The following letter has been sent to all Ph. D. granting mathematics departments

November 11, 1975

Dear Colleague: The Council of the American Mathematical Society, at its meeting on 19 August 1975, asked me to address a letter to all chairmen of mathematics departments which award the Ph. D. degree, concerning the present employment situation. At present most graduate students working toward a Ph. D. in "pure" mathematics hope for an academic career, and it is likely that the vast majority of these Ph. D. •s will remain dependent on teaching for their long term employment.

You certainly know that new Ph. D. 1s in mathematics have difficulties finding their first academic jobs, and that people have difficulties, perhaps even greater difficulties, in getting a second job. The AMS Committee on Employment and Educational Policy estimates, on the basis of careful studies, that for several years to come, the number of new long term posi­ tions in colleges and universities will be substantially lower than the current production rate of Ph. D.'s in "pure" mathematics. I refer you, for more precise information, to R. D. An­ derson's "Doctorates and Jobs", Notices AMS, November 1974 and to Wendell Fleming's "Future Job Prospects for Ph. D.'s in the Mathematical Sciences", Notices AMS, December 1975. While long term predictions in such matters are sometimes unreliable (the very opti­ mistic predictions in the so-called COSRIMS Report of 1968 were also made by competent people on the basis of careful studies) we must face the present difficulties and the difficul­ ties which we will certainly encounter in the foreseeable future, responsibly. We have re­ sponsibilities to our discipline, to our universities, and to our students. The mathematical profession cannot (and I believe should not) set quotas for the num­ ber of people admitted to Ph. D. studies in order to insure economic security to all holders of the degree. Also, in order that American mathematics should not lose the momentum it now possesses, we must insure the steady influx of highly talented young people into re­ search and teaching. Neither should the present economic difficulties weaken our efforts to attract into mathematics talented young people from groups hitherto underrepresented in scientific endeavor, such as women and blacks. On the other hand, we owe our students complete candor. A young man or woman em­ barking on a program of graduate studies in mathematics should do so in full awareness of the economic difficulties he or she may face, and not expect the Ph. D. to guarantee a rela­ tively easy way of making a living. I believe that this awareness will not deprive our profes­ sion of the best people. After all, most mathematicians now over 60 started their education under even bleaker economic conditions. I urge you, in my name and in the name of the Council, to inform current and prospec­ tive graduate students of the employment situation as shown by the AMS studies and, equally important, of the employment record of recent Ph. D.'s from your own department. To those students who, in spite of the poor employment prospects, are determined to become mathematicians and are qualified to do so, we owe an education which will maximize their chances of gainful professional employment. The Council of the AMS believes that all Ph. D. candidates in "pure" mathematics should be encouraged to achieve flexibility in their response to the employment situation. They can do so by also studying some branch of "ap­ plied" mathematics, or by developing in some other way a considerable breadth in their mathematical and scientific interest. I myself feel that this would, apart from all economic considerations, also make our students better mathematicians, and would even justify the lengthening of the time needed to achieve a Ph. D. Sincerely yours,

Lipman Bers President, AMS

-----~~:>---·~-·--- OF THE AMERICAN MATHEMATICAL SOCIETY

Everett Pitcher and Gordon L. Walker, Editors Hans Samelson, Associate Editor CONTENTS

FUTURE JOB PROSPECTS FOR PH.D's IN THE MATHEMATICAL SCIENCES ..•.••••..•••••••.•.••••.••••••••.•. , • 377 SOME THOUGHTS ON THE ROLE OF APPLICATIONS •••••..•.•• 380 ASSISTANTSHIPS AND FELLOWSHIPS IN MATHEMATICS IN 1976-1977

I. FOR GRADUATE STUDY AT UNIVERSITIES . . • • • • • . . . 381 II. STIPENDS FOR STUDY AND TRAVEL .••••••...• , • • 439 Graduate Support .•••••.•• , •••.•••• 439 Postdoctoral Support •••••••••..•••.• 441 Travel and Study Abroad ••••••••••••• 447 Study in U.S. for Foreign Nationals .•••• 450 Sources of Fellowship Information .••••• 450

TAX STATUS OF GRANTS .•••••••.•. , • • . • • • • • • • • • . • • . • 451 INDEX OF ABSTRACTS, Volume 22 .•.••••.• , .•••••.••• , . A-755 INDEX, Volume 22 .•. , •••.••••••••••.• , ••• , •••••••. A-787 FOREWORD

The seventeenth Special Issue of these c/llotiai) contains lists of assistantships and fellowships available in mathe­ matics and related sciences for the academic year 1976-1977 for graduate study at universities and stipends available for travel and study. Indexes for abstracts and articles published in these c/llotiai) during 1975, and a short article on the tax status of grants are also included. The list of assistantships and fellowships at universities includes 456 departments of mathematics, applied mathe­ matics, statistics, computer science, and related mathematical disciplines; these represent 333 colleges and universi­ ties. Institutions in the United states are listed alphabetically by state, followed by Canadian institutions.

Abbreviations used in the section on graduate study Under the DEGREES AWARDED column the following terms have beed used: Bachelor's by inst. Number of bachelor's degrees awarded by the institution Bachelor's by dept. Number of degrees awarded by the department Master's by dept. Number of master's degrees awarded by the department Ph, D. (1973-1975 incl.) Doctoral degrees awarded during the last three years (1972-1973, 1973-1974, and 1974-1975) A&NT Algebra and Number Theory G&T Geometry and Topology L Logic A&FA Analysis and Functional Analysis P&S Pro babUity and statistics cs Computer Science and Numerical Analysis AM Applied Mathematics

Under the SERVICE REQUIRED column, hours per week section: c Contact hours

Please aft"IX the peel-off label on these cJ{oliui) to correspondence with the Society concerning fiscal matters, changes of address, promotions, or when placing orders for books and journals. The cJ{oliui) of the American Mathematical Society is published by the American Mathematical Society, P. 0. Box 6248, Providence, Rhode Island 02940, in January, February, April, June, August, October, November, and December. Subscription prices for the 1975 volume (Volume 22) are list $14.00, member $7.00. Subscription prices for the 1976 volume (Volume 23) are list $19.00, member $9.50. The subscription price for members is included in the annual dues. Back issues of the cJ{oliui) are available for a two year period only and cost $2.88 per issue list price, $2.16 per issue member price for Volume 21 (1974) and $3.65 per issue list price, $2.74 per issue member price for Volume 22. Orders for subscriptions or back issues must be accompanied by payment and should be sent to the Society at P. 0. Box 1571, Annex Station, Providence, Rhode Island 02901. Other corre­ spondence should be addressed toP. 0. Box 6248, Providence, Rhode Island 02940. Second class postage paid at Providence, Rhode Island, and additional mailing offices.

Copyright© 1975 by the American Mathematical Society Printed in the United States of America FUTURE JOB PROSPECTS FOR PH.D.'s IN THE MATHEMATICAL SCIENCES by Wendell H. Fleming In this article we discuss employment pros- rollments, and on the other by the amount of pects in the United States during the next ten money available for higher education. years (1975-1985) for Ph. D. •s in the mathemati- Course enrollments. The following table cal sciences. Students who begin a Ph. D. program gives the annual number of live births in the in fall 1976 may expect to enter the job market United States from 1950 to 1973, according to during the middle of this period. Most tenure de- the Statistical Abstract of the United States. cisions regarding present junior faculty and those Live Births Live Births now in graduate school who will soon enter col­ Year (in thousands) Year (in thousands) lege teaching will be made before 1985. The term "mathematical sciences" refers 1950 3632 1962 4167 both to pure mathematics and to the areas of ap­ 1951 3823 1963 4098 plied mathematics (operations research, statis­ 1952 3913 1964 4027 tics computer science, physical applications, 1953 3965 1965 3760 etc.'). Currently about 1, 200 new mathematical 1954 4078 1966 3606 science Ph.D, •s per year are produced in the 1955 4104 1967 3521 United States. Roughly half are in pure mathe­ 1956 4163 1968 3502 matics and half in an applied area. In this article 1957 4255 1969 3600 the term "mathematician" will refer to a person 1958 4204 1970 3731 trained in any of the mathematical sciences. We 1959 4245 1971 3559* shall first discuss the academic job market in 1960 4258 1972 3256* some detail. At the end of the article, job possi­ 1961 4268 1973 3141* bilities in industry, government, and in other These data give a close countries will be discussed briefly. approximation to the size of the group of 18-19 year olds for the Job prospects in mathematical science de­ years partments at four-year colleges and universities. 1968 through 1991. It increases at about 2% per year until 1975, is almost stable until For the last few years the total number of mathe­ 1979, then decreases matics faculty has remained nearly constant, at by over 25% from 1980 to 1991. According to a Census Bureau survey, between 17 000 and 18, 000 following a period of col­ rapid exp~sion during the 1960s. No appreciable lege enrollments of full-time student.s were . rather stable during 1971-1974. An mcrease increase in the total is expected during the rest m 1974 followed a decrease the previous of the 1970s; and some decrease is quite possible year. Somewhat under half the 18-19 year during the 1980s. A few departments will continue age group are in college. During 1971-1974 the to expand, some will contract; and some special­ percentage of this group in college declined, with ties (probably in certain areas of applied mathe­ the most notable decreases among men and matics) will be more in demand than others. individuals from middle income families. The percentage Attempts to predict numbers of future job of 18-19 year old women in college held steady. openings, or of promotions to tenured faculty po­ There has been considerable speculation sitions, face several uncertainties. Despite some whether this represents a pennanent reversal hopeful signs mentioned below, there are two of the long­ tenn predictable which will have a negative trend toward ever higher percentages of f~ctors im­ young people pact: (1) College age population numbers are level­ entering college. An argument in favor of this view is the apparent declining eco­ ing off, and will decline during the 1980s; (2) M~the­ nomic value of a college degree, since matics faculties are heavily tenured, and relatively the gap between earnings of high school and college few faculty members will reach retirement age gradu­ ates is closing. On the other before 1985. Even under optimistic assumptions hand, a college education is still held to have great one must expect a difficult academic job market. intrinsic value by a large segment of our Until now around 80% of Ph. D. mathemati­ society. More­ over some young people will elect to continue cians in the United States have been employed by their' education if no reasonable job prospect colleges and universities. The percentage in non­ is in sight. academic employment is higher among recent In mathematics about 70% of all undergradu­ Ph. D. •s, and this percentage is expected to in­ ate enrollments are in elementary courses at the crease further in years to come. If present rates precalculus of Ph. D. production continue, by the 1980s fewer or calculus level. Fewer than 5% of mathematics course enrollments are at than half the new Ph. D. mathematicians in the the gradu­ ate level. United States may expect long tenn academic po­ Mathematics course enrollments rose 4% nationwide from fall 1973 to fall 1974, sitions. An increasing number will follow other after careers either in kinds of employment in industry having changed little the two previous years. A number of departments have reported further or government traditionally held by Ph.D.'s, or in­ creases for fall1975. Freshman engineering in new kinds of jobs which mathematicians can en­ successfully fill. rollments were up 20% in fall 1974, reversing a nationwide drop for several previous years. The academic job market is strongly influ­ Stu­ dents in enced on the one hand by mathematics course en- such fields as business, the social *Preliminary or provisional from 1971 on.

377 sciences, and biology tend to take somewhat more percentage of total academic year salaries for mathematics. There are reports that among in­ mathematics faculty comes from such funds. coming college freshmen mathematical skills have Changes in the level or pattern of federal research fallen; an additional remedial course is often needed. funding might be expected to have a greater im­ Mathematics enrollments overall should at pact on numbers of postdoctoral and other tempo­ least remain stable and perhaps continue some in­ rary research positions for mathematicians, as crease, for the next few years. The National well as on graduate student support. Center for Educational statistics has recently pro­ It seems unlikely that amounts spent on jected numbers of baccalaureate degrees in var­ higher education, measured in constant dollars, ious fields through the early 1980s. The projected will increase much in the near future. state and numbers of degrees are stable in the following sci­ local governments are themselves under severe entific fields: mathematics and statistics, bio­ budgetary pressures, with growing needs in many logical sciences, and social sciences. Definite areas and strong public resistance to further tax increases are projected for computer and informa­ increases. The federal government is running tion sciences, engineering, and psychology, with large deficits, trying to fund programs already a slight decline in the physical sciences. in existence and trying to stimulate a lagging Some departments seek aggressively to in­ economy. The present situation of colleges and crease their share of undergraduate course enroll­ universities has been termed a "new depression ments, by designing courses which appeal to non­ in higher education". Its resolution is linked to mathematics majors and recruiting faculty to the solution of broader economic and social teach them. A sizeable percentage of college grad­ problems facing the nation. uates continue some form of postgraduate educa­ Tenure and job retention. The prospects of tion, with a trend away from programs leading to long term employment for junior faculty are careers in teaching and basic research. Mathe­ closely related to their prospects for obtaining matics may have either an increasing or decreas­ tenure, although tenure and job security are not ing share of graduate enrollments, depending on identical concepts. While promotion to tenure whether or not departments provide programs has often been difficult lately, matters are likely geared to the needs of students expecting to do ap­ to become worse in the years ahead. The basic plied work in industry or government. reason is that nationwide the percentage of mathe­ Funding of higher education. Most colleges matics faculty with tenure has been rising two to and universities in the United States are sorely three percent per year; and this percentage has pressed financially at this time. This makes more reached quite high levels while total numbers of difficult the task of justizying new positions for faculty have changed little. In some kinds of in­ mathematics faculty, even when course enroll­ stitutions there are also significant numbers of ments are up and highly qualified candidates for faculty without formal tenure, but expected to be these positions are available. Some colleges and retained indefinitely. This upward trend in the universities have cut the number of faculty. In percentage tenured cannot continue for many particular, some private institutions have im­ more years; and in fact some leveling off was posed a policy of retrenchment as a matter of observed last year. From current AMS survey continued institutional survival. data it is estimated that between 500 and 600 According to U.S. Office of Education esti­ Ph. D. mathematicians obtained tenure in mathe­ mates, expenditures for education in institutions matical science departments at four-year col­ of higher learning in the fiscal year 1974 were as leges and universities in the United States during the academic year 1974-1975. For 1973-1974 follows: Amounts in Billions of Dollars the number appears to have been higher by Source of Funds Public Private Total around 100. In almost all cases tenure was U.S. Federal Government 3.1 1.9 5.0 granted in the institution where the individual State and Local Govern- was already employed. New appointments which ments 10.6 0.3 10.9 initially carry tenure are no longer common, All other 9.3 9.5 18.8 even for established mathematicians. Total 23.0 11.7 34.7 By around 1980 we may expect neither the total number of faculty nor the percentage of total has increased by around 9% per The tenured faculty to be increasing nationwide. Be­ 1970, following a dramatic increase year since tween 1980 and 1985 the number of tenured posi­ a period of rapidly rising enrollments in during tions available will probably barely exceed the 9% rate of increase has scarcely the 1960s. The of deaths and retirements, no more than and it is number kept up with the overall inflation rate; 250 per year. Institutions are likely to be quite much less than the steep increases in such items cautious about granting tenure in the face of al­ and electricity with which institutions have as heat most certain declines in enrollments during the been faced. Expenditures for higher edu­ recently 1980s. and local governments have in­ cation by state The situation regarding long term employ­ Federal creased at a slightly higher rate. U.S. ment prospects varies somewhat according to expenditures for basic research and Government type of department. We consider separately in colleges and universities have ac­ education three categories: (1) Mathematics Departments since 1972, excluding funds for stu­ tually fallen which grant the Ph. D. ; (2) other mathematical which have substantially increased. dent assistance sciences departments which grant the Ph. D. ; assistance to students does tend to in­ Federal and (3) Departments which grant at most mas­ enrollments, and thus indirectly increases crease ter's degrees. There are about 150 departments the potential demand for mathematics. Federal (2), and many more money for research has a more direct effect, but in each of categories (1) and departments in (3). The percentages of total its impact on numbers of regular faculty positions nationwide in the for mathematicians is not massive. Only a small mathematical sciences faculty

378 three categories are roughly 30%, 10% and 60% member who performs well, unless budgetary re­ respectively. strictions mandate the elimination of his position. (1) Mathematics Departments which grant It is estimated that over 80% of all faculty in these the Ph. D. These departments are over 70% ten­ departments of the rank of assistant professor or ured, if one counts full time faculty of the rank of above are considered permanent. While these de­ assistant professor and above. AMS Survey data partments are an important part of the job market show that the departments ranked among the top for Ph. D. •s, like other departments they are ex­ twenty-seven in the ACE (American Council on pected soon to reach a situation where the number Education) ratings have, as a group, already of new permanent positions scarcely exceeds the reached a nearly constant number of tenured posi­ number opened by death and retirements. tions. Prospects of permanency are generally Other academic employment. It is estimated poor for nontenured faculty currently being hired that last year nearly 100 Ph.D. mathematicians by these departments. On the other hand, nonten­ found positions in colleges or universities outside ured faculty leaving the top twenty-seven rated mathematical science departments. This includes departments have had, up to now, generally good in roughly equal proportions, both new Ph.D. •s success finding other positions. and those already holding the Ph. D. and pre­ There continues to be some increase in the viously employed in a mathematical science de­ number of tenured positions among lower ranked partment. These positions are sometimes in other departments and those Ph. D. granting departments academic departments. Other positions are, for not rated by the ACE. However, when this increase instance, in computing or statistical laboratories. ends one may expect for a period of several years Another 50 or so were hired by two-year colleges no more than about 75 appointments to tenure per or high schools. While these numbers may in­ year, due to replacements, among about 150 Ph.D. crease somewhat, they are too small to have a granting mathematics departments altogether in the large impact on the overall job market for Ph. D.'s. United States. This amounts to only one appoint­ Only about 10% of two-year college mathematics ment to tenure every two years per department, faculty have Ph.D. •s, a much lower figure than on the average. for example in biology. Adult or continuing educa­ Percentages of faculty with tenure in the 80 tion is an area of potential growth. However, such to 85 percent range may not be unreasonable in a programs are likely to be more culturally than steady state situation. Tenure decisions normally scientifically oriented. Relatively few jobs for occur from five to seven years after the Ph. D., Ph. D. mathematicians are likely to develop and tenured faculty serve for some thirty years through them. more before retirement. One needs a pool of as­ Nonacademic employment. Around 250 to sistant professors large enough to provide a con­ 300 Ph. D. mathematicians per year take positions tinued flow of good young tenured faculty, but in government, industry, or nonprofit orgraniza­ small enough to give assistant professors reason­ tions. Somewhat over half of them are new Ph. D. •s. able chances for permanency. The majority, but by no means all, were trained (2) Other mathematical sciences departments in an area of applied mathematics. Manpower which grant the Ph. D. These departments are in projections by the National Science Foundation the areas of statistics, computer and information and the Bureau of Labor statistics predict a slow science, operations research, and other applied but steady increase in nonacademic employment mathematics. In statistics departments, both the by physical scientists, engineers and mathemati­ total number of faculty and the percentage tenured cians. The increase is seen to be partly attri­ (around 65%) have remained fairly stationary re­ butable to openings in traditional research and cently. On the other hand, statistics enrollments development types of work, and partly to new kinds are increasing both at undergraduate and graduate of jobs. Such projections are subject to uncer­ levels; and nonacademic employment prospects tainties about the future state of the economy and for statisticians are good. There may be some ex­ the pattern of research funding by the U.S. Fed­ pansion of statistics department faculties. eral Government. The number of openings for AMS survey data are less complete for other mathematicians also depends on the degree to mathematical science departments. Our data col­ which employers are willing to hire them in com­ lection is complicated by the fact that computer petition with applicants trained in such fields as science and operations research sometimes are physics, electrical engineering, or economics. administratively part of an engineering division. Future growth of nonacademic employment These departments are generally younger with for mathematicians is likely to be selective. fewer than 60% of faculty being tenured. Enroll­ Probable areas of growth include computing, ments have been steadily increasing. Some expan­ operations research, energy-related or health sion in faculty sizes may be expected. On the care-related research, and actuarial work. Most other hand, the number of computer science of those hired may expect to do applied work di­ Ph. D.'s per year has greatly expanded. Competi­ rectly related to current projects. Openings in tion for Ph. D. -level jobs for computer scientists long-range basic research will be few. The job may become keen, despite a greater number of applicant must be prepared to convince the em­ nonacademic opportunities in that field. ployer that he can fill a specific need in the or­ (3) Departments which grant at most mas­ ganization. For some jobs, preference will be ter's degrees. Percentages of Ph. D. •s with tenure given to those whose background identifies them in these departments range from nearly 70% for with a particular field of application. those granting a master's degree down to around Employment outside the United States. Cur­ 55% for those granting only a bachelor's degree. rently about one-fourth of those receiving a Ph. D. However, in both cases there are substantial num­ in the mathematical sciences in the United states bers of faculty formally without tenure who are are citizens of other countries. Most of them are expected to be retained indefinitely. Generally expected to return to positions at home, or in speaking, the tendency is to keep a young faculty other foreign countries. In addition, a few Ph. D. •s

379 who are U.S. citizens have taken positions outside by Canadian institutions. the U.S. Several countries in South America and A final note. Further perspective about the the Middle East are intensively developing higher employment situation may be found in a series of education and have openings. articles by Richard D. Anderson in these cJfoticti), As part of the annual AMS Survey, data are November and December 1973, November 1974, collected from doctorate granting departments in and November 1975. Jn preparing the present Canadian universities. The situation in Canada article the author has drawn freely upon this resembles in many ways the one described above material, together with analyses of AMS Survey for the U. S. Numbers of faculty and course en­ data and other sources. An article by John Jewett rollments have remained stable. Canadian depart­ regarding two~year college employment appears ments are nearly 80% tenured. Canada produces in the October 1974 cJioticeiJ. A lengthier com­ about 90 Ph.D. 1s in the mathematical sciences mentary on the nonacademic job market appears per year, somewhat more than the number of in the April1975 cJfotica). new mathematical science Ph. D.'s per year hired SOME THOUGHTS ON THE ROLE OF APPLICATIONS IN THE DEVELOPMENT OF PH.D.'s IN MATHEMATICS by John A. Nohel Most people are aware of the recent short­ eling wave solutions of semUinear partial differ­ age of jobs for Ph. D.'s in mathematics (particu­ ential equations. These were motivated by and larly in pure mathematics). Many positions cur­ are relevant to research on excitation and propa­ rently available, in both academic and nonacadem­ gation of nerve impulses (Hodgkin-Huxley model), ic institutions, involve some area of application of nonlinear diffusion in population genetics as well mathematics. For this and other reasons, students as gas dynamics; yet, the results and the tech­ should be expanding their knowledge by including niques used are those of pure mathematics. Jn some genuine applications of mathematics as a another thesis, significant results in pure re­ part of their program of study. Jn my opinion, this search on qualitative theory for differential equa­ trend would be one beneficial outco·me of the other­ tions resulted from an understanding of basic wise unhappy situation of a tight market for phenomena in celestial mechanics. Jn a different Ph. D. •s in mathematics. area, techniques of operator and semigroup The simplest and most common way for a theory are used to solve some aspects of an im­ student of pure mathematics (here pure mathemat­ portant problem in genetics. Another thesis is ics includes such "applicable" subjects as proba­ being completed on obtaining precise asymptotic bility and ordinary or partial differential equations) estimates of solutions of certain Volterra inte­ to acquire a significant understanding of some gral equations of renewal type motivated by prob­ area of applications is to take a minor in that area lems in branching processes using methods of as a part of his or her program (just as it has classical analysis. long been a practice among· some graduate students I have not given examples of theses with in the sciences, engineering, applied mathematics, which I have had little or no contact-for instance, and more recently in such areas as economics and algebraic coding theory has various important sociology, to minor in pure mathematics). At the applications and generates interesting open ques­ author's institution, the University of Wisconsin­ tions in algebra. Logicians have for some time Madison, all entering graduate students in mathe­ found applications in computer science a fruitful matics are counseled, but are not required, to do source of new problems. this; most of them have been following this advice These recent experiences have strengthened during the last few years. Jn practical terms of a :my conviction that not only will a significant under­ student's program, this means devoting at least standing of some area of application of mathemat­ twelve semester hours to courses in such an ap­ ics give a student a much broader education in plied area. As a result, recent Ph. D. graduates mathematics (and hence, necessarily will give the in pure mathematics have acquired a minor (and new Ph. D. a better opportunity for employment, in some cases a Master's Degree) in the following both academic and nonacademic), but also that fields: applied mathematics (including the study of this can and must be done without any sacrifice some physical phenomena such as continuum in the quality of the Ph. D. On the contrary, it mechanics, plasmas, etc.), computer science, is my conviction that the overall quality of the statistics, electrical engineering, industrial en­ Ph.D. will increase. Moreover, since approxi­ gineering (in particular operations research), mately SO% of Ph. D. mathematicians in the U.S. theoretical and applied physics, engineering hold positions in an academic environment (this mechanics, biology, sociology, and economics. percentage is expected to decrease-see the arti­ Computer science and statistics were the most cle by W. H. Fleming on pages 377-380), a know­ popular choices. ledge of some area of application of mathematics Without a doubt, these students are not only will help the new Ph. D. significantly in his un­ more broadly trained but, on the whole, the qual­ dergraduate teaching. It will also equip him to ity of their research is at least as high as that of communicate better with colleagues in other Ph. D. •s who pursued the more traditioual program disciplines at his or her new institution. of concentrating all of their graduate work in pure Fiually, as far as industrial employment mathematics. Indeed, in several cases, the theses is concerned, one can hope that mathematicians of these students and their subsequent post-Ph. D. with a broader knowledge and outlook will be research have benefited directly from contact with more useful in industrial positions than was the applications. Two theses were completed recently case in the past, thereby increasing in the long on the existence and asymptotic behavior of trav- run the demand for mathematicians by industry.

380 ASSISTANTSHIPS AND FELLOWSHIPS IN MATHEMATICS IN 1976-1977

FOR GRADUATE STUDY AT UNIVERSITIES

TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of Rnancialallistance amount 9 or 12 if not induclecl houn type (with numloeranflcipatetl1976-1977) in dollan months in stipend ( dollan) per wHk of service ALABAMA Alabama A & M University, Normal35762 DEPARTMENT OF MATHEMATICS AND PHYSICS Applications due: 4/15/76 Bachelor's by inst. 533 Jerry R. Shipman, Chairman Bachelor's by dept. 14 Master's by dept. 7 Teaching Assistantship (1) 2700 9 Yes 23 Teaching, tutoring, etc. Auburn University ,Aubum36830 DEPARTMENT OF MATHEMATICS Applications due* Bachelor's by inst. 2934 L. P. Burton, Head Bachelor's by dept. 32 Master• s by dept. 5 Fellowship (1) 2325 9 Teaching Assistantship (15) 3060-3330 9 183/qtr. 12 Teaching, Ph. D. (1973-1975 incl.) assisting A&NT 7, G&T 6, AM 1. Total: 14 *Fellowships: 2/10/76; Assistantships; 3/10/76. Samford University, Birmingham 35209 DEPARTMENT OF MATHEMATICS Applications due: Open Bachelor• s by inst. 386 W.D. Peeples,Jr., Head Bachelor• s by dept. 4 Master• s by dept. 3 Teaching Assistantship (4) 2000 9 52/hr. 6 Scholarship (1) 1400 9 52/hr. University of Alabama in Birmingham 35294 DEPARTMENT OF MATHEMATICS Bachelor• s by inst. 956 Arthur C. Segal, Chairman Bachelor• s by dept. 15 Master• s by dept. 10 Teaching Assistantship (12-15) 4000-4500 12 800* 5c *In-state. DEPARTMENT OF BIOMATHEMATICS Applications due: Open Bachelor• s by inst. 956 Malcolm E. Turner, Chairman Research Assistantship (5) 4500 12 175/qtr. 20 University of Alabama in Huntsville 35807 DEPARTMENT OF MATHEMATICS Applications due: 4/1/76* Bachelor's by inst. 338 Peter G. Casazza, Chairman Bachelor• s by dept. 12 Master• s by dept. 5 Teachilig Assistantship (10) 3000-4000 9 3 1/2c Teaching *Late applications will be considered if assistantships are available. University of Alabama (Tuscaloosa), University 3541!6 DEPARTMENT OF MATHEMATICS Applications due: 6/1/76 Bachelor• s by inst. 3536 (J. Hobby, Chairman Bachelor• s by dept. 45 Master• s by dept. 6 Teaching Assistantship (15) 2400-3900 9 100/sem. 6 Teaching Ph. D. (1973-1975 incl.) A&NT 2, G&T 4, A&FA 3, Total: 9

DEPARTMENT OF APPLIED STATISTICS Applications due: 3/1/76 Bachelor• s by inst. 3536 Jean D. Gibbons, Chairman Teaching Assistantship (4) 2425-4250 9 600/yr. Teaching ALASKA University of Alaska, Fairbanks 99701 DEPARTMENT OF MATHEMATICS Applications due: 3/15/76 Bachelor's by inst. 284 Robert W. Brown, Head Bachelor• s by dept. 5 Master• s by dept. 2 Teaching Fellowship (5) 4842-5148 9 6 Teaching 381 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 If not lndudod hours typo Aca•mlcyear (with number anticipatod 1976-1977) in dollars months in stipend (dollars) par woek ofHrvice 1974-1975

ARIZONA Arizona State University, Tempe 85281 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor's by inst. 3980 Nevin Savage, Chairman Bachelor's by dept. 41 Teaching Assistantship (37) 3750-4300 9 255/sem. 6c Master's by dept. 16 Ph. D. (1973-1975 incl.) A&NT 4, A&FA 2, CS 2, Other 3. Total: 11 Northern Arizona University, Flagstaff 86001 DEPARTMENT OF MATHEMATICS Applications due: 4/15/76 Bachelor• s by inst. 1800 Richard D. Meyer, Chairman Bachelor• s by dept. 25 Master's by dept. 15 Teaching Assistantship (4) 2700 9 190 13 Teaching University of Arizona, Tucson 85721 DEPARTMENT OF MATHEMATICS Applications due: 3/15/76 Bachelor's by inst. 3214 Hanno Rund, Head Bachelor's by dept. 60 Master' s by dept. 10 Teaching Assistantship (28) 3510-4382 9 * 6c Teaching Ph. D. (1973-1975 incl.) A&NT 1, G&T 1, A&FA 1, P&S 1, AM 2. Total: 6 *Residents: $225; nonresidents: $275.

ARKANSAS Arkansas State University, State University 72467 DEPARTMENT OF MATHEMATICS AND PHYSICS Applications due: 3/15/76 Bachelor's by inst. BOO J. L. Linnstaedter, Chairman Bachelor• s by dept. 25 Teaching Assistantship (6) 2475 9 17/sem. cr.hr.3 Master•s by dept. 8 University of Arkansas, Fayetteville 72701 DEPARTMENT OF MATHEMATICS AND STATISTICS Applications due: 3/15/76 Bachelor• s by inst. 1613 James E. Scroggs, Chairman Bachelor's by dept. 29 Master• by dept. 13 Teaching Assistantship (30) 1650-3500 9 360 6c Teaching s Research Assistantship (1) 3300 9 360 20 Research Ph. D. (1973-1975 incl.) G&T 3, A&FA L Total: 4 CALIFORNIA California Institute of Technology, Pasadena 91125 DEPARTMENT OF MATHEMATICS Bachelor's by inst. 161 W.A.J. LlL'

California Polytechnic State University, San Luis Obispo 93407 DEPARTMENT OF MATHEMATICS Applications due: 3/15/76 Bachelor's by inst. 2075 Charles J. Hanks, Head Bachelor's by dept. 57 Master• s by dept. 13 Graduate Assistantship (4) 1575 9 61-67 fees* 10c Tutoring Part-time Assistant Instructor (10) 1773-2364 9 61-67 fees* 3c Teaching *Nonresidents add $29 per quarter unit up to a maximum of $433. DEPARTMENT OF COMPUTER SCIENCE AND STATISTICS Applications due: 4/10/76 Bachelor• s by inst. 2075 Daniel F. Stubbs, Chairman Bachelor's by dept. 50 Master• s by dept. 8 Teaching Fellowship (5) 2500-3500 9 50/qtr. * 10 *Registration fees.

382 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not included hours type Academic year (with number anticipated 1976-1977) in dollars months in stipend ( dollan) per week of service 1974-1975

California State College, Sonoma 94928 DEPARTMENT OF MATHEMATICS Applications due: 4/15/76 Bachelor• s by inst. 1357 William J. Barnier, Chairman Bachelor• s by dept. 18 Master• s by dept. 5 Assistantship (2-5) 950* 9 Payable by student Teaching *Per semester. Usually 3/15 time instructional position; student must be a graduate student in the department to be eligible. California State University, Fresno 93740 DEPARTMENT OF MATHEMATICS Applications due: 8/76 Bachelor• s by inst. 2689 Robert F. Arnold, Chairman Bachelor• s by dept. 22 Master's by dept. 5 Graduate Assistantship (5) 1530-1836 9 101/sem. 10-12 Teaching California State University, Fullerton 92634 DEPARTMENT OF MATHEMATICS Applications due: 5/1/76 Bachelor's by inst. 2759 Michael H. Clapp, Chairman Bachelor's by dept. 32 Master's by dept. 7 Teaching Assistantship (4-6) 2200-2500 9 74-95 4 Teaching DEPARTMENT OF QUANTITATIVE METHODS Applications due: 8/15/76 Bachelor• s by inst. 2759 LaVerne W. stanton, Chairman Bachelor• s by dept. 24 Master• s by dept. 2 Teaching Assistantship (2) 1200/sem. 9 20 Teaching California State University, Long Beach 90840 DEPARTMENT OF MATHEMATICS Applications due: 6/1/76 Bachelor's by inst. 4462 Thomas McCullough, Chairman Bachelor• s by dept. 67 Master• s by dept. 10 Teaching Assistantship (15) 3600-4000 9 * *Residents: $160 per year; nonresidents: $676 per year. California State University, Los Angeles 90032 DEPARTMENT OF MATHEMATICS Applications due: 7/15/76 Bachelor• s by inst. 3987 Charles L. Clark, Chairman Bachelor• s by dept. 46 Master's by dept. 8 Teaching Assistantship (12) 2535-4190 9 66/qtr. * 4-6 *Nonresidents an additional $29 per unit. California State University, Northridge 91324 DEPARTMENT OF MATHEMATICS Applications due: 9/1/76 Bachelor• s by inst. 3000 William Watkins, Chairman Bachelor• s by dept. 40 Master• s by dept. 5 Teaching Assistantship (7. 5) 306-338 10 77 20 Grading, tutoring Part-time Instructor (20) 366-468 20 77 6 Teaching California State University, Sacramento 95821 DEPARTMENT OF MATHEMATICS AND STATISTICS Applications due: 8/76 Bachelor• s by inst. 2878 Roger W. Leezer, Chairman Bachelor• s by dept. 27 6c Master• s by dept. 4 Teaching Assistantship (6) 1692* 9 ** *Approximately per semester. **Registration fees: up to 3. 9 units $74; 4-7. 9 units $80; 8-11. 9 units $86; 12 or more units $95. u=====cLAREMONT GRADUATE SCHOO:rs==«==='l

u M.A. programs designed to provide the training and experience on which one can base a career in the mathematical ~ sciences are offered in cooperation with the undergraduate Claremont Colleges. The programs are: scientific com­ ~ puting, statistics and operations research, applied mathematics, and two-year-college teaching. An important part of each one is actual experience, through a 'mathematics clinic' which provides work on substantial pl·oblems from n ~ industry (and some financial support for students) m through practice teaching at a nearby two-year college. U The Ph.D. program allows a specialization in functional analysis, applied mathematics, topology, number theory, and ~ n other areas. U Fellowships (about $5000) and, in both programs, tuition waivers (about $2600) are available. The program is small and the experienced faculty can provide close attention to the particular needs and progress of each student. Clare- ~ mont has a desert climate, but is 10 miles from mountain ski slopes and 40 miles from the beach. Facilities include a ~ very good library and computer system. n For information write to: Mathematics Department, n U Claremont Graduate School, Claremont, Califomia 91711 ~ ~======~

383 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AVVARDED of flnandal assistance amount 9 or 12 if not lnctu4ecl hours Academic year (with number anticipated 1976·1977) in dollars months in stipend (dollars) par week 1974-1975 Claremont Graduate School, Claremont 91711 DEPARTMENT OF MATHEMATICS Master• s by dept. 4 Robert W!lliamson, Chairman Ph. D. (1973-1975 incl.) Fellowship (3) 2400 9 A&NT 1, A&FA 2, P&S 1, Tuition Waiver (5) 600 AM 1. Total: 5 SauDiego State University, Sau Diego 92182 DEPARTMENT OF MATHEMATICS Applications due: 5/15/76 Bachelor's by lust. 4848 Edmund I. Deaton, Chairman Bachelor• s by dept. 80 Master• s by dept. 9 Teaching Assistantship (25) 3800-4200 9 * 6c Teaching *$94 per semester plus $650 for nonresidents. San Jose State University, Sau Jose 95192 DEPARTMENT OF MATHEMATICS Applications due: 2/15/76 Bachelor's by inst. 3400 Franklyn B. Fuller, Chairman Bachelor's by dept. 90 Master• s by dept. 10 Teaching Fellowship (5-6) 2300-4600 9 96/sem.* 3-6 Teaching *Nonresidents and foreign students pay an additional $43 per unit. Stanford University, Stanford 94305 DEPARTMENT OF MATHEMATICS Applications due: 1/15/76 Bachelor's by inst. 1600 Robert Osserman, Chairman Bachelor• s by dept. 49 Master's by dept. 9 Fellowship (3) 2400-2600 9 Graduate Assistantship (40)* 2700-3100 9 ** Ph. D. (1973-1975 incl.) i\iiNT 2, G&T 5, L 2, A&FA 12, P&S 6. Total: 27 *Graduate Assistants serve for one quarter as Teaching Fellows, for one quarter as Course Assistants, and for one quarter as Research Assistants. **3 contact hours per week teaching for one quarter; 6 contact hours per week assisting for one quarter; one quarter research with no formal duties.

DEPARTMENT OF COMPUTER SCIENCE Applications due: * Bachelor• s by inst. 1600 Robert W. Floyd, Chairman Master• s by dept. 26 Fellowship (20) 2500-4500 12 Ph. D. (1973-1975 incl.) Teaching Fellowship (12) 1100 *** 20 Teaching Total: 60** Teaching Assistantship (50) 1000-1080 20 Teaching Research Assistantship (50) 3960-4320 12*** 20 Teaching *1/15/76 for Ph. D. Program; 6/1/76 for M.s. Program. **Information by specialization not available. ***Per 3 month quarter.

DEPARTMENT OF OPERATIONS RESEARCH Applications due: 3/1/76 Bachelor> s by inst. 1600 Arthur F. Veinott, Jr., Chairman Bachelor• s by dept. 24 Master• s by dept. 58 Fellowship (12) 2300 9 Research Assistantship (21) 2730 9 up to 20 Research Ph. D. (1973-1975 incl.) Course Assistantship (8) 750 9 4,000 10 Grading Other 29. Total: 29

DEPARTMENT OF STATISTICS Applications due: 3/15/76 Bachelor> s by inst. 1600 Ingram Olkin, Chairman Bachelor> s by dept. 2 Master> s by dept. 30 NSF Fellowship (3) 3600 12 Ph. D. (1973-1975 incl.) Teaching Assistantship }<12) 2700 9 20 Combined Research Assistantship P&S 16. Total: 16 Scholarship University of California, Berkeley 94731 DEPARTMENT OF MATHEMATICS Applications due:* Bachelor• s by inst. 5673 J. L. Kelley, Chairman Bachelor's by dept. 97 Master• s by dept. 65 Fellowship (50) 500-2700 9** Teaching Assistatnship (88) 4626-4707 9 *** 16 Teaching Ph. D. (1973-1975 incl.) Research Assistantship (18)# 3735 9 *** 16 Teaching A&NT 17, G&T 36, L 9, A&FA 24, AM 17, Other 1. Total: 104 *Fellowships:12/1/75; Assistantships: 2/1/76. **$118-$730 per quarter. Some fellowships pay part of fees; some pay all. ***$230-$730 per quarter. Some nonresident assistants may receive waivers for 1 or 2 quarters of nonresident part of fees, $500 per quarter. #Frequently combined with Teaching Assistantships, i.e. , a student will be awarded 2 1/2 quarters of Teaching Assistantship and 1/2 quarter of Research Assistantship.

384 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of Rnancial anlotanco amount 9 or 12 if not induded hours typa Academic year (with number anHclpated 1976·1977) in dollars months In sHpend (dollars) par WHk of service 1974-1975 DEPARTMENT OF ELECTRICAL ENGINEERING AND COMPUTER SCIENCE Applications due: * Bachelor's by inst. 5673 Elwyn Berlekamp, Associate Chairman Bachelor• s by dept. 144 Master• s by dept. 61 Fellowship (21) 2500-3200 9 Teaching Assistantship (20) 4929 9 ** 20 Teaching Ph. D. (1973-1975 incl.) Research Assistantship (40) 3740 ** 20 Research CS 52. Total: 52 Out-of-state Tuition Waivers(50) 500/qtr. ** *Fellowships: 12/1/75; Assistantships: 1/15/76. **$697. 50 plus $1500 for out-of-state students. GROUP IN LOGIC AND THE METHODOLOGY OF SCIENCE Applications due: 12/1/75* Ph. D. (1973-1975 incl.) Charles S. Chihara, Chairman L 6. Total: 6 Fellowship (1) ** Teaching Fellowship (2) *** Teaching Assistantship (3) *** Scholarship ** *Assistantships are granted by Philosophy and/or Mathematics; see their reported deadlines. **Imposs-ible to estimate at this time. ***See Mathematics and Philosophy reports.

University ofCa6fornia, Davis 95616 DEPARTMENT OF MATHEMATICS Applications due: * Bachelor's by inst. 3122 David G. Mead, Chairman Bachelor• s by dept. 57 Master• s by dept. 5 Fellowship (2) 2700-3370 9 ** 20 Research Teaching Assistantship (22) 4707 9 ** 20 Teaching Ph, D. (1973-1975 incl.) Associate in Mathematics (2) 4626-4866 9 ** 20 Teaching A&NT 2, G&T 1, L 1, P&S 3, AM 2. Total: 9 *Fellowships: 1/15/76; Assistantships: 4/15/76. **Fees: residents $670. 50; nonresidents $2170. 50.

University of California, Irvine 92664 DEPARTMENT OF MATHEMATICS Applications due: 2/1/76 Bachelor• s by inst. 1302 Howard L. Resnikoff, Chairman Bachelor• s by dept. 43 Master• s by dept. 4 Fellowship (6) 3387-4887 9 Teaching Assistantship (22) 4707-6207 9 687 20 Teaching Ph. D. (1973-1975 incl.) Research Assistantship (1) 4179-5679 9 20 Research A&NT 1, L 2, A&FA 4, P&S 3. Total: 10 University of California, Los Angeles 90024 DEPARTMENT OF MATHEMATICS Applications due: 12/15/75 Bachelor's by inst. 4414 Henry A. Dye, Chairman Bachelor• s by dept. 188 Master• s by dept. 38 Fellowship (6) 2700 9 500* Ph. D. (1973-1975 incl.) Teaching Fellowship (6) 4707-5580 9 A&NT 13, G&T 4, L 4, Teaching Assistantship (48) 4707-5580 9 A&FA 14, P&S 4, CS 1, AM 9, Other 2. Total: 51 *Nonresident tuition,

DEPARTMENT OF BIOMATHEMATICS Applications due:* Carol M. Newton, Chairman Fellowship (3) 3250 12 684 Teaching Fellowship (1) 4554 9 630 10-15 Scholarship (1) 2700 12 *12/1/75 but varies.

University of California, Riverside 92502 DEPARTMENT OF MATHEMATICS Applications due: 2/1/76 Bachelors by inst. 1009 John de Pillis, Chairman Bachelor• s by dept, 41 Master• s by dept. 11 Fellowship (3) 2700 9 500 Teaching Fellowship (5) 4707 9 500 4-5c Teaching Ph, D. (1973-1975 incl.) Teaching Assistantship (12) 4707 9 500 5-6c Teaching A&NT 3, G&T 1, A&FA 8, Research Assistantship (1) 4980 12 500 P&S 1, AM 1. Total: 14

385 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of flnancial assistance amount 9 or 12 If not inclucled hours type Academic year (with number antkipatecl1976-1977) in dollan months in stipend (dollars) per week of service 1974-1975 University of California, San Diego, La Jolla 92037 DEPARTMENT OF MATHEMATICS Applications due: 1/15/76 Bachelor• s by inst. 1020 Donald W. Anderson, Chairman Bachelor's by dept. 38 Master• s by dept. 11 Fellowship (2) 3378-6158 9-12 Teaching Assistantship (55) 4707 9 226/qtr fees* 4c Teaching Ph. D. (1973-1975 incl.) Research Assistantship (2) 4150-5810 11 226/qtr fees* A&NT 2, G&T 2, L 1, Scholarship (9) fees and/or tuition A&FA 4, P&S 6, CS 1, AM 4, other 1. Total: 21 *Nonresidents pay an additional $500 for tuition. University of California, Santa Barbara 93106 DEPARTMENT OF MATHEMATICS Applications due: 1/15/76 Bachelor's by lnst. 2369 Stephen Simons, Chairman Bachelor's by dept. 36 Master• s Fellowship (2) 2500-2700 9 * by dept. 9 Teaching Assistantship (24+) 4707 9 6c Teaching Community Teaching * Ph. D. (1973-1975 incl.) Fellowship (4) 4707 9 * 6c Teaching A&NT 3, A&FA 6. Total: 9 *$1500 for out-of-state students.

University of California, Santa Cruz 95060 DEPARTMENT OF MATHEMATICS Applications due: 2/76 Bachelor• s by dept. 25 Gerhard Ringel, Chairperson Master• s by dept. 1 Danforth Teaching Fellowship (1) 2950 9 1 qtr. Teaching Ph. D. (1973-1975 incl.) Teaching Assistantship (15) 4900 9 750 20 Teaching A&NT 1, G&T 1, A&FA 1. Total: 3 University of Southern California, Los Angeles 90007 · DEPARTMhNT OF MATHEMATICS Applications due: 3/1/76 Bachelor• s by inst. 1382 H. A. Antosiewicz, Chairman Bachelor• s by dept. 26 Teaching Assistantship (40) 3375-3735 9 6-8 Teaching Master• s by dept. 26 Ph. D. (1973-1975 incl.) A&NT 3, G&T 2, A&FA 3, P&S 2, other 1. Total: 11

GRADUATE MATHEMATICS AT LA JOLLA, CALIFORNIA PROGRAMS: M.S. and Ph.D. degrees are offered in all major fields of pure mathematics, probability, statistics and numerical analysis. Masters Degree Program in Applied Mathematics: a special one to two year course of study in applied and computational mathematics. FINANCIAL AID: Regents Fellowships ($3378-$4128) Research Assistantships ($4150-$5810) Teaching Assistantships ($4707) *San Diego Fellowships ($4758-$6158)

Department of Mathematics UNIVERSITY OF CALIFORNIA, SAN DIEGO La Jolla, California 92039

*For educationally disaduantaged American citizens and California residents.

COLORADO SCHOOL OF MINES GRADUATE STUDY IN MATHEMATICS LOCATION : Golden, Colorado DEGREES: M.S. and Ph.D. FIELDS: Engineering Mathematics MINOR OPTIONS: Statistics, Probability and Operations Research FELLOWSHIPS: Teaching, Research WRITE FOR INFORMATION TO: Dean of the Graduate School or Department of Mathematics Colorado School of Mines Golden, Colorado 80401

386 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of Rnancial assistance amount 9 or 12 if not lnduded hours type Academic year (with numberanticlpatod 1976-1977) in dollars months in stipend (dollars) per week of service 1974-1975

COLORADO Colorado Sehool of Mines, Golden 80401 DEPARTMENT OF MATHEMATICS Applications due: 3/76 Bachelor• s by inst. 264 Robert Walsh, Head Bachelor• s by dept. 24 Master• s by dept. 5 Teaching Assistantship (6) 2700 9 * Teaching Research Assistantship (2) 2700 9 * Research Ph. D. (1973-1975 incl.) AM 1, other 1. Total: 2 *Residents: 12 hours; nonresidents: 18 hours. Colorado State University, Fort Collins 80523 DEPARTMENT OF MATHEMATICS Applications due: 3/15/76 Bachelor• s by !nst. 3003 E. R. Deal, Head Bachelor• s by dept. 29 Master• s by dept. 13 Teaching Assistantship (18) 3150-3600 9 195.50 5 Scholarship (2) tuition & fees Ph. D. (1973-1975 incl.) A&NT 1, G&T 1, A&FA 3, AM 1, Other 2. Total: 8

DEPARTMENT OF COMPUTER SCIENCE Applications due: 3/15/76 Bachelor• s by inst. 3003 B. W. Marschner, Chairman Bachelor• s by dept. 33 Master• s by dept. Teaching Assistantship (5) 300-400 9 917.75 20 * Research Assistantship (5) 300-400 12 917,75 20 *New program.

DEPARTMENT OF STATISTICS Applications due: 3/1/76 Bachelor• s by inst. 3003 Maurice C. Bryson, Acting Chairman Bachelor's by dept. 5 Master• s by dept. 4 Teaching Assistantship (5) 2970-3150 9 195(fees) 16 Teaching Research Assistantship (2) 2970-3150 9 195(fees) 16 Research Ph. D. (1973-1975 incl.) P&S 4. Total: 4 University of Colorado, Boulder 80302 DEPARTMENT OF MATHEMATICS Applications due: 2/1/76 Bachelor• s by inst. 4066 Henry H. Hermes, Chairman Bachelor• s by dept. 72 Master• s by dept. 21 Fellowship (3) 1600-2500 9 Teaching Assistantship (59) 3500-4800 9 * 20 Ph. D. (1973-1975 incl.) A&NT 7, G&T 4, L 4, A&FA 5, P&S 1, CS 1, *$27 per credit for residents after first year as Teaching Assistant. Other 1. Total: 23

University of Colorado, Denver Center, Denver 80203 MATHEMATICS DISCIPLINE Applications due: 3/15/76 Bachelor• s by inst. 310 Collin J. Hightower, Chairman Bachelor's by dept. 22 Master• s by dept, Teaching Assistantship (7) 3500 9 * 6 Teaching 2 *Up to 9 hours tuition free per semester. University of Denver, Denver 80210 DEPARTMENT OF MATHEMATICS Applications due: 4/15/76 Bachelor• s by inst. 900 William Dorn, Chairman Bachelor• s by dept. 14 Master• s by dept. 4 Fellowship (1) 3100 12 70/qtr, hr. Teaching Assistantship (11-12) 2500-2900 9 10 Teaching Ph. D. (1973-1975 incl.) Scholarship (2) Tuition only A&FA 3, AM 2. Total: 5 University of N orthem Colorado, Greeley 80639 DEPARTMENT OF MATHEMATICS Applications due: 2/28/76 Bachelor• s by inst. 1487 Donald D. Elliott, Chairman Bachelor• s by dept. 20 Master• s by dept. 6 Fellowship (1) 2500 9 yes Teaching Assistantship (6) 2900-3200 9 Ph. D. (1973-1975 incl.) * A&NT 1, G&T 2, A&FA 5, AM 1, Other 9. Total: 18 *In-state $110 per quarter, plus fees and insurance; out-of-state $221 per quarter plus fees and insurance. DEPARTMENT OF RESEARCH AND STATISTICAL METHODOLOGY Applications due: 3/31/76 Bachelor• s by inst. 1487 Samuel R. Houston, Chairman Master• s by dept. 4 Teaching Fellowship (1)* 2112 9 6 Teaching Ph. D. (1973-1975 incl.) 14 Research Other 18. Total: 18 Research Assistantship (3)** 2112 9 20 Research Misc. Research Grants (2) 2112 9 20 Research *Research & Statistical Methodology Department **Bureau of Research

387 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial auhtance amount 9 or 12 H not Included hours type Acaclemlc-r (with number antlcipatad 1976·1977) In dollars months in stlpond ( clallars) par wook of•rvlce 1974-1975 Western State CoUege, Gunnison 81230 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor's by lnst. 408 William E. Dorgan, Chairman Bachelor's by dept, 9 Master's by dept, 2 Assistantship (2) 1800 9 * 7.5 *In-state $507; out-of-state: $1500, including fees.

CONNECTICUT Central Connecticut State College, New Britain 06050 DIVISION OF MATHEMATICS Applications due: 7/15/76 Bachelor's by inst. 1694 Richard L. Mentzer, Director Bachelor• s by dept, 70 Teaching Assistantship (2) 2000 9 122/sem. 6 Master• s by dept, 31

University of Connecticut, Storrs 06268 DEPARTMENT OF MATHEMATICS Applications due: 5/1/76 Bachelor• s by inst. 3208 John V. Ryff, Head Bachelor• s by dept, 43 Fellowship (10) 800-1200 * Master• s by dept, 7 Teaching Assistantship (16) Ph. D. (1973-1975 incl.) G&T 1, L 1, A&FA 1, Total: 3 *Tuition per semester: In-state $175; out-of-state $475. University fees of $200 and $275 each semester are also charged, Fellowship funds are used to help offset these charges to Teaching Assistants.

DEPARTMENT OF STATISTICS Applications due: 3/15/76 Bachelor• s by lnst. 3208 Gottfried E. Noether, Head Bachelor's by dept, 2 Master• s by dept, 3 Fellowship (2) 2000-2500 9 734* Teaching Fellowship (4) 3000-3400 9 734* 5 Teaching, Ph. D. (1973-1975 incl.) grading P&S 4, Total: 4 Teaching Assistantship (4) 3840-4770 9 734* 10 Teaching, Grading *Non-New England States: $1234,

Wesleyan University, Middletown 06457 DEPARTMENT OF MATHEMATICS Applications due: 3/15/76 Bachelor's by inst. 394 A. W, Hager, Chairman Bachelor's by dept, 7 Assisting, Master• s by dept, 2 Teaching Assistantship (13) 2750-3050 9 10 research Ph. D. (1973-1975 incl.) Summer support (10) 600 2 10 Affi 1, G&T 5. Total: 6

Yale University, New Haven 06520 DEPARTMENT OF MATHEMATICS Applications due: 1/19/76 Bachelor's by inst. 1134 George B. Seligman, Chairman Bachelor's by dept. 38 Master• s by dept. 14 Full or partial support available for most students. Ph. D. (1973-1975 Incl.) Affi 12, G&T 8, L 5, A&FA 5, other 1, Total: 31

DEPARTMENT OF COMPUTER SCIENCE Applications due: 1/20/76 Bachelor' s by lnst. 1134 Martin H. Schultz, Chairman Bachelor's by dept. 11 Master• s by dept. 2 Fellowship (1) 3600-5400 12 10-20 Research Teaching Fellowship (15) 3060-6120 9 10-20 Teaching Ph. D. (1973-1975 Incl.) Research Assistantship (20) 450-3900 12 10-20 Research CS 3. Total: 3 Scholarship (10-12) 450-3900 12 10-20 Research

DEPARTMENT OF STATISTICS Applications due: 1/20/76 Bachelor's by inst. 1134 J.A. Hartigan, Chairman Master• s by dept. 3 Fellowship (12) 1500-6550 9 Ph. D. (1973-1975 incl.) Research Assistantship (3) 3900 9 P'&S'5. Total: 5 DELAWARE

University of Delaware, Newark 19711 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor• s by inst. 2116 Ivar Stakgold, Chairman Bachelor• s by dept, 38 Master's by dept. 8 Fellowship (3) 3050 9 Teaching Assistantship (25) 3050-3550 9 15 Ph. D. (1973-1975 incl.) A&NT 1, G&T 1, A&FA 2, AM 3, Total: 7

388 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of ftMncial assistance amount 9 or 12 if not included hours lypa Academic year (with number anticipatotl I 976-I 977) in dollars months in stipend (dollars) per WHk of service 1974-1975

DEPARTMENT OF STATISTICS AND COMPUTER SCIENCE Applications due: 3/15/76 Bachelor' s by inst. 2116 James F. Leathrum, Chairman Bachelor• s by dept. 25 Master• s by dept. 6 Fellowship (3) 4000-50(!0 9 20 Research Teaching Assistantship (11) 3050-3350 9 15c Teaching Ph. D. (1973-1975 incl.) P&S 2, CS 1. Total: 3 DISTRICT OF COLUMBIA American University, Washington 20016 DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE Applications due: 2/15/76 Bachelor• s by inst. 1545 DavidS. Crosby, Chairman Bachelor• s by dept. 32 Master• s by dept, 14 Fellowship (3) 2700-3000 9 Research Teaching Fellowship (9) 2700-3000 9 15-20 Teaching, Ph. D. (1973-1975 incl.) research A&FA 1, P&S 3, CS 1, AM 1. Total: 6 CathoDe University of America, Washington 20064 DEPARTMENT OF MATHEMATICS Applications due: 4/1/76 Bachelor• s by inst. 560 John N. Welch, Chairman Bachelor• s by dept. 10 Master• s by dept, 11 Teaching Assistantship (3) 2400 9 10 Teaching Ph. D. (1973-1975 incl.) A&FA 7, P&S 3. Total: 10 Georgetown University, Washington 20057 DEPARTMENT OF MATHEMATICS Applications due: 2/15/76 Bachelor• s by inst. 1131 John Lagnese, Chairman Bachelor• s by dept. 11 Teaching Fellowship (5) 2800 9 3c Teaching Master• s by dept. 4 Ph. D. (1973-1975 incl.) A&FA 2. Total: 2 George Washington University, Washington 20052 DEPARTMENT OF MATHEMATICS Applications due: 2/15/76 Bachelor's by inst. 1800 David Nelson, Chairman Bachelor• s by dept. 6 Master• s by dept. 19 Fellowship (8-10)* 600-1000 9 Teaching Assistantship (8-10)* 2000-2400 9 6c Teaching Ph. D. (1973-1975 incl.) A&FA 1, Other I, Total: 2 *The same person may hold both a fellowship and teaching assistantship.

DEPARTMENT OF OPERATIONS RESEARCH Applications due: 3/1/76 Bachelor• s by inst, 1800 W. H. Marlow, Chairman Master• s by dept, 25 Research Assistantship (9) 4400-8285 9 96/sem.hr. 20 Research Ph. D. Other 12. Total: 12

DEPARTMENT OF STATISTICS Applications due: 2/15/76 Bachelor• s by inst. 1800 Jerome Cornfield, Chairman Bachelor• s by dept. 6 Teaching Fellowship (7) 2800 9 20 Teaching Master• s by dept. 4 Ph. D. (1973-1975 incl.) P&S 11. Total 11 Howard University, Washington 20059 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76* Bachelor• s by inst. 520 James A. Donaldson, Chairman Bachelor' s by dept. 8 Master• s by dept. 4 Fellowship (1) 3000 Teaching Assistantship (12) 4043 9 771.50 15c *Late applications will be considered. oacaaaaacccaacacaccacaccaccccaccccaccacccccccacccQCCCCCCCCCCCCCCCCQ UNIVERSITY OF DELAWARE DEPARTMENT OF MATHEMATICS GRADUATE PROGRAMS IN PURE AND APPLIED MATHEMATICS (M.S. and Ph.D.) The Department's relatively small faculty (25 members at present) has traditionally given a great deal of indi­ vidual attention to graduate students. The Department has good relations with neighboring industrial and government institutions having mathematical interests. The Institute of Mathematical Sciences, under the Directorship of R. P. Gilbert, has recently been established to enable professional mathematicians and users of mathematics to collaborate on inter­ disciplinary projects. The University is located in a pleasant suburban community about midway between New York and Washington. Send applications to: lvar Stakgold, Chairman Department of Mathematics UNIVERSITY OF DELAWARE Newark, Delaware 19711

389 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not included houn type Academic year (with number anticipated 1976·1977) in dollars months in stipend (dollars) per week of service 1974-1975 FLORIDA Florida Atlantic University, Boca Raton 33432 DEPARTMENT OF MATHEMATICS Applications due: 4/1/76 Bache! or• s by inst. 1600 Roy B. Levow, Chairman Bachelor• s by dept. 10 Master• s by dept. 4 Teaching Assistantship (2) 2000-2400 9 * 4c Teaching *Residents: $16. 50 per credit; nonresidents: $40. 50 per credit. Florida Institute of Technology, Melbourne 32901 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 3/31/76 Bachelor• s by inst. 298 D. R. Clutterham, Head Bachelor• s by dept. 22 _ c Master• s by dept. 24 Teaching Assistantship (6-10) 3500 15 5 7

Florida State University, TaUahassee 32306 DEPARTMENT OF MATHEMATICS Applications due: 2/1/76 Bachelor• s by inst. 3907 Charles W. McArthur, Chairman Bachelor• s by dept. 44 Master• s by dept. 8 Fellowship (4) 3000-4000 12 20/hr. Teaching Assistantship (18) 3450-3650 9 20/br. * 20 Teaching Ph. D. (1973-1975 incl.) Research Assistantship (6) 3450-4850 9 or 12 20/br. * 20 Research A&NT 8, G&T 5, A&FA 3, AM 2. Total: 18 *Plus $37 per hour nonresident tuition unless waived.

DEPARTMENT OF STATISTICS Applications due: 2/1/76 Bachel or• s by inst. 3907 Ralph A. Bradley, Head Bachelor• s by dept. 6 Master• s by dept. 15 Fellowship (9) 3900-10000 12 Teaching Assistantship (12) 3600-4200 12 20/cr. hr. 15 Teaching Ph. D. (1973-1975 incl.) Research Assistantship (6) 3600-4200 12 20/cr.hr. 15 Research P&S 20. Total: 20 Florida Technological University, Orlando 32816 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 3/1/76 Bachelor• s by inst. 1481 Terry J. Frederick, Chairman Bachelor• s by dept. 35 Master• s by dept. 5 Teaching Assistantship (2) 2700-3600 9 Regular 20 Out-of-state Tuition Waiver (3-5) University of Florida, Gainesville 326ll DEPARTMENT OF MATHEMATICS Applications due: 2/15/76 Bachelor• s by inst. 4687 A. R. Bednarek, Chairman Bachelor• s by dept. 22 Master• s by dept. 7 Fellowship (2) 3120 9 * Teaching Assistantship (42) 3200 9 * 6 Teaching Ph. D. (1973-1975 incl.) A&NT 3, G&T 5, A&FA 4, AM 1, Other 1. Total: 14 *$20 per credit hour for all graduate courses except research hours which are $22.

DEPARTMENT OF STATISTICS Applications due: 3/15/76 Bachelor• s by inst. 4687 William Mendenhall, III, Chairman Bachelor• s by dept. 5 Master's by dept. 7 Fellowship (1) 3000-3900 9 200* Teaching Assistantship (10) 2900-4400 9 200* 15/20 Teaching, Ph. D. (1973-1975 incl.) grading P&S 11. Total: 11 Research Assistantship (7) 2900-4400 9 200* 15/20 Consulting *Out-of-state fee waiver included. University of Miami, Coral Gables 33124 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor• s by inst. 1342 David Hertzig, Chairman Bachelor• s by dept. 14 Master• s by dept. 8 Fellowship (3) 2000-3500 9 Research Teaching Assistantship (24) 2700-3300 9 6c Teaching Ph. D. (1973-1975 incl.) A&NT 3, A&FA 2. Total: 5 University of South Florida, Tampa 33620 DEPARTMENT OF MATHEMATICS Applications due: 3/15/76 Bachelor• s by inst. 3608 M. N. Manougian, Chairman Bachelor• s by dept. 34 Master• s by dept. 6 Teaching Assistantship (25) 3200-3600 9 20/br. Teaching Ph. D. (1973-1975 incl.) A&FA 1, P&S 2, AM 2. 'T'otal: 5 University of West Florida, Pensacola 32504 DEPARTMENT OF MATHEMATICS AND STATISTICS Applications due: Open Bachelor• s by inst. 1275 Donald R. Byrkit, Chairman Bachelor• s by dept. 14 Master• s by dept. 12 Fellowship (10) 200 3 20/qtr. hr. Teaching Assistantship (3) 1000-2048 9 20/qtr. hr. 6-13 Tutorial/ grading 390 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED

of financial assistance amount 9 or 12 if not included hours type Academic year (with number anticipated 1976-1977} in dollars months in stipend (dollars) per week of service 1974-1975 GEORGIA Emory University, Atlanta 30322 DEPARTMENT OF MATHEMATICS Applications due: 2/15/76 Bachelor• s by inst. 616 John M. Palms, Acting Chairman Bachelor• s by dept. 18 _ Teaching orMaster• s by dept. 16 Teaching Assistantship (16) 1800-3000 9 8 12 assisting Ph. D. (1973-1975 incl.) faculty A&NT 2, G&T 3, A&FA 3, member Other 1. Total: 9

Georgia Institute of Technology, Atlanta 30332 SCHOOL OF MATHEMATICS Applications due: 3/1/76 Bachelor• s by inst. 1231 John D. Neff, Director Bachelor's by dept. 23 Master's by dept. 5 Fellowship (1) 5000 12 208. 50/qtr. * Teaching Assistantship (35) 3150-3600 9 208. 50/qtr. * 5c Teaching Ph. D. (1973-1975 incl.) A&FA 2, AM 3. Total: 5 *Depends on credit hours taken, figure listed is the maximum including all fees.

DEPARTMENT OF INFORMATION AND COMPUTER SCIENCE Applications due: 3/15/76 Bachelor's by inst. 1231 Vladimir Slamecka, Director Bachelor's by dept. 20 Master's by dept. 48 Fellowship (3)* 5000 12 206/qtr. Teaching Assistantship (6) 3000-3600 12 206/qtr. 13 Teaching Ph. D. (1973-1975 incl.) Research Assistantship (6) 3000-3600 12 206/qtr. 13 Research CS 12. Total: 12 Scholarship (3)** 3000-3600 12 562/qtr. Out-of-State Tuition Waver (3) 1424 12 206/qtr. HEW Traineeship (5)*** 3900 12 *Georgia Institute of Technology President's Fellowship. Awarded to first year Ph. D. students only. **2-Burroughs (M.S.); 1-IBM (Ph. D.) ***Biomedical Option. Restricted to U.S. citizens and normally reserved for Ph. D. students.

