) 1982 832 pp. $85.00 LINEAR OPERATORS Subscription price: $75.00 Volume 1: General Theory Volume 2: Spectral Theory, Self· GREEN'S FUNCTIONS AND Adjoint Operators in TRANSFER FUNCTIONS Hilbert Space Volume 3: Spectral Operators HANDBOOK Anatoliy G. Butkovskiy, Nelson Dunford & Jacob T. Schwartz Academy of Sciences of the USSR Awarded the American Mathematical Society's prestigious Steele Prize for 1981. This important new work extends the applications of the structural theory of distributed systems to (0 471 86913-9) 1982 2,611 pp. scientific and engineering control problems 3 val. set: $189.00 governed by partial differential equations and Vol. 1: (0 470 22605-6) 1958 872 pp. $64.95 interconnected systems. Vol. II: (0 470 22638-2) 1963 1, 072 pp. $85.00 Vol. Ill: (0 471 22639-4) 1971 667 pp. $72.50 (0 470 27344-5) 1982 237 pp. $64.95 AGRAMMAROFENGUSHON APPLIED FUNCTIONAL MATHEMATICAL PRINCIPLES ANALYSIS Zellig Harris, University of Pennsylvania D.H. Griffel, University of Bristol An original grammar of English in terms of a math This incisive treatment of functional-analytic ematical theory of language based on a partial methods and distribution emphasizes practical ordering on the set of words and mappings of the applications in mechanics, fluid mechanics, sentences that result. diffusive growth, and approximation. (0 471 02958-0) 1982 429 pp. $43.50 (0 470 27196-5) 1981 386 pp. $79.95 GEOMETRIC ALGEBRA APPLYING MATHEMATICS E. Artin A Course in Mathematical Modelling A classic now back in print! Covers the foundations D.N. Burghes, University of Exeter, of affine geometry, the geometry of quadratic forms. ian Huntley, & John McDonald, the structure of the general linear group, projective Paisley College of Technology, Scotland and symplectic geometry, and the structure of the A practical, step-by-step guide to the construction symplectic and orthogonal groups. of mathematical models, teaching readers how to (0 470 03432-7) 1957 224 pp. $32.95 take real-world problems and convert them into mathematical ones. INTRODUCTION TO THE (0 470 27523-5) 1982 175 pp. $49.95 THEORY OF NUMBERS Order from your regular bookdealer, or directly from Harold Shapiro, Courant Institute of the publisher. Dept. 3-6625 Mathematical Sciences, New York University 8o (di\ 8 JOHN WILEY & SONS, Inc. A contemporary introduction to the problems and 1 7 ~ 19 2 605 Third Avenue properties of the integers. Suitable for use in either ·,.,,,,,--· New York, N.Y. 10158 an advanced undergraduate or graduate course. Prices subject to change without notice and (0 471 86737-3) December 1982 higher in Canada. IN CANADA: John Wiley approx. 488 pp. In Press & Sons Canada Limited, 22 Worcester Road, Rexdale, Ontario M9W 1L 1 3-6625 493 Mathematical Reviews Cumulative Index 1973-1979 VOLUMES 45 THROUGH 58 OF MATHEMATICAL REVIEWS This index is available in twelve 9 x 12 inch volumes on acid-free paper or on ap proximately 85 standard 1 05 x 148mm diazo film microfiche. AMY wfifufitm fJctd IUl6 ~~ed flee Ucde" em eilbrt ~apett " ttiUJuJ6ieke at ~ufart ~rdw emt ~~e a 6etAW! eopy em tttUJuJ6iefce bM $53 5. The CUMULATIVE INDEX has the same form as the Annual Index for 1979 as it was generated by the same computer program. The first part, an Author and Key Index, contains 4,860 pages in seven volumes. The entries give full bibliographic information about all items that have been reviewed in MR between January 1973 and December 1979, inclusive. This is over 230,000 entries. In addition, there are entries for about 3,000 items not reviewed in MR for which the editors think bibliographic information should be made available. These have been treated exactly as reviewed items, generally with references to Zentralblatt fiir Mathematik, Referativnyi Zurnal, or other reviewing journals. Items are listed alphabetically by author, those having several authors are listed in full under each author. Surnames of authors are cross-referenced for name changes or variations of spelling. The original entry for which an erratum or other commentary has been reviewed in a subsequent entry is identified. The author index section is estimated to have about 300,000 en tries because of multiple authors. In the Author Index the names of persons associated with an item sub in a capacity other than that of author, e.g., editor, translator, Publication August 1981 ject of a biography, are also listed. ISBN 0-8218-0035-3 The Key Index section of the author index consists of all items for 8,415 Pages which there is no clear author and is about 70 percent cross Twelve Volumes referenced included are proceedings of meetings, tables, obit Soft Cover uaries, biographies, etc. The entries under a given heading (i.e., the author or a title) are List $1 ,070.00 listed in order of publication dates. Co-authored items are treated Institutional Member, $802.50 on the same basis as those by the author alone. Individual Member, $535.00 MR Reviewer, $267.50 The Subject Index, consisting of about 380,000 listings on 3,555 as classified by pages, in five volumes, cover all subject areas SECOND COPY ON FICHE $535. MR. For each item there is one full listing in each subject area in and MR num which it has been classified, with all authors, title Please use code MREVIN/73/79 the ber, if any. Cross-references are given under each author after PREPAYMENT IS REQUIRED first to the original listing. The arrangement of each title entry is that of the heading of the American Mathematical Society original review in MR. Titles in English, French, German, and P.O. Box 1571, Annex Station Italian are usually given as they appeared in the original. Articles Providence, Rhode Island 02901 in other languages are given in English translation. USA 494 Precision. Speed. Accuracy.----, Get all this in your online literature searches-and more ... with lSI/ CompuMath--~m~ ISI®'s new online data base service, ISI/Compu relevant to the specialty. Over 3,000 research fronts are· Math, lets researchers quickly retrieve highly focused available through ISI/CompuMath to date. bibliographies from the core literature of mathemat ics, computer science, statistics, operations research, And included with your ISI/CompuMath 12-month and related disciplines like mathematical physics and subscription ... econometrics. . .. you'll receive 12 monthly issues of Current Con ISI/CompuMath, available from the lSI® Search Net tents®JCompuMath-FREE to 1982 subscribers. This work via Thlenet and Tymnet, indexes over 38,000 printed alerting service reproduces tables of contents articles each year from nearly 360 journals in the from the most recent issues of nearly 360 core journals disciplines listed above-plus selectively covered ar in mathematics, computer science, and related disci ticles from more than 6,000 journals in the sciences, plines. Comprehensive, yet easy to scan, it lets you social sciences, and the arts and humanities. 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DYNAMICAL SYSTEMS AND TURBULENCE: Introduction to the physics and theory of turbulence, dynamical systems approach to turbulence, introduction to bifurcation theory, one-dimensional mappings, Lorenz and Henan examples, hyperbolicity and ergodicity, qualitative theory of Hamiltonian systems. TENTATIVE SPEAKERS Pierre Collet Woods Halley Richard McGehee Charles Conley Daniel Joseph Charles Newman Jean-Pierre Eckmann Oscar Lanford David Sattinger Giovanni Gallavotti Thomas Lundgren Craig Tracy Leonard Gross Persons wishing to attend the Workshop can receive more information by writing to: Ms. Susan Anderson Institute for Mathematics and its Applications University of Minnesota 514 Vincent Hall 206 Church Street S.E. Minneapolis, Minnesota 55455 ~~;.~w.~··~\n'~oNetnent flore career Mean For experienced Technical Professionals, MCI, THE innovator in telecommunications, offers careers where contributions are encouraged and achievements are rewarded. It's this corporate attitude coupled with a team of professionals committed to success that has made MCI a dynamic, thriving winner. Right now, our industry-leading company has outstanding opportunities for experi enced technical staff members in the areas of Engineering and Telecommunications Analysis. If you're a top-ranked professional interested in applying your skills in an equally top-ranked environment, we invite you to join our growing team. For immediate consideration, direct your resume, in confidence, to: Human Resources Department 867, MCI Telecommunications Corporation, 1133 19th Street, Nw, Washington, DC 20036 TELECOMMl.TNICATIONS Mel CORPORATION 496 Introduction to Banach Spaces and their oeometry by BERNARD BEAUZAMY. properties of Hilbert Spaces), and presenting, on a large scale, the geometric Theory of Banach NORTH-HOLLAND MATHEMATICS STUDIES, Vol. 68 Spaces. Notas de Matematica (86), Editor: Leopoldo Nachbin The primary purpose of the book is to get, as soon as possible, into the study of Banach Spaces, and 1982. xii + 308 pages. Paperback. avoid unnecessary developments in Functional Price: US $41.75/Dfl. 90.00 Analysis. ISBN 0·444-86416·4 The main features of the book are: ·a straightforward presentation, attaining In contrast the to the other books already written on essential and avoiding unnecessary digressions; this topic, this work is not intended for specialists · a complete picture of the basic theory of Banach in the field. It is an introductory course, starting spaces; from elementary Analysis (classical general ·all proofs are given in detail; Topology, classical Measure Theory, elementary · exercises are given on each chapter. Algebraic and oeometrlc comblnatorlcs edited by ERIC MENDELSOHN. fields of combinatorics in which Nathan S. NORTH-HOLLAND MATHEMATICS STUDIES, Vol. 65 Mendelsohn, one of the founders of universal algebraic Annals of Discrete Mathematics combinatorics, has distinguished himself. (15), Topics