GRADUATE TEACHING ASSISTANTSHIPS FOR FALL 1976 Stipends $2700-3300 plus tuition remission. Ph.D. program in pure mathematics. Masters programs in pure and applied mathematics, numerical analysis, computer science, and statistics. Department of Mathematics UNIVERSITY OF MIAMI P. 0. Box 249085 Coral Gables, Florida 33124

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programs leading to the M.A. and Ph.D. degrees in most areas of pure and applied mathematics and statistics. Interdisciplinary programs with the colleges of engineering and medicine are also available. The Graduate Program has a low student/teacher ratio with a young and active research faculty. I The numerous seminars contribute to a stimulating env1ronment for graduate study. I Teaching Assistantships are available for 1976-77. Stipends range from $3,200 to $3,600. For information and application forms, write to: DR. M. N. MI\NOUGIAN, Chairman J DEPI\RTf.IENT OF MATHEMATICS I UNI~;~~;~YF~~r~~~TH 3 ~~~~IDA ~...... O""~~~ ...... o""~~..r.....-....o""~~...,...... r.....o""'~

391 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not included hours type Academic year (with number anticipated 1976·1977) indollan months in stipend ( dolla11) par wHk of service 1974-1975

Georgia State University, Atlanta 30303 DEPARTMENT OF MATHEMATICS Applications due: 8/20/76 Bachelor's by inst. 1915 Jan List Boal, Chairman Bachelor• s by dept. 41 Master's by dept. 16 Research Assistantship (4) 1800 9 11/qtr. 9-12 Directed research Ph. D. (1973-1975 incl.) Other 1. Total: 1 University of Georgia, Athens 30002 DEPARTMENT OF MATHEMATICS Applications due: 2/15/76 Bachelor• s by inst. 3631 James C. Cantrell, Acting Head Bachelor's by dept. 25 Master• s by dept. 4 Teaching Fellowship (6) 2825-3025 9 204/qtr. Teaching Teaching Assistantship (23) 2825-3025 9 204/qtr. Teaching Ph. D. (1973-1975 incl.) A&NT 3, G&T 7, A&FA 3, AM 1. Total: 14

DEPARTMENT OF STATISTICS AND COMPUTER SCIENCE Applications due: 2/15/76 Bachelor's by inst. 3631 Carl F. Kossack, Head Bachelor• s by dept. 24 Teaching Assistantship (7) 2825-3025 9 615 5c Teaching Master• s by dept. 2 Research Assistantship (10) 2825-3025 9 615 13 Research Ph. D. (1973-1975 incl.) P&S 6. Total: 6 West Georgia College, Carrollton 30117 DEPARTMENT OF MATHEMATICS & COMPUTER SCIENCE Applications due: 4/1/76 Bachelor's by lnst. 792 C. R. Pittman, Chairman Bachelor• s by dept. 16 Master• s by dept. 4 Teaching Assistantship (2) 1500 9 11/qtr.hr. 10 Lab. Assistant HAWAII University of Hawaii, Honolulu 96822 DEPARTMENT OF MATHEMATICS Applications due: 2/1/76 Bachelor's by inst. 3176 Adolf Mader, Chairman Bachelor• s by dept. 48 Teaching Assistantship (11) 4200-4692 9 20 Teaching Ph. D. (1973-1975 incl.) A&NT 1, A&FA 1. Total: 2

DEPARTMENT OF INFORMATION AND COMPUTER SCIENCES Applications due: 2/1/76 Bachelor's by inst. 3176 W. Wesley Peterson, Chairman Master• s by dept. 17 Teaching Assistantship (2) 4200-4692 9 20 Research Assistantship (4) 4920-5484 11 20

DEPARTMENT OF PUBLIC HEALTH SCIENCES Applications due: 7/30/76 Bachelor's by inst. 3176 C. S. Chung, Chairman Master's by dept. 7 Teaching Assistantship (1) 4200-4692 9 1/2 time IDAHO Idaho State University, Pocatello 83209 DEPARTMENT OF MATHEMATICS Applications due: 3/15/76 Bachelor• s by inst. 635 Thomas L. Williams, Acting Chairman Bachelor's by dept. 7 Master• s by dept. 3 Fellowship (3) 2940 10 Full-time student Teaching Fellowship (4) 2760 10 5c University ofldaho, Moscow 83843 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor• s by inst. 1057 Howard E. Campbell, Chairman Bachelor• s by dept. 18 Master• s by dept. 10 Teaching Assistantship (11) 3040-3400 9 6c Teaching Ph. D. (1973-1975 incl.) A&NT 1, G&T 3, A&FA 1. Total: 5 ILLINOIS Bradley University, Peoria 61606 DEPARTMENT OF COMPUTER SCIENCE Applications due: 2/15/76 Master• s by dept. 6 Herbert A. Morris, Chairman Teaching Assistantship (1) 2200 9 18 Research Assistantship (1) 2200 9 18

392 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of flnandalauiltance amount 9 or 12 if not included hours type Aca.mlcyear (with numloer anHclpatetll976·1977) indollan months in stipend ( dollan) per wHit ofHrvk:e 1974-1975 DePaul University, Chicago 60614 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: Open Bachelors by inst. 1100 Y. F. Wong, Chairman Bachelor• s by dept. 35 Masters by dept. 4 Teaching Assistantship (4) 2200 9 6 Eastern Illinois University, Charleston 61931 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor• s by inst. 1200 Alphonso J. DiPietro, Chairman Bachelor• s by dept. 60 Master• s by dept. 10 Tea.ching Assistantship (10) 2700 9 Graduate Assistantship (4) 1890 9 Tutoring, computer programming, library lllinois Institute of Technology, Chicago 60616 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor• s by inst. 426 Platon C. Deliyannis, Chairman Bachelor• s by dept. 23 Master s by dept. 9 Fellowship (1) 2400-3700 12 Teaching Assistantship (4) 2500-3000 9 6-7c Teaching Ph. D. (1973-1975 incl.) Scholarship (1) A&NT 6, G&T 3, A&FA 6, P&S 1, AM 1. Total: 17

Illinois State University, Normal61761 DEPARTMENT OF MATHEMATICS Applications due: 6/76 Bachelor• s by inst. 3393 Robert K. Ritt, Chairman Bachelors by dept. 68 Master• s by dept. 12 Teaching Assistantship (10) 2520-3240 9 12 Loyola University, Chicago 60626 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 5/1/76 Bachelor• s by inst. 960 J. Richard VandeVelde, Chairman Bachelor s by dept. 32 Master• s by dept. 2 Research Assistantship (4) 2300 9 3-6c Teaching Northeastern Illinois University, Chicago 60625 DEPARTMENT OF MATHEMATICS Applications due: 6/1/76 Bachelor• s by inst. 1323 Tony Patricelli, Chairman Bachelor• s by dept. 34 Master• s by dept. 10 Teaching Assistantship (3) 2520 12 9-11c Teaching Northern Illinois UDiversity, DeK alb 60115 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 3/1/76 Bachelor• s by inst. 3900 C. E. Hardgrove, Acting Chairman Bachelor• s by dept. 120 Master• s by dept. 25 Teaching Assistantship (40) 2860-4180 11 12 Teaching Northwestern University, Evanston 60311 DEPARTMENT OF MATHEMATICS Applications due: 2/2/76 Bachelor• s by inst. 861 Daniel Zelinsky, Chairman Bachelors by dept. 32 Master• s by dept. 11 Teaching Fellowship (34) 3000 9 12 Ph. D. (1973-1975 incl.) A&NT 4, G&T 11, A&FA 5, P&S 1, AM 6, Other 1. Total: 28 Roosevelt University, Chicago 60605 DEPARTMENT OF MATHEMATICAL SCIENCES Bachelors by inst. 850 Jack Silber, Chairman Bachelors by dept. 30 Masters by dept. 30 Research Assistantship (1) 2000 9 10 Scholarship (2) Tuition 9 Group Tutor or Computer Lab Assistantship (1) 700 9 1000 10 Sangamon State University, Springfield 62708 DEPARTMENT OF MATHEMATICAL SYSTEMS Applications due: 5/15/76 Bachelor• s by inst. 384 M. K. Yntema, Program Coordinator Bachelor• s by dept. 8 Master• s by dept. 2 Research Assistantship (1) 2700 9 19. 50 fees 20 Research Southern lllinois University, Carbondale 62901 DEPARTMENT OF MATHEMATICS Applications due: 2/1/76* Bachelors by inst. 4170 Neal E. Foland, Chairman Bachelor• s by dept. 32 Master• s by dept. 13 Fellowship (2) 3245-3465 11 ** Teaching Assistantship (20) 2970-3240 9 ** 6° Teaching Ph. D. (1973-1975 incl.) Graduate Assistantship (5) 3630-3960 11 ** 6c Teaching A&NT 2, A&FA 2. Total: 4 *Late applications for assistantships will be accepted. **$62. 50-$70 for fees per semester. 393 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not Included hours type Academic year (with number anticipated 1976·1977) in dollars months in stipend (dollars) per week of service 1974-1975

DEPARTMENT OF COMPUTER SCIENCE Applications due:* Bachelor• s by inst. 4170 A. M. Mark, Chairman Bachelor• s by dept. 7 Master• s by dept. 6 Fellowship (2) 3245-3465 11 ** Teaching Assistantship (8) 3630-3960 11 ** 6c Teaching Research Assistantship (2) 3630-3960 11 ** 15-20 Program­ ming *Fellowships: 2/1/76; Assis'tantships: 4/1/76. **$62. 50-$70 fees Southern Illinois University-Edwardsville 62025 DEPARTMENT OF MATHEMATICS Applications due: 3/15/76 Bachelor's by inst. 1202 Norval D. Wallace, Chairman Bachelor• s by dept. 22 Master• s by dept. 8 Teaching Assistantship (20) 3060-3330 9 20 Teaching University of Chicago, Chicago 60637 DEPARTMENT OF MATHEMATICS Applications due: * Bachelor's by dept. 21 Felix Browder, Chairman Master's by dept. 21

Fellowship (30) 3300 9 Ph. D. (1973-1975 incl.) Research Assistantship (5) 3300 9 5 Research A&NT 23, G&T 7, A&FA 9, Lectureship (20) 3300 9 5 Teaching P&S 1, CS 1, AM 2. *1/1/76 for foreign students; 2/1/76 for domestic Total: 43 DEPARTMBNT OF STATISTICS Applications due: 2/15/76 Master• s by dept. 5 Michael N. Perlman, Chairman Ph. D. (1973-1975 incl.) Fellowship (1) 4600-5500 12 P&S 9. Total: 9 Teaching Assistantship (5) 2400-3600 9 8-10 University of IUinois at Chicago Circle, Chicago 60680 DEPARTMENT OF MATHEMATICS Applications due: * Bachelor• s by inst. 2813 Philip Dwinger, Head Bachelor's by dept. 95 Master• s by dept. 35 Fellowship (3) 2500-3600 9 & 12 Teaching Assistantship (80) 3550 9 20 Teaching Ph. D. (1973-1975 incl.) Scholarship (-±) 9 A&NT 9, G&T 1, L 1, A&FA 5, P&S 2, AM 1, other 2. Total: 21 *Fellowships: 2/1/76; Assistantships: 8/15/76. University of Illinois at Urbana-Champaign, Urbana 61801 DEPARTMENT OF MATHEMATICS Applications due: 2/15/76 Bachelor's by inst. 5270 Paul T. Bateman Bachelor• s by dept. 100 Master's by dept. 74 Teaching Fellowship (11) 3500-5444 12 0-10 Teaching Tl'aching Assistantship (150) 2041-4082 9 10-20 Teaching Ph. D. (1973-1975 incl.) A&NT 21, G&T 17, L 9, A&FA 10, P&S 4, CS 6, AM 7. Total: 74

DEPARTMENT OF COMPUTER SCIENCE Applications due: * Bachelor• s by inst. 5270 J. N. Snyder, Head Bachelor' s by dept. 69 Master's by dept. 19 Fellowship (6) 2500 11 Tl'aching Assistantship (37) 3550-3900 9 20 Teaching Ph. D. (1973-1975 incl.) Research Assistantship (56) 3550-5000 12 20 Research CS 62. Total: 62 Tuition & Fel' Waiver (4) 950-2500 12 *2/15/76 for Summer and Fall; 11/15/76 for Spring.

Western Illinois University, Macomb 61455 DEPARTMENT OF MATHEMATICS Applications due: 4/1/76 Bachelor's by inst. 2856 A. Jerry Shryock, Chairman Bachelor• s by dept. 74 Master• s by dept. 12 Teaching Assistantship (12) 2610 9 6c Teaching

INDIANA Ball State University, Muncie 47306 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 3/1/76 Bachellif• s by inst. 2637 Duane E. Deal, Chairman Bachelor• s by dept. 68 Master• s by dept. 32 Teaching Assistantship (17) 2800 9 * 1 class Teaching Computer Science (5) 2800 9 * 20 Computer *$105-$160 per quarter. It is anticipated this will be reduced to $55 per quarter by Fall1976.

394 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 If not included houn type Aca.mlcyear (wjth numberanHclpated 1976-1977) indollan months in stipend ( dollan) per wHk of service 1974-1975 Indiana State University, Terre Haute 47809 DEPARTMENT OF MATHEMATICS Applications due: 5/1/76 Bachelor• s by dept. 45 Vesper D. Moore, Chairman Master• s by dept. 30 Teaching Assistantship (10) 1800-2700 9 10-20 Teaching Indiana University, Bloomington 47401 DEPARTMENT OF MATHEMATICS Applications due: 2/1/76 Bachelor• s by inst. 7367 Maynard Thompson, Chairman Bachelor• s by dept. 39 Master• s by dept. 53 Fellowship (2) 3500-4000 9 * Teaching Fellowship (3) 4000 9 ** 7-10 Teaching/ Ph. D. (1973-1975 incl.) Assisting, A&NT 5, G&T 6, A&FA 17, Grading P&S 3, AM 4. Total: 35 Teaching Assistantship (105) 3500-4100 9 *** 15-20 Research Assistantship (2) 3500-4000 9 ** 15-20 Teaching Summer Assistantship (30) 400-900 2 # 7-15 Teaching Summer Teaching Fellowship (15) 500-600 2 # 5 Teaching *In-state fees of $372 per semester. **Usually accompanied by an Assistantship, which gives full fee remission, except for $78 for general expenses (Health Center, etc.). ***$78 for general costs (Health Center, etc.) only. # Usually accompanied by an Assistantship, which gives full fee remission, except for $35 for general expenses (Health Center, etc.).

DEPARTMENT OF COMPUTER SCIENCE Applications due: 2/1/76 Bachelor• s by inst. 7367 Stanley Hagstrom, Acting Chairman Bachelor• s by dept. 16 Fellowship (1) 3000 12 Master• s by dept. 10 Teaching Assistantship (25) 1200-3200 10 * 15/20 Teaching Research Assistantship (3) 4000 12 Research *Possible fee remission.

Indiana University-Purdue University at IndianaJM)Iis 46205 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 3/1/76 Bachelor• s by inst. 1337 Michael C. Gemignani, Chairman Bachelor• s by dept. 11 Master• s by dept. Teaching Assistantship (3) 3600-3800 10 6* 18 Research Assistantship (3-6) 3600-3800 10 20 Research *Class hours.

Purdue University, West Lafayette 47907 DEPARTMENT OF MATHEMATICS Applications due: * Bachelor• s bv inst. 4238 R. A. Gambill, Acting Head Bachelor• s by dept. 132 Master• s by dept. 37 Fellowship (3) 3400-4000 12 60/sem. Teaching Assistantship (120) 3500-4100 9 60/sem. Teaching Ph. D. (1973-1975 incl.) Research Assistantship (4) 60/sem. A&NT 6, G&T 2, L 5, Black Fellowship (3) 3600-4200 12 60/sem. A&FA 20, AM 17. Total: 50 *Fellowships: 2/1/76; Assistantships: 3/15/76. DEPARTMENT OF COMPUTER SCIENCES Applications due: 2/15/76 Bachelor• s by inst. 4238 S.D. Conte, Head Bachelor• s by dept. 70 Fellowship (2) 3400-4000 9 60 Master's by dE'pt. 52 Teaching Assistantship (10) 3500-4000 9 60 3c Ph. D. (1973-1975 incl.) Research Assistantship (4) 3000-3600 9 60 20 L 2. CS 28, Total: 30

INDIANA '0 ; DEPARTMENT OF MATHEMATICAL SCIENCES UNIVERSITY WIUimfl\imm at INDIANAPOLIS UNI~~~~~ , ' ACADEMIC POSITION: A position is open at the assistant professor level for a computer scientist with a Ph. D. and teaching and research inter­ ests in operating systems, programming languages, or information systems.~ IUPUI is a state, urba:n zmiver>sibJ with mor>e than 20,000 students. Vegr>ee pr>ogr>ams in computer> science include the R. S. ,rrzd M. S. The computer> networ>k of ••hich IUPUI is an impor>tant par>t includes a VECsystem10, a eve 6600, a:nd an IBM 370/168. IUPUI is an Affir>mative A.:;tion Errrployer>.

Send resume to: Dr. Michael Gemignani, Chairman Department of Mathematical Sciences, IUPUI J 1201 E. 38th St. Indianapolis, IN 46205 lcccccccccccQccccccccc:::~::~~J~::::c:::c::::~c

DEPARTMENT OF STATISTICS Applications due: 2/1/76 Bachelor• s by inst. 4238 Shanti S. Gupta, Head Bachelor• s by dept. 5 Fellowship (2) 3600 12 60 Master• s by dept. 11 Teaching Assistantship (36) 3500-4100 10 60 5c Teaching Ph. D. (1973-1975 incl.) Research Assistantship (4) 3500-4100 10 60 P&S 17. Total: 17 University of Notre Dame, Notre Dame 46556 DEPARTMENT OF MATHEMATICS Applications due: 2/15/76 Bachelor• s by inst. 1589 Warren J. Wong, Chairman Bachelor• s by dept. 36 Fellowship (10) 3000-3600 9 Master• s by dept. 7 Teaching Assistantship (25) 3000-3600 9 4c Teaching Ph. D. (1973-1975 incl.) A&NT 11, G&T 10, L 3, A&FA 3. Total: 27

IOWA Drake University, Des Moines 50311 DEPARTMENT OF MATHEMATICS Applications due: 4/1/76* Bachelor• s by inst. 1050 Wayne L. Woodworth, Chairman Bachelor• s by dept. 4 Master• s Teaching Assistantship (5) 2000-2600 9 6-8 Teaching by dept. 1 *Late applications will be considered.

Iowa State University, Ames 50010 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor• s by inst. 3175 Wilfred E. Barnes, Head Bachelor• s by dept. 35 Master• s by Teaching Assistantship (35) 3550-4100 9 258/qtr. * Teaching dept. 5 Scholarship (6) 516** 12 Ph. D. (1973-1975 incl.) A&NT 1, G&T 4, A&FA 4, CS 3, AM 1. Total: 13 *Half-tuition scholarships are expected to accompany assistantships. **May be awarded in addition to half-tuition scholarships,

DEPARTMENT OF AEROSPACE ENGINEERING Applications due: 2/1/76 Bachelor• s by inst. 3175 R. F. Brodsky, Head Bachelor• s by dept. 25 Master• s by dept. 4 Teaching Assistantship (3) 345-450* 9 or 12 ** 20 Teaching Ph. D. (1973-1975 incl.) Other 5. Total: 5 *Per month. **Student pays one-half ($129 per quarter). DEPARTMENT OF COMPUTER SCIENCE Applications due: 2/1/76 Bachelor's by inst. 3175 Robert M. Stewart, Chairman Bachelor• s by dept. 82 Master's by dept. Teaching Assistantship (12) 3150-3645 9 129/qtr. Teaching 5 Research Assistantship (10) 2925-3420 9 129/qtr. Research Ph. D. (1973-1975 incl. ) cs 16. Total: 16

DEPARTMENT OF STATISTICS Applications due: 4/30/76 Bachelor• s by inst. 3175 H. A. David, Head Bachelor• s by dept. 10 Master• s by dept. 26 Teaching Assistantship (15) 3300-4320 9 129/qtr. 20 Teaching Research Assistantship (26) 4200-5400 12 129/qtr. 20 Research 1/2 time Instructors and Ph. D. (1973-1975 incl.) Associates (4) 5680-5970 12 258/qtr. 20 Teaching, P&S 28, Total: 28 research, consulting University oflowa, Iowa City 52242 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor• s by inst. 2660 Richard R. Goldberg, Chairman Bachelor• s by dept. 36* Master• s by dept. 11 Teaching Assistantship (35) 4100-4700 9 780 20 Teaching Research Assistantship (1) 4100-4400 9 780 20 Research Ph. D. (1973-1975 incl.) Teaching-Research (3) 4000-4700 12 ** A&NT 1, G&T 5, L 1, A&FA 5, Other 1. Total: 13 *Joint with Statistics and Computer Science. **20 or 6 or free on fellow year.

DEPARTMENT OF COMPUTER SCIENCE Applications due: 3/1/76 Bachelor• s by inst. 2660 Donald L. Epley, Chairman Bachelor• s by dept. 36* Master• s by dept. Fellowship (1) 3600 12 11 Teaching Assistantship (10) 4100-4700 9 780 20 Teaching Ph. D. (1973-1975 incl.) Research Assistantship (4) 4100-4400 9 780 20 Research cs 9. Total: 9 Teaching-Research Fellowship (4) 4000-4400 9 ** *Joint with Mathematics and Statistics. **20 or 6 or free on fellow year. 396 TYPE STIPEND TUITION SERVICE REQUIRED DeGREES AVVARDED

of llnanclal auiotance amount 9 or 12 if not indue*~ houn type Acacfemicyear (with numborantlclpatad 1976·1977) in dollars months in odpend ( clollan) per w ..k ofMrvlco 1974·1975 DEPARTMENT OF STATISTICS Applications due: 3/1/76 Bachelor• s by inst. 2660 Robert V, Hogg, Chairman Bachelor's by dept, 36* Master• s by dept. 10 Fellowship (1) 3600 12 Teaching Assistantship (15) 4100-4700 9 780 20 Teaching Ph. D. (1973-1975 incl.) Research Assistantship (4) 4100-4400 9 780 20 Research P&S 13. Total: 13 Teaching-Research Fellowship (2) 4000-4400 12 ** *Joint with Mathematics and Computer Science. **20 or 60 or free on fellow year. KANSAS

Fort Hays Kansas State College, Hays 67601 757 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor• s by inst. Bachelor's by dept. 22 E. Beougher, Chairman Master• s by dept. 3 Fellowship (1) 325/sem. 9 280 Teaching Assistantship (1) 2100 9 280 Kansas State College of Pittsburg, Pittsburg 66762 DEPARTMENT OF MATHEMATICS Bachelor• s by inst. 960 Bachelor• s by dept. 27 Helen F. Kriegsman, Chairman Master• s by dept. 8 Teaching Assistantship (5) 2124 9 195/yr. 6c Kansas State University, Manhattan 66506 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor• s by inst. 2700 John E. Maxfield, Head Bachelor• s by dept. 9 Master• s by dept. 5 Teaching Assistantship (20) 3015-3780 9 Ph. D. (1973-1975 incl.) A&NT 1, A&FA 2, other 4. Total: 7

DEPARTMENT OF COMPUTER SCIENCE Applications due: 3/1/76 Bachelor• s by inst. 2700 Paul S, Fisher, Head Bachelor• s by dept, 55 Master's by dept. 5 Teaching Assistantship (5) 2700-3600 9 20 Teaching Research Assistantship (5) 2700-4500 9 20 Research

DEPARTMENT OF STATISTICS Bachelor• s by inst. 2700 Arthur D. Dayton, Head Bachelor• s by dept. 5 Master• s by dept. 7 Teaching Assistantship (4) 3200-3600 9 206/sem. Teaching Research Assistantship (2) 3600-4400 12 206/sem. Research Ph, D, (1973-1975 incl.) 'P&Sio. Total: 10 University of Kansas, Lawrence 66045 DEPARTMENT OF MATHEMATICS Applications due: 3/1/75* Bachelor• s by inst. 2873 R.N. Bradt, Chairman Bachelor• s by dept. 23 Master• s by dept. 8 Fellowship (2) 3000-3300 9 Teaching Assistantship (45) 3600-3900 9 25/hr. Teaching Ph. D. (1973-1975 incl.) A&NT 3, G&T 1, A&FA 3. Total: 7 *Late applications for assistantships usually considered.

DEPARTMENT OF COMPUTER SCIENCE Applications due: 2/15/76 Bachelor• s by inst. 2873 Floyd R. Horowitz, Chairman Bachelor• s by dept. 7 Master's by dept. 8 Teaching Assistantship (16) 3200-3600 9 288/sem. 6c Ph. D. (1973-1975 incl.) CS 2, Total: 2

Wichita State University, Wichita 67208 DEPARTMENT OF MATHEMATICS Applications due: 4/15/76 Bachelor• s by inst. 787 William M. Perel, Chairman Bachelor• s by dept. 22 Master's by dept. 9 Teaching Assistantship (12) 3200 9 17/hr, 5-6c Teaching

KENTUCKY Eastern Kentucky University, Richmond 40475 DEPARTMENT OF MATHEMATICS Applications due: 4/1/76* Bachelor• s by inst. 1871 Bennie R. Lane, Chairman Bachelor• s by dept. 21 Master• s by dept. 3 Teaching Assistantship (6) 2200-2500 9 489. 50/yr. Teaching *Late applications will be considered if assistantships are available.

397 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not Included hours type (with numloeranticipatod 1976-1977) in dollars months In stipend (dollars) per woelc of service Morehead State University, Morehead .W351 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 5/76 Bachelor• s by inst. 1100 Glenn E. Johnston, Head Bachelor• s by dept. 20 Master's by dept. 3 Teaching Assistantship (2) 2200 9 235 9 Teaching University of Kentucky, Lexington .W506 DEPARTMENT OF MATHEMATICS Applications due: 2/1/76 Bachelor• s by inst. 2727 John Mack, Chairman Bachelor• s by dept. 23 Master's by dept. 14 Fellowship (3) 2800-3600 9 Teaching Assistantship (50) 3400-3600 9 265 6c Teaching Ph. D. (1973-1975 incl.) Research Assistantship (2) 3100-4000 9 265 A&NT 6, G&T 2, A&FA 7. Total: 15

DEPARTMENT OF COMPUTER SCIENCE Applications due: * Bachelor• s by inst. 2727 Thaddeus B. Curtz, Chairman Bachelor• s by dept, 11 Master's by dept. 8 Fellowship (2) 3000 9 265/sem. ** Teaching Assistantship (8) 1800-3600 9 10-20 Teaching Research Assistantship (2) 3600 9 20 Programming support Interns (6) 3600 9 20 Programming support *Fellowships: 2/1/76; Assistantships: 3/15/76. **Tuition normally rebated.

DEPARTMENT OF STATISTICS Applications due:* Bachelor's by inst. 2727 R. L. Anderson, Chairman Master• s by dept. 9 Fellowship (5) 2800-3600 9 265/sem. Ph. D. (1973-1975 incl.) Teaching Assistantship (15) 3500-3800 9 265/sem. 15 Teaching P&S 5. Total: 5 Research Assistantship (10) 4200-7000 12 265/sem. 20/30 Consulting & research *Fellowships: 2/1/76; Assistantships: 4/1/76. University of Louisville, Louisville .W208 DEPARTMENT OF MATHEMATICS Applications due: 3/15/76 Bachelor's by inst. 374 Roger H. Geeslin, Chairman Bachelor's by dept, 21 Master• s by dept. 21 Teaching Assistantship (6) 3100-4000 9 * 6 Teaching Western Kentucky University, Bowling Green 42101 DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE Applications due: 3/1/76 Bachelor' s by inst. 1111 Robert C. Bueker, Chairman Bachelor• s by dept. 26 Master• s by dept. 5 Teaching Assistantship (7) 2400-2900 9 236/sem. 10 Teaching, tutorials LOUISIANA Louisiana State University, Baton Rouge 70803 DEPARTMENT OF MATHEMATICS Applications due: 4/1/76 Bachelor• s by inst. 2397 L. T. Wade, Head Bachelor• s by dept, 13 Teaching Assistantship (38) 3600 9 6c Teaching Master• s by dept. 4 Ph. D. (1973-1975 incl.) A&NT 2, G&T 5, A&FA 5. Total: 12 Louisiana Tech University, Ruston 71270 DEPARTMENT OF MATHEMATICS Applications due: 2/15/76 Bachelor's by inst, 1662 B.J. Attebery, Acting Head Bachelor• s by dept. 14 Master• s by dept. 4 Teaching Assistantship (4) 4600 9 5 Teaching Graduate Assistant (8) 3000 9 5 Tutoring Ph. D. (1973-1975 incl.) P&S 1. Total: 1 McNeese State University, Lake Charles 70601 DEPARTMENT OF MATHJ<;MATICS Applications due: 5/1/76 Patrick L. Ford, Head Teaching Assistantship (8) 2400 9 117 6 Northeast Louisiana University, Monroe 7120 1 DEPARTMENT OF MATHEMATICS Applications due: 4/1/76 Bachelor' s by inst. 1476 Richard D. Finley, Head Bachelor s by dept. 15 Teaching Assistantship (15) 3000 9 6c Teaching Master• s by dept. 8

398 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of ftnancialaulstance amount 9or12 if not induclecl hours typa Academic year (with • ..-anticipat.cll976-1977) indollan months in stlpand (dollars) perwHk of service 1974-1975

Northwestern State University, Natchitoches 71457 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor• s by inst. 763 Russell Whittington, Jr., Chairman Bachelor• s by dept. 20 Master• s by dept. 10 Research Assistantship (4) 800-1400 9 12 Southeastern Louisiana University, Hammond 70401 DEPARTMENT OF MATHEMATICS Applications due: 4/15/76 Bachelor• s by inst. 799 Robert c. Brown, Head Bachelor• s by dept. 8 Master• s by dept. 1 Teaching Assistantship (2) 2400 9 70 6 Teaching Tulane University, New Orleans 70118 DEPARTMENT OF MATHEMATICS Applications due: 2/15/76 Bachelor• s by inst. 981 Karl H. Hofmann, Chairman Bachelor• s by dept. 22 c Master's by dept. 7 Teaching Assistantship (9) 2700-3000 9 3-41/2 Ph. D. (1973-1975 incl.) A&NT 3, G&T 3, A&FA 8, P&S 1. Total: 15 DEPARTMENT OF BIOSTATISTICS Application due: 4/15/76 Bachelor• s by inst. 981 J. E. Diem, Acting Head Ph. D. (1973-1975 incl.) Scholarship (4) * other 1. Total: 1 *Depends on need. University of New Orleans, New Orleans 70122 DEPARTMENT OF MATHEMATICS Applications due: 5/1/76 Bachelor• s by inst. 1534 J. R. Foote, Chairman Bachelor• s by dept. 25 Master• s by dept. 8 Teaching Assistantship (12) 2600-2800 9 50 6c Teaching University of Southwestern Louisiana, Lafayette 70501 DEPARTMENT OF MATHEMATICS Applications due: 4/1/76 Bachelor• s by inst. 1449 Duane Blumberg, Chairman Bachelor's by dept. 9 Master• s by dept. 5 Fellowship (1) 3000 9 Teaching Assistantship (20) 2400-3000 9 6c Teaching Ph. D. (1973-1975 incl.) A&NT 2, A&FA 1, P&S 9. MAINE Total: 12 University of Maine at Orono 04473 DEPARTMENT OF MATHEMATICS Applications due 4/76 Bachelor• s by inst. 1442 John C. Mairhuber, Chairman Bachelor• s by dept. 28 Master• s by dept. 5 Fellowship (2) 3240 12 Teaching Assistantship (12) 2488 9 20 Recitation section, lab supervision Scholarship (2) 9 MARYLAND Johns Hopkins University, Baltimore 21218 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor• s by inst. 516 J.H. Sampson, Chairman Bachelor• s by dept. 2 Master• s by dept. 5 Teaching Assistantship (17) 2400-2700 9 4 Ph. D. (1973-1975 incl.) A&NT 5, G&T 6, A&FA 3. Total: 14 ~~~=aoaaaaaaaaaaaocaaaaaaacaaaccaacocaacacaacac =~aacaaaac:aaaacaco~aaaaacaaaccaaaaaocaccacaaaaccQ

TULANE UNIVERSITY

Faculty: ALGEBRA--Mark Benard, Alfred H. Clifford, John Dauns, Laszlo Fuchs, Pierre A. Grillet, William R. Nico; PARTIAL VIFFERENTIAL EQ.UATIONS--J. Thomas Beale, Edward D. conway, Jerome A. Goldstein, steven I. Rosencrans; PROBABILITY ANV STATISTICS--Charles B. Bell, Patrick Brockett, Arnold Levine; SEVERAL COMPLEX VARIABLES--Frank T. Birtel, Frank D. Quigley, Albert L. Vitter, William Zame; TOPOLOGY--Ronald A. Fintushel, Ronald J. Knill, Terry c. Lawson, James T. Rogers; TOPOLOGICAL ALGEBRA--Maurice J. Dupre, Karl H. Hofmann, John R. Liukkonen, Michael w. Mislove, A. D. Wallace. Graduate Students: 35, all Ph.D. research oriented, with teaching responsibilities of three hours per week. Outstanding Library in the same space as graduate student and faculty offices. Excellent atmosphere for informal, intense cooperation between students and faculty. Located in urbane and gastronomic New Orleans.

399 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of flnandalaslistance amount 9 or 12 If not lnclu s by dept. 9 Master• s by dept. 9 Teaching Fellowship (20) Varies 9 Varies 6-8 Teaching Ph. D. (1973-1975 incl.) P&S 6, AM 6, Other 13, University of Maryland, Baltimore County, Baltimore 21228 DEPARTMENT OF MATHEMATICS Applications due: 3/31/76 Bachelor• s by inst. 767 Fred Gross, Chairman Bachelor's by dept, 17 Master• s by dept. 4 Teaching Assistantship (13) 3100-4400 9 * 15-20 Teaching *Remitted. University of Maryland, College Park 20742 DEPARTMENT OF MATHEMATICS Applications due: 2/1/76 Bachelor• s by inst. 5249 J.K. Goldhaber, Chairman Bachelor's by dept. 85 Master• s by dept, 27 Fellowship (2) 3630-4000 9 * Teaching Assistantship (110) 3100-4400 9 6-9 Ph. D. (1973-1975 incl.) Teaching Associateship (8) 4950-6600 9 9-12 A&NT 6, G&T 3, L 2, A&FA 15, P&S 3, CS 1, AM 13, other 1. Total: 44 *Per credit hour: residents $47; nonresidents $77. MASSACHUSETTS Boston College, Chestnut Hill 02167 DEPARTMENT OF MATHEMATICS Applications due: 2/15/76 Bachelor> s by inst. 1821 G. G. Bilodeau, Chairman Bachelor' s by dept. 50 c Master• s by dept. 6 Teaching Fellowship (10) 2600-2800 9 6

UNIVERSITY OF MARYLAND BALTIMORE COUNTY Graduate Study in Applied Mathematics Leading to M.S. and Ph.D. Degrees FIELDS: Ordinary Partial and Functional Differential Equations, Probability and Statistics, Numerical Analysis, Stochastic Control and Estimation, Dynamical Systems, Fluid Dynamics, Complex Analysis, Systems Analysis, Operations Research. TEACHING ASSISTANTSHIPS: $3100-$4400 with Remission of Fees APPLY TO: Chairman, Graduate Committee Division of Mathematics and Physics UNIVERSITY OF MARYLAND BALTIMORE COUNTY Baltimore, Maryland 21228

THE UNIVERSITY OF MARYLAND AT COLLEGE PARK invites applications for the position of Distinguished Professor in Algebra and Number Theory Candidates are expected to be outstanding researchers with an international reputation. The department is particularly interested in number theorists or in algebraists or algebraic geometers with collateral interests in number theoretic problems. Nominations, applications, and inquiries should be addressed to: J. K. Goldhaber, Chairman Department of Mathematics UNIVERSITY OF MARYLAND College Park, Maryland 20742 The University of Mary/and is an Equal Opportunity Employer...... !

400 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AVVARDED ofllnandalaulota- amounl 9orl2 lf""tln...,... houos type Acadomlcyaar ( with nu...... ,r antlcipetad 1976·1977) indollan months In slipond ( dollaos) per waak ofHrvice 1974-1975 Boston University, Boston 02215 DEPARTMENT OF MATHEMATICS Applications due: 2/1/76 Bachelor• s by inst. 1237 Robin E. Esch, Chairman Bachelor• s by dept. 38 Master• s by dept. 8 Teaching Fellowship (20) 2900 9 6 Teaching Assistantship (3) 9 10 Library, Ph. D. (1973-1975 incl.) etc. A&NT 4, L 1, A&FA 1, P&S 1, CS 2, AM 2. Total: 11 Brandeis University, Waltham 02154 DEPARTMENT OF MATHEMATICS Applications due: 2/1/76 Bachelor• s by inst. 616 Jerome P. Levine, Chairman Bachelor's by dept. 14 Master• s by dept. 13 Fellowship (19) 200-3000 9 Grading, research Ph. D. (1973-1975 incl.) Teaching Fellowship (2) 3000 9 3c Teaching Total: 5* Teaching Assistantship (11) 1400 9 3c Teaching Research Assistantship (15) 1100-2900 9 Research Scholarship-Tuition (27) 250-3550 AFGRAD, WIEN, MEXICAN NRC (6) 2700-3000 9 3550 *Fields of specialization not known. Clark University, Worcester01610 DEPARTMENT OF MATHEMATICS Applications due: 2/20/76 Bachelor' s by inst. 452 Robert W. Kllmoyer, Jr. Chairman Bachelor• s by dept. 16 Master• s by dept. 1 Teaching Assistantship (7) 2800-3200 9 4 Teaching Research Assistantship (1) 1000 Research Ph. D. (1973-1975 incl.) A&FA 2, Other 2. Total: 4

Harvard University, Cambridge 02138 DEPARTMENT OF MATHEMATICS Applications due: 1/12/76 Bachelor' s by inst. 1474 Shlomo Sternberg, Chairman Bachelor• s by dept. 31 Master• s by dept. 7 Fellowship (10) 3600-4000 12 Teaching Fellowship (22) 2340-2880 10 5c Teaching Ph. D. (1973-1975 incl.) Research Assistantship (5) 3000 10 Research A&NT 15, G&T 17, A&FA 9, Scholarship (10) 1500-3500 10 P&S 2, Other 2. Total: 45

DEPARTMENT OF STATISTICS Applications due: Open Bachelor• s by inst. 1474 Frederick Mosteller, Chairman Bachelor• s by dept. 4 Master's by dept. 5 Teaching Assistantship (18) 780-960* 5 8 Teaching, grading Ph. D. (1973-1975 incl.) P&S 10. Total: 10 *1975-1976 figures.

Massachusetts Institute of Technology, Cambridge 02139 DEPARTMENT OF MATHEMATICS Applications due: 1/15/76 Bachelor• s by inst. 1040 Kenneth Hoffman, Head Bachelor• s by dept. 107 Master• s by dept. 6 Fellowship (26) 2700 9 3600 12 Ph. D. (1973-1975 incl.) Teaching Assistantship (47) 3780 9 6 Teaching orA&NT 5, G&T 17, L 4, 16 grading A&FA 8, P&S 6, CS 8, papers AM 12, Other 11. Total: 71 Research Assistantship (12) 6984 9 3700 16 Research

Northeastern University, Boston 02115 DEPARTMENT OF MATHEMATICS Applications due: 3/15/76* Bachelor's by inst. 2400 Maurice E. Gilmore, Chairman Master• s by dept. 18 Teaching Assistantship (10) 2600-3200 9 Teaching Ph. D. (1973-1975 incl.) Scholarship (4) A&NT 3, G&T 3, A&FA 3, AM 2. Total: 11 *Late applications will be considered. Tufts University, Medford 02155 DEPARTMJ!;NT OF MATHEMATICS Applications due: * Bachelor• s by inst. 1036 George F. Leger, Chairman Bachelor• s by dept. 29 Master• s by dept. 4 Teaching Fellowship (3) 2700-3100 9 3400 20 Teaching or grading Ph. D. (1973-1975 incl.) Scholarship (3) Full Tuition A&NT 1. Total: 1 *No date set but first round decisions are usually made in April,

401 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial aulstanc. amount 9 or 12 if notlndudod houn type Aca•micyear (.Mth numberanticipatod 1976·1977) indollan months In stipend ( dollan) per wHk ofsel"'ice 1974-1975

University of Lowell, Lowell 01854 DEPARTMENT OF MATHEMATICS Applications due: 5/1/76 Bachelor• s by inst. 800 I.J. Weinberg, Acting Chairman Bachelor's by dept. 45 Master• s by dept. 4 Teaching Assistantship (4) 3000-3500 9 6-8 Teaching University of Massachusetts, Amherst 01002 DEPARTMENT OF MATHEMATICS AND STATISTICS Applications due: 2/15/76 Bachelor• s by inst. 4305 Jin-Chen Su, Acting Head Bachelor' s by dept. 58 Master• s by dept. 13 Fellowship (1) 2800 12 Teaching Assistantship (48) 3600-4168 9 6-8 Teaching Ph. D. (1973-1975 incl.) A&NT 4, G&T 7, A&FA 2, P&S 2, Other 2. Total: 17

DEPARTMENT OF COMPUTER AND INFORMATION SCIENCE Applications due: 3/1/76 Bachelor• s by inst. 4305 Robert M. Graham, Chairman Master• s by dept. 19 Fellowship (1) 2800 9 Ph. D. (1973-1975 incl.) Teaching Fellowship (2) 4000 9 15-20 Teaching CS 2. Total: 2 Teaching Assistantship (5) 3600 9 15-20 Teaching Research Assistantship (20) 4000-6000 12 15-20 Research

University of Massachusetts at Boston 02116 DEPARTM}<;NT OF MATHEMATICS Applications due: 5/15/76 Bachelor• s by inst. 550 H. Kamowitz and T. Tanimoto, Co-chairpersons Bachelor• s by dept. 45 Master• s by dept. 4 Teaching Assistantship (4) 3000-3600 9 22. 50/hr. 6 Worcester Polytechnic Institute, Worcester 01609 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor• s by inst. 430 J.J. Malone, Chairman Bachelor• s by dept. 24 Teaching Assistantship (6) 2800 9 10-12 Assisting Master• s by dept. 3

DEPARTMENT OF COMPUTER SCIENCE Applications due: 2/76 Bachelor• s by inst. 430 Norman E. Sondak, Head Bachelor• s by dept. 40 20 T~aching Assistantship (5) 2800 9 20 Teaching orMaster' s by dept. research Research Assistantship (2) 2800 9 20 Research MICHIGAN Andrews University, Berrien Springs 49104 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 3/15/76 Bachelor• s by inst. 268 Harold T. Jon~s, Chairman Bachelor• s by dept. 6 Teaching Assistantship (4) 2600 9 1350 10 Teaching, Master• s by dept. 5 paper grading Central Michigan University, Mount Pleasant 48858 DEPARTMJ<.NT OF MATHEMATICS Applications due: 4/15/76 Bachelor's by inst. 2692 Thomas J. Miles, Chairman Bachelor• s by dept. 105 Master• s by dept. Fellowship (0-5) 2000-2500 9 7 Teaching Assistantship (11) 3200-3700 9 *$26. 50 per month. **student pays one-half ($129 per quarter).

Michigan State University, East Lansing 48824 DEPARTMJ<.NT OF MATHEMATICS Applications due: 2/1/76 Bachelor• s by !nst. 6984 Joseph E. Adney, Chairman Bachelor•s by dept. 90 Master• s by dept. 33 Teaching Assistantship (104) 3952-4556 9 22 20 Teaching, paper grad- ing, etc. Ph. D. (1973-1975 incl.) A&NT 3, G&T 7, A&FA 4, P&S 1, CS 6, AM 5, Other 4. Total: 39

DEPARTMENT OF COMPUTER SCIENCE Applications due: 3/15/76 Bachelor• s by !nst. 6984 Harry G. Hedges, Chairman Bachelor's by dept. 65 Master• s by dept. 11 Teaching Assistantship (5) 4100-4500 9 19/cr. 20 Teaching Research Assistantship (4) 4100-4500 9 19/cr. 20 Research Ph. D. (1973-1975 incl.) CS 2. Total: 2

402 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED

of Rnancial assistance amount 9 or 12 if not included hours type Academic year (with number anticipatH 1976·1977) in dollars months in stipend (dollars} per week of service 1974-1975

Michigan Technological University, Houghton 49931 DEPARTMENT OF MATHEMATICS Applications due: 2/28/76 Bachelor• s by inst. 750 Zane C. Motte1er, Head Bachelor• s by dept. 35 Master• s by dept. 6 Teaching Assistantship (12) 3000-3300 9 5-6c Teaching Northern Michigan University, Marquette 49855 DEPARTMENT OF MATHEMATICS Applications due: 3/11/76 Bachelor• s by inst. 1098 C. B. stortz, Head Bachelor• s by dept. 24 Master• s by dept. 4 Teaching Assistantship (8-10) 2500'-2700 9 4-6 Oakland University, Rochester 48063 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 3/15/76 Bachelor• s by inst. 1300 Louis R. Bragg, Chairperson Bachelor• s by dept. 39 Master' s by dept. 5 Teaching Assistantship (4) 2700-3200 9 20 Tutoring, grading University of Detroit, Detroit 48221 DEPARTMENT OF MATHEMATICS Bachelor's by inst. 1200 John M. Dwyer, Chairman Bachelor• s by dept. 15 Master's by dept. 30 Teaching Fellowship (5) 2000-3600 9 6 Teaching Teaching Assistantship (1) 9 6 Grading papers University of Michigan, Ann Arbor 48104 DEPARTMENT OF MATHEMATICS Applications due: 2/1/76 Bachelor• s by inst. 4677 Allen L. Shields, Chairman Bachelor• s by dept. 130 Master's by dept. 59 Fellowship (6) 2000-3600 9 Full- study/ time research Ph. D. (1973-1975 ind.) Teaching Assistantship (80)* 2917-4167 9 880 4-6 Teaching A&NT 7, G&T 5, L 3, Scholarship (5) ** Up to 3008 9 1160-3008 Full- A&FA 22, CS 2, AM 9. time Study Total: 48 Other (15)*** 2200-3800 9 Full- time Study student Assistantship (40)# 600-1600 9 1160-3008 Grade papers *Approximately 6 of these fellowships will be combination appointments. **Primarily for students in Actuarial Science. ***Primarily for students of certain minority groups. #Undergraduate students are also used in this category (approximately 1/2).

DEPARTMENT OF COMPUTER AND COMMUNICATION SCIENCES Applications due: 2/1/76 Bachelor• s by inst. 5713 Larry K. Flanigan, Acting Chairman Bachelor• s by dept. 130 Master's by dept. 11 Fellowship (2) 2400-3600 8 Teaching Assistantship (33) 2084-3129 8 880/max. 10-15 Ph. D. (1973-1975 incl.) Research Assistantship (20) 2084-6709 12 880/max. 10-40 CS 18. Total: 18

DEPARTMENT OF STATISTICS Applications due: 2/1/76 Bachelor• s by inst. 5713 William A. Ericson, Chairman Ph. D. (1973-1975 incl.) Teaching Fellowship (7) 2083-4167 8 440/term 10-20 Teaching P&S 5. Total: 5 Research Assistantship (3) 2083-4167 8 440/term 10-20 Research Scholarship (5) 1500-3000 8 1500/term

Wayne State University, Detroit 48202 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76* Bachelor• s by inst. 3456 Martin T. Wechsler, Chairman Bachelor• s by dept. 30 Master's by dept. 11 Fellowship (4) 3000 9 Teaching Fellowship (20) 3300-4400 9 ** Teaching Ph. D. (1973-1975 incl.) Teaching Assistantship (30) 3100-3800 9 ** Teaching A&NT 3, G&T 2, A&FA 10, P&S 8, AM 1. Total: 24 *Late applications will be considered if positions are still available. **Up to 8 hours per quarter. Western Michigan University, Kalamazoo 49008 DEPARTMENT OF MATHEMATICS Applications due: 2/28/76 Bachelor's by inst, 4000 A. B. Clarke, Chairman Bachelor• s by dept, 90 15 Fellowship (6) 3000-4000 8* 29, 50/cr. hr. 3c Teaching orMaster' s by dept. research Ph. D. (1973-1975 Teaching Assistantship (23) 3000-4000 8* 29. 50/cr. hr. 6c Teaching A&NT 2, G&T 1, A&FA 1, Other 5. Total: 9 *An additional $750-$1000 for two months in Spring or Summer. 403 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial aulstance amount 9or12 If nat incluclecl houn type AcadomlcfH' (with number antklpatecll976·1977) in dollan months In olipend ( dollan) perwoelc afoervlce 1974·1975 MINNESOTA Bemidji State College, Bemidji 56601 DEPARTME;NT OF MATHEMATICS AND COMPUTER SCIENCE Applications due: 6/1/76 Bachelor's by inst. 930 Gerald J. Smith, Chairman Bachelor• s by dept. 45 Master• s by dept. 10 Teaching Assistantship (2) 2500 9 * 8 *$10. 25 per quarter hour plus approximately $36 per quarter in various fees. Mankato State College, Mankato 56001 DEPARTMENT OF MATHEMATICS Applications due: 4/1/76 Bachelor's by inst. 1800 V. Dean Turner, Chairman Bachelor's by dept. 60 Master• s by dept. 7 Teaching Assistantship (1) 2100 9 * *Residents: $10.25 per quarter; nonresidents: $20. 25 per quarter. St. Cloud State College, St. Cloud 56301 DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE Applications due: 4/1/76 Bachelor• s by inst. 1043 Kent F. Carlson, Chairman Bachelor's by dept. 29 Master's by dept. 3 Teaching Assistantship (1) 2400 9 92.25 8° Teaching University of Minnesota, Minneapolis 55455 DEPARTMENT OF MATHEMATICS Applications due: 2/15/76 Bachelor' s by inst. 6895 Johannes C. C. Nitsche, Head Bachelor• s by dept. 54 Master• s by dept. 9 Fellowship (10) 3000-3500 9 Teaching Fellowship (2) 4752-5850 9-12 2c Teaching Ph. D. (1973-1975 incl.) Teaching Assistantship (91) 4104-4617 9 600 4-5c Teaching A&NT 7, G&T 5, L 1, Research Assistantship (2) 3987 9 600 A&FA 17, P&S 3, AM 1, Other 1. Total: 35

DEPARTMENT OF IDOMETRY Applications due: 4/15/76 Bachelor• s by inst. 6895 Marcus 0. Kjelsberg, Director Bachelor's by dept. 10 Master• s by dept. 12 Teaching Assistantship (5) 4104 9 321/qtr. 20 Teaching Research Assistantship (2) 3987 9 321/qtr. 20 Research Ph. D. (1973-1975 incl.) Other 12. Other: 12

DEPARTMENT OF COMPUTER SCIENCE Applications due: 2/15/76 Bachelor• s by inst. 6895 J. B. Rosen, Head Bachelor• s by dept. 30 Mastel" s by dept. 5 Teaching Fellowship (4) 4000-6500 9 & 12 10 Teaching Teaching Assistantship (8) 4200-4600 9 750 15-18 Teaching Ph. D. (1973-1975 incl.) Research Assistantship (4) 4000-5200 9 & 12 750 15-18 Research CS 12. Total: 12

SCHOOL OF STATISTICS Applications due: 3/1/76 Bachelor's by inst. 6895 Seymour Geisser, Director Bachelor's by dept. 4 Master• s by dept. 3 Fellowship (3) 3750 9 Teaching Assistantship (14) 4350 9 700 10-12 Grading, Ph. D. (1973-1975 incl.) lab P&S 15. Total: 15 Research Assistantship (6) 4200 9 700 10-12 Research

MATHEMATICS AT MINNESOTA Tht> Uniwrsit~· of '\linnesota offers graduate programs leading to tht> l\I.S. and Ph.D. degrees. There af!' 75 full time faculty members and almost all areas of mathematies are well represented. In recent yt>ars there have been. fpwer than two graduate students pt>r faculty member. Exeellent library facilities and ample office space are aYailable in th<' mathematics building. Financial aid is aYailable to qualified students in the form of Gradual<' FPllowships. and Teaching Assistantships. For further information write to: Professor Howard Jenkins Assoeiate Head, School of Mathematics l":\'IYERSITY OF !\11'\:\'ESOTA Minneapolis, Minnesota 55-155

404 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of flnancialonistance amounl 9 or 12 if not includecl hours type Academic year (with numHrantlcipatacl1976-1977) in dollars months in o6pend ( dollall) per wHk of service 1974·1975 MISSISSIPPI Millsissippi State University, Mississippi State 39762 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor• s by inst. 2100 Thomas A. Atchison, Head Bachelor's by dept. 15 Master• s by dept. 2 Teaching Assistantship (12) 3300 9 255/sem. Teaching Mississippi State College for Women, Columbus 39701 DEPARTMENT OF MATHEMATICS Applications due: Open Bachelor's by inst. 339 Carol B. Ottinger, Head Bachelor• s by dept. 12 Master• s by dept. 1 Research Assistantship (2) 1474 9 10 Research Scholarship (5) 474(tuition) 9 University of Mississippi, University 38677 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor• s by inst. 1800 Roy D. Sheffield, Chairman Bachelor• s by dept. 25 Fellowship (3) 2000-2600 9 or 12 276. 50 Master• s by dept. 8 Teaching Assistantship (16) 2800-3200 9 276.50 6c Ph. D. (1973-1975 incl.) A&NT 1, G&T 1, A&FA 3. Total: 5 University ofSouthem Mississippi, Hattiesburg 39401 DEPARTMENT OF MATHEMATICS Applications due: 3/15/76 Bachelor• s by inst. 2316 James Caveny, Chairman Bachelor• s by dept. 30 Master• s by dept. 3 Teaching Fellowship (8) 1500-2400 9 170/qtr. 10 or 3 sem.hrs.

DEPARTMENT OF COMPUTER SCIENCE AND STATISTICS Applications due: 3/15/76 Bachelor• s by inst. 2316 Danny R. Carter, Chairman Bachelor• s by dept. 70 Master• s by dept. 2 Teaching Assistantship (2) 1500-2000 9 * 15 *Waiver of out-of-state. MISSOURI Central Missouri State College, Warrensburg 64093 DEPARTMENT OF MATHEMATICS Applications due: 4/1/76 Bachelor• s by inst. 2393 H. Keith Stumpff, Head Bachelor• s by dept. 40 Master• s by dept. 5 Teaching Assistantship (6) 2150-2400 9 315/yr. 5-7 Teaching St. Louis University, St. Louis 63103 DEPARTMENT OF MATHEMATICS Applications due: 4/1/76 Bachelor• s by inst. 1500 Raymond Freese, Chairman Bachelor• s by dept. 28 Master• s by dept. 16 Teaching Fellowship (8) 2500 9 85/sem.hr. 6 Teaching Ph. D. (1973-1975 incl.) G&T 4, CS 2. Total: 6 University ofMissouri-Columbis 65.201 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor• s by inst. 2368 J. L. Zemmer, Chairman Bachelor• s by dept. 37 Master• s by dept. 7 Teaching Assistantship (60) 3330-3800 9 540 fees/yr. 6-7c Teaching Ph. D. (1973-1975 incl.) A&NT 4, G&T 4, A&FA 8, CS 1. Total: 17

DEPARTMENT OF COMPUTER SCIENCE Applications due: 4/1/76 Bachelor• s by inst. 2368 Paul Blackwell, Chairman Master• s by dept. 5 Teaching Assistantship (7) 3330 9 6c Research Assistantship (3) 4915 12 20 Error consulting Scholarship (2) 300 4

DEPARTMENT OF STATISTICS Applications due: 3/1/76 Bache! or• s by inst. 2368 Frederick Williams, Chairman Bachelor's by dept. 1 Master• s by dept. 5 Teaching Assistantship (17) 3430-4000 9 * 6c Teaching Research Assistantship (4) 3430-5500 9-12 * 15-20 Research Ph. D. (1973-1975 incl.) P&S 7. Total: 7 *Fees are currently $290 per semester.

405 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial anistance amount 9 or 12 if not Included hours type Academic year (with number antlcipatecl1976·1977) indollan months in stipend (dollars) per WHk of service 1974·1975 University of Missouri-Kansas City 64110 DEPARTMENT OF MATHEMATICS Applications due: 3/15/76 Bachelor• s by inst. 1171 Paul Liebnitz, Chairman Bachelor's by dept. 17 Master• s by dept, 7 Fellowship (1) 2500 9 Teaching Assistantship (12) 3600-3800 9 610/yr. 5° Teaching Ph. D. (1973-1975 incl.) Research Assistantship (2) 3600 9 610/yr. 10 Research A&NT 1, G&T 2, A&FA 2. Instructorship (3) 5400 9 610/yr. 8° Teaching Total: 5 Instructorship (2) 7900 9 610/yr, 12° Teaching University ofMissouri-RoUa 65401 DEPARTM1>NT OF MATHEMATICS Applications due: 2/15/76 Bachelor• s by inst. 762 ·Glen Haddock, Chairman Bachelor's by dept, 17 Master• s by dept, 7 Teaching Assistantship (30) 3860 9 270/sem. Teaching Ph. D. (1973-1975 incl.) A&NT 1, A&FA 3, P&S 3, CS 7, AM 1. Total: 15

DEPARTMENT OF COMPUTER SCIENCE Applicaticins due: 3/1/76 Bachelor's by inst. 762 John W. Hamblen, Chairman Bachelor• s by dept, 66 Master• s by dept. 20 Teaching Fellowship (14) 3860 9 280/sem. fees 20 Teaching Teaching Assistantship (5) 3860 9 280/sem. fees 20 Research Ph. D. (1973-1975 incl.) CS 4. Total: 4 DEPARTMENT OF ENGINEERING MECHANICS Applications due: Open Bachelor's by inst. 762 Peter G. Hansen, Chairman Bachelor• s by dept. 2 Master• s by dept. 6 Teaching Assistantship (4) 3850 9 319/sem. 20 Teaching Research Assistantship (1) 3850 9 319/sem. 20 Research I'nin>rsity of :\lissouri-St. Louis 6:H21 DEPARTMENT OF MATHEMATICAL SCIENCES Bachelor• s by inst, 1250 Deborah Tepper Haimo, Chairperson Bachelor• s by dept. 20 Master's by dept. 1 Teaching Assistantship (9) 3650-3850 9 270/sem. fee 6° Teaching Washington University, St. Louis 63130 DEPARTMENT OF MATHEMATICS Applications due: 2/15/76 Bachelor• s by inst. 2062 Robert H. McDowell, Chairman Bachelor• s by dept, 8 5 Fellowship (9) 3050-3150* 9 10 Teaching, Master• s by dept, grading and Ph. D. (1973-1975 incl.) /or proctor-G&T 4, A&FA 9, Total: 13 ing Teaching Fellowship (12) 3050-3150* 9 10 Teaching, grading and /or proctor­ ing Teaching Assistantship (1) 3050-3150* 9 10 Teaching, grading and /or proctor­ ing Research Assistantship (1) 3050-3150* 9 10 Research Ford Foundation (1) 9 *Plus tuition. The amount of the stipend is increased $500 for each dependent child. MONTANA Montana State University, Bozeman 59715 DEPARTMENT OF MATHEMATICS AND STATISTICS Applications due: 4/1/76 Bachelor• s by inst. 1400 Robert D. Engle, Head Bachelor's by dept. 17 Mastel" s by dept. 6 Teaching Assistantship (29) 3500-5150 9 * 6-7° Teaching Ph. D. (1973-1975 incl.) A&NT 2, G&T 1, A&FA 5, P&S 2. Total: 10 *Varies, maximum of $94 per quarter.

University of Montana, Missoula 59801 DEPARTMENT OF MATHEMATICS Applications due: 4/1/76 Bachelor's by inst. 1229 William R. Ballard, Chairman Bachelor's by dept. 9 Master's by dept. 3 Teaching Assistantship (20) 2800-3200 9 * 20° Teaching Ph. D. (1973-1975 incl.) A&NT 1, A&FA 1, CS 2, Total: 4 *Residents: $81. 50; nonresidents: $105. 50,

406 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not included hours type Academic year (with number anticipatec:l1976-1977) in dollan months in stipend (dollars) per week of service 1974·1975 NEBRASKA

Kearney State CoUege, Kearney 68847 DEPARTMENT OF MATHEMATICS, STATISTICS AND COMPUTER SCIENCE Applications due: 4/1/76 Bachelor's by inst. 787 L. M. Larsen, Head Bachelor• s by dept. 31 Master• s by dept. 4 Teaching Assistantship (3) 2000 9 6

University of Nebraska, Lincoln 68508 DEPARTMENT OF MATHEMATICS AND STATISTICS Applications due: 3/1/76 Bachelor• s by inst. 3289 David Skoug, Chairman Bachelor• s by dept. 55 Master's by dept. 16 Fellowship (2) 2700-3600 9-12 Teaching Fellowship (42) 3400-4200 9 18/cr. hr. Teaching Ph. D. (1973-1975 incl.) A&NT 2, G&T 2, L 1, A&FA 5, P&S 1. Total: 11

DEPARTMENT OF COMPUTER SCIENCE Applications due: 4/15/76 Bachelor's by inst. 3289 George Nagy, Chairman Bachelor• s by dept. 30 Master's by dept. 8 Teaching Assistantship (11) 3300-4000 9 600 18 Teaching Research Assistantship (10) 3300-4000 9 600 18 Research Scholarship (2) 0-1000 9 600-1300

University of Nebraska at Omaha 68101 DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE Applications due: 4/1/76 Bachelor's by inst. 1852 Margaret P. Gessaman, Chairwoman Bachelor• s by dept. 15 Master's by dept. 3 Teaching Assistantship (4) 3009.96 9 * 6 Teaching *Residents: $162 per semester; nonresidents: $432 per semester. NEVADA University of Nevada, Las Vegas 89154 DEPARTMENT OF MATHEMATICS Applications due: * Bachelor's by inst. 546 S. Verma, Chairman Bachelor• s by dept. 5 Master• s by dept. 5 Teaching Assistantship (10) 3000-3200 10 2/cr. 5-6cr./sem. *Fall 1976: 4/15/76; Spring 1977: 10/1/76.

Ph. D. in Mathematical Sciences at the UNIVERSITY OF MONTANA

This program for the advanced training of college mathematics teachers and other mathematical"generalists" has been developed with the aid of a grant from the Advanced Training Projects, NSF Division of Graduate Education.

It emphasizes breadth of knowledge, skill in the communication of mathematical thought, an awareness of the influence of mathematics on modern society and intellectual life, and the development of a sense of vocation as teacher and scholar. It provides opportunity for traditional or non-traditional thesis work, within pure mathematics or in interdisciplinary projects. For details, please write for the "Ph.D. Packet" to Chairman, Graduate Committee Mathematics Department, University of Montana Missoula, Montana 59801

407 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of ftnandal auistance amount 9 or 12 if IMtt indudecl hours type Academic PI!'' (with numberantlcipated1976·1977) in dollan manths In sHpand ( dollan) par wHk .,...,ice 1974-1975

University of Nevada, Reno 89507 DEPARTMENT OF MATHEMATICS Applications due: 3/15/76 Bachelor's by tnst. 862 E. M. Beesley, Chairman Bachelor's by dept. 12 Master• s by dept. 2 Teaching Assistantship (1) 3000-3400 9 20

NEW HAMPSHmE Dartmouth College, Hanover 03755 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor• s by inst. 804 Richard H. Crowell, Chairman Bachelor• s by dept. 35 Master• s by dept. 4 Teaching Fellowship (19) 2997 9 4-10 Teaching Research Assistantship (1) 2997 9 4-10 Teaching Ph. D. (1973-1975 incl.) A&NT 5, G&T 4, L 5, A&FA 2, P&S 1, other 1. University of New Hampshire, Durham 03824 Tnt~l· 1 R DEPARTMENT OF MATHEMATICS Bachelor• s by inst. 2000 Richard H. Baldmenos, Acting Chairman Bachelor's by dept. 65 Master• s by dept. 12 Teaching Assistantship (18) 3000-3200 9 10 Teaching Scholarship (40) 9 Ph. D. (1973-1975 incl.) UNH (4) 3000 g A&NT 2, G&T 1, A&FA 1, AM 1. Total: 5 NEW JERSEY Fairleigh Dickinson University, Madison 07940 DEPARTMENT OF MATHEMATICS AND PHYSICS Applications due: 4/1/76 Bachelor's by inst. 446 H.A. Elkholy, Chairperson Bachelor• s by dept. 13 Master• s by dept. Teaching Fellowship (3) 3000 9 6 3 Kean College of New Jersey, Union 07083 DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE Applications due: 5/15/76 Bachelor• s by inst. 1734 Stanley Lipson, Chairman Bachelor's by dept. 65 Master's by dept. 16 Teaching Assistantship (1) 3600 9 20 Montclair State College, Upper Montclair 07043 DEPARTMENT OF MATHEMATICS Applications due: 4/15/76 Bachelor• s by inst. 1810 Robert Garfunkel, Chairman Bachelor's by dept. 101 Master• s by dept. 45 Teaching Assistantship (4) 2500 9 6c Teaching Princeton University, Princeton 08540 DEPARTMENT OF MATHEMATICS Applications due: 2/15/76 Bachelor• s by inst. 1020 Joseph J. Kohn, Chairman Bachelor• s by dept. 16 Fellowship (30) 1700-5400 9-12 Master• s by dept. 14 Teaching Assistantship (11)* 3400-4000 10 20 Ph. D. (1973-1975 incl.) Research Assistantship (12)* 2500-3000 10 A&NT 15, G&T 24, L 1, A&FA 12, P&S 1, CS 1, AM 1, Other 2. Total: 57 *Most assistants 1/2 teaching, 1/2 research.

Rutgers University, New Brunswick 08903 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor's by inst. 5122 Daniel Gorenstein, Chairman Bachelor's by dept. 34 Master• s by dept. 18 Teaching Assistantship (43) 3710-4080 9 5-6 Teaching Research Assistantship (16) 3710-4080 9 Ph. D. (1973-1975 incl.) A&NT 16, G&T 4, L 5, A&FA 10, P&S 1. Total: 36

DEPARTMENT OF COMPUTER SCIENCE Applications due: 3/1/76 Bachelor's by lnst. 5122 Saul Amarel, Chairman Bachelor's by dept. 16 Master• s by dept. 39 Teaching Assistantship (15) 3710-4080 9 15 Teaching Research Assistantship (27) 3710-4080 9 15 Research Ph. D. (1973-1975 incl.) 5310-5680 12 CS 2. Total: 2 Teaching Adjunct (5) 4130 9 35/cr. 15 Teaching

408 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AVVARDED offlnonclal- amount 9 or 12 if notlndudad houro type AcaclemlcyMr (with num1Morantlclpatecll976·1977) indollan months In otipantl ( tlollaro) par wook ofHrvlce 1974-1975

DEPARTMENT OF STATISTICS Applications due: 3/1/76 Bachelor• s by inst. 5122 Arthur Cohen, Chairman Bachelor• s by dept. 3 Master• s by dept. 24 Teaching Assistantship (9) 3710-4080 9 * 15 Teaching Research Assistantship (8) 3710-4080 9 * 15 Research, Ph. D. (1973-1975 incl.) consulting P&S 5. Total:5 *Residents: $420; nonresidents: $600. Seton Hall University, South Orange 07079 DEPARTMENT OF MATHEMATICS Applications due: 3/15/76 Bachelor• s by inst. 1180 Charles H. Franke, Chairman Bachelor• s by dept. 15 Master• s by dept. 6 Teaching Assistantship (10) 2200 9 6c Teaching Stevens Institute of Technology, Hoboken 07030 DEPARTMENT OF MATHEMATICS Applications due: 2/15/76 Bachelor's by inst. 237 Roger S. Pinkham, Head Bachelor• s by dept. 20 Master• s by dept. 32 Fellowship (3) 2500-2900 9 Teaching Assistantship (7) 2800-3100 9 3c Teaching Ph. D. (1973-1975 incl.) Graduate Aids (3) 500-1500 9 35/cr. 5-15 Teaching A&NT 1, G&T 1, L 2, A&FA 4, P&S 2, AM 2. Total: 12 Trenton State College, Trenton 08625 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 8/1/76 Bachelor• s by inst. 1837 Siegfried Haeriisch, Chairman Bachelor's by dept. 26 Master• s by dept. 15 Teaching Assistantship (2) 2000 9 12-15 NEW MEXICO Eastern New Mexico University, Portales 88130 DIVISION OF MATHEMATICS, COMPUTER SCIENCE AND STATISTICS Applications due: 4/15/76 Bachelor• s by inst. 319 William G. Calton, Director Bachelor• s by dept. 12 c Master• s by dept. 3 Teaching Assistantship (4) 3600 9 6 New Mexico Highlands University, Las Vegas 87701 DEPARTMENT OF MATHEMATICS Applications due: 4/1/76 Master• s by dept. 2 V.J. Llamas, Chairman Teaching Assistantship (3) 2000 9 12 Teaching New Mexico Institute of Mining and Technology, Socorro 87801 DEPARTMENT OF MATHEMATICS Applications due: 3/30/76 Bachelor's by inst. 103 Alan Sharples, Chairman Bachelor• s by dept. 11 Master• s by dept. 3 Teaching Assistantship (5) 2800-2950 9 5-6 Teaching

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NEW BRUNSWICK Applications are invited for mathematicians for junior level positions in all specialties who have out- I standing research ability in pure or applied mathematicis and concern for teaching. Applications should be sent to: Uani..t (;or.. nstrin, Chairman Bt•partm.. nt of :\lath.. matics at :\,.w Brunswick Rt·n;ERS l":\1\"1-:RSITY II ill Cf'll t cr :\t•w Brun~wi<-k, :\,.w j,.rst"\" 08903 L . Equal Opportunity 1Affirmative Action Employer c=caccccccccaccaa~c=cocccccacacccacacccocccccccaaccccccccccccccccac~

409 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial a11istance amount 9 or 12 if not induded hours typo Acoclemic y•r (with number anticipated 1976-1977) in dollars months in stipend (dollars) per week ofHrvice 1974-1975

New Mexico State University, Las Cruces 88003 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 3/1/76 Bachelor• s by inst. 1271 John D. DePree, Chairman Bachelor' s by dept. 17 Master• s by dept. 4 Fellowship (1) 4300 9 Teaching Assistantship (23) 3300-4300 9 200/sem. 20 Teaching Ph. D. (1973-1975 incl.) Research Assistantship (2) 3300-4300 9 200/sem. 20 Tutorial A&NT 8, G&T 2, L 1, P&S 2, CS 3, AM 1, other 1. Total: 18

DEPARTMENT OF COMPUTER SCIENCE Applications due: 3/15/76 Bachelor• s by inst. 1271 J. Mack Adams, Head Bachelor' s by dept. 17 Master's by dept. 7 Teaching Fellowship (5) 2950 9 20 Teaching University of New Mexico, Albuquerque 87131 DEPARTMENT OF MATHEMATICS AND STATISTICS Applications due: 2/15/76 Bachelor• s by inst. 2156 Art steger, Chairman Bachelor• s by dept. 25 Master• s by dept. 3 Teaching Assistantship (26) 3100-3300 9 Ph. D. (1973-1975 incl.) A&NT 1, L 2, A&FA 3, P&S 10, CS 2, AM 3. Total: 21 NEW YORK Adelphi University, Garden City 11530 DEPARTMENT OF MATHEMATICS Applications due: 2/15/76 Bachelor' s by inst. 820 Donald Hammer, Chairman Bachelor• s by dept. 10 Teaching Assistantship (10) 2400-3800 9 5-6c Teaching Master• s by dept. 24 Research Assistantship (3) 2850-3150 9 20 Program- Ph. D. (1973-1975 incl.) Scholarship (5) ming & A&NT 4, A&FA 1, CS 1, research AM 2, other 1. Total: 9 City University of New York, Brooklyn College, Brooklyn 11210 DEPARTMENT OF MATHEMATICS Applications due: 4/1/76 Bachelor• s by inst. 3463 Lester L. Gavurin, Chairman Bachelor• s by dept. 75 Teaching Assistantship (2) 6350-8775 9 8c Teaching Master• s by dept. 19

City University of New York, City College, New York 10031 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor• s by inst. 2451 Jonah Mann, Chairman Bachelor• s by dept. 93 Fellowship (1) 2000-4760 9 750/sem. 0-4c Master• s by dept. 6 Teaching Assistantship (14) 2600-5520 9 750/sem. 4-8c

City University ot New York, Graduate School, New York 10036 DEPARTMENT OF MATHEMATICS Applications due: 4/1/76 Ph. D. (1973-1975 incl.) Richard Sacksteder, Chairman A&NT 1, G&T 4, L 1, Fellowship (4) 2000 12 * 12 A&FA 7, AM4. Total: 17 Teaching Assistantship (45) 3175-6500 9 * 3-9c Research Assistantship (2) 3175 12 * 12 Private (1) 4800 9 *$450-$750 per semester, depending on course level.

NEW MEXICO STATE UNIVERSITY A Mathematical Oasis in the Sunny Southwest The Department of Mathematical Sciences offers programs leading to the M.S. and Ph. D. degrees. While maintaining its strong program in pure mathematics, the department has broadened its course offerings in applied mathematics and statistics for those students who plan a nonacademic career. Private offices are provided for all teaching assistants and fellows. There are two terminals in the mathematics building providing access to the university's IBM360-65 computer. As there are 32 faculty members and approximately 40 graduate students there is ample opportunity for close contact between students and faculty.

Write: Prof. John B. Giever, Dept. Mathematical Sciences Box MB, NMSU, Las Cruces, New Mexico 88003 Infor>rnation contained in written applications for these positions will be used in reports to HEW unless the applicant prohibits this in writing. NMSU in an Equal Employment/Affirmative Action Employer . . aacccccooocacooccccooaccc~ ccccccacccococcco caoccococcccccocoocaccccaccoccccocaccccc::cccc::cQCCcccc: 410 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of Rnancialauistance amount 9 or 12 If not Included hours Aca•mlcJMr (wilh numloeranticipated 1976-1977) inclollars montho In odpencl ( clollars) par WHk 1974-1975 City University of New York, Hunter College, New York 10021 DEPARTMENT OF MATHEMATICS Applications due: 2/20/76 Bachelor• s by inst. 1636 Barry M. Cherkas, Chairman Bachelor• s by dept, 27 Master• s by dept, 4 Teaching Assistantship (17) 3960-4620 9 75/cr. 6-7c Teaching Scholarship (1) 400-600 Part-time Lecturer (2) 6350-8175 9 75/cr. 6-Bc Teaching City University of New York, Lehman College, Bronx 10468 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor• s by inst. 1400 Paul Meyer, Chairman Bachelor• s by dept. 75 Teaching Assistantship (3) 2000-4000 9 3-6c Teaching Master• s by dept, 12 City University of New York, Queens College, Flushing 11367 DEPARTMENT OF MATHEMATICS Applications due: 4/1/76 Bachelor• s by inst. 4003 Joseph Hershenov, Chairman Bachelor• s by dept, 104 Master• s by dept. 5 Teaching Assistantship (4) 1980-6350 9 75/cr, 3-8 Teaching Columbia University, New York 10027 DEPARTMENT OF MATHEMATICS Applications due: 1/5/76 Bachelor's by inst. 1389 Hyman Bass, Chairman Bachelor• s by dept. 34 Master• s by dept,* Fellowship (40) 3000-4000 9 or 12 * Ph. D. (1973-1975 incl.) A&NT 10, G&T 7, A&FA 8, CS 1. Total: 26 *Students accepted as Ph, D. candidates only. All graduate students currently granted 4 years of support with tuition exemption, Students required to serve as teaching assistants for 2 out of the 4 years.

The Doctoral Program in Mathematics of The City University of New York is at the Graduate School and University Center Building of CUNY in Mid-Manhattan, opposite the Public Library and Bryant Park. Advanced students have office space and there is an excellent department library. The student body is small enough to facilitate close contact with the staff. Currently, the staff consists of Richard Sacksteder, Executive Officer; louis Auslander, Michel l. Balinski, Gilbert Baumslag, Isaac Chavel, Harvey Cohn, Eldon Dyer, Joan Dyer, Edgar A. Feldman, Alex Heller, Alan J. Hoffman, Richard E. Isaac, Stanley Kaplan, Linda Keen, Joseph lewittes, Edwin E. Moise, Martin Moskowitz, Burton Randol, Harry E. Rauch, Theodore J. Rivlin, Joseph Roitberg, Raymond Smullyan, Michael Shub, Alphonse T. Vasquez, H. Peyton Young. For a description of courses currently offered and other information, write to the Executive Officer in Mathematics Graduate School THE CITY UNIVERSITY OF NEW YORK 33 West 42nd Street New York, New York 10036

THE DEPARTMENT OF MATHEMATICS CLARKSON COLLEGE OF TECHNOLOGY Graduate Study DEGREES: M. S. and Ph. D. FIELDS: Applied Mathematics, Numerical Analysis, Applied Probability, Statistics, Theory and Appli­ cation of Matrices, Functional Analysis, and Computer Science. FINANCIAL AID: Teaching Assistantships, and Fellowships available. ADDRESS INQUIRIES TO: Chairman, Graduate Committee Department of Mathematics CLARKSON COLLEGE OF TECHNOLOGY Potsdam, New York 13676

411 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not included hours type Acaclemkyear (with number anticipated 1976·1977) in dollars months in stipend (dollars) per week ofser~ice 1974-1975 DEPARTMENT OF ELECTRICAL ENGINEERING AND COMPUTER SCIENCE Applications due: 1/1/76 Bachelor' s by inst. 1389 Omar Wing, Chairman Bachelor• s by dept. 32 Master• s by dept. 59 Fellowship (8) 6867 9 Teaching Assistantship (12) 4175 9 * Conduct Ph. D. (1973-1975 incl.) recitation CS 1, other 6. Total: 7 sessions, lab. hrs. Research Assistantship (10) 5675-5875 12 20 Research Scholarship (3) 3867 9 Grader (5) 2100 9 Correct and grade course work Reader (4) 2100 9 * Correct and grade course *Hours depend on courses assigned. work

DEPARTMENT OF MATHEMATICAL STATISTICS Applications due: 1/6/76 Bachelor• s by inst. 389 Howard Levene, Chairman Bachelor• s by dept. 6 Master• s by dept. 13 Fellowship (12) 2475 9 10 c Teaching Research Assistantship (3) 2475 9 Research Ph. D. (1973-1975 incl.) P&s13. Total: 13 Columbia University, Teachers CoUege, New York 10027 DEPARTMENT OF MATHEMATICS EDUCATION Applications due: 2/1/76 Master's by dept. 20 Bruce K. Vogeli, Chairman Ph. D. (1973-1975 incl.) Fellowship (6) 1000-3200 9-12 117/cr. Other 36. Total: 36 Cornell University, Ithaca 14850 DEPARTMENT OF MATHEMATICS Applications due: 2/1/76 Bachelor• s by dept. 40 Oscar S. Rothaus, Chairman Master• s by dept. 6 Fellowship (4) 2600-3300 9 0-4 Ph. D. (1973-1975 incl. ) Teaching Assistantship (44) 3000-3100 9 15 A&NT 8, G&T 12, L 6, Research Assistantship (4) 2600-3300 9 0-4 A&FA 8, P&S 7. Total: 41 CENTER FOR APPLIED MATHEMATICS Applications due: 2/1/76 Master• s by dept. 4 H. Bramble, Director James Ph. D. (1973-1975 incl.) Fellowship (5) 2600-3600 9 AM 13. Total: 13 Teaching Assistantship (16) 3000-3100 9 15 Teaching, grading Research Assistantship (5) 2700 9 & 12 15 Research

DEPARTMENT OF OPERATIONS RESEARCH Applications due: 2/1/76 Bachelor• s by dept. 78 Robert Bechhofer, Director Master' s by dept. 27 Fellowship (4) 2500-4000 9 Ph. D. (1973-1975 incl.) Teaching Fellowship (1) 2500-2700 9 15 Teaching P&S 6, other 16. Total: 22 Teaching Assistantship (13) 2900-3400 9 15 Teaching Research Assistantship (11) 2700-3200 9 15 Research Scholarship (3) 9

FIELD OF STATISTICS AND RELATED DEPARTMENTS Applications due: 2/1/76 Bachelor• s by dept. 5 W. T. Federer, Director of Statistics Center Master's by dept. 6 Teaching Assistantship (5-6) 3000-4500 9 & 12 15 Ph. D. (1973-1975 incl.) Research Assistantship (1-2) 15 P&S 15. Total: 15 NIH Training Grant (10)* 3900 12 10 *Applied for.

Fordham University, New York 10458 DEPARTMENT OF MATHEMATICS Applications due: 2/1/76 Bachelor• s by inst. 1714 Yuh-ching Chen, Chairman Bachelor• s by dept. 31 Master• s by dept. 3 Fellowship (1) 2400-3600 9 Teaching Fellowship (4) 2400-3600 9 3 Teaching Ph. D. (1973-1975 incl.) Teaching Assistantship (7) 2400-3600 9 8 Miscellan- A&NT 1, A&FA 1. Total: 2 eous Scholarship (10) 9 Hofstra University, Hempstead 11550 DEPARTMENT OF MATHEMATICS Applications due: 2/15/76 Bachelor• s by inst. 1300 Edward G. Ostling, Chairman Bachelor• s by dept. 30 Master's by dept. 4 Fellowship (2-3) 3000 9 95/cr. 3 Tutoring Teaching Assistantship (2-3) 744-828 * 95/cr. 8c Teaching *5 weeks in summer. 412 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED ., llnanclal ....._ .. amount 9or12 lfnetlndudell houn typa Acadomlcyear (with nu~ anlicipa.... l976·1977) in dollars month• In oHpand (dollars) par w ..k .,....,leo 1974-1975 t.g blud University, Brooklyn 11201 DEPARTMENT OF MATHEMATICS Applications due: * Bachelor• s by inst. 350 Morton J. Hellman, Chairman Bachelor• s by dept. 3 3 Teaching Fellowship (1) 2200 9 9 Master• s by dept. Ph. D. (1973-1975 incl.) P&S 1. Total: 1 *Before beginning of each term. Loag Island UDiversity, C. W. Post CoUege, Greennle 11548 DEPARTMENT OF MATHEMATICS Applications due: 6/1/76 Bachelor• s by inst. 1272 John C. Stevenson, Chairman Bachelor's by dept. 10 Master• s by dept. 10 Teaching Assistantship (2) 1800-2200 9 12 New York University-Couraat Institute of Mathematical Sciences, New York 10012 DEPARTMENT OF MATHEMATICS Applications due: 1/14/76 Master• s by dept. 57 Peter D. Lax, Director, Courant Institute of Mathematical Sciences Ph. D. (1973-1975 incl.) Jerome Berkowitz, Chairman, Department of Mathematics A&NT 15, L 3, A&FA 6, Fellowship (4) 3600 9 Individual P&S 7, CS 5, AM 16, Research Assistantship (35) 3600 9 Individual other 1. Total: 53 Scholarship (7) DEPARTMENT OF COMPUTER SCIENCE Applications due: 1/14/76 Bachelor's by inst. 1034 Peter D. Lax, Director of Courant Institute Bachelor's by dept. 19 J. T. Schwartz, Chairman, Department of Computer Science Master• s by dept. 15 Teaching Assistantship (3) 3600 9 12 Tutoring Ph. D. (1973-1975 incl.) Research Assistantship (20) 3600 9 Individual CS 5. Total: 5

Polyteclmie Institute of New York, Brooklyn 11201 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor• s by inst. 391 Harry Hochstadt, Chairman Bachelor• s by dept. 26 Master• s by dept. 12 Teaching Fellowship (12) 2000-2400 9 4c Teaching Ph. D. (1973-1975 incl.) A&NT 2, G&T 2, A&FA 13, CS 2, AM 2. Total: 21

Rensselaer Polytechnic Institute, Troy 12181 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 2/1/76 Bachelor's by inst. 800 Richard C. DiPrima, Chairman Bachelor's by dept. 60 Master• s by dept. 42 Teaching Assistantship (30) 3000-3600 9 20 Teaching, grading Ph. D. (1973-1975 incl.) Research Assistantship (6) 3000-3600 9 20 Research A&NT 2, A&FA 7, P&S 1, Scholarship (30) CS 4, AM 11, other 7. * Total: 32 *Depends on need. r~~:~~~~;:~=:~~l !\! FIELDS: Applied Mathematics, Algebra, Analysis, Probability, Statistics, etc. p ll~~~=3~~~2JI

413 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of flnancialauiltanCII amount 9or12 lfnotlncluded hours typa Actodemlc par (with nurnberantlcipatad1976-1977) ...... months In sflpand ( ..Iars) par wook ofsorvlce 1974-1975 St. John's University, Jamaica 11439 DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE Applications due: 4/30/76 Bachelor• s by inst. 3200 Edward J. Miranda, Chairman Master•s by dept. 15 Teaching Assistantship (9) 2400-2600 9 15 State University College at Brockport 14420 DEPARTMENT OF MATHEMATICS Applications due: 3/15/76 Bachelor• s by !nst. 1300 Edward 0. Stephany, Chairman Bachelor's by dept. 90 Master's by dept. 8 Teaching Assistantship (3) 2500 9 15c

State University College at Buffalo 14222 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor's by inst. 1800 Richard A. Wiesen, Chairman Bachelor's by dept, 40 Master• s by dept, 15 Teaching Assistantship (4) 2750 9 3c Teaching

State University College at Cortland 13045 DEPARTMENT OF MATHEMATICS Applications due: 2/1/76 Bachelor• s by !nst, 1100 Thomas O• Loughlin, Chairman Bachelor's by dept. 30 Master• s by dept. 5 Teaching Assistantship (1)* 2500 9 20 Teaching *Current financial situation leaves a good deal of doubt as to whether any assistantships will be available.

State University College at Fredonia 14063 DEPARTMENT OF MATHEMATICS Applications due: 4/15/76 Bachelor• s by inst. 851 Frank R. Olson, Chairman Bachelor• s by dept. 29 Master• s by dept, 7 Teaching Assistantship (4) 2200 9 4 State University College at New Paltz 12561 DEPARTMENT OF MATHEMATICS Applications due: 4/1/76 Bachelor's by inst. 670 S, Anastasio, Chairman Bachelor' s by dept, 14 Master• s by dept, 8 Teaching Assistantship (4)* 2400 9 3c Teaching *M.S. in Education candidates only.

State University College at Oswego 13126 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor• s by inst. 1600 Richard C. Orr, Chairman Bachelor• s by dept, 60 Mastel" s by dept. 2 Teaching Assistantship (12) 3000 9 State University College at Plattsburgh 12901 DEPARTMENT OF MATHEMATICS Applications due: 2/1/76* Bachelor• s by inst. 1058 Lonnie Fairchild, Chairman Bachelor• s by dept, 24 2 Teaching Assistantship (1) 2500 9 9_11/sem, Master's by dept. *Applications are continuously accepted. cccaccc ace ccc :ccccccc;;~~c~c~;;~~~cc~;;;~~~c~~~~cccc ~==accccccccc=l

An urban university in a suburban setting ... within easy travel distance of some of the world's richest cultural and research resources. The Mathematics faculty is actively engaged in research relating to fluid dynamics, diffraction theory, I graph theory, statistics, operations research, ordinary differential equations, control theory, functional analysis, point set topology, elasticity, and computer science. Graduate work leading to the Master of Arts is offered in both pure and applied mathematics. A number of graduate assistantships will be available for the academic year 1976-77. Interested students are requested to write: Edward J, .\liranda, Chairman Department of Mathematics and Computer Science-St. John's University:J Jamaica, New York 11439

An Equal Opportunity Employer-M/ F. occaccocccaaccaoaQc cacccacccccccccccccacccccccccocccccccccccccccac•

414 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of Rnancial a11istance amount 9 or 12 if not included houn type Academic year (with number anticipated 1976·1977) in dollars months in stipend (dollars} per week of service 1974-1975 State University of New York at Albany 12222 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor• s by inst. 1436 Thomas H. MacGregor, Chairman Bachelor• s by dept. 100 Master• s by dept. 7 Fellowship (1) 3000 9 Research Teaching Assistantship (22) 2800-3200 9 4 Teaching Ph. D. (1973-1975 incl.) G&T 2, A&FA 7. Total: 9

DEPARTMENT OF COMPUTER SCIENCE Applications due: 4/1/76 Bachelor• s by inst. 1436 Dean N. Arden, Acting Chairman Master's by dept. 6 Teaching Assistantship (7) 2800 9 15 Teaching

State University of ~ew York at Binghamton 13901 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 3/1/76 Bachelor• s by inst. 1231 Louis F. McAuley, Chairman Bachelor's by dept. 46 Master• s by dept. 14 Fellowship (7) 2500-3900 9-12 Teaching Fellowship (12) 1000-3900 9 4-8 Assisting Ph. D. (1973-1975 incl.) Teaching Assistantship (17) 2500-3900 9 4c Teaching A&NT 1, G&T 7. Total: 8 Research Assistantship (2) 3600-3900 12 20 Research

State University of New York at Buffalo, Amherst 14226 DEPARTMENT OF MATHEMATICS Applications due: * Bachelor• s by inst. 3143 Nicholas D. Kazarinoff, Chairman Bachelor• s by dept. 61 Master• s by dept. 9 Fellowship (3) 3000-4000 12 Teaching Assistantship (30) 3000-3400 9 10-12 Ph. D. (1973-1975 incl.) Other (8) 2600-3000 9 Varies :i\&NT 10, G&T 3, L 1, Graduate Assistantship (14) 3000-3400 9 10-12 A&FA 3, AM 3. Total: 20 DEPARTMENT OF COMPUTER SCIENCE Applications due: 2/15/76 Bachelor• s by inst. 3143 Anthony Ralston, Chairman Bachelor• s by dept. 22 Master• s by dept. 7 Fellowship (2) 3000-4000 12 Teaching Assistantship (8) 3300-3700 9 16 * Ph. D. (1973-1975 incl.) Research Assistantship (5) 3300-3700 9 16 ** CS 7. Total: 7 Graduate Assistantship (8) 3300-3700 9 16 *** *Assist in undergraduate courses. **Research with faculty. ***In User Services at computing center.

STATE UNIVERSITY OF NEW YORK AT ALBANY SUNY at Albany offers graduate courses in pure and applied mathematics toward the M.A. and Ph.D. degrees. Classes are small, and many opportunities exist for individual work with faculty members. The faculty is relatively young, highly active in research, and is known for its scholarly contributions to mathematics. Faculty-student seminars on current research work are held each semester. There is a varied program of visiting mathematicians for colloquia and symposia. The library holdings in mathematics are excellent and contain over 200 current subscriptions to mathematical journals. The department's teletype terminals access the University's UNIVAC 1110. Studies leading to the Ph.D. are offered in the following fields: algebra, algebraic geometry, algebraic topology, commutative algebra, complex analysis, control theory, differential topology, ergodic theory, functional analysis, function algebras, geometry, global analysis, harmonic analysis, number theory, partial differential equations, probability, real analysis, several complex variables, statistics, stochastic processes, summability, transformation groups. Graduate Faculty for 1975-1976: G. Allaud, L. Brickman, H. Brown, L. Childs, V. Cowling, E. Davis, M. Ellis, N. Friedman, R. Goldstein, H. Gordon, W. Gordon, W. Haboush, R. Hall, W. Hammond, R. Hornblower, B. Jamison, J ..Jenkins, M. Katz, T. Lance, V. Lamey, L. Lininger, T. MacGregor, G. Mangano. G. Martin, J. Myers, R. Nirenberg, H. Ogawa, R. O'Neil, M. Range, R. Rupp, M. Sherman, M. Smiley, J. Stanshine, H. Stratton, M. Suryanarayana, E. Thomas, E. Turner, N. X. Uy, D. Wilken, N. Winarsky. For information on financial assistance and application procedures write to: Graduate Chairman Department of Mathematics SUNY AT ALBANY Albany, New York 12222 (An Equal Opportunity Employer)

415 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of Rnancial assistance amount 9 or 12 if not included hours type Acaclemicy"r (with number anticipatecl1976·1977) in dollars months in stipend {dollan) per week of service 1974-1975

STATISTICAL SCIENCE DIVISION, DEPARTMENT OF COMPUTER SCIENCE Applications due: 2/15/76 Bachelor• s by inst, 3143 Emanuel Parzen, Director Master• s by dept, 2 Fellowship (2) 3000-4000 12 16 Teaching Ph. D. (1973-1975 incl.) and P&S 2, Total: 2 research Teaching Assistantship (7) 3200-3500 9 16 Teaching and research Research Assistantship (5) 2800-4000 12 16 Teaching and research State University of New York at Stony Brook 11794 DEPARTMENT OF MATHEMATICS Applications due: 3/31/76 Bachelors by inst, 2305 Irwin Kra, Chairman Bachelor• s by dept. 40 Master• s by dept. 21 Fellowship (5)* 3500-3905 9 9-12 Teaching Teaching Assistantship (46)* 3000-3905 9 9-12 Teaching Ph, D. (1973-1975 incl.) A&NT 7, G&T 4, A&FA 7. Total: 18 *See advertisement for more details.

DEPARTMENT OF APPLIED MATHEMATICS AND STATISTICS Applications due: * Bachelor• s by inst. 2305 Edward J. Beltrami, Chairman Bachelor• s by dept, 54 Master• s by dept. 28 Fellowship (3) 3500 9 Teaching Assistantship (20) 1500-3000 9 up to 750 10-20 Teaching Ph. D. (1973-1975 incl.) Research Assistantship (29) 1500-3000 9 up to 750 10-20 Research, P&S 1, CS 1, Total: 2 grading Scholarship (tuition) (8) 9 Federal Work Study (3) 750-3000 9 1500 10-20 *Fellowships: 1/1/76; Assistantships: 3/1/76.

STATE UNIVERSITY OF NEW YORK AT BUFFALO Graduate Assistantships are available in various amounts (this year from $3000 to $3400) with remission of tuition. Duties may include lecturing, conducting recitation sections or grading papers. Also, SUNY at Buffalo offers graduate fellowships at $3000 for a one year appointment, and $4000 per year for a three year appointment, plus waiver of tuition. Last year three of these fellowships were awarded to students in the Department of Mathematics. A number of summer teaching appointments are customarily offered. SUNY at Buffalo has an active program in graduate mathematics leading to both M.A. and Ph.D. degrees. Doctorates are offered in algebra, real and complex analysis, differential equations, applied mathematics, functional analysis, logic, number theory, and topology. Interdisciplinary work, especially in mathematical biology, is being expanded and encouraged. For additional information and application forms, write to: Director of Graduate Studies-Department of Mathematics STATE UNIVERSITY OF NEW YORK AT BUFFALO 4246 Ridge Lea Road-Amherst, New York 14226

STATE UNIVERSITY OF NEW YORK AT BUFFALO The Deportment of Mathematics intends to award George William Hill and Emmy Noether Research Instructorships All re­ to young mathematicians who ore recent Ph.D.'s thereby enabling them to corry forward a research program. quirements for the Ph.D. must be completed by September 1, 1976. We intend to award one Research Instructorship The in Applied Mathematics and one in Pure Mathematics for 1976-1978 with each appointment being for two years. total twelve-month stipend, beginning September 1976, is $16,200 including generous staff benefits. Teaching load will con­ two one-semester courses during the twelve-month period. Upon expiration of the two-year appointment, priority sideration for a two-year appointment as assistant professor will be given and will be based upon success and potential in both research and teaching. Each applicant should prepare a summary of his or her post-high school educational background, as well as a sketch of past and projected research activity, and should request at least three mathematicians letters to send letters of recommendation. Application forms ore available upon request. Application and supporting should be sent to Chairman-Department of Mathematics SUNY at Buffolo-4246 Ridge Leo Rood-Amherst, New York 14226 Equal so as to arrive by January 20, 1976. Appointments are expected to be mode shortly thereafter. SUNY at Buffalo is on Opportunity/Affirmative Action Employer. We especially invite applications from women and minority mathematicians.

416 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED

of financial assistance amount 9 or 12 if not included houn type Academic year {with number anticipated 1976·1977) in dollan months in stipend ( dollan) per week of service 1974-1975

DEPARTMENT OF COMPUTER SCIENCE Applications due: 2/1/76 Bachelor• s by inst. 2305 Aaron Finerman, Chairman Bachelor• s by dept. 33 Master• s by dept. 18 Fellowship (1) 3500 9 Teaching Assistantship (28)* 3000 9 20 Teaching Ph. D. (1973-1975 incl.) Research Assistantship (8)* 3000 9 20 Research CS 10. Total: 10 Industry (1) 1200 9 *Expected to be increased. Syracuse University, Syracuse 13210 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor• s by inst. 3307 Erik Hemmingsen, Chairman Bachelor• s by dept. 21 Master• s by dept. 12 Fellowship (1) 4000 9 Study Teaching Assistantship (25) 3100-3700 9 6 Ph. D. (1973-1975 incl.) A&NT 5, G&T 5, L 1, A&FA 13, CS 3. Total: 27

DEPARTMENT OF SYSTEMS AND INFORMATION SCIENCE Applications due: 3/1/76 Bachelor• s by inst. 3307 Warren Semon, Director Bachelor• s by dept. 6 Master• s by dept. 30 Fellowship (2) 4000 9 Teaching Assistantship (5) 3180 9 20 Teaching Ph. D. (1973-1975 incl.) Research Assistantship (1) 5425 20 Research CS 21. Total: 21 (40-Summer) University of Rochester, Rochester 14627 DEPARTMENT OF MATHEMATICS Applications due: 2/15/76 Bachelor• s by inst. 1145 Gail S. Young, Chairman Bachelor• s by dept. 43 Master• s by dept. 5 Fellowship (10) * 1000 9 Teaching Assistantship (25)* 1600-3000 9 2-3c Teaching Ph. D. (1973-1975 incl.) Scholarship (10) 9 A&NT 3, G&T 3, A&FA 6, P&S 1, Other 1. Total: 14 *It is possible for a student to be awarded both a teaching assistantship and a fellowship.

DEPARTMENT OF COMPUTER SCIENCE Applications due: 3/1/76 Bachelor• s by inst. 1145 Jerome A. Feldman, Chairman Fellowship (3) 3000 9 15 Teaching, research Research Assistantship (6) 3000 9 15 Teaching, research

DEPARTMENT OF STATISTICS Applications due: 2/15/76 Bachelor• s by inst. 1145 W. J. Hall, Chairman Bachelor• s by dept. 3 Master• s by dept. 6 Teaching Fellowship } 16 2200-3800 9 12-15 Teaching Assistantship ( ) Ph. D. (1973-1975 incl.) Research Assistantship (1) 3300 9 12-15 P&S 3. Total: 3 Scholarship (3) 9 Tech. Associateship (2) 5300-7300 12 20

THE STATE UNIVERSITY OF NEW YORK AT STONY BROOK A normal traineeship (teaching assistantship) carries a stipend of $3000 and a full tuition waiver. Oc­ casionally fractional traineeships are awarded which carry proportional waivers, e.g., a half fellowship carries a half tuition waiver. Tuition is $1200 per annum for New York residents and $1500 otherwise. Exceptionally qualified students may receive a supplement of $905 and a summer award of $1500. Hence such a student can expect to receive a total stipend of $5405 for the twelve month period beginning in September 1976. In addition to the usual application material, upon receipt of your request, we will send a list of current faculty members and their specialities and a list of recent Ph.D. recipients and their first jobs. Mathematics Department State University of New York at Stony Brook Stony Brook, New York 11794 (An Equal Opportunity Employer)

417 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of Rnancial assistance amount 9 or 12 If not Included hours type Acaclemlc year (with number anticipatod 1976·1977) in dollars month• In &Upend ( dollan) per w"k ofnrvice 1974-1975 Yeshiva University, New York 10033 DEPARTMENT OF MATHEMATICS Applications due: 2/15/76 Bachelor• s.by inst. 279 Stanley Sawyer, Chairman Bachelor• s by dept, 15 10 Teaching Assistantship (11) 2400-3000 9 Teaching orMaster' s by dept, equivalent Ph. D. (1973-1975 incl.) Research Assistantship (2) 2400-3000 9 A&NT 2, L 2, A&FA 7, Scholarship (20) P&S 1. Total: 12

NORTH CAROIJNA

Appalachian State University, Boone 28607 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 4/1/76 Bachelor• s by inst. 1500 Mike Perry, Chairman Bachelor• s by dept. 32 Master• s by dept. 10 Teaching Fellowship (7) 1800-3200 9 530/yr. 12-20 Teaching Duke University, Durham 27706 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor• s by inst. 1349 Seth L. Warner, Chairman Bachelor• s by dept. 22 Master• s by dept. 3 Fellowship (15) 600-7000 12 600-3000 9-15 Teaching Assistantship (15) 600-7000 12 600-3000 9-15 Ph. D. (1973-1975 incl.) Research Assistantship (2) 500-7000 12 600-3000 20 A&NT 5, G&T 3, L 1, A&FA 3, P&S 2, Other 3. Total: 17

DEPARTMENT OF COMPUTER SCIENCE Applications due: 2/1/76 Bachelor• s by inst. 1349 Donald W. Loveland, Chairman Bachelor• s by dept, 1 Master's by dept. 7 Fellowship (3) 6780 12 2880 Teaching Assistantship (4) 4500 9 1728 15-20 Teaching Ph. D. (1973-1975 incl.) Research Assistantship (5) 4500 9 1728 15-20 Research CS 1. Total: 1

East Carolina U Diversity, Greenville 27834 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor• s by inst. 2010 Tnllio J. Pignani, Chairman Bachelor• s by dept, 31 Master• s by dept. 8 Teaching Fellowship (13) 2150 9 * 5 Teaching Computer & Office Institutional Research (4) 2150 9 * 15 Assist in Computer Lab or OIR *$282/yr. (in-state);$1, 830/yr.(out-of-state); $382/yr, (special talent tuition, out-of-state).

North Carolina State University, Raleigh 27607 DEPARTMENT OF MATHEMATICS Applications due: 2/15/76 Bachelor• s by inst. 2138 N.J. Rose, Head Bachelor• s by dept. 46 Master• s by dept. 12 Teaching Assistantship (55) 2333-3700 9 525 4-1oc Teaching Research Assistantship (4) 600 Summer Varies Research Ph. D. (1973-1975 incl.) A&NT 8, G&T 1, A&FA 4. Total: 13

DEPARTMENT OF COMPUTER SCIENCE Applications due: 3/1/76 Bachelor• s by inst. 2138 D.C. Martin, Head Bachelor• s by dept, 75 Master' s by dept. 3 Teaching Assistantship (5) 3200 9 * 20 Teaching Research Assistantship (5) 3200 9 * 20 Research *Residents: $240; nonresidents: $2000. DEPARTMENT OF OPERATIONS RESEARCH Applications due: 2/1/76 Bachelor's by inst. 2138 Salah E. Elmaghraby, Director Ph. D. (1973-1975 Incl.) Teaching Assistantship (2) 3200-3700 9 2100 20 Teaching Other 7. Total: 7 Research Assistantship (2) 3200-3700 9 2100 20 Research

DEPARTMENT OF STATISTICS Applications due: 3/1/76 Bachelor's by inst. 2138 D. D. Mason, Head Bachelor• s by dept, 6 Master• s by dept. 8 Fellowship (11) 3000* 12 0-20 Teaching Assistantship (13) 3100-4500 9 ** 0-20 Teaching Ph. D. (1973-1975 incl.) Research Assistantship (2) 3600-4500 12 ** 0-20 Research P&S 7, other 2. Total: 9 *Maximum depends on allowances. **See catalogue.

418 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AVWARDED of Rnanclal aul1tance amount 9 or 12 If not includect houn typo Aca•mlcyear (with numllerantlclpataol 1976-1977) indollan month1 In 1tlpand ( dollan) par wook .... ,. .. 1974-1975 University of North Carolina, Chapel Hill Z7514 DEPARTMENT OF MATHEMATICS Applications due: 2/1/76 Bachelor• s by inst. 3017 Fred B. Wright, Chairman Bachelor' s by dept, 63 Master• s by dept. 8 Fellowship (1) 2500* 9 208 fees Teaching Fellowship (2) 4000-5150 9 ** 10 Teaching Ph. D. (1973-1975 incl.) 4000-5150 9 20 Teaching Teaching Assistantship (22) ** A&NT 2, G&T 4, A&FA 6, and Other 1. Total: 13 assisting Research Assistantship (2) 2500* 9 ** 12 Research *Amount may be supplemented with partial teaching assistantship. **$256 per year for tuition plus $208 per year for fees.

DEPARTMENT OF BIOSTATISTICS Applications due: 3/15/76 Bachelor's by inst. 3017 James E. Grizzle, Head Master• s by dept. 19 Fellowship (19)* 3900 12 Ph. D. (1973-1975 incl.) Research Assistantship (9) 5400-5800 12 20 Other 28. Total: 28 *All fellowships are for continuing student.

CURRICULUM IN OPERATIONS RES.I!;ARCH AND SYSTEMS ANALYSIS Applications due: 3/1/76 Bachelor• s by inst. 3017 Jon W. Tolle, Chairman Master• s by dept. 8 Fellowship (1) 3000 9 Ph. D. (1973-1975 incl.) Teaching Assistantship (13) 3000-4000 9 260/yr, 8-10 Teaching Other 3. Total: 3 Research Assistantship (4) 3000-3500 9 260/yr, 5-6 Research

DEPARTMENT OF STATISTICS Bachelor• s by inst. 3017 Norman L. Johnson, Chairman Master• s by dept. 2 Fellowship (2) 3600 Ph. D. (1973-1975 incl.) Teaching Assistantship (12) 3100-3200 9 449/yr. Teaching P&S 8. Total: 8 Research Assistantship (12) 3100-3200 9 449/yr, University of North Carolina at Greensboro 27(12 DEPARTMENT OF MATHEMATICS Bachelor• s by inst. 1200 E. E. Posey, Head Bachelor• s by dept. 60 Master• s by dept, 15 Teaching Assistantship (20) 3 200 9 320 6c Teaching Wake Forest University, Winston-Salem Z7109 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor• s by inst. 576 Ivey c. Gentry, Chairman Bachelor• s by dept, 26 Master• s by dept, Fellowship (4) 3800 9 2400 5 Teaching Assistantship (3) 5100-5300 9 2400 12-15 Scholarship (3) 9 NORTH DAKOTA North Dakota State University, Fargo 58102 DEPARTMENT OF MATHEMATICS, COMPUTER SCIENCE AND STATISTICS Applications due: 3/1/76 Bachelor• s by inst. 1179 Robert F. Tidd, Chairman Bachelor• s by dept, 20 Teaching Assistantship (4) 2500-3000 9 25/qtr. 6c Teaching Master• s by dept. 3

University of North Dakota, Grand Forks 58201 DEPARTMENT OF MATHEMATICS Applications due: 4/1/76 Bachelor• s by dept. 25 Ronald Bzoch, Chairman Master• s by dept, 3 Teaching Assistantship (6) 1500-30tl0 9 3-6 Teaching OHIO Bowling Green State University, Bowling Green 43403 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor• s by inst. 2897 W, L, Terwilliger, Chairman Bachelor• s by dept. 90 Master• s by dept, 6 Fellowship (5) 2400 12 Teaching Fellowship (12) 4410 9 50/qtr. 6c Teaching Ph. D. (1973-1975 incl.) Teaching Assistantship (12) 3241 9 50/qtr. 6c Teaching P&S 4. Total: 4 Research Assistantship (1) 4410 12 50/qtr. open Research

419 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 If not indutlod hours type Aaadomicywr (with numlooranticipetocl1976·1977) In dollars months in stipend (dollars) per wHk ofNrvice 1974-1975

DEPARTMENT OF COMPUTER SCIENCE Applications due: 3/15/76 Bachelor's hy inst. 2897 David Fulton, Chairman Bachelor• s by dept. 26 Teaching Master• s by dept. 13 Teaching Assistantship (4) 3250 9 20 Research Assistantship (9) 3250 9 20 Programming

DEPARTMENT OF QUANTITATIVE ANALYSIS AND CONTROL . Applications due: 3/1/76 Bachelor• s by inst. 2897 Charless Mott, Chairman Bachelor's by dept. 6 Master• s by dept. * Teaching Assistantship (5) 1500-3300 9 10-20 *New program started in Fall 1975. First graduates will be next year.

Case Western Reserve University, Cleveland 44106 DEPARTMENT OF MATHEMATICS AND STATISTICS Applications due: 3/1/76 Bachelor's by inst. 806 Shelemyahu Zacks, Chairman Bachelor's by dept. 25 Master's Teaching Assistantship (10) 2700-3600 9 3-4 Teaching by dept. 5 Research Assistantship (5) 3000-4000 9 Ph. D. (1973-1975 incl.) Scholarship (3) Tuition A&NT 1, G&T 3, A&FA 4, P&S 7, AM 2. Total: 17

DEPARTMENT OF IDOMETRY Applications due: 3/15/76 Bachelor's by inst. 806 Harold B. Houser, Acting Director Master• s by dept. 2 Fellowship (4) 2500-3000 9 Yes 12 Research Assistantship (4) 2700-4500 12 Yes Varies

DEPARTMENT OF OPERATIONS RESEARCH Applications due: * Bachelor• s by inst. 806 Burton V. Dean, Chairman Bachelor• s by dept. 15 Fellowship (2) 1500-3000 9 1500/sem. 12 Teaching orMaster' s by dept. 16 research Ph. D. (1973-1975 incl. ) Teaching Fellowship (6) 1500-3000 9 1500/sem. 12 Teaching other 20. Total: 20 Teaching Assistantship (4) 2362-4725 9 1500/sem. 20 Teaching Research Assistantship (10) 2362-4725 9 1500/sem. 20 Research Scholarship (5) 1500-3000 9 1500/yr. 12 Teaching or research Schultz (3) 1500-3000 9 1500/yr. 12 Teaching * 12/1/75; 3/1/76. or research Cleveland State University, Cleveland 44115 DEPARTMENT OF MATHEMATICS Applications due: 9/1/76 Bachelor• s by inst. 1535 Robert R. Stoll, Chairman Bachelor• s by dept. 50 Master• s by dept. Teaching Assistantship (6) 2000-2500 9 20 Teaching 9 and grading

Kent State University, Kent 44242 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76* Bachelor• s by inst. 1874 John Fridy, Acting Chairman Bachelor• s by dept. 40 Master• Fellowship (2) 2600 9 s by dept. 9 Teaching Fellowship (10) 4000-4300 9 5c Teaching Ph. D. (1973-1975 incl.) Teaching Assistantship (20) 2800-3500 9 5c Teaching A&NT 1, G&T 1, A&FA 2, CS 3. Total: 7 *Late applications will be considered.

KENT STATE UNIVERSITY The Department of Mathematics at Kent State University is now accepting applications for Teaching Assistant· ships and Teaching Fellowships for the 1976-77 academic year. Stipends range from $2,800 plus tuition waiver Ia $4,300 plus tuition waiver. The Department offers programs leading to the M.A. or M.S. degrees with areas of concentration in pure mathe· matics, applied mathematics, and mathematics for secondary teachers. The Doctor of Philosophy degree is offered in several areas which include numerical analysis, approximation theory, classical analysis, functional analysis, ring theory, general topology, geometric topology, complex analysis. Completed applications should be received by March 1, 1976. However, late applications will be considered. Please direct all inquiries to: Coordinator of Graduate Studies Department of Mathematics KENT STATE UNIVERSITY Kent, Ohio 44242

420 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED ofllnanclal auista- amount 9 or 12 If notlndudod hou,. typa Academic year (,.;lh numlooranticlpatetl1976·1977) in dolla,. months in otipantl (dollars) par wHk ofHNice 1974·1975

Miami University, Oxford 45056 DEPARTMENT OF MATHEMATICS AND STATISTICS Applications due: 3/15/76 Bachelor' s by inst. 2800 S. E. Bohn, Chairman Bachelor's by dept. 65 Master• s by dept. 16 Teaching Assistantship (27) 2400-3000 9 10-20 Teaching, assisting Ohio State University, Columbus 43210 DEPARTMENT OF MATHEMATICS Applications due: 2/16/76 Bachelor's by inst. 7389 Joseph Landin, Chairman Bachelor• s by dept. 104 Master• s by dept. 26 Fellowship (10) 3060-3400 10 20 Teaching Assistantship (120) 2835-3645 9 20 Teaching Ph. D. (1973-1975 incl.) Research Assistantship (1) 2835-3645 9 20 Research A&NT 2, G&T 4, A&FA 2, Total: 8

DEPARTMENT OF COMPUTER AND INFORMATION SCIENCE Applications due: * Bachelor's by inst. 7389 Marshall C. Yovits, Chairman Bachelor• s by dept. 109 Master• s by dept. 58 Fellowship (20) 2250-2650 12 Teaching Assistantship (45) 2925-3600 9 or 12 15-20 Teaching Ph. D. (1973-1975 incl.) Research Assistantship (18) 2700-4500 9 or 12 20 Research CS 19. Total: 19 Computer Center (2) 3300 up 12 20 Programming, research Ohio College Library Center (1) 3600-4200 12 20 Programming, research *Fellowships: 2/1/76; Assistantships: open.

DEPARTMENT OF STATISTICS Applications due: * Bachelor• s by inst. 7389 D. Ransom Whitney, Chairman Bachelor• s by dept. 4 Master• s by dept, 3 Fellowship (3) 2500-3000 9 Teaching Assistantship (24) 3100 9 20 Ph. D. (1973-1975 incl.) P&S 18, Total: 18 *Fellowships: 2/1/76; Assistantships: 2/15/76.

Ohio University, Athens 45701 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor• s by inst. 3000 R. G. Helsel, Chairman Bachelor• s by dept. 31 Master• s by dept. 5 Teaching Assistantship (22) 2800-4000 9 5c Teaching Ph. D. (1973-1975 incl.). A&NT 2, G&T 3, A&FA 1. Total: 6 University of Akron, Akron 44304 DEPARTMENT OF MATHEMATICS AND STATISTICS Applications due: 3/1/76 Bachelor• s by inst. 1947 William H. Beyer, Head Bachelor's by dept. 22 Master• s by dept. 8 Teaching Assistantship (18) 2600-3500 9 20 Teaching, assisting University of Cincinnati, Cincinnati 45221 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 2/15/76* Bachelor• s by inst. 2890 E. P. Merkes, Head Bachelor• s by dept. 25 Fellowship (5) 2900-3650 9 Master's by dept. 19 Teaching Assistantship (33) 2950-3150 9 10-15 Teaching, Ph. D. (1973-1975 incl.) assisting A&NT 3, A&FA 12. Total: 15 Scholarship (20) 12 *Late applications considered if funds are available.

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THE KENT STATE UNIVERSITY DEPARTMENT OF MATHEMATICS r solicits nominations and applications for the position of CHAIRMAN Applicants should have significant research stature and demonstrated administrative ability. Qualified candidates in all fields are encouraged to apply. The Department is especially interested I in attracting candidates in applied mathematics, numerical analysis, and computer science. Applicants should be available by September 15, 1976. Resumes and letters of recommendation must be received by January 31, 1976. Address all inquires to: Professor Richard K. Brown Secretary, Chairman Search Committee Department of Mathematics _j KENT STATE UNIVERSITY Kent, Ohio 44242 L An Equal Opportunity Employer cc:ccocccccccccacQC ccccocccccccc:cco:ccccccccoc:cc:cccccccccc:ccc 421 TYPE STIPEND TUITION SERVICE REQUIRED DeGREES AVVARDED Acaclemicyear of financial anistance amount 9 or 12 if not included hours type 1974·1975 (with number anticipated 1976·1977) in dollars months In stipend (dollars) per WHk of service University of Dayton, Dayton 45469 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor' s by inst. 1898 Harold G. Mushenheim, Chairman Bachelor• s by dept. 29 Master• s by dept. 2 Teaching Assistantship (5) 2800 9 * 6c Teaching *Remitted.

University of Toledo, Toledo 43606 DEPARTMENT OF MATHEMATICS Applications due: 3/15/76 Bachelor• s by inst. 1374 Simmie S. Blakney, Chairman Bachelor• s by dept. 4 Master• s by dept. 9 Teaching Assistantship (16) 3000-4000 9 4-6 Teaching Ph. D. (1973-1975 incl.) G&T""2. Total: 2

Wright State University, Dayton 45431 DEPARTMENT OF MATHEMATICS Applications due: 7/1/76 Bachelor's by inst. 1176 Krishan K. Gorowara, Chairman Bachelor• s by dept. 15 Master• s by dept. 4 Teaching Assistantship (15) 3000 9 5/cr. hr. 6 or Teaching 16 Lab and supplemental instruction Youngstown State University, Youngstown 44555 DEPARTMENT OF MATHEMATICS Applications due: 6/1/76 Bachelor• s by inst. 3000 Luke N. Zaccaro, Chairman Bachelor• s by dept. 40 Master• s by dept. 5 Teaching Assistantship (5) 3200 9 15 OKLAHOMA

Oklahoma State University, Stillwater 7 407 4 DEPARTMENT OF MATHEMATICS Applications due: 3/15/76* Bachelor's by inst. 2875 John Jewett, Head Bachelor's by dept. 50 14/sem. hr. _6c Master's by dept. 12 Teaching Assistantship (60) 3240-3429** 9 5 Ph. D. (1973-1975 incl.) A&NT 1, G&T 3, A&FA 4. Total: 8

*Late applications will be considered if vacancies exist. **Stipends may be higher for 1976-1977.

DEPARTM.I;;NT OF COMPUTING AND INFORMATION SCIENCES Applications due: 3/1/76 Bachelor's by inst. 2875 Donald D. Fisher, Acting Chairman Master's by dept. 4 Teaching Fellowship (4) 360-380 9 20

University of Oklahoma, Norman 73069 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor• s by inst. 2432 Gene Levy, Chairman Bachelor's by dept. 39 Master• s by dept. 19 Teaching Assistantship (50) 3100-3900 9 14/cr. hr. Teaching Ph. D. (1973-1975 incl.) A&NT 2, G&T 3, L 1, A&FA 5, Other 8. Total: 19 University of Tulsa, Tulsa 74104 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 3/1/76 Bachelor' s by inst. 875 Thomas W. Cairns, Chairman Bachelor• s by dept. 23 Master• s by dept. 6 Teaching Fellowship (5) 2750 9 6 sem.hr.

OREGON

Oregon State University, Corvallis 97331 2659 DEPARTMENT OF MATHEMATICS Applications due: Open Bachelor• s by inst. 30 James R. Brown, Chairman Bachelor• s by dept. Master• s by dept. 5 Teaching Assistantship (30) 3200-3700 9 156 4 Teaching Ph. D. (1973-1975 incl.) A&NT 4, G&T 3, A&FA 5, CS 4, AM 3. Total: 19

422 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED ., financial--.. amount 9or 12 if not inci&Hied houos typo Academic year ( wilh • ..-anllclpa.... 1976-1977) in dollars months in stipend ( clollan) perw... of service 1974-1975

DEPARTMENT OF STATISTICS Applications due: 2/15/76 Bachelor• s by inst. 2659 Lyle D. Calvin, Chairman Master• s by dept. 17

Teaching Assistantship (4) 3~00-3-100 9 52/term 12-15 Ph. D. (1973-1975 incl.) Research Assisttmtship (10) 3800-1000 9 52/term 12-15 P&S 17. Total: 17 Biometry TrainePships (8) 3900 12 4

Portland State University, Portland 97207 DEPARTMENT OF MATHEMATICS .. Applications due: 4/15/76 Bachelor• s by in st. 1254 J. Richard Byrne, Head Bachelor• s by dept. 41 Master• s by dept. 17 Teaching Assistantship (12) 2952-3060 9 180; approx. 14 Teaching & preparing University of Oregon, Eugene 97403 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor• s by inst. 2291 Fred C. Andrews, Head Bachelor• s by dept. 50 Master• s by dept. 15 Teaching Assistantship (34) 3000-1500 9 55/term Teaching Ph.D. (1973-1975 incl.) A&NT 8, L 1, A&FA 7, P&S 3, CS 1. Total: 20

DEPARTMENT OF COMPUTER SCIENCJ;; Applications due: 2/15/76 Bachelor• s by inst. 2291 Fred C. Andrews, Acting Head Bachelor• s by dept. 42 Master• s by dept. Teaching Assistantship (4) 2700-4160 9 12 11

PENNSYLVANIA Bryn Mawr College, Bryn Mawr 19010 DEPARTMENT OF MATHEMATICS Applications due: 2/1/76 Bachelor• s by inst. 198 John C. 0"-"tohy, Chairman Bachelor• s by dept. 2 Fellowship (1) 2000 9 Teaching Assistantship (2) 1950-2050 9 1/3 time Scholarship (1) 1550 9 Bucknell University, Lewisburg 17837 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor• s by inst. 637 David S. Ray, Chairman Bachelor• s by dept. 41 Fellowship (2) 8 00 9 Master• s by dept. 3 Teaching Assistantship (5) 2500 9 10 Teaching Scholarship (3)

Carnegie-~fellon University, Pittsburgh 15213 DEPARTMENT OF lllATHElllATICS Applications due: 3/15/76 Bachelor• s by inst. 633 George J. Fix, Head Bachelor• s by dept. 58 Teaching Fellowship (8) 2700 3-4 hrs. Master• s by dept. 8 Teaching Assistantship (8) 2700-3000 3-4 hrs. Ph. D. (1973-1975 incl.) Research Assistantship (5) 5600-6000 3,100 G&T 5, L 1, A&FA 11, CS 1, AM 5. Total: 23

DEPART:\!ENT OF COli-!PLTER SCIENCE Applications due: 2/1/76 Bachelor• s by inst. 633 J. F. Traub, Head Ph. D. (1973-1975 incl.) Research Assistantship (60) 6385* 9 3100 Research CS 30. Total: 30 *Plus dependency allowance. Additional support often available in summer. This is fall 1975 stipend. The fall 1976 stipend has not yet been decided.

DEPARTli!ENT OF STATISTICS Applications due: 3/15/76 Bachelor's by inst. 633 Joseph B. Kadane, Head Master• s by dept. 7 Teaching Assistantship (5) 5375-5825 9 12 Ph. D. (1973-1975 incl.) Research Assistantship (7) 5375-5825 12 12 P&S 4. Total: 4 Clarion State College, Clarion 16214 DEPART~!E~"T OF ~!ATHE:IIATICS Applications due: 8/1/76 Bachelor• s by inst. 895 S. I. Gendler, Chairman Bachelor• s by dept. 34 Teaching Assistantship (4) 1350-2700 9 10 Teaching, Master's by dept. 24 grading, etc.

423 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED

of Anancial assistance amount 9 or 12 if not included hours type Academic year (with number anticipated 1976-1977) in dollars months in stipend (dollars) per week of service 1974-1975

Drexel University, Philadelphia 19104 DEPARTMENT OF MATHEMATICS Applications due: 4/15/76 Bachelor• s by inst. 943 Loren N. Argabright, Head Bachelor• s by dept. 46 Master's by dept. 6 Teaching Assistantship (20) 2880-3600 6c Teaching Research Assistantship (3) 2475-3600 9 or 12 20 Research Ph. D. (1973-1975 incl.) P&S 1, CS 1, AM 1. Total: 3

Duquesne University, Pittsburgh 15219 DEPARTMENT OF MATHEMATICS Applications due: 3/15/76 Bachelor• s by inst. 811 Robert G. McDermot, Chairman Bachelor• s by dept. 8 Master• s by dept. 1 Teaching Assistantship (4) 2000 9 6 or 7

Indiana University of Pennsylvania, Indiana 1570 1 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor• s by inst. 2591 Melvin R. Woodard, Chairman Bachelor• s by dept. 110 Master• s by dept. 21 Teaching Assistantship (5) 1300-2705 9 20 Lehigh University, Bethlehem 18015 DEPARTMENT OF MATHEMATICS Applications due: 2/15/76* Bachelor• s by inst. 853 Everett Pitcher, Chairman Bachelor• s by dept. 26 Master's by dept. 9 Fellowship (2) 2400 Teaching Assistantship (26) 3100*** 9 Ph. D. (1973-1975 incl.) A&NT 4, G&T 3, L 1, A&FA 4, P&S 1, CS 1. Total: 14 *Late applications will be considered. **Additional pay for teaching. ***Probable. Pennsylvania State University, University Park 16802 DEPARTMENT OF MATHEMATICS Applications due: 2/15/76 Bachelor• s by inst. 9944 Donald C. Rung, Chairman Bachelor• s by dept. 105 Master• s by dept. 15 Fellowship (5) 3906 9 4.5 Research Teaching Assistantship (25) 3672-3906 9 4. 5 Teaching Ph. D. (1973-1975 incl.) A&NT 14, G&T 1, L 3, A&FA 4, CS 1, AM 4. Total: 27

DEPARTMENT OF COMPUTER SCIENCE Applications due: 2/15/76 Bachelor• s by inst. 9944 Patrick C. Fischer, Head Bachelor• s by dept. 96 Master• s by dept. 17 Fellowship (4) 2500 up* 12 Research Teaching Assistantship (30) 3672-4140** 9 20 Teaching Ph. D. (1973-1975 incl.) Research Assistantship (6) 3672-4140 9 20 Research CS 20. Total: 20 *Supplemented by part-time teaching. **Some Summer support is available for persons on 9 month assistantships.

DREXEL UNIVERSITY The Drexel Mathematics Department offers graduate programs leading to the M.S. and Ph. D. degrees. The Ph.D. program is primarily concentrated in the areas of analysis and applied mathe­ matics. Financial aid is available through teaching and research assistantships, fellowships, and traineeships which carry stipends from $2,880 to $4,000 and a waiver of tuition and fees. Interested applicants should request further information from:

Dr. Loren !\. Ar~abri~ht, Head Hepartrnent of Mathematics HHEXEL PH\ EHSITY Philadelphia, l't•nnsylvania 19101

424 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AVVARDED of financial aulstance amount 9 or 12 if not inclucl.cl hours lypa Academic year (with nu.,._ anticipated 1976-1977) indallan months In &lipand (dollar&) par wook of~ervice 1974-1975

DEPARTMENT OF STATISTICS Applications due: 3/1/76 Bachelor• s by inst. 9944 William L. Harkness, Head Master• s by dept. 13 Fellowship (1) 2565-3385 9 Ph. D. (1973-1975 incl.) Teaching Fellowship (2) 3456-3906 9 P&S 7. Total: 7 Teaching Assistantship (4) 3636-3906 9 Teaching Research Assistantship (1) 3636-3906 9

Shippensburg State College, Shippensburg 17257 DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE Applications due: 3/15/76 Bachelor• s by inst. 935 James L. Sieber, Chairman Bachelor• s by dept. 44 Master• s by dept. 11 Teaching Assistantship (3) 2705-2840 9 20

Temple University, Philadelphia 19122 DEPARTMENT OF MATHEMATICS Applications due: 3/15/76 Bachelor• s by inst. 3386 Albert Schild, Chairman Bachelor• s by dept. 30 Master• s by dept. 11 Fellowship (3) 2700-3100 12 Teaching Assistantship (18) 3000-3400 9 4-8 Teaching A&NT 2, G&T 1, A&FA 3, Research Assistantship (6) 3000-3400 9 P&S 3. Total: 9 Scholarship (2) 9

Temple University Medical School, Philadelphia 19140 DEPARTMENT OF BIOMETRICS Ran S. Sharma, Acting Chairman Generally, for most of our students, tuitions are available, For outstanding students our department offers stipends. For further information contact Dr. Sharma. University of Pennsylvania, Philadelphia 19174 DEPARTMENT OF MATHEMATICS Applications due: 2/1/76 Bachelor• s by inst. 2185 Dock Sang Rim, Chairman Bachelor• s by dept. 35 Master• s by dept. 10 Fellowship (2-4) 3000 9 Teaching Assistantship (26) 3200-3450 9 6 -7c Teaching Ph. D. (1973-1975 incl.) A&NT 1, G&T 4, J. &FA 5, Other 4. Total: 14 DEPARTMENT OF STATISTICS Applications due: 2/1/76 Bachelor• s by inst. 21~5 JohnS. deCani, Chairman Master• s by dept. 1 Teaching Fellowship (5-6) 3150-3300 9 10 Ph. D. (1973-1975 incl.) Research Assistantship (1) 4200 9 10-12 P&S 3. Total: 3 6675 12 University of Pittsburgh, Pittsburgh 15260 DEPARTMENT OF MATHEMATICS Applications due: 3/15/76 Bachelor• s by inst. 3230 Wilbur E. Deskins, Chairman Bachelor• s by dept. 82 Master• s by dept. 6 Fellowship (3) 3500* 8 Teaching Fellowship (16) 3350-5025** 12 Ph. D. (1973-1975 incl.) Teaching Assistantship (28) 3140-4710** 12 A&NT 1, G&T 6, L 2, A&FA 6, P&S 1, CS 3, AM 1, Other 1. Total: 21 *Two term Mellon Fellowship, **First figure two term; second figure three term.

UNIVERSITY OF PENNSYLVANIA GRADUATE PROGRAM IN STATISTICS TEACIII:\G FELLOWSIIIPS: ...... 9 months. $3.150 $3.:iOO plus tuition C\1\"ERSITY FELLO\\ SIIIPS: ...... minimum. $2.-100 plus tuition and fpps APPLICATIO:\S: ...... For admission forms and furth!'r information. please wril!• to: The Chairman, Department of Statisti<•s E-220 Dietrich Hall l':\1\'ERSITY OF PI<::\:\SYLYA:\1.-\ l'hiladelphia, Pf'nnsylvania 1917-l

425 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 If not induded houn type Academic year (with number anticipated 1976·1977) in dollars months in stipend (dollars) per w~k of service 1974-1975

DEPARTMENT OF COMPUTER SCIENCE Applications due: 3/15/76 Bachelor• s by inst. 3230 Orrin E. Taulbee, Chairman Bachelor• s by dept. 25 Master• s by dept. 15 Teaching Fellowship (8) 3350-5075 8-12 15-18 Teaching Teaching Assistantship. (8) 3140-4720 8-12 15-18 Teaching Ph. D. (1973-1975 incl.) Research Assistantship (8) 3000-4800 8-12 15-18 Research Other 1. Total: 1 Scholarship (2) Tuition Industry Cooperative (4) 3000-5000 12 850 20 Industry

Villanova University, Villanova 19312 DEPARTMENT OF MATHEMATICS Applications due: 3/15/76 Bachelor• s by inst. 1455 James 0. Brooks, Chairman Bachelor• s by dept. 15 Master• s by dept. 26 Teaching Assistantship (7) 2400 9 6c Teaching West Chester State CoUege, West Chester 19380 DEPARTMENT OF MATHEMATICS Applications due: 3/15/76 Bachelor• s by inst. 938 Richard Branton, Chairman Bachelor• s by dept. 19 Master• s by dept. 8 Teaching Assistantship (3) 2705-2980 9 ;:;; 20 Teaching and/or assisting Wilkes CoUege, Wilkes-Barre 18703 DEPARTMENT OF MATHEMATICS Applications due: 5/1/76 Bachelor• s by inst. 478 Bing K. Wong, Chairman Bachelor's by dept. 23 Master• s by dept. 4 Teaching Assistantship (2) 2500 9 15 max. Teaching, grading Scholarship * 9 ** *Several available, not limited to mathematics. **Up to full tuition.

PUERTO RICO

University of Puerto Rico, Rio Piedras 00923 DEPARTMl>NT OF MATHEMATICS Applications due: 4/15/76 Master• s by dept. 3 H. J. stolberg, Chairman Teaching Fellowship (3) 2500 10 Teaching Teaching Assistantship (12) 2500 10 Teaching

RHODE ISLAND Brown University, Providence 02912 DEPARTMENT OF MATHEMATICS Bachelor• s by inst. 1244 Jonathan Lubin, Chairman Bachelor• s by dept. 42 Master• s by dept. 3 Fellowship (8) 2200-3000 9 Teaching Assistantship (23) 2500-3100 9 Ph. D. (1973-1975 incl.) Research Assistantship (1) 2000-3000 9 A&NT 2, G&T 6, A&FA 4. Total: 12

DIVISION OF APPLIED MATHEMATICS Applications due: 1/10/76 Bachelor• s by inst. 1244 Jack K. Hale, Chairman Bachelor• s by dept. 79 Master• s by dept. 10 Fellowship (4) 2750-2800 9 Teaching Assistantship (10) 2750-3000 9 20 Teaching Ph. D. (1973-1975 incl.) and P&S 1, CS 2, AM 4. research Total: 7 Research Assistantship (10) 5695-5925 9 2925 20 Teaching and research Proctorships and Package Deals (11) 2500-5695 9 up to 2925 20 Teaching and research

University of Rhode Island, Kingston 02881 DEPARTMENT OF MATHEMATICS Applications due: * Bachelor• s by inst. 2314 Gerasimos Ladas, Chairman Bachelor• s by dept. 28 Master• s by dept. 6 URI Fellowship (1) 3000 9 Teaching Assistantship (12) 3100-3500 9 3-6c / Teaching Ph. D. (1973-1975 incl.) sem. A&FA 5, AM 1. Total: 6 *4/15/76 for Summer and Fall; 11/15/76 for February.

426 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of Rnancial aulstance amount 9 or 12 if not Ind.,... houn type Academic par (with number •nliclpated 1976·1977) In doll•rs months in sHpand ( doll•n) par wook of service 1974-1975

DEPARTMENT OF COMPUTER SCIENCE AND EXPERIMENTAL STATISTICS Applications due: 4/15/76 Bachelors by inst. 2314 William J. Hemmerle, Chairman Master• s by dept. 4 Teaching Assistantship (10) 3100-3200 9 up to 20 Teaching, computer center work Research Assistantship (4) 3800-3900 9 * up to 760 up to 20 Research *Additional full-time summer compensation beginning at $1800.

SOUTH CAROIJNA Clemson University, Clemson 29631 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 3/1/76 Bachelor• s by inst. 1515 John Kenelly, Head Bachelor• s by dept. 27 Master's by dept. 19 Teaching Assistantship (65) 4030-4290 12 90/sem. Teaching Programming Assistantship (12) 4550-5200 12 90/sem. Computer Ph. D. (1973-1976 incl.) program­ A&NT 4, G&T 4, A&FA 3, ming P&S 6, CS 1. Total: 18 Medical University of South Carolina, Charleston 29401 DEPARTMENT OF BIOMETRY Applications due: 3/76 Master• s by dept. 6 M. Clinton Miller, m, Chairman Fellowship (2) 3000-4500 12 University of South Carolina, Colunlbia 29208 DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE Applications due: 3/1/76 Bachelor's by inst. 5000 William J. Eccles, Head Bachelor• s by dept. 75 Master• s by dept. 44 Teaching Assistantship (15) 2925-4525 9 75/sem. Teaching Ph. D. (1973-1975 incl.) A&NT 6, G&T 1, L 2, Other 2. Total: 11

The Mathematics and Computer Science Department of THE UNIVERSITY OF SOUTH CAROLINA is Now Accepting Applications for Teaching Assistantships for the 1976-1977 Academic Year Stipends Range from $2925 to $4525 for Six Hours Classroom Teaching or Equivalent The programs offered lead to the Master of Arts in Teaching Mathematics, Master of Mathematics, Master of Arts, Master of Science and Doctor of Philosophy degrees. The student's program of study is arranged after individual consultation: the master's program, in particular, is adaptable to a variety of objectives. Doctoral research direction is available in algebra, analysis, applied mathematics, probability and statistics, topology, number theory, graph theory, combinatorics, logic and foundations. Careful attention will be given to initial advisement and to starting each student in a program commensurate with his training and competence. Summer teaching is usually available. Completed applications should be received by the Director by March 1. All inquiries are welcome and should be sent to: Director of Graduate Studies Department of Mathematics and Computer Science UNIVERSITY OF SOUTH CAROLINA Columbia, South Carolina 29208

427 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARD.ED of flnancial assistance amount 9 or 12 if not included houn type Academic year (with number anticipated 1976·1977) in dollars months in stipend (dollars) per week of service 1974-1975

SOUTH DAKOTA South Dakota School of Mines & Technology, Rapid City 57701 DEPARTMENT OF MATHEMATICS Applications due: 4/1/76 Bachelor• s by inst. 147 Dean C. Benson, Chairman Bachelor• s by dept. 16 Master• s by dept. 3 Teaching Fellowship (6) 2600-2700 9 8. 33/sem. hr. 4-5 Teaching

South Dakota State University, Brookings 57006 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor• s by inst. 1242 J. Ernest Richards, Head Bachelor's by dept. 29 Teaching Assistantship (2) 2600-3000 9 12.83/cr. 6c

University of South Dakota, Vermillion 57069 DEPARTMENT OF MATHEMATICS Applications due: 3/15/76 Bachelor• s by inst. 911 Wayne W. Gutzman, Chairman Bachelor's by dept. 40 Master• s by dept. 5 Teaching Assistantship (6) 2200 9 * 4 Teaching *1/3 in-state. TENNESSEE East Tennessee State University, Johnson City 37601 DEPARTMENT OF MATHEMATICS Applications due: 4/30/76 Bachelor• s by inst. 1369 Lester C. Hartsell, Chairman Bachelor• s by dept. 14 Master• s by dept. 3 Teaching Assistantship (3) 2100 9 39/qtr. hr. 6

Memphis State University, Memphis 38152 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 3/30/76 Bachelor• s by inst. 2877 Stanley Franklin, Chairman Bachelor• s by dept. 18 Master's by dept. 17 Fellowship (38) 2600-3600 9 6c Teaching Middle Tennessee State University, Murfreesboro 37130 DEPARTMENT OF MATHEMATICS Applications due: 4/1/76 Bachelor• s by inst. 1531 Harold S. Spraker, Chairman Bachelor's by dept. 31 Master• s by dept. 5 Teaching Assistantship (4) 2290 20 Teaching

Tennessee Technological University, Cookeville 38501 DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE Applications due: 3/1/76 Bachelor• s by inst. 650 Ralph C. Boles, Chairman Bachelor• s by dept. 15 Master's by dept. 6 Teaching Assistantship (8) 2250-2475 9 6 Teaching

University of Tennessee, Knoxville 37916 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor• s by inst. 3949 Lid a K. Barrett, Head Bachelor's by dept. 63 Master• s by dept. 21 Fellowship (2) 2600-3300 9 Teaching Assistantship (54) 3209-4280 9 Ph. D. (1973-1975 incl.) A&NT 3, G&T 3, A&FA 9, CS 4. Total: 19

DEPARTMENT OF COMPUTER SCIENCE Applications due: 2/18/76 Bachelor• s by inst. 3606 Robert Todd Gregory, Head Bachelor• s by dept. 3 Master• s by dept. 18 Fellowship (2) * 2200-2400 9 Teaching Assistantship (12) 3200-3600 9 20 Teaching *Graduate Fellowships are awarded by the Graduate School not by the department. DEPARTMhNT OF MANAGEMENT SCIENCh Applications due: 3/15/76 Master• s by dept. 3 Colin E. Bell, Chairman Ph. D. (1973-1975 incl.) Teaching Fellowship (3) 2000-4500 9 10 Teaching AM 3. Total: 3 Teaching Assistantship (3) 1800-4000 9 10-20 Teaching Research Assistantship (1) 2000-4000 9 10-20 Research

Vanderbilt University, Nashville 37235 DEPARTMENT OF MATHEMATICS Applications due: 2/1/76 Bachelor• s by inst. 1044 B. F. Bryant, Chairman Bachelor• s by dept. 63 Master• s by dept. 6 Teaching Assistantship (8) 3000 9 Ph. D. (1973-1975 incl.) A&NT 2, A&FA 3, Other 3. Total: 8

428 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not included hours type Academic year (with number anticipatecl1976·1977) in dollars months in stipend {dollars) per week of service 1974-1975

DEPARTMENT OF SYSTEMS AND INFORMATION SCIENCE Applications due.: 1/15/76 Bachelor• s by inst. 1044 Patrick D. Krolak, Head Bachelor• s by dept. 25 Master's by dept. 4 Teaching Assistantship (7) 2500-2800 9 20 Teaching Research Assistantship (7) 2500-2800 20 Research Ph. D. (1973-1975 incl.) Scholarship (15) CS 3. Total: 3

TEXAS Baylor University, Waco 76703 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor• s by inst. 857 Howard L. Rolf, Chairman Bachelor• s by dept. 36 Master• s by dept. 3 Teaching Assistantship (4) 1800-2500 9 3-6 Teaching Research Assistantship (4) 1500 9 10-12 East Texas State University, Commerce 75428 DEPARTMENT OF MATHEMATICS Applications due: 4/1/76 Bachelor's by inst. 1450 Dale R. Bedgood, Head Bachelor's by dept. 60 Master• s by dept. 18 Teaching Assistantship (12) 3366-3996 9 121 6 sem.hrs. Teaching

DEPARTMENT OF COMPUTER SCIENCE Applications due: 6/1/76 Bachelor's by inst. 1450 Alton R. Goddard, Head Bachelor• s by d"pt. 50 Teaching Assistantship (10) 3366 9 * Master's by dppt. 20 *$144 per 12 semester hours. Lamar University, Beaumont 77710 )EPARTMENT OF MATHEMATICS Applications due: 2/15/76 Bachelor• s by inst. 1200 ,_ W. Latimer, Acting Head Bachelor's by dept. 28 Master's by dept. 8 reaching Assistantship (4) 3600 9 100 6c Teaching

Midwestern University, Wichita Falls 76308 )EPARTMENT OF MATHEMATICAL SCIENCES Applications due: 4/15/76 Bachelor• s by inst. 426 couie C. Huffman, Chairman Bachelor• s by dept. 7 Master's by dept. 2 reaching Assistantship (6) 3050 9 6c Teaching North Texas State University, Denton 76203 )EPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor's by inst. 2320 fohn T. Mohat, Acting Chairman Bachelor• s by dept. 28 Master's by dept. 6 reaching Assistantship (22) 3600-4000 140/sem. 6c Ph. D. (1973-1975 incl.) A&FA 2. Total: 2 Pan American University, Edinburg 78539 DEPARTMENT OF MATHEMATICS Applications due: 5/76 Bachelor• s by inst. 834 John Spellmann, Acting Head Bachelor• s by dept. 26 Master's by dept. 1 Teaching Assistantship (2) 3600 9 100 6c Teaching

DEPARTMENT OF MATHEMATICS Applications due: 3/15/76 Bachelor's by inst. 410 Salomon Bochner, Chairman Bachelor's by dept. 13 Master's by dept. 3 Fellowship (22) 2750-3750 9 6 Teaching, research Ph. D. (1973-1975 incl.) Scholarship (5) A&NT 2, G&T 4, A&FA 6. Total: 12 Sam Houston State University, Huntsville 77340 DEPARTMENT OF MATHEMATICS Bachelor's by inst. 1713 3len E. Mattingly, Director Bachelor• s by dept. 32 Master's by dept. 6 reaching Assistantship (8) 3433.50 9 140/sem. 15 or 6 Teaching sem. hr.

Southern Methodist University, Dallas 75275 DEPARTMENT OF MATHEMATICS Applications due: 3/30/76 Bachelor's by inst. 1358 David W. Starr, Chairman Bachelor• s by dept. 30 Master's by dept. 3 Teaching Assistantship (6) 2200-3300 9 6c Teaching DEPARTMENT OF COMPUTER SCIENCE Applications due: 3/31/76 Bachelor• s by inst. 72 David W. Matula, Head Bachelor• s by dept. 11 Master's by dept. 14 reaching Assistantship (8) 2700-3150 9 20 Teaching Research Assistantship (6) 2700-3150 9 20 Research Ph. D. (1973-1975 incl.) CS 18, Other 7. Total: 25 429 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of flnanclal auistance amount 9or12 ifnotlnd...., hours Aoaolemic- (with nu,...r anticlpetecll 976·1977) in dollan months in otlpenol ( .....,.., per week 1974-1975

DEPARTMENT OF STATISTICS Applications due: 4/1/76 Bachelor• s by inst. 135S D. B. Owen, Chairman Bachelor• s by dept. 1 Master• 8 by dept. 8 Teaching Assistantship (26) 2700 9 1845/yr. 20 General Scholarship (4) 1845/yr. Ph. D. (1973-1975 incl.) P&S 16. Total: 16 Stephen F. Austin State University, Nacogdoches 75961 DEPARTMENT OF MATHEMATICS Applications due: * Bachelor• s by inst. 1367 W. I. Layton, Head Bachelor's by dept. 3~ Master• s by dept. S Teaching Assistantship (17) 1500-3000 9 ** 16 or 6c *As early as possible. **$130 per semester for 12 hour load. Texas A & I University, Kingsvnle 78363 DEPARTMENT OF MATHEMATICS Applications due: 4/15/76 Bachelor• s by inst. 114f Virgil c. Kowalik, Chairman Bachelor• 8 by dept. 1e Master's by dept. e Teaching Assistantship (8) 3510 9 * 20 Teaching *Residents $122.50 for 9 hours per semester. Texas A & M University, College Station 77843 DEPARTMENT OF MATHEMATICS Applications due: 4/1/76* Bachelor's by inst. 242f G. R. Blakley, Head Bachelor's by dept. 24 Master's by dept. 14 Teaching Assistantship (80) 3150-3645 9 50 20 Ph. D. (1973-1975 incl.) A&NT 1. Total: 1 *Some late applications will be considered. INSTITUTE OF STATISTICS Applications due: * Master• s by dept. 7 H. 0. Hartley, Director Ph. D. (1973-1975 incl.) Fellowship (1) 3600 9 500/yr. P&S 17. Total: 17 Teaching Assistantship (20) 3600-4275 9 500/yr. 20 Research Assistantship (15) 3600-4275 9 500/yr. 20 *Applications accepted year round.

Texas Christian University, Fort Worth 76129 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor's by inst. 987 L.A. Colquitt, Chairman Bachelor's by dept. 26 Master• s by dept. 9 Teaching Fellowship (8) 2500-3400 12 3c Teaching Teaching Assistantship (5) 1800-2400 9 6c Teaching Ph. D. (1973-1975 incl.) Scholarship (2) 8 Research A&NT 6, G&T 1, A&FA 4. Computer Trainee (3) 2800-3200 9 20 Program- Total: 11 ming University of Houston, Houston 77004 DEPARTMENT OF MATHEMATICS Applications due: * Bachelor's by inst. 3479 J. N. Younglove, Chairman Bachelor• s by dept. 78 Master• s by dept. 6 Fellowship (5) 2250-3600 9 and 12 Teaching Fellowship (35) 3~00-4000 9 Teaching 2 Ph. D. (1973-1975 incl.) courses A&NT 3, G&T 11, A&FA 6 each sem. P&S 1, AM 2. Total: 23 *Spring 1976: 12/3/75; Fall 1976: 7/10/76.

University of Texas at Arlington 76019 DEPARTMENT OF MATHEMATICS Bachelor's by inst. 200E V. Lakshmikantham, Chairman Bachelor• s by dept. BE Master's by dept. 11 Teaching Assistantship (22) 3060-4356 9 125 6c Teaching Research Assistantship (3) 3708-4356 9 125 20 Research University of Texas at Austin 7ff112 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor's by inst. 7021 R. H. Bing, Chairman Bachelor• s by dept. 9: Master's by dept. 1' Teaching Fellowship (4) 5000 2-3c Recitation section, & Ph. D. (1973-1975 incl.) related A&NT 3, G&T 3, L 1, duties A&FA 10, P&S 1, AM 2. Teaching Assistantship (87) 3500-4500 4-6c Recitation Total: 20 section & related duties

430 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of flnandal-lttance amount 9 or12 if not inclutlocl hours type Academic year (with num1Mrantlcipated1976-1977) indallan months In stipend (dollars) perwHk of service 1974-1975

UDiversity ofTexas at Dallas, Richardson 75080 PROGRAMS IN MATHEMATICAL SCIENCES Applications due: 5/1/76 Master• s by dept. 18 John W. Van Ness, Head Fellowship (2) 3231 9 50/sem. 20 Teaching Assistantship (16) 36\)0-3900 9 50/sem. 20 Teaching Research Assistantship (2) 3231 9 50/sem. 20 Research University of Texas at El Paso 79968 DEPARTMENT OF MATHEMATICS Applications due: 4/1/76 Bachelor• s by inst. 1274 John A. Narvarte, Chairman Bachelors by dept. 22 Master• s by dept. 6 Teaching Assistantship (9) 2800-3000 9 262/yr. 20 Teaching West Texas State University, Canyoo 790 loS DEPARTMENT OF MATHEMATICS Applications due: 4/1/76 Bachelor• s by inst. 1500 Hollis L. Cook, Head Bachelor's by dept. 30 Master• s by dept. 6 Teaching Assistantship (6) 3300 9 yes 12 Teaching UTAH

Brigham Young University, Provo 84602 DEPARTMENT OF MATHEMATICS Bachelor• s by inst. 4077 Kenneth L. Hillam, Chairman Bachelor• s by dept. 43 Master• s by dept. 7 Teaching Assistantship (26) 575-890 9 510 10 Research Assistantship (3) 850 9 540 10 Scholarship (9) 600-1000 9 510

DEPARTMENT OF STATISTICS Applications due: 4/1/76 Bachelor• s by inst. 4077 H. Gill Hilton, Chairman Bachelor• s by dept. 8 Master• s by dept. 8 Teaching Assistantship (8) 1350-1650 9 540/sem. 20 Teaching Research Assistantship (2) 1350-1650 12 540/sem. 20 Research Scholarship (3) 300-500 9

University of Utah, Salt Lake City 84112 DEPARTMENT OF MATHEMATICS Applications due: 2/15/76 Bachelor• s by inst. 2491 c. E. Burgess, Chairman Bachelor• s by dept. 48 Master• s by dept. 6 Teaching Fellowship (40) 4250-4650 9 10 Teaching Research Assistantship (3) 2100-2500 9 Studying, Ph. D. (1973-1975 incl.) research A&NT 2, G&T 3, A&FA 2, P&S 1, CS 4, other 3. Total: 15

Utah State University, Logan 84322 DEPARTMENT OF MATHEMATICS Applications due: 3/15/76 Bachelor• s by inst. 1405 Lawrence 0. Cannon, Chairman Bachelor• s by dept. 14 5 Teaching Assistantship (15-20) 1650-4400 9 3_10c Teaching Master's by dept.

VERMONT University of Vermont, Burlington 05401 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor• s by inst. 1276 N. James Schoonmaker, Chairman Bachelor• s by dept. 38 Master• s by dept. 14 Fellowship (5) 1000 9 Teaching Fellowship (11) 2900 9 6c Teaching Ph. D. (1973-1975 incl.) A&FA 1, AM 1. Total: 2

illOST ATISTICS PROGRAM Applications due: 3/1/76 Bachelor• s by inst. 1276 David Sylwester, Director Master• s by dept. 11 Teaching Fellowship (2) 1450-2900 9 10-20 Teaching Research Assistantship (2) 3600 9 720 20 Research Statistics Assistantship (2) 1500-4500 9-12 720 or more 10-20 Research DEPARTMENT OF COMPUTER SCIENCE Applications due: 3/1/76 Bachelor• s by inst. 1276 David B. Hill, Chairman Master• s by dept. 2 Teaching Fellowship (4) 2700-3100 9 10-15 Teaching

STATISTICS PROGRA:\1 Applications due: 3/1/76 Bachelor• s by inst. 1276 David L. Sylwester, Director Bachelor• s by dept. 3 1 Teaching Fellowship (2) 2900 9 20 Lab assist-Master's by dept. ing, teach- ing 431 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED

of flnancial assistance amount 9 or 12 if not included hours type Academic year (with number anticipated 1976·1977) in dollars months in stipend (dollars} per week of service 1974-1975

VIRGINIA College of William and Mary, Williamsburg 23185 DEPARTMENT OF MATHEMATICS Applications due: 2/1/76 Bachelor• s by inst, 805 Peter V. O•Neil, Chairman Bachelor• s by dept. 35 Master• s by dept, 5 Fellowship (2) 500-2000 9 38/hr. Teaching Assistantship (5) 2700 9 5-8 Teaching George Mason University, Fairfax 22030 DEPARTMENT OF MATHEMATICS Applications due: 6/1/76 Bachelor• s by inst. 778 John A. Oppelt, Chairman Bachelor• s by dept. 13 Master• s by dept. 4 Teaching Assistantship (2) 3300-3750 9 20 Teaching *Per credit hour: In-state -$27; out-of-state -$57. Radford College, Radford 24141 DEPARTMENT OF MATHEMATICS AND STATISTICS Applications due: 4/1/76 Bachelor• s by inst, 700 Joseph C. Nichols, Chairman Bachelor's by dept, 24 Master• s by dept. 4 Fellowship (1) 1200 9 500 10 Teaching Assistantship (1) 1000 9 500 10 Teaching Dorm Counselor (1) 2100 9 University of Virginia, Charlottesville 22901 DEPARTMhNT OF MATHEMATICS Applications due: 2/1/76 Bachelor• s by inst. 1853 James Rovnyak, Chairman Bachelor• s by dept. 25 Master• s by dept, 4 Fellowship (6) 3000-4000 9 800 Teaching Assistantship (22) 3800-4600 9 800 Ph. D. (1973-1975 incl.) Supplementary Aid (9) 600-1800 Grading, A&NT 5, G&T 12, A&FA 4. leading Total: 21 problem sessions DEPARTMENT OF APPLIED MATHEMATICS AND COMPUTER SCIENCE Applications due: 2/1/76 Bachelor• s by inst. 1863 Gordon E. Latta, Chairman Bachelor• s by dept. 20 Master• s by dept. 19 Fellowship (2) 2800-3000 9 Teaching Assistantship (7) 2000-2500 9 762-1619 20 Ph. D. (1973-1975 incl.) Research Assistantship (6) 1000-3990 9 762-1619 20 CS 7, AM 7, Other 2. Computer Center Assistantship(6) 1200 762-1619 12 Total: 16 Virginia Commonwealth University, Richmond 23284 DEPARTMENT OF MATHEMATICAL SCIENCES Bachelor• s by inst. 2778 Reuben W. Farley, Acting Chairman Bachelor• s by dept. 18 Master• s by dept. 5 Teaching Assistantship (10) 3500 10 12-15 Teaching *Full-time, per year: residents--$650; nonr<>sidents--$930, Part-time, per credit hour: residents--$3H; nonresidents $52. Virginia Commonwealth University, Medical College of Virginia, Richmond 23298 DEPARTMENT OF BIOSTATISTICS Applications due: 5/1/76 Master• s by dept. 2 S. James Kilpatrick, Jr., Chairman Ph. D. (1973-1975 incl.) Fellowship (1) 2400-2500 12 12-20 P&S 2. Total: 2 Teaching Assistantship (13) 2·100-2500 12 12-20 *Residents: $720; nonresidents: $1030.

Virginia Polytechnic Institute and State University, Blacksburg 24061 DEPARTMENT OF MATHEMATICS Applications due: 4/1/76 Bachelor• s by inst. 2999 C. Wayne Patty, Head Bachelor• s by dept. 55 Master• s by dept. 17 Teaching Assistantship (39) 31;00-4005 9 229/qtr. 20 Ph. D. (1973-1975 incl.) A&NT 2, G&T 5, A&FA 1. Total: 8

DEPARTMJo;NT OF COMPUTER SCIENCE Applications due: 4/1/76 Bachelor• s by inst. 2999 Richard E. Nance, Head Bachelor• s by dept, 32 Master• s by dept. 8 Teaching Assistantship (14) 3600-4000 9 230/qtr. 20 Teaching Research Assistantship (2) -ifiH0-5220 12 230/qtr. 20 Research

432 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial aniltance amount 9 or 12 if not Included houn lypa Academic year (with numberanllcipated 1976-1977) indollan months in stipend ( dollan) per week of service 1974-1975 DEPARTMENT OF STATISTICS Applications due: 2/28/76 Bachelor' s by inst. 2738 Jesse C. Arnold, Head Bachelor• s by dept. 8 Master• s by dept. 8 Fellowship (2) 200/mo. Teaching Assistantship (18) 400-445/mo. 239/qtr. 20 Ph. D. (1973-1975 incl.) Research Assistantship (6) 400-445/mo. 239/qtr. 20 P&S 24. Total: 24

Virginia State College, Petersburg 23803 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor• s by dept. 9 Walter Elias, Jr. , Chairman Master• s by dept. 11 Research Assistantship (4) 3600 12 15 Research NSF Trainee (1) 3600 12 3c *Residents: $690; Nonresidents: $1150. WASIDNGTON Central Wasbington State College, Ellensburg 98926 DEPARTMENT OF MATHEMATICS Applications due: 2/15/76 Bachelor• s by inst. 1414 Robert Y. Dean, Chairman Bachelor• s by dept. 16 Master• s by dept. 10 Teaching Assistantship (5) 3222 9 * 20 *Residents: $189 per quarter; nonresidents: $473 per quarter. Eastern Washington State College, Cheney 99004 DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE Applications due: 3/1/76 Bachelor• s by inst. 1200 Hugh D. Sullivan, Chairman Bachelor• s by dept. 24 Master• s by dept. 3 Teaching Assistantship (3) 1066/qtr. 9 * 15 *Residents: $189/qtr.; nonresidents: $473/qtr. University of Washington, Seattle 98195 DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor• s by inst. 5758 Jack Segal, Chairman Bachelor• s by dept. 114 Master• s by dept. 14 Fellowship (1) Varies 12 Teaching Assistantship (60) 4419-4977 9 624 20 * Teaching Ph. D. (1973-1975 incl.) Research Assistantship (3) 4005-4518 9 624 Research A&NT 3, G&T 9, L 1, A&FA 11, CS 1, AM 2, other 2. Total: 29 *4 to 6 hours in class plus office hours and preparation time.

DEPARTMENT OF BIOMATHEMATICS Master• s by dept. 5 Richard A. Kronmal, Chairman Ph. D. (1973-1975 incl.) Fellowship (16) 2400-3900 12 other 12. Total: 12 Teaching Assistantship (2) 4419-4698 9 * 20 Teaching Research Assistantship (10) 5340-6024 12 * 20 Research Postdoctoral (1) 10000-10800 12 ** *$208 per quarter in-state. **$208 per quarter in-state or $547 per quarter out-of-state.

G caccccaccccccccca~ccccccccccccccccccccccc~ UNIVERSIDAD DE LOS ANDES Facultad de Ciencias-Departamento de Matematicas Merida-Venezuela

The Department of Matherootics of the Universidad d£ Los Ancks, MeridJJ, Venezuela, requires the services of able Mathematicians who can enhance the knowledge and research abilities of our working groups in the fields of: DIFFERENTIAL EQUATiONS- -- TOPOLOGY FUNCTIONAL ANALYSIS- -- PROBABILITY THEORY Some knowledge of Spanish is required but not essential. Send Curriculum Vitae to the above mentioned address.

433 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED afll-nclal.-nco amount 9 or 12 If not lnduclocl houiS type ~micyear (with number anticipated 1976-1977) lndollan months In stipend ( dollaiS) per wHk of service 1974-1975 Washington State University, Pullman 99163 DEPARTMENT OF PURE AND APPLIED MATHEMATICS Applications due: * Bachelor• s by inst, 2814 Calvin T, Long, Chairman Bachelor's by dept. 25 Teaching Assistantship (31) 4410-4644 9 624 20 Teaching Master• s by dept, 9 Graduate School-minorities (1) 4410-4644 9 624 20 Teaching Ph, D. (1973-1975 incl.) A&NT 8, G&T 3, A&FA 5, AM 2. Total: 18. *Consideration begins 2/1/76, DEPARTMENT OF COMPUTER SCIENCE Applications due: 3/1/76 Bachelor's by inst, 2814 Ottis W. Rechard, Chairman Bachelor• s by dept, 25 Teaching Assistantship (12) 2205-4410 9 624/yr. 10_20 Teaching Master's by dept, 12 Research Assistantship (8) 2088-4176 9 624/yr, 10-20 Research Ph, D. (1973-1975 incl.) Computer Center Staff 'C'S""7."Total: 7 Assistantship (7) 2205-4410 9 624/yr, 10-20 Consulting, programming Western Washington State College, Bellingham 98225 DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE Applications due: 5/76 Bachelor• s by inst. 1388 Robin W. Chaney, Chairman Bachelor• s by dept, 51 Master• s by dept. 5 Teaching Assistantship (4) 3231 9 567/yr. 3-5c Teaching

WEST VmGINIA Marshall University, Huntington 25701 DEPARTMENT OF MATHEMATICS Applications due: 5/1/76* Bachelor• s by inst. 1179 John W. Hogan, Chairman Bachelor's by dept, 8 Master• s by dept. 6 Teaching Assistantship (3-7) 1800-2400 9 6c Teaching *Late applications will be considered. West Virginia University, Morgantown 26506 DEPARTMENT OF STATISTICS AND COMPUTER SCIENCE Bachelor's by dept, 36 Master• s by dept, 11 Donald F. Butcher, Chairman Teaching Assistantship (10) 2394-2502 9 12 Teaching Research Assistantship (3) 3000-3600 12 14 Statistical analysis, computer programming WISCONSIN Marquette University, Milwaukee 53233 DEPARTMENT OF MATHEMATICS AND STATISTICS Applications due: 2/15/76 Bachelor• s by inst. 1308 Willard E. Lawrence, Chairman Bachelor• s by dept, 37 Master• s by dept. 18 Teaching Assistantship (10) 2900-3300 9 6c Teaching Research Assistantship (2) 2700-3100 ,,9 up to 20 Research Scholarship * *24 hours of tuition scholarship to be distributed, University ofWisconsin-Eau Claire 54701 DEPARTMENT OF MATHEMATICS Bachelor• s by inst. 995 Lawrence Wahlstrom, Chairman Bachelor's by dept, 41 Master• s by dept, 7 Teaching Assistantship (1) 2940 9 400 20 Teaching, research Work Study Indefinite 9 or 12 * Varies Teaching, research *Residents: $400; nonresidents: $1070. University of Wisconsin, Madison 53706 DEPARTMENT OF MATHEMATICS Applications due: 1/15/76 Bachelor• s by inst, 4754 Peter E, Ney, Chairman Bachelor's by dept. 56 Mastel" s by dept, 25 Fellowship (10) 3978-4862 9-12 950 Full graduate course Ph, D. (1973-1975 incl.) load A&NT 23, G&T 8, L 7, Teaching Assistantship (150) 4300-4800 9 950 17-23 Teaching A&FA 26, P&S 1, AM 3, Research Assistantship (4) 3800-4600 9-12 950 20 Research Total: 68

434 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of fl•ndalass.. tance amount 9or12 ifnotindu..- hours type Acaclemicy•r (with numloeranNdpated1976·1977) inclollan months in stipend ( clollan) per week ofHrvico 1974-1975

DEPARTMENT OF COMPUTER SCIENCES Applications due: 1/15/76 Bachelor's by inst. 4754 R. L. Venezky, Chairman Bachelor• s by dept. 27 Master• s by dept. 53 Fellowship (5) 3978 9 900 1/2 Teaching Assistantship (42) 4796 9 900 20 Teaching Ph. D. (1973-1975 incl.) 3/8 Teaching Assistantship (15) 3600 9 900 15 Teaching CS 37. Total: 37 Research Assistantship (10) 3780 9 900 20 Research MRC (1) 3600 12 Research

DEPARTMENT OF STATISTICS Applications due: 1/15/76 Bachelor• s by inst. 4754 John Van Ryzin, Chairperson Bachelor• s by dept. 5 Master• s by dept. 11 Fellowship (5) 4620 12 Teaching Assistantship (18) 4797-5863 9 or 12 450/sem. 20 Teaching Ph. D. (1973-1975 incl.) Research Assistantship (24) 3780-4620 9 or 12 450/sem. Research P&S 30. Total: 30 Project Assistantship (3) 4599-5621 9 or 12 450/sem. 20 Research University of Wisconsin-Milwaukee 53201 DEPARTMENT OF MATHEMATICS Applications due: 2/15/76 Bachelor's by inst. 2528 Lindsay A. Skinner, Chairman Bachelor's by dept. 44 Fellowship (2) 4202 9 908 9 Research Master• s by dept. 11 Teaching Fellowship (1) 1264.50 9 908 2 Teaching Ph. D. (1973-1975 incl.) 4202 9 Research A&NT 5, A&FA 7. Total: 12

Teaching Assistantship (40) 4869-5058 9 908 6 Teaching University of Wisconsin-River Falls 54022 DEPARTMENT OF MATHEMATICS Applications due: 3/15/76 Bachelor's by inst. 552 Lillian Gough, Chairman Bachelor's by dept. 31 Teaching Assistantship (5) 2300-2700 9 260/qtr. 14 Master• s by dept. 5 University of Wisconsin-Whitewater 53190 DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE Applications due: 7/15/76 Bachelor• s by inst. 1182 Carroll E. Flanagan, Chairman Bachelor• s by dept. 150 Nonteaching Student Master• s by dept. 6 Assistantship (1) 2600-2800 9 * 20 Supervision *Nonresidents fees waived. $380. 50 to be paid.

WYOMING University of Wyoming, Laramie 82071 DEPARTMENT OF MATHEMATICS Applications due: 3/15/76 Bachelor• s by inst. 1306 Joseph Martin, Head Bachelor• s by dept. 13 Master• s by dept. 3 Teaching Assistantship (18) 3150-4194 9 * * Ph. D. (1973-1975 incl.) A&FA 3, AM 4. Total: 7 *18-24 hours of service per week required which includes 6-8 contact hours of teaching.

DEPARTMENT OF STATISTICS Applications due: 3/1/76 Bachelor• s by inst. 1306 Donald A. Anderson, Acting Head Bachelor• s by dept. 6 Teaching Assistantship (7) 3150 9 18 Master• s by dept. 3 Research Assistantship (2) 3150 9 18 CANADA Acadia University, Wolfville, Nova Scotia DEPARTMENT OF MATHEMATICS Applications due: 3/1/76 Bachelor• s by inst. 322 F. H. Chipman, Acting Head Bachelor• s by dept. 70 Master• s by dept. 2 Fellowship (6) 2800 9 550 6 Tutorial Carleton University, Ottawa, Ontario DEPARTMENT OF MATHEMATICS Applications due: 3/15/76 Bachelor• s by lnst. 1989 D. A. Dawson, Chairman Bachelor• s by dept. 55 Master• s by dept. 11 Fellowship (5) 4800-5000 12 638 Teaching Teaching Fellowship (12) 4800-5000 12 638 Teaching Ph. D. (1973-1975 incl.) Teaching Assistantship (12) 1600-3000 9 638 Teaching A&NT 4, G&T 1, A&FA 3, Research Assistantship (12) 1000-5000 12 638 Research P&S 1, AM 2. Total: 11 Scholarship (9) 1000-5000 12 638

435 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of flnanclal aulstance amount 9 or 12 If not included hours type Academic year (with numberanHcipatocl1976-1977) in dollars months in stipend ( doUan) per week of service 1974-1975 Dalhousie University, Halifax, Nova Scotia DEPARTMENT OF MATHEMATICS Applications due: 7/1/76 Bachelor's by inst. 740 W. R. S. Sutherland, Chairman Bachelor• s by dept. 52 Master• s by dept. 7 Teaching Fellowship (10) 2180-6300 12 800 7 Marking, tutoring Ph. D. (1973-1975 incl.) Research Assistantship (8) 3500-6300 12 800 7 Marking, A&NT 2, G&T 1, A&FA 1, tutoring P&S 1, CS 1, AM 1. Total: Lakehead University, Thunder Bay, Ontario DEPARTMENT OF MATHEMATICAL SCIENCES Bachelor• s by mst. 396 Clement F. Kent, Chairman Bachelor's by dept. 10 Teaching Assistantship (10) 3000 12 935 15 Teaching Master• s by dept. 2 McGill University, Montreal, Quebec DEPARTM:I!:NT OF MATHEMATICS Applications due: 3/1/76 Master• s by dept. 11 E. Rosenthall, Chairman Ph. D. (1973-1975 incl.) Fellowship (5) 2000-4500 9 659 A&NT 8, A&FA 2, P&S 1. Teaching Assistantship (20) 3300-6600 9 659 Total: 11 Research Assistantship (25) 2400-4500 12 659 Demonstrator (60) 490-1750 9 659

Simon Fraser University, Burnaby, British Columbia DEPARTMJ!:NT OF MATHEMATICS Applications due: 4/30/76 Bachelor• s by inst. 696 N. R. Reilly, Chairman Bachelor's by dept. 25 Master• s by dept. 4 Teaching Assistantship (15) 3970-4840 8* 150-190/ 15 Teaching sem. ** Ph. D. (1973-1975 incl.) L 1, AM 1. Total: 2 *May be extendable to 12 mos. with $1, 500 research assistantship or stipend. **Fees are reducpd in the second or third SE'mester to $20. Universite Laval, Quebec, Quebec DEPARTME.NT OF MATHEMATICS Applications due: 5/1/76 Bachelor• s by inst. 2389 Norbert LacroL'<, Directeur (Chairman) Bachelor• s by dept. 28 Master• s by dept. Teaching Assistantship (25) 900-3200 9 10/cr. 4-10 7 Research Assistantship (4) 900-3200 9 10/cr. 4-10 Ph. D. (1973-1975 incl.) Scholarship (5) 4000-5000 12 10/cr. A&FA 1. Total: 1 Universite de Montreal, Montreal, Quebec DEPARTMENT OF COMPUTER SCIENCE Applications due: 4/1/76 Bachelor• s by inst. 5000 Paul Bratley, Chairman Bachelor• s by dept. 70 Master• s by dept. 20 Teaching Assistantship (55)UPE* 300-2500 9 510 1-9 Research Assistantship (15) 500-4500 4-12 510 Varies Ph. D. (1973-1975 incl.) CS 2, AM 8. Total: 10 *UPE means "unite de participation a 1• enseignement". 1 UPE corresponds to 9 hours per week for one trimester.

Universite de Sherbrooke, Sherbrooke, Quebec DEPARTMENT OF MATHhMATICS Applications due: 5/1/76 Bachelor• s by inst. 1200 Jean-Pierre Samson, Chairman Bachelor• s by dept. 40 Teaching Assistantship (6) 1400-4200 9 465 Master's by dept. 7 Research Assistantship (1) 6000-9000 12 Ph. D. (1973-1975 incl.) University of Alberta, Edmonton, Alberta A&FA 3. Total: 3

DEPARTMENT OF MATHEMATICS Applications due: 3/31/76 Bachelor's by inst. 1120 A. Meir, Acting Chairman Bachelor• s by dept. 10 Teaching Assistantship (25) 3100-5400 9 500 6c Teaching Master• s by dept. 5 Ph. D. (1973-1975 incl.) A&NT 1, G&T 4, A&FA 7, P&S 1. Total: 13

DEPARTMENT OF COMPUTING SCIENCE Applications due: 5/1/76 Bachelor• s by inst. 1120 Arthur Wouk, Chairman Bachelor• s by dept. 44 Fellowship (1) Master• s by dept. 13 Teaching Assistantship (28) 3100-3500 9 Ph. D. (1973-1975 incl.) Research Assistantship (2) 3100-3500 9 CS 6. Total: 6 Scholarship (2) 1800-3000 9 Research Assistantship}<13) 281_1125 4* Teaching Assistantship *Summer months. 436 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial aniltance amount 9 or 12 If not included hours type Academic year (with number antlcipatetl1976·1977) in dollars months in stipend (dollars} per wHk of service 1974-1975

University of British Columbia, Vancouver, British Columbia DEPARTMENT OF MATHEMATICS Bachelor• s by inst. 3090 D. Bures, Head Bachelor• s by dept. 64 Master• s by dept. 6 Teaching Assistantship (45) 6 and 12 Ph. D. (1973-1975 incl.) A&NT 3, G&T 8, L 1, A&FA 5, P&S 1, CS 1, AM 3. Total: 22 University of Calgary, Calgary, Alberta DEPARTMENT OF MATHEMATICS AND STATISTICS Applications due: 3/76 Bachelor• s by inst. 1246 Richard K. Guy, Acting Head Bachelor• s by dept. 52 Master• s by dept. 2 Teaching Assistantship 1750-2150 4 12 Research Assistantship 1400 4 Ph. D. (1973-1975 incl.) A&NT 1, G&T 2, A&FA 4, P&S 1, AM 4, other 1. Total: 13 University of Guelph, Guelph, Ontario DEPARTMENT OF MATHEMATICS AND STATISTICS Applications due: 3/1/76 Bachelor• s by inst. 1798 R. G. Buschman, Chairman Bachelor• s by dept. 7 Teaching** Master's by dept. 1 Teaching Assistantship (6)* 3000 9-12 224/sem. 10 Research Assistantship (4)* 500-2500 3-12 224/sem. ,;;; 10 Research Sessional Lecturship (10) 4500-6000 9-12 ;>224/sem. ,;;; 20 Teaching** *Teaching and Research Assistantships may be held simultaneously. **Usually involves work in labs and marking. University cif Manitoba, Winnipeg, Manitoba DEPARTMENT OF MATHEMATICS Applications due: 3/15/76 Bachelor• s by inst. 2990 N. S. Mendelsohn, Head Bachelor• s by dept. 85 Master' s by dept. 4 Teaching Assistantship (5) 4000-4500 9 3 Tutorial Research Assistship (5) 4000-4500 9 3 Grading Ph. D. (1973-1975 incl.) A&NT 3, G&T 1, A&FA 1. Total: 5

DEPARTMENT OF STATISTICS Applications due: 3/31/76 Bachelor• s by inst. 2990 B. K. Kale, Head Bachelor• s by dept. 12 Master's by dept. 7 Teaching Assistantship (8) 1600-2480 9 475 5-6 University of New Brunswick, Fredericton, New Brunswick DEPARTMENT OF MATHEMATICS Applications due: 3/15/76 Bachelor• s by inst. 1000 T. D. Howroyd, Chairman Bachelor• s by dept. 16 Master• s by dept. 2 Fellowship (5) 2800-3300 9 550 6 Research Teaching Assistantship (10) 2800-3300 9 550 3 Teaching Ph. D. (1973-1975 incl.) Research Assistantship (5) 2800-3300 9 550 6 Research A&NT 2, AM 1, other 2. Total: 5 University of Ottawa, Ottawa, Ontario DEPARTMENT OF MATHEMATICS Bachelor• s by inst. 1600 Remi Vaillancourt, Chairman Bachelor• s by dept. 25 Master• s by dept. 5 Teaching Fellowship (4) 3000-5000 12 631 4 Teaching Teaching Assistantship (12) 3000-3500 12 631 4 Teaching Ph. D. (1973-1975 incl.) Research Assistantship (2) 3500-5000 12 631 4 Research G&T 1, A&FA 1. Total: 2 University of Regina, Regina, Saskatchewan DEPARTMENT OF MATHEMATICS Applications due: 6/15/76 Bachelor• s by inst. 1100 I. McDonald, Head Bachelor• s by dept. 40 Master• s by dept. 2 Teaching Fellowship (2) 43 50 9 500 5c Teaching Ph. D. (1973-1975 incl.) A&NT 1. Total: 1 University of Toronto, Toronto, Ontario DEPARTMENT OF MATHEMATICS · Applications due: 6/30/76 Master• s by dept. 29 F. V. Atkinson, Chairman Ph. D. (1973-1975 incl.) Teaching Fellowship (16) 2500-3000 9 650 A&NT 12, G&T 14, L 6, Teaching Assistantship (100) 1000 9 650 A&FA 8, P&S 8, CS 2, Scholarship (27) 3000 650 AM 3, other 1. Total: 54

437 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial auiltance amount 9 o1'12 If not lncludool hou10 typo Acadernlc,_r (with numloorantklpated1976·1977) In dolla10 manths in stlpond (dollaiS) parw...... 1974-1975 DEPARTMENT OF COMPUTER SCIENCE Applications due: 2/1/76 Bachelor's by inst. 6700 J. N. P. Hume, Chairman Bachelor• s by dept. 32 Master's by dept. 34 Fellowship University (2) 2400 12 all Teaching Assistantship (45) 1000 9 all 4-5 Teaching Ph. D. (1973-1975 incl.) Research Assistantship 4000-4500 12 all CS 21. Total: 21 Scholarship NRC* 5000 12 all OGS* 2400 12 *Numbers not given. University of Waterloo, Waterloo, Ontario FACULTY OF MATHEMATICS Applications due: 4/15/76 Bachelor' s by inst. 2506 W. F. Forbes, Dean Bachelor's by dept. 448 Master• s by dept. 69 Teaching Assistantship (225) 1500-3000 12 650 5-10 Marking, etc. Ph. D. (1973-1975 incl.) Research Assistantship (105) 4500 12 650 Research A&NT 4, G&T 4, L 2, Scholarship (15) 500-2000 8/12 650 A&FA 1, P&S 14, CS 25, AM 11, Other 13. Total: 74 University of Western Ontario, London, Ontario DEPARTMENT OF MATHEMATICS Applications due: 8/15/76 Bachelor's by inst. 3292 D. Borwein, Head Bachelor's by dept. 17 Teaching Assistantship (24) 600-3000 8 662 3-7 Tutoring, Master's by dept. 6 marking, Ph. D. (1973-1975 incl.) proctoring A&NT 3, A&FA 4, P&S 3, Research Assistantship (3) 700-3375 2-9 662 Research CS 1. Total: 11 University of Windsor, Windsor, Ontario DEPARTMENT OF MATHEMATICS Applications due: 5/1/76 Bachelor' s by inst. 1700 F. Wm. Lemire, Chairman Bachelor's by dept. 35 Master's by dept. 7 Teaching Assistantship (20) 1800-2700 9 650 5-10 Preside at tutorials Ph. D. (1973-1975 incl.) Scholarship (6-8) 1500-4000 12 650 AM 2. Total: 2 York University, Toronto, Ontario DEPARTMENT OF MATHEMATICS Applications due: 5/1/76 Bachelor• s by inst. 2800 Ronald A. Schaufele, Chairman Bachelor• s by dept. 42 Master's by dept. 16 Teaching Assistantship (25) 2400-3000 9-12 600 10 Teaching Scholarship (5) 1000 9

438 II. STIPENDS FOR STUDY AND TRAVEL Graduate Support American Association for the Advancement of Science. Summer Employment. Supports up to fifteen outstanding advanced graduate students in the social and natural sciences as intern reporters, re­ searchers, or production assistants in a variety of media for the summer of 1976. In a few excep­ tional cases junior, senior or postdoctoral candidates will be considered and candidates who can present convincing reasons for extending their internships through the fall may be permitted to do so. The students will work for specific media organizations in an existing intern program operated for undergraduates and recent graduates who are planning journalism careers. Travel expenses and salaries will be paid by the Association. Interested students may have a faculty member submit a letter of nomination to the AAAS. In addition, the applicant should send a curriculum vita, three references and a letter stating media preference and describing: (a) reasons for wanting to participate, (b) professional interests in the sciences, (c) beliefs about improving journalism by infusing it with the natural and/or social sciences and (d) how a scientist might benefit from exposure to the mass media. The application deadline is February 1, 1976. Applications and recommendations should be sent to Wendy Weisman-Dermer, Mass Media Intern Program, American Association for the Ad­ vancement of Science, 1776 Massachusetts Avenue N. W., Washington, D. C. 20036.

Ames Laboratory. Graduate assistantships. Areas of interest include computer languages, program­ ming systems for command and control, adaptive and self-organizing logic systems with application to control processes, numerical analysis, differential and integral equations, special function theory, and applied mathematics. Direct inquiries to Dr. R. S. Hansen, Director, Ames Laboratory, Iowa state University, Box 1129, ISU station, Ames, Iowa 50010.

Battelle Memorial Institute, Pacific Northwest Laboratory. Mathematics efforts in support of a number of on-going Energy Research and Development Administration programs include neutron transport and radiative transfer, plasma dynamics, electromagnetic theory, applied statistics, dif­ fusion processes, two-phase fluid flow, stochastic processes, and economic modelling. A limited number of summer appointments are available to faculty members, graduate students, and under­ graduates through the NORCUS Program. Inquiries should be directed to NORCUS Office, Joint Cen­ ter for Graduate Study, 100 Sprout Road, Richland, Washington 99352. Center for Naval Analyses. 1976 Summer Employment. CNA, operated under contract with the Uni­ versity of Rochester, is engaged in a broad spectrum of operations research and systems analysis studies for the U.S. Navy and other government agencies. Opportunities are available for graduate students in operations research, economics, engineering, mathematics, physics, and statistics. Assignments include analysis related to force level planning, manpower, logistics, and operational effectiveness. U.S. citizenship required. Information may be obtained from Ms. Esther M. Rauch, Manager, Professional Staffing, Center for Naval Analyses, 1401 Wilson Boulevard, Arlington, Virginia 22209. Danforth Foundation. Danforth Fellowships. Purpose is to encourage and support persons who in­ tend to study for a Ph. D. in anY field of study in the arts and sciences which contributes to a liberal education in preparation for teaching in colleges and universities. Open to seniors or graduates of accredited colleges and universities in the United states who have not begun any graduate study. Candidates for appointment are restricted to those persons nominated by Liaison Officers (faculty members appointed by college and university presidents) in accredited U.S. undergraduate colleges. Information is available from the Liaison Officer, or by writing to the Director of the Danforth Fellowship Program, Danforth Foundation, 222 South Central Avenue, st. Louis, Missouri 63105. Danforth Foundation. Graduate Fellowships for Women. Objective is to find and develop college and secondary school teachers and administrators among that group of women whose preparation for teaching has been postponed or interrupted. Open to women who hold bachelor's degrees from ac­ credited institutions; have had a break of at least three years' duration when they were neither study­ ing nor teaching; and at the time of application not employed as full-time college teachers or enrolled as full-time graduate students. Twenty-five one-year appointments available each year. Renewable. Application materials and further information available from the Director, Danforth Graduate Fellow­ ships for Women, Danforth Foundation, 222 South Central Avenue, St. Louis, Missouri 63105. Danforth Foundation. Kent Fellowships. Awarded to selected persons pursuing graduate studies who seek to become college teachers. Applicants must plan to attain a Ph. D. (or an appro­ priate advanced terminal degree) in any field of study common to the undergraduate liberal arts cur­ riculum in the U. S. A minimum of one year of full-time graduate study in the doctoral program must have been completed at the time of application. Awards are for one year, but are normally renewable until completion of the degree or for a maximum total of three years of graduate study. Stipends pay for living expenses (within set limits) and for required tuition and fees. Dependency allowances for a

439 spouse and children are provided. Further information may be obtained from the Kent Fellowship Program, Danforth Foundation, 222 South Central Avenue, St. Louis, Missouri 63105, Daniel and Florence Guggenheim Foundation. Fellowships for U. S. and Canadian residents interested in jet propulsion, energy conversion and fluid mechanics. For information write to California Insti­ tute of Technology, Columbia University, and Princeton University. General Electric Foundation. Provides research and study grants to selected institutions on a pro­ grammed, rotational basis, to be used by the graduate departments as they deem appropriate, which includes fellowships and teaching assistantships in some cases. The Foundation does not grant fel­ lowships or other awards to individuals. For specific information regarding institutions to which grants have been made, write to Richard E. Kramer, Jr., 1285 Boston Avenue, Bridgeport, Con­ necticut 06602. Graduate Women in Science. A grant-in-aid of $750 is available to any woman who holds a degree from a recognized institution of higher learning, has demonstrated outstanding ability and promise in research in one of the mathematical, physical or biological sciences, and is currently involved in research or has an approved research proposal. The period of the grant shall not exceed one calen­ dar year. The stipend may be applied either directly to the research project or to course work, pro­ vided the latter is relevant to the research program. Appointments will be made irrespective of race, nationality, creed, or marital status. Special consideration will be shown to applicants 35 years of age or older, but younger women should feel free to apply. Application forms and further information may be obtained from Dr. Sandra R. Grabowski, Department of Biological Sciences, Purdue University, West Lafayette, Indiana 47907. Applications and credentials must be submitted by February 1, 1976. Awards will be announced by April!, 1976, Johns Hopkins University. School scholarships are available to students seeking the Sc.M. or Ph.D. in biostatistics. Applicants should have one year of biological, physical, or social science in addi­ tion to preparation in mathematics. Address inquiries to Chairman, Department of Biostatistics, School of Hygiene and Public Health, 615 North Wolfe street, Baltimore, Maryland 21205. Kappa Kappa Gamma Fraternity. Fellowships. Awards of $500 for graduate study. These are open to women who are citizens of the United States or Canada and who have received a Bachelor's degree or will obtain it prior to July 1 of the year in which the awards are made. This degree must be from an institution where a chapter of Kappa Kappa Gamma is located or graduate work must be taken on a campus where a chapter is located. Awards are made entirely on a competitive basis without regard to fraternity affiliation. A candidate must be a person with high scholastic standing who is outstand­ ing in some form of activity and who has made a real contribution to the life of her alma mater. She should have a well outlined plan for graduate activity, have a definite goal in prospect, and know what use she expects to make of her work in the future. Applications must be completed before February 15, Forms are available from Dr. Miriam Locke, Chairman of Fellowships, Kappa Kappa Gamma Fraternity, Box 1484, University, Alabama 35486. Laboratory Graduate Participation. Opportunity for graduate students working toward master's and doctoral degrees in scientific fields, including mathematics, to use ERDA installations at Oak Ridge National Laboratory, Puerto Rico Nuclear Center, Savannah River Laboratory, and Savannah River Ecology Laboratory for thesis research. An annual stipend payment of $3,600 is applicable for all levels. U.S. citizenship is required, About twenty-five appointments are awarded annually. In­ quiries may be addressed to University Programs Office, Oak Ridge Associated Universities, P. 0. Box 117, Oak Ridge, Tennessee 37830. National Direct Student Loan Program. Fields unrestricted. Student must be carrying at least one­ half the normal full-time academic workload as determined by the U.s. institution where he is or will be enrolled. Funds are administered by participating U. s. institutions, and applications should be made through the Director of Admissions or officer in charge of student financial aid. Other in­ quiries may be addressed to Division of Student Support and Social Programs, Bureau of Post­ Secondary Education, U.S. Office of Education, Washington, D. C. 20202. National Science Foundation. Faculty Fellowships in Science Applied to Societal Problems. Approxi­ mately eighty Science Faculty Fellowships will be awarded to science teachers at two-year and four­ year colleges and at universities in April, 1976. Awards will be offered in all fields of science, in­ cluding mathematics and engineering, to citizens or nationals of the United States who have a bac­ calaureate degree and five years or more of full-time college teaching. Applicants will be divided into three categories: those with bachelor's and master's degrees; those with doctoral degrees; and faculty from two-year or community colleges. Awards will be based on merit and applications will be evaluated by panelists appointed by the American Council on Education. The application deadline is February 6, 1976. Application materials are available from the NSF. The tenure period for Science Faculty Fellowships varies from three to nine months. Fellowship stipends are based on salary paid during the preceding year. The NSF also provides a limited travel allowance to the fel­ low and an allowance to the fellowship institution to assist in meeting tuition and costs. For more in­ formation and/or application materials, contact Faculty Fellowships in Science Applied to Societal Problems Program, Division of Higher Education in Science, National Science Foundation, Washing­ ton, D. C. 20550.

440 National Science Foundation. Graduate Fellowships. Three-year awards available to citizens or nationals of the U. S. for full-time study leading to master's or doctoral degrees in science (including mathematics). Awards made only to students who have completed not more than one year of graduate study. stipends of $3, 900 for a 12-month tenure ($325 per month), regardless of level of study. No dependency allowances. Cost-of-education allowance paid to U.S. fellowship institution; tuition and fees to foreign fellowship institution. Application deadline December 1, 1975, Further information and application materials may be obtained from the Fellowship Office, National Research Council, 2101 Constitution Avenue, N. W., Washington, D. C. 20418. RCA Fellowships. Grants are limited to graduate study in electrical engineering, electronics, engi­ neering physics, journalism and physics. (Journalism fellowship limited to qualified news person associated with NBC affiliated stations.) Candidates are selected by appropriate officials in desig­ nated continental U.S. universities. Although appointments are for one year, RCA Fellows are eligible for reappointment. Grants include payment of full tuition costs, stipend, and an unrestricted grant to the university department in which the Fellow is studying. For further information, write to the Educational Aid Committee, RCA Corporation, Cherry Hill, New Jersey 08101. Smithsonian Institution. Predoctoral Fellowships. Appointments to students recommended by uni­ versities where they have substantially completed formal course requirements for the doctorate, or its equivalent, to conduct research upon completion of which the award of the degree is anticipated. Offered annually in the history of mathematics, usually for a period of twelve months, but never for less than six months. $5,000 stipend, plus research expense allowance. The proposed project must be approved in advance by appointee's advisor and must be related to research and interests of the Institution. Deadline for application is January 15th yearly for the following academic year, Further information and application forms may be obtained from the Office of Academic studies, Smithsonian Institution, Washington, D. c. 20560. University of Massachusetts. Sabbatical Lectureships. Available in the Department of Mathematics and Statistics, these lectureships are open to faculty members of four-year colleges, or universities without a Ph. D. program in mathematics, who wish to spend their sabbatical leaves at the University of Massachusetts. Lecturers must have a master's degree in mathematics, but not a Ph.D.; will be required to teach one course per semester; and will be expected to enroll in two courses and one seminar. stipends of $4,000 are available; tuition will be waived. For further information, write to Professor J. C. Su, Acting Head, Department of Mathematics and statistics, University of Massa­ chusetts, Amherst, Massachusetts 01002. Zonta International. Amelia Earhart Fellowships. For women holding a bachelor's degree in science and interested in graduate work in aero-space science. Recipients will be granted $3,000, and past recipients may apply for renewed grants. Applications must be filed by January 1, 1976. Write to Zonta International, 59 East Van Buren Street, Chicago, Illinois 60605. Postdoctoral Support Air Force Office of Scientific Research. Research Contracts and Grants. Mathematicians and sci­ entists in the information or mathematical sciences are encouraged to submit proposals through their organizations, for research. It is helpful if proposals to be considered under a given fiscal year, which begins on July 1, are submitted prior to that date. Recipients of support are notre­ quired to be U.S. citizens. Research areas of interest include physical mathematics, probability and statistics, numerical analysis, system science, control theory, and information science. Re­ search proposals should be forwarded to the Director of Mathematical Information Sciences, Air Force Office of Scientific Research, Building 410, Bolling AFB, Washington, D. C. 20332. Air Force Systems Command. Postdoctoral and Senior Postdoctoral Research Associateships. Awards made in several fields, including mathematics. Tenable at several laboratories in the United States. Annual stipend for these appointments if $15, 000 for the recent recipient of the doctorate with an adjustment made for the senior candidate. More details regarding this program may be ob­ tained from the Associateship Office, JH 606, National Research Council, 2101 Constitution Avenue N. W., Washington, D. C. 20418. Deadline for submission of applications is January 15, 1976. In­ quiries cannot be processed after January 10, 1976. American Mathematical Society Research Fellowship. Postdoctoral Fellowships. Open to citizens or permanent residents of a country in North America. Intended to support Research Fellows for one year and awarded on the basis of mathematical merit. Awards for 1976-1977 are to be approximately $10,500 each; application deadline for 1976-1977 awards is March 15, 1976. The fellowships are awarded to individuals who have recently received the Ph. D. For further information and application forms write to Dr. Gordon L. Walker, Executive Director, American Mathematical Society, P. 0. Box 6248, Providence, Rhode Island 02940. American Philosophical Society. Postdoctoral research grants of small amounts according to need for candidates with Ph. D. or equivalent to aid specific research projects. Tenable abroad and in U. S. An application must reach the Society's office at least eight weeks in advance of the meeting at which it is to be considered. The Committee on Research meets on the first Friday of February, April, June, October, and December. For information write to the American Philosophical Society, 104 South Fifth street, Philadelphia, Pennsylvania 19106.

441 Andrew Mellon Postdoctoral Fellowships. Intended to support the research and foster the professional development of scholars who give promise of achieving distinction in their fields. Applicants should submit a completed application form, a research proposal, a list of publications, and three letters of recommendation. The Fellows are expected to be in residence at the University of Pitts­ burgh and to engage in research during their period of appointment; they have no other formal re-, sponsibilities. A basic stipend of $10,000 for 11 months, plus an allowance for traveling expenses (up to $200) and incidental costs (not to exceed $200), make up the award. Nine-month appointments are available for a stipend of $8,200. Applications may be obtained from the Director of Graduate Programs, Faculty of Arts and Sciences, University of Pittsburgh, Pittsburgh, Pennsylvania 15260, Argonne National Laboratory. Predoctoral, postdoctoral, and visiting scientist appointments in mathematics and computer science with an emphasis on applied analysis and numerical mathematics. Summer appointments available at undergraduate through visiting scientist levels. Contact: James C. T. Pool, Associate Director, Applied Mathematics Division, Argonne National Laboratory, Ar­ gonne, illinois 60439. Army Research Office. Research grants and contracts for basic research in mathematics, informa­ tion and computer sciences, electronics, engineering, and physical, environmental and biological sciences. Write to Chief Scientist, U.S. Army Research Office, P. 0. Box 12211, Research Triangle Park, North Carolina 27709. Australian Institute of Nuclear Science and Engineering. Research Fellowships. Fellowships are in­ tended for scientists and engineers who have qualifications equivalent to the Ph. D. and are at a rela­ tively early stage of an independent research career. Stipends are in the range of $10,000 to $13,000 per year (Australian currency), and the institute may contribute to travel costs to and from Australia. A research project within the field of nuclear science and engineering of interest to the institute must be proposed in the nomination after agreement between the candidate and the nominating organization. Further information can be obtained from Executive Office, Australian Institute of Nuclear Science and Engineering, Private Mail Bag, Post Office, Sutherland N. S. W. 2232, Australia. Candidates must be nominated by an Australian university or the Australian Atomic Energy Commission. Closing dates are February 28 and August 31 each year, and all nominations received after one closing date will be considered together after the next closing date. Ballistic Research Laboratories. Aberdeen Proving Ground, Maryland. Postdoctoral and Senior Postdoctoral Research Associateships, open to U. S. citizens only. Awards made in several fields, including mathematics. Annual stipend for these appointments if $15,000 for the recipient of the doctorate with an adjustment made for the senior candidate. More details regarding this program and application materials may be obtained from the Associateship Office, JH 606, National Research Council, 2101 Constitution Avenue N. W., Washington, D. C. 20418. Deadline for submission of ap­ plications is January 15, 1976. Inquiries cannot be processed after January 10, 1976. Benjamin Peirce Lectureships. Harvard University. Rank of Assistant Professor. The appoint­ ments are for three years with a starting salary of $12, 200 (for the nine-month academic year) and annual increments of $500. This salary can be augmented during the summer by teaching at summer school or by work on a research contract if funds are available. The teaching commitment is six hours a week, including a graduate course on a subject of the lecturer's choice, if desired. Applica­ tion forms may be obtained by writing to the Chairman, Department of Mathematics, Harvard Uni­ versity, 1 Oxford Street, Cambridge, Massachusetts 02138. Applications must be filed by January 10, 1976. Harvard is an Equal Employment/Affirmative Action Employer. Brookhaven National Laboratory. The Applied Mathematics Department of Brookhaven National Laboratory, operated by Associated Universities, Inc., under contract with the U.S. Energy Research and Development Administration, from time to time, offers a limited number of Research Associate appointments to Ph. D.'s. These are salaried positions, as distinguished from postdoctoral fellowships or stipends, and are limited to terms of one or two years. Large scale digital computing facilities, including a CYBER 70/76 and two CDC 6600 computing systems, are available for use by the appointees. Some areas of interest to the Department are probability and statistics, linear operator theory, differential and integral equations, numerical analysis and approximation theory, mathematical programming, and computer science. Inquiries should be directed to: Dr. R. B. Marr, Acting Chairman, Applied Mathematics Department, Brookhaven National Laboratory, Upton, Long Island, New York 11973. C. L. E. Moore Instructorships in Mathematics. Offered by the Department of Mathematics at the Massachusetts Institute of Technology. Open to mathematicians with doctorates who show definite promise in research. The base salary will be at least $14,000, and the teaching load is six hours per week in one semester and three hours per week in the other. The appointments are annual but renewable for one additional year. Applications should be filed not later than January 2 on forms obtained from the Department, 2-173, Massachusetts Institute of Technology, Cambridge, Massa­ chusetts 02139. Cottrell Research Grants. Awarded to help faculty members in the early years of their profes­ sional careers at degree-granting institutions conduct basic research of importance in the physical sciences and engineering, Support is normally given for items of direct expense to help initiate re­ search. Although grants are usually made on a one-year basis, consideration may be given in certain

442 circumstances to a longer period or to reapplication for additional support. Further infonnation may be obtained from Research Corporation, Cottrell Research Grant Program, 405 Lexington Avenue, New York, New York 10017. Courant Institute. The Courant Institute of Mathematical Sciences, with the support of the U.S. Energy Research and Development Administration and other federal agencies, offers research assistantships to graduate students and postdoctoral research appointments. Among the chief areas of current re­ search are probability, analysis, mathematical physics, applied mathematics, numerical analysis, and computer science. These include differential and integral equations, functional analysis, mathemati­ cal topics in biology, electromagnetic theory, wave propagation, fluid and continuum mechanics, plasma physics, kinetictheory, logic, computer design, thetheoryof automata, and computational complexity. Further infonnation about these opportunities can be obtained from Professor Jerome Berkowitz, Courant JnstituteofMathematicalSciences, New York University, 251MercerStreet, New York, New York 10012. Courant Institute. Instructorships in Mathematics. Open to mathematicians with doctor's de- grees who show strong promise in research. The teaching duty will consist of one course each tenn. Appointments are for two years. The academic salary for nine months will be $13,500. In addition, the Courant Institute may be able to offer support for research in residence during two summer months. Inquiries or requests for application forms should be addressed to the Committee on In­ structorships, Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, New York 10012. Applications should be filed no later than January 1, 1976. Courant Institute. Postdoctoral Visiting Memberships. The Courant Institute of Mathematical Sci­ ences of New York University offers postdoctoral Visiting Memberships to mathematicians, scientists and engineers who are interested in its program of training and research in a broad range of pure and applied mathematics. Applications for the academic year 1976-1977 must be submitted before Janu­ ary 1, 1976. Inquiries should be addressed to the Visiting Membership Committee, Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, New York 10012. Department of State, Agency for International Development. Research grants for research projects and analytical studies on development problems and emphasizing food production, nutrition, health, population, socio-economic and related issues. Research groups are encouraged to propose research to the Agency within the above areas. For further infonnation, write to Mr. James R. Roath, Policy Detennination and Analysis, Bureau for Program and Policy Coordination, Agency for International Development, Department of State, Washington, D. C. 20523. Energy Research and Dvelopment Administration. Supports research in the mathematical and com­ puter sciences at universities and other institutions. Submit proposals to the Division of Physical Research, Energy Research and Development Administration, Washington, D. C. 20545.

E. R. Hedrick Assistant Professorships in Mathematics. Department of Mathematics, University of California, Los Angeles, will make two appointments for the year 1976-1977. These awards will be made to mathematicians with Ph. D. 1s who show strong promise in research. The appointment will be for two years at an annual salary of $16,300, plus a summer research supplement of $2,500. The teaching load will be three hours per week for two quarters and six hours per week for one quar­ ter. One course may be an advanced course in the candidate's research area. Requests for applica­ tion fonns should be sent to the Chainnan, Department of Mathematics, University of California, 405 Hilgard Avenue, Los Angeles, California 90024. The deadline for applications is January 15, 1976. UCLA is an Equal Opportunity Employer. Feltman Research Laboratory. Dover, New Jersey. Postdoctoral and Senior Postdoctoral Research Associateships, open to U, S. citizens only. Awards made in several fields, including mathematics. Annual stipend for these appointments if $15,000 for the recent recipient of the doctorate with an ad­ justment made for the senior candidate. More details regarding this program and application materi­ als may be obtained from the Associateship Office, JH 606, National Research Council, 2101 Consti­ tution Avenue N. W., Washington, D. C. 20418. Deadline for submission of applications is January 15, 1976. Inquiries cannot be processed after January 10, 1976. G. C. Evans Instructorships at Rice University. For promising mathematicians with the doctorage. Appointments are for two or three years at an appropriate salary. Rice is an equal opportunity employer. Inquiries and applications should be addressed to Professor Salomon Bochner, Chairman, Department of Mathematics, Rice University, Houston, Texas 77001.

The Hebrew University of Jerusalem. Postdoctoral Fellowships. Fellowships in the fields of mathe­ matics and computer science. Provides tax-free salary about 24,000 Israeli pounds per annum, with possible adjustments to cost of living, and usually allows for round-trip passage. The applicant is required to submit his application (in letter form) together with a detailed curriculum vitae, a list of publications, and two letters of recommendation from persons well acquainted with the applicant's academic and research records. Fellowships are intended for persons who will complete all require­ ments for the Ph. D. before the autumn of 1976. Application letters and letters of recommendation should be sent to the Dean, Faculty of Science, The Hebrew University of Jerusalem, Jerusalem, Israel. Deadline is December 1, 1975. Later applications would be considered if there are still vacancies left,

443 IBM Thomas J. Watson Research Center. Postdoctoral Fellowships. These fellowships provide sci­ entists of outstanding ability, at the beginning of their careers, an opportunity to pursue and broaden their scholarship while in residence at the Research Center. A candidate will be expected to have not more than five years professional experience between receipt of a doctorate and commencement of the fellowship. The duration of each fellowship will be eleven months. Generally the stipend will be in the range of $19, 000-$23, 000, depending on qualifications. Completed applications should be received by January 15, 1976. At most two fellowships will be awarded. Notification will be made by March 15,1976. Write to Director, Mathematical Sciences Department, IBM Thomas J. Watson Research Center, P.O. Box 218, Yorktown Heights, New York 10598. Institute for Advanced Study Memberships. The School of Mathematics will grant a limited number of memberships, some with financial support, for research in mathematics at the Institute during the academic year 1976-1977. Candidates must have given evidence of ability in research comparable at least with that expected for the Ph. D. degree. Application blanks may be obtained from the Adminis­ trative Office of the School of Mathematics, Institute for Advanced Study, Princeton, New Jersey 08540, and should be returned (whether or not funds are expected from some other source) by Janu­ ary 15, 1976. J. Willard Gibbs Instructorships. Offered by Yale University to men and women with the doctorate who show definite promise in research in pure mathematics. Applications from members of minority groups are welcome. Appointments are for two years at a salary of $14, 000 for the academic year. Each recipient of a Gibbs Instructorship will be given an allowance of up to $250 toward the actual expense of moving household possessions to the New Haven area. The teaching load is kept light so as to allow ample time for research. If desired, part of the teaching duties may consist of a one-semester course at the graduate level in the general area of the instructor's re­ search. Inquiries and applications should be addressed to the Chairman, Department of Mathematics, Yale University, Box 2155 Yale station, New Haven, Connecticut 06520. Preference will be given to applications received before February 1976. Jacob David Tamarkin Instructorships. Offered by Brown University to promising mathemati­ cians. Appointments are for three years, with a salary of $11,000 for the academic year. Additional summer support can be arranged. Teaching load is usually light and consists of courses of more than routine interest. An applicant should have completed his doctorate by the time his appointment is to begin. In addition to a letter expressing his interest in a Tamarkin Instructorship, the applicant should have three letters of recommendation submitted for him to the Department of Mathematics by January 15, 1976. Women and members of minority groups are encouraged to apply. Applicants should write to the Chairman, Department of Mathematics, Brown University, Providence, Rhode Island 02912. John Simon Guggenheim Memorial Foundation Fellowships. Applicant should be at least 30 years of age (exceptions are made) and engaged in scientific research. No academic degree is re­ quired, but the fellowships are on the advanced postdoctoral level. U.S. citizenship or permanent residence is required. Fellowships are also offered to citizens or permanent residents of all coun­ tries and territories of the Western Hemisphere and of the Philippines. Nominations are made by the Committee of Selection. Approximately 300 awards are made, averaging approximately $13,000 in 1975. For more information write to President, John Simon Guggenheim Memorial Foundation, 90 Park Avenue, New York, New York 10016. John Wesley Young Research Instructorships. Two instructorships are normally awarded by Dart­ mouth College each year. Teaching duties average six hours per week and are of a varied and non­ routine nature. The academic-year stipend of $12,000 is supplemented by a summer research fel­ lowship of $2,000. Appointments are for two years and are not renewable. Applicants should write to Richard H. Crowell, Chairman, Department of Mathematics, Dartmouth College, Hanover, New Hampshire 03755 (Attention: RECRUITING). Langley Research Center. Limited number of visiting appointments are available for both junior­ and senior-level researchers at the Institute for Computer Applications in Science and Engineering (ICASE) which is operated by Universities Space Research Association. ICASE serves as a center for interaction between Langley staff and the academic community in the areas of applied and numeri­ cal mathematics, applied computer science, and development of mathematical models in a variety of application areas. Applications for partial support while on sabbatical leave are encouraged, as are applications from Ph. D.'s for two-year appointments. Inquiries should be addressed to Dr. James M. Ortega, Director, ICASE, Mailstop 132C, NASA-Langley Research Center, Hampton, Virginia 23365. Lawrence Berkeley Laboratory. Limited number of postdoctoral research appointments. Topics of special interest include: Numerical solution of partial differential equations, energy systems, en­ vironmental and economic modeling; computational physics (design of CTR devices and magnetic sys­ tems); techniques for analysis and computer graphics display of multidimensional data; critical path methods, and mathematical programming (linear, integer and dynamic). Inquiries should be directed to Dr. James A. Baker, Mathematics and Computing Group, Lawrence Berkeley Laboratory, Build­ ing 50B, Room 3238, University of California, Berkeley, California 94720.

444 Lawrence Livermore Laboratory. Postdoctoral research appointments and graduate research assis­ tantships. Areas of special interest include development of computer systems, computer graphics, numerical analysis, and programming science, as well as basic research in the fields of hydrodyna­ mics, astrophysics, environmental science, neutronics, plasma physics, and research into new sources of energy. U.S. citizenship required. Inquiries should be directed to Dr. S. Fernbach, Computation Department, Lawrence Livermore Laboratory, University of California, Livermore, California 94550. Los Alamos Scientific Laboratory, Offered to U.S. citizens holding the Ph.D., with research oppor­ tunities in computer science, numerical science, and applied mathematics. A limited number of postdoctoral appointments are available for one year, subject to renewal for a second year. Los Ala­ mos Scientific Laboratory is an equal opportunity employer. Write to Recruiting Department, Los Alamos Scientific Laboratory, University of California, P. 0. Box 1663, Los Alamos, New Mexico 87544. Los Alamos Scientific Laboratory. J. Robert Oppenheimer Research Fellowships. Candidates must be recipients of a doctorate in the physical sciences, natural sciences, mathematics or engineering. One to three year appointments; annual salary is $22,500. For additional information write toR. Lynn Wilson, Recruiting Supervisor, Division C, Los Alamos Scientific Laboratory, P.O. Box 1663, Los Alamos, New Mexico 87545. L. E. Dickson Instructorships in Mathematics. Intended for men or women completing the doctorate in Mathematics during 1976-1977. Appointment is for two years with an annual salary of $14, 750; instruction averaging four hours a week; supplementary summer salary can usually be arranged. Further information may be obtained from the University of Chicago, Department of Mathematics, Chicago, illinois 60637. Mathematics Research Center. A limited number of visiting research appointments at all levels from postdoctoral up, in areas of applicable or applied mathematics interpreted in a broad sense, but including analysis, numerical analysis and computing, probability and statistics, and operations research. The postdoctoral appointments offer Ph.D. •s working in areas of applicable mathe­ matics an opportunity to broaden their contact with applications. The University of Wisconsin is an equal employment opportunity institution (Title IX/Title VI). For information, write Professor Ben Noble, Director, Mathematics Research Center, University of Wisconsin-Madison, Madison, Wis­ consin 53706, National Aeronautics and Space Administration. Postdoctoral and Senior Postdoctoral Resident Re­ search Associateships. Open to individuals at the postdoctoral level who have the Ph. D., Sc. D. de­ gree, or its training equivalent, or who have completed the requirements for one of these degrees. Open to U.S. citizens and to foreign nationals. Tenable at Ames Research Center, Moffett Field, California; Goddard Space Flight Center, Greenbelt, Maryland; Goddard Institute for Space Studies, New York City, Jet Propulsion Laboratory, Pasadena, California; Langley Research Center, Hamp­ ton, Virginia; Lewis Research Center, Cleveland, Ohio; Johnson Space Center, Houston, Texas; Marshall Space Flight Center, Huntsville, Alabama; and Wallops Flight Center, Wallops Island, Vir­ ginia. Forms are available from the Associateship Office, JH 606, National Research Council, 2101 ~onstitution Avenue N. W., Washington, D. C. 20418. Annual stipend begins at $15,000. Senior sti­ pend variable. Deadlines for receipt of completed applications in 1976 are January 15, May 15, September 15, with announcement of awards in March, July, and November. National Aeronautics and Space Administration. Research Grants. Through grants and contracts to educational and nonprofit institutions and indUstries, NASA sponsors research in fundamental and applied mathematics related to space science and engineering problems. Unsolicited proposals should be submitted to the Office of University Affairs, Code PY, National Aeronautics and Space Adminis­ tration, Washington, D. C. 20546. National Bureau of standards. Postdoctoral Research Associateships, open to U.S. citizens only. Awards are made in several fields, including mathematics. Tenable in the Gaithersburg, Maryland area and Boulder, Colorado. Annual stipend for these appointments is not less than $15,000. More details regarding this program may be obtained from the Associateship Office, JH 606, National Re­ search Council, 2101 Constitution Avenue N. W., Washington, D. c. 20418. Deadline for submission of applications is January 15, 1976. No materials will be distributed after January 5, 1976. National Research Council. Research Associateships Programs. These programs afford qualified scientists and engineers opportunities for postdoctoral research on problems of their own choice in a variety of scientific disciplines and fields of specialization. The programs are conducted on behalf of and in cooperation with certain Federal organizations with laboratories at more than eighty geographic locations in the United States, Applications for these competitive awards will be received by the National Research Council until January 15, 1976. Appointments will be made in April for tenure to begin on or before July 1, 1976. stipends, which are subject to income tax, will vary according to the type of appointment, but will not be less than $15,000. Further information and application materials can be obtained from the Associateship Office, JH 606, National Research Council, 2101 Constitution Avenue N. W., Washington, D. C. 20418.

445 National Science Foundation. Research and Travel Grants. Proposals are accepted at any time, but in order to insure full consideration, proposals requesting support which is to begin prior to Septem­ ber 1, 1976, should be in the hands of the Foundation six months prior to the desired starting date of such support, but not later than November 1, 1975. Instructions for the preparation of proposals, contained in a booklet entitled "Grants for Scientific Research", may be obtained upon request from the Mathematical Sciences Section, National Science Foundation, Washington, D. C. 20550. National Science Foundation. Approximately 100 fellowships for postdoctoral research and study on energy-related scientific problems. Open to U. S. citizens or nationals with doctorates in science. The $12, 000 stipend provides for study and research at any appropriate U.S. or foreign in­ stitution. Deadline for filing applications is December 8, 1975. Applications may be obtained by writing the Fellowship Office, National Research Council, 2101 Constitution Avenue N. W., Washing­ ton, D. C. 20418. National Science Foundation. Economic Development Program. Specially funded by the Agency for International Development, the program will provide support for qualified U.S. scientists and engi­ neers to apply their experience to specific problems of development in 41 countries. Stipends of up to $1,500 per month awarded with research/teaching grants. International travel grants also avail­ able. Limited to U.S. scientists and engineers with at least five years of postdoctoral or equivalent experience in teaching or research and who will return to their institutions on completion of the project. Proposals must be submitted before December 15, 1975. Awards will be announced during April1976. For more information, write to the Office of International Programs, National Science Foundation, Washington, D. C. 20550. National Science Foundation Faculty Fellowships. For teachers of science, mathematics and engineer­ ing at universities, colleges, and junior and community colleges. Approximately 80 fellowships will be awarded to faculty members who have had five or more years of full-time teaching experience, who are citizens or nationals of the United states, and who hold at least a baccalaureate. Competition will be divided into three categories: applicants with a doctorate, applicants without doctorates who teach at four-year institutions and applicants without doctorates who teach at two-year institutions. The Faculty Fellowships may be used for period of three to nine months. Travel allowances are also paid. In addition, NSF will provide the fellowship institution with an allowance to assist the institu­ tion in meeting tuition and other costs. Application materials can be obtained from the Faculty Fel­ lowship in Science Program, Division of Higher Education in Science, National Science Foundation, Washington, D. C. 20550. Naval Research Laboratory, Postdoctoral Research Associateships, open to U.S. citizens only. Awards are made in several fields, including mathematics. Annual stipend for these appointments is $15,000. Applications must be postmarked not later than January 15, 1976. More details regarding this program may be obtained from the Associateship Office, JH 606, National Research Council, 2101 Constitution Avenue N. W., Washington, D. C. 20418. Naval Surface Weapons Center. Postdoctoral Research Associateships, open to U.S. citizens only. Awards are made in several fields, including mathematics. Tenable in Silver Spring, Maryland. Annual stipend for these appointments is not less than $15,000. More details regarding this program may be obtained from the Associateship Office, JH 606, National Research Council, 2101 Constitution Avenue N. W., Washington, D. C. 20418. Deadline for submission of applications is January 15, 1976. No application material will be distributed after January 10, 1976. Sandia Laboratories. The Sandia Laboratories operated by Western Electric under contract with the U.S. Energy Research and Development Administration (ERDA) offer research opportunities in nu­ merical mathematics, applied mathematics and mathematical systems analysis. Areas of special interest are numerical treatment of differential equations, special functions, statistics and applied combinatorics. A limited number of postdoctoral appointments are available for one year, renewable for a second year. There are also occasional openings for university faculty appointments in the summer. Interested U.S. citizens should apply to Dr. Gustavus J. Simmons, Manager; Applied Mathematics Department- 5120; Sandia Laboratories, Albuquerque, New Mexico 87115. Smithsonian Institution. Postdoctoral Fellowships. Appointments to individuals possessing the Ph. D. or equivalent degree, generally limited to those having received the degree within five years of com­ mencing tenure at the Smithsonian and in all cases limited to individuals requiring research training in association with a member of the Institution's professional staff. Offered annually in the history of mathematics, usually for a period of twelve months, but never for less than six months. $10,000 stipend, plus research expense allowance. Deadline for application is January 15th yearly for the fol­ lowing academic year. Further information and application forms may be obtained from the Office of Academic Studies, Smithsonian, Washington, D. c. 20560. State University of New York at Buffalo. The Department of Mathematics intends to award George William Hill and Emmy Noether Research Instructorships to young mathematicians who are recent Ph. D.'s, thereby enabling them to carry forward a research program. All requirements for the Ph.D. must be completed by September 1, 1976. We intend to award one Research Instructorship in Applied Mathematics and one in Pure Mathematics for 1976-1978 with each appointment being for two years. The twelve-month stipend, beginning September 1976, is $16,200 including generous staff benefits. Teaching load will total two one-semester courses during the twelve-month period.

446 Upon expiration of the two-year appointment, priority consideration for a two-year appointment as assistant professor will be given and will be based upon success and potential in both research and teaching. Each applicant should prepare a summary of his or her post-high school educational back­ ground, as well as a sketch of past and projected research activity, and should request at least three mathematicians to send letters of recommendation. Application forms are available upon request. No one holding academic rank at SUNY at Buffalo is eligible to apply. Applications and supporting letters should be sent to the Chairman, Department of Mathematics, SUNY at Buffalo, 4246 Ridge Lea Road, Amherst, New York 14226, so as to arrive by January 20, 1976. Appointments are expected to be made shortly thereafter. SUNY at Buffalo is an Equal Opportunity/Affirmative Action Employer. T. H. Hildebrandt Research Assistant Professorships. Designed to provide mathematicians with favorable circumstances for the development of their research talents. Preference given to those having their Ph. D. less than two years. At least one appointment is expected to be available for the coming academic year. Teaching load averages one and one-half courses per semester; part of teaching load consists of an advanced course. stipend at least $12, 500 for academic year 1976- 1977 with good possibility of additional income during the summer. Appointment is for two years and implies consideration for regular faculty appointment thereafter. Applicants should submit com­ pleted application form and request at least three letters of recommendation. Letters should contain comments on applicant's mathematical promise, teaching ability, and personality. First preference will be given to applications completed, and supported by three or more letters, prior to January 15. Appointments will be announced early in February. Applications should be made to Professor J. G. Wendel, Associate Chairman, Department of Mathematics, The University of Michigan, Ann Arbor, Michigan 48104. Affirmative Action Employer. U. S. Army Natick Laboratories. Postdoctoral and Senior Postdoctoral Visiting Scientists Research Associateships. Awards made in several fields, including mathematics. Tenable in Natick, Massa­ chusetts. Annual stipends for these appointments begin at $15,000. Senior stipend variable. More details regarding this program may be obtained from the Associateship Office, JH 606, National Research Council, 2101 Constitution Avenue N. W., Washington, D. C. 20418. Deadline for receipt of completed applications in 1976 is January 15, with announcement of awards in April. U. S. Army Research Office. The primary mission of the U.S. Army Research Office is the support of unclassified basic research in the mathematical, physical, engineering, environmental, and life sciences in the United States. Proposals for support are made by individual scientists or groups of scientists through their institutions or business offices. Support is given primarily through contracts or grants at educational institutions, research institutes, and industrial laboratories. For further information write to the Commanding Officer, U. S. Army Research Office, Box 12211, Research Triangle Park, North Carolina 27709. U. S. Department of Health, Education, and Welfare, National Institutes for Health. Supports postdoc­ toral fellows. Research in specified health and health related areas, especially as related to health and disease. Applicant must have earned an appropriate degree and shown that his goal is a research career in the health related sciences. U.S. citizenship or lawful admittance to the U.S. for permanent residence is required. Announcements and application kits available from Office of Grants Inquiries, Division of Research Grants, National Institutes of Health, Bethesda, Maryland 20014. An enclosed self-addressed gummed mailing label will expedite handling. Vaclav Hlavaty Research Assistant Professorships. Offered by the Department of Mathematics at Indiana University to mathematicians with doctorates who show definite promise in research. The appointment is for three years with an academic-year salary of at least $13,000. The teaching duties during the first academic year will involve three hours per week and during the next two aca­ demic years will involve six hours per week. The salary may be supplemented by either teaching or research contracts during the summer months. There will also be an amount of $400 available for professional expenses, such as travel to meetings, supplies, publication costs, etc. Inquiries or requests for application forms should be addressed to Professor Maynard Thompson, Chairman, De­ partment of Mathematics, Swain Hall East, Indiana University, Bloomington, Indiana 47401. Prefer­ ence will be given to applications received before January 31, 1976. Affirmative action employer. Travel and Study Abroad Alexander Von Humboldt Foundation. Research Fellowships. Provides postdoctoral scholars with the opportunity of carrying out a research project at a German university or research institute. Scholars of all nationalities and disciplines may apply. Selection is based exclusively on academic merit. Applicants must have completed their academic studies and have evidence of a degree equiva­ lent to the German doctorate, and have adequate knowledge of German, especially for research in the humanities. Applications may be obtained from and returned directly to the Alexander Von Humboldt Foundation, Schillerstrasse 12, D-5300 Bonn-Bad Godesberg, Federal Republic of Germany. Alliance Franyaise deN ew York. For French and American students, a limited number of scholarships for graduate study in the U. S. and in France. Fields unrestricted. Scholarships are in the amount of $1, 300 to $2, 000. Applicants must have a working knowledge of English. For further information, write to

447 Commission Franco-Americaine d•Exchanges Universitaires et Culturels, 9, rue Chardin, Paris 75016, France, for French students; Institute of International Education, 809 United Nations Plaza, Department of Information and Study Abroad, New York, New York 10017 for American students. American Association of University Women. International Fellowships. Approximately 50 awards made to women of other countries for advanced study, except that awards are not made in the crea­ tive or performing arts. An applicant must hold the equivalent of a bachelor's degree, be proficient in English and intend to return to her own countr-y. Forms may be obtained from the University Women's Association or Federation in the applicant's country or the Cultural Affairs Officer of the U.s. Embassy. (U. S. address, Educational Foundation Programs Office, AAUW Educational Founda­ tion, 2401 Virginia Avenue N. W., Washington, D. C. 20037.) Application deadline is November 1975 for subsequent academic year. American-Scandinavian Foundation. Graduate fellowships to be used in Scandinavia. Applicants must be U. S. citizens who have completed their college education. Completed application deadline is December 1 (November 1 for Marshall Fellowships for Denmark). Write to the Exchange Divi­ sion, The American-Scandinavian Foundation, 127 East 73rd street, New York, New York 10021.

Fulbright-Hays Program. Grants for study abroad. For graduate study or research in any field in which the project can be profitably undertaken abroad. Applicant must be a U. S. citizen and have language proficiency sufficient to carry out the proposed study and to communicate with the host country. If an applicant is already enrolled in a U.S. university, he must apply directly to the Ful­ bright Program Advisor on his campus. Unenrolled students may apply to the Institute of Interna­ tional Education. Further details may be obtained from the Information Services, Institute of Inter­ national Education, 809 United Nations Plaza, New York, New York 10017. Fulbright-Hays Program. Postdoctoral Awards. United states Government grants available annually in all fields for university lecturing and postdoctoral research abroad. Eligibility requirements in­ clude U.s. citizenship; for lecturing, college teaching experience; for research, a doctoral degree or recognized professional standing at the time of application. In certain cases a knowledge of the lan­ guage of the host country is required. Grants are generally tenable for one academic year in one designated country and include round-trip transportation for the grantee, maintenance allowance to cover living expenses of grantee and family, and a small incidental allowance to cover supplies and services essential to the project. Subject to the availability of funds, a supplemental dollar grant for lecturers in most non-European countries may be given. Write to Council for International Exchange of Scholars, Senior Fulbright-Hays Program, 11 Dupont Circle, Washington, D. C. 20036. Graduate and Post-graduate Exchange with Poland. Open to American and Polish citizens at least 21 years of age. American candidates must have at least a master's degree and a knowledge of the Po­ lish language. Polish candidates must have at least their master's degree and preferably their doc­ torate, plus sufficient knowledge of the English language. Polish citizenship is required for study in the United states; U. S. citizenship is required for study in Poland. Apply by January 15 for the fol­ lowing academic year. Write to Kosciuszko Foundation, 15 East 65th Street, New York, New York 10021. Italian National Research Council Fellowships for Foreign Citizens. The Italian National Research Council announces fifteen fellowships (maximum period one year) for foreign mathematicians. The gross stipend is 280.000 Italian Lire per month, plus travel expenses to and from the country of residence. Prospective applicants may write for details to: Alessandro Figa-Talamanca, C. N. R., via Santa Marta 13A, 50139 FntENZE, Italy. In their letter they should include information concern­ ing their curriculum, their research program, the names of the Italian mathematicians they would like to work with. They may also include a reference letter or have it sent directly. Latin American Teaching Fellowships. Applications for teaching positions in Latin American uni­ versities are now being accepted from natural and physical scientists and engineers with advanced degrees, or who are Ph.D. candidates. Mathematicians and computer scientists conversant in Span­ ish are especially encouraged to apply. These teaching fellowships are part of a service program designed to assist Latin American universities to develop more advanced technical and scientific pro­ grams. Salaries are thus geared to a moderate level rather than being competitive with North Ameri­ can salaries. A knowledge of Spanish is required for placement. Inquiries should be addressed to Director of Academic Affairs, Latin American Teaching Fellowships, Fletcher School of Law and Diplomacy, Tufts University, Medford, Massachusetts 02155. Marshall Scholarships. Offered by the British Government to U.s. graduates; tenable at any univer­ sity in the United Kingdom. Recipients of awards are required to take a degree at their British uni­ versity. Fields unrestricted. Apply through British Consulates-General in the following regions (1) Northeast: Suite 4740 Prudential Tower, Prudential Center, Boston, Massachusetts 02199; (2) Mideast: 12 South 12th street, Philadelphia, Pennsylvania 19107; (3) South: Suite 912, 225 Peachtree street N. W., Atlanta, Georgia 30303; (4) Midwest: 33 North Dearborn street, Chicago, niinois 60602; (5) Pacific: 9th Floor, 120 Montgomery Street, San Francisco, California 94104.

448 National Academy of Sciences. For U.S. scientists who wish to make visits beginning during the period September 1976 through August 1977 in the USSR, Bulgaria, Czechoslovakia, Hungary, Poland, Romania or Yugoslavia. Visits of five to twelve months' duration are encouraged; a limited number of openings for one-month visits is also available, Requirements are U.S. citizenship and a Ph. D. or its equivalent in the mathematical sciences. All necessary expenses will be met by the NAB and the foreign academy; salary reimbursement up to a predetermined maximum and paid expenses for family on visits of five months or more. For further information, write to the Commission on International Relations, USSR/EE, 2101 Constitution Avenue, Washington, D. C. 20418, North Atlantic Treaty Organization. The NATO Science Committee makes a number of awards each year for training and education in fields in the systems science area. (1) Graduate Degree Apprentice­ ship in Systems Science. To enable young scientists to pursue graduate programmes leading to ad­ vanced degrees in fields in the systems science area (Systems Analysis, Operational Research, Management Science, Management Engineering, Systems Engineering, etc.) and also to obtain prac­ tical training in places where they will be exposed to real life problems. A normal grant is for three years, subject to satisfactory progress in each year, and is applicable to participating universities and institutions. Applicants should have first degree level of university education with very high scholastic achievement and a sound basic training in mathematics relevant to the systems field. The award is a yearly stipend to cover living expenses, tuition and other expenses, but not to exceed B.fr. 200,000 per year. (2) Study Visits. This programme is designed for scientists of NATO coun­ tries to make short visits to scientists and/or institutions in other NATO countries, with the objective of receiving expert advice in connection with a research project and a well-defined problem in the systems science area. (3) Visiting Experts. This programme is designed to help developing or newly formed systems science groups in NATO countries, which are active in fields in the systems science area and are in need of receiving advice or assistance from an expert in another country. It is ap­ plicable in cases where visiting scientists can make a substantial contribution to the work of the or­ ganization being visited, Application forms and further details of these awards together with infor­ mation about the Science Committee's other programmes in the systems science area can be obtained from: Scientific Affairs Division, NATO, 1110 Brussels, Belgium. North Atlantic Treaty Organization. Postdoctoral Fellowships. Awarded for nine- or twelve-month periods, for scientific study or work at appropriate nonprofit institutions in NATO countries, other than the U.S,, or countries that cooperate with NATO. This program, for citizens or nationals of the U.S., is designed primarily for individuals who have received their doctorates within the past five years. Fellows receive a stipend of $10,800 for twelve-month tenure, plus a dependency and travel allowance. Application deadline is November 10, 1975. For information and application mate­ rial, write to Fellowship Section, Division of Higher Education in Science, National Science Founda­ tion, Washington, D. C. 20550, North Atlantic Treaty Organization. Senior Fellowships in Science. Enable universities and non­ profit research institutions in the U.S. to send senior staff members to study new scientific tech­ niques and developments at research and educational institutions in other NATO nations, or in coun­ tries cooperating with NATO, for tenures of one to three months. An institution may nominate an in­ dividual who has full professional standing in his field; at least five years' experience in research, teaching or other relevant professional work; and appropriate linguistic abilities. Work undertaken should offer direct benefits to the nominating institution. A per diem allowance and one round-trip jet economy air fare are provided. Application materials are available from September through November from the Division of Higher Education in Science, National Science Foundation, Washington, D. C. 20550. Deadline for receipt of applications is November 15. Rotary Foundation. Graduate Fellowships and Undergraduate Scholarships. One academic year of study abroad for the 1977-1978 year is available to outstanding young men and women who are in­ terested in world affairs and who can fulfill a dual role of scholar and "ambassador of good will". Graduate fellowships and undergraduate scholarships cover full transportation, education, living, and miscellaneous expenses for one academic year, plus, in certain cases, a period of intensive language training in the study country prior to the commencement of the regular academic year. Awards are made for study in any field and are tenable in more than 149 countries in which there are Rotary Clubs. An applicant for a graduate fellowships must have obtained a bachelor's degree or equivalent prior to the beginning of his fellowship year. An applicant for an undergraduate scholarship must have completed two years of university level work but not have obtained a bachelor's degree prior to the beginning of his scholarship year. Application must be made through the Rotary Club nearest to the applicant's permanent residence not later than March 15, 1976. Royal Norwegian Council for Scientific and Industrial Research. Postdoctorate Fellowships. Fields: engineering and applied sciences. Studies can be carried out at the Universities of Oslo and Bergen, the Technical University of Norway, and at different institutes for applied research in Oslo, Bergen, and Trondheim. English may be used at all institutes; German and French at some institutes. Deadline each year is January 1. Write to Royal Norwegian Council for Scientific and Industrial Research, Gaustadelleen 30, Oslo, Norway. William and Mildred Zelosky Scholarships. Open to American and Polish men at least 21 years of age. American candidates must have at least a master's degree and a knowledge of the Polish language. Polish candidates must have at least their master's degree and preferably their doctorate, plus suf-

449 ficient knowledge of the English language. Polish citizenship is required for study in the United States; u.s. citizenship is required for study in Poland. Apply by January 15 for the following academic year. Write to Kosciuszko Foundation, 15 East 65th Street, New York, New York 10021 Study in the U.S. for Foreign Nationals Alliance Fran9aise de New York. For French students, a limited number of scholarships for graduate study in the U.S. Fields unrestricted. Scholarships are in the amount of $2, 000. Applicants must have a working knowledge of English. For further information, write to Chairman of Scholarships Committee, French Institute/Alliance Fran9aise, 22 East 60th street, New York, New York 10022 or Commission Franco-Americaine d•Echanges Universitaires et CUlturels, 9, rue Chardin, Paris 16ieme, France. Fulbright-Hays Program. Grants under the Fulbright-Hays Act for study, research, teaching and lecturing in the United States are available to nationals of many countries. Information regarding these opportunities may be secured from the Cultural Affairs Officer of the United states Embassy or from the binational Educational Commission or Foundation if there is one in the inquirer's own coun­ try. (U.S. address: Information Services, Institute of International Education, 809 United Nations Plaza, New York, New York 10017.) The number of grants for each academic year will depend on funds available. Sources of Fellowship Information American Philosophical Society. Fellowship and grant opportunities of interest to philosophers. American Philosophical Society, 104 South Fifth street, Philadelphia, Pennsylvania 19106. American Council of Learned Societies. A limited number of specialized research grants for post­ doctoral research on the Soviet Union and Eastern Europe and grants for study of East European languages for advanced graduate students and postdoctoral faculty members are offered. Write to the American Council of Learned Societies, 345 East 46th street, New York, New York 10017. Annual Register of Grant Support 1974-1975. Academic Media, Marquis Who's Who, Inc., Chicago, nlinois 60611. Comprehensive directory of fellowships, grant support programs of government agencies, foundations, and business and professional organizations. (The 1975-1976 Edition was scheduled for publication at the end of October.) Available in Reference Room of good library. Council on International Educational Exchange. Opportunities for travel and study abroad for under­ graduate and graduate students, including language programs at Leningrad State University. Write to the Council on International Educational Exchange, 777 United Nations Plaza, New York, New York 10017. Fellowships and Grants. Social Science Research Council, 605 Third Avenue, New York, New York 10016. Describes the programs of fellowships and grants offered by the Council and by the foreign area committees that it sponsors jointly with the American Council of Learned Societies. Fellowship and Research Opportunities in the Mathematical Sciences 1975-1976. 44 pages. Available free from the Math Office, National Research Council, Washington, D. C. 20418. Lists fellowships, grants and other kinds of research support available to mathematicians from all known sources. Lists U.s. Ph. D. granting departments in the mathematical sciences. Grants for Graduate Study Abroad. Institute of International Education, 809 United Nations Plaza, New York, New York 10017. List of fellowships and scholarships administered by the liE for U.S. citizens. National Endowment for the Humanities. The Endowment operates through four programs. Information about the Endowment's fellowship programs that may be of particular interest may be obtained from Dr. James H. Blessing, Division of Fellowships and Stipends, National Endowment for the Humanities, 806 15th street N. W., Washington, D. C. 20506. S. Norman Feingold Scholarships, Fellowships, and Loans. Volume V, 1972: $17.00. Bellman Pub­ lishing Company, P. 0. Box 164, Arlington, Massachusetts 02174. Detailed list of financial aid sources. Volume V has a new and improved index that greatly facilitates finding awards. Scholarships, Fellowships and Loans News Service. The staff, Bellman Publishing Company, P.O. Box 164, Arlington, Massachusetts 02174, published quarterly, $22.00 per year. Up-to-date infor­ mation regarding student financial aid. Annotated bibliography of books and professional journals. Selected List of Major Fellowship Opportunities and Aids to Advanced Education for Foreign Nationals. Fellowship Office, National Research Council, 2101 Constitution Avenue N. W., Washington, D. C. 20418. Contains a list of financial aid sources plus a bibliography listing other sources of financial aid information. Selected List of Major Fellowship Opportunities and Aids to Advanced Education for United states Citizens. Fellowship Office, National Research Council, 2101 Constitution Avenue N. W., Washington, D. C. 20418. Contains a list of fellowships available on the undergraduate, graduate, and postdoctoral levels plus a bibliography giving other sources of information on fellowships, scholarships, and loans. Study Abroad. Write UNESCO, UNIPUB, 650 First Avenue, (P.O. Box 433, Murray Hill Station), New York, New York 10016. 450 TAX STATUS OF GRANTS

Under Section 117 of the Internal Revenue Service Code, assistantships, fellowships, and grants meeting certain conditions are excludable from gross income and therefore not subject to the Federal Income Tax. It should be empha­ sized that the claim for exclusion is made by the individual taxpayer, not by the institution supplying the funds. The Internal Revenue Service has given the following interpretation of Section 117.

"Section 117 (a) of the Internal Revenue Code of 1954 permits an individual to exclude from his gross income amounts received as a scholarship or fellowship grant, Whether the amounts received are in fact a scholarship or fel­ lowship grant, i.e,, are paid for the primary purpose of furthering the recipient's education and training, is a conclu­ sion by the Internal Revenue Service on the basis of the facts in a particular case,

"Section 117(b)(l)oftheCodeprcvidesthatin the case of individuals who are candidates for a degree the exclusion from gross income shall not apply to that portion of any amount received as payment for teaching, research, or other services in the nature of part-time employment required as a condition to receiving the scholarship or fellowship grant, However, if teaching, research, or other equivalent services are required of all candidates for a particular degree as a condition to receiving the degree, such teaching, research, or other services shall not be regarded as part-time em­ ployment,

"In situations where research is required of all degree candidates, !mt only those students who engage in teaching receive stipends, the Service would conclude that the stipend was not excludable under Section 117(a) of the Code, but was paid for services rendered in the nature of part-time employment.

"If research and teaching services are required of all degree candidates and such research and services are per­ formed for the primary purpose of furthering the students• education and training, the Service would conclude that sti­ pends paid for the research and teaching services, required of all degree candidates, are excludable from the recipients• gross income under Section 117 (a) of the Code. However, amounts paid to a degree candidate for teaching services not strictly required as a condition to receiving the degree for which the recipient is a candidate, at the time he performs the service, represents compensation for services rendered which is includable in the recipients• gross income."

A new ruling, No. 75-280, issued July 21, 1975, supersedes ruling No. 63-250. The purpose of the new ruling is to clariJY conditions under which payments to a degree candidate from a university for research or teaching services are excludable from gross income, The following requirements are necessary: (1) the recipient must be a degree candi­ date; (2) all services performed must satisfy the requirements for a degree; (3) the requirements must be appropriate to the degree; (4) the services performed are not in excess of these requirements; and (5) equivalent services are re­ quired of every candidate.

The basis for the new ruling involves a case concerning a graduate student working toward a Ph. D. degree who was paid by a university for services performed under a contract with the Atomic Energy Commission. The student's research work satisfied the requirements previously mentioned. The Internal Revenue Service, therefore, assumed that amounts paid to the graduate student were primarily to further the individual's education and training, The rule would apply to individuals in similar situations provided all requirements are satified.

Instead of paying one stipend to those students who are actually being paid for services on a part-time basis and who might request a partial exclusion for the time spent on degree requirements, it is possible for a university to make two awards to such students. One award would be computed on a straight salary basis for the time the student worked, and the student would then report his salary to the Internal Revenue Service in the usual way, A second award would be considered a fellowship, on which the student might request total exclusion.

The Department of the Treasury publishes a ten-page pamphlet entitled "Tax Information for American Scholars in the U, S, and Abroad," Publication 520 (10-71). This pamphlet is available at most Internal Revenue offices, and J:ulk orders may be obtained from the Superintendent of Documents, U, s. Government Printing Office, Washington, D.C. 20402, for $0.15 a copy; larger quantities are $11.25 per one hundred copies,

The above statement includes some revision to clarify the statements pub­ lished under this heading in previous December issues of the cNotiJzD.

To help expedite the processing of returns, two forms are given on the following page showing the types of information which should be provided by the graduate school for the Internal Revenue Service to help determine the validity of the claimed tax ex­ clusion.

451 .·.~

Factual statement to support individual application for total exclusion of stipend from gross income

TO WHOM IT MAY CONCERN:

During the calendar year 19__ ------;:==-::;;-:;==r------served as a Research Assistant in (name of student) the Department of'------'at ---,,-,--,..,----r.--.,------from'--_____:to ___ • (university or college) He was paid a stipend of $._____ for his services, The funds were derived from 7(dre-s""'c--r""ip""t..,io__ n...... ,.o"'"f-:gr=an-:t"'/r:c-:on""t""r""'ac=t),.--· At the same time, he was a candidate for the degree of-----· The research which he performed under this ar- rangement met, in part, the requirements for this degree. Equivalent research is required of all students working for this same degree at. __====::-:==n-:=-r----· (university or college) regardless of whether or not they are compensated for their services,

Factual statement to support individual application for partial exclusion from Federal Income Tax

TO WHOM IT MAY CONCERN:

During the calendar year 19 __ ----""(n""'a--m"'"e.,....,o""f-:s:ztu::-d:re--n""t"") ______.served as a ---..,(p-o-s""'i""ti'""o-n""') ___ in the Department of'------'at.___ ====,..-,::-:-:;;=~-- from._____ t.o ____ (university or college) He was paid a stipend of $____ _ The funds were derived from'---,====::-===rr===r------· (description of grant/contract) At the same time he was a candidate for the degree of----- During this period the candidate spent approximately (a), ______"ercent of his working time__ -;::===;-:;:==.------'' which is not required for the degree, (assigned duties) and (b) _____yercent of his time on degree requirements. The research or study which he performed under

(b) met in part the requirements for his degree, Equivalent research is required for all students working for this same degree at ----,=====...... ,.==:-:-----• regardless of whether or not they are compensated for their services, (university or college)

452 INDEX OF ABSTRACTS Volume 22 (1975) ABADIE, Jean. Large scale nonlinear optimization prob- ALEXANDERSON, G. L. See HOGGATT, V. E., Jr. lema arising in power production, A-743. ALFORD, William A., HAVAS, George and NEWMAN, ABDELAZIZ, Nazar. Bessel functionals and solutions of M. F. Groups of exponent four, A-301. hyperbolic differential equations in Hilbert space, A-350. ALI, Mir M. See LANOUE, T. J. ABDEL-HAMEED, Mohamed and PROSCHAN, F. Total ALIPRANTIS, C. D. On Nakano's theorem and the com- positivity properties of generating functions, A-19. pleteness oflocally solid Riesz spaces, A-173. ABDELKADER, Mostafa A. Circular and hyperbolic func- ALLAIRE, Frank. Reducible configurations for the Four tiona satisfying f(x) = f(p- x), A-313. Color Conjecture. Preliminary report, A-42. ABE, Kinetsu. Almost contact structures on Brieskorn ALLEN, G. D. A generalization of a theorem of Cramer, manifolds and complex structures on their products, A-324, A-242. ABE, Kinstsu and ERBACHER, Joseph. Some examples of ALLEN, George. Variational ineqnalities, complementar- non-regular contact structures on Brieskorn manifolds, ity problems, and duality theorems, A-642. A-22; Contact structures on the generalized Brieskorn ALLEN, Richard J, Equivariant embeddings of Zp-actions manifold, A-473. in Euclidean spaces, A-684. ABIAN, Alexander. Direct product decomposition of al- ALLISON, Bruce N. Lie algebras of type BC1, A-97. ternative rings without nilpotent elements, A-446; The co- AL-MOAJIL, Abdullah H. The commutants of relatively efficients of the Laurent expansion of analytic functions, prime powers of elements in operator algebras, A-567. A-633. ALO, Richard. See De KORVIN, Andre. ACZEL, J. and BENZ, W. On the harmonic product and a ALPERIN, Jonathan L, Finite groups viewed locally,A-668. resulting functional equation, A-564. ALPERT, Louis I. See TORALBALLA, L. V. ADAMS, David R. Bessel potentials and Bcchner-Riesz ALPERT, Seth R. Current maps and nonorientable graph summation operators, A-401. imbeddings, A-532. ADAMS, M. E. and KELLY, David. Chain conditions in AL-SALAM, Waleed A. and ISMAIL, M. E. H. Polynomials free products of lattices, A-673; Disjointness conditions in orthogonal with respect to discrete convolution, A-311. the free products of lattices, A-674. ALTMAN, M. Contractor directions and directional con- ADAMSON, Alan. Admissible sets and saturation of models. tractions for solving equations, A-337. Preliminary report, A-714. ANCEL, Fredric D. and McMILLAN, Daniel R., Jr. Com- ADENIRAN, Tinuoye M. Absolute homology (monotone) plementary 1-ULC properties for 3-spheres in s4, A-654. union property for X, with coefficient Z. Preliminary re- ANDERSON, Bill and ZUBER, Kenny. Convergence of port, A-588. generalized power series. Preliminary report, A-157. ADLER, Roy L. Ergodic properties of elementary map- ANDERSON, Bruce A. Sequencings and starters, A-620. pings of the unit interval, A-555. ANDERSON, Claude W. A new ~(n) in the Waring prob- ADOMIAN, G. Nonlinear stochastic systems. Preliminary lem. Preliminary report, A-4. report, A-666. ANDERSON, D.D. Minimally generated prime ideals. ADU, David I. Connected eM-homomorphisms into semi- Preliminary report, A-445. groups of hereditarily locally connected continua. Prelim!- ANDERSON, Donald W. Fibrations and geometric reali- nary report, A-719. zations, A-227 . .AGGARWAL, Vijay B. Hierarchy of group-free automata ANDERSON, Gerald. Klein manifolds, A-16. under series-parallel decomposition, A-470. ANDERSON, James A. Tensor product of commutative AGGARWAL, Vijay B. and MULLER, David E. Remarks semigroups, A-101, on algebraic decomposition of permutation automata, A-320. ANDERSON, Joel. Which sets are numerical ranges? AGRONSKY, steve. Some analogues of the Lusin-Menchoff A-573. theorem and applications. Preliminary report, A-114. ANDRUSHKIW, R.I. Inclusion theorems for the eigenvalues AHMAD, Shair and LAZER, Alan C. Some positivity results of a quadratic operator pencil, A-595. for second order systems, A-404. ANNULIS, John. Order arguments on the dimension of AHMED, H. S. See NAOUM, A. G. vector lattices, A-175. AHMED, N. U. On the existence of optimal control for APPLESON, Katherine J. A theorem on ordered free systems governed by Ito stochastic differential and func- groups. Preliminary report, A-720. tional equations, A-257. APPLING, William D. L. An integrability and measurabil- AHNER, John. The exterior Robin problem for the Helm- ity decomposition theorem, A-313; Logarithmic and in- holtz equation, A-728. tegration-by-parts operators, A-456, AKEMANN, Charles A. The spectrum of a derivation of a ARAD, Zvi. A classification theorem for CCT groups. C*-algebra, A-567. Preliminary report, A-705. AKST, George and DENCE, Thomas P. Linear projection ARENSTORF, R.F. Some recent developments in celes- operators on standard threads, A-103. tial mechanics, A-340. ALAS, 0. T. Three theorems on sigma-m-expandable ARKIN, Joseph. A nonregular Latin 3-cube solution of spaces. Preliminary report, A-27; On compact-expandable Euler's 6 X 6 Officers Problem, A-537. spaces. Preliminary report, A-717. ARKIN, Joseph and SMITH, Paul. Trebly-magic systems ALBERTSON, Michael 0. and HUTCHINSON, Joan P. The in a Latin 3-cube of order eight, A-347. maximum size of an independent set in a graph, A-39; The ARKIN, Joseph, HOGGATT, Verner E., Jr. and STRAUS, independence ration of a toroidal graph, A-45; Noncon- Ernst G. Systems of magic Latin k-cubes, A-38. tractible cycles in non-planar graphs. Preliminary report, ARMSTRONG, Alan. Multipliers on compact groups with A-533. unconditionally converging Fourier series. Preliminary ALBIS-GONZALES, Victor. Maximal abelian extensions report, A-170. viewed as Kummer extensions, A-69. ARMSTRONG, Robert, McGEHEE, Richard and ZICA- AL-DAFFA•, Ali. Thabit ibn Qurra, A-531. RELLI, John. Some mathematical aspects of the ecological ALDER, Henry L. See IDCKERSON, Dean R. principle of competitive exclusion. Preliminary report, ALEX, Leo J. and MORROW, Dean C. Index four simple A-263. groups, A-660. ARMSTRONG, Thomas. See READE, Maxwell 0. ALEXANDER, Ralph. Metric averaging in t2. Preliminary ARNOLD, Jimmy and GILMER, Robert. Krull dimension report, A-577. of commutative semigroup rings. Preliminary report, ALEXANDER, S. and PORTNOY, E. Hypersurface immer- A-302. sions between hyperbolic spaces. Preliminary report, A-580.

A-755 ARNOLD, Jimmy T. and SHELDON, Philip B. Integral BANAUGH, Robert P. See VOTRUBA, George F. domains which satisfy Gauss's Lemma, A-78. BANCHOFF, T. F. and STRAUSS, C. M. Cusps of simpli­ ARONSON, D. G. stability for nonlinear parabolic equa­ cial mappings to the plane (with computer graphics analy­ tions via the maximum principle, A-355. sis), A-201. ARTZY, R. Coordinates for Minkowski planes, A-574. BANCROFT, stephen. A note on the Jordan canonical ASENJO, F. G. The topology of multiple location, A-666. form,A-83. ASH, C. J. and NERODE, A. Functorial properties of BANG, S. Y. and YEH, R. T. Relational algebra and its algebraic closure and Skolemization. Preliminary report, applications to data representation and structuring. Pre­ A-325. liminary report, A-728. ASlMOV, Daniel. Flaccidity of geometric index for vector BANILOWER, H. Isomorphisms and simultaneous exten­ fields, A-652. sions in C(S). Preliminary report, A-18. ASNER, Bernard A., Jr. Representation of the solution of BANKS, H. T. and BURNS, J.A. A note on linear heredi­ a delay-differential equation. Preliminary report, A-156. tary systems in LP-spaces. Preliminary report, A-156. ATALLA, Robert E. Ergodic theory and Grothendieck BANKSTON, Paul. Clopen sets in hyperspaces. Prelimi­ spaces, A-355. nary report, A-331; Ultraproducts in topology. Prelimi­ ATKIN, A. 0. L. Supersingular games, A-399. nary report, A-392; Baire category and uniform bounded­ AULL, Charles E. Initial topologies, k-spaces and acces­ ness for topological ultraproducts. Preliminary report, sibility spaces, A-207; The separation axioms of Van Est A-480; Ultraproducts in general topology. Preliminary and Freudenthal, A-584. report, A-587; Ultracoproducts: Compactifying the topo­ AULT, Janet E. Simple inverse semigroups whose logical ultraproduct, A-656. .9?'-classes are w-semigroups, A-100. BARBACK, Joseph. On the intersection of regressive sets, AUTH, Joseph. Symbolic transformation groups are point A-341. transitive. Preliminary report, A-530. BARBASCH, Dan. Fourier transforms of orbital integrals, AZENCOTT, Robert and WILSON, Edward N. Homoge­ A-686. neous manifolds with negative curvature, A-591. BAR!, Ruth A. Chromatic polynomials and Whitney's AZIZ, A.K. See LEVENTHAL, Stephen. broken circuits. Preliminary report, A-532. BAARTMANS, Alphonse H. and WOEPPEL, James J. BARKER, G. P. See SINGH, S.K. The automorphism group of a p-group of maximal class BARKER, William H. The spherical Bochner theorem on with an abelian maximal subgroup, A-104. semi-simple Lie groups, A-170. BACHELIS, Gregory. A factorization theorem for compact BARNARD, Roger W. On the radius of starlikeness of operators, A-355, (zf)' for f univalent. Preliminary report, A-119. BACON, Philip. Continuous functors, A-28; Finite dimen­ BARNES, Bruce A. The similarity problem for represen­ sional shape theory, A-333. tations of a B*-algebra, ,A-427. BAERSTEIN, Albert II. The * function for subharmonic BARNES, Bruce H. See MACKEY, Karen E. functions in n-space, A-413. BARNES, John and LOMAX, Ron. Two-dimensional simu­ BAGBY, Richard J. Lipschitz spaces and Fourier trans­ lation of semiconductor devices using finite element forms on Lorentz spaces, A-402. methods, A-595. BAGLA, K. L. See RATHY, R. K. BARNETTE, David. From convex polytopes to manifolds, BAILDON, John D. See SILVERMAN, Ruth. A-488. BAILLIEUL, John. Some optimal control problems on Lie BAROUCH, Eytan and KAUFMAN, Gordon M. Estimation groups. Preliminary report, A-418. of undiscovered oil and gas, A-743. BAKER, Crump. Representation of C*-algebras. Prelim­ BARTH, K. F., BONAR, D. D. and CARROLL, F. W. inary report, A-187. Zeros of strongly annular functions, A-122. BAKER, John A. On the functional equation f(x)g(y) = BASENER, Richard F. Nonlinear Cauchy-Riemann equa­ p(x + y)q(x/y), A-565. tions. Preliminary report, A-465. BAKKE, V. L. Boundary arcs for integral equations, A-198. BASS, Charles D. Piercing connected sets with tame arcs, BALARAM, M. Heat generated by MHD Couette flow with A-530. porous walls, A-249. BATEMAN, Paul T. Zeros of Fekete polynomials. Pre­ BALAS, Egon. A linear characterization of permutation liminary report, A-68. vectors, A-521. BATTERSON, Steve. Dynamical analysis of real Grass­ BALAS, Egon and JEROSLOW, Robert G. strengthening mann transformations. Preliminary report, c\-685. cuts for mixed integer programs, A-321. BAUMGARTNER, James E. Topological properties of BALAS, Egon and ZEMEL, Eitan. Facets of the knapsack Specker types. Preliminary report, A-219. polytope from minimal covers, A-322. BAUMGARTNER, James E., TAYLOR, Alan D. and BALASUBRAHMANYAM, P. and LAKSHMINARASlMHAN, WAGON, stanley. Splitting large cardinals into stationary T.V. On some classes of functions analytic in the unit disc. sets. Preliminary report, A-665. Preliminary report, A-712. BAUR, Walter. Undecidability of the theory of abelian BALBES, R. and HORN, A. Projective covers of distribu- groups with a subgroup. Preliminary report, A-324. tive lattices, A-672. y v , BAXLEY, John V. On singularly perturbed Initial value BALCAR, Bohuslav. SeevSTYE~ANEK, Petr. problems. Preliminary report, A-141. BALCAR, Bohuslav and STEPANEK, Petr. Invariant ele­ BAYLISS, Alvin and ISAACSON, Eugene. How to make ments and embedding of Boolean algebras. Preliminary re­ your algorithm conservative. Preliminary report, A-594. port, A-523. BAZIN, M. J. See SAUNDERS, P. T. BALDWIN, John and ROSE, Bruce. stability, N0-categori­ BEARD, Jacob T. B., Jr. Perfect splitting polynomials, city and finiteness conditions in rings, A-32. A-722. BALDWIN, John T. Some EC~ classes of rings, A-682. BEARD, Jacob T. B., Jr. and McCONNEL, Robert M. BALES, John W. [email protected] spaces and strongly locally Rings containing division rings or fields, A-71; Matrix homogeneous spaces, A-477; Representable spaces and fields over the integers modulo m , A-71. strongly N-homogeneous spaces, A-703. BECK, Jon M. Homology of group completions. Prelimi­ BALL, Eugene s. a-weak normality and related properties. nary report, A-589. Preliminary report, A-222. BECK, Robert E. and KOLMAN, Bernard. Algebraic ap­ BALL, Joseph A. Canonical models for contraction opera­ proach to homogeneous matrix differential equations, tors with unitary part. Preliminary report, A-188. A-134. BALL, Joseph and LUBIN, Arthur. Contractive perturba­ BECK, Walter. See NAJAR, Rudolph. tions of restricted shifts, A-188. BECKENSTEIN, Edward, NARICI, Lawrence, SUFFEL, BALL, Richard. Ideals of the lattice ordered group or or­ Charles and WARNER, Seth. Maximal ideals in algebras der-preserving permutation of the long line. Preliminary of continuous functions, A-223; Subspaces of codimension report, A-540. 1 in rings of continuous functions. Preliminary report, BALLANTINE, c.s. Conjunctivity and the numerical range, A-313. A-546. BEDNAREK, A.R. and ULAM, S.M. Projective algebras BALLEW, David and WEGER, Ronald. Triangular solutions and the calculus of relations. Preliminary report, A-729. to the Pythagorean equation. Preliminary report, A-441.

A-756 BEEM, John K. Pseudo-Riemannian manifolds with totally necessarily minimal regular, A-215, geodesic bisectors, A-205. BEYL, F. Rudolf. Abelian groups with a vanishing BEEM, R. Paul. Almost free z2k actions, A-526; Exten­ homology group. Preliminary report, A-451. sions and reductions of equivariant bordism, A-591. BHARUCHA-REID, A. T. See CHRISTENSEN, Mark J, BEER, Gerald. starshaped sets and the Hausdorff metric, ---. See GILL, Tepper. A-202. BHASKARAN, M. On the genus field of a Galois exten­ BEERS, Brian and MIT..LMAN, Richard, Spectra of the sion, A-302; On the genus field of a Galois extension-IT. Laplace-Beltrami operator on compact semisimple Lie Preliminary report, A-439; Normal fields with finite groups, A-419. class field towers. Preliminary report, A-623. BEHRENS, Elizabeth D. Indicability in products of groups. BICHTELER, Klaus. A special class of function metrics. Preliminary report, A-442. Preliminary report, A-177. BEIDLEMAN, James C. On Fitting classes, A-100; On BING, R. H. and STARBIRD, Michael. Linear isotopies, normalFittingclasses. Preliminary report, A-670. A-201; Linear isotopies, A-575. BEINEKE, L. W. and FIORINI, S. On the chromatic index BIRKENMEIER, Gary F. A decomposition of rings. Pre­ of small graphs, A-44. liminary report, A-87. BELDING, W. R. Bases for the positive cone of a partially BIRMAN, Joan S., GONZALEZ-ACUNA, Francisco J. ordered module. Preliminary report, A-538, and MONTESINOS, J. M. Heegaard splittings of prime BELL, Murray G. Not all compact Hausdorff spaces are 3-manifolds are not unique, A-424. supercompact. Preliminary report, A-652. BLACKMORE, Denis. On the index sum of a vector field. BELL, Wayne Charles. Some normability conditions for Preliminary report, A-360; structural stability = axiom H#W• A-315; An absolutely continuity condition for finitely A+ strong transversality, Preliminary report, A-685. additive set functions, A-464, BLACKWELL, Robert 0. Cocompleteness in a 2-cate­ BELLENOT, Steven F. On nonstandard hulls of convex gory of algebras, A-308. spaces, A-179; Compact operators into Hilbert space. Pre­ BLAIR, C •. E. and JEROSLOW, R. G. The value function liminary report, A-569. of MIP:I, A-640; The value function of MIP:II, A-713. BELLMAN,Richard. A result on stability. Preliminary BLAIR, Charles E. Solutions to mixed-integer problems, report, A-519. A-320; Minimal inequalities for mixed-integer problems, BENILAN, Ph., BREZIS, H. and CRANDALL, M.G. A A-470. semilinear elliptic equation in L1(IRN). Preliminary re­ BLAKE, Louis H. A smoothing index and equiconver­ port, A-416. gence of martingales, A-239, BENKART, Georgia. On inner ideals and ad-nilpotent ele­ BLAKEMORE, Carroll F. See BERRI, Manuel P. ments of Lie algebras, A-96. BLAKESLEE, JohnS, See LOGAN, J. David. BENNETT, Colin. Extensions of the Hausdorff-Young BLASS, A.R. and STANOJEVIC, C. V. Partial Mielnik theorem, A-166. spaces and uniformly convex spaces, A-309. BENNETT, G., GOODMAN, V. and NEWMAN, C. Random BLASS, Andreas. Two algebraic equivalents of the axiom matric"s and absolutely summing operators, A-384. of choice, Preliminary report, A-524. BENNETT, Grahame. Freshman products of inifinite BLEICHER, M.N. and ERDOS, P. Recent developments matrices, A-315. on Egyptian fractions. Preliminary report, A-676. BENNETT, Harold R. and MARTIN, Harold W. Metrizabil­ BLOCK, Louis. An example where topological entropy is ity of M-spaces, II. Preliminary report, A-332. continuous, A-686, BENNETT, Mary Kathrine. Axioms for metric affine BLOCK, Richard E. Irreducible representations of Lie geometry, A-560; Lattices of convex sets. Preliminary re­ algebras, A-94. port, A-669, BLOOM, Clifford 0. An algebraic rate of decay of local BENNETT, Paul. See SPRINGSTEEL, Fred, energy of solutions of hyperbolic systems on exterior BENNISON, Victor. Recursively enumerable complexity regions. Preliminary report, A-150. sequences, Part I. ~reliminary report, A-643, BLOOM, Frederick. Continuous data dependence for a BENZ, W. See ACZEL, J. class of Volterra equations in Hilbert space, A-678. BENZINGER, Harold E. Biorthogonal systems equivalent BLOWERS, James V. Constrained optimization of non­ to Fourier series, A-164, linear functions without derivatives. Preliminary report, BERG, Gene A. An enumeration problem in finite geome­ A-247. tries. Preliminary report, A-46. BOARDMAN, J. M. Localization theory and splittings of BERGLUND, John. LMC and LUC semigroups of operators. MU. Preliminary report, A-589. Preliminary report, A-178. BOAZ, V.L. See LANOUE, T.J. BERGMAN, stefan, Bounds for distortion in pseudoconfor­ BOBBITT, John I. The asymptotic expansion near a focus mal mapping. Preliminary report, A-13, A-362, for almost plane waves. Preliminary report, A-250. BERKEY, Dennis D. Block diagonal dominance and reduci­ BOGDANOWICZ, W.M. and McCLOSKEY, J.P. A rela­ bility for linear differential systems, A-139, tion of measurability with respect to a sigma-ring V to BERKOWITZ, H. W. The consecutive retrieval property, measurability with respect to the smallest sigma-algebra A-597. extending V, A-117; A characterization of measurability BERKSON, Earl and PORTA, Horacio, One-parameter with respect to the smallest sigma-algebra extending a groups of isometries on Hardy spaces of the torus, A-571, sigma-ring V by means of measurability with respect to BERKSON, Earl, FLEMING, Richard and JAMISON, James. a sigma-algebra in which V forms an ideal, A-464. Hermitian operators and groups of isometries on some BOLAND, W. Robert and POWERS, Morris W. A numeri­ Bana.ch spaces, A-572. cal technique for obtaining approximations to the solution BERMAN, Abraham and NEUMANN, Michael. Proper split­ of certain functional equations arising in the theory of tings of rectangular matrices, A-306; Consistency and epidemics. Preliminary report, A-340. splittings, A-639. BOLLOBAS, Bela. Extremal problems in graph theory. BERMAN, Joel, BURGER, Alan J. and KOHLER, Peter. Preliminary report, A-51. The free distributive lattice on seven generators, A-622. BONAR, D. D. See BARTH, K.F. BERMAN, stephen. Some results and open questions con­ BONAR, D. D., CARROLL, F.W. and PIRANIAN, George, cerning Lie algebras defined by Cartan matrices, A-93. Strongly annular functions with small Taylor coefficients. BERNARD, Alain, GARNETT, John B. and MARSHALL, Preliminary report, A-123. Donald E. The algebra generated by inner functions, A-736. BONAR, D. D., CARROLL, F. W. and COLWELL, Peter. BERNAU, S.J. and LACEY, H. Elton. Complex Banach Tsuji T2 functions form a residual set. Preliminary re­ lattices with order continuous norm, A-176. port, A-455, BERNDT, Bruce C. G. H. Hardy and Dedekind sums, A-543. BOOK, stephen A. and TRUAX, Donald R. An Erdt!s­ BERNHART, Frank R. How not to prove the four color con­ Renyi strong law for sample quantiles, A-739. jecture, A-38. BOOLOS, George. Friedman's 35th problem has an af­ BERNHART, Frank and TUTTE, W. T, Flattening equa­ firmative solution, A-646. tions in the theory of chromatic polynomials. Preliminary BOONE, James R. On the cardinality relationships be­ report, A-534. tween discrete collections and open covers, A-26. BERRI, Manuel P. and BLAKEMORE, Carroll F. The BOOS, William. Compactness and indescribab!lity below regular continuous image of a minimal regular space is not the continuum. Preliminary report, A-474.

A-757 BOOTHBY, William M. On the determination of control­ BULMAN-FLEMING, S. Equational compactness in quasi­ lability of bilinear systems. Preliminary report, A-419. primal varieties, A-448; Some classes of equationally BORGES, Carlos R. Direct sums of stratifiable spaces, compact semilattices. Preliminary report, A-449. A-653; Weak unions of absolute retracts, A-716. BULMAN-FLEMING, Sydney and FLEISCHER, Isidore. BOROSH, I. and TREYBIG, L. B. Bounds on positive so­ Equational compactness in semilattices with an additional lutions of linear diophantine equations, A-61, unary operation. Preliminary report, A-613. BOTTORFF, Gerald A. On the Littlewood conjecture, A-67. BUMBY, RichardT. Dimensions of sets of continued frac­ BOULDIN, Richard. Approximating the shift with Toeplitz tions, A-449; structure of the Markoff spectrum. Prelimi­ operators, A-194. nary report, A-669. BOWNDS, J.M. and CUSHING, J.M. On the behavior of BUMILLER, Carl. Partial geometries and rank three solutions of predator-prey equations with hereditary terms. groups, A-9. Preliminary report, A-20. BUONCRISTIANl, A.M. Generalized octorians and quarks, BOWNDS, John M. and WOOD, Bruce, On numerically A-728. solving nonlinear Volterra integral equations with fewer BUONI, John J. A fractional mapping theorem for essen­ computations, A-322. tial spectra, A-573. BOYCE, William E. See LAX, Melvin D. BUONI, John J. and FAIRES, J.D. Spectral properties of BRADLEY, J.S. and EVERITT, W.N. Singular integra­ products of operators, A-511. differential inequalities. Preliminary report, A-141. BURCH, B. C. A semigroup treatment of the Hamilton­ BRADY, A. H. The solution to Rado•s "Busy Beaver Game" Jacobi equation. Preliminary report, A-385. is now decided for k = 4. Preliminary report, A-25. BURGER, Alan J. See BERMAN, Joel. BRADY, Gary. The lattice structure of the set of (E,/3E)­ BURGESS, John P. A Ramsey theorem. Preliminary re­ compactifications, A-217. port, A-391. BRAGG, Louis R. The Riemann-Liouville integral and BURGMEIER, James W. and PRATHER, Ronald E. Poly­ parameter shifting in a class of linear abstract Cauchy nomial calculus with D-like operators, A-81. problems. Preliminary report, A-143. BURGOYNE, N., GRIESS, R. L., Jr. and LYONS, R. BRAGG, Louis R. and DETTMAN, John W. Analogous func­ Field automorphisms and maximal subgroups of finite tion theories in the theory of heat conduction and singular Chevalley groups. Preliminary report, A-381. Cauchy problems. Preliminary report, A-142. BURKE, D. K. and HODEL, R. E. On the number of com­ BRAITHWAITE, Edwin. A converse to Fatou•s general pact subsets of a topological space, A-528. theorem. Preliminary report, A-128. BURKE, Dennis K. On point-countable separating open BRANNIGAN, Michael. H-sets, an approach to linear covers in Moore spaces. Preliminary report, A-334i On Tchebycheff approximation, A-159. countably-compactifications. Preliminary report, A-656; BRECHNER, Beverly L. Almost periodic homeomorphisms G0 diagonals and separating open covers, A-731. of E2 are periodic, A-206. BURKHOLDER, D. L. Martingale methods in analysis, BREEN, Marilyn. See KAY, David C. A-187. BRENNER,J. L. and CARLITZ, L. Covering theorems for BURKINSHAW, Owen. Weak compact subsets of a Riesz finite nonabelian simple groups, III. Solutions of the equa­ space. Preliminary report, A-317. tion ax2 + !3t2 + ·n-2 = a in a finite field, A-505. BURNS, J,A. See BANKS, H. T. BRENNER, J. L. and WIEGOLD, James. Two-generator BURNS, John T. Curvature structures on Lorentz 2-mani­ groups I, A-453. folds. Preliminary report, A-739. BRESINSh.'Y, H. Numerical symmetric semigroups BURR, Stefan A. On detecting a periodic event by means (n1, n2, n3, n4). Preliminary report, A-306. of period observations. I, A-65. BREWER, J., RUTTER, E. and WATKINS, J. Power BURRELL, Benjamin A. The mountain-climbing problem series rings over absolutely flat rings. Preliminary report, on the closed 2-cell. Preliminary report, A-588. A-723. BURRIS, S. Boolean powers: some first-order aspects. BREWSTER, Ben. The formation generated by a ~-free Preliminary report, A-327; Congruence lattices of sub­ group, A-109. direct products. Preliminary report, A-379; Boolean BREZIS, H. See BENILAN, Ph. powers: Some algebraic aspects. Preliminary report, BRIZOLIS, D. A local version of the nullstellensatz in rings A-439. of integer-valued polynomials, A-73. BURRIS, S. and JEFFERS, E. On the simplicity and sub­ BROCKETT, Roger W. The geometry of the space of re­ direct irreducibility of Boolean ultrapowers, A-391. duced rational functions. Preliminary report, A-417. BURRIS, Stanley and WERNER, Heinrich. Decidable BROMBERG, Neil. Boundary layer analysis of equations of theories, A-475. Brownian motion in a force field, A-593. BUSHARD, Louis B. Comparison and uniqueness results BROUSSARD, L. M. A wild 3-sphere in s4 and a crumpled for a class of quasilinear elliptic partial differential equa­ 4-cell whose identity sewing yields s4, A-657 tions. Preliminary report, A-143. BROVERMAN, Samuel. The structure of continuous {o, 1)­ BUSTOZ, Joaquin. A sum of Jacobi polynomials, A-131. valued functions on a products space. Preliminary report, BUTLER, Kim Ki-Hang. New regular subsemigroup of A-29; The topological extension of a product. Preliminary semigroup of binary relations. Preliminary report, A-8; report, A-332; Homomorphisms between lattices of zero On the van der Waerden permanent conjecture, A-620. sets. Preliminary report, A-479. BUTLER, Kim Ki-Hang and MARYLAND, Wallace. Enu­ BROWN, Ezra. Diophantine equations of the form x2 + D = meration of regular topologies, A-336. ~ yP. II, A-60. BUTLER, Kim Ki-Hang and SCHWARZ, Stefan. Circulant BROWN, Jack B. On the Baire order of concentrated spaces binary relations, A-720. and L1 spaces, A-344. BUTTON, Robert W. ~-filters and Y-filters, A-24; BROWN, Patrick M., GILBERT, Robert P. and HSIAO, ~-filters and Y-filters, A-34; A note on the Q-topology, George C. Constructive function theoretic methods for A-333; When do* continuous extensions exist?, A-393. fourth order pseudoparabolic and meta-parabolic equations BUTZ, Jeffrey R. Unitary parts of Hankel contractions, in two space variables, A-144. A-189. BROWN, Robert F. and HALES, Alfred W. Exact complete­ BUXTON, M. and STUBBLEFIELD, B. On odd perfect ness of compact Lie groups, A-667. numbers. Preliminary report, A-543. BROWN, Terrence J. A rank equality for matroids, A-50. BYNUM, W. L. Weak parallelogram laws for Banach BRUALDI, Richard A. and GIBSON, Peter M. The convex spaces. Preliminary report, A-175. polyhedron of doubly stochastic matrices: I. Applications of BYRD, Kenneth A. and VAUGHAN, Theresa P. Orthogonal the permanent functions, A-348. and unitary circulants. Preliminary report, A-547. BRUCKNER, Andrew M., CEDER, Jack G. and ROSEN­ BYRD, Richard D. and LLOYD, Justin T. Extensions of FELD, Melvin. On invariant sets, A-486. group retractions. Preliminary report, A-538. BUCKHOLTZ, James D. Strong convergence and polynomial BYRNE, Charles. On the compactness of bitopological expansions of analytic functions, A-726. spaces. Preliminary report, A-330. BUCKLEY, Joseph. Automorphism groups of isoclinic CAHN, Robert S. and WOLF, Joseph A. The asymptotic p-groups, A-101. expansion of the zeta-function of compact symmetric BUELL, Duncan A. Class groups of quadratic fields, A-454. spaces of rank one, A-204.

A-758 CAIN, B. E., SAUNDERS, B.D. and SCHNEIDER, H. On A-149; Liapunov methods and parabolic equations, A-350. the geometry of dual pairs, A-82, CHAK, A, M. Some generalizations of Laguerre polyno­ CAINE, Bruce R. A characterization of some equationally mials-ill, A-566. complete varieties of quasigroups, A-298; Finite equa­ CHAKRAVARTY, S. Tbe set where a transcendental entire tionally complete quasigroups, A-723. function is large, A-10; An extremal entire function, A-124. CALABI, Eugenio. On manifolds with nonnegative Ricci CHAN, Agnes Hui and RAY-CHAUDHURI, D.K. Charac­ curvature. n, A-205. terization of linegraph of an affine space, A-661, CALABRESE, Philip G. The probability that p implies q. CHANDRA, Kailash. See RATHY, R. K. Preliminary report, A-430. CHANEY, R. W. A hybrid algorithm for nonlinear pro­ CALDER, Allan. Cech cohomology of Stone-Cech compacti­ gramming problems, A-430. fications, A-528, CHANG, Derek Kong. Distribution of prime numbers. Pre­ CALDER6N, A.P. and TORCHINSKY, A. Interpolation liminary report, A-452. between HP spaces, the complex method. Preliminary CHANG, I-Lok. Zeros of an annular function. Preliminary report, A-166; Parabolic HP spaces, A-402. report, A-126, CALLAHAN, Francis P. Skew symmetric biderivations of CHANG, Sun-Yung. On the structure and characterization a two-generator purely inseparable field, A-348; Morley of piecewise continuous functions, A-183; C *-algebras polygons, A-665 contained in subalgebras between L00 and ~ , A-737. CALLAHAN, Thomas, NEWMAN, Morris and SHEINGORN, CHAO, Jia-Arng. A characterization of HP-spaces on a Mark. Fields with maximal Kronecker constant, A-70. local field. Preliminary report, A-170. CAMPBELL, Douglas M. Tbe limiting bshavior of CHARTRAND, Gary. See HARARY, Frank. zf''(z)/f'(z) and two conjectures on univalent :{unctions. CHARTRAND, Gary and POLIMENI, Albert D. Ramsey Preliminary report, A-120. theory and chromatic numbers, A-37. CAMPBELL, Douglas M. and PEARCE, Kent. An exten­ CHASE, S. U, Inseparable Galois descent. Preliminary re­ sion of the Brazilevic functions, Preliminary report, A-428. port, A-397. CAMPBELL, S,L., MEYER, C.D,, Jr. and ROSE, N.J. CHATTERJEE, A,K., RAY, S.C. andDEBNATH, L. Mul­ Applications of the Drazin inverse to linear systems of tiple boundary layers in oscillatory convective flows in a differential equations, A-132. rotating system, A-728. CANNON, J, W. Cell-like decompositions of manifolds CHAWLA, L.M. and TORRANCE, Ellen. Three restricted arising from mismatched sewings: Applications to 4-mani­ product-sum partition functions. Preliminary report, A-7; folds, A-481; Taming codimension - one generalized sub­ More additive arithmetic functions inversely associated manifolds of sn, A-591. with partition functions. Preliminary report, A-57. CANNON, John R. and EWING, Richard E. A direct nu­ CHAWLA, M. M, and RAMAKRISHNAN, T. R. Numerical merical procedure for the Cauchy problem for the heat evaluation of Cauchy principal value integrals, A-20. equation. Preliminary report, A-245. CHEATHAM, Tom. Regular modules, A-83. CAPOCELLI, Renato M. A necessary and sufficient condi­ CHEN, Bang-Yen. Chern classes and Bochner curvature tion for decodabUity, A-714. tensor, A-577. CARGO, G. T. Blaschke products with prescribed boundary CHEN, C.S. and POHL, W. F. On classification of tight values, A-557. surfaces in R4, Preliminary report, A-579. CARLITZ, L. See BRENNER, J.L. CHEN, Etang. Existence of interacting Markov processes CARLSON, B.C. Quadratic transformations of Appell func­ in quantum lattice systems, A-592. tions, A-131, CHEN, Kilo-Tsai. Iterated path integrals, A-426. CARPENTER, Gail A. Traveling wave solutions of nerve CHEN, Nan-Hung. Global dimension under change of ring. impulse equations, A-19; Periodic solutions of the Hodgkin­ Preliminary report, A-446. Huxley equations of nerve impulse transmission, A-472. CHENEY, E.W. See RNLIN, T.J, CARPENTER, Ronn. Interpolating bases in C[0,1] are not CHENG, Charles Ching-An. Finite partially ordered sets Besselian, A-173. of cohomological dimension one. Preliminary report, CARRELL, James B. and LIEBERMAN, David I. Chern A-98. classes of the Grassmannians, A-738. CHENG, Sui-Sun. Systems conjugate and focal points of CARRIG, James E. Global dimension of symmetric alge­ fourth order nonselfadjoint differential equations, A-402. bras. Preliminary report, A-508. CHERNOFF, Herman. Identifying a member of a large CARROLL, F. W. Tbe difference property for Frechet­ population using noisy data. Preliminary report, A-358, space-valued functions, A-562. CHEWNING, William C. Null controllability for parabolic ---. See BARTH, K. F. non-linear equations, A-257. ---. See BONAR, D. D. CHI, G. Y. H. The Radon-Nikodym theorem in locally con­ CARROLL, F. W,, EUSTICE, Dan and FIGIEL, T. Tbe vex spaces, Preliminary report, A-116. minimum modulus of polynomials with restricted coeffi­ CHIDAMBARASWAMY, J. Generalized Dedekind's ~/!-func­ cients, A-121. tions with respect to a polvnomial, A-66. CARROLL, Michael P. An algorithm for L1 approximation CHILDS, Andrew Gary. L'2-boundedness of pseudo-dif­ using near best approximates, Preliminary report, A-159, ferential operators. Preliminary report, A-429. CARROLL, Robert. Eisenstein integrals and singular CHILDS, L. N. , GARFINKEL, G. S. and ORZECH, M. Caucby problems, A-147, Factoriality of normal noetherian domains and the Brauer CASAZZA, P., LIN, B. L. and LOHMAN, B. On James' group, A-8. space. Preliminary report, A-339. CHILDS, Lindsay N. Abelian Galois extensions as modules CATTANEO, Giulia Maria Piacentini. See HENTZEL, Ir­ over the group ring. Preliminary report, A-399, vin Roy, CHILLAG, David. On a class of doubly transitive permuta­ CAVIOR, Stephan R. An uppbr bound associated with errors tion groups of degree pq + 1, p and q primes. Prelimi­ in Gray code, A-600. nary report, A-615. CECIL, Thomas E. Taut immersions of non-compact sur­ CHIPMAN, J.C. Presentations for proper fundamental faces into R3, A-203, grcups, Preliminary report, A-227. CEDER, Jack G. See BRUCKNER, Andrew M. CHOODNOVSKY, G. V. Algebraic independence of constants CELIK, Hasan A. Semi-prime antiflexible rings, A-95, connected with the functions of analysis. Preliminary re­ CERIN, Zvonko T. Cellular approximations in the topology port, A-486, of manifolds, A-29, CHOU, Ching. Minimal sets, discrete orbits in fJN\N. CESAR!, Lamberto and KANNAN, Rangachari. Periodic so­ Preliminary report, A-634, lutions in the large of nonlinear ordinary differential equa­ CHOUDHURY, A. K. Tbe minimal set of pointwise degen­ tions, A-415. eracy of linear time-invariant delay-differential systems CESARI, Lamberto and SURYANARAYANA, M. B. Existence of the neutral type, A-679. theorems for Pareto optimization problems, A-663, CHOW, Pao-Liu. Integration of stochastic partial differen­ CHADAM, J. and GLASSEY, R. New estimates for the tial equations, A-235. global solution of the Maxwell-Dirac and Klein-Gordon­ CHOW, Shui-Nee. Averaging and bifurcation from equili­ Dirac equations, Preliminary report, A-712. brium or periodic solutions, A-351. CHAFEE, Nathaniel. Saddle point behavior for a nonlinear CHRISTENSEN, Mark J. Kolmogorov extension theorems one-dimensional parabolic equations. Preliminary report, and algebraic models for operator-valued measures, A-17.

A-759 CHRISTENSEN, Mark J. and BHARUCHA-REID, A. T. An COOK, D. See RICHARDSON, R. L. algebraic model for Wiener measure, A-237. COOK, Howard, FEUERBACHER, Gary and KUPERBERG, CHU, Teinchen. The Weil-Peterson metric is incomplete. Wlodzimierz. Shapes of finite dimensional continua have Preliminary report, A-628. shape irreducible representatives, A-343. CHUI, C.K., ROZEMA, E.R., SMITH, P.W. and WARD, COOK, T.A. andRUTTIMANN, G.T. Symmetries on J.D. Simultaneous spline approximation and interpolation quantum logics. Preliminary report,A-663. preserving norm, A-161. COOK, Thurlow. The Hahn-Jordan decomposition theorem CM:UI, C. K., SMITH, P. W. and WARD, J.D •. Limits of in infinite quantum logics, A-183; The geometry of infinite H ·P-splines as p---.1, A-161; Favards solution is the quantum logics; Preliminary report, A-338. limit of Hk,p splines, A-161. COOK, W. Lyle and MILLS, T. M. On Berman's phenome- CHURCH, P. T. Discrete maps on manifolds. Preliminary non in interpolation theory, A-458. report, A-393. COOPER, Ellis D. The syntax and semantics of computer CHURCHILL, Richard C. See ROD, David. science. Preliminary report, A-597. CHWE, Byoung-Song. See MEDINA, Elena M. COOPER, Jeffery and STRASS, Walter A. Scattering of CICERO, Joseph E. Prime ideals and pseudo-Boolean valu- waves reflected off a moving obstacle, A-147. ations, A-75. COPPIN, Charles. Real-valued set functions defined on CIGNOLI, Roberto. A note on interpolation of martingale dense subsets of [a, b], A.-410. spaces. Preliminary report, A-515. CORDES, Craig M. Quadratic forms over non-formally CIMA, Joseph. On the log of a schlicht function. Prelimi- real fields, A-57. nary report, A-120. CORNElL, D. G. See READ, R. C. CIMENT, Melvyn. Numerical solution of free boundary CORWIN, Lawrence. Irreducibility of induced representa- value problems for parabolic equations. Preliminary re- tions. Preliminary report, A-111. port, A-596. CORZATT, Clifton E. Permutation polynomials over the CLARK, GOTTLIEB, LEACH, and ROSENHOLTZ. An un- rational numbers, A-454. holey version of the irrationals, A-28. COSTA, Doug, MOTT, JoeL. and ZAFRULLAH, M. The CLARKE, W. E. L. Homomorphic images of subgroups of · D + XDs[XJ construction, A-544. knot groups. Preliminary report, A-526. COSTA, Douglas L. Unique factorization in modules and CLEAVER, Charles E. Packing spheres in Orlicz spaces, symmetric algebras, A-720. A-177. COSTELLO, Patrick. Amicable pairs of Euler's first CLEMENS, C. H. Some recent results and questions on form. Preliminary report, A-440. principally polarized abelian varieties of dimension four, COVEN, Ethan M. Sofie systems, A-208. A-660. COWLES, John R. Real closed fields, Archimedean fields, CLEMENTS, G. F. More on the generalized Macaulay and logics extending first order logic. Preliminary report, theorem-II, A-625. A-23; Definable subsets of algebraically closed fields of COCHRAN, A. C. and MUKHERJEE, T. K. Unique topolo- characteristic 0 in logics extending first order logic. Pre- gies in duality. Preliminary report, A-181. liminary report, A-326. COCHRANE, P. D. and MacGREGOR, T. H. Frechet dif- COWLING, Michael. On a conjecture of E. M. Stein, A-716. ferentiable functionals and support points for families of COXETER, H. S.M. Faithful trivalent Cayley diagram,;. analytic functions, A-460. Preliminary report, A-39. COHEN, Elaine. On the degree of approximation by partial COZZENS, John H. and SANDOMIERSKI, Francis L. Maxi- sums of Fourier series in certain Orlicz space norms. mal orders. Preliminary report, A-91. Preliminary report, A-165. CRABTREE, L. H. and YANG, J. s. A note on unitary duals COHEN, Henry B. Integration in locally convex spaces. of C(X, G). Preliminary report, A-112. Preliminary report, A-464. CRAMER, Walter J. See KEGLEY, J. Colby. COHEN, Leon W. On differentiation, A-658. CRANDALL, Michael G. The semigroup approach to a COHEN, Miriam. Goldie centralizers of separable subal- single conservation law, A-151. gebras. Preliminary report, A-306. ---. See BENILAN, Ph. COIFMAN, R.R. On multilinear singular integrals, A-405. CRANWELL, Robert M. and WEISS, Neil A. Limit thea- COLES, W.J. Some sufficient conditions for nonlinear os- rems involving stationary point processes. Preliminary cillation, A-410. report, A-477. COLLIER, James B. The dual of a space with the Radon- CRAVEN, Thomas, Approximation properties for formally Nikodym property. Preliminary report, A-568. real fields. Preliminary report, A-618. COLWELL, Peter. See BONAR, D. D. CRAWLEY, J. Winston. Some categorical results for semi- COMER, Stephen D. Complete and model-complete theories group categories. Preliminary report, A-723. of monadic algebras, A-32; Multi-valued loops, geometries, CROSSLEY, J. N. and NERO DE, Anil. Effective dim en- and algebraic logic, A-675. sian, A-474; Sound functors, A-523. COMERFORD, Leo and TRUFFAULT, Bernard. The t-Jn- CRUSE, Allan B. A note on 1-factors in certain regular jugacy problem for free products of sixth-groups with cyclic multigraphs. Preliminary report, A-444; Some combina- amalgamation. Preliminary report, A-107. torial properties of centro-symmetric matrices. Prelimi- COMFORT, W. W. and RETTA, Teklehaimanot. Separable nary report, A-616. unions of copies of /3N\N. Preliminary report, A-716. CURTIS, W. D. See MILLER, F. R. CONN, A. R. Linear programming via a non-differentiable CUSHING, J. M. Periodic solutions of two species interac- penalty function, A-357. tion models under hereditary influences. Preliminary re- CONNELLY, Robert. An attack on rigidity. II. Preliminary port, A-323. report, A-26. ---. See BOWNDS, J. M. CONNETT, John. Cyclic group action and coincidence CUSICK, T. W. Effective lower bounds for some linear points, A-423. forms, A-671. CONNETT, William. The Dini condition is necessary, A-459; CWIKEL, Michael. A counterexample in nonlinear inter- Minimal smoothness conditions for the existence of singu- polation, A-711. lar integral operators, A-680. CZERNIAKIEWICZ, Anastasia. Minimal graphs with cyclic CONNETT, William and SCHWARTZ, Alan. The theory of color group, A-615. ultraspherical multipliers and the idea of local stability, DADE, Everett C. Nearly trivial outer automorphisms of A-165. finite groups, A-550. CONRAD, Paul. The hulls of semiprime rings, A-394; Tor- DAFERMOS, Constantine M. Admissibility criteria for sion radicals of lattice-ordered groups, A-541. solutions of conservation laws, A-152. CONREY, John B. Quadratic integer programming gen- DAHIYA, R. S, Nonoscillation generating delay terms in eralization of xy, A-638. even order differential equation, A-15; On zeros of solu- CONWAY, E. D. Formation and decay of shock waves in tiona of the second order delay differential equation, A-386; several dimensions, A-155. Computation of two-dimensional Laplace transforms, CONWAY, John B. The direct sum of two normal operators, A-470; Two dimensional operational calculus, A-514. A-632. ---. See SINGH, Bhagat. CONWAY, John B. and WU, Pei Yuan. The splitting of DAHIYA, R. s. and SINGH, Bhagat. Certain results on non- J4t(T 1 Ell T 2) and related questions, A-633. oscillation and asymptotic nature of delay equations, A-15.

A-760 DAI, Taen-Yu and DeMARR, Ralph E. Isotone functions Preliminary report, A-467. and diagonal projection operators, A-51, De KORVIN, Andre and ALO, Richard. Nonlinear operators DALE, Louis, Monic free k-ideals in a polynomial semi­ on set function spaces, Preliminary report, A-319; Some ring. Preliminary report, A-336. properties of vector valued set functions, Preliminary re­ DALY, James. The invalidity of the Calderon-Zygmund in­ port, A-467. equality for singular integrals over local fields, A-409. De KORVIN, Andre and THO, Vo Van. Nonlinear integra­ D1AMBROSA, Michael, ~-like compactifications and 0- 1 tion of totally measurable functions. Preliminary report, measures, Preliminary report, A-220. A-387; strong and weak nonlinear integration of totally DANCIS, Jerome. Building subbundles, A-228. measurable functions, A-466. DANKEL, Thad, Jr. Derivation of the charge current of DE LA TORRE, Pilar. See GOLDSTEIN, Larry J. the Pauli equation using velocity operators. Preliminary DE LILLO, Nicholas J. A note on turing machine regu­ report, A-598, larity and primitive recursion, A-647. DANTZIG, George B. and PARIKH, Shailendra C. A model DeMARR, Ralph E. See DAI, Taen-Yu. for assessing physical impact on the economy of a chang­ DEMING, R. W. A generalization of Dilworth's theorem to ing energy picture, A-742, acyclic directed graphs. Preliminary report, A-452. D'ARCHANGELO, James. An integral representation for DENCE, Thomas P. See AKST, George. the solution Wkm of Whittaker's differential equation, DE PILLIS, John. Schemes for fast matrix multiplication. A-351. Preliminary report, A-355. D•ARCHANGELO, James and HARTMAN, Philip. Integra­ DERRICK, William R. A limit theorem for functional tion of ordinary linear differential equations by Laplace­ Sturm-Liouville problems, A-193. Stieltjes transforms, A-135. DETLEFSEN, Michael E. Products of symmetric elements DASHIELL, Frederick K. Jr. A theorem on weak compact­ in the Noether lattice, RL(Ai). Preliminary report, A-55. ness of measures with application to the Baire classes. DETTMAN, John W. See BRAGG, Louis R. Preliminary report, A-570. DEUBER, Walter. Partition theorems for Abelian groups, DASTRANGE, Nasser. On the reconstruction of band­ A-30. limited signals from sampled values. Preliminary report, DEUTSCH, Emeric and MLYNARSKI, Max. Matriciallo­ A-599. garithmic norms. Preliminary report, A-300. DATKO, Richard. stability of linear differential-difference DEVANEY, Robert L. The blue sky catastrophe for Hamil­ equations, A-724, tonian systems. Preliminary report, A-685, D•ATRI, Joseph E. Geodesic spheres and symmetries. DEVARY, Joseph L. Regularity properties of second or­ Preliminary report, A-581. der processes, A-329. DATTA, B.N. On the Routh-Hurwitz-Fujiwara and Schur­ DEVENEY, J. See HEEREMA, N. Cohn-Fujiwara theorems, A-381, DEVENEY, James K. Reliable field extensions and gen­ DAVENPORT, John. The strict dual of B*-algebras. Pre­ eralized primitive elements. Preliminary report, A-721. liminary report, A-174. DeVUN, Esmond E. U-product. Preliminary report, A-8; DAVENPORT, W. Harold. Malcev ideals in alternative U-products. Preliminary report, A-295. rings. Preliminary report, A-549, DEY, Suhrit K. Accelerated iterative scheme for a system DAVERMAN, Robert J. Sewing of collared objects. Pre­ of nonlinear equations. Preliminary report, A-595. liminary report, A-424; Embeddings of (n - 1)-spheres in DEZA, M. and ERDOS, P. On intersection properties of n-space, A-733, the systems of finite sets. Preliminary report, A-657. DAVEY, Brian A. Weak injectives and Boolean extensions. DIACONESCU, Radu. Non-abelian cohomology a la Giraud. Preliminary report, A-618; Subdirectly irreducible distrib­ Preliminary report, A-676. utive double p-algebras, A-707. DIAZ, J. B. Reflection principles for the iterated Helm­ DAVEY, Brian A. and SANDS, Bill. An application of Whit­ holtz equation, A-154. man's condition (W) to lattices with no infinite chains. DIAZ, J.B. and RAM, R.B. Uniqueness of Dirichlet, Neu­ Preliminary report, A-307. mann, and mixed boundary value problems for Poisson's DAVID, John. Inert and strongly inert integral domains, equation uxx + uyy = f for a rectangle, A-352; Uniqueness Preliminary report, A-449; Inert and strongly inert inte­ of Dirichlet, Neumann, and mixed B. V. P. for Laplace's gral domains II. Preliminary report, A-504. and Poisson's equations for a rectangular solid, A-663. DAVIS, Burgess. Picard's theorem and Brownian motion, DIAZ, Julio Cesar. Hybrid collocation-Galerkin method A-406. for Laplace's equation on a rectangle, A-593. DAVIS, Daniel. A generalization of Eisenstein's irreduc­ DIBNER, Steve. A sequence of homology 3-spheres. Pre­ ibility criterion, A-426, liminary report, A-667. DAVIS, Donald M. and MILGRAM, R. James, Correction DICKMAN, R, F., Jr. Multicoherent spaces. Preliminary to "Symmetries and operations in homotopy theory", A-30. report, A-582. DAVIS, E. D. and GERAMITA, A, V. Maximal ideals in DICKMAN, R. F., Jr. and PORTER, J. R. 8-closed sub­ polynomial rings. Preliminary report, A-619. sets and Hausdorff spaces, A-28. DAVIS, Sheldon W, See REED, George M. DIDERRICH, G. T. Vander Waerden1s theorem extended DAVIS, William J. Spaces having and spaces failing the to N dimensions. Preliminary report, A-4, A-362; Some Radon-Nikodym property, A-568. historical remarks on Gallai's extension of van der Waer­ DAVISON, T. M. K. The Hosszu group of a ring, A-565. den's theorem, A-503. ---. See GRANT, D. L. DIDERRICH, George T. Local boundedness and the Shannon DAWSON, David F. A Tauberian theorem for stretchings, entropy. Preliminary report, A-561. A-157, A-362. DIEDERICH, J. R. Natural limits for harmonic and super­ DAY, Alan, Identities of congruence varieties and congru­ harmonic functions. Preliminary report, A-128. ence modularity, A-672, DIESTEL, J. The Radon-Nikodym theorem for Banach DEBNATH, Lokenath. Asymptotic analysis of the unsteady space-valued measures. Historical perspective, A-531. hydromagnetic boundary layer flow. Preliminary report, DILLON, John F. Difference sets in 2-groups. Prelimi­ A-19; On a micro continuum model of pulsatile blood flow, nary report, A-49, A-249, DIMINNIE, Charles and WHITE, Albert. 2-inner product ---. See CHATTERJEE, A.K. spaces. Preliminary report, A-11. DEBNATH, Lokenath and THOMAS, John G., Jr. On finite DiPERNA, Ronald J. Hyperbolic conservation laws and the Laplace transformation with applications, A-317. theory of functions of bounded variations, A-152. DEENEY, George. On weakly asymptotically simple space­ DLAB, V. and RINGEL, C. M. Classification of real linear times, Preliminary report, A-205. transformations between two complex vector spaces, A-548. DE FRANCO, Ron. Stability results for multiple Volterra DOBBINS, Greg. Simple semigroups in certain locally com­ integral equations, A-629, pact groups, A-551. DE GROOTE, H, F. See FISCHER, Michael J. DOBBS, David E. On the global dimensions of D + M, A-307. DEIGNAN, Daniel J. Boundary regularity of weak solutions DOBBS, David E. and PAPICK, Ira J, When is D + M co­ to a quasilinear parabolic equation, A-150. herent?, A-303. De KORVIN, Andre. Vector measures and Schauder bases. DOLAN, J. Michael and KLASSEN, Gene A. A geometric Preliminary report, A-319; Some applications of Schauder oscillatory theory for the equation LnY = q, A-141. bases. Preliminary report, A-386; Integration of measures.

A-761 DOMBROWSKI, Joanne and FRICKE, Gerd H. The abso­ ELLIAS, Samuel. See GROSSBERG, stephen. lute continuity of phase operators, A-193. ELLIOTT, D. L. See SEDWICK, J. L. DONNELLY, Harold. Eta invariant of a fibered manifold, ELLIS, Martin H. Achieving the d-distance between two A-578. two-state mixing Markov processes. Preliminary report, DOOB, Michael. Characterizations of regular magic A-632. graphs. Preliminary report, A-614. ELLIS, RichardS. and MONROE, James L. A simple DOTSON, W. G., Jr. An interative process for nonlinear proof of the GHS and further inequalities, A-330; Correla­ monotonic nonexpansive operators in Hilbert space, A-190. tion inequalities for generalized Ising spin systems. Pre­ DOUGLIS, Avron. Layering methods for parabolic sys­ liminary report, A-359. tems. Preliminary report, A-152. ELLIS, RichardS. and NEWMAN, Charles M. Applica­ DOWNEY, Charles P. Reisz transforms for vector spaces tions of the GHS inequality to probability and analysis, over a local field, A-169. A-666. DOYLE, Jon. Non-repetitive binary sequences. Prelimi­ ELLIS, RichardS., MONROE, James L. and NEWMAN, nary report, A-660. Charles M. The GHS and other correlation inequalities DROBOT, Vladimi. On the speed of convergence of itera­ for a class of even ferromagnets, A-640, tions of a function, A-156. ELOSSER, P. Douglas. Approximations of powers of x by DUBE, L. s. An inversion of S2 transform of generalized polynomials, A-636. functions. Preliminary report, A-310. EMBRY, Mary R. and LAMBERT, Alan. Subnormal semi­ DUDERSTADT, James J. See MARTIN, William R. groups of operators, A-337. DUFFIN, R.J. and MORLEY, T.D. A vectorial generali­ ENGEL, Gernot M. and SCHNEIDER, Hans. The Hada­ zation of Kirchhoff's laws, A-547. mard-Fischer inequalities for a class of matrices defined DUNBAR, Jean and LASKAR, Renu. Finite nets of dimen­ by eigenvalue monotonicity, A-547. sion ·d. Preliminary report, A-49. ENRIGHT, Thomas J.and VARADARAJAN, V.S. Discrete DUNCAN, G. T. and MILTON, E. 0. Scoring multiple­ serie13 representations, A-431. answer multiple-choice test items: Bayes and minimax EPSTEIN, George. Subresiduated lattices, A-677. strategies, A-243. EPSTEIN, Richard. Joins and complements below high DUPONT, Todd. Modeling wave propagation with finite ele­ degrees, A-327. ment methods, A-265. ERBACHER, Joseph. See ABE, Kinetsu. DUPRE', Maurice J. Classifying C~ -bundles. Preliminary ERBER, T. Cerenkov-Magnetobremsstrahlung, A-472; report, A-510. Magnetic Bremsstrahlung in the quantum regime, A-520. DURBIN, John R. Spherical functions on compact wreath ERDELYI, Ivan. Strongly decomposable unbom1t.ied opera­ products. Preliminary report, A-112. tors, A-192. DURBIN, John R. and FARMER, K. Bolling. Projectively ERDOS, P. See BLEICHER, M. N. monomial groups, A-100. ---•. ~ee DEZA, M. DURIS, C. S. Interpolating with discrete natural polynomial ERDOS, Paul and KELLY, L. M. Order embeddings in spline functions, A-156. En. Preliminary report, A-575. DWYER, C. E. Cox. See TRACY, D.S. ERDOS, Paul and REDDY, A. R. Rational approximation EARNEST, A. G. and HSIA, J. s. 6Pinor genera of quadratic on certain unbounded domains of the complex plane, A-160. forms under field extensions, A-671. ERDOS, Paul and RICHARDS, Ian. Density functions for EASTON, Robert and McGEHEE, Richard. A note on orbits prime and relatively prime numbers, A-66. homoclinic to invariant manifolds. Preliminary report, ERDOS, Paul, NEWMAN, Donald J. and REDDY, A. R. A-688. Rational approximation (II), A-519; Rational approxima­ EBERLEIN, Patrick. Surfaces of nonpositive curvature, tion (IV), A-636. A-581. ERIC, Mendelsohn. Almost perfect one-factorizations of EBERT, Gary L. Disjoint circles in finite miquelian inver­ K2n(2n + 1 prime), A-299. sive planes. Preliminary report, A-200. ESCOBALES, Richard H., Jr. Submersions from com­ EDELSON, Allan and KREITH, Kurt. Upper bounds for con­ plex projective space,A-204. jugate points of nonselfadjoint differential equations, A-401. ESLINGER, Robert C. Partial semigroups on a Banach EDELSTEIN, Michael. Convex hulls of strongly exposed spacjl, A-734. points, A-570. ESSEN, Matts. A generalization of Beurling's inequality EDGAR, G. A. A noncompact Choquet theorem, A-174; Non­ for harmonic measure. Preliminary report, A-518. compact extremal integral representations, A-568. ETGEN, Garret. Oscillation of second order differential EDMONDSON, Don E. Reductivity in rings, A-88, systems in Banach spaces, A-138. EDREI, Albert. The complete Pade tables of certain series ETHIER, Stewart N. An error estimate for the diffusion of simple fractions. II, A-160. approximation in population genetics. Preliminary report, EDWARDS, David A. On homotopy theories of pro-spaces: A-241. strong versus weak, A-344. EUSTICE, Dan. See CARROLL, F. W. EDWARDS, David A. and GEOGHEGAN, Ross. The Wall EVANS, E. Graham, Jr. Invariant theory, Macaulay obstruction in shape and pro-homotopy, with applications, rings and Gorenstein rings. Preliminary report, A-76. A-255; When has a space the shape of a CW complex?, EVANS, Elliott. Congruences of semilattice trees. Pre­ A-344. liminary report, A-615. EDWARDS, David A. and HASTINGS, H. M. On topological EVANS, Michael J. Monotonicity and the L symmetric methods in homological algebra, A-360. derivative, A-627. P EDWARDS, David A. , GEOGHEGAN, R. and HASTINGS, EVANS, Michael J. and HUMKE, Paul D. Directional H. M. On homotopy inverse limits and the vanishing of cluster sets and essential directional cluster sets of real lim8 for stable Pro-groups, A-224. functions defined in the upper half plane. Preliminary re­ EDWARDS, Robert D. The double suspension of a certain port, A-554. homology 3-sphere is s5, A-334. EVANS, Trevor. The construction of orthogonal k-skeins EFROYMSON, Gustave A. Substitution in Nash functions. and latin k-cubes, A-2; Free algebras and orthogonal latin Preliminary report, A-80. squares, A-722. EHRLICH, Paul. Riemannian metrics without conjugate EVERETT, C. J. and METROPOLIS, N. On the roots of points, A-522. xm ±. 1 in the p-adic field Qp, A-619. EHRMANN, Sister Rita. Minimal surfaces rediscovered, EVERITT, W. N. See BRADLEY, J. S. A-259. EWING, J. and MOOLGAVKAR, S. The group of holo­ EISENBERG, Sheldon M. Error estimates in approximation morphic line bundles on an algebraic surface. Prelimi­ by extended Hermite-Fejer operators, A-159. nary report, A-624. EKLUND, Neil. Parabolic Green functions in open sets, EWING, Richard E. See CANNON, John R. A-150. FABER, Vance. Large abelian subgroups of the asso­ ELDERKIN, Richard H. Separatrices in solitude, A-138. ciated group of a nil ring. Preliminary report, A-397. ELDRIDGE, Klaus E. and HSIA, Samson. Hereditary and FABREY, James D. Integration of polynomials without semihereditary group rings. Preliminary report, A-90; evaluation of antiderivatives, A-258. Group rings which are domains. Preliminary report, A-90. FAGIN, Ronald. The nmnber of finite relational structures.

A-762 Preliminary report, A-645; Asymptotic value of a proba­ FIXMAN, Uri and RUBEL, Lee A. Uniform approxima­ bllistically interesting combinatorial sum. Preliminary tion by rational functions and their derivitaves. Prelimi­ report, A-715. nary report, A-162. FAffiES, J.D. See BUONI, J,J. FLEISCHER, Isidore. See BULMAN-FLEMING, Sydney. FAffiWEATHER, Graeme. Numerical methods for para­ FLEISSNER, Richard J. Products of derivatives, A-553. bolic partial integra-differential equations, A-594. FLEISSNER, William G. A collectionwise Hausdorff, not FAJTLOWICZ, Siemion. Means in lattices and semilattices, collectionwise normal Moore space, A-30; The character A-52; On ultrafilters of distributive lattices. Preliminary of w1 in first countable spaces, A-211, report, A-348. ---. See SWETT, A.K. FALK, R. S. and KING, J. T. An analysis of the penalty FLEMING, R. J. and JAMISON, J. E. Operators on mod­ method and extrapolation for the stationary Stokes equa­ ulared spaces, A-196; On a conjecture of Istratescu, A-197. tions, A-20. FLEMING, Richard. See BERKSON, Earl. FARMER, K. Bolling. See DURBIN, John R. FLOYD, Denis R. and HENTZEL, Irvin Roy. An applica­ FAUDREE, Ralph J. and SCHELP, Richard H. A class of tion of group rings to associator dependent algebras, A-93, panconnected graphs, A-42; Ramsey numbers for linear FONG, Humphrey. Weak convergence of semi-groups im­ forests, A-45. plies strong convergence of weighted averages, A-626. FAULKNER, John R. Coordinatization of some quadrilat­ FONTENOT, Robert A. and SCHOCHETMAN, Irwin. Com­ eral geometries. Preliminary report, A-92. pact operators and induced representations. Preliminary FAUNTLEROY, Amassa and MAGID, Andy. Quasi-affine report, A-182, quotients of unipotent actions, A-507. FORA, Ali A. The dimension conjecture for products of FAY, Temple Harold. Some applications of categorical modified Sorgenfrey spaces. Preliminary report, A-482; relation theory. Preliminary report, A-720. still on modified Sorgenfrey spaces. Preliminary report, FEFFERMAN, Charles, RIVmRE, NestorM. and SAGHER, A-588; On subspaces of the product of the Sorgenfrey Y. Interpolation between HP spaces, 0 < p < oo, A-167 space, Preliminary report, A-650. FEIN, Blrton and SCHACHER, Murray. Galois groups and FORAN, James. On functions whose graph is of linear division algebras, A-394. measure 0 on sets of measure 0, A-553, FEINBERG, Robert B. Similarity of partitioned matrices, FORD, Charles. Connection between the Schur index of a A-546. representation and the structure of the group, A-109; FELDMAN, W.A. See PORTER, J. F. Finite groups and division algebras, A-398, FELDMAN, W.A. and PORTER, J. F. Representation of FORREST, Williams. A definability result for strongly harmonic functions. Preliminary report, A-184. minimal sets, A-23; A property of uncountable free alge­ FERGUSON, H. R. P. Integer coefficients of the theta func­ bras. Preliminary report, A-266; On the spectrum of uni­ tion nome, A-408. versal classes. Preliminary report, A-324; The repre­ FERGUSON, Helaman. Generalization of Fibonacci num­ sentation of open formulas over integral domains, A-391; bers useful in dynamic memory allocation, A-158; Recon­ Existence theorems for atomic homogeneous structures, struction of plane objects by Farey dissection, A-567. A-474; Existentially closed structures in universal classes, FERGUSON, Pamela A. A classification theorem for A-525; Open formulas of dimension > 0 over integral do­ C(J(J groups, Preliminary report, A-448; A characteriza­ mains, A-643. tion theorem for 3' homogeneous groups, A-503. FOSTER, Kent. Oscillations of a forced even order dif­ FERRAR, Joseph. Algebras of type E7 over number ferential equation, A-140. fields, A-92. FOTI, James P. Asymptotically autonomous multi-valued FESER, Victor G. Construction of triangular polyhedra. differential equations, A-137, Preliminary report, A-577. FOURNIER, John J. F. Convolution operators of weak FEUERBACHER, Gary. See COOK Howard. type, A-167; Sharpness in the Hausdorff-Young theorem FEY, Mark. On the equation 4x"+2'y" + y2n+~ 0, A-133. on unimodular groups. Preliminary report, A-486, FIALKOW, Lawrence, The similarity orbit of a normal FOWLER, Peter A. Infimum and domination principles operator, A-388; A note on direct sums of quasinilpotent in vector lattices, A-128, operators, A-466; On limits of unitarily equivalent opera­ FOX, David W. Transient solutions for stratified fluid tors, A-516; A note on limits of unitarily equivalent par­ flow, A-559. tial isometries, A-626. FRAENKEL, Aviezri s. Further characterizations and FIELD, Richard J. See TROY, William C, properties of exactly covering congruences, A-297. FIGIEL, T. See CARROLL, F. W, FRAENKEL, Aviezri s. and TASSA, Uzi. strategy for a FINDLEY, David F. Polyhomogeneous maps, A-191. class of games with dynamic ties. A-307, FINE, Benjamin. Rings with sum of squares properties, FRAENKEL, Aviezri S. and YESHA, Yaacov. Theory of Preliminary report, A-660, annihilation games, Preliminary report, A-37. FINK. A.M. Open questions in quantitative estimates of FRANCIS, George K. The combinatorial topology of disconjugary intervals, A-411. bordered Riemann surfaces, A-41; Excellent maps. Pre­ FINKELSTEIN, Harold and MANDELBERG, Kenneth. On liminary report, A-522. solutions of equations in symmetric groups. Preliminary FRANCIS, George K. and TROYER, stephanie F. Clas­ report, A-382, sifying stable maps to the plane, A-668. FINKELSTEIN, Raphael P. On Fibonacci numbers of the FRANK, M. J. On associative solutions of a distributivity form x2 + 1, A-64, equation. Preliminary report, A-13; On the simultaneous ---. See RUDMAN, R. associativity of C(x,y) and x + y- C(x,y). Preliminary FINTUSHEL, R.A. On local s1-actions with PL orbit report, A-562. maps. Preliminary report, A-331. FRANK, M.J. and SCHWEIZER, B. On the duality of FIORINI, S. See BEINEKE, L, W. generalized infimal and supremal convolutions, A-460, FISCHER, Michael J, , DE GROOTE, H. F. and SCHON­ FRANK, Marguerite. On certain classes of Jacobian RAGE, A. On quaternion multiplication, A-390. generated algebras. Preliminary report, A-94. FISHER, Joe W. Rings generated by their units. Prelimi­ FRANKFURT, Richard. Subnormal weighted shifis and re­ nary report, A-84; Rings generated by their units, A-452. lated function spaces, A-388, FISHER, S.D. and JEROME, J.W. Stable and non-stable FREED, Benjamin M. Embedding contractible 2-complexes elastica equilibria, A-197. in E4, A-231. FITTING, Melvin and SONOBE, Osamu. Formulas of modal FREEDMAN, Marvin I. and KAPLAN, James L. Perturba­ degree one, Preliminary report, A-325. tion analysis of a class of time optimal control problems, FITZGffiBON, W. E. Product integration in reflexive A-198, Banach spaces, Preliminary report, A-189. FREEMAN, J. W. Relations between two Baer subplanes FITZPATRICK, P.M. andPETRYSHYN, W.V. Positive of PG(2,q2), Preliminary report, A-200. eigenvalues for nonlinear operators, A-195. FREESE, Ralph, Congruence modularity. Preliminary FITZPATRICK, William J, and GRIMM, Louis J, Differen­ report, A-301. tial inequalities and k-point boundary problems, A-403. FREUD, G, and REDDY, A.R. Rational approximation, FIX, George. Hybrid finite element methods, A-659, A-469, FIXMAN, Uri and RAO, G. K.R. The numerical range of FRIQ, Roman. OnE-sequentially regular spaces, A-213. compact operators in ~-spaces, Preliminary report, A-17. FRIC, Roman, McKENNON, Kelly and RICHARDSON,

A-763 Gary D. Sequential convergence in C(X), II. Preliminary GARNER, Lynn E. Proper lineations on real spaces are report, A-489. collineations. Preliminary report, A-199. FRICKE, Gerd H. See DOMBROWSKI, Joanne. GARNETT, John B. See BERNARD, Alain. FRIDY, J.A. Summability of rearrangements of sequences, GARRETT, J. W. and STANOJEVIC, C. V. On integrabil­ A-158. ity and L1 convergence of certain cosine sums, A-166. FRIED, E. and GRATZER, G. On automorphisms of the GARWIN, Richard L. The problem of aggregation in subalgebra lattice induced by automorphisms of the algebra. modeling physical and social systems and processes, A-741. Preliminary report, A-380. GASKILL, Herbert S. A note on finite sublattices of a FRIEDLANDER, Eric M. Stiefel manifolds, Preliminary free lattice, A-451. report, A-676. GAUGER, Michael A. Borel and Borel-like solvable Lie FRIEDLER, Louis M. and PETTEY, Dix H. Inverse algebras, A-92. limits and mappings of minimal topological spaces, A-424, GAUTAM, S,K. Singh. See KAMTHAN, P.K. A-490. GAY, David A. A new proof in the Galois theory of func­ FRIEDMAN, Avner. Existence of densities for degenerate tion fields, A-73. diffusion processes, A-234. GAZIK, H., HICHARDSON, G. and KENT, D. T-regular­ FRIEDMAN, Harvey. The complexity of explicit defini­ closed convergence spaces, A-490. tions, A-22; Perspectives in algebraic recursion theory, GEAHHART, L. M. On the invertibility of continuous A-420; Programs and results in logic I, A-476; Intuition­ shifts. Preliminary report, A-387. istic completeness of Heyting' s predicate calculus, A-648. GEHRING, F. W. Open problems for quasiconformal map­ FROESCHL, Paul A. m. Chained rings. Preliminary re­ pings, A-416. port, A-76. GEISSINGER, Ladnor. Combinatorics and an algebra of FRY ANT, Allan J. Growth of entire harmonic functions divided powers. Preliminary report, A-50. in R3, A-556; Value distribution of axisymmetric har­ GELBART, Stephen. On some Euler products of degree monic functions having rational B3 associates, A-629; three. Preliminary report, A-674. Interpolation and approximation of axisymmetric harmonic GELLAR, Ralph. Circularly symmetric normal and sub­ functions in R3, A-726. normal operators, A-196. FRYANT, Allan and MARDEN, Morris. Green's function GELLER, Susan C. Presentations of GE(n,R) and com­ with ring pole and applications to interpolation, A-735. putation of K2(n,H). Preliminary report, A-86. FRYE, William. Hypergraph coloring. Preliminary re­ GENDLER, Alan M. Extreme operators in the unit ball port, A-336. of L(C(X), C (Y)), A-185. FU, Yen Tzu. A perturbation and an approximation theo­ GEOFFROY, Dennis P. Nuclei of a point determining rems for non-linear semigroups. Preliminary report, graph. Preliminary report,A-47; On 1-factors of point A-680. determining graphs. Preliminary report, A-445. FUCHS, Martin. Homotopy equivalences in equivariant GEOGHEGAN, Ross. See EDWARDS, David A. topology, A-589. GERAMITA, A. V. See DAVIS, E. D. FUELBERTH, John and KUZMANOVICH, J. Primary GERELLE, Eric G. H. Representation of finite orthomod­ direct sum decomposition, A-89. ular posets. Preliminary report, A-54. FUELBERTH, John, ~"UZMANOVICH, James and SHORES, GEHSTEIN, Larry J. Indecomposable hermitian forms Thomas. Splitting torsion theories over commutative over quadratic number fields. Preliminary report, A-72. rings, A-75. GERTH, Frank III. 3-class groups of cubic fields, A-69. FUGLISTER, Frederick J. On a problem of E. Artin, GEWAND, M. See WILLIAMS, S. A-298. GHAFFAHI, Abolghassem. On a nonlinear differential FULLEH, Kent R. On rings of finite module type, A-266. equation occurring in astrodynamics, A-142. FULLEH, Leonard E. Generalized lattices. Preliminary GHATAGE, P. Growth conditions and similarity orbits. report, A-398. _ Preliminary report, A-630. GALE, Deborah. zn- \Jl-semigroups, A-484; Generali­ GIBBONS, J. and WEBB, C. Circle-preserving transfor­ zation to the subarchimedean case of Putcha•s result, A-620. mations, Preliminary report, A-682. GALE, Deborah and TAMUHA, Takayuki. Maximal can­ GIBSON, Peter M. See BRUALDI, Richard A. cellative subsemigroups and subarchimedeaness. Preli­ GIBSON, Hichard G. See KELLUM, Kenneth R. minary report, A-735. GIFFEN, Charles H. Hasse-Witt invariants for simple GALVIN, Fred. Bounds for power sets of singular cardi­ Poincare complexes and simple homotopy equivalences of nals. Preliminary report, A-266. manifolds. Preliminary report, A-730. GANDHI, J. M. On sums analogous to Dedekind's sums, GILBEHT, John E. Tensor products, interpolation theory A-59; Fermat's last theorem II, a new circulant condition and convolution operators, A-171. for the first case, A-450; Fermat's last theorem I, some GILBEHT, Richard D. The deficiency index of a third interesting observations for the first case, A-486; Fer­ order operators, A-134. mat's last theorem III, a new circulant condition for the GILBERT, Robert P. See BROWN, Patrick M. first case for primes of the form 6m- 1, A-502; Fermat's GIL FEATHER, Frank. Reductive operators with a spec­ last theorem IV, a new circulant condition for the first tral separation property, A-191. case for primes of the form 6m + 1, A-541; A note on the GILKEY, Peter B. The local invariants of a Riemannian first case of Fermat's last theorem, A-612. manifold, A-578. GANDHI, J. M. and STUFF, Mark. On the first case of GILL, John. A generalization of certain corresponding Fermat's last theorem and the congruence zP-1 = 1 (modp3), continued fractions, A-388. A-453; Comment on certain results about Fermat's last GILL, Tepper and BHARUCHA-REID, A, T. Tensor theorem, A-502. products of contraction semigroups associated with some GAHA VA GLIA, Steven. Two results in nonstandard analysis. Markov processes, A-25. Preliminary report, A-23; Ultrapowers and Cech homology. GILLETTE, R.M. and VAN BUSKIRK, J.M. Knots in­ Preliminary report, A-324; Exactness for equationally variant under switching an essential crossing,A-226. compact groups. Preliminary report, A-391; Complete­ GILLIAM, David. The Radon-Nikodym property for strict ness for topological languages. Preliminary report, A-473; Mackey convergence spaces. Preliminary report, A-629. Ultrapowers of topological abelian groups. Preliminary GILMER, Robert. The group of units of a commutative report, A-645; A topological ultrapower theorem. Preli­ semigroup ring, A-295. minary report, A-715. ---. See ARNOLD, Jimmy. GARCIA, C. B. Computing Ramsey llllmbers, A-5. GILPIN, Michael. Three Stirling number identities from GARD, James. See MUKHERJEA, Arunava. the stabilizing character. Preliminary report, A-533. GARD, Thomas C. Rate of decay for solutions of stochas­ GINGRAS, Armando R. Compact convergence lattices. tic differential equations. Preliminary report, A-719. Preliminary report, A-54, GAHDNER, Marianne Lepp. Brooks' theorem is true for GINSBURG, John and WOODS, R. Grant. On the cellu­ hypergraphs. Preliminary report, A-41. larity of fjX- X, A-478. GARDNER, Robert B. Algebra of the second fundamental GIOIA, A.A. and SUBBARAO, M. V. On the Scholz­ form,A-579. Brauer problem in addition chains, A-63. GARFINKEL, G.S. See CHILDS, L.N, GITTINGS, Raymond F. Characterizations of spaces

A-764 using {jX, A-655. GRAD, Harold. Mathematical problems arising in con­ GIVANT, steven. A complete representation theorem for trolled thermonuclear research,A-740. varieties categorical in power, A-33. GRADY, Michael D. Sufficient conditions for an operator GLASS, A.M. W. and McCLEARY, stephen H. Problems valued Feynman-Kac formula, A-423. in lattice-ordered groups, Preliminary report, A-540. GRAHAM, George P., Jr. Permutation matrices and di­ GLASSEY, R. See CHADAM, J. hedral groups. Preliminary report, A-622. GLAZER, steven. The indiscrete ultrafilters problem. GRAHAM, George P., Jr. and LOSEY, Gerald 0. Di­ Preliminary report, A-37. mension subgroups of a group with respect to a field of GLICKSBERG, L Some remarks on A-holomorphy ,A-736. characteristic 0, A-707. GLUCK, Herman. See SINGER, David. GRAHAM, R. L. and LEHMER, D. H. On the permanent GLUCK, Herman and SINGER, David. Deformations of of Schur's matrix, A-68. geodesic fields. Preliminary report, A-580. GRAINGER, Arthur D. Finite points of filters in infinite GLUCK, Lawrence. On p-weights for even functions, dimensional vector spaces, A-631. A-167. GRAMS, Anne and WARNER, Hoyt. Irreducible divisors GOEL, s. C. and JAIN, s. K. Rings with a class of mod­ In domains of finite character. Preliminary report, A-79. ul,es projectives or quasi-injectives. Preliminary report, GRANT, D.L. and DAVISON, T. M.K. Analogues of La­ A-88; Semi-perfect rings with quasi-projective left ideals, grange• s four-square theorem in the integers modulo n, A-400. A-616. GOLAN, Jonathan S, RAYNAUD, Jacques, and VAN GRASSL, Richard M. Levi structures for polynomial OYSTAEYEN, Freddy. Sheaves over the spectra of cer­ ideals, A-295. tain noncommutative rings, A-621. GR.A TZER, G. A characterization of the characteristic of GOLDBERG, Michael. On the space-filling hexahedra, an equational class. Preliminary report, A-380; A note on A-575. the amalgamation property, A-453. GOLDBERG, Michael A. The equivalence of Fredholm ---. See FRIED, E. integral equations and Cauchy problems for differential GRATZER, G. and LAKSER, H. Finitely presented lat­ equations. Preliminary report, A-512; Tbe use of func­ tices. Preliminary report, A-380. tional equations In numerical analysis, A-560. GRAVER, Jack E. On the foundations of integer linear GOLDBERG, Moshe. On the characterization of spectral programming. I, A-252. matrices, A-546. GRAVES, William H. An example of a universal measure. GOLDBERG, Richard R. Multipliers from L1 to a Segal Preliminary report, A-116; Extending vector measures. algebra. Preliminary report, A-12. Preliminary report, A-556. GOLDSTEIN, Larry J. and DE LA TORRE, Pilor. Dade­ GRAY, L.J. Products of Hermitian operators. Prelimi­ kind sums for a totally real algebraic number field. Pre­ nary report, A-194. liminary report, A-58, GREECHIE, Richard J. Some results from the combina­ GOLDSTEIN, :~Myron. Subharmonic functions possessing torial approach to quantum logic, A-53; Every finite group local harmonic majorants, A-127. is the automorphism group of an orthocomplemented pro­ GOLDSTEIN, Richard Z. and TURNER, Edward C. A jective plane, A-721. formula for the stiefel Whitney homology classes, A-481. GREEN, Edward L. See GORDON, Robert. GOLDSTON, Joseph W. Generalized sequential spaces. GREEN, Mark L. Holomorphic maps to complex tori, Preliminary report, A-222. A-739. GOLLWITZER, Herman. Stability properties of a differen­ GREEN, William L. Compact groups of automorphisms of tial equation, A-140. von Neumann algebras. Preliminary report, A-181. GOLUMBIC, Martin Charles. Comparability graphs and a GREENBERG, James M. Decay theorems for the quasi­ new matroid, A-40; Combinatorial merging, A-639. linear wave equation, A-152. GONSHOR, Harry. An application of nonstandard analysis GREENBERG, M. J. strictly local solutions of Diophan­ to category theory, A-98. tine equations, A-349. GONZALEZ, M. 0. On the regularity of the image of an GREENBERG, William. Spectral analysis of the multi­ ordinary point of a surface under a differentiable mapping, group transport operator, A-251. A-341. GREENE, Curtis. A combinatorial test for local distri­ GONZALEZ-ACUNA, Francisco J. See BIRMAN, Joan S. butivity, A-299. GOODALL, M. C. Church's thesis and the foundations of See KLEITMAN, Daniel J. relativistic quantum mechanics, A-340. GREENSPAN, Donald. Tbe arithmetic basis of special GOODEARL, K.R. Completions of simple regular rings, relativity-!, A-322. A-84. GREGORY, John. Numerical solutions of differential GOODMAN, A. W. Remarks on the Gauss-Lucas theorem equations. Preliminary report, A-246. in higher dimensional space, A-114. GRIESS, R. L., Jr. See BURGOYNE, N. GOODMAN, V. See BENNETT, G. GRIMM, Louis J. See FITZPATRICK, William J. GOOR, Robert M. Existence of an optimal control for sys­ GRIMMER, Ronald. Nonlinear boundary value problems, tems with jump Markov disturbances. Preliminary report, A-137. A-257. GRIMMER, Ronald C. and PATULA, William T. Non­ GOOTMAN, E. C. and KANNAN, D. Zero-one laws in oscillatory solutions of forced second order linear equa­ finite W*-algebras (noncommutative probability), A-241. tions, A-413. GOPINATH, B. and KURSHAN, R.P. Extremal polyno­ GRISPOLAKIS, J., LELEK, A. and TYMCHATYN, E. D. mials in bounded T-systems, A-162. Characterizations of finitely Suslinian continua, A-343. GORA, Edwin K. and TATTERSALL, James J. On there­ GROETSCH, C. W. and JACOBS, B. A unified convergence duction of functions of matrices to matrix polynomials, theory for generalized inverses of bounded linear operators A-82. with arbitrary range. Preliminary report, A-681. GORDH, G. R. , Jr. and MARDESIC, Sibe. Characterizing GROETSCH, Charles. On existence criteria and approxi­ local connectedness in inverse limits, A-223. mation procedures for integral equations of the first kind, GORDON, Basil and HOUTEN, Lorne. On cubic curves A-172. over finite fields. Preliminary report, A-BO. GROMOV, Mikhael. Topology of Riemannian manifolds GORDON, Gerald Leonard. Some examples of nondeforma­ with small curvature and diameter. Preliminary report, tions of Kl!hler manifolds, A-672. A-592. GORDON, Henry G. Complete degrees of finite-state GRONSKI, Jan M. On the classification problem for the trans formability, A-258. control vector fields, A-417. GORDON, Robert and GREEN, Edward L. A representa­ GROSS, Jonathan L. An infinite family of octahedral tion theory for noetherian rings, A-85. crossing numbers, A-532. GOTTLIEB. See CLARK. GROSSBERG, stephen. Development of specificity in GOULD, H. W. Limiting and asymptotic behavior of the striate cortex; applications to learning and reaction-diffu­ Bondurant-Hoskold formulas for valuation of coal mine sion. Preliminary report, A-390; Adaptive pattern classi­ parcels for equitable tax assessment. Preliminary report, fication and universal receding. Preliminary report, A-261. A-472; Adaptive resonance, expectation filtering, and

A-765 olfactory coding, A-642. nary report, A-186. GROSSBERG, stephen and ELLIAS, Samuel. Pattern for­ HALE, Jack K. Bifurcation with several parameters, mation and oscillations in the short term memory of shunt­ A-401. ing on-center off-surround networks. Preliminary report, HALES, Alfred W. See BROWN, Robert F. A-389. HALEY, David K. Equationally compact rings with GROSSBERG, stephen and LEVINE, Daniel. Development­ A. c. C. , A-3; On a question of Mycielski, A-504. al and attentional biases in contrast enhancement and short HALL, Gaineford J., Jr. Non-stationary stochastic term memory of neural networks. Preliminary report, gold-mining, A-243. A-389. HALL, Leon M. A characterization of the cokernel of GROSSMAN, Marvin W. Korovkin type theorems with re­ a singular Fredholm differential operator, A-406. spect to a Markov operator. Preliminary report, A-463. HALPERN, Fred. Some second-order transfer theorems, GROSSMAN, Stanely I. Resolvents of Volterra integral A-35. equations with differentiable kernels. Preliminary report, HALPERN, Herbert. Essential central range of a von A-172. Neumann algebra, A-14; Spectra of operator equations in GRUENHAGE, Gary. Compact basically screenable spaces von Neumann algebras, A-635. are metrizable. Preliminary report, A-212. HAMBLETON, Ian. Involutions on 2-connected 6-mani­ GRUENHAGE, Gary and NYIKOS, Peter. Spaces with folds, A-231. bases of countable rank, A-586. HAMILTON, H. B., NORDAHL, T. E. and TAMURA, T. GRUNBAUM, Branko. Arrangements of colored lines, Commutative cancellative semigroups without idempo­ A-200. tent, A-427. GRUNBAUM, F. Alberto. The determinant of a random HAMMER, P.L., JOHNSON, E.L. andPELED, U.N. matrix, A-240; The phase problem in crystallography, The role of master polytopes in the unit cube, A-255. A-262; The spectrum of a random matrix, A-476; Unique HAMMER, Preston C. Identities. Preliminary report, factorization in random variables, A-667; Inverse spectral A-31; Errors in mathematics. Preliminary report, A-531. problems in the presence of noise, A-683. HAMSTROM, Mary Elizabeth. Ambient isotopy classes GUASPARI, David. See HARRINGTON, Leo. in graph complements. Prelinlinary report, A-425. GUAY, M.D. and NAIMPALLY, S.A. Hahn-Banach theo­ HANDEL, David. Epimorphism plus monomorphism im­ rem implies linear topological space, A-16. plies equivalence in the homotopy category, A-224. GUCCIONE, S.J. and STANOJEVIC, C. V. Probabilistic HANKINS, J. C. and RAKESTRAW, Roy M. The extremal foundations of quantum theories and Rubin-Stone spaces, structure of locally compact sets, A-630. A-177. HANNSGEN, Kenneth B. The resolvent kernel of an in­ GUCKENHEIMER, John. Regularity for a single conserva­ tegrodifferential equation in Hilbert space. Prelinlinary tion law, A-143. report, A-351; Uniform L' behavior for an integrodif­ GUGGENHEIMER, H. Oscillation and disconjugacy in ferential equation with parameter, A-724. topological dynamics, A-402; Differentiability of the conju­ HARARY, Frank and THOMASSEN, Carsten. Anticritical gate point, A-468; Contact maps and the theorem of Enger­ graphs, A-48. Liebmann. Prelimina1y report, A-654. HARARY, Frank, CHARTRAND, Gary and LICK, Don R. GUMM, Peter. Congruence-equalities and Mal 1cev condi­ Point arboricity anticritical graphs, A-381. tions in regular equational classes, A-509. HARDY, G. E. Schnirelmann density fork-free integers GUNJI, Hiroshi. On the p-endorn1orphism of an elliptic for 7;:;; k ;:;; 12, A-6. curve. Preliminary report, A-673. HARLEY, Peter W. III. G0 points in symmetrizable GUPTA, Arjun K. On a classification model, A-244. spaces, A-223. GUPTA, Manjul. See KAMTHAN, P.K. HARLEY, Peter W. III and STEPHENSON, R.M. ,Jr. GUREL, Okan. On the existence of limit cycles following Products of symmetrizable spaces, A-222; Symmetrizable peeling, A-361. and related spaces, A-731. GUSTAFSON, Karl. Algebraic multiplicity, A-627; The HARRINGTON, A. and ORTEL, M. On the dilatation of Weyl-Browder algebraic essential spectrum and the Wein­ extremal quasiconformal mappings, A-633. stein-Aronszajn determinant theory, A-709. HARRINGTON, Leo and GUASPARI, David. Definable GUY, Richard K. Combinatorial gan1e theory, A-254. real numbers. Preliminary report, A-33. GUYKER, James. On power partial isometries. Prelimi­ HARRIS, Theodore E. Reciprocal processes II. (Count­ nary report, A-635. able case). Preliminary report, A-25; Some results on HADDOCK, John. Liapunov functions, Liapunov functionals Markov interaction processes, A-488. and convergence of solutions of functional differential equa­ HARTE, Robin. Singularity, exponentials and spectral tions, A-724. permanence, A-311. HADWIN, Donald W. Closures of unitary equivalence HARTFIEL, D.J. and MAXSON, C.J. A characterization classes. Preliminary report, A-193. of the maximal monoids and maximal groups in flx, A-102. HAGER, William and HOROWITZ, Larry. Convergence and HARTIG, Donald. On functors from compact pairs to stability properties of the discrete Riccati operator equation, Banach algebras, A-182. A-573. HARTLEY, Brian. A condition for complete reducibility. HAGER, William W. The Ritz-Trefftz method for state and Preliminary report, A-397. control constrained optimal control problems, A-641; Free HARTMAN, Philip. See D 1ARCHANGELO, James. boundaries and finite elements in one dinlension, A-641; HARTNETT, William E. Tbe mathematization of analysis, Stability of quadratic programs and optimal control regu­ A-258. larity, A-710. HASTINGS, H. M. See EDWARDS, David A. HAGER, William W. and MITTER, Sanjoy K. Lagrange HASTINGS, Maryam Shayegan. An embedding theorem duality theory for convex control problems, A-631. for seminearness spaces. Prelinlinary report, A-219. HAGGARD, Gary. The non-orientable genus of graphs, HASTINGS, William. Subnormal operators quasisinlilar A-534. to an isometry. Preliminary report, A-189. ---. See McCARTHY, Donald. HAUSEN, Jutta. Endomorphism rings and automorphism HAGIS, Peter, Jr. Every odd perfect number has at least groups of abelian p-groups, A-395. eight prime factors. Preliminary report, A-60. HAUSKNECHT, Adam 0. Cogroups in categories of asso­ HAGIS, Peter, Jr. and LORD, Graham. Unitary harmonic ciative algebras. Preliminary report, A-620; Tbe auto­ numbers, A-62. morphism class group of the category of rings over an HAGLER, James N. A cousin of a space of R. C. James. arbitrary commutative base ring. Preliminary report, Preliminary report, A-184; Example of Banach spaces A-703. which have James type norms, A-513. HAVAS, George. See ALFORD, William A. HAGOPIAN, Charles L. Mapping products of A connected HAYASHI, Elmer K. Factoring integers whose digits are continua into E2, A-431; Homogeneous star-like continua, all ones in base b, A-61. A-480; Nonseparating plane continua, A-583; The fixed­ HAYES, Charles A. A necessary and sufficient condition point property for homeomorphisms of almost chainable for the derivation of some classes of integrals, A-518. homogeneous continua, A-739. HAYES, David R. Singular elliptic modules of rank 1, HALBERG, C.J.A. ,Jr. On the fine structure of the spectra A-661. of certain classes of operators on the tp spaces. Prelimi- HAYES, stanley E. Natural deduction and lattice models

A-766 of some weak propositional logics, A-36. HERSTEIN, Israel N. The relation between normal sub­ HAYMAN, W. K. and WEITSMAN, A. W. Coefficients and groups and ideals in rings, A-401. means of functions omitting values, A-409. HEUVERS, Konrad John. A class of associative algebras HAYNE, Roger M. Uniqueness for the Cauchy problem generated by a unitary space. Preliminary report, A-563. for parabolic equations. Preliminary report, A-316. HEYWOOD, John G. On function spaces for viscous flow HAYS, John. Matrices for free lattice lattice logics. problems. Preliminary report, A-457. Preliminary report, A-647; Scalar and vector plausibility HICKERSON, Dean R., ALDER, Henry L. and MUWAFI, and feasibility measures for decision-making under un­ Am in A. Identities relating the number of partitions into certainty. Preliminary report, A-718. an even and odd number of parts, A-541. HAZLEWOOD, Donald. On ideals having only small HICKIN, K. K. and PLOTKIN, J. M. Some algebraic prop­ prime factors. Preliminary report, A-56. erties of weakly compact cardinals, A-325. HEATH, Larry F. Vector-valued entire functions of HIGGINS, J. C. Semilattices of topological semigroups. bounded index satisfying a differential equation, A-637. Preliminary report, A-103. HEATH, R. W. and SHER, R. B. ANE's and ANR 1s in HILDEBRANDT, Stefan, KAUL, Helmut and WIDMAN, monotonically normal spaces. Prelimina'1 report, A-586. Kjell-ove. Dirichlet's boundary value problem for har­ HEBERT, D. J. A uniform measure in L . Preliminary monic mappings of Riemannian manifolds. Preliminary report, A-684. report, A-738. HECHLER, stephen H. On the structure of open subsets HINDMAN, Neil. A note on partitions and sums of inte­ of {JN- N. Preliminary report, A-221. gers with repetitions, A-443. HECHT-NIELSEN, R. and WANG, A.P. Transport opera­ HINTON, Don. Principal solutions of positive linear tors, A-260. Hamiltonian systems, A-403. HEDRICK, Mark Blondeau. Permanental minors and HINTON, Don B. and LEWIS, Roger T. Discrete spectra critical points of the permanent relative to be set of doubly criteria for singular differential operators with middle stochastic matrices, A-476. terms, A-136. HEED, Joseph J. Entry points of recursive sequences, HffiSCHORN, Ronald. Topological groups and nonlinear A-444. control systems, A-418. HEEREMA, N. and DEVENEY, J. Galois theory using HffiSHON, Ronald. A cancellation theorem with applica­ higher derivations. Preliminary report, A-399. tions to nilpotent groups. Preliminary report, A-503. HEISEY, Richard E. Bounded weak-* manifolds, A-229. HITOTUMATU, Sin and SATO, Daihachiro. A simple HELGASON, Sigurdur. Invariant differential equations on proof of the star of David theorem. Preliminary report, homogeneous manifolds, A-113. A-297; Expansion of the Star of David theorem. Prelimi­ HELL, Pavol. Graphs with given achromatic number, nary report (II), A-377. A-297. HOBBS, Arthur M. Cycle-minimal graphs and vertices HELL, Pavol and MILLER, Donald J. On achromatic of low degree, A-445. numbers and graphs with forbidden quotients. Preliminary HOBBY, C. Finite p-groups, A-336. report, A-535. HOCHBERG, Murray. Doubly incomparable s-systems, HELLERSTEIN, Simon and WILLIAMSON, Jack. Deriva­ A-43. tives of entire functions and a conjecture of P6lya, A-406. HOCHSTER, Melvin. Homological questions in commuta­ HELTON, Jon and STUCKWISCH, Stephen. Numerical tive rings and Cohan-Macaulay modules, A-74; Cohan­ approximation of product integrals, A-521. Macaulay and Gorenstein rings of invariants, A-543. HELTON, Jon C. Mutual existence of product integrals HODEL, R. E. See BURKE, D. K. in normed rings, A-117; Product integrals and linear in­ HOEFER, Edwin T. Harmonic Faber polynomials. Pre­ tegral equations, A-386; Two generalizations of the Gron­ liminary report, A-146. wall inequality by product integration,A-512. HOEY, Dan and SHAMOS, Michael Ian. Efficient compu­ HENNEY, Dagmar. Properties of locally convex spaces tations in geometry, A-596. generated by classes of bounded sets, A-571. HOFFMAN, William C. In defense of the LTG/NP, A-599. HENNEY, Dagmar and LINCOLN, W. Locally convex HOFT, Hartmut. See HOFT, Margret. spaces generated by bounded sets, A-571. HOFT, Margret and HOFT, Hartmut. The fixed point HENRARD, J. Bifurcations in symmetric systems, A-350. property in partially ordered sets, A-540. HENRICI, Marie-Louise. The Lagrange-Btirmann for­ HOGAN, William W. Project independence evaluation sys­ mula for systems of formal power series. Preliminary tem, A-741. report, A-557. HOGGATT, Verner E., Jr. See ARKIN, Joseph. HENRICI, Peter. Fast algorithms for rational powers of HOGGATT, Verner E., Jr. and ALEXANDERSON, G. L. formal power series, A-594. Sums of partition sets in generalized Pascal triangles. HENRY, Daniel. Invariant manifolds for parabolic equa­ Preliminary report, A-440. tions, A-353. HOITSMA, David H. Existence and uniqueness of axi­ HENRY, M.S. and SCHMIDT, D. Continuity theorems symmetric free boundary flows, A-250. for product approximation operators. Preliminary report, HOLLEY, Richard and STROOCK, Daniel. Remarks A-510. about stochastic Ising models, A-683. HENSLEY, Douglas. Polynomials which take Gaussian HOLLINGSWORTH, J. G. and RUSHING, T. B. Embeddings integer values at Gaussian integers, A-619. of shape classes of compacta in the trivial range, A-526. HENTZEL, Irvin Roy. See FLOYD, Denis R. HOLLISTER, Herbert A. Structure of nilpotent .I.-groups. HENTZEL, Irvin Roy and CATTANEO, Giulia Maria Pia­ Preliminary report, A-538. centini. Semi-prime generalized right alternative rings, HOLMES, Charles S. Groups of order p3q with identical A-486. subgroup structures, A-109. HERDA, Hans-Heinrich. Characterization of spheres HOLSZTYNSKI, W. Extending cross-sections onto count­ among compact 3-bodies. II. Preliminary report, A-203. able unions, A-215. HERDMAN, Terry L. Local stability properties for a HOLTE, John M. Exponential limit law for critical non-linear Volterra integral equation, A-173. general branching processes, A-359, A-600. HERMANN, Robert. Equivalence of systems and infinite HOLUB, James R. strict convexity and orthogonality in Lie groups, A-418. Banach spaces. Preliminary report, A-182. HERMES, Henry. High order controllability conditions. HONG, S.J. See PREPARATA, F.P. Preliminary report, A-403. HOOBLER, Raymond T. An infinitesimal version of HERRE, Heinrich. Decidability of the theory of one unary purely inseparable Galois theory, A-399. function with the added quantifier "there exist at least HOOD, J. Myron and HOOD, Leroy. A mathematical N1 many", A-524. model of immunoglobulin evolution, A-264. HERRERO, Domingo A. More about closure of similarity HOOD, Rodney T. Rest points, tangent circles, and the orbits, A-460. rational number line, A-201. HERRMANN, C. and WILLE, R. On modular lattices HOOPER, Robert C. Locally compact subgroups of with four generators. II. Preliminary report, A-54. topological groups, A-28. HERRMANN, Robert A. The productivity of generalized HORN, A. See BALBES, R. perfect maps, A-655. HORN, Roger A. Quadratic forms in harmonic analysis

A-767 and the Bochner-Eberlein theorem, A-168. INFANTOZZI, Carlos A. A note on the foundations of se­ HOROWITZ, Bruce M. Set productive and arithmetically quential topology, A-213; Axiomatic systems for complex set productive sets. Preliminary report, A-358, A-490; numbers, quaternions and octonions, A-488; The lattice Arithmetically universal sets. Preliminary report, A-666. of the integral-domains, id. , of the Cayley-Dickson's in­ HOROWITZ, David. Coefficient estimates for univalent tegers, CDi, A-549; A generalized mean-value theorem polynomials, A-125. of the Stieltjes differential calculus, A-664; Convergence HOROWITZ, Larry. See HAGER, William. criteria for alternating series, A-735. HOUSTON, Johnny L. Locally nilpotent injectors and INSELBERG, Alfred. Mathematical model of a cochlea Plotkin groups, A-336, (inner ear) with variable geometry. The low frequency HOUTEN, Lorne. See GORDON, Basil. threshold, A-255. HOWARD, Fredric T, Factors and roots of the van der lSAACS, I. Martin. Brauer characters of solvable groups. Pol polynomials, A-266. Preliminary report, A-674. HOWARD, Joe and OSTLING, Edward. The topology of lSAACSON, Eugene. See BAYLISS, Alvin. uniform convergence on weak star null sequences, A-385, lSKANDER, Awad A. Locally finite ring variety, A-56. HOWARD, M. L. Universal operators and invariant sub­ lSMAIL, Mourad E. H. and KELKER, Douglas. TheBes­ spaces. Preliminary report, A-339. sell polynomials and the student t-distribution, A-131. HOWROYD, T.D. See MAXFIELD, John E. lSMAIL, Mourad El-Houssieny. Connection relations and HSIA, J. S. See EARNEST, A. G. bilinear formulas for the classical orthogonal polynomials, HSIA, Samson. See ELDRIDGE, Klaus E. A-313. HSIAO, George C. See BROWN, Patrick M. --. See AL-SALAM, Waleed A. HSU, Jh-Ching. A fundamental functional equation for lSRAEL, Marvin. Close piecewise linear codimension vector lattices, A-562. one embeddings. Preliminary report, A-230, HSU, In-Ding. An applicable Hopf bifurcation formula. ITZKOWITZ, Gerald L. Density character of locally com­ Preliminary report, A-ll; Existence and stability of pact groups. Preliminary report, A-ll3. periodic solutions for the Glass-Kauffman model. Preli­ JACKSON, David M. and REILLY, James W. The enu­ minary report, A-510; Global existence of periodic solu­ meration of homeomorphically irreducible labelled graphs, tions of the Glass-Kauffman model. Preliminary report, A-301. A-558. JACKSON, Lloyd. Some questions related to the existence HSU, In-Ding and KAZARINOFF, Nocholas D. Instability of solutions of boundary value problems, A-4ll. of small periodic solutions of the Field-Noyes model for JACO, William. Three-manifold groups-A Survey, A-732. the Belousov-Zaikin-Zhabotinskii reaction. Preliminary JACOB, R, T., Jr. A class of sequence spaces, A-458, report, A-ll; Existence and stability of periodic solutions JACOBOWITZ, Howard. Kaehler Gauss-Codazzi equa­ of a third order nonlinear autonomous system simulating tions. Preliminary report, A-206, immune response in animals, A-559. JACOBS, B. See GROETSCH, C. W. HU, H. T, and SIGMON, Kermit. Continuously factorable JACOBS, Barry E. a-complexity classes, A-24. groupoids. Preliminary report, A-563. JACOBS, John B. Triple forms and related Lie algebras. HUANG, Ter-Jenq. On equicontinuous transformation Preliminary report, A-95. group. II, A-ll2. JACOBSON, Steven. Analytic capacity of open sets, A-122. IillANG-lVIUELLEH, Julia. Primes in short intervals. JAIN, S.K. See GOEL, S.C. Preliminary report, A-706. JAMES, Robert C. Nonisomorphism of J and J*, A-630. HUCKABAY, Gary M. Expansive homeomorphisms on JAMJSON, Benton and SINE, Hobert. Unique ergodicity separable metric spaces, A-479. for a learning model, A-664. HUDSON, W.N. and MASON, J.D. Moreonequivalence JAMJSON, J.E. See FLEMING, R.J. of infinitely divisible distributions, A-233. JAMJSON, James. See BERKSON, Earl. HUDSON, William N. and TUCKER, Howard G. On ad­ JAMJSON, Robert E. A general theory of convexity, missible translates of infinitely divisible distributions, A-473. A-233. JANOS, Ludvik. On the Edelstein contractive mapping flUFF, Robert E. and MORRJS, Peter D. Geometric theorem, A-207; Compactifications of self-bijections, characterizations of the Radon-Nikodym property, A-15. A-331; Some inequalities concerning the frequency spec­ HUGGINS, Frank N. Bounded slope variation and general­ trum of vibrating systems. Preliminary report, A-627. ized conve,.'ity, A-469; Some interesting properties of the JATEGAONKAR, Arun V. Morita duality and Noetherian variation function, A-637. rings. Preliminary report, A-398. HUGHES, Rhonda J. Semi-groups of unbounded linear JAWOROWSKI, Jan. Euclidean G-retracts. Preliminary operators in Banach space. I. A-463. report, A-423. IIUMI, M. and LEBRITTON, J.A. Interior solutions to JAWORSKI, Allan. The discrete Bebutov dynamical sys­ plane symmetric Einstein-Maxwell equations., A-252. tem, A-2ll. HUMKE, Paul D. See EVANS, Michael J. JAYACHANDRAN, M. A common method of attack to HUMPHREYS, J. E. On the analogues of Verma modules some open problems in scattered spaces. Preliminary re­ in characteristic p. Preliminary report, A-95; A family port, A-585, of indecomposable modules. Preliminary report, A-550. JAYACHANDRAN, M. and RAJAGOPALAN, M. Scattered HUNT, L. R. Uniqueness of analytic continuation on a compactifications, A-209; On two problems of M. E. Rudin real hypersurface in 11)2, Preliminary report, A-129 and J.J. Schaffer in scattered spaces. Preliminary re­ HUNT, L.R. and STRAUSS, M.J. On Holmgren's theorem. port, A-359, Preliminary report, A-143. JECH, Thomas. Almost disjoint families of stationary HUNT, Richard A. Interpolation of operators and a. e. sets. Preliminary report, A-647. convergence of Fourier series. Preliminary report, A-167; JEFFCOTT, Barbara. See SPEARS, William. Problems related to the a. e. convergence of Fourier series. JEFFCOTT, Barbara and SPEARS, William. Semimodu­ Preliminary report, A-416. larity in the completion of a poset, A-55. HURD, A. E. Nonstandard methods in combinatorics and JEFFERS, E. See BURRIS, S, grapby theory. Preliminary report, A-50. JELTSCH, Half. On universally uniform bounds for the HURSCH, J.L., Jr. Edge-3-colorability of certain graphs, matrix e..'qlonential. Preliminary report, A-299; stiff sta­ A-3; Edge-3-colorability of certain graphs II, A-537. bility of multistep multiderivative methods, A-642. HUSCH, Lawrence s. Diffeomorphisms of 3-manifolds JENKINS, James A. The mapping of strip domains, A-414. which are homotopy equivalent to s1, A-228. JENSEN, Gary. Imbeddings of stiefel manifolds into HUTCHINSON, George. Embedding and unsolvability theo­ Grassmannians, A-204. rems for modular lattices, A-450, JEROME, J.W. See FISHER, S.D. HUTCHINSON, Joan P. See ALBERTSON, Michael 0. JEROSLOW, Robert G. Cuts from logical conditions, IMRICH, Wilfried and WATKINS, Mark E. On automor­ A-321; Relaxations from logical conditions, A-389; Mini­ phism groups of Cayley graphs. Preliminary report, A-47. mal inequalities, A-471; Subadditive duality for integer INDIK, Robert. See PLESS, Vera. programs, A-520; Finite basis theorems for integer vari­ INFANTE, Ronald. The structure of strongly normal dif­ ables: I, A-641; Finite basis theorems for integer vari­ ference field extensions. Preliminary report, A-70. ables: II, A-713.

A-768 See BALAS, Egan, KAPLAN, James L. See FREEDIIIAN, Marvin I. See BLAIR, C, E. KAR. Samir. The (Hl, 1) rectifiable subsets of a homo­ JERRARD, R. P, A stronger invariant for homology geneous space without rotation, A-232. theory, A-656, KARLOF, John, The subclass algebra associated with a JETER, Melvyn W. See PYE, W. C. finite group and subgroup. II, A-105. JOCh.lJSCH, Carl G., Jr. Degrees of generic sets. Pre­ KARLOVITZ, Les A. On nonexpansive mappings, A-18, liminal'Y report, A-421. KARP, Samuel N. Sec 1\IORGAN, Richard C. JOHANSON, Arnold. A symmettic two-body problem in KARH, Alan F. Levy random measures, A-593. Whitehead's theory of relativity, A-487. KAHTSATOS, Athanassios G. Equations possessing at JOHN, Flitz, A priori estimates, geometric effects, and most one positive solution. Prelimina1-y report, A-Hi; asymptotic behavior, A-163. Oscillation for pertubations containing the solution, A-518. JOHNSON, Charles R. Estimation and computation of the KAHTSATOS, Athanassios G. and ZIGLEH, \V. H. Rothe's numerical range, A-593, method and existence of weak solutions of evolution equa­ JOHNSON, E. L, See HAMMEH, P. L. tions, A-634, JOHNSON, George, Two-term linear differential opera­ KAHUNAKARAN, T. Functo1ial approach to networks. tors. Preliminary report, A-353, Prelimina1-y report, A-521. JOHNSON, Jer1-y A, Extreme Lipschitz functions, A-179. KARUNAKARAN, V. A subclass of functions of positive JOHNSON, Marjory J. Chain conditions on regular near­ real part, Prelimina1-y report, A-314. rings, A-87, KATZNELSON, Yitzhak and McGEHEE. 0. Carruth. JOHNSON, R. Warren. A decomposition of free Lie alge­ Some sets obeying harmonic synthesis, A-352. bras, A-349. KAUFMAN, Gordon M. See BAROUCH, Eytan. JOHNSON, R. Wells, On the distribution of quadratic KAUL, Helmut. See HILDEBRANDT, Stefan. residues, A-66, KAUL, Veena. Optimal approximations in Hilbert ,;paces JOHNSON, Roy A. A decomposition of measures. Prelimi­ intcrpolatol'Y for a pro-assigned set of functions. A-fi39. nary report, A-116; A decomposition theorem for product KAY, David. Arc curvature in metric spaces, A-576. measures, A-487. KAY, David C. and l3HE EN, Marilyn. C'..encral decompo-· JOHNSTONE, Peter. Internal algebraic theories in a sition theorems for 111 -convex sets in the plane. A--203, topos, A-668, KAZARINOFF, Mcholas D. See HSU, Tn-Ding·. JONES, Burton W. Quasi-genera of quadratic forms, A-61, KEAGY, Thomas. A Tauberian theorem for rearrange­ JONES, James P. Diophantine representation of the set of ments. Prelimina1-y report, A-385; Matrix transforma­ prime numbers, A-326. tions and absolute summability. Prelin1ina1-y report. A-46~. JONES, John, Jr. Zeros of continuous real-valued !'unc­ KEELER, Emmett B. and SPENCEH, Joel IL Backgam­ tions. Prelimina1-y report, A-246; Zeros of continuous real­ mon doubling strategy. A-255. valued functions II. Preliminary report, A-595. KEEN, Linda. On real Teichmullcr spaces and their JONES, Leslie P. The signature of symplectic manifolds. modular groups, A-130. Preliminary report, A-528. KEENE, Frederick \V. A Planchercl theorem for A?'\. JORDAN, G. S. and WHEELEH, Robert L. Asymptotic A-168. behavior of unbounded solutions of linear Volterra integral KEENER, Marvin S. Oscillation theory for nt11-orclcr and integrodifferential equations, A-172. linear differential equations, A-411. JOSHI, C. M. and PRAJAPAT, M. L. On some properties KEESLING, James. Algebraic invariants in shape theory. of generalized Hermite polynomials, Preliminary report, A-341. A-10. KEGLEY, J. Colby and CHAMEH, \\'alter J. 0

A-16~1 KETONEN, Jussi. Some remarks on ultrafilters. Preli­ ---. See SEGAL, Jack. minary report, A-325. KRACHT, Manfred and KREYSZIG, Erwin 0. Construction KEYFITZ, Barbara. Formation of a shock from a com­ of equations for polynomial kernels, A-514; Differential pression wave. Preliminary report, A-146. operators for certain partial differential equations, A-626; KEYNES, H. B. Real prime flows, A-208. Pairs of Bergman operators with polynomial generating KEYNES, H. B. and NEWTON, Dan. Ergodic measures functions, A-710. for compact group extensions,A-489. KRAFCIK, Thomas. The subgroup lattice for groups of KHALIL!, Siamak. Independently scattered measures, order p2q and p3, A-105. A-12. KREIMER, H. F. Hopf algebras and Galois cohomology. KHAN, Musharrafuddin. See SINGH, S. Preliminary report, A-400. KHARAGHANI, H. The support of an invariant mean, KREITH, Kurt. Nonselfadjoint fourth order differential A-568. equations with conjugate points, A-132. KIDWELL, Mark E. A non-interchangable link, A-392; ---. See EDELSON, Allan. The Alexander polynomial of a link in a solid torus, A-652. KRENER, Arthur J. structoral stability of control sys­ KILTINEN, John 0. On countably extending ring topolo­ tems. Preliminary report, A-407. gies, A-110. KREYSZIG, Erwin 0. Chebychev polynomials as Berg­ KIM, Jin Bai. Induced transformations on exterior prod­ man generators, A-13. uct spaces, A-83. ---. See KRACHT, Manfred. KIM, Joong Ho. Completion of local ring which is not KRISHNAN, V. K. Gap Tauberian theorems for logarith­ noetherian. Preliminary report, A-78. mic summability (L), A-464. KIM, S. K., McGAVRAN, D. and PAK, J. On the fixed KRISHNAN, V. S. Structored categories and projection point indices and Nielsen numbers. Preliminary report, functors. Preliminary report, A-99. A-225. KRZYWOBLOCKI, Maria z. v. Wave mechanics-macro­ KIMBERLING, Clark. Generalized cyclotomic polyno­ scopic fluid dynamics approach to torbulence, A-598; mials and the irreducible factors of Fibonacci polyno­ Quantum mechanics-deterministic fluid dynamics approach mials, A-69; Semipermutability of Chebyshev polynomials to torbulence past circular cylinder, A-681. of the second kind, A-543. KU, Mei-Chin. Topological degree of symmetry of a KINCH, Dennis F. Partitions and representations of the produce manifold. Preliminary report, A-527. hyperoctahedral groups. Preliminary report, A-106. KUEBLER, Robin and REID, J.D. On a paper of Richman KING, J. T. See FALK, R.S. and Walker, A-107. KING, P. L. Local combinatorial pontrjagin classes, KUEKER, David W. Game sentences and models with A-228. many automorphisms. Preliminary report, A-475, KIRK, W.A. Carisit's fixed point theorem and metric con­ KUELBS, James. The law of the iterated logarithm for vexity. Preliminary report, A-576. Banach space valued random variables, A-234. KISHORE, Masao. Odd almost perfect numbers. Preli­ KUGEL, Peter. The range of a totally computable func­ minary report, A-380; Quasiperfect numbers are divisible tional is finite, A-325. by at least six distinct prime factors. Preliminary re­ KUIPERS, Lawrence. Asymptotic distribution mod m port, A-·141; On the equation k,P(M) •• M- 1, A-501; An and the notion of independence, A-59. odd perfect number not divisible by 3 has at least ten KULKARNI, Ramesh M. and LAD DE, Gangaram S. Sys­ prime factors, A-734. tems of functional differential inequalities and applications. KLAMKIN, Murray S. See NASH, David H. Preliminary report, A-352. KLASSEN, Gene A. See DOLAN, J. Michael. KULKARNI, Ravindra S. Infinite regular coverings, KLASSEN, Vuryl J. Flow from a generalized sluice gate space forms and Kleinian groups. Preliminary report, under gra\ity, A-429. A-578. KLEIMAN, Howard. Theorems on hamilton lines and four KULKARNI, Ravindra S. and WOOD, John W. Topology coloring. I, A-704. of non-singular complex hypersurfaces, A-687. KLEITMAN, Daniel J. and GREENE, Curtis. Another KUNEN, Kenneth. On the cardinalities of compact spaces. proof of Brooks' theorem. Preliminary report, A-533. Preliminary report, A-212; What good are ultrafilters?, KLEMBARA, Michael A. On the canonical sets of sub­ A-422. groups induced by a Fitting class F. Preliminary report, KUO, Hui-Hsiung. Potential theory associated with Uhlen­ A-108. beck-Ornstein process, A-126. KLETlVlAN, Howard. Theorems on Hamilton lines, A-617. KUPERBERG, Wlodzimierz. See COOK, Howard. KNIGHT, Julia F. Types realized in all models of powe·r KURSHAN, R.P. See GOPINATH, B. N.), A-35. KURTZ, Thomas G. An abstract averaging theorem, K.'~;s. Preliminary report, A-96. LADDE, Gangaram S. Time-delay interconnected sys­ KORANYI, Adam and VAGI, Stephen. Inner functions on tems and extensions of Lyapunov's direct method. Pre­ bounded symmetric domains, A-407 liminary report, A-133; stability of model ecosystems KOSCHORKE, Ulrich. Indices of framefields with finite with time-delay. Preliminary report, A-263. singularities, A-230. ---. See h.lJLKARNI, Ramesh M. KOSTKA, D. G. On the Erdl!s-Feller criterion, A-242. LADY, Everett Lee. Endomorphism rings of finite rank KOTLARSKI, lgnacy I. On characterization of probability torsion free abelian groups. Preliminary report, A-396. distributions by conditional expectations, A-592. LAGRANGE, Robert. The counting problem for super­ KOTTMAN, Clifford. On the other side of nearest points, atomic Boolean algebras, A-503. A-180. LAKIEN, Eric. Nonfactorization in Segal algebras on KOZLOWSKI, George. Hereditary shape equivalences in compact abelian groups. Preliminary report, A-634. Hilbert cube manifolds. Preliminary report, A-342. LAKSER, H. See GRATZER, G.

A-770 LAKSHMIKANTHAM, V. and LEELA, S. On the zeros of LEE, Sa-Ge. Extreme points of the shell of a linear rela­ nonlinear operators on closed subsets of a Banach space. tion. Preliminary report, A-317. Preliminary report, A-135. LEE, Tai-Chi. Boundary value problems for second or­ LAKSHMIKANTHAM, V., MITCHELL, A. Richard and der ordinary differential equations and applications to MITCHELL, Roger W. Differential equations on closed singular perturbation problems. Preliminary report, subsets of a Banach space. Preliminary report, A-135; A-487. Maximal and minimal solutions and comparison results LEE, Will Y. On the correctness class of the Bessell for differential equations in abstract cones. Preliminary type differential operator Sl-l. Preliminary report, A-151. report, A-135. LEELA, S. See LAKSHMIKANTHAM, V. LAKSHMINARASIMHAN, T.V. See BALASUBRAHMAN­ LEFTON, Phyllis. Trinomials with Galois group con­ YAM, P. tained in An. Preliminary report, A-63. LAMAR TIN, W. F. Epics in the category of T2 k-groups LEGGETT, Richard W. On certain nonlinear integral need not have dense range, A-345. equations. Preliminary report, A-413. LAMBERT, Alan. Equivalence for groups and semi­ LEHMER, D. H. First factors of cyclotomic class num­ groups of operators, A-188. bers, A-659. ---. See EMBRY, Mary R. LEHMER, D. H. See GRAHAM, R. L. LAMBERT, Howard. Unknotting links in s3 by maps, LEHRER, Gustav I. Classical groups and incidence struc­ A-424; Longitude surgery on genus 1 knots. Preliminary tures. Preliminary report, A-383. report, A-530. LEISE, James A. See TORTORELLA, Michael. LAMBRINOS, P. Th. Quasi-uniform characterizations of LELAND, Kenneth 0. An interactive program for several (weak) boundedness and (weak) compactness. Preliminary algorithms for winding numbers, A-247. report, A-654; Locally bounded topological spaces, A-733. LELEK, A. See GRISPOLAKIS, J. LANDRAITIS, Charles. Lw1w equivalance of countable LENllfAN, William J. The ordered reachability problem and uncountable orderings. Preliminary report, A-327. is unsolvable. Preliminary report, A-24; The existential­ LANE, Ernest. An insertion theorem for perfectly normal GtJdel-Rosser theorem. Preliminary report, A-327. spaces. Preliminary report, A-482, A-689. LEPOWSKI, James. Existence of conical vectors in in­ LANG, George E. ,Jr. Localizations and Gn(X), A-226. duced modules, A-96. LANGAN, Thomas J. Nonuniqueness problems associated LERMAN, Manuel. Congruence relations and definability with hyperbolic partial differential equations, A-662. in lattices of a-recursively enumerable sets, A-420. LANGFORD, Eric. Problems of Kuratowski type involving LESKA, Charles J. Covering and matching problems as unions and intersections, A-485. integer linear programs, A-253. LANOUE, T.J. An alternative method for approximating LESLEY, F. David. Once is not enough, A-737. the potential and gradient at any point between an insulated LESNIAK, Linda. Some recent results in hamiltonian cable to plane, A-426. graphs, A-47. LANOUE, T. J., BOAZ, V. L. and ALI, Mir M. A mathe­ LESNIAK, Linda, POLIMENI, Albert D. and VANDER­ matical method for approximating the potential and gradient JAGT, Donald W. Degree sets and traversability, A-42. at any point between an insulated cable to plane, A-261. LESTER, Jerry. Well-capped structure of L]_(S,u), A-18. LANSKI, Charles. Rings with involution whose symmetric LESTER, June A. A characterization of certain multi­ units are Abelian. Preliminary report, A-396. plicative homomorphisms, A-564, A-689. LARDY, L. J. and OSBORN, J. E. An example concerning LEUNG, Antbony. A model for N-predators with 1-prey. the Ritz method. Preliminary report, A-246. Preliminary report, A-321. LARSEN, R.D. and MADYCH, W.R. Walsh-line expan­ LEUNG, D. S. P. and NAGANO, T. Riemann curvature sions and Hadamard matrices. Preliminary report, A-162. tensors and critical values of sectional curvature func­ LARSON, Glenn and SATO, Daihachiro. Simultaneous tions, A-578. equal product and GCD properties of sets of binomial co­ LEVENGLICK, Arthur. Characterizations of a social efficients. Preliminary report (I), A-508. decision function. Preliminary report, A-321. LARSON, Roland E. The height of the lattice of finite LEVENTHAL, Stephen and AZIZ, A. K. On the numerical topologies, A-216. solution of equations of hyperbolic-elliptic type, A-596. LASKAR, Renu. See DUNBAR, Jean. LEVIKSON, Benny. Random selection forces in infinite LATCH, Dana May. A uniqueness theorem for homology in diploid populations, A-263. C-at, the category of small categories, A-225; A (weak) LEVINE, Daniel. See GROSSBERG, Stephen. homotopy inverse for the functor nerve, A-589; A unique­ LEVINE, Howard A. Growth properties of solutions to a ness theorem for homology of small categories with arbi­ nonlinear Euler-Poisson-Darboux equation, A-148. trary coefficients, A-672. LEVINE, Lawrence E. and OBI, Wilson C. Multi variable LA TORRE, D. R. A construction of the idempotent-sepa­ expansions using time scales generated from differential rating congruences on a bisimple orthodox semigroup, equations. Preliminary report, A-354. A-107. LEVOW, Roy B. On chromatic numbers of nearly planar LAU, A. Y. W. Peano semilattices and n-cells. Prelimi­ graphs. Preliminary report, A-536. nary report, A-332. LEVY, Ronnie Fred. A countable space with no point of LAVER, Richard. A theorem and a consistency theorem first countability. Preliminary report, A-26; Path con­ on bqo's, A-306, nectedness properties of remainders of compactifications. LAWN, Samuel D. The asymptotic behavior of sums of Preliminary report, A-332; Almost-P-spaces and Lusin's multiplicative functions. Preliminary report, A-65. hypothesis, A-582. LAWRENCE, DavidS. Continuous dilemma games. Pre­ LEWIS, John L. Examples of subharmonic functions in liminary report, A-21. space, A-404. LAWRENCE, John. Semiperfect group rings. Preliminary LEWIS, Paul. Absolutely summing and mapping proper­ report, A-88. ties of representing measures, A-117. LA WRUK, Bohdan. One partial differential equation with LEWIS, Roger T. The existence of conjugate points for transformed argument, A-559. self-adjoint differential equations of even order, A-725. LAWVERE, F. W. Variable sets, topoi and etendu, A-675. ---. See HINTON, Don B. LAX, Melvin D. and BOYCE, William E. The method of LI, Tien-Yien. See KELLOGG, R. Bruce. moments for linear random initial value problems, A-422. LIBERA, R.J. and ZLOTKIEWICZ, E.J. Loewner-type LAX, Peter D. Survey of problems in the theory of shock approximations for convex functions. Preliminary report, waves, A-154. A-455; Loewner's differential equation for spirallike func­ LAZAR, Aldo J. Extreme points of convex bodies in t 2 , tions. Preliminary report, A-509. A-312. LICK, Don R. See HARARY, Frank. LAZER, Alan C. See AHMAD, Shah·. LIEBERMAN, Arthur. Entropy of states of a Gage space, LEACH. See CLARK. A-462. LEBRITTON, J.A. See HUMI, M. LIEBERMAN, David J. See CARRELL, James B. LEE, Cheng-Ming. On functions with summable approxi­ LIEN, Y. Edmund. A theorem on strongly connected mate Peano derivative. Preliminary report, A-554. digraphs. Preliminary report, A-44. LEE, Lawrence A. Reflectors and chromatically equiva­ LIEPINS, Gunar E. A Paley-Wiener theorem. Prelimi­ lent graphs. Preliminary report, A-723. nary report, A-169.

A-771 LIM, Chong-Keang. On graphical regular representations LOUDEN, Kenneth C. Torsion theories, ring extensions, of direct product of groups, A-299. and group rings. Preliminary report, A-378, A-600. LIM, T. C. A remark on a fixed point theorem. Prelimi­ LOVELADY, David Lowell. The structure of oscillatory nary report, A-319. solutions of third order linear differential equations, LIN, B. L. See CASAZZA, P. A-142. LIN, Michael and SINE, Robert. Stepanoff flows on com­ LOVELAND, L. D. Continuous finite Apollonius sets in pact manifolds, A-352. metric spaces, A-480. LIN, T. F. Existence of Markov processes associated LOVELAND, L.D. and VALENTINE, J.E. Using 0-di­ with noncontraction semigroups, A-237. mensional Apollonius sets to characterize intervals and LINCOLN, W. See HENNEY, Dagmar. geodesic circles, A-643. LINDAUER, Judith G. See WOLF, Carol E. LUBIN, Arthur. Isometries induced by composition LINDBERG, John A., Jr. Renorming a normed algebra operators, A-573. having a semi-group of near isometrics. Preliminary re­ ---. See BALL, Joseph. port, A-181. LUH, Jiang. See WANG, Johnson C. K. LINDGREN, William F. Quasi-metrizable spaces, A-732. LUH, Shou-Jen Hu. Classifications of G-foliations. Pre­ LINDNER, Charles C. A partial steiner triple system of liminary report, A-483. order n can be embedded in a Steiner triple system of or­ LUM, Lewis. Weakly smooth continua, A-214. der 6n + 3, A-43, LUNING, C. D. and PERRY, W.L. Existence of solu­ LING, W. H., McLAUGHLIN, H. W. and SMITH, M. L. Ap­ tions for a nonlinear boundary value problem for a rotating proximation of random funetions. Preliminary report, string, A-658. A-161. LUTZER, D.J. Metrization theorems, Preliminary re­ LINTON, Ronald C. Fully invariant subgroups of primary port, A-731. abelian groups, A-337. LYONS, Carter. Finite groups with semisimple endo­ LIPKIN, Leonard J. On a singular parabolic operator. morphism rings, A-83. Preliminary report, A-145. LYONS, R. See BURGOYNE, N. LIPPA, Erik. Heeke eigenforms of degree two: Dirichlet MACBAIN, John Alan. Bifurcation from normal eigen­ series and Euler products, A-674. values. Preliminary report, A-428; Existence of large LIPSCOMB, Stephen Leon. An imbedding theorem for solutions to nonlinear operator equations. Preliminary metric spaces, A-393. report, A-572. LIPSKIE, Larry. Generic G-structures. Preliminary re­ MACCHIA, Roberto. An extension of the inverse function port, A-579. theorem. Preliminary report, A-483; On roots of dif­ LIU, C. L. Approximation algorithms for discrete optimi­ ferentiable functions. Preliminary report, A-554. zation problems, A-597. MACDONALD, John L. Kan extensions of a generalized LIU, Kuang Chi. An asymptotic formula for the twisted cohomology theory, A-675. product of distributions. Preliminary report, A-356; The MACGREGOR, T.H. See COCHRANE, P.C. Weyl transform of distributions. Preliminary report, A-664. MACKEY, Karen E. and BARNES, Bruce H. A general­ LIU, Tai-Ping. Entropy condition for general systems of ized measure of dependence and its relation to the Kro­ hyperbolic conservation laws, A-153; Solution in the large necker product of graphs. Preliminary report, A-536. for nonisentropic gas equations. Preliminary report, A-518. MAC LANE, Saunders. Topology and logic as sources of LIU, Tsai-Sheng. Oscillation of even order delay differen­ algebraic ideas, A-261. tial equations. Preliminary report, A-408; Oscillation of MACLEAN, William P. See SIMANAITIS, D.J. bounded solutions of even order differential equations with MADYCH, W.R. See LARSEN, R.D, retarded arguments. Preliminary report, A-466; Integra­ MAGID, Andy. The Galois theory of commutative rings, bility of nonoscillatory solutions of a delay differential A-400; Analytic left algebraic groups, A-545. equation, A-517. k ---. See FAUNTLEROY, Amassa. LLAVONA, Jose L. Gonzalez. Approximation by C -func­ MAGILL, K. D., Jr. Embedding semigroups into semi­ tions. Preliminary report, A-319; Bornologies of approxi­ groups of closed relations. Preliminary report, A-719. mation. Preliminary report, A-463. MAGILL, K.D. ,Jr. and SUBBIAH, S. Regularity and LLOYD, Justin T. See BYRD, Richard D. Green's relations for sandwich semigroups. Preliminary LLOYD, Stuart P. On the mean ergodic theorem of Sine, report, A-102; Sclrt!tzenberger groups of _M':..classes con­ A-175; Rohlin theorem in the noninvertible case, A-555. taining finite-to-one functions. Preliminary report, A-347. LLOYD, Stuart P. and SINE, R. C. Lorentz manifolds and MAR, Peter F. and NAIMPALLY, S.A. Open and uni­ retarded Markov operators. Preliminary report, A-238. formly open mapping theorems, A-206. LOATMAN, Bruce. Functions continuous in some compact MAHER, Marzuq H. Necessary and sufficient conditions metric topology. Preliminary report, A-210. for integrability of certain cosine sums, A-513. LOATS, James T, On compactness and ordinals, A-480. MAHER, Richard J. Strong liftings in topological mea­ LOEBL, Richard I. Contractive linear maps on C*-alge­ sured spaces. Preliminary report, A-555. bras. Preliminary report, A-456. MAHMOODIAN, E. On a method of attacking some com­ LOGAN, J.David and BLAKESLEE, JohnS. An invariance binatorial problems. Preliminary report, A-40. theory for second-order variational problems. Prelimi­ MAHONY, L. M. Sphere packing and crystallographic nary report, A-310, groups, A-706. LOHMAN, B, See CASAZZA, P. MAKKAI, M. and REYES, G. E. Grothendieck toposes as LOMAX, Ron, See BARNES, John. infinitary first order theories, A-671. LONGMAN, Joyce. Scalar dependent algebras in the alter­ MAKOWSKY, J.A. Beth's theorem in Ll.-logics, A-33. native sense. Preliminary report, A-1; Flexible rings MALKEVITCH, Joseph. Almostpancyclicplanar graphs. satisfying (w,x2,z) ~ X·(w,x,z) + (x,x,[w,z]). Preliminary Preliminary report, A-452. report, A-298; On almost alternative algebras. Prelimi­ MALLORY, William R. A special case of the Kummer nary report, A-378. function, A-457. LONGYEAR, Judith Q. Tactical constructions, A-504; MALONE, J,J. Endomorphism near rings that are rings. Common transversals for any number of partitioning fami­ Preliminary report, A-87. lies, A-532; Some isomorphisms between pairs of latin MALVIYA, Banshi D. Modular annihilator A*-algebras. squares, A-612; When is a Hadamard equivalent to a type I Preliminary report, A-484. Hadamard matrix?, A-672. MANDELBAUM, R. and MOISHEZON, B. On the topologi­ LOOMIS, Irene and WARNE, R. J. Right generalized cal structure of algebraic surface in cp3, A-360. w-..Y'-unipotent bisimple semigroups, A-614. MANDELBERG, Kenneth. See FINKELSTEIN, Harold. LORD, Graham. See HAGIS, Peter, Jr. MANEKI, Alfred P. On permutation of groups, Prelimi­ LORD, M. E. and MITCHELL, A. Richard. A new approach nary report, A-49. to the method of nonlinear variation of parameters. Pre­ MANICKAM, S. structure of symmetric shock reflection liminary report, A-137. with an isothermal energy release hypothesis, A-356. LOSEY, Gerald 0. See GRAHAM, George P., Jr. MANOCHA, Jitendra N. u-noetherian rings and u-artinian LOTZ, Heinrich. The Radon-Nikodym property in dual rings. II, A-85; stable TTF classes, A-298. Banach lattices. Preliminary report, A-571. MANVEL, Bennet. Reconstruction using colored

A-772 subgraphs, A-308, McCONNELL, John. On simple associative algebras MARCHETTO, Dennis A. stepanoff-like flows on compact arising from solvable Lie algebras, A-89. orientable surfaces of genus h ~ 2, A-361. McCOY, Peter A. On the zeros of solutions of elliptic MARCUS, Brian H. Unique ergodicity of some flows re­ partial differential equations V21/t+ A(r2)X·Vf+ C(r2)1,t = 0 lated to axiom A diffeomorphisms, A-233; Ergodic prop­ in three real variables. Preliminary report, A-354. erties of horocycle flows. Preliminary report, A-687. --. See MARDEN, Morris. MARCUS, Marvin. Adjoints and the numerical range, McCOY, Robert A. First category function spaces under A-81; BUinear functionals on the Grassmann manifold, the topology of pointwise convergence, A-214. A-546. McCOY, T. L. Some necessary conditions for inner func­ MARDEN, Morris. See FRYANT, Allan. tions, A-415, MARDEN, Morris and McCOY, Peter A. Level sets of McCRACKEN, Marjorie M. See MARSDEN, Jerrold E. polynomial..s in n real variables, A-120. McDERMOTT, Terrence S, Sequential convergence in MARDESIC, Sibe. See GORDH, G.R. ,Jr. locally convex spaces, A-187. MARIA, Narendra L. Elementary solutions of P(D), A-149. McDILL, Jean Marie. Epireflective subcategories in con­ MARKOE, Andrew G. Invariance of holomorphic convex­ crete categories. Preliminary report, A-97. ity under proper maps, A-130. McDONALD, John N. Extreme linear operators on H00 , MARSDEN, Jerrold E. and McCRACKEN, Marjorie M. A-176. Hopf bifurcation and results of Ruelle-Takens, A-351. McFARLAND, Robert L. and RICE, Bart F. Translates MARSHALL, Donald E. See BERNARD, Alain. and multipliers of abelian difference sets, A-445. MARSHALL, Donald E. and O'FARRELL, Anthony G. McGAVRAN, D. See KIM, S. K. Uniform approximation by real functions, A-629. McGEHEE, 0, Carruth. See KATZNELSON, Yitzhak. MARSHALL, Murray A. Local-global principles for for­ McGEHEE, Richard. See ARMSTRONG, Robert. mally real fields. Preliminary report, A-71. ---. See EASTON, Robert, MARTIN, Donald A. Borel determinacy, A-36. McGRATH, Joseph F. Invariant imbedding applied to a MARTIN, Harold W. See BENNETT, Harold R. class of Fredholm integral equations. Preliminary report, MARTIN, John C. Generalized Morse flows on n sym­ A-173. bols, A-212. McGRATH, Stephen A. An Abelian ergodic theorem for MARTIN, Robert. Nilgroups of finite Abelian groups. semigroups in Lp space, A-572; On the local ergodic Preliminary report, A-349. theorems of Krengel, Kuboka~a, and Terrell, A-725. MARTIN, William R. and DUDERSTADT, James J. Com­ McKENNON, Kelly. See FRIC, Roman. putational techniques in nuclear reactor analysis, A-659. McKIERNAN, M.A. Characterization of null cone pre­ MARTINEZ, Jorge. Doubling chains, singular elements serving maps by functional equations, A-566, and hyper-J' .e-groups, A-53; Pairwise splitting lattice­ McLAUGHLIN, H.W. See LING, W.H. ordered groups. Preliminary report, A-537. McLAUGHLIN, Joyce R. An inverse eigenvalue problem MARTY, Roger. Metrizability of dyadic spaces. Preli­ of order four,A-132. minary report, A-653. McLAUGHLIN, T. G. Simultaneous embeddings into special MARXEN, Donald. Neighborhoods of the identity of the subclasses of AzR• A-31; Finiteness predicates for free abelian topological group, A-112; Quotients of uniform A(Z), A-420. semigroups, A-552. McMAHON, Douglas and WU, T. S. On the connectedness MARYLAND, Wallace. See BUTLER, Kim Ki-Hang. of homomorphisms in topological dynamics. Preliminary MASANI, P.R. Generalizations of P. Levy• s inversion report, A-211. formula, A-171. McMILLAN, Daniel R., Jr. Movability in three-mani­ MASAT, Francis E. A generalization of right simple folds, A-342. semigroups. Preliminary report, A-107, A-362. ---. See ANCEL, Fredric D, MASKIT, Bernard. On the classification of Kleinian McNAMARA, J.N. Compact categories, A-382. groups, A-556. McNULTY, George. Undecidable properties of finite sets MASON, J.D. See HUDSON, W.N. of equations. II, A-35. MASSEY, Frank J. III. Analyticity of solutions of non­ McVOY, John Michael. Weakly closed abelian algebras linear evolution l!lluations, A-155; Semilinear parabolic which are not self-adjoint need not be singly generated, equations with L1 initial data, A-680. Preliminary report, A-190. MATHER, David P. Commutativity properties of contin­ MEDEIROS, L.A. and MENZALA, G. Perla. On a modi­ uous operators on the space of entire functions, A-195, fied Korteweg-de Vries equation. Preliminary report, MATHIS, Frank H. Difference methods for optimal con­ A-460; On a nonlinear dispersive equation,A-711. trol problems described by functional equations. Preli­ MEDINA, Elena M. and CHWE, Byoung-Song. A note on minary report, A-727. idealizers of terms of the ideal closure series of subalge­ MATULA, David W. Digit sets for radix representation bras of Lie algebras. Preliminary report, A-96. of the integers, A-657. MEEKS, William H. III. Periodic minimal surfaces in MAULDIN, Dan. Nonisomorphic analytic sets. Prelimi­ Rn. Preliminary report, A-579. nary report, A-729. MEHRAN, H. A. On h-algebraically compact torsion MAXFIELD, John E. On left-handed, right-handed and modules over bounded (hnp)-ring, A-624. two-sided primes, A-61. MEKLER, Alan. The size of epimorphic extensions, A-714. MAXFIELD, John E.• and HOWROYD, T. D. Some func­ MELLENDER, J. W, Two exponential diophantine equa­ tional equations defined by the infimum. Preliminary re­ tions. Preliminary report, A-308, port, A-563. MELVIN, Peter J. On a new analytical method of solution MAXSON, C. J. See HARTFIEL, D. J. of nonlinear differential equations. I. The nonlinear oscil­ MAYLAND, E. J., Jr. and MURASUGI, Kunio. On a struc­ lator equation, Preliminary report, A-248, tural property of the groups of alternating links,A-591. MENA, Roberto A. Retractions and lattice-orderings on McARTHUR, Charles W. The order topology of an F*-lat­ groups, A-538. tice. Preliminary report, A-337. MENDELSOHN, Eric. On the groups of automorphism of McAULEY, Louis F. Open mappings and group actions, steiner systems, A-377; The smallest non-derived triple A-585, system is simple as a loop, A-619. McCARTHY, Donald J. Unicyclic graphs with cyclic auto­ MENDELSOHN, N.S. The equation

A-773 bases and maximal vector spaces. Preliminary report, MOHAMED, Saad and SINGH, Surjeet. Weak q-rings. A-31; R. e. presented vector spaces. Preliminary re­ Preliminary report, A-704. port, A-421. MOHAMMAD, Asrar. See SINGH, Surjeet. METROPOLIS, N. See EVERETT, C.J. MOHAMMADZADEH, M. See SIDDIQI, A. H. MEYER, Carl D., Jr. Tbe role of the group generalized MOISHEZON, B. See MANDELBAUM, R. inverse in the theory of finite Markov chains, A-81. MOLLIN, Richard. Algebras with uniformly distributed ---. See CAMPBELL, S. L. invariants, A-448; Uniform distribution and the Schur MEYER, Harold D. A representation for distributional subgroup, A-505; Uniform distribution and real fields, solutions of parabolic problems. Preliminary report, A-613. A-145. MOLNAR, Richard K. On the coradical of a Hopf algebra. MEYER, Paul R. Cardinal functions on compact dispersed Preliminary report, A-90. spaces, A-207. MONROE, Itrel. On the square variation of martingales, MEYERS, Norman C. and ZlEMER, William P. Wirtinger A-239. and Poincare inequalities for BV functions, A-403. MONROE, James L. See ELLIS, RichardS. MEYERSON, Mark D. Projections of Cantor sets, simple MONTESINOS, J. M. See BmMAN, Joan S. closed curves, and spheres in E3, A-333. 00 MONTGOMERY, Hugh L. Assorted research problems MICCHELLI, C.A. and PINKUS, A. On n-widths in L , in analytic number theory. Preliminary report, A-67. A-638; Moment theory for weak Chebyshev systems with MONTGOMERY, John T. Generalized Hartman's theo­ applications to monosplines, quadrature formulae and rem for degenerate rest points of a flow. Preliminary re­ best one-sided L1-approximation by spline functions with port, A-361. fixed knots, A-712. MOODY, R. V. Representations of infinite dimensional MICHENER, Kim E. A weak convergence theorem for Lie algebras and formulas of Weyl-Macdonald type, A-97. non-parametric, area-type functionals, A-554. MOOLGAVKAR, S. See EWING, J. MlELKE, M. V. Iterative processes. Preliminary report, MOON, J. W. On the expected packing and covering num­ A-549. bers of a tree. Preliminary report, A-48. MIKHAIL, N.N. See TRACY, D.S. MOORE, Brian. structure of the degrees of enumeration MIKHAIL, N. N. and TRACY, D. S. The sampling mo­ reducibility. Preliminary report, A-329; Enumeration ments of the generalized variance for finite populations. reducibility index sets, A-525. Preliminary report, A-244. MOORE, John I., Jr. See TROTTER, William T., Jr. MILGRAM, R. James. See DAVIS, Donald M. MOORE, L. C., Jr. Hyperarchimedean Riesz spaces, MILLER, David B. An epidemic branching process. Pre­ A-182. liminary report, A-241. MOORE, M. E. See MITCHELL, R. W. MILLER, Donald J. See HELL, Pavol. MORASH, Ronald P. The hyperoctant property in ortho­ MILLER, Douglas E. Tbe invariant !!& separation prin­ modular AC-lattices, A-55. ciples in topology and logic, A-27; On the measurability MORGAN, John C. II. On the absolute Baire property. of orbits in Borel actions. Preliminary report, A-667. 'Preliminary report, A-221. MILLER, F. R. and CURTIS, W. D. A theory of higher or­ MORGAN, Richard C. and KARP, Samuel N. Multi-mode der derivatives for H-differentiability on locally convex surface wave phenomena, A-250. spaces, A-231. MORGENSTERN, Carl F. An independence result con­ MILLER, Gary. Riemann's hypothesis and tests for pri­ cerning the ordering of certain large cardinals, A-715. mality, A-542. MORIYON, Roberto. On differentiation of integrals in MILLER, John L. Realizing 1-homology classes on orient­ Rn and the "halo conjecture". Preliminary report, A-388; able surfaces, A-479. On some basis of differentiation. Preliminary report, MILLER, Kenneth S. and ROCHWARGER, Marvin M. A-459. Hypothesis testing of random signals using minimum data, MORLEY, Larry J. A commutator relation in a wreath A-330. product of p-groups. Preliminary report, A-675. MILLER, Maurice H., Jr. Limits of sequences of Dar­ MORLEY, T.D. See DUFFIN, R.J. boux functions. Preliminary report, A-386. MORRIS, Peter D. Geometric characterizations of the MILLER, Robert W. Finitely generated projective mod­ Radon-Nikodym property, A-569. ules. Preliminary report, A-91. ---. See HUFF, Robert E. MILLER, Sanford S. A class of differential inequalities MORRIS, Robert. Embedddng finite group schemes in implying boundedness. Preliminary report, A-122. p-divisible groups, A-544. MILLMAN, RichardS. See BEERS, Brian. MORRIS, Robert A. An enumeration of the orders in cubic ---. See STEHNEY, Ann K. number fields. Preliminary report, A-73. MILLS, T.M. See COOK, W. Lyle. MORRISON, T. J. Tbe Radon-Nikodym property in spaces MILTON, E.O. See DUNCAN, G. T. of operators, A-555. MILTON, Susan and TSOKOS, Chris. On the existence MORROW, Dean C. A characterization of SL(3, 8). Pre­ of a random solution of a nonlinear perturbed random inte­ liminary report, A-106. gral equation,A-171. ---. See ALEX, Leo J. MINES, R. and RICHMAN, F. Effective procedures in MORTON, Margaret. Some results on quaternion poly­ algebraic number theory, A-70. nomial rings. Preliminary report, A-504. MIRSKY, Norman. Polyharmonic Green's functions and MOSER, Louise. Closure, interior, and union in finite null classes. Preliminary report, A-127. topological spaces, A-587. MITCHELL, A. Richard. See LAKSHMIKANTHAM, V. MOSS, William F. Existence of fundamental solutions for ---. See LORD, M. E. degenerate or singular, second order, linear, elliptic MITCHELL, Roger W. See LAKSHMIKANTHAM, V. partial differential equations, A-154. MITCHELL, Roger W. and MOORE, M. E. Vector Lya­ MOSTERT, Paul s. On the centralizer conjecture for punov functions and perturbation theory. Preliminary re­ monoids on manifolds, A-111. port, A-136. MOSTOW, Mark. Continuous cohomology of spaces with MITTER, Sanjoy K. See HAGER, William W. two topologies. Preliminary report, A-529. MLYNARSKI, Max. Tbe zeros of polynomials. Prelimi­ MOTT, JoeL. See COSTA, Doug. nary report, A-314. MOYNIHAN, Richard A. Conjugate transforms for 1rT ---. See DEUTSCH, Emeric. semigroups of probability distribution functions, A-240. MOGRA, M. L. On a class of starlike functions in the unit MOZZOCHI, C. J. Another approach to some recursion disc. Preliminary report, A-511; Radii on convexity for theorems of Landau, A-14; A remark on Goldbach's con­ certain classes of univalent functions. Preliminary report, jecture, A-302; A remark on Goldbach's conjecture.II, A-625. A-620; A remark on Goldbach's conjecture. III, A-704 ---. See JUNEJA, O.P. MROWKA, Stanislaw. Dimension in metric spaces. Pre­ MOH, T. T. The method of Tschirnhausen-Newton-Puiseux. liminary report, A-223; Concerning the covering dimen­ Expository report, A-77; On the continuity of Chow co­ sion. Preliminary report, A-361; Concerning the covering ordinate. Preliminary report, A-678. dimension. Preliminary report, A-584. MOHAMED, Saad. Rings with proper right ideals quasi­ MUCKENHOUPT, Benjamin. Weighted norm inequalities, injective, A-621. A-179.

A-774 MUGLER, Dale H. Completely convex and positive har­ NEVES, Kenneth W. The effective automatic numerical monic functions,A-118. solution of functional differential equations with inherent MUKHERJEA, Arunava. Limit theorems for probability derivative discontinuities, Preliminary report, A-727. measures on non-compact groups and semi-groups, A-479. NEVILLE, Charles W. Conditionally injective Banach MUKHERJEA, Arunava and GARD, James. On the con­ spaces, A-184. volution iterates of a probability measure, A-240. NEWHOUSE, Sheldon E. Hamiltonian systems, A-232. MUKHERJEE, T.K. See COCHRAN, A. C. NEWMAN, C. See BENNETT, G. MUKHOTI, Santiranjan. A theorem on Cesaro summability NEWMAN, Charles M. See ELLIS, RichardS. for fractional orders of integrals, A-354. NEWMAN, Donald J. See ERDOS, Paul. MULLEN, Gary L. Local permutation polynomials over a NEWMAN, Donald J. and REDDY, A.R, Rational approxi­ finite field. Preliminary report, A-72, mation (Ill), A-566; Rational approximation (V), A-637; MULLER, Bruno J. Localization in non-commutative Rational approximation (VI), A-710. rings, A-6. NEWMAN, Leon stagg, Jr. Infinite mapping cylinders MULLER, David E. See AGGARWAL, Vijay B. are Hilbert cube factors, A-361; Applications of group ac­ ---. See PREPARATA, Franco P. tions on finite complexes to Q manifolds, A-649. MULLER, David E. and PREPARATA, Franco P. Upper­ NEWMAN, M. F. See ALFORD, William A, bound to the time for parallel evaluation of arithmetic ex­ NEWMAN, M.F., WESTON, K.W. and YUAN, Tah-Zen, pressions, A-520, Polynomials associated with groups of exponent four, MULLIN, Albert A, On geometric methods in number A-397. theory. Preliminary report, A-3; Historical remarks con­ NEWMAN, Morris. See CALLAHAN, Thomas. cerning prime-number theory, A-394; Additive problems NEWTON, Dan. See KEYNES, H. B. with prescribed numbers of summands, A-502; On special­ NG, C. T. Structured measurement of algorithms. Pre­ ly structured simultaneous diophantine approximations, liminary report, A-563, A-612; On the algebraic structure of a pre-ring. Prelimi­ NICHOLSON, Keith, Lifting idempotents and exchange nary report, A-703. rings, A-708. MUMFORD, David. Algebraic cycles on algebraic NICKELL, Robert E. Computer program construction varieties, A-545. and maintenance-the future of centralized finite element MURA, R. Botto. See RHEMTULLA, A. H. activity, A-265. MURASUGI, Kunio. See MAYLAND, E.J., Jr. NICKOLAS, Peter. Reflexivity of topological groups, MURRAY, John. A second main theorem on stein mani­ A-649, folds with pseudoconvex exhaustion, Preliminary report, NIEDERREITER, Harald. The distribution of pseudo­ A-129. random numbers generated by the linear congruential MURTHY, M.P. Projective modules over affine algebras, method, A-57. A-79. NIPP, Gordon L. The Spinor genus of quaternion orders, MURTHY, M.P. and SWAN, R. G. Vector bundles over A-59. affine surfaces, A-672. NISHIDA, Takaaki and SMOLLER, Joel. Mixed problems MUWAFI, Amin A. See HICKERSON, Dean R. for a class of nonlinear conservation laws, A-153. MYCIELSKI, Jan. Discrete theories of pursuit and eva­ NISHIHAMA, Masahiro. See SAPERSTONE, Stephen H. sion, A-253; Invariant measures in metric spaces, A-310; NISHIURA, Togo. Interval functions in area theory, A-553, Measure and category of some sets of models. Prelimi­ NITECKI, Zbigniew. An irreversible analogue of the Den­ nary report, A-475. joy theorem. Preliminary report, A-232. MYCIELSKI, Jan and TAYLOR, Walter. Some completions NOONAN, J. W. Powers of p-valent functions, Prelimi­ of absolutely free algebras, A-646. nary report, A-121. MYERS, Robert. 0pen book decompositions of 3-manifolds. NORDAHL, T. E. Cancellative semigroups with non Preliminary report, A-651. empty center, A-427. NADEL, Mark and STAVI, Jonathan, L00 x equivalence, ---. See HAMILTON, H. B. isomorphism and potential isomorphism of structures, NORDHAUS, E. A. Bounds for graphical parameters. A-644, Preliminary report, A-536. NADLER, Sam B., Jr. Arcwise accessibility in hyper­ NORRIS, Eugene M. Galois connection algorithms. Pre­ spaces, A-216. liminary report, A-52; A maximal rectangle algorithm. NAGANO, T. See LEUNG, D,S,P. . Preliminary report,A-335. NAGEL, Alexander and WAINGER, Stephen. L2 bounded­ NOVODORSKY, Mark E. On zeta-functions associated ness of Hilbert transforms along surfaces, A-413. to automorphic forms, A-679. NAIMPALLY, B.A. See GUAY, M.D. NUMMELA, Eric C. Uniform free topological groups, ---. See MAH, Peter F. A-343. NAJAR, Rudolph and BECK, Walter, A lower bound for NUSSBAUM, Roger. Some generalizations of the Borsuk­ odd triperfect numbers. Preliminary report, A-427. Ulam theorem. Preliminary report, A-408; Global bi­ NAMIOKA, I. Some topological questions related to Banach furcation of periodic solutions of functional differential spaces,A-428. equations. Preliminary report, A-713. NAOUM, A, G. and AHMED, H. S. On commutative P, P. NYIKOS, Peter. Base conditions, generalized metric rings, A-301. spaces, and metrization, A-733, NARAYANASWAMI, P.P. On strong triples for closed ---. See GRUENHAGE, Gary, graph theory, Preliminary report, A-183, OBERLIN, Daniel M. Multipliers of closed ideals of NARAYANASWAMY, S. See PUTTASWAMY, T.K. LP(D00). Preliminary report, A-170; Multipliers of in­ NARICI, Lawrence. See BECKENSTEIN, Edward. variant subspaces of LP(G). Preliminary report, A-455; NASH, David H. and KLAMKIN, Murray s. A spherical Some results on derived spaces. Preliminary report, characterization of the normal distribution, A-238. A-712. NASH, John C. Positive Ricci curvature on exotic spheres OBI, Wilson C. See LEVINE, Lawrence E. and fibre bundles. Preliminary report, A-485, O'BRIEN, Richard C. An upper bound on the path num­ NASHED, M. Zuhair. Measurability of generalized in­ ber of a digraph, A-305. verses of random linear operators in Banach spaces and O•CONNOR, Thomas A. The solution of D1Alembert•s random generalized Green's functions. Preliminary report, functional equation on a locally compact abelian group, A-237. A-563. NATHANSON, Melyyn B, Polynomial Fell's equations, ODLYZKO, Andrew M. Analytic estimates for discrimi­ A-542. nants of number fields, A-659. NERODE,A, SeeASH, C.J. 0 1 FARRELL, Anthony G. Sometimes, you've got the NERODE, Anil. See CROSSLEY, J.N. wrong metric, A-587. ---. See METAKIDES, George, ---. See MARSHALL, Donald E. NEUMANN, Michael. Subproper splitting for rectangular O'LEARY, Dianne Proset. Iterative methods for struc­ matrices, A-521. tured systems of equations. Preliminary report, A-596. ---. See BERMAN, Abraham. OLIN, Philip. Countably saturated free products of NEVES, Beatriz P, Regular solutions of the initial-period­ Boolean algebras. Preliminary report, A-328; Elementary ic boundary value problem for a nonlinear partial differen­ equivalence of free products relative to some varieties of tial equation, A-461. grcups. Preliminary report, A-644, A-775 0 1MALLEY, Richard J. Approximate maxima. Prelimi­ PARK, Chull. An extension of Parseval•s equation, A-164. nary report, A-553. PARK, Seung Ahn. A characterization of the unitary O'MALLEY, Richard J. and WElL, Clifford E. The os­ groups U4(q), q = 2n, A-305; A characterization of the cillatory behavior of certain derivatives, A-552. simple groups U4(2) and 4(2) by a non-central involu­ ONO, Takashi. Algebraic groups and diophantine equa­ tion, A-454, tions, A-544. PARKER, F.D. Cycles of length four in chromatic ORLIK, P. and SOLOMON, L. Invariant forms and group graphs, A-50. representations. Preliminary report, A-671. PARKER, George. On results of Bochner and Nomizu, ORTEL, M. See HARRINGTON, A. A-203. ORTON, Marion. Hilbert problems-a distributional ap­ PARSHALL, Brisn. Simple subgroups of simple algebraic proach, A-428. groups, A-550. ORZECH, M. See CHILDS, L.N. PASSMAN, Donalds. Group rings. Preliminary rei;lort, OSBORN, J.E. See LARDY, L.J. A-395. OSGOOD, Charles F. Finding good rational approxima­ PATE, Thomas H. Lower bounds for the norm of the tions to power series, A-60. symmetric product. Preliminary report, A-449; Some OSLER, Thomas J. Barnes type integrals via fractional multilinear algebra results applied to partial differential differentiation. Preliminary report, A-354. equations, A-726, OSONDU, Kevin E. Homogeneous quotients of an inverse PATEL, V.A. Time-dependent solutions of the viscous semigroup, A-102. incompressible fiow past a circular cylinder by the OSONDU, Kevin E. and TAMARI, Dov. Embedding a semi­ method of series truncation. III. Preliminary report, group in a group, A-5. A-429. OSTLING, Edward. See HOWARD, Joe. PATNAIK, Rabindra K, Isomorphism classes of knot­ OSWALD, Urs. Inequivalence ofthe "fragments"ofNF. like groups, A-504, Preliminary report, A-648. PATNAIK, Surendra-Nath. Fixed points and selections. OTHMER, H. G. Nonlinear waves in reacting systems, Preliminary report, A-481, A-689. A-262. PATULA, William T, See GRIMMER, Ronald C. OTTAWAY, Malcolm. Maximal subgroups which deter­ PAUL, Y. See RAWAT, J.S. mine the properties of a finite group. Preliminary report, PAVLOVIC, Velimir P. Moufang functional equations on A-108. GD-groupoids with applications to quasigroups of various OUTLAW, Curtis. See SARAFYAN, Diran. arities, A-722, OXTOBY, John C. Construction of disjoint arcs through PAYNE, s. E. Generalized quadrangles with symmetry, finite sets within given disks, A-202. A-199. PAK, J. See KIM, S.K. PAZIRANDEH, Mohsen. Radial component of invariant PAKULA, Lewis and SINE, Robert. Structure of topologi­ differential operators at principal nilpotent points, A-110. cally ergodic measures, A-667. PEARCE, Kent. See CAMPBELL, Douglas. PALAGALLO, Judith. Linear and nonlinear functionals PEARCY, Carl and SALINAS, Norberta, The reducing on the spaces LP, 0 < p < 1. Preliminary report, A-182. essential matricial spectra of an operator, A-190. PALMER, E.M. and ROBINSON, R. W. Enumeration of PECELLI, Giampiero. See ROD, David. self-dual configerations, A-43. PELED, Uri N. Reducing the number of constraints in PALMER, E. M. and SCHWENK, A. J. On the enumera­ covering problems. Preliminary report, A-254. tion of a class of tree-like graphs constructed from poly­ ---. See HAMMER, P.L. gons, A-506. PENNEY, Richard C. Central idempotent measures on PALMORE, Julian I. New relative equilibria of then-body nilmanifolds, A-680. problem, A-685. PENOT, J.P. A vectorial form of Gronwall's lemma, PANDA, Rekha. Some multiple series transformations, A-468, A-9; On a new class of polynomials. Preliminary report, PERKO, Kenneth A., Jr. Remark on 2-bridged knots, A-308; An asymptotic confluent expansion for certain func­ A-29. tions of several variables. Preliminary report, A-383; PERKO, L.M. Second species periodic solutions of the A note on certain reducible cases of the generalized hyper­ restricted three-body problem, A-312. geometric function. Preliminary report, A-456; A theo­ PERRIZO, William. Truncations of vector field fiows. rem on bilateral generating functions. Preliminary report, Preliminary report, A-232. A-509; A theorem on generating functions of bypergeomet­ PERRY, W,L, See LUNING, C. D. ric polynomials of several variables. Preliminary report, PESEK, John, Jr. Runge domains and lacunary power A-625; Certain dual series equations involving Laguerre series in several variables. Preliminary report, A-129, pozynomials. Preliminary report, A-709. PETERS, James V. Phr!tgmen-Lindel!lf indicators for ---. See SRIVASTAVA, H.M. Radon transforms. Preliminary report, A-467; Radon PANKIN, Mark. Row admissible latin squares, A-43. transforms on Sobolev spaces, Preliminary report, A-516. PAO, c. V. On a uniform parabolic equation with mixed PETERSON, Allan, On the sign of Green's functions, boundary condition, A-145. A-139; Comparison theorems for ordinary differential PAO-SHENG, Hsu. An application of compactifications: equations, A-407. Some theorems on maximal ideals, A-348. PETERSON, Gary L. On the automorphism group of an PAPADAKIS, JohnS. A boundary value problem for equa­ integral group ring. Preliminary report, A-104; On the tions of mixed type, A-412. automorphism group of an integral group ring n. Preli­ PAPANICOLAOU, George C. Fluctuations in the Navier­ minary report, A-396. Stokes equations, A-236; Boundary layers of transport PETRO, John W. Concerning filtrations on commutative processes, A-683, rings, A-78. PAPANICOLAOU, George C, and KOHLER, W. Asymp­ PETRO, John W, and PETTIT, M. Edward, Jr. Filtra­ totic anazysis of deterministic and stochastic equations tions with finite power type on PrUfer domains. Prelimi­ with rapidly varying components, A-359, nary report, A-79. PAPASTAVRIDIS, Stavros G. Relations among characteris­ PETRYSHYN, W. V. See FITZPATRICK, P.M. tic classes. Preliminary report, A-226. PETTET, Martin R. On finite groups admitting a fixed­ PAPICK, Ira J. Topologically defined classes of going­ point-free automorphism of prime power order, A-440. down domains, A-75; Local minimal overrings, A-621. PETTEY, Dix H. Se FRIEDLER, Louis M. ---. See DOBBS, David E. PETTIS, B,J, Openness for homomorphisms via some­ PAPP, F. J. Standard and non-standard solutions of the where denseness, A-180; Closed subgroups, A-330. Cauchy equation, A-561. PETTIT, M. Edward, Jr. See PETRO, John W. PAPP, Zoltan. On stable Noetherian rings, A-84; A note PETTY, C.M. Characterization of geodesic arcs, A-574. on mixed abelian groups, A-381. PETTY, Joe V. Some closure properties of series de­ PARDON, William. The exact sequence of a localization termined classes of groups, A-5; A generalization of the in L-}heory, A-477. local property for groups, A-305, PARE, Robert. Abstract families for cartesian categories, PEYSER, Gideon, On the corner problem for symmetric A-718. positive systems, A-146. PARIKH, Shailendra C. See DANTZIG, George B. PFALTZGRAFF, John. Univalence of the integral of

A-776 f'(z)c, A-125. PUTNAM, Hilary. Minimality and gap ordinals, A-420, PFEFFER, W. F. On some subspaces of Helly space. A-490, Prellminary report, A-208. PUTTASWAMY, T.K. Two point connection problem for PHELPS, Robert R. Geometric characterizations of the a certain differential equation with an irregular singular RNP (Part IT), A-569. point of rank two, A-135; Two point connection problem PHILLIPS, Keith. Local field singular integrals with for a certain differential equation with an irregular singu­ odd kernel. Preliminary report, A-416. lar point of arbitrary rank, A-353; Solution in the large PHILLIPS, Richard E. Zero divisors in rings and cen­ of a certain nth order differential equation, A-559. trality on groups. Preliminary report, A-398. PUTTASWAMY, T.K. and NARAYANASWAMY, S, Stokes PHILLIPS, Thomas M. A note on monotonic ortho-bases, multipliers for a certain differential equation, A-679. A-718. PYE, W. C. and JETER, Melvyn W. A minimal perma­ PIECH, M. Ann. An infinite dimensional Laplacian. nent-like function, A-81, Preliminary report, A-235, QUACKENBUSH, Robert W. An algebraic proof of a theo­ PINKUS, A. See MICCHELLI, C. A. rem of Chowla, Erdlls and Straus, A-452; Algebras with PINSKY, Mark A. Asymptotic analysis of the linearized small fine spectrum, A-623. Boltzmann equation, A-234; The Navier stokes approxi­ QUINE, John R., Jr. A characterization of the complete mation to the linearized Boltzmann equation, A-514; Ran­ polar of a polynomial, A-126. dom evolution and diffusion on a Riemannian manifold, QUINN, Dennis W. Exterior Dirichlet and Neumann A-682. problems in generalized hi-axially symmetric potential PIRANIAN, George. See BONAR, D. D. theory. Preliminary report, A-149. PIXTON, Dennis. Non-smoothable, unstable group actions. RABINOVITCH, Issie, Stable assignments. Preliminary Preliminary report, A-686, report, A-253. PLASTIRAS, Joan. Compact perturbations of C*-algebras, RABINOWITZ, Paul H. A bifurcation theorem for poten­ A-513. tial operators, A-408. PLESS, Vera. Mathematical foundations of interconnected RADFORD, David E. The antipode of a Hopf algebra. J-K flip-flops, A-40. Preliminary report, A-90, PLESS, Vera and INDIK, Robert. Code-graphs, Prelimi­ RADFORD, David E., TAFT, E,J. and WILSON, R.L. nary report, A-668. Some forms of certain Hopf algebras, A-86. PLESSET, Milton s. Nuclear fission energy-problems RADJABALIPOUR, M. and RADJAVI, H. On the bound­ and promise, A-740. ary of numerical ranges, A-573. PLOTKIN, J.M. ZF and Boolean algebras. Preliminary RADJAVI, H. See RADJABALIPOUR, M. report, A-266, RAGHAVAN, T.G. andREILLY, I.L. G(P)-minimaland ---. See HICKIN, K.K. G(P)-closed spaces, A-718. POHL, W.F. See CHEN, C.S. RAJAGOPALAN, M. Scattered spaces ill, A-583; Closed POKRASS, David J. and RODABAUGH, David J. On the subgroups of topological groups. Preliminary report, nilpotency of generalized alternative algebras. Prelimi­ A-733. nary report, A-708. ---. See JAYACHANDRAN, M. POLIMENI, Albert D. See CHARTRAND, Gary. RAJAGOPALAN, M. and WOODS, R. Grant. Products of ---. See LESNIAK, Linda. sequentially compact spaces. Preliminary report, A-333. POMERANCE, Carl. On multiply perfect numbers and RAKESTRAW, Roy M. See HANKINS, J.C. Mersenne primes, A-56; On composite n for which RAM, R.B. See DIAZ, J,B. lf>(n)ln- 1, IT, A-542; On a tiling problem of R. B. Eggle­ RAMAKRISHNAN, T.R. See CHAWLA, M.M. ton, A-617, RAMM, Alexander G. On integral equations of the first POOLE, Michael W. Structure properties of cones of kind with nonnegative kernels, A-457; On some nonlinear positive operators. Preliminary report, A-335, A-490, problems, A-515; On simultaneous approximation of func­ POREDA, s. J. Interpolation by rational functions with tion and its derivative by interpolation polynomial, A-625; restricted zeros. Preliminary report, A-311. Filtering and extrapolation of random fields and vectorial PORT, S.C., STONE, C.J. and WEISS, N.A. SLLNs processes, A-708. and CLTs for infinite particle systems, A-240, RANDELL, Richard, Non-isolated singularities of weighted PORTA, Horacio. See BERKSON, Earl. homogeneous varieties. Preliminary report, A-670. PORTER, J. F. See FELDMAN, W.A. RANDTKE, Daniel J. On the existence of compact metric PORTER, J. F. and FELDMAN, W.A. Order and distri­ subspaces, A-217; On the embedding of Schwartz spaces butions, Preliminary report, A-184. into product spaces. Preliminary report, A-338. PORTER, J.R. See Dickman, R. F., Jr. RAO, A.N. V. See TSOKOS, ChrisP. PORTNOY, E. See ALEXANDER, S. RAO, A. N. V. and TSOKOS, C. P. Bayesian estimation of POUCHER, William B. Finite embedding theorems for life parameters and reliability function in the Weibull dis­ partial pairwise balanced designs. Preliminary report, tribution. Preliminary report, A-243. A-46; More intersection preserving embedding theorems RAO, G.K.R. See FIXMAN, Uri. for collections of partial PBD•s. Preliminary report, RAO, K. Nageswara. A generalization of a cyclotomic A-335, polynomial. Preliminary report, A-62, POWERS, Morris W. See BOLAND, W. Robert. RAO, N. V. and SHEA, Dan F. Growth problems for sub­ PRAJAPAT, M.L. See JOSHI, C.M. harmonic functions of finite order in space, A-12~. PRATHER, Ronald E. See BURGMEIER, James W. RAO, R. Ranga. On the Weil representation of Sl2 asso­ PREPARATA, Franco P. See MULLER, David E. ciated to a quadratic form, A-686, PREPARATA, FrancoP. and HONG, S.J. Convexhulls RAO, R. Sita Rama Chandra. See SURYANARAYANA, D. of planar and spatial sets of points, A-596. RAPHAEL, Louise. Summable integrals. Preliminary PREPARATA, Franco P. and MULLER, David E. Parallel report, A-315. evaluation of division-free expressions, A-471. RASMUSSEN, John R. The generalized Artin exponent PRESKENIS, Kenneth J. A theorem on quasiconformal of a finite group. Preliminary report, A-103. mappings. Preliminary report, A-350. RATHY, R.K., BAGLA, K. L, and CHANDRA, Kailash. PRESSMAN, Irwin S, The bivariant long exact sequence On the thermal instability of a density stratified fluid for the Ext functor, A-303, layer, A-323. PRIKRY, Karel. Non-extendable families of continuous RATNER, M. On flows of linear elements on compact functions. Preliminary report, A-210, surfaces of constant negative curvature, A-688. PROSCHAN, F. See ABDEL-HAMEED, Mohamed. RAUCH, J. B. and TAYLOR, B.A. The Dirichlet ptoblem PROTTER, Philip. Existence, uniqueness, and conver­ for the equation of zero Gauss curvature, A-148, gence of solutions of stochastic integral equations. Preli­ RAUTENBERG, Wolfgang and ZIEGLER, Martin. Recur­ minary report, A-477. sive inseparability in graph theory. Preliminary report, PRZYMUSINsKI, Teodor. Extensions of continuous func­ A-523. tions and pseudometrics, A-528; Collectionwise normality RAWAT, J.s. and PAUL, Y. Onthedecayofhomogeneous and absolute retracts, A-651; Normality and collection­ magneto-fluid dynamic turbulence before the final period. wise Hausdorff property, A-716, Preliminary report, A-642.

A-777 RAY, S.C. See CHATTERJEE, A.K. RINGEISEN, Richard D. On pseudosurface imbeddings of RAY, S.K. See KAMTHAN, P.K. graphs, A-41; Some open questions on orientable embed­ RAY-CHAUDHURI, D.K. See CHAN, Agnes Hui. dings, A-534. RAYNAUD, Jacques. See GOLAN, Jonathan S. RINGEL, C.M. See DLAB, V, RAZZAGHI, M. On the sufficient conditions for control RINGEL, Gerhard. Map color theorem, A-38. problems with time delay, A-574. RISMAN, Lawrence J. On the order and degree of solu­ READ, R. C. and CORNElL, D. G. The isomorphism tions to pure equations, A-441. disease. Preliminary report, A-39. RIVAL, Ivan. A fixed point theorem for finite partially READE, Maxwell 0. and ARMSTRONG, Thomas. On func­ ordered sets, A-306. tions of bounded boundary rotation. Preliminary report, RIVIERE, Nestor M. See FEFFERMAN, Charles. A-119. RIVLIN, T.J. and CHENEY, E. W. On some polynomial REBHUHN, D. On the closure sets of attainability. Pre­ approximation operators, A-160. liminary report, A-417. RIZVI, J. H. Tauberian theorem for the method A >.Ca• REDDIEN, G. w. Boundary value problems for functional A-658. differential equations with L2 initial functions, A-725. ROACH, F. A. Boundedness of value regions and conver­ REDDY, A. R. A note on rational approximation on [0, oo), gence of continued fractions, A-339. A-10; Approximation by rational functions, A-512, A-638, ROBBINS, Neville. Some remarks concerning quasi-per­ A-689. fect numbers, A-63. ---. See ERDOS, P. ROBERTS, James W. The component of the origin in the ---. See FREUD, G. Nevanlinna class, A-124; A compact convex set with no --. See NEWMAN, D. J. extreme points, A-635. REDDY, William. Expansive properties of maps. Preli­ ROBERTS, James W. and STOLL, Manfred. Maximal minary report, A-217. ideals in the algebra W, A-123. REDFIELD, R.H. o-subfl.elds of .t-fields. Preliminary ROBERTS, Joel L. Rings of invariants and rational report, A-618. singularities. Preliminary report, A-545. REED, George M. On normality and countable paracom­ ROBERTS, John. Vertex cyclic graphs, A-260; The pactness, A-216; On subspaces of separable first count­ hamiltonian nature of Ore-type digraphs. Preliminary a~e T2-spaces, A-346; Some Moore examples, A-582; report, A-334. Independence and consistency results related to Moore ROBINSON, Derek J.S. Cohomology of solvable groups spaces. Preliminary report, A-732. of finite rank, A-395, REED, George M. and DAVIS, Sheldon W. A note on ROBINSON, Donald W. Lower bounds on the dimension weakly uniform bases. Preliminary report, A-346. of the spaces of matrices transposed and skew-transposed REICH, Ludwig. Analytic iteration and roots of biholo­ by a similarity transformation, A-547. morphic and formally biholomorphic mappings, A-565. ROBINSON, Eric E. A characterization of certain REID, J.D. See KUEBLER, Robin. branched coverings as group actions, A-529. REID, William T. Related self-adjoint differential and ROBINSON, R. W. See PALMER, E.M. integra-differential systems, A-411. ROCHBERG, Richard. Degeneration of algebras of analy­ REILLY, I.L. SeeRAGHAVAN, T.G. tic functions. Preliminary report, A-410. REILLY, James W. See JACKSON, David M. ROCHWARGER, Marvin M. See MILLER, Kenneth S. REILLY, Norman R. Ordered groups with compatible ROCKE, David M. p-groups in which centralizers of tight Riesz orders, A-539. non-central elements have the same order: Part I. Pre­ REINER, Irving. Locally free class groups. Preliminary liminary report, A-108. report, A-447; Integral representations of cyclic groups ROCKHILL, Theron. Media assisted self study lessons of order p2, A-658. in calculus, A-259, REMMEL, Jeffrey B. Co-r. e. cohesive vector spaces, ROD, David L. , PECELLI, Giampiero and CHURCHILL, A-266; Two types of maximal subspaces. Preliminary Richard C. Hyperbolic periodic orbits in Hamiltonian report, A-645. systems, A-515. RENEKE, James A, The existence of realizations of RODABAUGH, David J. See POKRASS, David J. hereditary systems, A-723. RODABAUGH, S. E. Upper semicontinuous decomposi­ RETTA, Teklehaimanot. Countably compact and pseudo­ tions of convex metric spaces. Preliminary report, A-425. compact spaces. Preliminary report, A-651. ROD!, stephen. stone-Weierstrass properties in some ---. See COMFORT, W. W. commutative Banach algebras. Preliminary report, A-162. REYES, G. E. See MAKKAI, M. RODOLFO, Talamo. On prerealcomplete uniform spaces RHEMTULLA, A. H. and MURA, R. Botto. Some suffi­ and a criterium for pseudocompactness, A-482. cient conditions for a group to be orderable, A-539. ROITMAN, Judith. Some results about spread. Prelimi­ RICE, Bart F. See McFARLAND, Robert L. nary report, A-214; Almost disjoint strong refinements. RICH, Michael. The Levitzki radical in Jordan and asso­ Preliminary report, A-328. ciative algebras. Preliminary report, A-2; The Levitzki ROMAN, Steven. The maximum number of q-cliques in radical in associative and Jordan rings, A-454; The prime a graph with no p-clique, A-504. radical in alternative rings, A-506. RORRES, Chris. Optimal sustainable yield of a renew­ RICHARDS, Ian. See ERDOS, Paul. able resource divided into classes, A-256. RICHARDSON, Gary D. Sequential convergence in C(X), ROSE, Bruce. See BALDWIN, John. A-177. ROSE, N.J. See CAMPBELL, S.L. --. See FRIO, Roman. ROSENBERG, Ivo G. On generating large classes of ---. See GAZIK, R. Sheffer functions, A-621. RICHARDSON, R. L. and COOK, D. Cayley tables for di­ ROSENBERG, Milton. Square-integrability wrt nonnega­ hedral groups, A-721. tive hermitian measures and spectral integrals of opera­ RICHMAN, Daniel J. and SCHNEIDER, Hans. The rela­ tor-valued functions. Preliminary report, A-187. tionship of the graph of a singular M:-matrix to its Weyr ROSENBLATT, Murray. Random solutions of Burgers characteristic, A-548. equation. Preliminary report, A-235. RICHMAN, F. See MINES, R. ROSENBLUM, Marvin and ROVNYAK, James. Restric­ RICHTER, Wayne. Inductive definitions and reflecting tions of analytic functions, A-124. ordinals. Preliminary report, A-422. ROSENCRANS, steven I. Lie theory of the heat equation, RIDENHOUR, Jerry. Boundary-value functions. Preli­ A-351. minary report, A-412. ROSENFELD, Melvin. See BRUCKNER, Andrew M. RIEGER, G.J. On a theorem of Deshouillers concerning ROSENHOLTZ, IraN. More evidence of a conspiracy sums of fractional powers, A-303; On a theorem of Heil­ among fixed point theorems, A-27; On a fixed point prob­ bronn concerning continued fractions, A-448; On a theorem lem of D.R. Smart, A-469; On imitating the Euclidean of Heilbronn concerning continued fractions. II, A-616. metric, A-650. RIETZ, Ronald. A note on compact classes of ,e2 opera­ ---. See CLARK. tors. Preliminary report, A-571. ROSENKRANTZ, Walter. Limit theorems for solutions to RIGO, Thomas. On pseudo valuations. Preliminary report, stochastic differential equations, A-234; Remarks on the A-72. diffusion approximation, Preliminary report, A-683,

A-778 ROSENSTEIN, Joseph G. On the category of countable SAFF, E.B. and VARGA, R.S. ZerosandpolesofPade subrings of lliEIFi(pn), A-508. approximants to ez, A-458. ROSENTHAL, Haskell P. Some recent discoveries in the SAFF, E. B., SCHONHAGE, A. and VARGA, R.S. isomorphic theory of Banach spaces, A-186; Some prob­ Geometric convergence to e-z by rational functions with lems concerning subspaces of L1, quotients of C[O, 1] and real poles, A-631. the Radon-Nikodym property. Preliminary report, A-570. SAGHER, Y. See FEFFERMAN, Charles. ROSIER, Ronald C. Tensor products of p-nuclear, quasi SAGLE, Arthur and SCHUMI, J. Anti-commutative alge­ p-nuclear, and p-integral maps, A-195, bras and homogeneous spaces with multiplications, A-4. ROSINGER, Elemer E. A distribution multiplication SAKS, Victor. Ultrafilter invariants in topological spaces, theory, A-310; A modified distribution multiplication A-218; Density character of closed subgroups, A-481. theory, A-384; Non-symmetry of Dirac distributions, SALEHI, H. See KANNAN, R. A-455; Nonsymmetric Dirac distributions in scattering SALINAS, Norberta, See PEARCY, Carl. theory, A-514; Linear independent families of Dirac dis­ SALLEE, G. T. Tiling convex sets by translates. Preli­ tributions, A-636. minary report, A-202, ROSKES, Gerald, On the propagation of energy in multi­ SALTMAN, David. Brauer group of a ring of characteris­ phase wavetrains. Preliminary report, A-248. tic p. Preliminary report, A-706. ROSSI, H. See TAYLOR, J. SALZER, Herbert E. Inverse Laplace transforms of os­ ROVNYAK, James. See ROSENBLUM, Marvin. culatory and hyperosculatory interpolation polynomials. ROWEN, Louis. An example in PI-theory, A-624. Preliminary report, A-356; Some extensions of Prony ROWEN, Louis Halle. Monomial conditions on rings, approximation, A-594; Minimal error difference formulas, A-7; Generalized polynomial identities III, A-447. A-714. ROWLETT, Russell J. Torsion in the bordism oriented SANDERS, Esther Lee. A note on the number of maximal involutions, A-227; Bounding a free action of a finite independent sets in a tree, A-509. group, Interim report, A-733. SANDOMIERSKI, Francis L. See COZZENS, John H. ROY, Prabir. See THOMAS, David. SANDS, Bill. See DAVEY, Brian A. ROZEMA, E.R. See CHUI, C.K. SAPERSTONE, Stephen H. The attainable set of conditional RUBEL, Lee A. Harmonic analysis of harmonic functions, probability measures in stochastic control, A-728. A-408, SAPERSTONE, Stephen H. and NISHIHAMA, Masahiro. ---. See FlXMAN, Uri. Continuity of the limit-set maps in semi-dynamical sys­ RUBIN, Leonard R. Relative collaring, A-210. tems, A-137. RUBIN, Matatyahu. Boolean algebras: Undecidability SARAFYAN, Diran and OUTLAW, Curtis. Approximate with distinguished subalgebra and interpretation in auto­ integration with built-in error bounds, A-247. morphism groups, A-645. SARASON, Donald. Quasicontinuous functions, A-735, ---. See SHELAH, Saharon. SARASON, Leonard. Weak equals strong in corner do­ RUDIN, Mary Ellen. A perfectly normal, nonmetrizable mains for first order elliptic systems, A-459. manifold,A-208; The continuum hypothesis, A-586. SATAGOPAN, K. P. On the isomorphism of the endomor­ RUDMAN,R. and FINKELSTEIN, R. A generalization of phism rings of modules. Preliminary report, A-445. Berwick's unit algorithm, A-71. SATHER, D. Bifurcation and stability theory for nonlinear RUDOLPH, Daniel J. Non-isomorphic K-automorphisms gradient operators. Preliminary report, A-405. with isomorphic powers or roots. Preliminary report, SATO, Daihachiro. An algorithm to expand the Star of A-648, David theorem (GCD properties of binomial coefficients). RUNDELL, W. The solution of initial-boundary value Preliminary report, A-296; Expansion of the Star of problems for equations of Sobolev type, A-155, David theorem of H. W. Gould and David Singmaster. RUNG, D, C. Meier type theorems for general boundary Preliminary report (I), A-377; Simultaneous product and approach and a-porous exceptional sets, A-405. GCD equalities of sets of binomial coefficients. Prelimi­ RUPP, Russell D. Distributed parameter penalization. nary report (II), A-508. Preliminary report, A-409; Distributed parameter penali­ ---. See HITOTUMATU, Sin. zation, A-663. ---. See LARSON, Glenn. RUSHING, T. Benny. Embeddings of shape classes of SATYANARAYANA, M. Some problems in fully ordered compacta. Preliminary report, A-345. semigroups, A-539. ---. See HOLLINGSWORTH, J. G. SA TZER, William J. Canonical elimination of the node in RUSSAK, I. Bert. Sufficient conditions for problems with the planar three body problem. Preliminary report, A-681. bounded state variables. Preliminary report, A-312. SAUNDERS, B. David. Convexity of the norm-numerical RUSSELL, Allen M. stieltjes type integrals. Preliminary range. Preliminary report, A-547. report, A-314. ---. See CAIN, B. E. RUSSO, Ray L. Universal continua. Preliminary report, SAUNDERS, P. T. and BAZIN, M.J. Oscillations in stable A-649, ecosystems, A-263. RUTTER, E. See BREWER, J. SAVITS, Thomas H. Some recent results in age-depen­ RUTTIMANN, G. T. Jordan-Hahn decomposition of signed dent processes. Preliminary report, A-329; Sufficient weights on finite orthogonality spaces, A-183; Orthomod­ conditions for the explosion of general age-dependent ular posets arising from strong polytopes, A-677. branching processes. Preliminary report, A-683. ---. See COOK, T.A. SAWOROTNOW, Parfeny. Riesz theorem for H*-algebra RYFF, John V. The equation af(ax) + bf(bx+a) ~ valued positive linear mappings. Preliminary report, bf(bx) + af(ax+b). Preliminary report, A-560. A-115. SAAB, Elias. On the Radon-Nikodym property in Frechet SAXON, stephen A. Dense, non-barrelled subspaces of spaces and applications,A-569. Banach spaces, A-340. SAADE, Marshall. A note on some varieties of point al­ SCHACHER, Murray. See FEIN, Burton. gebras, A-105. SCHAEFFER, David G. The generic theory of regularity SAARI, Donald G. On the asymptotic nature of then-body for a single convex conservation law, A-154, problem, A-249. SCHELP, Richard J, See FAUDREE, Ralph J. SAARI, Donald G. and SIMON, Carl P. Singularity theory SCHLOSSER, Michael. Entropy of ring endomorphisms. of utility mappings I: Degenerate maxima and Pareto op­ Preliminary report, A-76. tima, A-688. SCHMIDT, D. See HENRY, M.S. SACHS, David. structure and embedding theorems for a SCHMIDT, Diane D. The Bing sphere characterization class of geometric lattices. Preliminary report, A-622. and applications of brick partitionings, A-530. SACHS, Rainer K. General relativity and cosmology, SCHNEIDER, Hans. See CAIN, B. E. A-251. ---. See ENGEL, Gernot M. SACKS, Gerald E. Recursion on inadmissible ordinals. ---. See RICHMAN, Daniel J. Preliminary report, A-422. SCHOBER, Glenn. A variational method for families of SADANAND, Verma. On a generalization of a prime K(z)-quasiconformal mappings, A-404. generating function. Preliminary report, A-542. SCHOCHETMAN, Irwin. See FONTENOT, Robert A. SADY, Richard. Involutions on complex projective spaces. SCHOENFELD, Lowell. Improved bounds for the Cheby­ Preliminary report, A-527. shev functions with applications, A-67, A-362,

A-779 SCHONHAGE, A. See FISCHER, Michael J. SHAPIRO, Leonard. Generalized Bohr compactifications. ---. See SAFF, E. B. Preliminary report, A-113. SCHUE, John. Representations of solvable p-algebras, SHAPIRO, Victor L. Mean continuity and the stationary A-93. nonlinear Navier-Stokes equations. Preliminary report, SCHULTZ, Henry J. Higher derivations and automor­ A-406. phisms of C([X]]. Preliminary report, A-74. SHARPLEY, Robert III. Counterexamples in interpolation SCHUM!, J. See SAGLE, Arthur. theory, A-185. SCHUPP, Paul E. A strengthened Freiheitssatz, A-622. SHARPLEY, Robert C. strong interpolation of Aa(X) and SCHWABAUER, Robert. Enzymatic neurons, A-256; applications. Preliminary report, A-711. Enzymatic neurons II, A-323. SHAUGHNESSY, Edward P. Automorphism groups of the SCHWARTZ, Alan. Representation of i.l-convolution al­ (.e + 1, (.e + 1)/2) extended QR codes for J, and (.e- 1)/2 gebras by series of orthogonal polynomials. Preliminary prime, 5 < J, < 4079. Preliminary report, A-348. report, A-679. SHAW, Howard C. A note on a theorem by Landesman ---. See CONNETT, William. and Lazer. Preliminary report, A-150, SCHWARTZ, Robert. P.L. actions and equivariant SHAW, J. K. Series expansions and linear differential general posi1jon. Preliminary report, A-230. operators. Preliminary report, A-157. SCHWARZ, stefan. See BUTLER, Kim Ki-Hang. SHEA, Dan F. See RAO, N. V. SCHWEIZER, B. The associativity equation on a space of SHEINGORN, Mark. See CALLAHAN, Thomas. probability distribution functions, A-561. SHELAH, Saharan. Various results in mathematical logic, ---. See FRANK, M.J. A-23; Various results in mathematical logic. Preliminary SCHWENK, Allen J. On moments and coefficients in spec­ report, A-474; Eherenfeucht conjecture on rigid models tral graph theory, A-48; New derivations of spectral disproved, A-523. bounds for the chromatic number, A-535. SHELAH, Saharan and RUBIN, Matatyalru. On linearly ---. See PALMER, E. M. ordered models and their end extensions, A-646. SCOTT, Frederick. On a partial asymptotic stability theo­ SHELDON, Philip B. See ARNOLD, Jimmy T. rem of Willett and Wong, A-139. SHELSTAD, Diana. Character identities on real reductive SCOTT, Philip J. The dialectica interpretation and cate­ groups, A-687. gories I. Preliminary report, A-644. SHEPHERD, Ray. Construction of p-groups of maximal SCOTT, Ridgway. The interplay between the mathematical class with group order pn,;; p2k+6, A-110. and engineering approaches, A-265. SHER, R. B. Extensions, retracts, and absolute neigh­ SCRANDIS, Ann, SEHGAL, Surinder and ZASSENHAUS, borhood retracts in proper shape theory, A-222; Docility Hans. Equally di.stributed permutation groups, A-705. at infinity and characterizations of APR's, A-343. SEALL, Robert. Finite superassociative systems and ---. See HEATH, R. W. projective planes, A-442. SHIELDS, A. L. and WILLIAMS, D. L. Duality and multi­ SEDWICK, J.L. and ELLIOTT, D.L. Equivalences of pliers in spaces of harmonic functions, A-123. nonlinear and bilinear control systems, A-417. SHIELDS, Paul C. How well can one fit two processes SEEBECK, C. L., III. Codimension one manifolds that together, A-237. are locally homotopically unknotted on one side, A-655. SHIFFMAN, Bernard. Holomorphic curves in algebraic SEELBACH, Marijean. A common fixed point theorem of manifolds, A-663, the alternative type. Preliminary report, A-176. SHlREY, James E. See ZINK, Robert E. SEESE, Letitia. Uniqueness in the Cauchy problem for a SHIU, Elias S. W. Numerical ranges of powers of opera­ doubly characteristic operator, A-151. tors, A-192. SEGAL, David M. Some applications of Landweber-Novi­ SHOENFELD, PeterS. Generalized almost finite homo­ kov operations, A-223. morphisms of minimal sets. Preliminary report, A-216. SEGAL, Jack and KOZLOWSKI, George. Local behavior SHORE, Richard A. Automorphism bases for the recur­ and the Vietoris and Whitehead theorems in shape theory, sively enumerable sets. Preliminary report, A-328; Some A-342, A-490, more minimal pairs of a- r. e. degrees. Preliminary SEHGAL, Surinder. See SCRANDIS, Ann. report, A-524. SEIDEN, Esther and WU, Ching-Jung. On construction SHORE, S.D. and KENTON, S.A. Completeness in semi­ of three mutually orthogonal Latin squares by the method metric spaces. Preliminary report, A-219. of sum composition, A-708. SHORES, Thomas. See FUELBERTH, John. SELFRIDGE, J.L. and WUNDERLICH, M.C. Factoriza­ SHOWALTER, R. E. Nonlinear degenerate evolution equa­ tion and prime testing, A-69. tions and partial differential equations of mixed type, SEPETA, Raymond G. A characterization of the adjoint A-144. Chevalley group of type E7 over fields of odd characteris­ SHRIKHANDE, Neelima. Homotopy properties of decom­ tic. Preliminary report, A-3. position spaces. Preliminary report, A-392. SERVEDIO, Frank. Singular orbits for linear algebraic SHULT, Ernest E. Certain doubly transitive groups of groups. Preliminary report, A-80. even degree. Preliminary report, A-677. SHAFFER, Dorothy Browne. Analytic functions in class SHULTZ, Harris S. A new algebra of distributions on Hl. 0 and their applications, A-123; Inequalities for a Rn, A-174. sp~cial class of bounded analytic functions, A-556. SIDDIQI, A, H. and MOHAMMADZADEH, M. Approxima­ SHAH, s. M. Components of characteristic functions of tion by Cesaro and B-means of double Fourier series, Gaussian and Poisson distributions and means, A-125; A-517. Polynomial approximation and entire functions, A-387; SIDDIQI, A. H. and SHAHABI, M.A. On quasi normed Polynomial approximation and entire functions II, A-465; lattices, A-517. Expansion of an entire function in interpolating polyno­ SIDKI, Said N. On HK n KH in groups. Preliminary re­ mials, A-628. port, A-452. SHAH, S.M. and SILVERMAN, Herb. Entire functions with SIGMON, Kermit. See HU, H. T. maximum deficiency sum and their means, A-467. SILLIMAN, Sherwood D. On complete semicardinal quad­ SHAH, S.M. and TRIMBLE, S. Y. Univalence of deriva­ rature formulae, A-353. tives of functions defined by gap power series II, A-517. SILVER, Jack H. The singular cardinals problem, A-531. SHAHABI, M.A. See SIDDIQI, A. H. SILVERMAN, Herb W. Univalent functions with negative SHAMOS, Michael Ian. See HOEY, Dan. coefficients, A-119. SHANKAR, Hari. Convolutions of holomorphic functions. ---. See SHAH, S, M, Preliminary report, A-557; The mean value of the modu­ SILVERMAN, Herb W. and SILVIA, Evelyn M. On linear lus of an analytic function, A-727. combinations of convex functions of order {3 • Preliminary SHANKS, Daniel. Analysis and improvement of the con­ report, A-118. tinued fraction method of factorization, A-68. SILVERMAN, Herb W. and TELAGE, D.N. Spiral-like SHANNON, Robert W. See JOSS, Richard R. functions and related classes with fixed second coefficient, SHAPIRO, H. L. and SMITH, F.A. On extending locally A-462. finite collections, A-221. SILVERMAN, Ruth and BAILDON, John D. On starshaped SHAPIRO, Jay. A non-commutative analog to prime sets and Helly-type theorems, A-664, ideals, A-86. SILVIA, Evelyn M. See SILVERMAN, Herb W.

A-780 SIMANAITlS, D, J. and MacLEAN, William P, Predator/ SMITH, T. and TSOKOS, C.P. On investigation of se­ prey dynamics with age distributions. Preliminary report, quential testing procedures for comparison of stochastic A-263. branching processes. Preliminary report, A-242. SIMON, .Carl P, See SAARI, Donald G. SMOLLER, Joel. See NlSHIDA, Takaaki. SIMON, Jonathan. On determining knots by their comple­ SNIDER, Robert L. Rings whose ideals have projective ments and knot complements by their groups, A-654. covers, A-89, SIMONS, stephen, Convergence theorems and minimax SNIPES, Ray F. The rotational gradient operator. Pre­ theorems, A-339, liminary report, A-248. SIMPSON, J. Timothy, See KELMAN, Robert B. SNOW, Donald R. A new proof of Rayleigh's principle SIMPSON, Timothy and KELMAN, Robert B. Existence, for eigenvalue approximations. Preliminary report, A-198; uniqueness and an algorithmic solution for a dual cosine Summation of sequences by functional equations, A-560. series. Preliminary report, A-165, SNYDER, A.K. and WlLANSKY, A. The bounded consis­ SINE, Robert C. Ergodic properties of homeomorphisms, tency and sequential completeness theorems, A-566. A-588. SNYDER, Herbert H. Holomorphic functions on cyclic ---. See JAMlSON, Benton. group algebras, A-122; Exact calculation of certain Four­ --. See LIN, Michael. ier-Bessel expansion coefficients, A-483; Surface im­ ---. See LLOYD, S.P. pedance boundary conditions for guided EM waves, A-640. ---. See PAKULA, Lewis. SNYDER, Robert L. Vector invariants of algebraic SINGAL, R. P. Some transformations of hypergeometric groups, A-661. series, A-17. SOARE, Robert I. Incomplete recursively enumerable SINGER, David. See GLUCK, Herman. sets, A-24; The infinite injury priority method, A-421. SINGER, David and GLUCK, Herman. The existence of SOBCZYK, G. E. Geometric structures in a certain nontriangulable cut loci. Preliminary report, A-581. Banach algebra, A-446. SINGH, B. P. A note on quasi-nonexpansive mappings, SOLMON, Donald C. Lower dimensional integrability A-632. of LP functions. Preliminary report, A-662. SINGH, Bhagat. Asymptotic nature of nonoscillatory so­ SOLOMON, Louis. Zeta functions and integral represen­ lutions of nth order retarded equations, A-136. tation theory, A-673. --. See DAHIYA, R. S, ---. See ORLIK, P, SINGH, Bhagat and DAHIYA, R.S. On the nonoscillation SOLOMON, R. C. A scattered space that is not 0-dimen­ of Lienard type retarded equations,A-516. sional, A-478. SINGH, K, L. Fixed points for densifying mappings, A-466; SONI, Kusum. A Tauberian theorem for the generalized A note on the spectra of increasing densifying mappings, logarithmic method of summation, A-159, A-630; A note on the eigenvalues of densifying mappings, SONOBE, Osamu, See FITTING, Melvin. A-710. SONTAG, Eduardo D. Matrix-Fatou rings and projective SINGH, S.K. and BARKER, G.P. Slowly changing func­ modules, Preliminary report, A-471. tions and their applications. Preliminary report, A-14. SORENSON, Niels T. A 3-dimensional treatment of SINGH, s. P. Convergence of sequence of iterates. Pre­ N-dimensional non-Euclidean geometries, A-430. liminary report, A-360. SORENSON, John R. A pricing game with elastic de­ SINGH, S. P. and VEITCH, Mary, Fixed point theorems mand, Preliminary report, A-598. for mappings with a convexity condition. Preliminary re­ SPEARS, Nina. A problem involving simultaneous bi­ port, A-423, nary compositions, an improvement in error term,A-64. SINGH, Surjeet. When are rings hereditary noetherian SPEARS, William. See JEFFCOTT, Barbara. prime rings? Preliminary report, A-442. SPEARS, William and JEFFCOTT, Barbara. A construc­ --. See MOHAMED, Saad, tion of combinatorial geometries, A-48. SINGH, Surjeet and KHAN, Musharrafuddin, Modules over SPENCE, Edward, Skew-Hadamard matrices of order Qmp)-rings III. Preliminary report, A-442. 2(q+1), A-303, SINGH, Surjeet and MOHAMMED, Asrar. Rings in which SPENCER, Joel H. See KEELER, Emmett B. every finitely generated left ideal is quasi-projective, SPERB, Rene P. Extension of two theorems of Payne to A-447. some nonlinear Dirichlet problems, A-144. SIWIEC, Frank. Characterizations of some countable SPIELMAN, Jeffrey L. stochastic processes with inde­ T1-, k-spaces having exactly one non isolated point, pendent increments taking values in a Hilbert space, Preliminary report, A-211; A note on identifications of A-593. metric spaces,A-732. SPIRA, Robert. Zeros of Hurwitz zeta functions, A-296, SKALA, Helen, The Petersburg paradox, A-238; A SPIRA, Robert and VILLANUEVA, Antonio. illtrapre­ foundation of hyperbolic geometry, A-575, cise function evaluation, A-520. SKLAR, Abe, Zupnik families and their applications, SPRINGSTEEL, Fred and BENNETT, Paul. Minimal A-564, recognition of biodevelopmentallanguages. Preliminary SLATER, Peter J, Trees with disjoint maximum match­ report, A-256. ings. Preliminary report, A-444. SRINIVASAN, Bhama. The decomposition of some Lusztig­ SLAUGHTER, F. G,, Jr. Closed mapping theory, Pre­ Deligne representations of finite groups of Lie type. Pre­ liminary report, A-731. liminary report, A-669. SLEMROD, Marshall. stabilizability of boundary control SRIVASTAVA, H. M. and PANDA, Rekha. Some analytic systems. Preliminary report, A-357, or asymptotic confluent expansions for functions of several SLOCUM, Richard, Brick partitionings and 2-cells. variables. Preliminary report, A-ll; New generating Preliminary report, A-229. functions involving several complex variables, II. Pre­ SMALL, Charles, Waring's problem Mod n, A-615, liminary report, A-458; An integral representation for the SMITH, David A, A model for perception of optical illu­ product of two Jacobi polynomials. Preliminary report, sions. Preliminary report, A-255. A-558; Some expansion theorems and generating relations SMITH, Harry F. A Wedderburn decomposition forcer­ for the H function of several complex variables. Preli­ tain generalized right alternative algebras, A-705. minary report,A-628, SMITH, Harvey A. Characteristic principal bundles, SRIVASTAVA, Sadanand. Fixed point theorems for A-168, quasi-nonexpansive mappings, Preliminary report, A-461, SMITH, J. C. 0-characterizations of generalized para­ STAHL, Catherine, Systems of additive equations over compact spaces, Preliminary report, A-209; A remark algebraic number fields. Preliminary report, A-6. on irreducible spaces, Preliminary report, A-584. STAHL, Saul. Self-dual embeddings of graphs, Prelimi­ SMITH, Kennan T. Practical and mathematical aspects nary report, A-260; Generalized embedding schemes. of the problem of reconstructing objects from x-rays, Preliminary report, A-535, A-430. STAMPFLI, Joseph G. The maximal numerical range, SMITH, M.L. See LING, W.H. A-572. SMITH, Martha K. Centrality conditions in group alge­ STAMPFLI, Joseph G. and WOGEN, Warren B. Reduci­ bras. Preliminary report, A-397, bility in C* algebras, A-516, SMITH, P. W. See CHUI, C. K. STANOJEVIC, C. V. See BLASS, A.R. SMITH, Paul. See ARKIN, Joseph, ---. See GARRETT, J. W.

A-781 STANOJEVIC, C. V. See GUCCIONE, S.J. SUBRAHMANYAM, P. See SURYANARAYaNA, D. STARBffiD, Michael. See BING, R.H. SUFFEL, Charles. See BECKENSTEIN, Edward, STARK, Betty Salzberg. Another look at Thompson's SUFFRIDGE, Ted J. Starlike functions as limits of poly­ quadratic pairs. Preliminary report, A-670. nomials, A-118; On univalent polynomials, A-410. STARK, H. M. Analytic estimates of discriminants, A-67. SULLIVAN, Francis. Upstream geometry. Preliminary STARK, W. Richard. A new compactness theorem for report, A-185; Some geometrical relatives of the Radon­ infinitary logic, A-36. Nikodym property. Preliminary report, A-567, STASHEFF , James D. Continuous cohomology of groups SUNDARESAN, K. Banach lattices of Lebesgue-Bochner and classifying spaces, A-590. spaces and contractive projections, A-662. STATTON, Ronald. A characterization of commutative SUNLEY, Judith S, Toward a Kronecker limit formula separable algebras. Preliminary report, A-379. for the Siegel modular group of dimension two, Prelimi­ STAVI, Jonathan. Free complete Boolean algebras and nary report, A-65, first order structures, A-326; On Lro;\.-equivalence of SURYANARAYAN, E.R. On the geometry of steady cir­ Boolean algebras, rings and groups, A-714. culation preserving geodesic flow of a gas, A-357, ---. See NADEL, Mark, SURYANARAYANA, D. On a conjecture of S. Chowla, STECHER, M,J. Construction of solutions of parabolic A-62; On a paper of s. Chowla and H. Walum concerning partial differential equations, A-155, A-362. the divisor problem, A-443; Quasiperfect numbers- II, STEGENGA, D. A. Sums of invariant subspaces, A-736. A-501; A generalized Evelyn-Linfoot formula, an improve­ STEHNEY, Ann K. and MILLMAN, RichardS. Rieman­ ment in error term, A-611, nian manifolds with many Killing vector fields, A-580. SURYANARAYANA, D. and RAO, R. Sita Rama Chandra. STEIN, Alan H. Interprimed vectors in two dimensions, Two arithmetical functions associated with k-free and k­ A-63. full integers, A-444; On the true maximum order of a STEIN, E. M. Singular integrals on nilpotent groups, class of arithmetical functions, A-501; On an identity of A-409. Eckford Cohen-II, A-611. STEIN, Junior. Convergence rates for conjugate direc­ SURYANARAYANA, D. and USBRAHMANYAM, P. The tion methods. Preliminary report, A-245. maximal k-free divisor of m which is prime to n, A-443, STEIN, Michael R. Stability theorems for algebraic K­ SURYANARAYANA, M.B. Upper semicontinuity of set functors based on Chevalley groups. Preliminary report, valued functions. Preliminary report, A-405. A-551. ---. See CESARI, Lamberto. STEINBERG, Stuart A. On lattice-ordered rings in SUSSMANN, Hector J. A sufficient condition for local which the square of every element is positive, A-378; Su­ controllability, A-415. l?.el"!;!ni!s in lattice-ordered rings, A-539. SUWA, Tatsuo. Compact quotients of c3 by affine §_Tll;,Pl}NEK, Petr. See BALCAR, Bohuslav. transformation groups, A-677. STEPANEK, Petr and BALCAR, Bohuslav. Embedding SUZUKI, Michio. A D-theorem for a 11"-serial group, Boolean algebras into rigid complete Boolean algebras. A-674. Preliminary report, A-476. SWAN, R.G. See MURTHY, M.P. STEPHENSON, R.M., Jr. See HARLEY, PeterW. III. SWANTON, Donald. Compact composition operators on STEWART, Harlan. A divisibility theorem for higher B(D), A-314. Wronskians, A-507. SWEEDLER, Moss. Galois corings, A-396. STOCKMEYER, Paul K. The enumeration of Boolean SWETT, Allan K. Topological spaces elementarily equi­ graphs. Preliminary report, A-50; The reconstruction valent to the line. Preliminary report, A-328. conjecture for tournaments. Preliminary report, A-305; SWETT, Allan K. and FLEISSNER, W, Topological spaces The reconstruction conjecture for tournaments is false. elementarily equivalent to the line, II. Preliminary re­ Preliminary report, A-537. port, A-646. STOLARSKY, Kenneth B. Nearly uniform distribution of SZETO, George. On rings with no non-trivial annihila­ points on a sphere. Preliminary report, A-577; Digital tors. Preliminary report, A-84, sums and binomial coefficients, A-669. TAFT, E. J. See RADFORD, D, E, STOLL, Manfred, See ROBERTS, James W. TAIBLESON, Mitchell. Every n-dimensional space over STOLL, Wilhelm. Aspects of value distribution theory in a local field has a natural field structure. Preliminary several complex variables, A-557. report, A-401. STONE, C.J. See PORT, S.C. TALL, Franklin D. The density topology. Preliminary STONE, H. E. Matrix representation of simple halfrings, report, A-218; Hereditarily separable spaces and a A-89. theorem of Weiss. Preliminary report, A-334; The den­ STRADE, Helmut. Simple modular Lie algebras and Lie sity topology, II, A-481; Some results concerning the algebras over valuation rings, A-94. hereditarily Lindelllf-hereditarily separable problem, STRA FFIN, Philip D. Identities for conjugation in the A-584. Steenrod algebra, A-489. TAMARI, Dov, See OSONDU, Kevin E. STRANG, Gilbert. Can mathematics be useful?, A-264, TAMURA, Takayuki. Putcha's problem on maximal can­ STRASS, Walter A, See COOPER, Jeffrey. cellative subsemigroups, A-484, STRASSER, E. Rapaport, Planarity of Cayley diagrams: ---. See GALE, Deborah. planar presentations, A-300. ---. See HAMILTON, H. B. STRAUS, Ernst G. See ARKIN, Joseph. TAN, Tey. A characterization of sharply transferable STRAUSS, C.M. SeeBANCHOFF, T.F. join-semilattices, A-614. STRAUSS, M,J. See HUNT, L.R. TAN, W. Y. On the absorption probabilities and absorp­ STRAUSS, Walter A, Energy of waves reflecting off a tion times of finite homogeneous birth-death processes moving body, A-318. and its application to a genetic model of Moran, A-358, STRECKER, Jutta. Cancellation for free products of TANNENBAUM, Peter. On the nonexistence of certain bounded distributive lattices. Preliminary report,A-2. finite projective planes, A-505. STRICKLEN, S.A., Jr. Closed mappings of nowhere TAPPERT, Frederick D. Laser fusion, A-741. locally compact metric spaces, A-345. TARDIFF, Robert M. Closure space structures for STRIETZ, Heinrich. Finite partition lattices are 4-gener­ probabilistic metric spaces, A-220. ated, Preliminary report, A-507. TASHJIAN, Gloria J. Cozero and Baire maps on products STROMMER, Thomas. Arrangements generated by poly­ of uniform spaces, A-333. gons. Preliminary report, A-199, TASSA, Uzi. See FRAENKEL, Aviezri S. STROOCK, Daniel. See HOLLEY, Richard. TATAR, Luc. Global existence for some semilinear hy­ STUBBLEFIELD, B. See BUXTON, M. perbolic systems, A-413, STUCKE, Carl H. Embedding !-dimensional continua in TATTERSALL, James J, See GORA, Edwin K. the product of an arc and a simple triod, Preliminary re­ TAUSSKY, Olga, Norms in quadratic fields and their port, A-346. relation to noncommuting 2 X 2 rational matrices, A-304. STUCKWISCH, Stephen. See HELTON, Jon. TAVIS, C. C. On a comparison theorem for scalar Ric­ STUFF, Mark. See GANDHI, J. M. cati equations, A-412. SUBBARAO, M. V. See GIOIA, A.A. TAYLOR, Alan D. See BAUMGARTNER, James E. SUBBIAH, S. See MAGILL, K. D., Jr. TAYLOR, B.A. See RAUCH, J.B.

A-782 TAYLOR, Harold D. On the limiting behavior of infinitely TRACY, D. S. , MIKHAIL, N. N. and DWYER, C, E. Cox. many queues in tandem with identical service time distribu­ The multivariate moments of weight 6 or moment-statis­ tions, A-238. tics for samples drawn from a finite population, A-244. TAYLOR, J. and ROSSI, H. A generalization of a theorem TRAUX, Donald R. See BOOK, stephen A. of Sibcny-Wermer, A-736. TRAVIS, C. C. and WEBB, G. F. Partial functional dif­ TAYLOR, Keith F. The structure of the regular represen­ ferential equations, A-725. tation of a locally compact group, A-634. TRENCH, William F. Linear differential equations sub­ TAYLOR, M.A. Functional equations and closure condi­ ject to integral smallness conditions involving ordinary tions. Preliminary report, A-561. integrability, A-140. TAYLOR, Robert L. The impact of the finite element TRETKOFF, Marvin. Covering spaces and HNN exten­ method on structural engineering, A-264. sions, Preliminary report, A-300. TAYLOR, Walter. Varieties obeying group laws in TREVES, Francois. Fourier integral operators with homotopy, A-451; Varieties of topological algebras, A-506; complex phase, A-194, Topological laws for topological varieties, A-618. TREYBIG, L. B. See BOROSH, I. TAYLOR, Walter. See MYCIELSKI, Jan. TRIGGIANI, Roberto. On the implication: controllability TEAGUE, T.K. Some embedding theorems for groups, ~stabilizability in Banach space, A-470. A-623. TRIMBLE, S, Y. See SHAH, S, M. TEFTELLER, S.C. Boundary value problems for second TRIPP, John. Constructing multiplications on Banach order nonhomogeneous differential systems, A-338. spaces, A-468. TELAGE, D.N. See SILVERMAN, H. TROTTER, William T., Jr. and MOORE, John I., Jr. TELLER, J. Roger. Some properties of retractable The dimension of planar posets. Preliminary report, groups. Preliminary report, A-538. A-44; The dimension of a tree is at most three. Prelimi­ TEPLY, Mark L. Semi-prime and prime splitting rings. nary report, A-45. Preliminary report, A-88. TROY, William c. Oscillations in a third order differen­ TERRAS, A. A formula relating lK(s) and lK(2-s) tial equation modeling a nuclear reactor, A-458. for K totally real with class number one, A-58. TROY, William C. and FIELD, Richard J. The amplifi­ TERRAS, Riho. A stopping time problem on the positive cation before decay of periurbations around stable states integers, A-58. in a model of the Zhabotinskii reaction,A-316. TERRY, Raymond D. Positive solutions of the equation TROYER, Stephanie F. See FRANCIS, George K, (E): J)ll[r(t)])lly(t)]; p(t)y[t- T(t)], A-737. TRUFFAULT, Bernard. See COMERFORD, Leo, THANAPALAN, P, T, Daniel. On bitopological (P)-spaces, TSOKOS, Chris. See MILTON, Susan. A-527. ---. See RAO, A.N. V. THAYER, F. Javier. Complete reducibility of representa­ ---. See SMITH, T. tions. Preliminary report, A-315; Almost diagonal C-* al­ TSOKOS, ChrisP. and RAO, A. N. Existence and stability gebras, A-462. behavior of a class of stochastic functional integral equa­ THO, Vo Van. See DeKORVIN, Andre. tions. Preliminary report, A-236. THOMAS, David and ROY, Prabir. Symmetric products TUCKER, Charles. Concerning IT-homomorphisms of of cubes. Preliminary report, A-650. Riesz spaces, A-176; A theorem related to Baire functions, THOMAS, John G., Jr. See DEBNATH, Lokenath. A-484. THOMASSEN, Carsten. See HARARY, Frank. TUCKER, Howard G. See HUDSON, William N. THOMPSON, Lee D. Method for teaching introduction to TUCKER, Thomas W. Surfaces in noncompact 3-mani­ computer science. Preliminary report, A-259. folds. Preliminary report, A-229. THOMPSON, R. C. Singular values and diagonal elements, TURNER, Edward C. See GOLDSTEIN, Richard Z. A-82. TUTTE, W. T. See BERNHART, Frank. THOMSON, James E. Commutants of analytic Toeplitz TYMCHATYN, E.D. See GRISPOLAKIS, J. operators. Preliminary report, A-190. UBHAYA, Vasant A. Duality in approximation and THORP, Edward. Recent results and open questions for conjugate cones in normed linear spaces, A-22. some particular games. Preliminary report, A-254. UHL, J.J., Jr. Weak compactness in the space of THRASH, Joe B. On improving the convergence of im­ Bochner integrable functions, a sad state of affairs, A-569. proper integrals, A-320; A limit form of the Ep-transfor­ ULAM, S.M. See BEDNAREK, A. R. mation,A-356. UNDERHILL, W, Vance. Matrix summability theorems THRIVIKRAMAN, T. A net characterisation of Herrlich•s involving a certain class of sequences, A-158. k-compactness, A-331. UNDERWOOD, Robert G. A functional differential equa­ THURBER, Edward G. On addition chains concerning the tion approach to solving infinite games, A-253. equality J.(2n) =.l.(n), A-6. UTZ, W.R. Periodic solutions of second order differen­ TILLER, John. On constructing reflective and coreflective tial equations with non-linear, non-differentiable damping, bulls with sinks and sources. Preliminary report, A-441. A-412. TING, Ann-Sheng Chien. On the convergence of a class VAGI, Stephen. See KOMNYI, Adam. of derivative-free minimization algorithms, A-357. VALENTINE, J,E. See LOVELAND, L.D. TING, Wei-Lung. On characteristic classes. and multi­ VAN BUSKIRK, J.M. See GILLETTE, R.M. foliate structures. Preliminary report, A-653, VANCE, R. Neil. Homotopy equivariant group actions. TOLLEFSON, Jeffrey L. A 3-manifold with no PL invo­ Preliminary report, A-590. lutions, A-231. VANDERJAGT, Donald W. See LESNIAK, Linda. TONG, Monbill. Trjitzinsky theorem in the product space VAN DOUWEN, EricK. Maps onto Baire spaces, A-585; of two abstract measure spaces, A-115. Extension properties, A-732. TOU:O, Aaron. hnages of linear pseudocomplete spaces, VAN METER, R. G. Permutation polynomials in n inde­ A-186. determinates over a finite field, I, A-660; Permutation TOOMER, Graham H. The comparison theorem for weak polynomials in n indeterminates over a finite field, II, fibrations. Preliminary report, A-482; Realizing the A-721. quotients of the lower central series naturally, A-717. VANOSDOL, Donovan. Principal homogeneous objects as TORALBALLA, Lecpoldo V. A topological measure­ representable functors. Preliminary report, A-98; Prin­ theoretic approach to dimension theory, A-199. cipal homogeneous objects as representable functors, II, TORALBALLA, Leopolda V, and ALPERT, Louis I. On A-684. the existence of the differential of a function of several VAN OYSTAEYEN, Freddy. See GOLAN, Jonathan S. real variables, A-115. VAN THO, Vo. See THO, Vo Van. TORCHINSKY, A. See CALDERON, A.P. VARADARAJAN, V.S. See ENRIGHT, Thomas J. TORRANCE, Ellen. See CHAWLA, L.M. VARGA, R.S. See SAFF, E. B. TORTORELLA, Michael and LEISE, James A. The uni­ VAUGHAN, Jerry E. Some properties related to [a, b]­ tarity equations for matrices and the problem of deter­ compactness. II, A-213; A generalization of Tychnoffls mining the scattering amplitude from the differential cross­ product theorem, A-585. section, A-251. VAUGHAN, N.H. and YEAGY, R.W. Factorization of TRACY, D.S. See MIKHAIL, N.N. ideals into semiprime ideals in an almost Dedekind

A-783 domain, A-79. See GRAMS, Anne. VAUGHAN, Theresa P. See BYRD, Kenneth A. WARNER, Seth. See BECKENSTEIN, Edward. VEGH, Emanuel. Addition chains. Preliminary report, WARREN, Joseph. Rate of growth of spiral functions, A-2. A-121. VEITCH, Mary. See SINGH, S.P. WARREN, Richard H. Boundary of a fuzzy set in a fuzzy VELDKAMP, Ferdinand D. Regular elements in anisotro­ topological spaces, A-219. pic tori, A-549. WASON, James R. Metrics of non-negative curvature on VENEMA, Gerard A. Embeddings of compacta with shape s3x s3. Preliminary report, A-580. dimension in the trivial range, A-652. WATERMAN, Daniel. On the summabUity of Fourier VERMA, H. K. Deep-bed grain drying-a mathematical series of functions of A-bounded variation,A-164; On ab­ model, A-21. solute high indices theorems. Preliminary report, A-415; VERMA, Sadanand. On operational methods via matrix On generalized bounded variation. Preliminary report, operators for a system of ordinary differential equations. A-552. Preliminary report, A-141. WATKINS, J. See BREWER, J. VERNER, Lawrence. A mean value formula for the Spin WATKINS, Mark E. See IMRICH, WUfried. group, A-592. WEAVER, George and WOODRING, Ken. A uniform In­ VERRET, Joseph S. Algorithms for presenting certain terpolation lemma in second order logic, A-647. commutator subgroups, Abstract, A-552. WEAVER, James R. The existence of a normal Sylow VIT..LANUEVA, Antonio. See SPIRA, Robert. p-subgroup or a normal p-complement, A-101. VISWANATH, Guttalu R. On convex univalent functions. WEBB, Cary. Graded modules bounded below are direct Preliminary report, A-317, A-490. sums of cyclics. Preliminary report, A-400. VITALE, Richard A. Linear transformations of plane ---. See GIDBONS, J. convex sets. Preliminary report, A-665. WEBB, Glenn F. Numerical approximation of nonlinear VOBACH, A. R. The weak topology on logical calculi, A-34. functional differential equations with L2 initial functions, VOLGER, Hugo. The Feferman-Vaught theorem revisited. A-727. Preliminary report, A-524. ---. See TRAVIS, C. C. k _ 1 1 VOLK, Benjamin. On the Riemann hypothesis, A-379; j:VEBB, William A. On the unsolvabllity of /n- /x + /y + Riemann zeta function approximations, A-439. /z. Preliminary report, A-485. VORA, Chandan S. Extension of Lefschetz fixed point WEGENER, Delano P. and WEHLEN, Joseph A. A com­ theorem for weighted maps of a compact A-ANR. Preli­ puter test of a conjecture about primitive Pythagorean minary report, A-653; Fixed point theorems for certain triples. Preliminary report, A-304. compact weighted maps of a manifold. Preliminary report, WEGNER, Ronald. See BALLEW, David. A-716. WEHLEN, Joseph A. Locally noetherian rings are weak VOTRUBA, George F. and BANAUGH, Robert P. A quad­ inertial coefficient rings, A-304. ratically convergent iterative procedure for solutions of ---. See WEGENER, Delano P. equations of the second kind. Preliminary report, A-247. WEIL, Clifford E. See O'MALLEY, Richard J. WAGE, Michael L. Countable paracompactness, nor­ WEINBERGER, H. F. Conditions for a local Pareto opti­ mality, and Moore spaces, A-730. mum in a Banach space, A-419. WAGNER, Daniel H. Semi-compactness with respect to WEINBERGER, P.J. On the number of normal number a Euclidean cone. Preliminary report, A-576. fields, A-74; Proving polynomials irreducible using the WAGON, stanley. Characterizing K+-saturated ideals Riemann hypothesis, A-682. on K which are strong,A-665. WEINER, Joel L. Global properties of spherical curves, ---. See BAUMGARTNER, James E. A-738. WAGSTAFF, SamuelS., Jr. Fermat's last theorem is WEINSTOCK, Barnet M. Uniform approximation on weakly true for all exponents less than 58150. Preliminary re­ pseudoconvex domains. Preliminary report, A-637. port, A-507. WEISS, Gary. Indecomposable Hilbert-Schmidt operators, WAID, Carter. A composition theory for decomposable A-192. forms. Preliminary report, A-66. WEISS, Guido. Interpolation on HP spaces and some of WAINGER, Stephen. See NAGEL, Alexander. their generalizations. Preliminary report, A-192; The use WALDMULLER, Bernd. The nonexistence of finite simple of Hardy spaces and their generalizations in harmonic groups with 82-subgroups of type A12· Preliminary re­ analysis, A-414. port, A-705. WEISS, Neil A. See CRANWELL, Robert M. WALKER, Homer F. An existence theorem for first­ ---. See PORT, S.C. order elliptic operators in Rn. Preliminary report, A-144. WEISS, W. A. R. A solution to the Blumberg problem. Pre­ WALKER, Philip W. Certain second order boundary value liminary report, A-217; Countably compact, perfectly problems, A-139. normal spaces may or may not be compact. Preliminary WALL, Charles R. Elimination sequences. Preliminary report, A-334. report, A-64. WEITSMAN, A. W. See HAYMAN, W. K. WALLACH, Nolan R. A representation theoretic proof of WELLS, Charles. An extension of the Krohn-Rhodes a formula of Max No ether, A-114. theorem, A-378. WALSH, John J. Monotone and ligbt open mappings on WELLS, R.O., Jr. Poincare's equivalence for real hy­ manifolds. Preliminary report, A-478. persurfaces in vn, A-678. WALTER, John H. Characterization of Chevalley groups. WEN, Shih-Liang. Higher order corrections to the Preliminary report, A-675. boundary layer equations, A-249. WANG, A.P. See HECHT-NIELSEN, R. WENDROFF, Burton. Numerical methods for conserva­ WANG, Chin San. Embedding graphs In the projective tion laws, A-153. plane. Preliminary report, A-657. WERNER, Heinrich. See BURRIS, Stanley. WANG, James Li-Ming. The behaviour of the functions in WESLEY, Eugene. Measure structure for function spaces. R(X) near a point, A-737. Preliminary report, A-431; Borel preference orders in WANG, Johnson C.K. and LUH, Jiang. The structure of markets with a continuum of traders, A-658. a certain class of rings. Preliminary report, A-296. WEST, James E. Compact ANR•s have finite homotopy WARD, J.D. See CHUI, C.K. type. Preliminary report, A-343. WARD, L. E., Jr. The Hahn-Mazurkiewicz theorem for WESTON, K. W. See NEWMAN, M. F. rim-finite continua, A-215. WHEELER, Robert L. See JORDAN, G.B. WARNE, Ronson J. Generalized orthodox bisimple semi­ WHITE, Albert. See DIMINNIE, Charles. groups of type w, A-450; Generalized orthodox locally in­ WHITE, Arthur T. Block designs in graph imbeddings. verse bisimple semigroups of type w, A-502; Orthodox Preliminary report, A-533. locally inverse bisimple semigroups of type w, A-612; WHITE, H. E., Jr. First countable spaces having special strictly regular semigroups, A-704. pseudo-bases, A-583. ---. See LOOMIS, Irene. WHITE, James Martin Stephens, Jr. Topics related to WARNER, Hoyt D. Group, round, and Pfister forms over homogeneity. Preliminary report, A-729. a linearly compact field. Preliminary report, A-70.

A-784 WHITE, R. E. Local solutions for quasi-linear semi­ WOLF, Carol E. and LINDAUER, Judith G. A stochastic elliptic differential equations. Preliminary report, A-151. automata model of the game "Prisoner's Dilemma". Pre­ WHITE, Warren. Existence of solutions to the coagula­ liminary report, A-322. tion equations. Preliminary report, A-736. WOLF, Joseph A. See CAHN, Robert S, WHITE, William L. A subclass of Bazilevic functions. WOLFE, John. Equivalent strictly convex increasing Preliminary report,A-461. norms on C(S) spaces. Preliminary report, A-180. WHITEHEAD, E. G., Jr. Difference sets and sum-free WOLFE, stephen J. On the unimodality of spherically sets in groups of order 16, A-302. symmetric stable distribution functions, A-239. WHITESIDES, Sue. Collineations of order 10 planes. WOLFE, William. Asymptotic distribution of lattice points Preliminary report, A-201. in hyperbolic space. Preliminary report, A-358. WHITLEY, W. T. Another characterization of semi­ WOLFF, Harvey. Free triples and the orthogonal subcate­ prime ideals in C(X), A-207 gory problem, A-99. WHITTEN, Wilbur. Groups and manifolds characterizing WOLFOWITZ, J. Signaling over a Gaussian channel with links, A-224. feedback and autoregressive noise. II. A-20. WICHMANN, Josef. On commutative B*-equivalent al­ WOLPERT, Scott. Non completeness of Weil-Petersson gebras, A-178. metric for TeichmUller space. Preliminary report, A-469. WICKE, Howard H. Primitive structures and diagonal WONG, James C. S. Generalised functions on locally com­ conditions, A-587; An example of a weak 8-refinable pact semigroups and invariant means. Preliminary report, .K.-compact Trspace which is not meta-Lindelttf, ~-734. A-318. WlCKE, Howard H. and WORRELL, J. M., Jr. Pomt­ WONG, Pak-Ken. The p class in a dual B*-algebra, countability and compactness, A-220; The hereditary Preliminary report, A-178. Lindelttf property, primitive structures, and separable WONG, Raymond Y. T. On the problem of Hilbert cube metrizability, A-425. factors. Preliminary report, A-225. WIDMAN, Kjell-ove. See HILDEBRANDT, stefan. WOOD, Bruce. See BOWNDS, John M. WIEGAND, Roger. Dimension functions on the prime WOOD, David H. All simple Riemann functions are known spectrum, A-77. for self-adjoint equations, A-662, WIEGAND, Roger and WIEGAND, Sylvia. The maximal WOOD, John W. See KULKARNI, Ravindra S. spectrum of a Noetherian ring. Preliminary report, A-76. WOODRING, Ken. See WEAVER, George, WIEGAND, Sylvia. See WIEGAND, Roger. WOODS, John M. Homology of finite cyclic coverings. WIEGOLD, James, See BRENNER, J. L. Preliminary report, A-229. WIENER, Jeffrey C. Quadratic differentials. Preliminary WOODS, R. Grant. Characterizations of separable extrem­ report, A-119, ally disconnected Tychonoff spaces, A-530, WIGGS, J. F. Boundedness of solutions to ordinary dif­ :_ __ . See GINSBURG, John. ferential equations using Liapunov functions. Preliminary ---. See RAJAGOPALAN, M. report, A-138, WOROSZ, Theophil J. Multiple-valued functions and their WIGNER, David. Inverse limits and the completeness of application to the fixed point properties of product spaces, quotient groups, A-209. Preliminary report, A-655, WILANSKY, A. See SNYDER, A.K. WORRELL, J. M., Jr. Base of countable order theory. WILBUR, W. John. Complete projective logics and nor­ Preliminary report, A-732. malizations. Preliminary report, A-390. ---. See WICKE, H. H. WILF, Herbert S. An algorithm for the chromatic polyno­ WRIGHT, David. Algebras which resemble symmetric mial, A-534, algebras. Preliminary report, A-77. WILLE, R. See HERRMANN, C. WRIGHT, E. M. The proportion of unlabelled graphs which WILLIAMS, D. L. See SHIELDS, A. L. are Hamiltonian, A-1; Bounds on the minimum degree of WILLIAMS, Julian. Relation modules as generators. Pre­ a node in almost all graphs on n nodes. Preliminary re­ liminary report, A-395. port, A-440. WILLIAMS, Lloyd K. Y' = G(X,Y), GEC', A-133. WU, Ching-Jung. See SEIDEN, Esther. WILLIAMS, Scott. Covering properties in products and WU, Jang-Mei Gloria. Convexity of harmonic functions, yet another cardinal function. Preliminary report, A-584. A-16; An integral problem for positive harmonic functions. WILLIAMS, Scott and GEWAND, M. Products with Lin­ Preliminary report, A-309. del!lf spaces. Preliminary report, A-223. WU, Pei Yuan. Commutants of Co(N) contractions. Pre­ WILLIAMSON, Jack, See HELLERSTEIN, Simon. liminary report, A-630. WILLIAMSON, James E. Maximally nonhamiltonian-con­ ---. See CONWAY, John B. nected graphs. Preliminary report, A-46. WU, T.S. See McMAHON, Douglas. WILLIS, Patricia S, Computer symbolic integration of WULCZYN, Gregory. Isomorphic Pellian quadratic forms non-linear differential equations: progress report, A-245. and their associated continued fraction expansions. Preli­ WILLIS, Paul A. Distortion mappings ill: progress report, minary report, A-59. A-258. WUNDERLICH, M. C. See SELFRIDGE, J. L. WILLIS, S, P. Dualities between categories of locally com­ XEROUDAKES, George F. On Fermat's last theorem, pact modules, Preliminary report, A-302. A-295; On Pythagorean triangles, A-624. WILLSON, stephen J. Applications of an equivariant uni­ YANG, Chung-Chun. On the factorization of entire functions. versal coefficient theorem, A-590. Preliminary report, A-316, WILSON, Edward N. See AZENCOTT, Robert. YANG, J.S. See CRABTREE, L. H. WILSON, R. L. See RADFORD, D. E. YAO, Andrew C. Recent developments on minimum span­ WILSON, Robert L., Jr. Quasidirect products of quasi­ ning trees, A-597. groups, A-105, YASUHARA, Mitsuru. The axiom of choice in Church's WILSON, Robert Lee, Recent advances in classification type theory. Preliminary report, A-34. of simple Lie algebras, A-94. YEAGY, R.W. See VAUGHAN, N.H. WILSON, Robert R. Lattice orderings on the real fields, YEE, Lone Young. Double commutators in R2 , A-414. A-51. YEH, R. T. See BANG, S. Y. WINARSKY, Norman. Reducible principal series for p­ YELLEN, Jay. On solvability of certain groups of cen­ adic Chevalley groups, A-687. tral type. Preliminary report, A-104. WINOGRAD, Shmuel. Some results in arithmetic complex­ YESHA, Yaacov. See FRAENKEL, Aviezri S. ity, A-598. YODER, Lane. Functions of different strong and weak WINTER, David J. Normal field extensions and K/k-bial­ ~-variation, A-318. gebras, A-400. YORE, Cleon. Representing the automorphism group of WITSENHAUSEN, H. s. A support characterization of a noetherian module, A-398. zonotopes. Preliminary report, A-576. YORKE, James. See KELLOGG, R. Bruce. WOEPPEL, James J, See BAARTMANS, Alphonse H. YOUNG, Eutiquio C. Comparison and oscillation theorems WOGEN, Warren B. See STAMPFLI, Joseph G. for singular hyperbolic equations, A-148. WOHLGEMUTH, Andrew. See McCARTHY, Donald, YOUNG, H.P. See KESTENBAND, B. WOLF, Albrecht. Sheaves of rings and arithmetical alge­ YOUNG, Robert M. On perturbing bases of complex ex­ bras. Preliminary report, A-8; Decidability for Boolean ponentials in L2 (-11', 11'), A-174. algebras with automorphisms, A-648. YOUNG, Wo-Sang. Mean convergence of generalized A-785 Walsh-Fourier series, A-404. II. Preliminary report, A-382; Identities for integer se­ YUAN, Tah-Zen. See NEWMAN, M. F. quences involving the greatest integer functions. X. Pre­ ZAFRAN, Misha. Measures as convolution operators liminary report, A-450; Ulam•s sequence, {Un}• u1 = 1, on H1 and Lip a, A-166. u2 = 2, is a complete sequence, A-707. ZAFRULLAH, M. See COSTA, Doug. ZEMEL, Eitan. See BALAS, Egan. ZAIDMAN, S. Linear operators on Sobolef spaces, A-9; ZENOR, Phillip. Countable paracompactness of Fu-sets, Convexity result for weak differential inequalities, A-309; A-215; Continuous PN-operators, A-583. Weak Cauchy problems for abstract differential equations, ZERLING, David. (CA) topological groups, A-111. A-384; Lower bound for solutions of weak evolution in­ ZICARELLI, John. See ARMSTRONG, Robert. equalities. Preliminary report, A-628; Asymptotic re­ ZIEGLER, Martin. See RAUTENBERG, Wolfgang. sult for weak differential inequalities. Preliminary report, ZIEMER, William P. See MEYERS, Norman C. A-662; A regularity property of abstract differential equa­ ZIGLER, W.R. See KARTSATOS, A. G. tions. Preliminary report, A-709. ZIMERING, Shimshon. A generalization of Mercer's ZAKS, Joseph. Pairs of Hamiltonian circuits in 5-con­ theorem for regularly varying sequence, A-311; A remark nected planar graphs, A-506. about slowly varying sequences, A-383; Some properties ZAME, William R. Some analytic uniform algebras. Pre­ of regularly varying functions, A-455. liminary report, A-130. ZIMMER, J.A. ISomorphisms ofhypergraphs and graphs, ZASLAWSKY, Elaine. Decomposition matrices and Car­ A-537. tan matrices of some finite simple groups, A-426. ZINK, Robert E. and SHIREY, James E. Unconditional ZASSENHAUS, Hans. See SCRANDIS, Ann. bases for certain Banach function spaces, A-570. ZEITLIN, David. Identities for integer sequences invol­ ZITARELLI, David E. Compatible extensions of semi­ ving the greatest integer functions. VI, A-266; Identities groups, A-102 for integer sequences involving the greatest integer func­ ZLOTKIEWICZ, E.J. See LIBERA, R.J. tion. VIII. Preliminary report, A-304; Identities for in­ ZUBER, Kenny. See ANDERSON, Bill. teger sequences involving the greatest integer function. ZUPNIK, David. Cayley sets, A-564.

A-786 INDEX Volume 22 (1975)

ABSTRACTS PRESENTED TO THE SOCIETY, A-1, A-295, Louis Dale, 159 A-377, A-439, A-501, A-611, A-703 Nathan J. Divinsky, 107 Errata-Volume 21, A-266 Edward R. Dougherty, 291 Volume 22, A-362, A-490, A-600, A-689 Richard S. Ellis , 106 Index of Abstracts-Volume 22, A-755 M. Solveig Espelie, 246 Jonathan S. Golan, 106 ASSISTANTSHIPS AND FELLOWSHIPS Mario 0. Gonzalez, 185 In Mathematics in 1975-1976 (Supplementary List), 114 R. J. Greechie, 246 In Mathematics in 1976-1977, 381 Jonathan L. Gross, 371 Theodore E. Harris, 185 BACKLOG OF MATHEMATICS RESEARCH JOURNALS, Robert Hermann, 247 113, 245 Harry Kesten, 247 DOCTORATES CONFERRED Victor Klee, 292 Morris Kline, 292 In 1973-1974 (Supplementary List), 69, 330 Serge Lang, 291 In 1974-1975' 309 Richard K. Lashof, 292 ERRATA, 93 William J. LeVeque, 371 ERRATA, TO ABSTRACTS, A-266, A-362, A-490, A-600, Ronald L. Lipsman, 371 A-689 Harriet M. Lord, 75 Saunders Mac Lane, 75, 292 FEATURE ARTICLES, By Title stephen B. Maurer, 371 Acknowledgements, 250 Kenneth 0. May, 185 Actuarial Careers for Mathematicians, 286 Barbara L. Osofsky, 107 Case Studies, Some Mathematicians with Nonacademic Klaus Peters, 291 Employment, 100, 181, 241, 355 R. A. Rosenbaum, 107 Combined Membership List 1975-1976, 156 Alice T. Schafer, 107 Conversion of Teaching Assistantships to Junior Faculty Charles Small, 186 Positions, 366 Douglas D. Smith et al., 247 Executive Director, American Mathematical Society, Richard Tapia, 158 288 Donald Wehn, 291 Executive Editor, Mathematical Reviews, 290 MEETINGS OF THE AMS Future Job Prospects for Ph. D.'s in the Mathematical Abstracts Presented to the Society, A-30, Sciences, 377 A-335, A-394, A-483, A-531, A-657, A-718 Galo Gomez Oyarziin, 103 Calendars of Meetings, Inside front cover National Science Foundation Budget, 105 Preliminary Announcements Nineteenth Annual AMS Survey, 303 March: Mobile, Alabama, 60 Nominating Committee and the Preferential Ballot, 279 New York, New York, 61 Nominating Committee for 1976, 192 April: St. Louis, Missouri, 62, 94 Nominations for Vice-President or Member-at-large, Monterey, California, 63, 96 190 June: Pullman, Washington, 97, 141 Nonacademic Employment of Ph.D.'s in the Mathemati- August: Kalamazoo, Michigan, 142, 166 cal Sciences, 152 October: Cambridge, Massachusetts, 238 Public Understanding of Mathematics, 363 November: Chicago, lllinois, 179, 238 Report of the President for 1974, 66 Blacksburg, Virginia, 239, 265 1975 Report on Employment Data and Academic Mathe­ Los Angeles, California, 240, 266 matics, 357 January: San Antonio, Texas, 268, 340 Sex, Race and Citizenship of New Doctorates, 1974- March: Tallahassee, Florida, 352 1975, 308 Urbana, lllinois, 353 Some Thoughts on the Role of Applications in the De­ Programs of Meetings velopment of Ph. D.'s in Mathematics, 380 January: Washington, D. C. , 2 March: Mobile, Alabama, 84 FEATURE ARTICLES, By Author New York, New York, 88 R. D. Anderson, 357 April: St. Louis, Missouri, 130 Wendell H. Fleming, 152, 377 Monterey, California, 139 Saunders Mac Lane, 66 June: Pullman, Washington, 164 Cecil J. Nesbitt, 286 August: Kalamazoo, Michigan, 206 John A. Nohel, 380 October: Cambridge, Massachusetts, 256 Martha K. Smith, 366 November: Chicago, lllinois, 259 Lynn A. Steen, 363 Blacksburg, Virginia, 332 INVITED SPEAKERS AT AMS MEETINGS, 59, 99, 151, Los Angeles, California, 337 180, 240, 277' 354 Short Course On Mathematics in Operations Research, Washing­ LETTERS TO THE EDITOR, 75, 106, 158, 185, 246, 291, ton, D. C. , 2, 7 371 On Applied Combinatorics, Kalamazoo, 142, 166, J, C. Abbott, 246 174, 206, 214, 223 F. G. Asenjo, 106 On Mathematical Aspects of Production and Dis­ Lipman Bers et al., 75 tribution of Energy, 26 8, 340, 348 S. c. Bhatnagar, 246 R. P. Boas, 108 NEW AMS PUBLICATIONS, 79, 127, 157, 201, 252, 284, E. Brieskorn, 107 372

A-787 SALARY SURVEY, Nineteenth Annual, 303 NEWS ITEMS AND ANNOUNCEMENTS, 56, 65, 68, 81, SEMINARS AND INSTITUTES rn,m,w.~.~.~.~.m.~ 1975 Summer Research Institute on Several Complex Variables, 64, 98, 278 ORGANIZERS AND TOPICS OF SPECIAL SESSIONS, 59, 1975 Summer Seminar in Applied Mathematics (Modern 99, 151, 180, 237, 277, 354 Modeling of Continuum Phenomena), 64, 98, 278 PERSONAL ITEMS, 73, 109, 162, 200, 244, 289, 370 SITUATIONS WANTED, A-267, A-363, A-432, A-491, A-601, A-689, A-744 QUERIES, 71, 123, 162, 198, 249, 302, 374

SPECIAL MEETINGS INFORMATION CENTER, 76, 120, RESERVATION FORMS, A-294, A-438, A-500, A-'100, 160, 194, 248, 294, 367 A-702, A-754 SPECIAL SESSIONS, ORGANIZERS AND TOPICS, 59, 99, 151, 180, 237' 277' 354 SUMMER GRADUATE COURSES, 116 (Supplementary List), 161 SYMPOSIA Symposium on Some Mathematical Questions in Biology, TAX STATUS OF GRANTS,451 New York, 57 Symposium on Some Mathematical Questions in Biology, VISITING MATHEMATICIANS, 298 Boston, Massaclmsetts, 267, 352 (Supplementary List), 78, 119, 369 Symposium on Theory vs. Practice in the Finite Ele­ ment Method, New York, 58

A-788 Sixth Edition 1975 GUIDEBOOK TO DEPARTMENTS IN THE MATHEMATICAL SCIENCES IN THE UNITED STATES AND CANADA ... provides information in summary form about the location, size, staff, library facilities, course offerings, and special features of both undergraduate and graduate departments in the Mathematical Sciences. The Sixth Edition contains a new list of Specialized Departments in the Mathematical Sciences, including Biomathematics, Computer Science, Information Science, Operations Research, Statistics, and others. 100 pages and 1350 entries. Price: $3.00 Copies may be purchased from: MATHEMATICAL ASSOCIATION OF AMERICA 1225 Connecticut Avenue, NW Washington, D. C. 20036

q MRTHEMRTICRL SCIENCES 1 76 administrative directory

• Chairmen of Academic Departments in the Mathematical Sciences in the U.S. and Canada coded according to the highest degree offered; • Heads of Nonacademic Research Groups; • Heads and key personnel of a selected group of Govern­ ment Agencies; • Editors of Mathematics Journals; • Officers and Committee Members in twenty-three Profes­ sional Mathematical organizations; List Price SS.OO Member Price $2.50 • An Index for colleges and universities. Code: ADMDIR/76 Prepayment Re< u Rnnex Station {.) 0 c:: ~ Post Office Box 1571, G) c:: Cia = "0 ... (.1.:1 0 ·;;: ::s ...0 ... Providence. Rhode Island 02Q01 I ~ c,; c.. ~ :.cooocccccccccoOOO"'.AOCCOCOCOOCCCCOOO""...ccooccccooooO""~