include: Editor: Peter L. Hammer design theory; groups of graphs; finite geometries; latin squares and matching 1982. xiv + 386 pages. Paperback. theory, to mention but a few. Price: US $88.25/Dfl. 190.00 These papers reflect the ISBN 0-444-86365·6 interfacing of combinatorics with geometry (especially finite This book contains fundamental work in those geometries) and universal algebra. Differential Calculus and Holomorphy Real and Complex Analysis in Locally Convex infinite dimensional (locally convex) spaces. Aside Spaces from Banach spaces, the most interesting and usual spaces considered nowadays by JEAN FRAN<;OIS COLOMBEAU. are locally convex spaces with some compactness or NORTH-HOLLAND MATHEMATICS STUDIES, Vol. 64 nuclearity assumption. In these spaces, it has recently been noticed, the Theory of Differential Notas de Matematica (84), Editor: Leopoldo Nachbin Calculus and Holomorphy becomes considerably 1982. xii + 456 pages. Paperback. clearer and deeper. Many "deep" results from the Price: US $65.00/Dfl. 140.00 finite dimensional case remain valid, in general with ISBN 0·444·86397-4 non trivial new proofs, in various subclasses of these spaces. This work presents the Theory of Differential Calculus and Holomorphy in its modern setting of Proceedings of the Herbrand Symposium Logic Colloquium '81 July, 1981. The conference attempted to encompass fifty years of logic and to a large extent this aim edited by J. STERN. was achieved. STUDIES IN LOGIC AND THE FOUNDATIONS OF The proceedings of this meeting include: MATHEMATICS, Vol. 107 . invited lectures on the work of Herbrand, and the 1982. x + 386 pages. role of Herbrand's ideas in the subsequent Price: US $60.50/Dfl. 130.00. development of logic; ISBN 0·444-86417-2 · invited lectures dealing with other topics of current research in mathematical logic (set theory, Fifty years after the death of Jacques Herbrand, a recursion theory, model theory, proof theory, colloquium was held in Marseilles, France, 16·24 computer science). North-Holland Publishing Company P.O. Box 211 - 1000 AE Amsterdam· The Netherlands In the U.S.A. & Canada: Elsevier Science Publishing Co., Inc.· 52 Vanderbilt Avenue· New York, N.Y. 10017 Prices are subject to change without prior notice. 0826 NH Advanced Mathematics from Springer-Verlag Grundlehren der mathematischen Wissenschaften Managing Editors M. Berger • B. Eckmann • S.R.S. Varadhan Finite Groups II & Ill Lectures from Markov Processes to B. Huppert and N. Blackburn Brownian Motion The second and third of a three volume Kai Lai Chung set which constitutes a broad, compre Chung's Lectures constitute a basic text hensive, and in-depth reference to mod on the salient accomplishments of mod ern finite group theory. ern probability theory. Many exercises Finite Groups II are included. 1982 I 531 pp. I Cloth $68.00 1982 I 239 pp. I 3 illus. I Cloth $34.00 Volume 242 Volume 249 ISBN 0-387-10632-4 ISBN 0-387-90618-5 Finite Groups Ill Geometrical Methods In the Theory of 1982 I 454 pp. I Cloth $59.00 Ordinary Differential Equations Volume 243 V.I. Arnold ISBN 0-387-10633-2 The basic ideas and methods applicable to the study of differential equations. Im portant applications are discussed. Ergodic Theory 1982 I 384 pp. approx. I 153 illus. I.P. Cornfeld, S.V. Fomin, Ya.G. Sinai Cloth $36.00 A thorough exposition of the basic con Volume 250 cepts and theorems from "abstract" er ISBN 0-387-90681-9 godic theory, including examples. 1981 I 486 pp. I 8 illus. I Cloth $48.00 Methods of Bifurcation Theory Volume 245 Shui-Nee Chow and Jack Hale ISBN 0-387-90580-4 Presents general bifurcation theory em phasizing analytic methods and appli Theory of Group Representations cations. The material is geared toward M.A. Naimark and A. I. Stern applied mathematicians, engineers, and A clear and complete study of group rep research scientists. resentations, translated from the Rus 1982 I 515 pp. I 97 illus. I Cloth $48.00 sian. Abundant examples, exercises, Volume 251 and references are included. ISBN 0-387-90664-9 1981 I 568 pp. I 3 ill us. I Cloth $59.00 Nonlinear Analysis on Manifolds Volume 246 ~ Mange-Ampere Equations LIJ ISBN 0-387-90602-9 0 0 Thierry Aubin N -.:r Cl' g Cl' N Group Theory I A practical reference and introduction ~ Ill 0 Michie Suzuki which will enable mathematicians and N ...J This translation from the Japanese pre physicists to master nonlinear problems < Cii:: 8 u u~ sents all the necessary material for a thor which arise in Riemannian Geometry. z i= <.) Ill c ough understanding of finite group theory. 1982 I 180 pp. approx. Ill < u :::E "C 1981 I 434 pp. I 2 illus. I Cloth $48.00 Cloth $25.00 (tent.) LIJ ·;;;: Volume 247 Volume 252 -Ill ::J: ...0 ISBN 0-387-10915-3 ISBN 0-387-90704-1 :::E 1- Q,. < < 00~ u :::E -.:r ..c N .... z 1.0 To order write: Springer-Verlag, New York Inc, Dept 55600 .... 0 < >< u 0 P.O. Box 2485 Secaucus, NJ 07094 u "'<.) 02 = ... LIJ 0 :::E d z < c.: