Ph. D. Programs for the Past Departments Or Schools Would Drop Colleagues Twenty Years and Are Not Typical

------~hlIMPORTANT ADVISORY FOR GRADUATE STUDENTS IN MATHEMATICS

In the past several years the jolJ prospects for ,1 recent recipient of a Ph D. degree in the mathematical sciences have changed from excellent to poor. All indications are that this rapid deterioration will accelerate over the next few years, and that the decade 1974-19H5 will be exceedingly bleak. The report of the chairman of the AMS Committee on Employment and Educational Policy should be read by everyone who is plfrnning to enter a career in mathematics in order to become acquainted with the facts concerning present and future employment. The first part of the report appeared in the November l!J7:l issue of these c\~/m•JJ, pages 34ti-352, and the second part appears in this issue, pages :lfi7-:l72. The action taken in response to these facts must, of course, be determined on an individual basis. Many will feel that for them mathematics is a calling and a way of life that must be followed at whatever cost and sacrifice. They will be undeterred by the prospect of difficulties and, hopefully, will be successful in finding suitable career opportunities. The Americ

Everett Pitcher and Gordon L. Walker, Editors WendeD H. Fleming, Associate Editor CONTENTS

JOBS AND PH.D.'S IN TilE MATIIEMATICAL SCIENCES, II. • • •• • • • • • • • • • 367

IS TillS DOCTORAL PROGRAM NECESSARY? • • • • •• •• • • • • • • • • • • • • • • • • • • • 371

ASSISTANTSHIPS AND FELLOWSHIPS IN MATHEMATICS IN 1974-1975

I. FOR GRADUATE STUDY AT UNIVERSITIES...... 373 IT. STIPENDS FOR STUDY AND TRAVEL...... 437

Graduate Support ...••••••••••••. ~~ ••••• 437 Postdoctoral Support ••••••••••••••••••• 439 Travel and Study Abroad • • • • • • • • • • • • • • • • 444 Study in U.s. for Foreign Nationals • • • • • • 447 Sources of Fellowship Information. • • • • • • • 447

TAX STATUS OF GRANTS • •• • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • 449

INDEX OF ABSTRACTS, Volume 20 • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • A-693

INDEX, Volume 20 ...... a • • • • • • • • • • • • • • • • • • • • • A-725 FOREWORD

The fifteenth Special Issue of these c}/ofiai) contains lists of assistantships and fellowships available in mathe matics and related sciences for the academic year 1974-1975 for graduate study at universities and stipends available for travel and study, Indexes for·abstracts and articles published in these c}/otiJxi) during 1973, a short article on the tax status of grants and two special articles are also included. The list of assistantships and fellowships at universities includes 449 departments of mathematics, applied math ematics, statistics, computer science, and related mathematical disciplines; these represent 329 colleges and univer sities. 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 been used: Bachelor' s by inst. Number of bachelor• s degrees awarded J:?y 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. (1970-1973 incl.) Doctoral degrees awarded during last three years (1970-1971, 1971-1972, and 1972-1973) A&NT Algebra and Number Theory G&T Geometry and Topology L Logic A& FA Analysis and Functional Analysis P&S Probability and Statistics cs Computer Science and Numerical Analysis AM Applied Mathematics

The .cJVofiai) 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. Price per annual volume is $10. Price per copy $3. Special price for copies sold at registration desks of meetings of the Society, $1 per copy. Subscriptions, orders for back numbers (back issues of the last two years only are available), and inquiries should be addressed to the American Mathematical Society, P. 0. Box 6248, Providence, Rhode Island 02940. Second class postage paid at Providence, Rhode Island, and additional mailing offices.

Part I of this article appeared in these cJioticeiJ, November 1973, pp. 348-352.

3. JOB PROSPECTS FOR THE NEXT (2) The number of students enrolling in four TWENTY YEARS year colleges and universities for the first time has dropped slightly for the past two years, The academic employment prospects for the showing a decrease in the percentage of the age next twenty years are not good. There is now group going on to four-year institutions, revers every reason to believe that the total national ing a trend toward greater percentages that had mathematics faculty will increase very little in been observed since 1945. With expected college the rest of the 1970s and will actually decrease enrollments indicating that the percentage will somewhat in the 1980s. The prospects are dom probably drop again this fall, an era of relative inated by four factors: (1) the annual size of the stability in the percentage of eighteen-year olds group of eighteen-year olds; (2) the percentage of enrolling in four-year colleges and universities eighteen-year olds enrolling each year for the has presumably been reached, implying that the first time in four-year colleges and universities; annual number of freshmen is likely to be closely (3) the percentage of enrollments in mathematics tied to the size of this age group. courses by freshmen and sophomores; (4) the The percentage, however, will probably go amount of money available for higher education. up slightly in the 1980s, dampening the effect of It should be pointed out that twenty-year projec the decreases in the stze of the age group on col tions are necessarily subject to considerable un lege enrollments. Society probably has relatively certainty. In particular, public priorities could stable numerical needs for college graduates change in favor of substantially more support for over a period of years, and in the latter 1980s, traditional higher education, although the author when the number of twenty-one year olds is de knows of no indication of that now. creasing, society can be expected to need a (1) The following table gives the annual number greater percentage of this age group for jobs re of live births in the United States from 1950 to quiring college training. Thus, the economic de date. These data were obtained from Statistical mand probably has an inverse effect on the re Abstract of the United States and the Monthly lationship of the size of the age group and the Vital Statistical Report. percentage of the age group going to college. Perhaps with a large number of eighteen-year Live Births Live Births olds, we are seeing that effect now. (in thousands) Year Year (in thousands) (3) CBMS Survey data and AMS data do not give 1950 3632 1961 4268 explicit percentages of the enrollment of fresh men and sophomores in mathematics courses, 3823 1951 1962 4167 but the data do show that approximately 50% of 1952 3913 1963 4098 all undergraduate enrollments in mathematics are in courses below the calculus level, 25% 3965 1953 1964 4027 more are in analytic geometry-calculus courses, 1954 4078 1965 3760 and, in addition, more than half the statistics and computer science course enrollments are in 1955 4104 1966 3606 pre-calculus or introductory courses. The grad 1956 4163 1967 3521 uate course enrollments are only about 4% or 5% of the total. Since employment of mathemati 1957 4255 1968 3502 cians in academia is tied primarily to course 1958 4204 1969 3571* enrollments, and since 75% of these enrollments are by freshmen and sophomores, we can make 1959 4245 1970 3718* apparently reliable projections concerning the 1960 4258 1971 3559* number of faculty members needed by con sidering items (1) and (2) above. In this re 1972 3256* spect, academic employment prospects for Ph. D. mathematicians are worse than those for The size of the group of eighteen-year olds is some other potential academicians. The three essentially determined through 1990: It increases potential "growth" areas in higher education: at about 2% a year until 1975, is almost stable two-year colleges, adult or continuing education, until 1979, and then decreases almost 25% until and career or vocational education involve rela 1990 .. The figures for the first four months of tively few employment opportunities for Ph. D. 1973 show a further drop of forty-four thousand mathematicians. There is now much evidence from 1972 levels but indicate a probable stabi that two-year colleges do not and will not need lizing trend. or hire enough Ph. D. 's to affect the overall job

*Preliminary or provisional from 1969 on.

367 market, adult education programs are likely to from tuition. In the past several years, as stu be more culturally than scientifically oriented, dent enrollments have leveled off and as public and much so-called career education will involve priorities appear to have changed, additional little mathematics above the high school level. state funds for traditional higher education have Clearly, the mathematics commlmity should also leveled off. With the increasing demands try to increase the demand for mathematics for welfare and poverty programs, urban and courses by making both elementary and advanced transportation programs, pollution and environ mathematics more attractive and meaningful to mental programs, vocational and career educa more types of students; however, the community tion, as well as for adjustment to inflation phe cannot expect to do more than make the best of nomena, there appears no basis for optimism a bad employment situation in this way. Such ef that legislatures, or the public behind them, will forts cannot conceivably" solve" the unemploy increase funds for traditional higher education ment problem. much in excess of that called for by student de (4) The observed annual increase in money for mand and inflation costs. Indeed, a nun1ber of higher education that was a hallmark of the 60s states arc developing formulas for educational has been sharply reduced over the last two or appropriations specifically tied to enrollments. three years, virtually to that needed to meet in Private colleges and universities, depen creased costs with no increase in faculty. This dent largely on tuition for faculty salaries, are phenomenon apparently stems both from the lev already greatly concerned with existing or po elling off of the student population and from tential reductions in numbers of students and changed public priorities. It is observed in leg have no basis for significant expansion of facul islative appropriations for higher education in ties. almost all states. There is a widely held hypothesis that the Obviously, if our society chose to do so, it employment situation for Ph. D. mathematicians could provide sufficient funds over the next twen would be significantly improved by substantial ty years to improve the qu:1l.ity of higher educa increases in federal funds for education and re tion significantly by greatly decreasing the stu search. The author seriously doubts that hypoth dent-faculty ratio. In the process, enough ex esis unless there were major shifts in the uses pansion of the faculty could occur to provide jobs of such funds. for all deserving prospective Ph. D.'s. However, Federal funds for education are used for in terms of observable recent patterns (such as special projects, impacted areas, minority the pressures for educational accountability) and groups, etc., primarily below the higher edu in terms of apparent societal priorities, there cation level; relatively small amounts find their seems little likelihood that higher education in way into the salary budgets of mathematics de the traditional sense will get funds much in ex partments. NDEA matching funds and teacher cess of those needed to maintain present student institute costs have been exceptions in some faculty ratios and to meet cost-of-living in schools. Support for students, of course, does creases. The following table (Office of Education tend to increase student enrollments and, thus, figures) shows total expenditures by regular in the potential demand for mathematics. Interest stitutions of higher education in the public and ingly, according to the Brookings Institution re private sectors in 1961 and 1971 and total degree port on the proposed budget for the fiscal year credit (full- and part-time) students for those 1974 (page 149), federal support for undergradu years. ate students (as distinct from institutions) in higher education shows a major increase from Expenditures Students $2, 814, 000, 000 in fiscal 1972 to $3, 722, 000, 000 in billions in thousands in fiscal 1974, the current fiscal year. In spite of such funding Public 1961 4.7 2,329 increases, first-time students and mathematics 1971 19.9 6,014 course enrollments have both apparently been decreasing slightly in four-year Private 1961 3.8 1,532 colleges and universities. Unfortunately, as fed 1971 10.0 2,102 eral budgets for education have kept going up re cently, the mathematics community seems to Clearly, the 1970s were a "golden age" for have gotten less than its share. higher education. The implications of exponential Federal money for research does have a growth make it explicitly clear that similar ex more direct impact on jobs for mathematicians, pansion in expenditures could not occur very but even here the effect is not massive. Obvious much longer. In the 1960s, the national four-year ly, some jobs are available in federally financed college and university mathematics faculty rose research projects themselves, but the number of by a factor of almost 2. 8, whereas the student Ph. D. mathematicians involved has apparently population rose by a factor of about 2.1. Accord been modest, and the emphasis has been pri ing to CBMS Survey figures, the ratio of under marily on nonacademic mathematicians. The graduate mathematics course enrollments to projects are customarily oriented toward equip number of full-time faculty dropped from 99:1 to ment and engineering. There is some spin-off 81:1 in the five years from fall 1965 to fall 1970, of overhead costs on research projects to those the drop occurring almost uniformly in univer universities which get large grants. Substantially sities, public colleges, and private institutions. increased federal research budgets would create In the public college and university sector, a few more temporary mathematics positions at funds for faculty positions come primarily from some of the major private universities by easing state legislative appropriations and secondarily their budgets, but the number of positions, con-

368 centrated at schools like NYU, MIT, Stanford, opportunities. In this connection it should be etc., would be a relative handlful. pointed out that whereas current employment Redistribution of Students. With a stable prospects are generally satisfactory for those in national student population, a slight increase in statistics and computer related areas, there is total mathematics faculty may still be anticipated no proven or established nonacademic demand due to the redistribution of students (and thus of beyond current employment patterns. Young faculty). This factor slightly increases the like Ph. D.'s should be encouraged to develop compe lihood of new Ph. D.'s getting jobs but also prob tence in areas where there is a demand, but at ably increases the number of nonretained Ph. D.'s tempts should also be made to ascertain future without jobs. Thus, some schools will increase demand before present programs are modified in size and others will decrease, or even close. extensively. The changing geographical population patterns are partly responsible for this redistribution of 4. TENURE, MORAL TENURE, AND JOB students. It is difficult to assess the phenomenon RETENTION numerically, or to be confident in any numbers assigned, since the patterns will depend on ad Almost certainly, the question of academic justment to a nongrowth situation for which there job retention has become the most critical and are few clear historical precedents. The realities difficult aspect of the job market. A year ago, in of university financing, however, suggest that the November 1972 cNotireiJ, the author wrote a contraction is resisted even more strongly than brief analysis of the problem based on AMS data expansion is pushed, and, thus, on a national then available. Those data did not involve tenure basis, slight faculty growth should be expected information as such, but rather distributions of even with a numerically stable student popula academic positions by rank over the past several tion. years. This summer, the AMS collected data on Nonacademic Employment. There was a the number of tenured positions by rank in the slight rise over the past year in the number of annual salary survey, on numbers of faculty new Ph. D.'s reported getting nonacademic (pro members with newly acquired tenure in the fac fessional) employment in the U.S. Also, the AMS ulty mobility survey, and some data on Ph. D.'s faculty mobility survey shows that the number of moving to positions with tenure. The data now faculty members who moved to nonacademic jobs available are "harder" data and are more dis this summer was somewhat higher than the num couraging. ber a year ago. The following table presents tenure data A slight improvement in nonacademic em from the salary survey for Ph. D. -granting math ployment for Ph. D.'s should have been antici ematics departments in the U.S. and for depart pated in an improving economy and a tight but ments granting the master• s and bachelor• s de stable academic market. Much further improve grees in the mathematical sciences in the U.S. ment is needed in the next several years, how and Canada, published originally in the October ever, if we are to avoid serious unemployment. 1973 cflotireiJ. (The returns included from Cana The AMS Committee on Employment and Educa dian departments and from departments other tional Policy has been seeking financing from than mathematics were relatively few and may be governmental and private agencies for a serious ignored.) study of potential nonacademic employment for The figures on faculty size are the faculty mathematicians. While initial reactions from totals reported for both doctorates and nondoc possible funding agencies have been negative, the torates for the ranks of assistant professor, as committee is continuing to explore possibilities. sociate professor, and professor. Instructors With the dismal prospects for long-range aca are not included. Somewhat more complete fig demic employment of young Ph. D.'s, the com ure~ncluding data from departments whose munity must either cut back production drastical salary data were not usable, show substantially ly or develop extensive nonacademic employment the same percentages and percentage changes.

Professional Tenure Figures from Salary Survey Data

Type of 1972-1973 1973-1974 department and No. of with %with No. of with %with Rise in number reporting Faculty tenure tenure Faculty tenure tenure past year ACE top rated, 15 of 27 784 605 77% 791 628 79% 2% Other ACE rated, 27 of 38 1028 609 59% 1016 634 62% 3% ACE non-rated doctorate producing, 55 of 89 1488 910 61o/c. 1479 970 66% 5% Master• s level, 116 of 310 1563 987 63% 1624 1122 69% 6% Bachelor• s level, 325 of 1080 1648 897 54c:f·, 1673 955 57% 3%

369 It is clear from both the percentages and the tionnaire in September asking for the total num recorded changes in percentages that the nation ber of faculty members presently in the various al mathematics faculty is rapidly approaching ranks, the number with tenure, the number with effectively fully tenured status. Except for re moral tenure, the number without tenure or placement of those retiring or dying, there will moral tenure but expected to be retained indefi shortly be very few nontemporary positions avail nitely, and the number whose positions were re able for those not in positions having tenure or garded as definitely temporary. Moral tenure leading to tenure. was defined to mean that a person having it would The basic question, however, is not who or be regarded at the departmental level like a per how many faculty members have formal tenure son with tenure in the sense that he or she would but rather who or how many will, in fact, be re normally be automatically reappointed unless a tained by their departments on a permanent ba budget crisis forced cutting off the position. sis. For that we must consider moral tenure and The table below includes data from twenty attitudes of chairmen toward retention. The abo one mathematics departments, all of those re lition of tenure would, by itself, probably have sponding except for Tulane and LSD (Baton Rouge) relatively little effect on retention policies-few which have had Ph. D. programs for the past departments or schools would drop colleagues twenty years and are not typical. Also omitted after lengthy periods of conscientious or satis are data received from three computer science factory service unless forced to do so by fiscal departments; these departments are newer, are necessity. presumably still growing, and are, therefore, A Small Scale Study of Moral Tenure. A somewhat atypical. It seems evident that moral study conducted this fall by the author in the tenure was interpreted differently by various states of Louisiana and Mississippi (which have chairmen, and that some of those listed as having 3% of the nation• s population) suggests that the moral tenure could have been in the "expected to incidence of nonflexibility in the system is much be retained indefinitely" category. However, such more critical than is suggested by the national consideration does not really alter the implica figures concerning tenure. tions of the study for the employment market. All chairmen of departments of mathematics Responses were received from about 65% of the and computer science at four-year colleges and mathematics department chairmen polled. universities in the two states were sent a ques-

Expected to Total With With be Retained Temporary Facult~ Tenure Moral Tenure Indefinite!~ Positions Instructor 42 9 19 4 6 Asst. Prof. 116 67 32 16 1 Assoc. Prof. 70 51 13 7 0 Professor 39 35 2 2 0

Total 269 162 66 29 7

There appear to be only five other prospectively and for 1975-1976. The twenty-one chairmen in permanent positions (or about one per year) a dicated perhaps five positions for 1974-1975 and vailable. Thus, in this sample, there appears to three more for 1975-1976, or about 2% and 1% be almost no expectation of vacancies except for of the existing faculty. This is far less than sim those resulting from death, retirement, or resig ilar surveys indicated in the past two or three nation. The percentage (60%) of tenured faculty years (and in that period the total faculty growth is near the national average, has been near zero. It would be a mistake to generalize too In a sense, the results of this poll should much from the small sample considered; it would have been expected, but they are, nevertheless, also be a mistake not to be concerned with the startlingly decisive. Over the past five or ten evidence found. If the patterns of the sample are years, departments like those responding have common in very many states, and if the na,tional had good choices of new faculty members from faculty does not grow, then almostimmediately among a number applying. And, the departments there is going to be a situation in which the an and schools have a tradition of seeking to retain nual number of vacancies in master- and bache faculty members they consider good. In addition, lor-level departments or in newer Ph. D. -grant the developing lack of mobility in the community ing departments may be little more than the num has made many recent new faculty members re ber needed for replacement due to death and re gard their employment (hopefully) as permanent, tirement. In other words, whereas over the past and they have earnestly sought to be retained. three years, there have been annually perhaps The percentage of new faculty members retained four or five hundred Ph. D. mathematicians find can: be expected to be higher than formerly ex ing jobs in such departments, that number may cept in those systems which arbitrarily regulate soon drop to one or two hundred. the percentage of those with tenure or of those In the same questionnaire, the chairmen they retain. were asked to indicate the number of additional With about fifty-five hundred faculty mem positions expected to be available for 1974-1975 bers in Ph. D. -granting departments of mathe-

370 matics and about ten thousand in master- and staying, only about a third will be in research bachelor-level departments (and the rest in de oriented departments. This picture is grim and oartments of statistics or computer science), we philosophically intolerable. It is made worse by can shortly expect only about one thousand to fif the likelihood that the selection process for re teen hundred temporary positions in the Ph. D. - tention will be quite haphazard on a national ba granting departments and not more than several sis. Many of those not retained will be among hundred temporary positions in the other de the most able researchers and even among the partments. From the assumption that replace better teachers. ments due to death and retirement over the next In the opinion of the author, the community fifteen years will be two hundred per year (which should go to great lengths to avoid a continuing was about the number for the past several years, phenomenon of the type anticipated. The produc and which conforms to prior estimates of age tion of Ph. D. 1 s trained primarily for academic distribution), the author is led to the conclusion employment should be cut back to less than one that if five or six hundred new Ph. D. 1 s enter half of the present level, and the mathematical mathematics departments per year (as would community should actively seek alternative sa appear to have been the case this year and last), tisfactory professional or quasi-professional three or four hundred others will be forced out employment opportunities for those forced out of after an average stay of perhaps four years on academia. temporary appointments. Of the two hundred

Is This Doctoral Program Necessary?* by Saunders Mac Lane

In the United States and Canada there were the degree is granted because of the hope that about 250 new Ph. D. 1 s in 1952 in the Mathemati its recipients will go on to make additional and cal Sciences. In 1972 there were about 1, 400. more fundamental contributions. Not all Ph. D. 1 s This startling increase came about through a succeed in this, but any Ph. D. program, after variety of causes: The reaction to Sputnik, the 10 or 15 years, should have some graduates who recommendations of government bodies, as in have really done outstanding work. How many the notorious Gilliland report, the enthusiasm can you list for your program? for training more scientists and engineers to 2. Outstanding research work is stimulated support the thrust into outer space, the predic by visible previous outstanding work. Does the tion, by COSRIMS and others, of an intense need faculty of your program exhibit this ? It is not for more teachers of Mathematics, the develop hard to find out: Name the outstanding papers ment grants offered by the National Science they have written and the reasons why they are Foundation, and just plain unreasonable desire outstanding, and specify the national and inter to start up new Ph. D. programs. national invited addresses given by members of At present many of the new Ph. D. 1 s have the faculty. great anguish and trouble in finding positions 3. Adequate graduate work requires a reasonably related to their training; there are multiplicity of prospects for research: Not just some (150 this summer, by a reasonably care some long list of topics, but a real variety of ful estimate) who have searched for such posi promising fields of research, with enthusiastic tions with no success. In time the news of these faculty for each. Does your program provide difficulties will get back to the beginning gradu this? ate students and even to mid-course students: 4. Sometimes graduate programs were Some will not start and others will give up; still established at prosperous times for what might others will continue but with a clearer expecta now appear to be the wrong reasons. Were the tion, knowing that they are studying Mathematics following some of the reasons for your program? for its great beauty without sure prospects of (a) Graduate programs often provide teach their own subsequent employability. Thus in ing assistants to conduct undergraduate courses. time, as in other human affairs not subject to How good are your teaching assistants? Are they detailed planning, supply will probably adjust chosen for their teaching ability or because they itself to demand-but only at the cost of consid need the financial support? How much do they erable personal hardship. Under these circum teach; can it be that they are exploited? Does stances, it is only appropriate that those re your program exist in part in order to provide sponsible for Ph. D. programs-professors, di graduate assistants? rectors of graduate study, chairmen, and (b) Faculty members like to have graduate deans-ask themselves some hard questions: Is students, and this for a variety of reasons, some our Ph. D. program necessary? good, some bad. It is sometimes asserted that a - Here is a possible check list of specific research program will go well ~ if students questions. are taking part. If this is really so, each tenured 1. The Ph. D. testifies that its holders member of the faculty active in research would have made an original contribution to knowledge; be likely to "turn out" a Ph. D. every three years

*Reprinted with the permission of the publisher from an editorial in the Newsletter of the Conference Board of the Mathematical Sciences, Volume 8, No. 4 (October, 1973).

371 or so. With a research career of 30 years, this universities with graduate programs, of the means that five to ten new Mathematicians will multiplicity of fields of research, and of the un grow for each present one. Does this make a certain prospects of professional employment? case for population control? Is your program Do you help them to see the situation fully? there chiefly in order to attract faculty? If so, 6. Mathematical research today is pro are there alternatives? ducing brilliant solutions of many basic prob (c) Innovation is the order of the day, and lems. For example, just in one recent week I rightly so. Graduate training should be reformed learned of three remarkable advances: Deligne• s to give the student a better feel for his f!lture solution of the Weil conjectures (with a conse teaching, a wider grasp of Mathematics, and a quent solution of an old problem of Ra:(Ilanujan), better understanding of some of the applications. the Boone-Higman characterization of finitely Sometimes Ph. D. programs are set up in order generated groups with a solvable word problem, to make such a reform. Was your program the and Graeme Segal• s elegant conceptual proof of child of reform? Is this really an adequate rea the result of Nishida, that the stable homotopy son for a new program? ring is nilpotent. (d) Was your program established for in Do your graduate students know enough to stitutional prestige or for the economic advance recognize these problems and so take part and ment of your region of the country? If so, are pleasure in the advances of Mathematics? A real these reasons adequate ones and are they really graduate training provides access to the beauty compelling? and wonders of Mathematical structures. Does 5. Do your students know where they are your program do this ? If there is doubt, ... going? Are they aware of the variety of other

372 ASSISTANTSHIPS AND FELLOWSHIPS IN MATHEMATICS 1974-1975

I. FOR GRADUATE STUDY AT UNIVERSITIES

TYPE STIPEND TUITION SEilVICE REQUIRED DEGREES AWARDED of financial a1sistance amount 9 or 12 if not included hours type Academic year (with number anticipated 1974-1975) in dollars months in stipend (dollars) per week of service 1972-1973 ALABAMA

Alabama A & M University, Normal35762 DEPARTMENT OF MATHEMATICS AND PHYSICS Applications due: 4/15/74 Bachelor's by inst. 275 Jerry R. Shipman, Chairman Bachelor• s by dept. 30 Teaching Assistantship (1) 2000 9 20 Master's by dept, 4 Research Assistantship (2) 600 * 15 *Summer

Auburn University, Auburn 36830 DEPARTMENT OF MATHEMATICS Applications due: 2/10/74 Bachelor's by inst. 3607 L. P. Burton, Head Bachelor's by dept. 51 Fellowship (1) 2400-2800 12 175/qtr. Master's by dept. 11 Teaching Assistantship (35) 2700-4950 9 175/qtr. 5-10 Teaching Ph, D. (1971-1973 incl.) or equiv A&NT 9, G&T 10, A&FA alent 5, Total: 24

Samford University, Birmingham 35209 DEPARTMENT OF MATHEMATICS Applications due: Open Bachelor's by inst. 408 W. D. Peeples, Jr., Head Bachelor's by dept. 15 Teaching Assistantship (4) 2000 9 49/hr. 6 Master's by dept. 5 Scholarship (1) 1400 9 49/hr.

University of Alabama in Birmingham 3529( DEPARTMENT OF MATHEMATICS Applications due: Open Bachelor's by inst. 629 R. J. Crittenden, Chairman Bachelor's by dept. 18 Master's by dept. Teaching Assistantship (12) 3000 9 * 6 Teaching 4 *$175 per term for 3 terms; twice that for out-of-state students.

DEPARTMENT OF BIOMATHEMATICS Applications due: 5/1/74 William E. Siler, Chairman Research Assistantship (1) 4000 12 500 20 Research University of Alabama in Huntsville 35807 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst. 268 F. Lee Cook, Chairman Bachelor's by dept. 21 6 Teaching Assistantship (8) 3000-3180 9 4 Teaching Master's by dept. 4 Miscellaneous

University of Alabama (Tuscaloosa), University 35(86 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst. 2392 Charles Hobby, Chairman Bachelor's by dept. 52 Master's by dept. 6 Fellowship (3) 2400 9 510/yr.* Teaching Assistantship (35-45) 2425-4250 9 200/yr. 6 Teaching Ph. D. (1971-1973 incl.) *May be waived in certain cases. A&NT 3, G&T 2, A&FA 8, P&S 2. Total: 15

373 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not included houn typo Academic year (with number anHcipated 1974-1975) in dollars months in stipend (dollars) per week of service 1972-1973

DEPARTMENT OF STATISTICS Applications due: 3/1/74 Bachelor• s by inst. 2392 Jean D. Gibbons, Chairman Bachelor's by dept. 6 Teaching Assistantship (3) 2425-4250 9 100 6 Teaching Master's by dept. 3 Research Assistantship (2) 3000-3600 9 100 26 Elesearch Ph. D. (1971-1973 incl.) Scholarship (1) 2400 9 100 P&S 7. Total: 7

ALASKA University of Alaska, Fairbanks 99701 DEPARTMENT OF MATHEMATICS Applications due: 3/15/74 Bachelor's by inst. 274 Robert W. Brown, Head Bachelor's by dept. 6 Master's by dept. Teaching Fellowship 3825-4050 9 Teaching 4

COMPUTER CENTER Edward Gauss, Director Statistics Consultant (1) 6000-12000 12 Assisting Elesearch* *Make use of computer statistical analysis,

ARIZONA Arizona State University, Tempe 85281 DEPARTMENT OF MATHEMATICS Applications due: 3/15/74 Bachelor's by inst. 3750 Nevin W. Savage, Chairman Bachelor's by dept. 56 Master's by dept. 19 Teaching Assistantship (45) 3000-3650 9 160/sem. 6 Teaching Scholarship (5) 890 9 Ph. D. (1971-1973 incl.) A&NT 5, G&T 2, A&FA 3, other 3. Total: 13

Northern Arizona University, Flagstaff 86001 DEPARTMENT OF MATHEMATICS Applications due: 4/1/74 Bachelor's by inst. 1200 Richard D. Meyer, Chairman Bachelor's by dept. 21 10 Teaching Assistantship (5) 2250 9 160/sem. 13 Master's by dept.

University of Arizona, Tucson 85721 DEPARTMENT OF MATHEMATICS Applications due: 2/15/74 Bachelor's by inst. 2937 Hanno Rund, Head Bachelor's by dept. 53 Master• by dept. Teaching Assistantship (32) 3250-3750 9 6 Teaching s 8 Ph. D. (1971-1973 incl.) A&NT 3, A&FA 3, P&S 3, AM 4. Total: 13

ARKANSAS Arkanll8S State University, State University 72467 DIVISION OF MATHEMATICS AND PHYSICS Applications due: 4/1/74 Bachelor's by inst. 962 J. L. Linnstaedter, Chairman Bachelor's by dept. 23 Teaching Assistantship (6) 2000-2475 9 400 3 Teaching Master's by dept. 8

University of Arkansas, Fayetteville 72701 DEPARTMENT OF MATHEMATICS AND STATISTICS Applications due: 2/15/74 Bachelor's by inst. 1635 James E. Scroggs, Chairman Bachelor• s by dept. 24 Teaching Assistantship (32) 1400-3000 9 200/sem. 6 Master's by dept. 15 Ph. D. (1971-1973 incl.) A &NT 1, G&T 1, A&FA 2. Total: 4

374 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial anistance amount 9 or 12 If not lnduded hours type Academic year (with number anticlpatocl1974-1975) in dollars months In stipend (dollars) per WHk ofserYice 1972-1973

CALIFORNIA

California Institute of Technology, Pasadena 91109 DEPARTMENT OF MATHEMATICS W.A.J. Luxemburg, Executive Officer Applications due: 2/15/74 Bachelor's by inst. 163 Bachelor's by dept. 30 Fellowship (3) 2400-3600 12 Master's by dept. 2 Teaching Fellowship (4) 3400-4600 12 4 Teaching .Assistantship (1.5) 2980-3560 9 4 Ph. D. (1971-1973 incl.) Research Assistantship (3) 3442-4570 12 15 Acad. yr. A&NT 11, A&FA 4, CS 1. 30 Summer Total: 16 Scholarship 2830 DEPARTMENT OF APPLIED MATHEMATICS Applications due: 2/15/74 Bachelor's by inst. 164 Gerald B. Whitham, Executive Officer Master's by dept. 1 FellowshiP (5) 2400-3600 12 * 5 Teaching Ph. D. (1971-1973 incl. ) Teaching Assistantship (12) 3000-3600 9 * 15 Grading, AM 14. Total: 14 etc. Research Assistantship (8) 2400-2800 9 * 15 Research *Tuition scholarship accompanies these awards.

California State University, Fremo 937 40 DEPARTMENT OF MATHEMATICS Applications due: 5/30/74 Bachelor's by inst. 2836 Burke Zane, Chairman Bachelor's by dept. 44 Teaching Assistantship (3) 1500-1800 9 3 Teaching Master's by dept. 11 Graduate Assistant (4) 1500-1800 9 12 .Assist faculty California State University, Fullerton 92634 DEPARTMENT 01!' MATHEMATICS Applications due: 5/1/74 Bachelor's by inst. 2937 Edsel F. Stiel, Chairman Bachelor's by dept. 23 Master• s by dept. Teaching .Assistantship (3-4) 1800-2100 9 70/sem. 3 7

DEPARTMENT OF QUANTITATIVE METHODS Applications due: 6/74 David s. Stoller, Chairman Teaching Assistantship (3) 2480 9 20 Reader, Lab Assistant California State University, Hayward 94542 DEPARTMENT OF STATISTICS Applications due: Open Bachelor's by dept. 7 Bruce E. Trumbo, Chairman Master's by dept. 7 Graduate Assistantship (7) 2500-3500 9 20 California State University, Long Beach !10840 DEPARTMENT OF MATHEMATICS Applications due: 5/1/74 Bachelor's by inst. 3685 Thomas A. McCullough, Chairman Bachelor's by dept. 77 Master's by dept. 12 Teaching Assistantship (15) 250-350 9 61-82* 5-7 Teaching *Out-of-state residents add $37 per unit.

California State University, Los Angeles 90032 DEPARTMENT OF MATHEMATICS .Applications due: 7/15/74 Bachelor's by inst. 3669 Charles L. Clark, Chairman Bachelor's by dept. 85 Teaching Assistantship (12) 2260-3730 9 165* 4-6 Master's by dept. 12 *$29/unit for nonresidents. California State University, Sacramento 95821 DEPARTMENT OF MATHEMATICS AND STATISTICS Bachelor's by inst. 2471 M. Richard, Porter, Chail'lhan Bachelor's by dept. 42 Teaching Assistantship (8) 3384-3726 10 6 Teaching Master's by dept. 4 Graduate Assistant (2) 2480 10 20 Laboratory, tutoring California State Univenity, San Diego 92115 DEPARTMENT OF MATHEMATICS Applications·due: 3/15/74 Bachelor's by inst. 4230 Peter W. Shaw, Chairman Bachelor's by dept. 132 Teaching .Assistantship (30) 3148-4326 9 80 6 Teaching Master's by dept. 19

375 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 If not included hours type Academic year (with number anticipated 1974-1975) in dollars months In stipend (dollars) per week of service 1972-1973

California State University, San Francisco 94132 DEPARTMENT OF MATHEMATICS Applications due: Open Bachelor• s by inst. 2000 Newman Fisher, Chairman Bachelor's by dept. 39 Information on Request Master's by dept, 7

California State University, San Jose 95192

DEPARTMENT OF MATHEMATICS Applications due: 2/15/74 Bachelor's by inst. 3500 Gerald C. Preston, Chairman Bachelor's by dept. 100 Teaching Fellowship (10) 1900-3800 9 83/sem. * 3-6 Teaching Master• s by dept, 20 *Nonresidents pay an additional $37 per unit.

Claremont Graduate School, Claremont 91711 DEPARTMENT OF MATHEMATICS Applications due: 1/15/74 Master's by dept, 3 William J, LeVeque, Chairman Ph. D. (1971-1973 incl.) Fellowship (8) 2400-2600 12 A&FA 1. Total: 1

Loyola Marymount University, Los Angeles 90045 DEPARTMENT OF MATHEMATICS Applications due: 8/1/74 Bachelor• s ·by inst. 1200 Clarence J, Wallen, Chairman Bachelor's by dept. 20 Scholarship (4) 600-800 Master's by dept. 5

Stanford University, Stanford 94305 DEPARTMENT OF MATHEMATICS Applications due: 1/15/74 Bachelor• s by inst, 1712 Robert Osserman, Chairman Bachelor's by dept. 51 Fellowship (3) 2400 9 Master's by dept, 8 Graduate Assistantship* (40) 2400-2690 9 ** Ph. D. (1971-1973 incl.) *Graduate Assistants serve for one quarter as Teaching Fellows, for one quarter G'&T""7, L 3, A&FA 8, as Course Assistants, and for one quarter as Research Assistants. P&S 6, CS 1, AM 1. **3 hrs. /week teaching or assisting for two quarters; one quarter research Total: 26 with no formal duties.

DEPARTMENT OF COMPUTER SCIENCE Applications due: 1/15/74 Bachelor's by inst, 1640 Robert Floyd, Chairman Master's by dept. 25 Teaching Fellowship (1) 3150 9 20 Ph. D. (1971-1973 incl.) Teaching Assistantship (8) 2835-3060 9 20 C'S"37. Total: 37 Research Assistantship (40) 2835-3195 9 20

DEPARTMENT OF OPERATIONS RESEARCH Applications due: 3/1/74 Master's by dept. 45 Gerald J. Lieberman, Chairman Ph, D. (1971-1973 incl.) Fellowship (10) 1800* 9 other 35, Total: 35 Research Assistantship (20) 2400 9 20 Research *If student desires, he can grade papers and earn an additional $750.

DEPARTMENT OF STATISTICS Applications due: 1/15/74 Bachelor's by dept, 1 Ingram Olkin, Chairman Master's by dept. 15 RA/TA/Fellowship Package (9) 2520 9 Ph. D. (1971-1973 incl.) P&S 23. Total: 23

University of California, Berkeley 947~ DEPARTMENT OF MATHEMATICS Applications due:* Bachelor's by inst. 4165 Maxwell A. Rosenlicht, Chairman Bachelor's by dept, 188 Fellowship (75) 2000-2700** 9 *** Master's by dept. 80 Teaching Assistantship (90) 3996-4104 9 # Ph. D. (1971-1973 incl.) Research Assistantship (10) 3177 9 A&NT 15, G&T 29, L 12, *Fellowships: 12/1/73; Assistantships: 2/1/74. A&FA 17, AM 17. Total: **Some fellowships carry additional dependency allowances. 90 ***Fellowships pay part or all of the fees. #All students pay $700 in fees. In addition, out-of-state students pay $1500 tuition.

376 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not included hours type Academic year (with number anticipated 1974-1975) in dollars months in stipend (dollars) per week of service 1972-1973

GROUP IN BIOSTATISTICS, Master's by dept. 2 C. L. Chiang/E. Scott, Co-chairpersons Ph. D. (1971-1973 incl.) Fellowship (3) varies 12 * 20 Research P&S 8. Total: 8 Teaching Assistantship (6) 222-4-±4 3-9 10-20 Teaching Research Assistantship (2) 353-706 1-12 20-40 Research Scholarship (3) varies 9 Tuition waiver (3) 3 *Up to $2200/yr.

University of California, Davis 95616 DEPARTMENT OF MATHEMATICS Applications due: * Bachelor's by inst. 1100 Kurt Kreith, Chairman Bachelor's by dept. 50 Fellowship (1) 2400-2600 12 Master's by dept. 8 Teaching Assistantship (23) 3996 9 Teaching/ Ph. D. (1971-1973 incl.) *Fellowships: 1/15/74; Assistantships: 2/15/74. Assist A&NT 7, G&T 1, A&FA 3, professors P&S 1. Total: 12

DEPARTMENT OF APPLIED SCIENCE Applications due: Open Bachelor's by inst, 2500 Frederick Wooten, Chairman Master's by dept. 10 Research Assistantship (3) 4200-6400 12 20 Research Ph, D. (1971-1973 incl.) Student Employee (10) 5500-8500 20 Research CS 2, AM 6. Total: 8

University of California, Irvine 92664 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor• s by inst, 768 Donald A. Darling, Chairman Bachelor• s by dept, 39 Master's by dept, 7 Fellowship (2) 2500-3000 9 Teaching Fellowship (1) 4000 9 681 15 Teaching Ph, D. (1971-1973 incl.) Teaching Assistantship (20) 4000 9 681 15 Teaching A&FA 6, P&S 2, Total: 8

University of California, Los Angeles 90024 DEPARTMENT OF MATHEMATICS Applications due: 12/30/73 Bachelor's by inst, 4319 Philip C, Curtis, Jr., Chairman Bachelor• s by dept, 216 Master's by dept, 50 Fellowship (10) 2400 9/12 500/qtr. * Teaching Fellowship (4) 2400-4770 9 500/qtr, * Ph.D, (1971-1973 incl.) Teaching Assistantship (43) 3996-4770 9 500/qtr, * A&NT 11, G&T 11, L 8, *Nonresident fee, A&FA 17, P&S 7, CS 4, AM 8, Other 9. Total: 75 DIVISION OF BIOSTATISTICS, SCHOOL OF PUBLIC HEALTH Master's by dept, 11 Olive Jean Dunn, Head Ph, D. (1971-1973 incl.) Teaching Assistantship (1) 2880 9 20 Lab assis- Other 10, Total: 10 tant University of California, Riverside 92502 DEPARTMENT OF MATHEMATICS Applications due: 2/1/74 Bachelor's by inst. 1098 John de Pillis, Chairman Bachelor's by dept. 35 Fellow ship (?) Tuition, fees 9 Master's by dept. 13 Teaching Fellowship (5) 3996 9 4-5 Teaching Ph. D. (1971-1973 incl. ) Teaching Assistantship (12) 3996 9 5-6 Teaching A&NT 7, G&T 3, A&FA 9, P&S 2, Other 4. Total: 25

DEPARTMENT OF STATISTICS Applications due: 4/74 Bachelor's by dept. 15 F. N. David, Chairman Ph. D. (1971-1973 incl.) Teaching Assistantship (4) 3996 9 20 Teaching P&S 2. Total: 2 Research Assistantship (4) 4236 12 15 Research, 5 Teaching

377 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not lndudecl hours type Academic year (with number anticipated 1974-1975) in dollars months in stipend (dollars) per WHk of service 1972·1973

University of California, San Diego, La Jolla 92037 DEPARTMENT OF MATHEMATICS Applications due: 2/1/74 Bachelor's by inst, 931 Donald W. Anderson, Chairman Bachelor's by dept, 58 Master's by dept. 7 Fellowship (2) 1800-3600 9-12 Teaching Assistantship (51) 3996 9 * l/2time Teaching** Ph. D. (1971-1973 incl.) Research Assistantship (2) 4236 11 * 1/2time (for ad- A&NT 1, G&T 1, L 1, vanced students A&FA 8, P&S 3, CS 1, only) other 2. Total: 17 Scholarship (9) Partial fees and/or tuition *In 1973-74 all graduate students (resident and non-resident) pay per quarter: $226. 00 (Registration on fee $100, 00; educational fee $120, 00; student center fee $6, 00). Non-resident graduate students pay per quarter: $500,00 tuition in addition to the above $226. 00, **A number of the appointments are 1/4 time,

University of California, Santa Barbara 93106 DEPARTMENT OF MATHEMATICS Applications due: 1/15/74 Bachelor's by inst. 2562 David A. Sprecher, Chairman Bachelor's by dept. 58 Master's by dept. 7 Fellowship (2) 2500 9 1500* Teaching Assistantship (22) 3997 9 1500* 6 Teaching Ph. D. (1971-1973 incl.) Community Teaching A&N'f 9, A&FA 10. Fellowship (3) 3997 9 1500* 6 Teaching Total: 19 *Out-of-state students.

University of California, Santa Cruz 95060 BOARD OF MATHEMATICS Applications due: 3/15/74 Bachelor's by dept, 25 Gerhard Ringel, Chairman Master's by dept, 3 Fellowship (1) Ph, D. (1971-1973 incl.) Teaching Assistantship (8) 9 A&FA 1. Total: 1 University of Southern California, Los Angeles 90007 DEPARTMENT OF MATHEMATICS Applications due: 6/1/74 Bachelor's by inst. 2084 H. A. Antosiewicz, Chairman Bachelor's by dept. 36 Master's by dept, 6 Fellowship (4) 2400-2800 12 Teaching Assistantship (32) 3000-3400 9 6 Teaching Ph. D. (1971-1973 incl.) Teaching/Research (2) 3000-3400 9 4 Teaching/ A &NT 6, G&T 5, L 1, Research A&FA 6, P&S 7, CS 3, AM 6. Total: 34 COLORADO Colorado School of Mines, Golden 80401 DEPARTMENT OF MATHEMATICS Applications due: 3/15/74 Bachelor's by inst. 196 Robert A. Walsh, Head Bachelor's by dept, 16 Master's by dept, 10 Fellowship (1) 2250 9 * Teaching Fellowship (1) 1350 4,5 ** 15 Teaching Assistantship (6) 1692 9 *** 12 Research Assistantship (1) 990 9 * 6 Tuition Waiver (1) 4,5 * 8 *Resident $400, **Nonresident $800, ***Resident $400; Nonresident $1600, Colorado State University, Fort Collins 80521 DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE Applications due: 3/15/74 Bachelor's by inst. 2561 E. R. Deal, Chairman Bachelor's by dept, 56 Teaching Assistantship (33) 2430-3600 9 15 Teaching Master's by dept, 39* Research Assistantship (2) 2430-4200 9-12 20 Research Ph, D, (1971-1973 incl.) Scholarship (4) Tuition A&NT 3, G&T 1, A&FA 5, *17 M,S,; 22 M.A. T. other 1, Total: 10

DEPARTMENT OF STATISTICS Applications due: 3/1/74 Bachelor• s by inst, 2561 Franklin A, Graybill, Chairman Bachelor• s by dept, 8 Teaching Assistantship (2) 2430-2700 9 60 (fees) 15-20 Teaching Master's by dept. 3 Research Assistantship (2) 2430-2800 9 60 (fees) 15-20 Research Ph. D. (1971-1973 incl.) P&S 10, Total: 10

378 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of flnancial auistance amount 9 or 12 if not included hours typa Academic year (with number anticipated 1974-1975) in dollars months in stipend ( dollan) per week of service 1972·1973

University or Colorado, Boulder 80302 DEPARTMENT OF MATHEMATICS Applications due: 2/1/74 Bachelor's by inst. 2245 Wolfgang Thron, Chairman Bachelor's by dept. 60 Fellowship (4) 2200-3400 9 or 12 Master's by dept. 18 Teaching Assistantship (50) 2800-3700 9 21/cr. * 20 Teaching, Ph. D. (1971-1973 incl.) Prepara A&NT 11, G&T 3, L 2, tion A&FA 12, P&S 2, AM 1, Research Assistantship (2) 1600-3400 9 other 2. Total: 32 *Over 9 hours.

DEPARTMENT OF COMPUTER SCIENCE Applications due: * Bachelor's by inst. 3232 Lloyd D. Fosdick, Chairman Master's by dept. 21 Fellowship (2) 2500 Teaching Assistantship (7) 3000 9 Research Assistantship (8) ** 11-1/2 Internship (2) *Assistantships: 3/1/74; Fellowships: 2/1/74. **$3,400/9 mos. (1/2 time); $1,775/2-1/2 mos. (full-time).

University or Colorado, Denver Center, Denver 8020 2 MATHEMATICS DISCIPLINE, NATURAL SCIENCES DIVISION Collin J. Hightower, Chairman Teaching Assistantship (10) 3000 9

University of Denver, Denver 80210 DEPARTMENT OF MATHEMATICS Applications due: 2/1/74 Bachelor's by inst. 1265 William s. Dorn, Acting Chairman Bachelor's by dept. 31 Master's by dept. 5 Teaching Assistantship (12) 2500-2900 9 Teaching Research Assistantship (1) 4400 12 Research Ph. D. (1971-1973 incl.) Graduate Tuition Fellowship (1) 9 Research A&FA 2, CS 1. Total: 3

University or Northern Colorado, Greeley 80639 DEPARTMENT OF MATHEMATICS Applications due: 2/1/74 Master's by dept. 5 Donald D. Elliott, Chairman Ph. D. (1971-1973 incl.) Teaching Assistantship (4) 2850 9 In-state 6 Teaching other 16. Total: 16

CONNECTICUT Central Connecticut State College, New Britain 06050 DIVISION OF MATHEMATICS Applications due: 6/1/74 Bachelor's by inst. 1694 Richard L. Mentzer, Director Bachelor's by dept. 59 Master's by dept. 29 Teaching Assistantship (2) 2000 10 226/sem. 6

University or Connecticut, Storrs 06268 DEPARTMENT OF MATHEMATICS Applications due: 3/74 Bachelor's by inst. 3194 John V. Ryff, Head Bachelor's by dept. 48 Master• s by dept. 9 Fellowship (8) 1000-1300 9 175/475* Teaching Assistantship (17) 3435-4305 9 6 Ph. D. (1971-1973 incl.) A&NT 1, G&T 1, A&FA 2. *$175 for in-state resident. $475 for out-of-state. Total: 4 DEPARTMENT OF STATISTICS Applications due: 3/15/74 Bachelor's by inst. 3194 Gottfried E. Noether, Head Bachelor's by dept. 1 Master• s by dept. 3 Fellowehip (2) 2000-2500 9 640* Teaching Fellowship (4) 2970-3400 9 640* 5 Discussion Ph. D. (1971-1973 incl.) Teaching Assistantship (3) 3435-4305 9 640* 10 Discussion "P'&S8. Total: 8 *Includes general university fee; $1140 for out-of-state students.

379 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not induded hours type Academic year (with number anticipated 1974·1975) in dollars months in stipend ( dollan) per weelr. of service 1972-1973

Wesleyan University, .Middletown 06457 DEPARTMENT OF MATHEMATICS Applications due: 3/15/74 Bachelor• s by inst. 320 James D. Reid, Chairman Bachelor's by dept. 11 Teaching Assistantship (13) 2600-2900* 9 10 Quiz sec Master's by dept. 2 *Dependency allowances, and summer stipends axe frequently tion and/ Ph. D. (1971-1973 incl.) available upon request. or paper A&NT 1, G&T 8. Total: 9 grading

Yale University, New Haven 06520 DEPARTMENT OF MATHEMATICS Applications due: 1/20/74 Bachelor's by inst. 1156 G, D. Mostow, Chairman Bachelor's by dept. 38* Full or partial support available for most students. Master• s by dept. 14 *23 in mathematics, 15 combined majors. Ph. D. (1971-1973 incl.) 'A'&NT 10, G&T 10, L 7, A&FA 1. Total: 28

DEPARTMENT OF COMPUTER SCIENCE Applications due: 1/20/74 Bachelor's by inst. 1000 Martin H. Schultz, Chairman Bachelor's by dept. 4 Fellowship (12) 3850-5200 9 Master's by dept. 10 Teaching Assistantship (16) 900 9 3 Teaching Ph. D. (1971-1973 incl.) Research Assistantship (5) 5200 9 3 Research CS 2. Total: 2

DEPARTMENT OF ENGINEERING AND APPLIED SCIENCE Applications due: 1/20/74 Bachelor's by inst. 1132 R. G. Wheeler, Chairman Bachelor's by dept. 29 Master's by dept. Fellowship (27) 650-3000 9 3400* 7 Teaching Fellowship (20) 300-600 6 Research Assistantship (34) 2400** 9 3400* 3400** 12 3400* Scholarship (4) 3400* Other (3) *Full tuition, 1st 3 years; beyond 3rd yr. tuition is 1, 300, **Plus family support ($1000 per year for spouse and one child; $500 per year for each additional child).

DEPARTMENT OF STATISTICS Applications due: 1/20/74 Bachelor's by inst. 1156 J. A. Hartigan, Chairman Ma.Ster•s·by dept. 7* Fellowship (20) 0-2400 12 Ph. D. (1971-1973 incl. ) *6 Master• s, 1 Master of Philosophy. P&S 5, Total: 5

DELAWARE University of Delaware, Newark 197ll DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst. 2000 Willard E. Baxter, Chairman Bachelor's by dept. 30 Fellowship (3) 2900 12 Master's by dept. 8 Teaching Assistantship (26) 2800-3300 9 20 Ph, D. (1971-1973 incl. ) Research Assistantship (2) 2500-3500 12 1560 G&T 1, A&FA 3, AM 5. Total: 9

DISTRICT OF COLUMBIA American University, Washington 20016 DEPARTMENT OF MATHEMATICS AND STATISTICS Applications due: 1/15/74 Bachelor• s by inst. 1300 Basil Korin, Chairman Bachelor's by dept. 12 Master's by dept. 8 Fellowship (1) 2500 9 Varies Teaching Assistantship (6) 2500 9 15 Teaching Ph. D. (1971-1973 incl.) Dissertation Fellowship (1) 2500 9 Research G&T 1, P&S 3, CS 1. Total: 5

Catholic University of America, Washington 20017 DEPARTMENT OF MATHEMATICS Applications due: 2/15/74 Bachelor's by inst, 452 John N. Welch, Chairman Bachelor's by dept, 8 Master's by dept. 12 Teaching Assistantship (4) 2400 9 10 Ph. D, (1971-1973 incl. ) A&FA 7, P&S 5. Total: 12

380 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not included hours type Academic year (with number anticipated 1974-1975) in dollars months In stipend ( dollan} per week of service 1972-1973

Georgetown U Diversity, Washington 20007 DEPARTMENT OF MATHEMATICS Applications due: 2/15/74 Bachelor's by inst. 1000 John E. Lagnese, Chairman Bachelor's by dept. 12 Teaching Fellowship (6) 2600 9 3 Teaching Master's by dept. 1 Scholarship (1 or 2) 2500 9 2500 Ph. D. (1971-1973 incl.) A"&FA 4. Total: 4

George Washington University, Washington 20006 DEPARTMENT OF MATHEMATICS Applications due: 2/15/74 Bachelor's by inst. 1263 T.P.G. Liverman, Chairman Bachelor's by dept. 7 Master's by dept. 13 Teaching Fellowship (7) 2800 9 18/sem. hr. 6 Teaching Ph. D. (1971-1973 incl. ) G&Ti, A&FA 1. Total: 2

DEPARTMENT OF OPERATIONS RESEARCH Applications due: 3/1/74 Master• s by dept. 24 W. H. Marlow, Chairman Ph. D. (1971-19'73 incl.) Research Assistantship (12) 4750-5650 9 92/sem. hr. 20 other B. Total: 8

Howard University, Washington 20001 DEPARTMENT OF MATHEMATICS Applications due: 2/1/74 Master's by dept. 5 James A. Donaldson, Chairman Teaching Assistantship (15) 4130 10 900 15 Tutoring

FLORIDA Florida Atlantic University, Boca Raton 33432 DEPARTMENT OF MATHEMATICS Applications due: 4/1/74* Bachelor's by inst. 1700 M. J. DeLeon, Acting Chairman Bachelor's by dept. 29 Fellowship (1) 2000-2500 9 240 Master's by dept. 3 Teaching Assistantship (5) 2000-3000 9 160-240 12 Teaching, grading *Late applications will be accepted.

Florida Institute of Technology, Melbourne 32901 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 4/15/74 Bachelor's by inst. 220 D. R. Clutterham, Head Bachelor's by dept. 34 Teaching Assistantship (8) 3000 15 5-7 Teaching Master• s by dept. 7

Florida State University, TaUahassee 32306 DEPARTMENT OF MATHEMATICS Applications due: 2/1/74 Bachelor's by inst. 3673 0. G. Harrold, Chairman Bachelor's by dept. 54 Master• s by dept. 6 Fellowship (3) 2400-3900 9 or 12 Teaching Assistantship (25) 3300-3500 9 240/qtr. * 20 Teaching Ph. D. (1971-1973 incl.) Research Assistantship (10) 3300-3500 9 or 12 240/qtr. * 20 Research A&NT 6, G&T 2, A&FA 3. *Plus $350 nonresident tuition unless waived. Total: 11

DEPARTMENT OF STATISTICS Applications due: 2/1/74 Bachelor's by inst. 2969 Ralph A. Bradley, Head Bachelor's by dept. 1 Master's by dept. 19 Fellowship (6) 2400-2800* 12 Teaching Assistantship (10) 3600 12 240/qtr. 20 Teaching Ph. D. (1971-1973 incl.) Research Assistantship (11) 3600 12 240/qtr. 20 Research P&S 14. Total: 14 Consulting (3) 3600-4200 12 240/qtr. 20 Consulting *Plus allowance for dependents.

University of Florida, Gainesville 32611 DEPARTMENT OF STATISTICS Applications due: 3/15/74 Bachelor's by inst. 5963 W. Mendenhall, III, Chairman Bachelor's by dept. 4 Master's by dept. 6 Fellowship (2) 2700-3465 9 240 Teaching Assistantship (7) 2800-4000 9 240 15-20 Teaching, Ph. D. (1971-1973 incl.) tutoring P&S 6. Total: 6 Research Assistantship (4) 2800-4000 9 240 15-20 Consulting

381 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not included hours type Academic year (with number anticipated 1974-1975) in dollars months in stipend (dollars) per week of service 1972-1973

University of South Florida, Tampa 33620 DEPARTMENT OF MATHEMATICS Applications due: 5/1/74 Bachelor's by inst. 3490 Fredric Zerla, Acting Chairman Bachelor's by dept, 70 Master's by Fellowship (1) 4000 9 dept. 11 Teaching Assistantship (30) 3200-3600 9 240 6 Teaching

University of West Florida, Pensacola 32504 DEPARTMENT OF MATHEMATICS AND STATISTICS Applications due: Open Bachelor's by inst, 1569 Donald R. Byrkit, Chairman Bachelor's by dept. 12 Master's by dept. 1 Fellowship (3) 240 Qtr. Teaching Assistantship (2-5) 1000-3200 9 240/qtr. * 6-20 Teaching tutoring *Plus $350 nonresident tuition unless waived.

GEORGIA .Armstrong State College, Savannah 31406 DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE Applications due: 4/1/74 Bachelor's by inst. 210 R. M. Summerville, Chairman Bachelor's by dept. 7 Master's by dept. 1 Teaching Assistantship (2) 2000 9 9. 75/qtr.hr. 5 Teaching

Emory University, Atlanta 30322 DEPARTMENT OF MATHEMATICS Applications due: 2/15/74 Bachelor• s by inst. 532 Henry Sharp, Jr. , Chairman Bachelor's by dept. 15 Fellowship (2) 2200-2600 9 Master's by dept. 6 Teaching Assistantship (13) 2700 9 12 Teaching Ph. D. (1971-1973 incl.) Part-time Assistant (4) 1800 9 6-8 A&NT 2, G&T 4, A&FA 6, Total: 12

Georgia Institute of Technology, Atlanta 30332

SCHOOL OF MATHEMATICS Applications due: 3/1/74 Bachelor 1 s by inst. 1354 John D. Neff, Director Bachelor's by dept. 36 Master's by dept. 6 Teaching Assistantship (40) 3000-3300 9 178/qtr. * 5 Teaching Ph. D. *Depends on credit hours taken, figure listed is the maximum (1971-1973 incl.) per quarter A&FA including all fees. 2, P&S 1, AM 2, Other 1. Total: 6 DEPARTMENT OF INFORMATION AND COMPUTER SCIENCE Applications due: 3/15/74 Bachelor's by inst. 1383 Vladimir Slamecka, Director Bachelor• s by dept. * Fellowship (4) 2000-5000 12 178-473/qtr. Master's by dept, 74 Teaching Assistantship (6) 2800-3666 12 178/qtr. 13 Teaching Ph, D. (1971-1973 incl.) Research Assistantship (8) 2800 12 178/qtr. 13 Research CS 9. Total: 9 Out-of-State Tuition Waiver (3) 1180 12 178/qtr. *B.s. offered for the first time in Fall1972,

382 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 If not included hours typo Academic year (with numloeranticipated 1974·1975) in dollars months in stipend ( dollan) per wHk of service 1972-1973

Georgia Southern College, Statesboro 30458 DEPARTMENT OF MATHEMATICS Applications due: 7/74 Bachelor's by inst, 1048 D. Earl Lavender, Head Bachelor's by dept. 25 Master's by dept. 5 Teaching Assistantship (5) 2300 9 150/qtr. 5 Teaching

Georgia State University, Atlanta 30303 DEPARTMENT OF MATHEMATICS Applications due: 6/1/74 Bachelor's by inst. 955* Jan List Boal, Chairman Bachelor's by dept. 54 Master's by dept. 18 Teaching Assistantship (3) 2300 9 9. 75/qtr. hr. 5 Teaching Graduate Asst. (6) 1800 9 9, 75/qtr. hr. 12-15 Tutorial, Ph. D. (1971-1973 incl.) *School of Arts and Sciences. paper Other 1. Total: 1 grading

DEPARTMENT OF MATHEMATICS Applications due: 2/15/74 Bachelor's by inst. 3468 J. G, Horne, Head Bachelor's by dept. 29 Teaching Assistantship (15) 2725-3900 9-12 555/9 mo. 10 Teaching Master• s by dept. 5 Research Assistantship (15) 2725-3900 9-12 555/9 mo. 10 Various Ph. D. (1971-1973 incl.) A&NT 8, G&T 9, A&FA 1, Other 2. Total: 15

University of Georgia, Athens 30602 DEPARTMENT OF STATISTICS AND COMPUTER SCIENCE Applications due: 2/15/74 Bachelor's by inst. 3941 Carl F. Kossack, Head Bachelor's by dept. 24 Fellowship (6) 2725-3900 9 or 12 537 Master's by dept, 5 Teaching Assistantship (6) 2725-3900 9 or 12 537 13 Teaching Ph.D, (1971-1973 incl.) Research Assistantship (4) 2725-3900 9 or 12 537 13 Research P&S 11. Total: 11

West Georgia College, Carrollton 30117 DEPARTMENT OF MATHEMATICS Applications due: 4/1/74 Bachelor's by inst. 862 c. R. Pittman, Chairman Bachelor's by dept. 20 Teaching Assistantship (3) 2100 9 9, 75/qtr. hr. 10 Lab Assis- Master's by dept. 5 tance

HAWAII University of Hawaii, Honolulu 96822 DEPARTMENT OF MATHEMATICS Applications due: 2/1/74 Bachelor's by inst. 540 H. s. Bear, Chairman Bachelor's by dept. 67 Teaching Assistantship (10) 3708-4308 9 20 Teaching Master's by dept. 6 Ph. D. (1971-1973 incl. ) A&FA 1, Total: 1

.. , ...... ,,...... , ...... , ...... , ...... ,,.. , ...... , ...... , .. ""'""'"'"'"""'"'"''""'" ...... ! PH. D. PROGRAM ! i = AT HAWAII The University of Hawaii Mathematics Department has a young and active faculty of 42 members. The Ph.D. program is new, and the small number of graduate students makes for an extremely favorable student/faculty ratio. Teaching Assistantships are available starting at $3708. Female applications are encouraged. For detailed information write to TomS. Pitcher, Graduate Chairman Department of Mathematics UNIVERSITY OF HAWAII i An Equal Opportunity Employer Honolulu, Hawaii 96822 : ...... , ...... , ...... ,.,.. .,,...... , ...... :

383 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not Included hours type Aca.mlcyear (with numbttranHclpated 1974-1975) In dollars months in sHpond (dollars) par woek of service 1972-1973

DEPARTMENT OF PUBLIC HEALTH SCIENCES Applications due: 3/1/74 Master's by dept. 3 C. S. Chung, Chairman Fellowship* (2) 200-250 12 *Traineeship in cancer related biostatistical problems.

IDAHO Idaho State University, Pocatello 83201 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst. 895 John Hilzman, Chairman Bachelor's by dept. 23 Master's by dept. 6 Fellowship (5) 2600 9 Teaching Assistantship (6) 2400 9 5 Teaching

University ofldaho, Moscow 83843 DEPARTMENT OF MATHEMATICS Applications due: 2/15/74 Bachelor's by inst. 1076 Howard E. Campbell, Chairman Bachelor's by dept. 21 Master's by dept. 1 Teaching Assistantship (11) 2675-3075 9 6 Teaching Ph. D. (1971-1973 incl. ) A&NT 1, G&T 2, P&S 1. Total: 4

ILLINOIS Bradley University, Peoria 61606 DEPARTMENT OF COMPUTER SCIENCE Applications due: 3,(1/74 Bachelor's by inst. 677 H. A. Morris, Chairman Master's by dept. 7 Teaching Assistantship (2) 1050-2100 9 Teaching

DePaul University, Chicago 60614 DEPARTMENT OF MATHEMATICS Applications due: 5/1/74 Bachelor's by inst. 1080 Jerry Goldman, Chairman Bachelor's by dept. 36 Master's by dept. 6 Teaching Assistantship (4) 2200 9 6 Teaching, Tutoring

Eastern Illinois University, Charleston 61920 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst. 850 Alphonso J. DiPietro, Head Bachelor's by dept. 60 Master's by dept. 16 Teaching Assistantship (8) 2700-5400 9 3-6 Teaching Graduate Assistantship (8) 1890 9 10 Tutoring, Computer Programming, Library Illinois Institute of Technology, Chicago 60616 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst. 523 Haim Reingold, Chairman Bachelor's by dept. 39 Fellowship (2) 2400-3600 12 Master's by dept. 17 Teaching Assistantship (30) 2200-2800 9 6 Teaching Ph. D. (1971-1973 incl. ) A&NT 7, G&T 4, A&FA 6. Total: 17

Illinois State University, Normal61761 DEPARTMENT OF MATHEMATICS Applications due: 6/10/74 Bachelor's by inst. 2160 Robert K. Ritt, Chairman Bachelor's by dept. 87 Master's by dept. Teaching Assistantship (10) 240 9 12-15 Tutoring 7 Loyola University, Chicago 60626 DEPARTMENT OF MATHEMATICS Applications due: 4/15/74 Bachelor's by inst. 1564 J. R. VandeVelde, Chairman Bachelor's by dept. 35 Master's by dept. 5 Teaching Assistantship (3) 2200 9 6-10 Teaching

384 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED

of financial assistance amount 9 or 12 if not included hours type Academic year (with number anticipated 1974·1975) in dollars months in stipend (dollars) per week of service 1972-1973

Northern Illinois University, DeKalb 60115 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 7/1/74 Bachelor's by inst. 4234 John L. Selfridge, Chairmnn Bachelor's by dept. 119 Teaching Assistantship (30/6) * 2520-3060 9 12 Teaching Master's by dept. 15 Research Assistnntship (0/2) * 2520-3060 9 12 Research Summer Assistnntship (30/8)* 560 2 6 *Numbers to the left of the slash are for mathematics, to the right for computer science.

Northwestern University, Evanston 60201

DEPARTMENT OF MATHEMATICS Bachelor's by inst. 506 Mark Mahowald, Chairman Bachelor's by dept. 32 Fellowship (7) 2500 9 2850 12 Teaching Master's by dept. 8 Teaching Assistantship (33) 2500 9 2850 12 Teaching Ph. D. (1971-1973 incl.) A&NT 10, G&T 7, A&FA 11, P&S 4, AM 3. Total: 35

COMMITTEE ON APPLIED MATHEMATICS Applications due: 2/15/74 Master's by dept. 3 W. E. Olmstead, Chairman Ph. D. (1971-1973 incl.) Fellowship (4) 3300-3500 12 AM 13. Total: 13 Teaching Assistantship (2) 3500-3800 9 Research Assistantship (3) 2700-3700 9-12

DEPARTMENT OF COMPUTER SCIENCES Applications due: 3/1/74 Bachelor's by inst. 1583 Stephens. Yan, Chairman Bachelor's by dept. 5 Fellowship (7) 260/mo. 9 Master's by dept. 18 Teaching Assistantship (8) 388/mo. * 9 15 Teaching/ Ph. D. (1971-1973 incl.) grading CS 12. Total: 12 Research Assistantship (5) 300/mo. 9 15 Research Summer Fellowship (15) 260-300/mo. 3 *This amount subject to tax; others are tax-free.

Southern Illinois University, Carbondale 62901 DEPARTMENT OF MATHEMATICS Applications due: 2/1/74* Bachelor's by inst. 4500 Neal E. Foland, Chairman Bachelor's by dept. 73 Master's by dept. 7 Fellowship (3) 3060-3300 12 35** Teaching Assistantship (34) 2610-3150 9 35** 6 Teaching Ph. D. (1971-1973 incl.) NSF Traineeship (1) 2400-3400 12 35** A&NT 2, G&T 1, A&FA 2, Other Total: *Late applications will be considered. 1. 6 **Fees per semester (tuition is waived).

DEPARTMENT OF COMPUTER SCIENCE Applications due: * Bachelor's by inst. 4500 A. M. Mark, Chairman Master's by dept. 5 Fellowship (3) 3060-3300 12 35** Teaching Assistantship (10) 2610-3150 9 35** 6 Teaching *Fellowships: 2/1/74; Assistantships: 3/1/74. **Approximate fees per semester (tuition is waived).

Southern Illinois University-Edwardsville 62025 DEPARTMENT OF MATHEMATICAL STUDIES Applications due: 6/74 Bachelor's by inst. 1690 Norval D. Wallace, Chairman Bachelor's by dept. 60 Master's by dept. 10 Teaching Assistantship (20) 3060-3330 9 Research Assistantship (1) 2340-2700 9 University of Chicago, Chicago 60637 DEPARTMENT OF MATHEMATICS Applications due: 2/1/74* Bachelor's by inst. 510 Felix E. Browder, Chairman Bachelor's by dept. 27 Master's by dept. 15 Fellowship (15) 2700 9 Research Assistantship (8) 2700 9 Research Ph. D. (1971-1973 incl.) Scholarship (5) Variable 9 A&NT 24, G&T 13, L 1, Tutor (12) 2100 9 4 Apprentice,A&FA 15, P&S 1, CS 1, teaching AM 2. Total: 57 Lecturer (12) 3600 9 4 Teaching *1/1/74 for foreign applicants.

385 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 If not indudecl hours type Academic year (with number anticipated 1974-1975) in dollars months in stipend ( clollan) per week of service 1972-1973

DEPARTMENT OF STATISTICS Applications due: * Bachelor's by inst. 450 Paul Meier, Chairman Bachelor's by dept. 2 Master's by dept. 4 Fellowship (9) 1800-5000 9 5 Research Teaching Assistantship (3) 1800-2700 9 5 Teaching Ph. D. (1971-1973 incl.) Research Assistantship (8) 1800-2700 9 5 Research P&S 11. Total: 11 *Domestic: 2/1/74; Foreign: 1/1/74.

University of Illinois at Chicago Circle, Chicago 60680 DEPARTMENT OF MATHEMATICS Applications due: * Bachelor's by inst. 3201 Joseph Landin, Head Bachelor's by dept. 138 Master's by dept. 31 Fellowship (4) 2000-3600 9 & 12 Teaching Assistantship (80) 3225 9 6 Teaching Ph. D. (1971-1973 incl.) Research Assistantship (2) 3225 12 20 Research A&NT 7, L 2, A&FA 2, Scholarship (4) P&S 1. Total: 12 *Assistantships: 8/15/74; Fellowships: 2/1/74.

University of Illinois at Urbana-Champaign, Urbana 61801 DEPARTMENT OF MATHEMATICS Applications due: 2/15/74* Bachelor's by inst. 5762 P. T. Bateman, Head Bachelor's by dept. 145 Fellowship** (17) 2500 12 Master's by dept. 76 Teaching Assistantship (150) 1815-3630 9 8-20 Teaching Ph.D. (1971-1973 incl.) Research Assistantship (4) 2420-3630 9 A&NT 17, G&T 13, L 7, Tuition and Fee Waiver (5) 12 A&FA 18, P&S 4, CS 3, Leadership Development AM 19. Total: 81 Program (15) varies 9 *Late applications may be considered. **Some fellowships may be augmented with teaching assistantships.

DEPARTMENT OF COMPUTER SCIENCE Applications due: * Bachelor's by inst. 5762 J. N. Snyder, Head Bachelor's by dept. 52 Master's by dept. 25 Fellowship (6) 2500 11 Teaching Assistantship (37) 3225-3450 9 20 Teaching Ph. D. (1971-1973 incl.) Research Assistantship (56) 3225-4750 12 20 Research CS 39. Total: 39 Tuition & Fee Waiver (4) 876-2114 12 *Summer and Fall: 2/15/74; Spring: 11/15/74.

Western Illinois University, Macomb 61455 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst. 1955 A. Jerry Shryock, Chairman Bachelor's by dept. 72 Master's by dept. 12 Teaching Assistantship (12) 2610 9 5-6 Teaching

INDIANA Ball State University, Muncie 47306 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 3/1/74 Bachelor's by inst. 2003 John H. Hoelzer, Chairman Bachelor's by dept. 62 Master's by dept. 36 Teaching Assistantship (18) 2700 9 4-5

Indiana State University, Terre Haute 47809 DEPARTMENT OF MATHEMATICS Applications due: 4/1/74 Bachelor's by inst. 2436 Vesper D. Moore, Chairman Bachelor's by dept. 52 Master's by dept. 30 Teaching Assistantship (12) 1800-2200 9 6. 75/sem. hr. 10-20 Teaching Summer (6) 500 2.5

386 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of finandal anistance amount 9 or 12 if not induded houn type Academic year (with number anHcipatod 1974-1975) in dollan months in stipend (dollars) per week of service 1972-1973

1diana University, Bloomington 47401 EPARTMENT OF MATHEMATICS Applications due: 2/15/74 Bachelor's by inst. 6900 'illiam P. Ziemer, Chairman Bachelor's by dept. 51 'ellowship (2) 3600-4200 12 * Master's by dept. 45 ~eaching Fellowship (4) 3250-4000 12 ** 3 Teaching Ph. D. (1971-1973 incl.) ~eaching Assistantship (122) 3000-3400 9 *** 5-6 Teaching A&NT 13, G&T 5, A&FA tesearch Assistantship (2) 2100-4000 9 ** 15-20 Research 11, P&S 2, CS 1, AM 6, lununer Seminar Fellowships (15) 500 2 II other 4. Total: 42 *Jn-state fees of $342 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. 11$36,50 for general costs for summer (Health Center, etc,).

DEPARTMENT OF COMPUTER SCIENCE Applications due: 2/1/74 Bachelor's by inst. 6900 Franklin Prosser, Chairman Bachelor's by dept, 8 Master's by dept. Fellowlihip (1) 3300 9 29-69/cr.hr.* 2 Teaching Assistantship (18) 2900-3000 9 146** 20 Teaching Research Assistantship (2) 3000 9 146** 20 Research *The lower figure for residents--the higher for nonresidents, **If, as is usually the case, fee remission is also granted.

Purdue University, Lafayette 47907 DEPARTMENT OF MATHEMATICS Applications due: * Bachelor's by inst. 4235 Meyer Jerison, Chairman Bachelor's by dept. 177 Fellowship (2) 3400-4000 12 60/sem, Master's by dept, 27 Teaching Assistantship (110) 3200-3800 9 60/sem. 6 Teaching Ph, D. (1971-1973 incl. ) Research Assistantship (5) 2200-2500 9 60/sem, A&NT 3, L 1, A&FA 26, Black Fellowship (2) 3600-4200 12 60/sem, AM 6, Total: 36 *Assistantships: 3/15/74; Fellowships: 2/1/74.

DEPARTMENT OF STATISTICS APplications due: Open Bachelor's by inst. 4235 S, S. Gupta, Head Bachelor's by dept. 3 Teaching Assistantship (30) 3000-3600 10 60/sem. 20 Master• s by dept. 12 Research Assistantship (5) 3000-3200 10 60/sem, 20 Ph. D. (1971-1973 incl.) P&S 14. Total: 14

DEPARTMENT OF COMPUTER SCIENCES Applications due: * Bachelor's by inst. 4880 S. D. Conte, Head Bachelor's by dept. 36 Fellowship (2-4) 9-12 Master's by dept. 44 Teaching Assistantship (25) 3000-3600 10 20 Ph, D. (1971-1973 incl.) Research Assistantship (25) 3000 10 CS 25, Total: 25 *Assistantships: 31/174; Fellowships: 2/1/74,

University of Notre Dame, Notre Dame 46556 DEPARTMENT OF MATHEMATICS Applications due: 2/15/74 Bachelor's by inst. 1617 John E. Derwent, Chairman Bachelor's by dept, 41 Master• s by dept. 55 Fellowship (11) 2000-3000 9 Teaching Assistantship (28) 2400-3000 9 4 Teaching Ph. D. (1971-1973 incl. ) A&NT 10, G&T 9, L 3, A&FA 2, Total: 24

IOWA Drake University, Des Moines 50311 DEPARTMENT OF MATHEMATICS Applications due: 6/1/74 Bachelor's by inst, 1200 Wayne L, Woodworth, Chairman Bachelor's by dept. 9 Master's by dept. 4 Teaching Assistantship (6) 2000-2500 9 6-8 Teaching

387 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of finandal anistance amount 9 or 12 if not induded hours typo Academic year (with number anticipated 1974·1975) in dollars months in stipend (dollars) per week of service 1972·1973

DEPARTMENT OF MATHEMATICS Applications due: 2/15/74* Bachelor's by inst, 321 Wilfred E. Barnes, Head Bachelor's by dept. t Master's by dept, Teaching Assistantship (35) 3240-3600 9 360 6 Teaching Research Assistantship (6) 4080 12 360 20 Research Ph. D. (1971-1973 incl.) A&NT 2, G&T 7, L 1, *Late applications will be considered if positions are available, CS 3, AM 1. Total: 14 DEPARTMENT OF COMPUTER SCIENCE Applications due: 3/1/74 Bachelor's by inst. 29E Robert M, Stewart, Chainnan Bachelor's by dept. € Master's by dept. 1 Teaching Assistantship (16) 3000-3800 9 120/mo, 3-6 Research Assistantship (14) 2790-3600 9 120/mo, 20 Ph, D. (1971-1973 incl.) Co-op (2) 6 120/mo. 20 Full time CS 6. Total: 6 industry

Iowa State University, Ames 50010 DEPARTMENT OF STATISTICS Applications due: 4/1/74 Bachelor's by inst, 3233 H. A. David, Head Bachelor's by dept. 5 Master's by dept. 10 Fellowship (1) 3000 9 444/qtr, Teaching Assistantship (10) 3042-3217 9 120/qtr, 22 Ph, D. (1971-1973 incl.) Research Assistantship (21) 3040-4056 12 120/qtr. 22 P&S 34, Total: 34 Premium for Academic Excellence Award (8) 40/mo. 12 120/qtr. 22

DEPARTMENT OF AEROSPACE ENGINEERING Applications due: 4/1/74 Bachelor's by inst, 3233 R. F. Brodsky, Head Bachelor's by dept. 50 Master's by dept, 5 Teaching Assistantship (4) 3000-3600 9 360 22 Teaching Research Assistantship (3) 3000-3400 9 360 22 Research Ph. D. (1971-1973 incl.) Contract (4) 3000-3400 9 or 12 360 22 Research CS 2, Other 5. Total: 7 University oflowa, Iowa City 52242 DEPARTMENT OF MATHEMATICS Applications due: 4/1/74 Bachelor's by inst. 1391 Richard R. Goldberg, Chainnan Bachelor's by dept. 73* Fellowship (1) 2200-3600 9 Master's by dept. 6 Teaching Assistantship (35) 3400-4000 9 710 20 Teaching Ph. D. (1971-1973 incl.) Research Assistantship (1) 3400-4000 9 710 20 Research A&NT 8, G&T 7, L 2, Teaching-Research Fellows (4) 3750-4250 12 6-20** A&FA 10, Other 2. Total: 29

DEPARTMENT OF COMPUTER SCIENCE Applications due: 2/1/74 Bachelor's by inst. 1391 Donald L, Ep~ey, Acting Chairman Bachelor's by dept. 73* Fellowship (1) 2800 9 Master's by dept, 10 Teaching Assistantship (10) 3777 9 710 20 Teaching Ph, D. (1971-1973 incl. ) Research Assistantship (4) 3777 9 710 20 Research CS 4. Total: 4 Teaching-Research Fellows (4) 4400 12 20**

DEPARTMENT OF STATISTICS Applications due: 3/1/74 Bachelor's by inst. 1391 Robert V. Hogg, Chainnan Bachelor's by dept, 73* Fellowship (3) 2200-3600 9 Master's by dept. 5 Teaching Assistantship (11) 3400-4000 9 710 20 Teaching Ph. D. (1971-1973 incl.) Research Assistantship (4) 3400-4000 9 710 20 Research P&S 11. Total: 11 Teaching-Research Fellows (3) 3750-4250 12 6-20** *Degree in mathematical sciences. **Free on fellowship year.

KANSAS Fort Hays Kansas State College, Hays 67601 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst. 1050 E. Beougher, Chainnan Bachelor's by dept. 28 Master• by dept, Teaching Assistantship (1 1/2) 2000 9 237. 50/sem. 20 Teaching, s 10 Research Federal loans (varies) varies 237. 50/sem,

Kansas State College of Pittsburg, Pittsburg 66762 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst, 1077 Helen F. Kriegsman, Chainnan Bachelor's by dept. 23 Master's by dept, Teaching Assistantship (5) 1850-2016 9 195 6 Teaching 16

388 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of flnandal assistance amount 9 or 12 if not included hours type Academic year (with number anticipated 1974.. 1915) In dollars months in stipend ( dollan) per week of service 1972·1973

Kansas State University, Manhattan 66506 DEPARTMENT OF MATHEMATICS Applications due: 4/15/74 Bachelor's by inst. 2213 John E. Maxfield, Head Bachelor's by dept. 17 Teaching Assistantship (20) 2430-3060 9 368/yr. 4 Teaching Master's by dept. 8 Research Assistantship (1) 2430-3060 9 368/yr. 4 Research Ph. D. (1971-1973 incl. ) A&NT 4, G&T 2, L 3. Total: 9

DEPARTMENT OF COMPUTER SCIENCE Applications due: 3/74 Bachelor's by inst. 2408 Paul s. Fisher, Head Bachelor's by dept. 70 Teaching Assistantship (10) 290-340 9 14/hr +58 20 Master's by dept. 15 *New program at Ph. D. level. Ph. D. (1971-1973 incl.)*

DEPARTMENT OF STATISTICS Bachelor's by inst. 2408 H. C. Fryer, Head Bachelor's by dept. 6 Teaching Assistantship (12) 2700-3400 9 6 Master• s by dept. 6 Research Assistantship (4) 3000-3600 12 Ph. D. (1971-1973 incl.) P&S 20. Total: 20

University of Kansas, Lawrence 66045 DEPARTMENT OF MATHEMATICS Applications due: 2/15/74 Bachelor's by inst. 2257 T. P. Srinivasan, Chairman Bachelor's by dept. 39 Fellowship (2) 2400-2800 9 Master's by dept. 18 Teaching Assistantship (55) 2900*-3200* 9 21. 20/cr.hr. 5-6 Teaching Ph. D. (1971-1973 incl.) A&NT 2, G&T 2, A&FA 3, *An upward revision is anticipated. P&S 2. Total: 9

DEPARTMENT OF COMPUTER SCIENCE Applications due: 4/15/74 Bachelor's by inst. 2810 Floyd R. Horowitz, Acting Chairman Master's by dept. 10 Fellowship (1) 3000 9 Ph. D. (1971-1973 incl.) Teaching Assistantship (15) 1450-2900 9 * 25% to 50% CS 1. Total: 1 Research Assistantship (4) 200-1350 2-9 * 12% to 50% *Students enrolled for more than 6 hours of credit pay $272; for less than 6 hours the hourly fee is $21. 20.

Wichita State University, Wichita 67208 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst. 1628 William M. Perel, Chairman Bachelor's by dept. 21 Master's by dept. 9 Teaching Assistantship (12) 2800 9 17.55/sem. hr. 6 Teaching

KENTUCKY Eastern Kentucky University, Richmond 40475 DEPARTMENT OF MATHEMATICS Applications due: 5/1/74 Bachelor's by inst. 1542 Bennie R. Lane, Chairman Bachelor's by dept. 25 Teaching Assistantship (6) 2200-2500 9 242.25 15 Teaching, Master's by dept. 8 preparation

Morehead State University, Morehead 40351 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: Open Bachelor's by inst. 1157 Glenn E. Johnston, Head Bachelor's by dept. 15 Teaching Assistantship (2) 2200 9 200/sem. 10 Paper Master's by dept. 3 grading, Assisting Murray State University, Murray 42071 DEPARTMENT OF MATHEMATICS Applications due: 3/15/74 Bachelor's by inst. 1157 Harold G. Robertson, Chairman Bachelor's by dept. 20 Teaching Assistantship (5) 1800-2700 9 425/yr. 15 Master's by dept. 3

389 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if nat Included hau,. typo Academic year (with number anticipated 1974-1975) In dollars months in sflpond ( clalla,.) per week of service 1972-1973

University of Kentucky, Lexington 40506

DEPARTMENT OF MATHEMATICS Applications due: 2/1/74 Bachelor's by inst. 2774 Raymond H. Cox, Chairman Bachelor's by dept. 43 Master• s by dept. 12 Fellowship (4) 2700 9 265/sem. Teaching Assistantship (50) 3300-3600 9 265/sem. 3-6 Teaching Ph. D. (1971-1973 incl.) Research Assistantship (3) 3000 9 265/sem. A&NT 5, G&T 6, A&FA 10. Total: 21

DEPARTMENT OF COMPUTER SCIENCE Applications due: * Bachelor's by inst. 2726 Thaddeus B. Curtz, Chairman Bachelor's by dept. 20 Master• s by dept. 3 Fellowship (1) 3000 9 16 Teaching Assistantship (8) 1800-3600 9 10-20 Research Assistantship (1) 3600 9 20 *Assistantships: 3/15/74; Fellowships: 2/1/74.

DEPARTMENT OF STATISTICS Applications due: * Bachelor's by inst. 2774 R. L. Anderson, Chairman Master's by dept. 3 Fellowship (4) 2700-3600 9 530 Ph. D. (1971-1973 incl.) Teaching Assistantship (17) 3100-3400 9 530 15-20 Teaching P&S 3. Total: 3 Research Assistantship (6) 3700-4000 12 530 15-20 Research, consulting *Fellowships: 2/1/74; Assistantships: 4/1/74.

University of Louisville, Louisville 40208 DEPARTMENT OF MATHEMATICS Bachelor's by inst. 1132 W. H. Spragens, Acting Chairman Bachelor's by dept. 25 Master• s by dept. 7 Teaching Assistantship (5) 2750-2950 9 6 Teaching

DEPARTMENT OF APPLIED MATHEMATICS AND COMPUTER SCIENCE Applications due: Open Bachelor's by inst. 1321 Bart Childs, Chairman Master's by dept. 2 Teaching Assistantship (2) 2750 9 9 Teaching

Western Kentucky University, Bowling Green 42101 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst. 15018 Robert C. Bueker, Chairman Bachelor's by dept. 26 Teaching Assistantship (8) 2200-2700 9 235/sem. 10 Teaching, Master's by dept. 3 tutorials

WUISIANA Louisiana State University, Baton Rouge 70803 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst. 2501 L. I. Wade, Head Bachelor's by dept. 38 Master• s by dept. 27 Fellowship (2) 3000 12 Teaching Assistantship (43) 3200-5000 9 55/sem. 6 Teaching Ph, D. (1971-1973 incl. ) or equiv A&NT 9, G&T 3, A&FA 9. alent Total: 21

Louisiana State University in New Orleans 70122 DEPARTMENT OF MATHEMATICS Applications due: 5/1/74 Bachelor's by inst. 1071 J. R. Foote, Chairman Bachelor's by dept. 28 Master• s by dept. 4 Teaching Assistantship (10) 2300-2500 9 50 6 Teaching

Louisiana Tech University, Ruston 71270 DEPARTMENT OF MATHEMATICS Applications due: 2/15/74 Bachelor's by inst. 1450 W. B. Temple, Head Bachelor's by dept. 13 Master's by dept. 3 Teaching Assistantship (4) 4000 9 5 Teaching Graduate Assistant (6) 2400 9 5 Tutoring Ph. D. (1971-1973 incl.) A&NT 2, A&FA 1. Total: 3

390 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not included houn type Academic year (with number anticipated 1974-1975) in dollars months in stipend ( dollan) per week of service 1972-1973

McNeese State University, Lake Charles 70601 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: * Bachelor's by inst. 750 Patrick L. Ford, Head Bachelor's by dept. 10 Master's by dept. Teaching Assistantship (6) 2400 9 10 Teaching, 10 aid ses sions, etc. *Spring: 12/1/73; Fall: 7/1/74.

Northeast Louisiana University, Monroe 71201 DEPARTMENT OF MATHEMATICS Applications due: 3/15/74 Bachelor's by inst. 1458 Richard D. Finley, Chairman Bachelor's by dept. 16 Teaching Assistantship (15) 2400 9 6 Teaching Master's by dept. 9

Northwestern State University, Natchitoches 71457 DEPARTMENT OF MATHEMATICS Applications due: Open Bachelor's by inst. 857 Russell Whittington, Jr., Head Bachelor's by dept. 9 Master's by dept. Teaching Assistantship (2) 1200-1500 9 3-6 5

Southeastern Louisiana University, Hammond 70401 DEPARTMENT OF MATHEMATICS Applications due: 6/74 Bachelor's by inst. 788 Robert C. Brown, Head Bachelor's by dept. 25 Teaching Assistantship (2) 2000-2400 9 63 6 Teaching Master's by dept. 1

Tulane University, New Orleans 70ll8 DEPARTMENT OF MATHEMATICS Applications due: 2/15/74 Bachelor's by inst. 938 Frank T. Birtel, Chairman Bachelor's by dept. 30 Master's by dept. Teaching Assistantship (38) 2400-2800 9 3 Teaching 16 NSF (2) 3600 12 Ph. D. (1971-1973 incl.) A&NT 8, G&T 2, A&FA 11. Total: 21

University of Southwestern Louisiana, Lafayette 70501 DEPARTMENT OF MATHEMATICS* Applications due: 3/1/74 Bachelor's by inst. 1390 David R. Andrew, Head Bachelor's by dept. 73*' Master's by dept. 42 Teaching Assistantship (45) 2000-3000 9 6 Teaching or equiv- Ph. D. (1971-1973 incl.) *This report includes statistics and computer science. alent A&NT 2, A&FA 1, P&S 4, **Includes 24 in math. education and 26 in computer science. CS 5. Total: 12

MAINE Bowdoin College, Brunswick 04011 DEPARTMENT OF MATHEMATICS Bachelor's by inst. 252 Richard L. Chittim, Chairman Bachelor's by dept. 18 NSF Sequential SUmmer Master's by dept. 23 Institute (17) * 450** *Proposal submitted to NSF; no grant awarded to date. **Plus travel and dependency allowance.

University of Maine at Orono 04473 DEPARTMENT OF MATHEMATICS AND ASTRONOMY Applications due: 4/74 Bachelor's by inst. 1552 John C. Mmrhuber, Chairman Bachelor's by dept. 26 Fellowship (2) 3000 12 Master's by dept. 10 Teaching Assistantship (14) 2369-2400 9 20 Recitation sections, Lab saber vision Scholarship (20) 9

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 1974~1975) in dollars months in stipend (dollars) per week of service 1972-1973

MARYLAND Johns Hopkins University, Baltimore 21218 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Ph. D. (1971-1973 incl.) J. H. Sampson, Chairman A&NT 5, G&T 3, A&FA 3. Total: 11 Teaching Assistantship (25) 2400 9 3000 4 Teaching or grading Tuition (25) 3000

DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 3/1/74 Bachelor's by dept. 10 Roger A. Horn, Chairman Master's by dept. 7 Teaching Fellowship (20) 9 (varies) 8-10 Teaching Ph. D. (1971-1973 incl.) P&S 7, Other 14. Total: 21

DEPARTMENT OF BIOSTATISTICS, SCHOOL OF HYGIENE AND PUBLIC HEALTH Applications due: 3/1/74 Master's by dept. 4 Alan Ross, Chairman Ph. D. (1971-1973 incl.) Scholarship (Tuition) (2) 3000 12 P&S 10. Total: 10

University of Maryland, Baltimore County, Baltimore 21228 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst. 472 Fred Gross, Chairman Bachelor's by dept. 14 Master's by dept. 3 Teaching Assistantship (15) 2900-3500 9

University of Maryland, College Park 207 42 DEPARTMENT OF MATHEMATICS Applications due: * Bachelor's by inst. 5125 J. K. Goldhaber, Chairman Bachelor's by dept. 73 Master's by dept. 27 Fellowship (4) 4000 9 387-708 Teaching Assistantship (113) 2900-3800 9 4-6 Teaching Ph. D. (1971-1973 incl.) Research Assistantship (2) 4000 9 A&NT 9, G&T 6, L 2, A&FA 26, P&S 2, CS 2, *11/1/73 for spring semester; 5/1/74 for fall semester. AM 22. Total: 69

DEPARTMENT OF COMPUTER SCIENCE Applications due: 2/1/74 Bachelor's by inst. 2291 William F. Atchison, Acting Chairman Master's by dept. 15 Teaching Assistantship (19) 2900-3800 9 4-6 Teaching Ph, D. (1971-1973 incl.) Research Assistantship (10) 3600-4200 9 43/cr. 20 Research CS 1. Total: 1

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. TEACHING ASSISTANTSHIPS: $2900-$3800 with Remission of Fees APPLY TO: Chairman, Graduate Committee ::: Division of Mathematics and Physics !l!

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392 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial anistance amount 9 or 12 If not included houn typo Academic year (with number anHclpatod 1974·1975) in dollan months in stipend ( dollan) per WHk of service 1972-1973

MASSACHUSETTS Boston CoUege, Chestnut Hill 02167 DEPARTMENT OF MATHEMATICS Applications due: 3/15/74 Bachelor's by inst. 1420 Joseph A. Sullivan, Chairman Bachelor's by dept. 68 Master's by dept. 11 Teaching Fellowship (12) 2400-2600 9 6 Teaching Scholarship (2) 9 3 Tutoring

Boston University, Boston 02215 DEPARTMENT OF MATHEMATICS Applications due: 2/15/74 Bachelor's by inst. 1407 Robin E. Esch, Chairman Bachelor's by dept. 51 Master• s by dept. 12 Fellowship (20) 2800 9 6 Teaching Graduate Assistant (2) Tuition, fees 9 12 Library, Ph. D. (1971-1973 incl.) etc. A&NT 3, L 1, A&FA 1, P&S 1, CS 1, AM 2. Total: 9

Brandeis University, Waltham 02154 DEPARTMENT OF MATHEMATICS Applications due: 2/1/74 Bachelor's by inst. 608 Harold L Levine, Chairman Bachelor's by dept. 15 Fellowship (10) 1200-3000 9 & 12 Grading, Master's by dept. 7 Research Ph. D. (1971-1973 incl.) Teaching Assistantship (14) 1300-2600 9 Teaching, A&NT 19. Total: 19 Research Research Assistantship (9) 1300-2600 9 Research Scholarship (Tuition) (30) 250-3100 Wien, Afgrad (3) 2400-2500 9 & 10 Clark University, Worcester 01610 DEPARTMENT OF MATHEMATICS Applications due: 2/20/74 Bachelor's by inst. 427 John F. Kennison, Chairman Bachelor's by dept. 11 Fellowship (1) 3000-3500 9 Master's by dept. 3 Teaching Assistantship (6) 2600-3000 9 4 Ph. D. (1971-1973 incl. ) Research Assistantship (1) 2000 9 A&FA 2, Other 2. Total:4 Scholarship (1) 1000 9 Computer Teaching Assistant (1) 2600 9 10

Harvard University, Cambridge 02138 DEPARTMENT OF MATHEMATICS Applications due: 1/10/74 Bachelor's by inst. 1450 Raoul Bott, Chairman Bachelor's by dept, 33 Master's by dept. 7 Fellowship (3) 3600 12 * Teaching Fellowship (22) 1950-2430 9 ** 3 Teaching Ph. D. (1971-1973 incl. ) Research Assistantship (3) 900-3600 9-12 A&NT 13, G&T 13, A&FA 5, AM 1, Other 2. Total: *Full tuition. 34 **Possible abatement.

COMMITTEE ON APPLIED MATHEMATICS* Applications due: 1/10/74 Bachelor's by inst. 1450 Donald G.M. Anderson, Chairman Bachelor's by dept. 17 Teaching Fellowship (50) 1625-2025 9 ** 10 Grading, Master's by dept. 5 teaching Ph. D. (1971-1973 incl.) Teaching Assistantship (5) varies-1200 9 10 Grading Total: 2 Research Assistantship (100) 2175-4725 12 varies 10-20 Research Scholarship (30) varies-2600 9 DIVISION OF ENGINEERING & APPLIED PHYSICS* Harvey Brooks, Dean Applications due: 1/10/74 Bachelor's by inst. 1450 *Note: The figures on financial aid are combined with those of the Committee on Bachelor's by dept. 14 Applied Mathematics. Master's by dept. 40 **Based on need. Ph.D. (1971-1973 incl.) Total: 13 DEPARTMENT OF STATISTICS Applications due: 1/10/74 Bachelor's by inst. 1000 Arthur P. Dempster, Chairman Bachelor's by dept. 1 Master's by dept. 2 Teaching Fellowship (15) 650-810 5 8 Teaching Research Assistantship * Ph. D. (1971-1973 incl.) Scholarship** P&slo. Total: 10 *How many will be offered unknown. **Depends upon need of student.

393 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 If not included hours type Academic year ( whh number anticipated 1974-1975) in dollars months in stipend (doll an) per wHk of service 1972-1973

Lowell Technological Institute, Lowell 01854 DEPARTMENT OF MATHEMATICS Applications due: 5/1/74 Bachelor's by inst, 800 I. J. Weinberg, Chairman Bachelor's by dept. 45 Teaching Assistantship (5) 3000 9 6 Teaching Master's by dept, 5

Massachusetts Institute of Technology, Cambridge 02139 DEPARTMENT OF MATHEMATICS Applications due: 1/15/74 Bachelor's by inst. 1039 Kenneth M. Hoffman, Head Bachelor's by dept. 121 by 5 NSF Fellowship (26) 2700 9 Master• s dept, 3600 12 Ph. D. (1971-1973 incl.) MIT sponsored Fellowship (3) 3000 9 A&NT 8, G&T 15, L 8, Teaching Assistantship (47) 3555 9 6 Teaching or A&FA 19, P&S 3, CS 9, 16 Grading AM 12, Other 4. Total: 78 Papers Research Assistantship (8) 6025 9 3100 16 Research Traineeship (1) 2250 9 3000 12

Tufts University, Medford 02155 DEPARTMENT OF MATHEMATICS Applications due: 3/15/74 Bachelor's by inst. 931 George F. Leger, Chairman Bachelor's by dept, 34 Master's by dept. 1 Teaching Assistantship (8) 1250 9 3 Teaching Scholarship (8) 3200 Ph.D, (1971-1973 incl. ) LT.'Total: 1

University of Massachusetts, Amherst 01002 DEPARTMENT OF MATHEMATICS AND STATISTICS Applications due: 2/74 Bachelor's by inst. 3390 Robert J. Blattner, Head Bachelor's by dept, 62 Fellowship (3) 2250-2800 9 20 Master's by dept. 18 Teaching Assistantship* (48) 3400-3925 9 & 12 20 Ph, D. (1971-1973 incl.) Nonsupported graduate A&NT 8, G&T 6, A&FA 2, students (20) AM 1, Other 3. Total: 20 *Includes both Teaching Assistants and Teaching Associates,

DEPARTMENT OF COMPUTER AND INFORMATION SCIENCES Applications due: 1/15/74 M, M. Arbib, Chairman Teaching Assistantship (10) 3000-3500 9 20 Research Assistantship (5) 3000-3500 9 20

Worcester Polytechnic Institute, Worcester 01609 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor• s by inst, 421 J. J. Malone, Chairman Bachelor's by dept. 35 by Teaching Assistantship (6) 2500 9 10-12 Assisting Master• s dept. 6

MICHIGAN Andrews University, Berrien Springs 49104 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 3/15/74 Bachelor's by inst, 273 Harold T, Jones, Chairman Bachelor's by dept. 6 Master• s by dept. 3 Fellowship (1) 2000 9 960 Teaching Assistantship (2) 2100 9 960 10 Teaching

Central Michigan University, Mount Pleasant 48858 DEPARTMENT OF MATHEMATICS Applications due: 2/15/74 Bachelor's by inst. 2845 Edward H. Whitmore, Chairman Bachelor's by dept. 132 Master's by dept. 12 Fellowship (2) 1000-2000 9 Teaching Assistantship (7) 2430-3030 9 6 Teaching

Eastern Michigan University, Ypsilanti 48197 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst, 2753 Robert S, Pate, Head Bachelor's by dept, 118 Master• s by dept, 15 Teaching Fellowship (6) 3000 9 685 6 Teaching

394 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 If not included hours typo Academic year (with number anticipated 1974·1975) in dollan months in stipend ( dollan) per week of service 1972-1973

Michigan State University, East Lansing 48823 DEPARTMENT OF MATHEMATICS Applications due: 2/1/74 Bachelor's by inst. 7631 Joseph Adney, Chairman Bachelor's by dept. 162 Master's by dept. 36 Fellowship (3). 2250-3000 9 17/cr. Teaching Assistantship (90) 3332-3841 9 17/cr. 20 Teaching, Ph, D. (1971-1973 incl.) Paper A&NT 16, G&T 8, A&FA grading, 15, CS 4, AM 2, Other 2. etc. Total: 47 Research Assistantship (4) 3269-3508 9 17/cr. Scholarship (3) 500 9 17/cr.

DEPARTMENT OF COMPUTER SCIENCE Applications due: 3/15/74 Bachelor's by inst. 7631 Harry G. Hedges, Chairman Bachelor's by dept. 79 Master's by dept. 16 Teaching Assistantship (4) 3500-4500 9 20 Research Assistantship (4-8) 4666-5500 12 20 Ph. D. (1971-1973 incl.) Hourly Paid Positions (6) 1000-3000 9 10-15 CS 6, Total: 6

DEPARTMENT OF STATISTICS AND PROBABILITY Applications due: 3/1/74 Bachelor's by inst. 7631 James stapleton, Chairman Bachelor's by dept. 14 Teaching Assistantship (18) 3510-3960 9 17/cr. 15 Teaching, Master's by dept. 15 Grading Ph. D. (1971-1973 incl.) Research Assistantship (3) 3510-3960 9 17/cr. 15 Research, P&S 12. Total: 12 Consulting

Michigan Technological University, Houghton 49931 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst. 831 Zane C. Motteler, Head Bachelor's by dept. 30 Teaching Assistantship (12) 3000-3300 9 4-5 Teaching Master's by dept. 7

Northern Michigan University, Marquette 40955 DEPARTMENT OF MATHEMATICS Applications due: 3/15/74 Bachelor's by inst. 650 C. B. stortz, Head Bachelor's bY dept. 30 Teaching Fellowship (2) 2500-2700 9 4 Teaching Master's by dept. 5

Oakland University, Rochester 48063 DEPARTMENT OF MATHEMATICS Applications due: 4/1/74 Bachelor's by inst. 1153 George F. Feeman, Chairman Bachelor's by dept, 32 5 Teaching Assistantship (4) 2400-2800 8 1224* 10 Assisting Master's by dept. *Waived in most cases.

University of Detroit, Detroit 48221 DEPARTMENT OF MATHEMATICS Bachelor's by inst, 609 Karl Folley, Chairman Bachelor's by dept, 38 Master• s by dept. 27 Teaching Fellowship (6) 2400-2700 9 6 Teaching Tuition waiver (2) Grading Papers University of Michigan, Ann Arbor 48104 DEPARTMENT OF MATHEMATICS Applications due: 2/1/74 Bachelor's by inst. 2778 F, W. Gehring, Chairman Bachelor's by dept. 115 Fellowship* (8) 2000-3000 9 Master's by dept. 67 Teaching Fellowship** (85) 3640-4110 9 880-1096 4-6 Teaching Ph. D. (1971-1973 incl. ) Teaching Assistantship (50) 600-1800 9 880-2840 4-15 Grading A&NT 13, G&T 11, L 4, papers A&FA 26, P&S 2, CS 1, Scholarship*** (5) Up to 2840 9 880-2840 AM 3, Other 4. Total: 64 Other# (15) Up to 3440 9 *All types, including University, state and Actuarial Science Fellowships. Some are available on a 12 month basis with a proportionally higher stipend. **Approximately 5 of these fellowships will be combination appointments. ***Primarily for students in Actuarial Science, #Primarily for students of certain minority groups.

DEPARTMENT OF BIOSTATISTICS Master's by dept. 12 Richard G. Cornell, Chairman Ph.D. (1971-1973 incl.) Research Assistantship (2) 3000-5000 9 20 Research P&S 2. Total: 2

395 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not indudad hours type Academic year (with numberanHcipatod 1974-1975) in dollars months in stipend (dollars) per week of service 1972-1973

DEPARTMENT OF COMPUTER AND COMMUNICATION SCIENCES Applications due: 2/1/74 Bachelor's by inst. 5288 Bernard A. Galler, Chairman Bachelor's by dept. 50 Master's by dept, 9 Fellowship (3) 2500-3600 9 or 12 Teaching Fellowship (31) i725-3950 9 * 2-4 Teaching Ph. D. (1971-1973 incl.) Teaching Assistantship (6) 600 12 * 20 'CS'Ts. Total: 18 Research Assistantship (35) 1850-8000 12 * ** *In-state: $548/term; out-of-state: $1420/term. There are many financial support programs available through the department; some cover all tuition costs, **Half to full time research.

Wa:fne State University, Detroit 48202 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74* Bachelor's by inst, 4657 Martin T. Wechsler, Chairman Bachelor's by dept. 81 Fellowship (4) 2400 and up 9 Master• s by dept. 18 Teaching Assistantship (40) 3000 and up 9 ** 6 Teaching Ph. D. (1971-1973 incl.) *Late applications will be considered if positions are still available, A&NT 6, G&T 2, A&FA 10, **student pays tuition in excess of $591. P&S 10, Total: 28

Western Michigan University, Kalamazoo 49001 DEPARTMENT OF MATHEMATICS Applications due: * Bachelor's by inst. 4439 A. Bruce Clarke, Chairman Bachelor's by dept, 83 Master's by dept, 40 Fellowship (6) 3000-4000 8 24/cr. hr. 6 Teaching Teaching Assistantship (24) 3000-3200 8 24/cr. hr. 18 Teaching Ph. D. (1971-1973 incl. ) or Com- A&NT 3, G&T 1, A&FA 2. puter Cen- Total: 6 ter Asst. Spring or Summer Assistantship (24) 750 2 24/cr. hr. 18 Teaching *Assistantships: 3/1/74; Fellowships: 2/15/74.

MINNESOTA Mankato State College, Mankato 56001 DEPARTMENT OF MATHEMATICS AND ASTRONOMY Applications due: 4/1/74 Bachelor's by inst. 2327 V. Dean Turner, Chairman Bachelor's by dept. 94 Master's by dept. 8 Teaching Assistantship (1) 2100 9 4 Teaching

St. Cloud State College, St. Cloud 56301 DEPARTMENT OF MATHEMATICS Applications due: 3/15/74 Bachelor's by inst. 900 Kent F. Carlson, Chairman Bachelor's by dept. 29 Master• s by dept, 4 Teaching Assistantship (2) 2400-3000 9 * 8 Teaching *$20. 25/cr. hr, plus fees.

University of Minnesota, Minneapolis 55455 SCHOOL OF MATHEMATICS Applications due: 2/15/74 Bachelor's by inst. 6085 Johannes Nitsche, Chairman Bachelor's by dept, 94 Fellowship (5) 3000-4600 9-12 Master• s by dept, 27 Teaching Assistantship (80) 3654-4109 9 690* 18 Teaching Ph. D. (1971-1973 incl. ) Research Assistantship (4) 3546-4728 9-12 690* A &NT 9, G&T 5, L 2, *These figures represent current rates. 1974-1975 rates have not been determined, A&FA 18, P&S 2, AM 2, Total: 38

DIVISION OF BIOMETRY Applications due: 3/15/74 Bachelor's by inst. 6085 Marcus 0. Kjelsberg, Director Bachelor• s by dept, 6 Master's by dept, Teaching AssistantshiP (4) 3654 9 275,50 20 Teaching 5 Research Assistantship (2) 3546 9 275,50 20 Research Ph, D. (1971-1973 incl.) Other 11. Total: 11

396 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not included hours type Academic year (with number anticipated 1974-1975) in dollars months in stipend (dollars) per week of service 1972-1973

DEPARTMENT OF COMPUTER, INFORMATION, AND CONTROL SCIENCES Applications due: 2/14/74 Bachelor's by inst. 6085 J. B. Rosen, Head Bachelor's by dept. 13 Teaching Fellowship (2) 6000-7000 12 Master's by dept. 9 Teaching Assistantship (9) 3500-4000 9 600 Ph. D. (1971-1973 incl.) jlesearch Assistantship (9) 3500-4000 9 600 CS 5. Total: 5 NSF (1) 2250 9

SCHOOL OF STATISTICS Applications due: 3/15/74 Bachelor's by inst. 7207 Seymour Geisser, Director Ph. D. (1971-1973 incl.) Teaching Assistantship (14) 3800 9 510 12-20 P&S 6. Total: 6 Research Assistantship (4) 3700 9 690 12-20

MISSISSIPPI Mississippi State College for Women, Columbus 39701 DEPARTMENT OF MATHEMATICS Applications due: 4/1/74 Bachelor's by inst. 500 Donald A. King, Head Bachelor• s by dept. 19 Fellowship (2) 300-500 9 Master's by dept. 2 Graduate Assistant (2) 1000-1600 9 Tutoring, Paper grad ing

Mississippi State University, Mississippi State 39762 DEPARTMENT OF MATHEMATICS Applications due: 3/15/74 Bachelor• s by inst. 1787 Thomas A. Atchison, Head Bachelor's by dept. 31 Teaching Assistantship (15) 1500-3000 9 250/sem. 3 or 6 Teaching Master's by dept. 1

University of Mississippi, University 38677 DEPARTMENT OF MATHEMATICS Applications due: 2/15/74 Bachelor's by inst. 1800 Roy D. Sheffield~ Chairman Bachelor's by dept. 30 Fellowship (3) 2000-3000 9 258/sem. Master's by dept. 6 Teaching Assistantship (16) 2700-3200 9 258/sem. 6 Teaching Ph. D. (1971-1973 incl.) G&T 2, A&FA 5. Total: 7

University of Southern Mississippi, Hattiesburg 39401 DEPARTMENT OF MATHEMATICS Applications due: 3/15/74 Bachelor's by inst. 2500 James Caveny, Chairman Bachelor• s by dept. 58 Fellowship (4) 3000 12 159/qtr. 1 Tutorial Master's by dept. 8 laboratory Teaching Assistantship (8) 1500-2000 9 159/qtr. 3 Teaching

UNIVERSITY OF MINNESOTA The School of Mathematics at the University of Minnesota is now accepting applications for Teaching Assistantships in Mathematics for the academic year 1974-75. The stipend will equal or exceed the current rote of $3654. Minnesota offers programs leading to the M.S. and Ph.D. degrees in all major branches and most specialized disciplines of mathematics. All teaching assistants ore provided office space and there is on excellent mathematics library conveniently located in the mathematics building. For information and applications write to Professor Howard Jenkins, Associate Head School of Mathematics UNIVERSITY OF MINNESOTA Minneapolis, Minnesota 55455

397 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 If nat includod haun type Aca•mic year (with number anticipated 1974-1975) in dollars months in stipend ( dollan) par waak of service 1972-1973

MISSOURI Central Missouri State College, Warrensburg 64093 DEPARTMENT OF MATHEMATICS Bachelor's by inst. 1694 H. Keith stumpff, Head Bachelor's by dept. 39 Teaching Assistantship (6) 1800 9 300/yr. 5 Master• s by dept. 7

Northeast Missouri State University, Kirksville 63501 DIVISION OF MATHEMATICS Applications due: 4/1/74 Bachelor's by inst. 1113 Dale Woods, Head Bachelor's by dept. 31 Teaching Assistantship (4) 2000 9 3 Teaching Master• s by dept. 41 Assistantship (6) 1000 9 15 Paper grad ing

St. Louis University, St. Louis 63103 DEPARTMENT OF MATHEMATICS Applications due: 2/1/74 Bachelor's by inst. 800 Raymond W. Freese, Chairman Bachelor's by dept. 28 Teaching Fellowship (10) 2500 9 70/sem. hr.* 6 Master's by dept. 19 *Some fellowships include partial tuition remission. Ph. D. (1971-1973 incl.) A&NT 2, G&T 1, A&FA 4, P&s 2, CS 1, AM 1. Total: 11 University of Missouri-Columbia 65201 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst. 3196 Joseph L. Zemmer, Chairman Bachelor• s by dept. 77 Teaching Assistantship (60) 3050-5250 9 540 6-10 Teaching Master's by dept. 14 Ph. D. (1971-1973 incl.) A'&NT 5, G&T 3, A&FA 5. Total: 13

DEPARTMENT OF COMPUTER SCIENCE Applications due: 4/15/74 Bachelor's by inst. 3196 Paul Blackwell, Chairman Master's by dept. 9 Teaching Assistantship (5) 3000 9 * 6 Teaching Research Assistantship (4) 4000 12 * 20 Assist in Computer *Students pay approximately $250 in incidental fees. Center DEPARTMENT OF STATISTICS Applications due: 3/1/74 Bachelor's by inst. 3196 Frederick Williams, Chairman Bachelor's by dept. 2 Teaching Master's by dept. 10 Teaching Assistantship (13) 3200-3800 9 * 6 Research Assistantship (3) 3000-5400 9-12 * 12-20 Research - Ph. D. (1971-1973 incl. ) Full time 'P'&S'7. Total: 7 *Fees are currently $270 per semester. in summer

University of Missouri-Kansas City 64110 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst. 1075 Paul Liehnitz, Chairman Bachelor's by dept. 23 Master• s by dept. 4 Fellowship (3) 2500-3000 9 Teaching Assistantship (12) 3500-3700 9 275/sem. 4 Teaching Ph. D. (1971-1973 incl. ) Research Assistantship (1) 3600 9 275/sem. 20 Research A'&NT 2, G&T 1, A&FA 3. Other (7) 5600-7325 9 70/sem. 8-12 Teaching Total: 6

398 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not included hours type Academic year (with number anticipated 1974-1975) in dollars months in stipend (dollars) per week of service 1972-1973

University of Missouri-Rolla 65401 DEPARTMENT OF MATHEMATICS Applications due: 2/15/74 Bachelor's by inst. 879 Glen Haddock, Chairman Bachelor's by dept. 17 Master's by dept. 7 Teaching Assistantship (36) 3500 9 500 6-8 Teaching Research Assistantship (2) 3500 9 500 20 Research Ph. D. (1971-1973 incl.) A&NT 1, G&T 1, A&FA 4, P&S 2, CS 5, AM 1. Total: 14

DEPARTMENT OF COMPUTER SCIENCE Applications due: 3/1/74 Bachelor's by inst. 879 John W. Hamblen, Chairman Bachelor's by dept. 67 Teaching Assistantship (12) 3500 9 * 20 Teaching Master's by dept. 24 Research Assistantship (4) 3500 9 * 20 Research Ph. D. (1971-1973 incl.) *No tuition, fees amount to approximately $250/semester. 'CS""'8." Total: 8

DEPARTMENT OF ENGINEERING MECHANICS Applications due: Open Bachelor's by inst. 879 Peter G. Hansen, Chairman Bachelor's by dept. 1 Teaching Assistantship (4) 3500 9 20 Teaching Master's by dept. 12 and/or Lab. Assistant Research Assistantship (2) 3500 9 20 Research

University of Missouri, St. Louis 63121 DEPARTMENT OF MATHEMATICS Applications due: 7/1/74 Bachelor's by inst. 413 Deborah Tepper Raimo, Chairman Bachelor's by dept. 25 Teaching Assistantship (10) 3300-3500 9 250 6 Teaching

Washington University, St. Louis 63130 DEPARTMENT OF MATHEMATICS Applications due: 2/15/74 Bachelor's by inst. 823 Franklin Raimo, Chairman Bachelor's by dept. 6 Master's Fellowship (5) 2700-3800 9 3-6 Grading by dept. 5 Teaching Assistantship (19) 2700-3800 9 9 Teaching & Ph. D. (1971-1973 incl.) Grading A&NT 3, G&T 5, A&FA 8. Research Assistantship (6) 2800-3800 9 9 Research Total: 16 Scholarship (5)

Washington University, St. Louis 63130 DEPARTMENT OF APPLIED MATHEMATICS AND COMPUTER SCIENCE Applications due: 2/15/74 Bachelor's by inst. 893 William E. Ball, Chairman Bachelor's by dept. 28 Fellowship (3) 5130-5580 9 Master's by dept. 11 Teaching Assistantship (5) 3360-4840 9 10-20 Teaching Ph. D. (1971-1973 incl.) Research Assistantship (6) 4840-5000 9-12 20 Research P&S 1, CS 2, AM 1, Other 6. Total: 10

MONTANA Montana State University, Bozeman 59715 DEPARTMENT OF MATHEMATICS Applications due: 2/15/74 Bachelor's by inst. 1225 Robert D. Engle, Head Bachelor's by dept. 25 Master's by dept. 5 Teaching Assistantship (15) 3000-3400 9 * 6-7 Teaching Ph. D. (1971-1973 incl.) *Resident $59/qtr. hr.; nonresident $77/qtr. hr. G&T 3, A&FA 3, P&S 2. Total: 8

399 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 If not included houn typo Academic year (with number anticipated 1974·1975) in dollars months in stipend ( dollan) per week of service 1972-1973

University of Montana, Missoula 59801 DEPARTMENT OF MATHEMATICS Applications due: 3/15/74 Bachelor's by inst. 1107 Charles A. Bryan, Chairman Bachelor's by dept, 15 Teaching Fellowship (1) 3000-3600 9-12 Master's by dept, 6 Teaching Assistantship (20) 2600-3000 9 * 5 Teaching Ph. D. (1971-1973 incl.) *Resident $72; nonresident $88,20 (based on 12 credit hours). A&NT 1, A&FA 1, CS 2. Total: 4

NEBRASKA Kearney State College, Kearney 68847 DEPARTMENT OF MATHEMATICS, STATISTICS AND COMPUTER SCIENCE Applications due: 3/1/74 Bachelor's by inst, 1045 L. M. Larsen, Head Bachelor's by dept, 88 Master's by dept, 6 Teaching Assistantship (2) 2000-2500 9 5-6 Teaching

University of Nebraska, Lincoln 68508 DEPARTMENT OF MATHEMATICS AND STATISTICS Applications due: 3/1/74 Bachelor's by inst, 3200 Loren N. Argabright, Chairman Bachelor's by dept, 50 Master's by dept, Fellowship (4) 2700-3600 9-12 20 Teaching Assistantship (45) 3200-3800 9 18/cr. hr. 4-6 Teaching Ph, D. (1971-1973 incl.) A&NT 5, G&T 2, L 1, A&FA 5, Total: 13

Ph. D. in Mathematical Sciences at the UNIVERSITY OF MONTANA A program for the advanced training of college mathematics teachers and other mathematical "generalists". Emphasizing 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. 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 Note: This program has been developed with the aid of a grant from the Advanced Training Projects, NSF Division of Graduate Education. A number of assistantships are available under terms of the grant. A lew assistantships are still open lor winter and spring quarter 1974.

400 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 If not Included houn typo Academic year (with number anticipated 1974-1975) In dollars months In stipend ( dollan) per week of service 1972-1973

DEPARTMENT OF COMPUTER SCIENCE Applications due: 4/1/74 Bachelor's by dept. 35 George Nagy, Chairman Master's by dept. 6 Teaching Assistantship (10) 3000-3200 9 600/9 mo. 15 Teaching Research Assistantship (8) 3000 9 600/9 mo. 15 Research Scholarship (2) 200 9

University of Nebraska at Omaha 68101 DEPARTMENT OF MATHEMATICS Applications due: 4/1/74 Bachelor• s by inst. 1500 Margaret Geesaman, Acting Head Bachelor's by dept. 25 Master's by dept. 4 Teaching Assistantship (4) 2520 9 18/cr. hr. 20

NEVADA University ofNevada,Las Vegas 89154 DEPARTMENT OF MATHEMATICS Applications due: 4/15/74 Bachelor• s by inst. 483 Sadanand Verma, Chairman Bachelor's by dept. 7 Master• s by dept. 2 Teaching Assistantship (10) 2650-2850 9 5-6 Teaching or 12 Lab assistant, tutorials

University of Nevada, Reno 89507 DEPARTMENT OF MATHEMATICS Bachelor's by inst. 885 E. M. Beesley, Chairman Bachelor's by dept. 7 Master• s by dept. 1 Teaching Assistantship (4) 2650-3050 9 20 Teaching and prep aration

NEW HAMPSHIRE

Dartmouth College, Hanover 03755 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst. 739 Richard H. Crowell, Chairman Bachelor's by dept. 24 Master's by dept. 10 Fellowship (23) 2250-2565 9 4-10 Teaching Research Assistantship (2) 2250-2565 9 4-10 Research Ph. D. (1971-1973 incl.) A&NT 5, G&T 4, L 2, A&FA 4, P&S 4, other 2. Total: 21

University of New Hampshire, Durham 03824 DEPARTMENT OF MATHEMATICS Applications due: 2/15/74 Bachelor's by inst. 1124 M. Evans Munroe, Chairman Bachelor's by dept. 53 Master• s by dept. 21 Fellowship (2) 3500 12 Teaching Assistantship (8) 2800 9 6 Teaching Ph. D. (1971-1973 incl.) Tuition (3) 9 A&NT 3, G&T 1, L 2, AM 1. Total: 7

111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 i UNIVERSITY OF NEBRASKA-LINCOLN i 5 The Department of Mathematics and Statistics offers programs leading to the Ph.D., Master's, and 5 ~=;= Master of Arts in Teaching degrees. Areas of specialization for the Ph.D. include algebra, analysis, 5_5_= differential equations, and applied mathematics, logic, number theory, statistics, and topology. The = department is particularly strong in the areas of functional analysis, differential equations, and ring = i theory. Numerous graduate courses and seminars are offered, ranging from introductory to research level. 5 5 Approximately 15-20 new teaching assistantships, as well as a few fellowships, will be available i i for the coming academic year. The stipends for teaching assistantships range from $3200 to $3800, 5 5 and out-of-state tuition is waived. 5 5 For further information and application forms, write to the !!§ !§ Graduate Comniittee-Department of Mathematics and Statistics !!§ i UNIVERSITY OF NEBRASKA-LINCOLN i !!§ Lincoln, Nebraska 68508 !!§ 111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111

401 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of flnancial anistance amount 9 or 12 if nat induded hours typo Academic year (with number antidpated 1974-1975) in dollars months In stipend ( doUars) per WHk of service 1972-1973

NEW JERSEY Fairleigh Dickinson University, Madison 07940 DEPARTMENT OF MATHEMATICS AND PHYSICS Applications due: 3/1/74 Bachelor's by inst. 647 H. A. Elkholy, Chairman Bachelor's by dept. 9 Master• s by dept. 2 Teaching Fellowship (3) 2750 9 1350 6 Teaching

Fairleigh Dickinson University, Teaneck 07666 DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE Applications due: 3/1/74 Bachelor's by inst. 974 Richard Bronson, Chairman Bachelor's by dept. 12 Master's by dept. 15 Teaching Fellowship (10) 2750-3750 9 20 Teaching, Research Princeton University, Princeton 08540 DEPARTMENT OF MATHEMATICS Applications due: 1/15/74 Bachelor's by inst. 931 Joseph J. Kohn, Chairman Bachelor's by dept. 25 Fellowship (30) 1700-5400 9-12 Master's by dept. 14 Teaching Assistantship (10) * 3200-3800 10 20 Ph. D. (1971-1973 incl.) Research Assistantship (12)* 2300-2700 10 20 A&NT 12, G&T 19, L 2, Scholarship (2) 1800 10 A&FA 24, P&S 1, AM 1, Other 1. Total: 60 *Assistants are 1/2 teaching and 1/2 researh. DEPARTMENT OF STATISTICS Applications due: 1/15/74 Bachelor's by inst. 1000 G. S. Watson, Chairman Bachelor's by dept. 3 Master's by dept. 5 Fellowship (4) 2700-3600 9 and 12 Teaching Fellowship (3) 2300-2700 10 15-20 Grading Ph. D. (1971-1973 incl.) Teaching Assistantship (3) 3200-3800 10 6 Teaching P&S 10, CS 5. Total: 15 Research Assistantship (8) 2300-2700 10 15-20 Computing ------RUTGERS UNIVERSITY The State University of New Jersey Graduate Study in Mathematics toward the M.S. or Ph.D. degree FIELDS: Algebra (group theory, ring theory, category theory, commutative algebra, and non associative algebra); Analysis (real analysis, complex analysis, differential equations, flmc tional analysis, nonlinear functional analysis. numerical analysis, and linear and nonlinear programming); Geometry (algebraic geometry, differential geometry, and Lie groups); Logic I (axiomatic set theory, model theory, and recursive functions); Topology (point-set topology, I algebraic topology, and differential topology). A new graduate program in Applied Mathematics includes the areas of control and systems theory, economics, hydrodynamics, mathematical biology, mathematical physics, numerical analysis, psychology, and social and environmental science. FACIIJTIES: The mathematics library contains about 18,000 volumes and receives approximately 300 journals. This collection is housed in the new Mathematical Sciences building. Every graduate student is assigned an individual desk in a graduate student office. The department sponsors more than 200 seminars each year. The University has an IBM 360/67 computer; a number of terminals are available for time-sharing use. I FINANCIAL AID: Government-sponsored fellowships and numerous research and teaching assistant ships are available; each applicant for an assistantship will also be considered for these other awards. Apply by March 1, 1974. APPLICATION FORMS: Write to Graduate Admissions Office RUTGERS UNIVERSITY New Brunswick, New Jersey 08903 ------

402 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial a11lstance amount 9 or 12 if not included hours type Aca.mlc year (with number antlcipatecl1974-1975) in dollars months In stipend (dollars) per WHk of service 1972-1973

Rutgers University, New Brunswick 08903 DEPARTMENT OF APPLIED AND MATHEMATICAL STATISTICS Applications due: 3/1/74 Bachelor's by inst. 4904 Joseph I. Naus, Acting Director Bachelor's by dept. 4 Master• s by dept. 24 Teaching Assistantship (7) 3500 9 420/sem. 15 Research Assistantship (4) 3500-4025 9-12 420/sem. 15 Ph. D. (1971-1973 incl.) Trameeship (1) 3000 12 P&S 6. Total: 6

Seton Hall University, South Orange 07079 DEPARTMENT OF MATHEMATICS Applications due: 3/15/74 Bachelor's by inst. 1167 Charles H. Franke, Chairman Bachelor's by dept. 23 Master's by dept. 5 Teaching Assistantship (9) 2200 9 6 Teaching Scholarship (2)

Stevens Institute of Technology, Hoboken 07030 DEPARTMENT OF MATHEMATICS Applications due: 2/15/74 Bachelor's by inst. 270 Roger S. Pinkham, Head Bachelor's by dept. 15 Master's by dept. 30 Fellowship (3) 2400-3000 12 Teaching Assistantship (9) 2800-3100 9 Ph. D. (1971-1973 incl.) A&NT 1, L 5, A&FA 5, P&S 3, CS 4, Other 1. Total: 19 Trenton State College, Trenton 08625 DEPARTMENT OF MATHEMATICS Applications due: 5/1/74 Bachelor's by inst. 1366 William Hausdoerffer, Chairman Bachelor's by dept. 37 Research Assistantship (1 or 2) 2040 9 12 Grading, Master's by dept. 14 Tutoring

NEW MEXICO New Mexico Institute of Mining and Technology, Socorro 87801 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst. 123 R. W. Ball, Chairman Bachelor's by dept. 23 Teaching Assistantship (5) 2600-2750 9 110. 25 5-6 Teaching Master• s by dept. 2

New Mexico State Univeraity, Las Cruces 88003 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 3/15/74 Bachelor's by inst. 1395 JohnD. DePree, Chairman Bachelor's by dept. 18 Master's by dept. 8 Fellowship (3) 2500-3000 9 Teaching Assistantship (23) 2500-3000 9 20 Teaching Ph. D. (1971-1973 incl.) A&NT 10, G&T 2, L 1, A&FA 7, P&S 2. Total: 22

DEPARTMENT OF COMPUTER SCIENCE Applications due: 4/1/74 Bachelor's by inst. 1395 Richard H. stark, Head Bachelor's by dept. 1 Teaching Assistantship (4) 2500* 9 200 20 Master's by dept. 8 *$100 increase has been applied for.

University of New Mexico, Albuquerque 87106 DEPARTMENT OF MATHEMATICS AND STATISTICS Applications due: 2/15/74 Bachelor's by inst. 1986 L. H. Koopmans, Chairman Bachelor's by dept. 36 by Teaching Assistantship (13) 2900 9 20 Teaching Master's dept. 19 Research Assistantship (2) 3100 9 20 Research Ph. D. (1971-1973 incl. ) Graduate Assistantship (12) 2600 9 20 Tutoring, 'A&NT 6, A&FA 9, P&S 6, grading CS 5, AM 1. Total: 27

403 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 If not indudecl hours type Academic year (with number anticipated 1974-1975) in dollan months In stipend ( dollan) per week of service 1972-1973

NEW YORK Adelphi University, Garden City 11530 DEPARTMENT OF MATHEMATICS Applications due: Open Bachelor's by inst. 1043 M. Yanowitch, Chairman Bachelor's by dept. 23 Teaching Assistantship (11) 2400-3710 9 5-6 Teaching Master's by dept. 36 Research Assistantship (2) 2837-3056 9 20 Program- Ph. D. (1971-1973 incl.) ming A&NT 5, A&FA 1, CS 4, Scholarship (17) AM 4. Total: 14

City University of New York, Brooklyn College, Brooklyn 11210 DEPARTMENT OF MATHEMATICS Applications due: 4/1/74 Bachelor's by inst. 3379 Lester L. Gavurin, Chairman Bachelor's by dept. 171 Teaching Assistantship (2) 6350-7675 9 6 Teaching Master• s by dept. 5

City University of New York, City College, New York 10031 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst, 1460 Jonah Mann, Chairman Bachelor's by dept. 137 Teaching Assistantship (12) 2640-3520 9 900 12-16 Master's by dept. 7 Nonteaching Graduate (1-2) 2500-3000 9 900 15

City University of New York, Graduate Center, New York 10036 DEPARTMENT OF MATHEMATICS Applications due: 2/74 Ph, D. (1971-1973 incl.) Louis Auslander, Executive Officer A&NT 2, G&T 7, L 2, Fellowship (6) 2400-2800 12 12 A&FA 4, P&S 1, CS 1, Teaching Assistantship (66) 6000 9-12 * 6-9 AM 3. Total: 20 Research Assistantship (5) 3200-3600 9-12 * Guided re search *$45/cr, hr. to a maximum of $450/sem. ·-·-·-·-·-·-·-·-·-·-·-·-·-·-·-· 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 departmental library. The student body is small enough to facilitate close contact with the stall. Currently, the stall consists of Louis Auslander, Executive Officer; MichelL. Balinski, Gilbert Baumslag, Harvey Cohn, Eldon Dyer, Joan Dyer, Edgar A. Feldman, Alex Heller, Alan J. Holfman, Richard E. Isaac, Herve Jacquet, Stanley Kaplan, Linda Keen, Joseph Lewittes, Edwin E. Moise, Martin Moskowitz, Burton Randol, Harry E. Rauch, Theodore J. Rivlin, Richard Sacksteder, Raymond Smullyan, Jonathan Sondow, Alphonse T. V81!Q.uez, H. Peyton Young. For a description of courses currently olfered 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 ·-·-·-·-·-·-·-·-·-·-·-·-·-·-·-· 404 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not included hours type Academic year {with number anticipated 1974 .. 1975) in dollars months in stipend ( dollan) per week of service 1977-1973

City University of New York, Hunter College, New York 10021 DEPARTMENT OF MATHEMATICS Applications due : * Bachelor's by inst. 1781 Barry Cherkas, Chairman Bachelor's by dept. 65 Master's by dept. 17 Teaching Fellowship (3) 6350-7450 9 45/hr. 6-8 Teaching Teaching Assistantship (15) 3840-4560 9 45/hr. 6-7 Teaching *Fall 1974: 4/1/74; Spring 1975: 11/1/74.

City University of New York, Lehman College, Bronx 10468 DEPARTMENT OF MATHEMATICS Applications due: 4/1/74 Bachelor's by inst. 2000 John C. Mineka, Chairman Bachelor's by dept. 100 Master's by 19 Teaching Fellowship (4) 6350 9 45/cr. hr. 8 Teaching dept. Teaching Assistantship (8) 2640-5940 9 45/cr, hr. 4-9 Teaching

City University of New York, Queens College, Flushing 11367 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst. 1900 Joseph Hershenov, Chairman Bachelor's by dept, 80 Teaching Assistantship (4) 1900-6350 9 45/cr. 3-8 Teaching Master's by dept. 20

Columbia University, New York 10027 DEPARTMENT OF MATHEMATICS Applications due: 1/7/74 Bachelor's by inst. 1287 Lipman Bers, Chairman Bachelor's by dept. 31 12 Fellowship* 2700 9 20 Teaching** Master's by dept. *All students recieve fellowships. Ph. D. (1971-1973 incl.) **Four semesters. A&NT 7, G&T 10, A&FA 14. Total: 31 DEPARTMENT OF MATHEMATICAL STATISTICS Applications due: Open Bachelor's by dept. 2 David 0. Siegmund, Chairman Master's by dept. 6 Fellowship (15) 275/mo. 9-12 * Ph, D. (1971-1973 incl.) Research Assistantship (5) 275/mo. 9-12 P&S 15. Total: 15 *Up to 10 hrs. teaching required of all students in 2nd and 3rd years. DEPARTMENT OF ELECTRICAL ENGINEERING AND COMPUTER SCIENCE Applications due: 1/1/74 Bachelor's by inst. 1715 Thomas E. stern, Chairman Bachelor's by dept. 33 Fellowship (7) 2500 9 * Master's by dept, 48 Teaching Assistantship (13) 2000-2300 9 ** 20 Recitation Ph. D. (1971-1973 incl.) sections, CS 10. Total: 10 Lab, Grad- ing Research Assistantship (6) 250-300/mo. 12 1590/term 20 Research Scholarship (9) 3278 9 Readers (2) 100-300/term *** # Graders 100-300/term *Fellowship includes a maximum of $3800 tuition. **Assistantship includes tuition for a maximum of 3 courses at $106 per point. Courses range in credit from 2 to 4 1/2 points. ***Includes $1590 tuition per term. #Reading and grading written course work; hours depend on course,

Cornell University, Ithaca 14850 DEPARTMENT OF MATHEMATICS Applications due: 2/1/74 Bachelor's by inst. 2568 0. S.Rothaus, Chairman Bachelor's by dept. 45 Fellowship (8) 2000-3000 9 Master's by dept. 17 Teaching Assistantship (60) 2700-2800 9 15 Teaching, Ph. D. (1971-1973 incl.) grading A&NT 10, G&T 15, L 2, Research Assistantship (5) 2400 9 A&FA 14, P&S 1, AM 1, other 1. Total: 44 CENTER FOR APPLIED MATHEMATICS Applications due: 2/15/74 Bachelor's by inst. 2673 William F. Lucas, Director Master's by dept, 4 Fellowship (8) 2000-3000 9 Ph, D. (1971-1973 incl.) Teaching Assistantship (14) 2700-2850 9 15 AM 16. Total: 16 Research Assistantship (4) 2400-2600 9 15

405 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of flnancial ouistance amount 9 or 12 if not included houn type Academic year (with number anticipated 1974-1975) in dollars months in stipend (dollars) per week of service 1972·1973

DEPARTMENT OF COMPUTER SCIENCE Applications due: 2/15/74 Master's by dept. 1: Gerard Salton, Chairman Ph. D. (1971-1973 incl.) Fellowship (5) 2000-3000 9 3180 CS 21. Total: 21 Teaching Assistantship (23) 2700-3000 9 3180 15 Research Assistantship (8*) 2600 9 3180 15 other (2-4) 3000-3600 9 3180 *This is dependent on grants that have not been awarded yet. The number could be higher.

DEPARTMENT OF OPERATIONS RESEARCH Applications due: 2/1/74 Bachelor's by dept. 44 George L. Nemha:user, Acting Chairman Master's by dept. 22 Fellowship (3) Ph, D. (1971-1973 incl.) Teaching Assistantship (14) 2700-2850 9 3180 15 P"&S'5, Other 12. Total: 17 Research Assistantship (9) 5780 9 15

Fordham University, New York 10458 DEPARTMENT OF MATHEMATICS Applications due: 2/1/74 Bachelor's by inst. 1473 Hing Tong, Chairman Bachelor's by dept. 23 Fellowship (1) 2300-3000 9 Master• s by dept. 5 Teaching Fellowship (4) 2300-3000 9 3 Teaching Ph. D. (1971-1973 incl.) Teaching Assistantship (7) 2300-3000 9 8 Miscel- A&NT 1. Total: 1 laneous Scholarship (tuition) (10) 9

Hofstra University, Hempstead 11550 DEPARTMENT OF MATHEMATICS Applications due: 2/15/74 Bachelor• s by inst, 1091 Robert J. Bumcrot, Chairman Bachelor's by dept. 39 Fellowship (3) 2500-2650 9 77/cr. 3 Various Master's by dept. 6 Teaching Fellowship (4) 675-3150 41/2or9 77/cr. 3-7 Teaching

Long Island University, C. W. Post College, Greenvale 11548 DEPARTMENT OF MATHEMATICS Bachelor's by inst. 1373 John c. Stevenson, Chairman Bachelor's by dept. 14 Teaching Assistantship (1) 3440 9 15 Master's by dept. 8

New York University, New York 10012 DEPARTMENT OF COMPUTER SCIENCE Applications due: 1/1/74 Bachelor's by dept. 10 Jacob T. Schwartz, Chairman Master's by dept. 9 Research Assistantship (14) 3400 12 Research Ph. D. (1971-1973 incl.) CS 3. Total: 3 New York University-Courant Institute ot·Mathematieal Sciences, New York 10012 DEPARTMENT OF MATHEMATICS Applications due:1/15/74 Bachelor• s by dept. 33 Peter D. Lax, Director Master• s by dept. 77 Fellowship (29) 3400-3800 12 Ph. D. (1971-1973 incl.) Research Assistantship (19) 3400-3800 12 A&NT 19, G&T 1, L 2, A&FA 15, P&S 4, CS 3, AM 14, Other 1. Total: 59

POLYTECHNIC INSTITUTE OF BROOKLYN --Graduate Study In Mathematics-- LOCATION: Brooklyn Campus, and long Island Center at Farmingdale, long Island, New York. DEGREES: M.S. and Ph.D. FIELDS: Applied Mathematics, Algebra, Analysis, Probability, Statistics, etc. AVAILABLE MINOR OPTIONS: Applied Mechanics, Aerospace Engineering, Electrophysics, Com· munication Theory, Automatic Control, Network Theory, Physics, etc. FELLOWSHIPS: Teaching, Research. Write for information to: Dean of Graduate School • • • or • • • Department of Mathematics Polytechnic Institute of Brooklyn 333 Jay Street Brooklyn, New York 11201

406 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not includ•d houn typo Aca.micyear (with numbor anticipated 1974-1975) in dollan months in stipend ( cloHars) per week of service 1972-1973

Polytechnic Institute of New York, Brooklyn 11201 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst. 380 Harry Hochstadt, Head Bachelor's by dept. 28 Master's by dept. 8 Teaching Fellowship (12) 2000-2400 9 4 Teaching Ph, D. (1971-1973 incl.) if&N'T 4, A&FA 11, P&S 2, AM 1. Total: 18 Rensselaer Polytechnic Institute, Troy 12181 DEPARTMENT OF MATHEMATICS Applications due: 2/1/74 Bachelor's by inst. 884 Richard C. DiPrima, Chairman Bachelor's by dept. 69 Fellowship (2-4) 2200-3000 9 Master's by dept. 78 Teaching Assistantship (30) 2500-3600 9 15-20 Teaching or Ph. D. (1971-1973 incl.) Grading A&NT 2, A&FA 7, P&S 3, Research Assistantship (3-5) 2500-3600 9 15-20 Research CS 8, AM 11, other 5, Scholarship (5-10) * Total: 36 *Partial waiver of tuition based on need. DEPARTMENT OF OPERATIONS RESEARCH AND STATISTICS Applications due: 2/15/'74 Bachelor's by inst. 1502 John W. Wilkinson, Chairman Master's by dept. 22 Fellowship (1) 2500-3000 9 or 12 2490 Ph. D. (1971-19'73 incl.) Teaching Assistantship (7) 2500-3600 9 1992 20 P&S 8. Total: 8 Research Assistantship (5) 2500-3600 9 1992 20 Scholarship (10) 1245-2490

St. John's University, Jamaica 11439 DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE Applications due: 3/15/74 Bachelor's by inst, 1685 Edward J. Miranda, Chairman Bachelor's by dept. 52 12 Assistantships (11) 2400-2600 9 15 T. V. Teach¥aster' s by dept. ing, Grad- ing, Tutoring State University College at Brockport 14420 DEPARTMENT OF MATHEMATICS Applications due: 3/15/74 Bachelor's by inst, 1826 Edward 0. Stephany, Chairman Bachelor's by dept. 8'7 Teaching Assistantship (3) 2500 10 Master's by dept. 10

State University College at Buffalo 14222 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst, 1800 Richard A. Wiesen, Chairman Bachelor's by dept. 50 Teaching Assistantship (2-3) 2500 9 3-6 Teaching Master's by dept. 15

ST. JOHN'S UNIVERSITY :\n urban university in a suburban setting ... within easy travel distance of some of the world's richest cultural and research resources. Tht> :\lathematics faculty is actively engaged in research relating to fluid dynamics, diffraction theory, graph th<'ory. statistics, operations research, ordinary differential equations, control theory, functional anal~·sis, point set topology. elastieit~·. and computer sciencP. . Gradual!' work leading to the Master of Arts is offered in hoth pure and applied mathematics. Approximately twelve graduate assistantships will be available for the academic. year 1974-75. lnt!'rested students are requested to write: Edward J. Miranda, Chairman Department of Mathematics-St. John's University Jamaica, New York 11439 : 1 ..1111'11 ... 11 ... .,.. I I I ,,.,......

407 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not included hours type Academic year (with number anticipated 1974-1975) in dollars moftths in stipend (dollars) per week of service 1972·1973

State University College at Fredonia 14063 DEPARTMENT OF MATHEMATICS Applications due: 4/15/74 Bachelor's by inst. 857 Frank R. Olson, Chairman Bachelor's by dept. 30 Teaching Assistantship (4) 2200 9 4 Teaching Master's by dept. 14

State University College at New Paltz 12561 DEPARTMENT OF MATHEMATICS Applications due: 3/15/74 Bachelor's by inst. 1218 Salvatore Anastasio, Chairman Bachelor's by dept. 68 Master's by dept. 2 Teaching Assistantship (4) 2500-3000 9 3 Teaching

State University College at Oswego 13126 DEPARTMENT OF MATHEMATICS Bachelor's by inst. 1687 John Walcott, Acting Chairman Bachelor's by dept, 90 Master's by dept, 3 Teaching Assistantship (7) 2800 9 10-20 Teaching, grading

State University of New York at Albany 12222 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst. 2285 Hajimu Ogawa, Chairman Bachelor's by dept. 221 Teaching Assistantship (20) 2800-3000 9 6 Teaching Master's by dept. 3 Ph. D. (1971-1973 incl.) G&T 1, A&FA 4. Total: 5

!!!111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 ~ STATE UNIVERSITY OF NEW YORK ~

Nominations and applications are invited for the position of Chairman of the Department of Mathematics. Nominations, applications, and inquiries should be addressed to: Professor J. W. Jenkins Department of Mathematics STATE UNIVERSITY OF NEW YORK AT ALBANY 1400 Washington Avenue ~ An equal opportunity employer. Albany, New York 12222 § lllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllffi

CHAIRPERSON Computer Science State University of New York at Albany seeks chairperson for Computer Science Department. Applicant should have a record of outstanding research and scholarly achievement and ex perience and interests as a university level teacher. SUNY at Albany, a University Center, serves a full time enrollment of about 14,500 students, of whom about 31% are at the graduate or postgraduate level. The University is an equal opportunity employer. Nomina tions and resumes should be sent to Chairperson, Computer Science Search ComJTiittee RooJTI LCB-30H, SUNYA 5 1400 Washington Avenue Albany, New York 12222 5 ffillllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllffi

408 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not included hours type Academic year (with number anticipated 1974-1975) in dollars months in stipend (dollars} per week of service 1972-1973

State University of New York at Binghamton 13901 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 3/15/74 Bachelor's by inst. 1186 Louis McAuley, Chairman Bachelor's by dept. 34 Master's by dept. 16 Fellowship (3) 3600 12 Teaching Fellowship (6) 1000-3250 9 4 Assisting Ph. D. (1971-1973 incl.) Teaching Assistantship (13) 2750-3250 9 4 Teaching A&NT 1, G&T 6. Total: 7 Research Assistantship (1) 3500 9 4 Research Graduate Assistant (12) 2500-3250 9 4 Teaching

State University of New York at Buffalo, Amherst 14226 DEPARTMENT OF MATHEMATICS Applications due: 2/1/74 Bachelor's by inst. 3252 Nicholas D. Kazarinoff, Chairman Bachelor's by dept. 69 Master's Fellowship (unknown) 3000 9 by dept. 27 Teaching Assistantship (44) 3000-3500 9 3-4 Teaching, Ph. D. (1971-1973 incl.) or grading A&NT 4, G&T 3, L 2, A&FA 3, AM 1. Total: 13

DEPARTMENT OF COMPUTER SCIENCE, STATISTICAL SCIENCE DIVISION Applications due: 2/15/74 Bachelor's by inst. 3158 Emanuel Parzen, Director Teaching Assistantship (7) 3000-4000 9 Research Assistantship (4) 3000-4000 9

DEPARTMENT OF COMPUTER SCIENCE Applications due: 2/15/74 Bachelor's by inst. 3158 Anthony Ralston, Chairman Bachelor's by dept. 7 Master's by dept. 16 Fellowship (varies) 3000-4000 12 Teaching Assistantship (8) 3000-3400 9 16 Assisting Ph. D. (1971-1973 incl.) ReseiU'ch Assistantship (10) 3000-3400 9 16 Research CS 5. Total: 5 Graduate Assistant (8) 3000-3400 9 16 Consultant in Comput ing Center

111111111111111111111111 STATE UNIVERSITY OF NEW YORK AT BINGHAMTON 111111111111111111111 ~ The Mathematics Department of the State University of New York at Binghamton offers § § graduate work leading to MAT/MST, M.A. and Ph.D. degrees in mathematics. Areas of speciali- § § zation for doctoral research include algebra (in particular group theory), differential equations, § § functional analysis, graph theory, probability, statistics and topology. The department is especially § § strong in certain areas of topology such as mappings, geometric topology, PL topology, decompo- § § sition and fiber spaces. § § Numerous seminars both on the research and instructional level, together with small classes, § § make it possible to offer students an unusual amount of attention from an active faculty. All § § graduate students will gain experience in teaching through assistantships. For a more detailed § § account of our graduate programs, research interests of our faculty, course selections, examination § 5 procedures, etc. write to the § § Graduate Committee, Dept. of Mathematics § § SUNY at Binghamton § iii11111111111111111111111111111111111111111111111111111111111111111111 Binghamton, New York 1390llllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllliii IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIISTATE UNIVERSITY OF NEW YORK AT BUFFALOIIIIIIIIIIIIIIIIIIIIIIIII

Graduate assistantships are available in various amounts (this year from $3000 to $3500) with remission of tuition. Duties may include lecturing, conducting recitation sections or grading papers. Also, SUNY at Buffalo offers graduate fellowships at $3000 per nine months, tenable for one year. Last year two 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, algebraic geometry, complex analysis, differential equa tions, 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: i!§ § Director of Graduate Studies-Department of Mathematics § i!§ STATE l'""IYERSITY OF NEW YORK AT BUFFALO § iiilllllllllllllllllllllllllllllllllllllllllllllllllllllllllll4246 Ridge Lea Road-Amherst. New York 14226 llllllllllllllllllllllllllllllllllllllllllllllllllllllliii

409 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not included hours type Academic year (with number anticipated 1974-1975) in dollars months in stipend (dollars) per week of service 1972-1973

State University of New York at Stony Brook 11790

DEPARTMENT OF MATHEMATICS* Ph. D. (1971-1973 incl.) R. G. Douglas, Chairman Total: 12 Fellow ship (1) 3000 9 5-10** Teaching Fellowship (30) 2000-3000 9 5-10** Research Assistantship (35) 2000-3000 9 5-10** *All figures are approximate. **Required of all students regardless of support.

DEPARTMENT OF APPLIED MATHEMATICS AND STATISTICS Applications due: 3/1/74 Bachelor's by inst. 1000 A. H. Zemanian, Chairman Bachelor's by dept. 25 Teaching Assistantship (30) 1400-3000 9 0-750 10-20 Master's by dept. 43 Research Assistantship (25) 1400-3000 9 0-750 10-20 Ph. D. (1971-1973 incl.) Scholarship (tuition) (5) 1200-1500 1200-1500 AM 15. Total: 15 Work & Study Award (2) 4400 9 600-750 20

DEPARTMENT OF COMPUTER SCIENCE Applications due: * Master's by dept. 14 Richard B. Kieburtz, Chairman Ph. D. (1971-1973 incl.) Teaching Assistantship (25) 1400-3000 9 10-20 Teaching CS 4. Total: 4 Research Assistantship (5) 2800-3000 9 20 Research *Spring: 12/1/73; Fall: 3/1/74.

Syracuse University, Syracuse 13210

DEPARTMENT OF MATHEMATICS Applications due: 4/15/74 Master's by dept. 14 Erik Hemmingsen, Chairman Ph. D. (1971-1973 incl.) Fellowship (1) 4000 12 A&NT 9, G&T 7, A&FA 15. Teaching Assistantship (25) 2677-3150 9 36 6 Teaching Total: 31

State University of New York at BuHalo The Department of Mathematics will award George William Hill and Emmy Noether Research Instruc torships 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, 1974. At least one and not more than two Research Instructorships will be awarded for 1974-1976 with each appointment being for two years. The twelve-month stipend, beginning September 1974, is $16,080 including generous staff benefits. Teaching load will total two one-semester courses during the twelve-month period. Upon expiration of the two-year appointment, priority consideration for a three-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 three mathematicians to send letters of recommendation. Application forms are available upon request. Applications and supporting letters should be sent to Professor N. D. KazarinoH, Chairman Department of Mathematics SUNY at Buffalo 4246 Ridge Lea Road Amherst, New York 14226 so as to arrive by January 22, 1974. Appointments will be made early in February. SUNY at Buffalo is an equal opportunity employer.

410 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial auiltance amount 9 or 12 if not lncludecl houn type Aca•micyear (with numHr anlidpa...,1974-1975) in clollars months in olipond (clollan) par week of service 1972-1973

SYSTEl'IIS AND INFORMATION SCIENCE PROGRAM Applications due: 3/1/74 Bachelor's by inst. 2933 Warren L. Semon, Director Bachelor's by dept. * Fellowship (2) 2000-4000 ~ (1971-1973 incl.) Teaching Assistantship (5) 2671-2677 9 20 CS 21. Total: 21 Research Assistantship (5) 2671-2677 9 20 *New program.

UDiversity of Rochester, Rochester 14627 DEPARTMENT OF MATHEMATICS Applications due: 2/15/74 Bachelor's by inst. 803 Gail S. Young, Chairman Bachelor's by dept, 37 Master's by dept, 15 Teaching Assistantship (30) 180o-3200 9 4 Teaching Tuition Scholarship (10) 9 Ph, D. (1971-1973 incl.) A&NT 9, G&T 7, A&FA 9, AM 1. Total: 26

DEPARTMENT OF STATISTICS Applications due: 2/15/74 Bachelor's by dept, 1 W. J, Hall, Chairman Master's by dept. 9 Fellowship (2) 2700-3600 9 Teaching Assistantship (17) 2000-2700 9 12-15 Teaching, grading, consulting Research Assistantship (2) 2700-3600 9 12-15 Teaching, grading, consulting Scholarship (1) 3700 9 12-15 Teaching, grading, consulting Yeshiva University, New York 10033 Applications due: 2/15/74 Master's by dept. 6 Charles A. Berger, Acting Chairman Ph, D. (1971-1973 incl.) Fellowship (1) 2400-3900 12 * A&NT 1, L 1, A&FA 14, Teaching Assistantship (6) 1800-3200 9-12 3 Teaching P&S 1. Total: 17 Research Assistantship (6) 1800-3200 9-12 * Scholarship (12) 9 ** *To be determined, **Minimal.

NORTII CAROLINA Appalachian State University, Boone 28607 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 3/1/74 Bachelor's by inst, 1200 Mike Perry, Acting Chairman Bachelor's by dept, 50 10 Teaching Assistantship (4) 1800-3000 9 20 Master's by dept. Research Assistantship (1) 1800-3000 9

Duke UDiversity, Durham 27706 DEPARTMENT OF MATHEMATICS Bachelor's by inst. 1135 Seth L. Warner, Chairman Bachelor's by dept, 50 Master's by dept. 10 Fellowship (3) 2700-3500 12 Teaching Assistantship (13) 2100-4300 9 468-1872 9-13 Teaching Ph, D. (1971-1973 incl. ) Scholarship (2) 1400-2300 9 o-900 A&NT 8, G&T 4, A&FA 4, P&S 3, CS 7. Total: 20

DEPARTMENT OF COMPUTER SCIENCE Applications due: 2/15/74 Master's by dept, 4 Donald Loveland, Chairman Fellowship (2) 4200-5000 9 2340 Teaching Assistantship (4) 4200 9 1872 10-12

Research Assistantship (4) 4200 9 1872 10-15

411 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial anlstanca amount 9 or 12 if not Included hours type Academic year (with numl>er anticipated 1974-1975) in dollars months in stipend (dollars) per weelc of service 1972-1973

East Carolina University, Greenville 27834 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst. 1835 Tullio J. Pignani, Chairman Bachelor's by dept. 38 Master's by dept, Teaching Fellowship (13) 2000 9 5 Teaching 4 Computer & Office Institutional * Research (4) 2000 9 * 15 Assist in Computer Lab or OIR *$438/yr. (in-state); $2, 004/yr. (out-of-state); $1, 155/yr. (special talent/tuition, out-of-state).

North Carolina State University, Raleigh 27607 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst. 2240 N. J. Rose, Head Bachelor's by dept, 54 Teaching Assistant ship (55) 2067-3800 9 475 4-10 Teaching Master's by dept. 15 Research Assistantship (1) 3600-3800 9 475 Ph. D. (1971-1973 incl.) A&NT 7, G&T 1, A&FA 6, P&S 1, AM 4. Total: 19

DEPARTMENT OF STATJSTICS Applications due: 3/l./74 Bachelor's by inst, 2242 D. D. Mason, Head Bachelor's by dept. 6 Master's by dept. 12 Teaching Assistantship (9) 2900-3600 9 * 0-20 Teaching Research Assistantship (2) 3300-4200 12 * 0-20 Research Ph. D. (1971-1973 incl. ) P&S 35, Total: 35 *See catalogue.

University of North Carolina, Chapel Hill27514 DEPARTMENT OF MATHEMATICS Applications due: 2/1/74 Bachelor's by inst. 2895 Fred B, Wright, Chairman Bachelor's by dept. 25 Master's by dept. 10 Teaching Fellowship (2) 4200 9 398/1, 973* Teaching Assistantship (27) 3660-4580 9 398/1,973 Ph. D. (1971-1973 incl.) A &NT 3, G&T 2, A&FA 6, *In-state/out-of-state. Normally T.A. receives in-state rate but this is not guaranteed, other 1, Total: 12

DEPARTMENT OF BIOSTATJSTICS Applications due: 3/15/74 Bachelor's by inst, 4849 James E. Grizzle, Head Master's by dept, 13 Fellowship (19)* 2400-2800** 12 Ph, D, (1971-1973 incl.) Research Assistantship (6) 5400 12 20 P&S 21, Total: 21 *All fellowships are for continuing students, **PlUs allowance of $500 per dependent, plus payment of tuition and fees.

DEPARTMENT OF COMPUTER SCIENCE Applications due: 2/1/74 Bachelor's by inst. 2895 Frederick P. Brooks, Jr., Chairman Master's by dept, 12 Teaching Assistantship (15) 3600 9 217.50* 20 Teaching Ph. D. (1971-1973 incl.) Research Assistantship (15) 3600 9 217,50* 20 Research CS 11, Total: 11 *Includes tuition and fees per semester.

CURRICULUM IN OPERATIONS RESEARCH AND SYSTEMS ANALYSIS Applications due: 3/1/74 Master's by dept. 11 John P. Evans, Chairman Ph. D. (1971-1973 incl.) Fellowship (2) 3000 9 1993 other 1. Total: 1 Teaching Fellowship {1) 3600 9 1993 3 Teaching Teaching Assistantship (3) 3600 9 1993 6 Teaching Research Assistantship (2) 3500 9 1993 3-5 Research University of North Carolina at Greensboro 27412 DEPARTMENT OF MATHEMATICS Applications due: 4/1/74 Bachelor's by inst. 1200 E. E. Posey, Head Bachelor's by dept. 60 Teaching Assistantship (19) 1600-3200 9 320 3-6 Teaching Master• s by dept. 14 Research Assistantship (3) 1200-2400 9 320 Varies Research

Wake Forest University, Winston-Salem 27109 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst, 572 Ivey c. Gentry, Chairman Bachelor's by dept, 30 Fellowship (4) 3400 9 2000 Master's by dept. 3 Teaching Assistantship (2) 4400-4600 9 2000 12 Scholarship (4) 2000 9 2000

412 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial auistance amaun! 9 or 12 If not indudecf houn typo Academic year (with numbor anfldpatod 1974-1975) in clallan mantht in stipond ( daUan) per wook of service 1972-1973

NORTH DAKOTA

North Dakota State University, Fargo 58102 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst. 1087 Robert F. Tidd, Chairman Bachelor• s by dept. 16 Teaching Assistantship (4) 2500 9 25/qtr. 20 Master's by dept 4

University of North Dakota, Grand Forks 58201 DEPARTMENT OF MATHEMATICS Applications due: 3/15/74 Master's by dept. 4 Ronald Bzoch, Chairman Teaching Assistantship (6) 2450 9 6 Teaching

OHIO Bowling Green State University, Bowling Green 43403 DEPARTMENT OF MATHEMATICS Applications due: 2/15/74 Bachelor's by inst. 3113 Wallace L. Terwilliger, Chairman Bachelor's by dept. 89 Fellowship (3) 1800-2400 9 Master's by dept, 31 Teaching Fellowship (10) 4000 9 50/qtr. 6 Teaching Assistantship (14) 2900 9 50/qtr. 6 Research Assistantship (3) 2000 9

COMPUTER SCIENCE DEPARTMENT Applications due: 2/15/74 Bachelor's by inst. 2500 David L. Fulton, Chairman Bachelor's by dept. 15 Teaching Assistantship (3) 2980 20 Master's by dept. 3 Research Assistantship (3) 2980 20

Case Western Rese"e University, Cleveland 44106 ND DEPARTMENT OF MATHEMATICS AND STATISTICS Applications due: 3/1/74 Bachelor's by inst. 1009 A, J. Lohwater, Chairman Bachelor's by dept. 17 Fellowship (5) 2300 9 Master's by dept. 4 Teaching Fellowship (15) 3000 9 3 or 4 Teaching Ph. D. (1971-1973 incl. ) Scholarship (3 or 4) Tuition A&NT 3, G&T 4, L 3, A&FA 6, P&S 14, CS 1, AM 4. Total: 35 DEPARTMENTS OF COMPUTER ENGINEERING AND OF COMPUTING AND INFORMATION SCIENCES Applications due: 3/15/74 Bachelor's by inst. 800 Edward L. Glaser, Chairman Bachelor's by dept. 25 Research Assistantship (26) 5500-5700 12 20 Master's by dept, 30 ~ (1971-1973 incl.) CS 17. Total: 17

DEPARTMENT OF BIOMETRY Applications due: 3/1/74 Master• s by dept. 1 H. B. Houser, Acting Director Research Assistantship (4) 275 9 1950 12 Research

Cleveland State University, Cleveland 44115 DEPARTMENT OF MATHEMATICS Applications due: 5/1/74 Bachelor's by inst. 1250 Robert R. Stoll, Chairman Bachelor's by dept, 53 Master• s by dept. 19 Teaching Assistantship (6) 2000-2500 9 20 Teaching, grad~g

John Carroll University, Cleveland 44118 DEPARTMENT OF MATHEMATICS Applications due: 2/28/74 Bachelor's by inst. 548 Leo J. Schneider, Chairman Bachelor's by dept. 20 Teaching Assistantship (3) 2000 9 20 Grading, Master's by dept, 6 Tutoring

413 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial auistance amount 9 or 12 If not included hours type Aca.mic year (with number anHclpated 1974-1975) in dollars months in stipend (dollars) per week of service 1972-1973

Kent State University, Kent 44242 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74* Bachelor• s by inst. 6481 Richard K. Brown, Chairman Bachelor's by dept. 123 Fellowship (3) 2400-2500 9 Master's by dept, 5 Teaching Fellowship (7) 3800-4200 9 98/qtr. 5 Teaching Ph. D. (1971-1973 incl. ) Teaching Assistantship (23) 2500-3000 9 98/qtr, 5 Teaching A&FA 2, CS 1. Total: 3 *Late applications are considered if funds are available.

Miami University, Oxford 45056 DEPARTMENT OF MATHEMATICS Applications due: 3/15/74 Bachelor's by inst, 2565 s. E. Bohn, Chairman Bachelor's by dept, 70 Master's by dept. 16 Teaching Assistantship (26) 2610 9 10-20 Teaching, Assisting Ohio State University, Columbus 43210

DEPARTMENT OF MATHEMATICS Applications due: 2/14/74 Bachelor's by inst, 7160 Arnold E. Ross, Chairman Bachelor's by dept, 77 Fellowship (10) 3000-3400 12 20 Master's by dept, 33 Teaching Assistantship (109) 2700-2925 9 20 Teaching Ph, D, (1971-1973 incl. ) Research Assistantship (1) 2700-2925 9 20 Research A&NT 13, G&T 6, A&FA 7, P&S 2, other 2. Total: 30 DEPARTMENT OF COMPUTER AND INFORMATION SCIENCE Applications due:* Bachelor's by inst. 7160 Marshall C. Yovits, Chairman Bachelor's by dept, 118 Master's by dept, 46 Fellowship (20) 2000-3600 9 or 12 Teaching Assistantship (45) 2700-3375 9 20 Teaching Ph. D. (1971-1973 incl.) Research Assistantship (20) 3300-4500 12 20 Research CS 14. Total: 14 Computer Center (3) 3300 12 20 Programming *Fellowships: 2/1/74; Assistantships: 4/15/74.

DEPARTMENT OF STATISTICS Applications.due: 2/15/74 Bachelor's by inst. 7160 D. Ransom ·Whitney, Chairman Bachelor's by dept. 7 Master's by dept, 4 Teaching Assistantship (24) 2700-3300 9 5 Ph, D. (1971-1973 incl.) P&S 14, Total: 14 Ohio University, Athens 45701 Applications due: 3/1/74 Bachelor's by inst. 3897 DEPARTMENT OF MATHEMATICS Bachelor's by dept. 39 Robert G. Helsel, Chairman Master's by dept. 36 Ph. D. (197'1-1973 incl.) Fellowship (22) 2800-4000 9 40/qtr. 5 Teaching A&NT 1, G&T 1. Total: 2 Scholarship (3/qtr.) 180-540 9 40/qtr.

University of Akron, Akron 44304 DEPARTMENT OF MATHEMATICS AND STATISTICS Applications due: 3/1/74 Bachelor• s by inst, 2051 William H. Beyer, Head Bachelor's by dept, 30 Master's by dept, Teaching Assistantship (16) 2500-2700 9 12-18 Teaching, 7 Assisting

University of Cincinnati, Cincinnati 45221 DEPARTMENT OF MATHEMATICS Applications due: 6/74 Bachelor's by inst, 3408 Edward P. Merkes, Head Bachelor's by dept, 39 Maater• s by dept, 31 Fellowship (10) 2000-4000 9 Teaching Assistantship (36) 2400-2800 9 6 Ph, D, (1971-1973 incl.) Scholarship (21) 12 A&NT 3, A&FA 7, CS 1, AM 4, Total: 15

University of Dayton, Dayton 45469 DEPARTMENT OF MATHEMATICS Applications due: 3/15/74 Bachelor's by inst, 1000 H. G. Mushenheim, Chairman Bachelor's by dept. 42 Master• s by dept. Teaching Assistantship (7) 2800 9 6 Teaching 1

414 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of flnanclal assistance amount 9 or 12 if not Included houn typo Academic year (with number anticipated 1974-1975) in dollars months In stipend (dollars) ~r week of service 1972-1973

University of Toledo, Toledo 43606 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Master's by dept. 4 Simmie Blakney, Chairman Ph. D. (1971-1973 incl.) Fellowship (1) 3000-3500 9 150 (fees) A&NT 1, G&T 1, A&FA 4. Teaching Assistantship (18) 2400-4000 9 150 (fees) 4-6 Total: 6 Scholarship (1) tuition only 9

Wright State University, Dayton 45431 DEPARTMENT OF MATHEMATICS Applications due: 7/1/74 Bachelor's by inst. 1200 Krishan K. GOrowara, Chairman Bachelor's by dept, 18 Master's by dept, 8 Teaching Assistantship (15) 3000-3100 9 5/cr, hr. 6 Teaching or 15 Laboratory, supplemental instruction Youngstown State University, Youngstown 44503 DEPARTMENT OF MATHEMATICS Applications due: 4/1/74 Bachelor's by inst. 2235 LukeN. Zaccaro, Chairman Bachelor's by dept. 39 Master's by dept. 6 Teaching Assistantship (6) 3200-3600 9 150 20

OKLAHOMA Oklahoma State University, Stillwater 7407 4 DEPARTMENT OF MATHEMATICS Applications due: 2/15/74* Bachelor's by inst, 3400 John Jewett, Head Bachelor's by dept, 60 Master's by dept. 10 Teaching Assistantship (60) 9 14/sem,hr. 5-6 Teaching *Later applications will be considered for any vacancies that remain, Ph.D. (1971-1973 incl.) A&NT 10, G&T 2, A&FA 15, P&S 2, Other 2. Total: 31 University of Oklahoma, Norman 73069 DEPARTMENT OF MATHEMATICS Applications due: * Bachelor's by inst. 2497 Gene Levy, Chairman Bachelor's by dept. 60 Master's by dept, 8 Teaching Assistantship (50) 2800-3400 9 14/cr, hr. 6 Teaching Ph, D. (1971-1973 incl.) *Preference given to applicants filing by February 15, 1974. A&NT 9, G&T 4, L 1, A&FA 5, CS 1, Other 5, Total: 25

University of Tulsa, Tulsa 74104 DIVISION OF MATHEMATICAL SCIENCES Applications due: 1/1/74 Bachelor's by inst. 400 Thomas W, Caims, Head Bachelor's by dept. 20 Teaching Assistant (3) 2500 9 Quiz sec Master's by dept. 12 tions Research Assistantship (1) 1500 9 Special assignment

OREGON Oregon State University, Corvallis 97331 DEPARTMENT OF MATHEMATICS Bachelor's by inst, 2714 James R. Brown, Chairman Bachelor's by dept, 59 Fellowship (2) 250 12 Master's by dept, 26 Teaching Assistantship (27) 2740-3175 9 127.50 4 Teaching Ph, D, (1971-1973 incl.) A&NT 8, G&T 3, A&FA 5, CS 2, AM 4. Total: 22

415 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not included hours type Academic year (with number anticipated 1974·1975) in dollars months in stipend (dollars) per week of service 1972-1973

DEPARTMENT OF COMPUTER SCIENCE Applications due: 3/15/74* Bachelor's by inst. 2714 Robert A. Short, Chairman Bachelor's by dept. 32 Master's by dept. 4 Teaching Assistantship (7) 2740-3175 9 40. 50/term 15 Teaching, assisting Ph. D. (1971-1973 incl.) CS 1 **· Total: 1 *Late applications considered. **Department of Computer Science became separate department in fall of 1972.

DEPARTMENT OF STATISTICS Applications due: 3/1/74 Bachelor's by inst. 2714 Lyle D. Calvin, Chairman Master's by dept. 10 Fellowship (2) 2600-3000 9 Ph. D. (1971-1973 incl.) Teaching Assistantship (8) 2760-3020 9 42* 12-15 P&S 10. Total: 10 Research Assistantship (5) 2700-4000 9-12 42 12-20 NTII Traineeship (4) 2400-2800 12 NIH Postdoctoral Traineeship (2) 6000-7000 12 *Fees per term.

Portland State University, Portland 97207 DEPARTMENT OF MATHEMATICS Applications due: 4/15/74 Bachelor's by inst. 1721 J. Richard Byrne, Head Bachelor• s by dept. 40 24 Teaching Assistantship (5) 2952-3060 9 150 15 Master's by dept.

University of Oregon, Eugene 97403 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst. 2473 Fred C. Andrews, Head Bachelor's by dept. 46 Teaching Assistantship (28) 2715-3500 9 44. 25/term 4_5 Master's by dept. 23 Ph. D. (1971-1973 incl.) A&NT 8, G&T 6, A&FA 9, P&S 4, CS 3. Total: 30

DEPARTMENT OF COMPUTER SCIENCE Applications due: 3/1/74 David Moursund, Head Teaching Fellowship (6-8) 2500-3400 9 44.25/qtr. 12-15

PENNSYLVANIA Bryn Mawr College, Bryn Mawr 19010 DEPARTMENT OF MATHEMATICS Applications due: 2/1/74 Bachelor's by inst. 189 John C. Oxtoby, Chairman Bachelor's by dept. 1 Fellow ship (1) 2000 9 Master's by dept. 1 Teaching Assistantship (2) 1700 9 1/3 time Ph. D. (1971-1973 incl.) Scholarship (1) 1550 9 A&FA 1. Total: 1 Tuition Scholarship (1) 2500 9

Bucknell University, Lewisburg 17837 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst. 634 David s. Ray, Chairman Bachelor's by dept. 37 Master's by 2 Fellowship (1) 600 9 dept. Teaching Fellowship (5) 2200-2400 9 Scholarship (2) 9

Carnegie-Mellon University, Pittsburgh 15213 DEPARTMENT OF MATHEMATICS Applications due: 3/15/74 Bachelor's by inst. 706 Richard A. Moore, Chairman Bachelor's by dept. 79 Master's by dept. 6 Teaching Fellowship (7) 2200 9 2 Teaching Assistantship (4) 2200-2600 9 3-4 Ph. D. (1971-1973 incl.) Research Assistantship (4) 4800-5200 9 2900 G&T 5, A&FA 9, AM 5. Total: 19

416 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial auistance amount 9 or 12 If not included hours typa Academic year (with numiMirantldpated 1974-1975) in dollars months in stipend (dollars) per week of service 1972-1973

DEPARTMENT OF COMPUTER SCIENCE Applications due: 2/15/74 Ph. D. (1971-1973 incl.) J. F. Traub, Head CS 20. Total: 20 Research Assistantship (12) 5800* 9 ** *Plus dependency allowance. Additional support often available in summer. **Directed research is a requirement for all our graduate students.

DEPARTMENT OF STATISTICS Applications due: 3/15/74 Bachelor's by inst. 706 Joseph B. Kadane, Head Master's by dept. 9 Teaching Assistantship (10) 2475-2625 9 2900 12 Teaching, Ph.D, (1971-1973 incl. ) Grading, P&S 7, Total: 7 Research

ClarioD State CoBege, Clarion 16214 DEPARTMENT OF MATHEMATICS Applications due: 8/1/74 Bachelor's by inst, 754 s. Gendler, Chairman Bachelor's by dept. 45 Teaching Assistantship (4) 1350-2700 9 10 Teaching, Master• s by dept. 19 Grading

Drexel University, Philadelphia 19104 DEPARTMENT OF MATHEMATICS Applications due: 4/15/74 Bachelor's by inst. 1227 Robert J. Bickel, Acting head Bachelor's by dept. 32 Master's by dept. 17 Teaching Assistantship (18) 2475-2925 9 6 Teaching Research Assistantship (2) 2475-3600 9-12 20 Research Ph. D. (1971-1973 incl. ) A&FA 3, P&S 1, CS 2. Total: 6 llllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll DREXEL UNIVERSITY The Drexel Mathematics Department offers graduate programs leading to the M. S. and Ph. D. degrees. In addition to the regular masters' degree program is a cooperative M. S. program with cooperating industries during the summers. The Ph. D. program is primarily concentrated in the areas of analysis and applied mathematics. Financial aid is available through teaching and research assistantships, fellowships, and traineeships which carry stipends from $2,.475 to $3,600 and a waiver of tuition and fees. Interested applicants should request further information from: - Dr. Robert J. Bickel, Acting Head, Mathematics Department - i! Drexel University i! I Philadelphia, Pennsylvania 19104 I iilllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllliii

...... , ...... i: : ! invites applications for the position of HEAD OF THE MATHEMATICS DEPARTMENT The Department consists of 26 faculty members and administers a program which includes the Ph.D. degree. CONTACT: Professor C. S. Duris Chairman of the Search Committee Department of Mathematics DREXEL UNIVERSITY Philadelphia, Pennsylvania 191 04

417 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of flnancial assistance amount 9 or 12 if not included hours type Academic year (with number anticipated 1974·1975) in dollars months in stipend (dollars) per week of service 1972-1973

Duquesne University, Pittsburgh 15219 DEPARTMENT OF MATHEMATICS Bachelor• s by inst. 835 C. F, Sebesta, Chairman Bachelor's by dept, 12 Teaching Assistantship (5) 2000 9 6-7 Master's by dept, 5

East Stroudsburg State College, East Stroudsburg 18301 DEPARTMENT OF MATHEMATICS Applications due: 4/15/74 Bachelor• s by inst. 480 Clarence D. Kern, Acting Chairman Bachelor's by dept, 27 Teaching Assistantship (1) 1757-1846 12 10 Teaching Master's by dept, 6 Research Assistantship (1) 1757-1846 12 10 Research Work-stndy 1. 60/hr. 42/sem, cr. 10-15 Variable

Indiana University of Pennsylvania, Indiana 15701 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst. 2201 Melvin R. Woodard, Chairman Bachelor's by dept. 142 Master's by dept. 9 Teaching Assistantship (5) 1300-2725 9 20 Tutoring, proctoring, grading

Kutztown State College, Kutztown 19530 DEPARTMENT OF MATHEMATICS Applications due: 4/1/74 Bachelor's by inst. 658 Edward W. Evans, Chairman Bachelor's by dept. 32 Master's by dept, 16 Teaching Assistantship (1 or 2) 2500-3000 9 20

Lehigh University, Bethlehem 18015 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74* Bachelor's by inst. 761 Everett Pitcher, Chairman Bachelor's by dept, 16 Teaching** Master• s by dept. 8 Fellowship (1) 2400-3600 12 0-2 Teaching Assistantship (31) 2400-2850 9 2-4 Teaching Ph. D. (1971-1973 incl.) Research Assistantship (2) 20 Research A&NT 2, G&T 4, L 2, Scholarship (2) A&FA 8, P&S 1, AM 4. Total: 19 *Late applications considered, **For additional compensation.

Pennsylvania State University, University Park 16802 DEPARTMENT OF MATHEMATICS Applications due: 2/15/74 Bachelor• s by inst, 7879 Paul Axt, Head Bachelor's by dept. 70 Fellowship (0-2) 2500-3000 9 Master• s by dept. 25 Teaching Fellowship (3) 4296 12 2courses Ph, D. (1971-1973 incl.) Teaching Assistantship (20-25)* 3222-3402 9 4-5 Teaching A&NT 16, G&T 1, L 5, *First year. A&FA 8, AM 3, Total: 33

DEPARTMENT OF COMPUTER SCIENCE Applications due: 2/15/74 Bachelor's by inst. 7879 Rosemary Schraer, Acting Head Bachelor's by dept, 106 Fellowship (3) 3000* 12 Master's by dept. 43 Teaching Assistantship (31) 3024 9 20 Ph, D, (1971-1973 incl.) Research Assistantship (2) 2844* 9 20 CS 17, other 1, Total: 18 *These are minimum figures; some stipends are greater.

Ship)M)nsburg State College, Shippensburg 17257 DEPARTMENT OF MATHEMATICS Applications due: 3/15/74 Bachelor's by inst. 852 James L. Sieber, Chairman Bachelor's by dept, 54 Master's by dept, 11 Teaching Assistantship (2) 2700 9 20 Grading

418 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of flnancial assistance amount 9 or 12 if not included houn type Acaclemlcyear (with number anticipated 1974-1975) in dollars months in stipend (dollars) per week of service 1972-1973

Temple University, Philadelphia 19122 DEPARTMENT OF MATHEMATICS Applications due: 3/15/74 Bachelor's by inst. 3308 Albert Schild, Chairman Bachelor's by dept. 45 Master's by dept. 6 Fellowship (3) 2700-3100 12 Teaching Assistantship (20) 3000-3400 9 4-8 Teaching Ph. D. (1971-1973 incl.) Research Assistantship (4) 3000-3400 9 A&NT 5, G&T 2, A&FA 3, Scholarship (3) 9 P&S 3. Total: 18

DEPARTMENT OF BIOMETRICS, MEDICAL SCHOOL Applications due: 3/1/74 Bachelor's by inst. 3308 Stanley Schor, Chairman Master's by dept. 3 Fellowship (10) 3000-4000 Teaching Assistantship (2) 3000-4000 Scholarship (20)

DEPARTMENT OF STATISTICS Applications due: * Bachelor's by inst. 3308 B. Siskin, Chairman Bachelor's by dept. 3 Master's by dept. 4 Fellowship (2) 2700-3000 12 Research Assistantship (5) 3000 9 20 Research Scholarship (Tuition) (4) 9 *Fall: 3/l0/74; Spring: 11/10/74.

University of Pennsylvania, Philadelphia 1917 4 DEPARTMENT OF MATHEMATICS Applications due: 2/1/74 Bachelor's by inst. 1500 MUrray Gerstenhaber, Chairman Bachelor's by dept. 31 Master's by dept. 6 Fellowship (4) 2400-2500 9 Teaching Assistantship (25) 3000 9 4 Ph. D. (1971-1973 incl.) * A'&N'i' 6, G&T 7, L 1, *Course hours, plus grading and preparation. A&FA 9, Other 3. Total: 26 Hllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllilllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll I TEMPLE UNIVERSITY, PHILADELPHIA I 5 offers an M.A. and Ph. D. program in Mathematics in a variety of fields including Algebra, Group ;;;: ;--=~__ Theory, Number Theory, Geometry, Topology, Probability and Statistics, Analysis, and Func- ==--=~ tional Analysis. - A limited number of assistantships and fellowships is available. For further information and - ~ applications for admission and financial support write to: ==~ -= Dr. Albert Schild, Chairman = Department of Mathematics = I Pbibd-=P~"r"'' I iiilllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll

UNIVERSITY OF PENNSYLVANIA GRADUATE PROGRAMS IN STATISTICS AND IN OPERATIONS RESEARCH TEACHING FELLOWSHIPS: • • • • • • • • • • • 9 months, $2,750-$3,200 plus tuition UNIVERSITY FELLOWSIDPS:- • • ·······minimum,. $2,400 plus tuition and fees MANAGEMENT RESEARCH ANALYSTS: • • -12 months, $5,400 plus tuition and fees APPLICATIONS:- • • • -For admission forms and further information, please write to: The Chairman, Department of Statistics and Operations Research E-220 Dietrich Hall UNIVERSITY OF PENNSYLVANIA Philadelphia, Pennsylvania 19174

419 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial auistance amount 9 or 12 If not indudec:l hours type Acadomicy- (with number anticipated 1974-1975) in dollars months In stipend (dollars) per week of service 1972-1973

DEPARTMENT OF COMPUTER AND INFORMATION SCIENCE Applications due: 2/1/74 Master's by dept. 25 Aravind K. Joshi, Chairman Ph. D. (1971-1973 incl.) Teaching Fellowship (11) 2750-2950 9 Full Tuition* 20 Teaching CS 27. Total: 27 Research Fellowship (12) 2750-2950 9** 20 Research*** *Approxhnately $3250. **In addition, 3 months during summer at full-time rate. ***Full-time during summer.

University of Pittsburgh, Pittsburgh 15260 DEPARTMENT OF MATHEMATICS Applications due: 3/15/74 Bachelor's by inst. 2153 W. E. Deskins, Chairman Bachelor's by dept. 154 Master's by dept. 15 Fellowship (2)* 3000-4375 9-12 Teaching Fellowship (14) 2950-4425 8-12 6-8 Teaching Ph. D. (1971-1973 incl.) Teaching Assistantship (24) 2750-4125 8-12 6 Teaching/ A&NT 2, G&T 7, L 1, Grading A&FA 10, P&S 1, CS 4, AM 1, other 1. Total: 27 *Fellows can be appointed as TA•s for one term.

DEPARTMENT OF COMPUTER SCIENCE Applications due: 3/1/74 Bachelor's by inst. 6700 Orrin E. Taulbee, Chairman Master• s by dept. 20 Teaching Fellowship (5) 2800-4200* 8-12 15-18 Teaching Teaching Assistantship (6) 2600-3900* 8-12 15-18 Teaching Research Assistantship (6) 3000-4500* 8-12 1000-1500** 15-18 Research Scholarship (2) Tuition Industry Cooperative Program (4) 3000-4800 12 750** 20 Industry *These basic stipends may be augmented. **In-state tuition.

Villanova University, Villanova 19312 DEPARTMENT OF MATHEMATICS Applications due: 3/15/74 Bachelor• s by inst. 1402 James 0. Brooks, Chairman Bachelor's by dept. 35 Master• s by dept. Teaching Assistantship (8) 2400 9 6 Teaching 39

West Chester State College, West Chester 19380 DEPARTMENT OF MATHEMATICS Applications due: 2/15/74 Bachelor's by inst. 1344 Richard Branton, Chairman Bachelor• s by dept. 35 Teaching Assistantship (2) 2705-2980 9 20 Teaching Master• s by dept. 6 and/or Assisting

Wilkes College, Wilkes-Barre 18703 DEPARTMENT OF MATHEMATICS Applications due: 4/15/74 Bachelor's by inst. 545 Bing K. Wong, Chairman Bachelor's by dept. 18 by Teaching Assistantship (2-3) 2500 9 10 Master's dept. 4 Scholarship* *Several (not limited to candidates in mathematics).

PUERTO RICO University of Puerto Rico, Mayaguez 00708 DEPARTMENT OF MATHEMATICS Applications due: 6/15/74 Bachelor's by inst. 1052 Augusto H. Ortiz, Chairman Bachelor's by dept. 19 Master's by dept. 2 Teaching Assistantship (13) 2625-3000 10 1/2/ 6 Teaching 12* *All first year students recieve $250/mo. for 10 1/2 months for a total of $2625. Some second year students, depending on achievement and need, receive $250/mo. for 12 months instead of the usual10 1/2 months.

University of Puerto Rico, Rio Piedras 00923 DEPARTMENT OF MATHEMATICS Applications due: 3/31/74 Bachelor's by inst. 1000 Harold J. Stolberg, Chairman Bachelor• s by dept. 50 Teaching Assistantship (5) 2250 9 8 Research Assistantship (2) 2000 9 8

420 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial asslstaMe amount 9 or 12 if not inducled houn type Academic year (with number anHclpetod 1974·1975) In dollars months In sflpend ( doHars) per week of service 1972·1973

RHODE ISLAND Jrown University, Providence 02912 JEPARTMENT OF MATHEMATICS Applications due: 1/10/74 Bachelor's by inst. 1056 :Wbert D. M. Accola, Chairman Bachelor's by dept. 30* Fellowship (7) 2200-3000 9 Master's by dept. 3 Teaching Assistantship (16) 2500-3000 9 7 Teaching Ph. D. (1971-1973 incl.) Research Assistantship (2) 2000-3000 9 Research A&NT 3, G&T 6, A&FA 7, *In addition, 11 combined (interdisciplinary) majors. P&S 2. Total: 18

DIVISION OF APPLIED MATHEMATICS Applications due: 1/10/74 Bachelor• s by dept. 30 Walter Freiberger, Chairman of Executive Committee Master's by dept. 19 Fellowship (10) 2400-2500 9 Ph. D. (1971-1973 incl. ) Teaching Assistantship (10) 2400-3000 9 3-9 Teaching A&NT 3, A&FA 5, P&S 7, Research Assistantship (12) 2790-5437. 50 9 390-2437. 50 3-9 Research CS 4, AM 9. Total: 28

Rhode Island College, Providence 02908 DEPARTMENT OF MATHEMATICS Applications due: 3/15/74 Bachelor's by inst. 950 Robert J. Salhany, Chairman Bachelor's by dept. 60 Master's by dept. 23 Teaching Assistantship (3) 2500 9 6 Teaehing

University of Rhode Island, Kingston 02881 DEPARTMENT OF MATHEMATICS Applications due: 3/15/74 Bachelor's by inst. 2014 Gerasimos Ladas, Chairman Bachelor• s by dept. 24 Master• s by dept. 6 Fellowship URI (2) 3000 9 Teaching Assistantship (16) 2800-3200 9 3-6 Teaching Ph. D. (1971-1973 incl.) A&FA 4, AM 1. Total: 5

DEPARTMENT OF COMPUTER SCIENCE AND Applications due: * Bachelor• s by inst. 2014 EXPERIMENTAL STATISTICS Master's by dept. 3 William J. Hemmerle, Chairman Teaching Assistantship (4) 2800-2900 9 20 Teaching Research Assistantship (2) 2800-2900 9 20 Research *11/73 and 4/15/74. SOUTH CAROLINA Clemson University, Clemson 29631 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 3/1/74 Bachelor's by inst, 1273 John Kenelly, Head Bachelor's by dept. 22 Master•s by dept. 29 Teaching Assistantship (75) 3640-3900 12 90/sem. 3-6 Teaching Ph. D. (1971-1973 incl.) A&NT 4, G&T 4, A&FA 6, P&S 2. Total: 16 University of South Carolina, Columbia 29208 DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE Applications due: 3/1/74 Bachelor's by inst. 2180 William J. Eccles, Head Bachelor's by dept. 44 Master's by dept. 35 Teaching Assistantship (60) 2800-4000 9 30 5-6 Teaching Ph.D, (1971-1973 incl.) 'A&NT 5. Total: 5

Winthrop College, Rock Hi1129730 DEPARTMENT OF MATHEMATICS Applications due: 5/1/74 Bachelor's by inst. 450 B. G. Hodges, Chairman Bachelor's by dept. 25 Teaching Assistantship (5) 2500-2900 9 20/cr. hr. 6 Teaching

421 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not included hours type Academic year {with number anticipated 1974 .. 1975) in dollars months in stipend (dollars) per week of service 1972-1973

SOUTH DAKOTA

South Dakota School of Mines & Technology, Rapid City 5770 l DEPARTMENT OF MATHEMATICS Applications due: 4/1/74 Bachelor's by inst. 25! Dean c. Benson, Chairman Bachelor's by dept. 1( Master's by dept. 5 Teaching Fellowship (6) 2600 9 8,33/sem.hr. 4-5 Teaching

South Dakota State University, Brookings 57006 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst. 1097 J. Ernest Richards, Acting Head Bachelor's by dept. 31 Master's by dept. 2 Teaching Assistantship (3) 2500-2800 9 8,33/cr. 6 Teaching

University of South Dakota, Vermillion 57069 DEPARTMENT OF MATHEMATICS Applications due: 3/15/74 Bachelor's by inst. 888 Wayne W. Gutzman, Chairman Bachelor's by dept, 39 by 13 Teaching Fellowship (8) 1800-2200 9 8,33/sem.hr. 4 Teaching Master's dept.

TENNESSEE Austin Peay State University, Clarksville 37040 DEPARTMENT OF MATHEMATICS Applications due: 4/1/74 Bachelor's by inst. 400 William G. stokes, Chairman Bachelor's by dept. 20 Master's by dept, 4 Teaching Assistantship (4) 1500 3 Teaching

The Mathematics and Computer Science Department of THE UNIVERSITY OF SOUTH CAROLINA is Now Accepting Applications for Teaching Assistantships for tire 1974-1975 Academic Year Stipends Range From $2800 to $4000 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, 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. Completed applications should be in the Graduate School Office 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

4?.2 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial auistance amount 9 or 12 if not Included houn type Academic year (with number anticipated 1974-1975) in dollan months in stipend ( dollan) per week of service 1972-1973

East Tennessee State University, Johnson City 3760 I DEPARTMENT OF MATHEMATICS Applications due: 4/30/74 Bachelor's by inst. 1385 Lester C, Hartsell, Chairman Bachelor's by dept. 18 Research Assistantship (4) 2070-2340 9 * 15 Teaching/ Master's by dept. 14 Research 20 Class assistant *In-state graduate students pay $136 per quarter. Out-of-state students pay $406 per quarter.

Memphis State University, Memphis 38152 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst. 2940 stanley P. Franklin, Chairman Bachelor's by dept. 49 Teaching Assistantship (25) 2500-3500 9 6 Teaching Master's by dept. 20

Middle Tennessee State University, Murfreesboro 37130 DEPARTMENT OF MATHEMATICS Applications due: 4/1/74 Bachelor's by inst. 1418 Harold Spraker, Chairman s. Bachelor's by dept. 48 Teaching Assistantship (8) 2160 9 1/2 time Teaching, Master's by dept, 10 Supervising Computer lab. Tennessee Technological University, Cookeville 38501 DEPARTMENT OF MATHEMATICS Applications due: 3/15/74 Bachelor's by inst. Ralph C. Boles, Chairman 800 Bachelor's by dept. 8 Teaching Assistantship (8) 2250-2475 9 6 Teaching Master's by dept. 4

University of Tennessee, Knoxville 37916

DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst. 3632 Lida K. Barrett, Head Bachelor's by dept. 63 Fellowship (3) 1600-3600 12 15/qtr. Master's by dept. 43 Teaching Assistantship (50) 1600-5400 9 15/qtr. 3-12 Teaching Ph. D. (1971-1973 incl.) A&N'T 6, G&T 4, A&FA 5, P&S 1, CS 3. Total: 19 DEPARTMENT OF COMPUTER SCIENCE Applications due: 2/74 Bachelor's by inst. 3466 GOrdon R. Sherman, Head Master's by dept. 10 Teaching Assistantship (11) 2200-2600 9 20

DEPARTMENT OF STATISTICS AND MANAGEMENT SCIENCE Applications due: 3/15/74 Bachelor's by inst. 2874 Charles Thigpen, Head Bachelor's by dept. 4 Fellowship (1) 2600-3600 12 Master's by dept. 6 Teaching Assistantship (5) 1800-3600 12 3-6 Teaching Ph. D. (1971-1973 incl.) AM 4. Total: 4

Vanderbilt University, NashvUie 37235 DEPARTMENT OF MATHEMATICS Applications due: 2/15/74 Bachelor's by inst. 1006 B. F. Bryant, Chairman Bachelor's by dept. 60 Teaching AssistantshiP (18) 3000 9 3-6 Teaching Master's by dept. 6 Ph. D. (1971-1973 incl.) A&NT 4, G&T 2, A&FA 3. Total: 9 DEPARTMENT OF SYSTEMS AND INFORMATION SCIENCE Applications due: 2/15/74 Bachelor's by inst. 836 William H. Rowan, Jr. , Director Bachelor's by dept. 9 Teaching Fellowship (3) 4600-5000 9 20 Teaching Master's by dept. 1 Teaching Assistantship (2) 4600-5000 9 20 Teaching Research Assistantship (2) 5800-6400 12 20 Research

423 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of finandal as.. stance amount 9 or j 2 If not lnduclocl houn type Aca•mic year (with number anticlpetocl1974-1975) In dollars months in sHponcl ( clollan) per wook of 1ervice 1972-1973

TEXAS Baylor University, Waco 76703 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst. 1168 Howard Rolf, Chairman Bachelor's by dept. 41 Master's by dept. 8 Teaching Assistantship (5) 1500-2500 9 3-6 Teaching Research Assistantship (5) 1200-1500 9 12 East Texas State University, Commerce 75428 DEPARTMENT OF MATHEMATICS Applications due: 4/15/74 Bachelor's by inst. 1561 Dale R. Bedgood, Head Bachelor's by dept. 47 Master's by dept. 12 Teaching Fellowship (2) 3310 9 125 6 Teaching Teaching Assistantship (8) 2790 9 125 6 Teaching

Lamu University, Beaumont 77710 DEPARTMENT OF MATHEMATICS Applications due: 3/15/74 Bachelor's by inst. 899 J. M. stark, Head Bachelor's by dept. 32 Master's by dept. Teaching Fellowship (4) 2800 9 91-281 6 Teaching 4 Scholarship (several) Grader (19) 792 9 126-666 15 Grading

Midwestern University, Wichita Falls 76308 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 5/1/74 Bachelor's by inst. 416 Louie C. Huffman, Chairman Bachelor's by dept. 20 Teaching Assistantship (6) 2700 9 50/sem. 6 Teaching Master's by dept. 7 North Texas State University, Denton 76203 DEPARTMENT OF MATHEMATICS Applications due: 2/15/74 Bachelor's by inst. 2500 Frank Connor, Chairman Bachelor's by dept. 27 Teaching Assistantship (22) 3100-3500 9 150/sem. 6 Teaching Master's by dept. 7

Pan Ameriean University, Edinbn~ 78539 DEPARTMENT OF MATHEMATICS Applications due: 4/15/74 Bachelor's by inst. 740 Sidney S. Draeger, Head Bachelor's by dept. 46 Teaching Assistantship (3) 3000 9 94/sem. 6 Teaching Rice University, Houston 77001 DEPARTMENT OF MATHEMATICS Applications due: 3/15/74 Bachelor's by inst. 544 Salomon Bochner, Chairman Bachelor's by dept. 35 Fellowship (22) 1800-2600 9* 6 Teaching, Master• s by dept. 3 Research Ph. D. (1971-1973 incl.) Scholarship (6) 9 A&NT 2, G&T 2, A&FA 7. *Appropriately higher for 12 months. Total: 11

DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 2/15/74 Bachelor's by inst. 641 R. M. Thrall, Chairman Bachelor's by dept. 37 Fellowship (4) 2200-2400 9 2300 10 Assist Pro-Master• s by dept. 2 fessors Ph. D. (1971-1973 incl.) Research Assistantship (2) 2200-2400 9 2300 AM 10. Total: 10 Scholarship (4) 10 Assist Professors

St. Mary's University, San Antonio 78284 DEPARTMENT OF MATHEMATICS Applications due: 5/74 Bachelor's by inst. 589 Frederick J. Carter, Chairman Bachelor's by dept. 29 Teaching Assistantship (1) 2500 9 6 Teaching Master's by dept. 7 and other duties

424 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not included hours type Academic year (with number anticipated 1974 .. 1975) in dollars months in stipend (dollars) per week of service 1972-1973

Sam Houston State University, Huntsville 77340 DEPARTMENT OF MATHEMATICS Applications due: 2/15/74 Bachelor's by inst. 1153 Glen E. Mattingly, Director Bachelor's by dept. 23 Teaching Assistantship (3) 2700-2925 9 50 6 Teaching Master's by dept. 12 other (10) 1890-2925 9 59 15-20 Non-teaching Jr. College Internship (2) 250-270/mo. 9

Southern Methodist University, Dallas 75275 DEPARTMENT OF MATHEMATICS Applications due: 3/30/74 Bachelor's by inst. 1378 David W. Starr, Chairman Bachelor's by dept. 38 Master's by dept. 6 Teaching Assistantship (7) 2200-3300 9 6-9 Teaching Scholarship (1) 9 2000

DEPARTMENT OF STATISTICS Applications due: 4/1/74 Bachelor's by inst. 1378 D. B. Owen, Chairman Bachelor's by dept. 1* Master's by dept. 9 Teaching Assistantship (14) 1980-3600 9 5-20 Teaching Research Assistantship (4) 2750-6000 12 Ph. D. (1971-1973 incl.) Scholarship (7) Tuition 9 P&S 24. Total: 24 *B.S. in statistics offered for first time Fall, 1972.

Stephen F. Austin State University, Nacogdoches 75961 DEPARTMENT OF MATHEMATICS Applications due: 2/1/74* Bachelor's by inst. 1173 W. I. Layton, Head Bachelor's by dept. 36 Master's by dept. 2 Teaching Assistantship (18) 1500-3000 9 260 3-6 *Late applications will be considered if vacancies exist.

Texas A & 1-U niversity, Kingsville 78363 DEPARTMENT OF MATHEMATICS Applications due: 4/15/74 Bachelor's by inst. 1442 Virgil C. Kowalik, Chairman Bachelor's by dept. 20 Master's by dept. 12 Teaching Assistantship (10) 2970 9 50* 6 Teaching *Based on 9 semester hours for Texas residents.

Texas A & M University, College Station 77843 DEPARTMENT OF MATHEMATICS Applications due: 4/15/74 Bachelor's by inst. 2114 G. R. Blakley, Head Bachelor's by dept, 27 Teaching Assistantship (80) 3150-3600 9 50 20 Master's by dept. 5 Non-teaching Assistant (3) 3150-3600 9 50 20 Ph. D. (1971-1973 incl.) A&NT 2, A&FA 2, CS 1. Total: 5

TEXAS A&M UNIVERSITY The Department of Mathematics of Texas A & M University offers programs leading to the M.S. and Ph.D. degrees. A student·has great flexibility in choosing a program. Faculty members are active in research in many fields of pure and applied mathematics from algebra to partial differential equations. The library and computing facilities are quite good. Financial assistance is available. For more information write: Department of Mathematics Graduate Student Committee TEXAS A & M UNIVERSITY College Station, Texas 77843

425 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of firiancial assistance amount 9 or 12 if not included hours type Academic year (with number anticipated 1974-1975) in dollars months in stipend (dollars) per week of service 1972-1973

INSTITUTE OF STATISTICS Applications due: 4/1/74 Bachelor's by inst. 2484 H. 0. Hartley, Director Master's by dept. 8 Teaching Assistantship (10) 3150-3600 9* 150 10-20 Ph. D. (1971-1973 incl.) Research Assistantship (15) 3150-3600 9* 150 10-20 P&S 28. Total: 28 *Summer assistantships normally available but not guaranteed.

Texas Christian University, Fort Worth 76129 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor• s by inst. 761 L. A. Colquitt, Chairman Bachelor's by dept. 27 Teaching Fellowship (10) 2400-3300 12 8 Teaching Master's by dept. 5 Teaching Assistantship (5) 1800-2000 9 12 Teaching Ph. D. (1971-1973 incl.) Scholarship (2) 9 8 Research A&NT 6, A&FA 3. Total: Assistant 9 Computer Center Trainee (3) 3200-3400 9 20 Computer Center

Texas Southern University, Houston 77004 DEPARTMENT OF MATHEMATICS Applications due: 6/1/74 Bachelor's by inst, 500 L. L. Clarkson, Chairman Bachelor's by dept. 20 Teaching Assistantship (2) 2225-4050 3-6 Teaching Master's by dept. 9

Texas Tech University, Lubbock 79409 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst. 2985 J. Dalton Tarwater, Chairman Bachelor's by dept. 69 Teaching Assistantship (57) 3000-3800 9 50/sem. Teaching Master's by dept. 27 Ph. D. (1971-1973 incl.) A&NT 6, A&FA 4, P&S 9, CS 4. Total: 23

University of Houston, Houston 77004 DEPARTMENT OF MATHEMATICS Applications due: * Bachelor's by inst. 2440 J. N. Younglove, Chairman Bachelor's by dept. 96 Fellowship (5) 2250-3600 9 or 12 Master's by dept. 7 Teaching Fellowship (35) 3000-3600 9 6 Teaching Ph. D. (1971-1973 incl.) *Spring 1974: 12/15/73; Fall 1974: 7/25/74. A&NT 7, G&T 8, A&FA 9, AM 3. Total: 27

University of Texas at Arlington 76010 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst. 1944 V. Lakshmikantham, Chairman Bachelor's by dept. 124 Master's by dept. 14 Teaching Assistantship (16) 2700 9 121/sem. 6 Teaching

University of Texas at Austin 78712 DEPARTMENT OF MATHEMATICS Applications due: 2/1/74 Bachelor's by inst. 7175 W. W. Bledsoe, Chairman Bachelor's by dept. 199 Master's by dept. 10 Fellow ship (5) 2800-3200 9 50 for 12 hrs. Teaching Assistantship (76) 3000-4000 9 50 for 12 hrs. 20 Teaching Ph. D. (1971-1973 incl.) Assistant Instructor (16) 4000 9 20 Teaching A&NT 4, L 1, A&FA 7, P&S 1, CS 2, AM 7, Other 3. Total: 25

DEPARTMENT OF COMPUTER SCIENCE Applications due: 2/1/74 Master's by dept. 12 J. c. Browne, Chairman Ph. D. (1971-1973 incl.) Fellowship (2) 2400-3400 9 C'§""30. Total: 30 Teaching Assistantship (5) 3000 9 20 Research Assistantship (8) 2500-3000 9-12 20

426 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assittance amount 9 or 12 if not Included hours type Academic year (with numberantlclpatod 1974-1975) in dollars months In stipend (doll an) per week of service 1972-1973

University of Texas at El Paso 79968 DEPARTMENT OF MATHEMATICS Applications due: 3/15/74 Bachelor's by inst. 1363 William J. Leahey, Chairman Bachelor's by dept. 50 Master's by dept. 3 Fellowship (2) 1500 9 In-state* Teaching Assistantship (10) 2500-3000 9 In-state* 6 Teaching *Anyone holding an assistantship or a fellowship pays in-state tuition, normally about $150/semester for a full-time graduate student.

West Texas State University, Canyon 79105 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst. 1054 H. L. Cook, Head Bachelor's by dept. 28 Master's by dept. 4 Teaching Assistantship (8) 2700 9 82/sem. 20 Teaching

UTAH Brigham Young University, Provo 84602 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst. 4093 Kenneth L. Hillam, Chairman Bachelor's by dept. 50 Master's by dept. 5 Teaching Assistantship (28) 1325-1480/ sem. 9 450/sem. 10 Research Assistantship (10) 1325-1480/ sem. 9 450/sem. 10 Scholarship (9) 100-600/sem. 9 450/sem. 10 Internships (2) 500/sem. 9 450/sem. 10

DEPARTMENT OF COMPUTER SCIENCE Bachelor• s by inst. 4455 C. Edwin Dean, Chairman Bachelor's by dept. 43 Teaching Assistantship (15) 1250-1550 9 20 Teaching, Master's by dept. * *New program. Research

DEPARTMENT OF STATISTICS Applications due: 3/1/74 Bachelor's by inst. 4455 H. Gill Hilton, Chairman Bachelor's by dept. 7 Teaching Assistantship (11) 2500-4500 9 450/sem. 20 Teaching Master's by dept. 12 Research Assistantship (1) 2500-4500 12 10 Research

University of Utah, Salt Lake City 84112 DEPARTMENT OF MATHEMATICS Bachelor's by dept. 50 C. E. Burgess, Chairman Master's by dept. 10 Fellowship (3) 210D-2500 12 480-1155 Ph. D. (1971-1973 incl.) Teaching Fellowship (40) 3600-4050 9 8-10 Teaching A&NT 2, G&T 1, A&FA 5, CS 4, AM 2. Total: 14

Utah State University, Logan 84321 DEPARTMENT OF MATHEMATICS Applications due: 4/1/74 Bachelor's by inst. 1456 Lawrence 0. Cannon, Head Bachelor's by dept. 14 Master's by dept. 9 Teaching Assistantship (16) 2500-4000 9 5-10 Teaching Research Assistantship (1) 2000 5

DEPARTMENT OF APPLIED STATISTICS AND COMPUTER SCIENCE Applications due: 4/1/74 Bachelor's by inst. 1456 Rex L. Hurst, Head Bachelor• s by dept. 6 Master's by dept. 6 Teaching Assistantship (1) 1800 9 144 20 Teaching Research Assistantship (1) 1800 9 144 20 Research

VERMONT University of Vermont, Burlington 05401 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst. 1100 N. James Schoonmaker, Chairman Bachelor's by dept. 55 Master's by dept. 5 Fellowship (5) 1000 9 Teaching Fellowship (13) 2600 9 6 Teaching Ph. D. (1971-1973 incl.) AM 1. Total: 1

427 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not included hours type Academic year (with number anticipated 1974·1975) in dollars months in stipend (dollars) per week of service 1972·1973

VIRGINIA College of William and Mary, Williamsburg 23185 DEPARTMENT OF MATHEMATICS Applications due: 3/12/74 Bachelor's by inst. 884 P. V. O•Neil, Chainnan Bachelor's by dept. 40 Master's by dept. 4 Fellowship (1) 2000 9 Teaching Assistantship (5) 2700 9 9 Grad:ing

George Mason University, Fairfax 22030 DEPARTMENT OF MATHEMATICS Applications due: 6/1/74 Bachelor's by inst. 307 John A. Oppelt, Chairman Bachelor's by dept. 20 Master's by dept. 2 Teach:ing Assistantship (1) 3250 9 450/yr. 10 Teaching

University of Virginia, Charlottesville 22901

DEPARTMENT OF MATHEMATICS Applications due: 2/1/74 Bachelor's by inst. 1403 Kevin McCrimmon, Chairman Bachelor's by dept. 22 Fellowship (6) 3000 9 Master• s by dept, 5 Teaching Assistantship (18)* 3300-3500 9 6 Teach:ing Ph. D. (1971-1973 incl.) *Some half-assistantships are awarded. A&NT 1, G&T 9, A&FA 6. Total: 16 DEPARTMENT OF APPLIED MATHEMATICS AND COMPUTER SCIENCE Applications due: 2/1/74 Bachelor's by inst. 1629 Robert H. Owens, Chairman Bachelor's by dept. 12 Fellowship (6) 2400-2900 9 Master's by dept, 11 Teach:ing Assistantship (12) 3000-3500 9 1400 12 Ph, D, (1971-1973 incl.) Research Assistantship (6) 3000-3600 9 1400 20 CS 1, AM 3. Total: 4

Virginia Commonwealth University, Richmond 23284 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 3/15/74 Bachelor's by inst. 2000 William A. Glynn, Chairman Bachelor's by dept. 25 Teaching Assistantship (20) 3000-4590 10 560-820 18-20 Lab. Master's by dept. * *First master's (7) anticipated in 1974.

DEPARTMENT OF BIOMETRY Applications due: 4/1/74 Master's by dept, 5 S. J. Kilpatrick, Jr., Chairman Fellow ship (7) 2400-2800 12 820 6 Consult:ing

Virginia Polytechnic Institute and State University, Blacksburg 24061 DEPARTMENT OF MATHEMATICS Applications due: 4/15/74 Bachelor's by inst. 2397 C, Wayne Patty, Head Bachelor's by dept. 59 Master's Teach:ing Assistantship (40) 3375 9 200/qtr. 6 Teaching by dept. 7 Ph. D. (1971-1973 incl.) G&T 3, A&FA 1, AM 1. Total: 5

DEPARTMENT OF COMPUTER SCIENCE Applications due: 2/1/74 Bachelor's by inst. 2397 Richard E. Nance, Head Bachelor's by dept. 37 Teaching Assistantship (8) 3330-3735 9 200/qtr. (fees) 20 Teaching, Master's by dept, 1 Assist:ing Research Assistantship (4) 3330-3735 9 200/qtr. (fees) 20 Research

DEPARTMENT OF STATISTICS Applications due: 2/1/74 Bachelor's by dept. 4 Jesse C, Arnold, Head Master's by dept. 10 Fellowship (2) 4500-6000 12 Ph. D. (1971-1973 incl.) Teaching Assistantship (15) 3295-3735 9 20 Teaching, 'i5"&S"3s. Total: 38 lab Research Assistantship (4) 3295-3725 9 20 Research

428 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not lndudecl houn type Academic year (with number anticipated 1974-1975) in dollan months in stipend (dollars) por week of service 1972-1973

WASlliNGTON Central Washington State College, Ellensburg 98926 DEPARTMENT OF MATHEMATICS Applications due: 2/15/74 Bachelor's by inst. 1737 Robert Y. Dian, Chairman Bachelor's by dept. 20 Master's by dept. Teaching Assistantship (5) 1350-2700 9 185/qtr. 20 4

Eastern Washington State College, Cheney 99004 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor• s by inst. 1220 Hugh D. Sullivan, Chairman Bachelor's by dept. 48 by 5 Teaching Assistantship (4) 2880 9 189/qtr. 18 Master's dept. Research Assistantship (1) 2880 9 189/qtr. 18

University of Washington, Seattle 98195 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst. 5846 Robert M. Blumenthal, Chairman Bachelor's by dept. 150 Master's hy dept. 20 Fellowship (4) 3000-5100 12 Teaching Assistantship (55) 3969-4527 9 624 20* Teaching Ph. D. (1971-1973 incl.) Research Assistantship (4) 3645-4158 9 624 Research li&"NT 6, G&T 11, L 1, li&FA 16, CS 1, JIM 3, *4 to 6 hours In class plus office hours and preparation time. Other 1. Total: 39 COMPUTER SCIENCE GROUP Applications due: 4/1/74 Master's by dept. 5 Jerre D. Noe, Chairman Ph. D. (1971-1973 incl.) Teaching Assistantship (4) 3969 9 208/qtr. 6 CS 6. Total: 6 Research Assistantship (4) 3645 9 208/qtr. 20 CENTER FOR QUANTITATIVE SCIENCE IN FORESTRY, FISHERIES & WILDLIFE Applications due: 3/1/74 Bachelor's by inst. * Benjamin A. Jayne, Director Fellowship (5) 4860 12 832** Full time Teaching Assistantship (3) 3969 9 624 20 Research Assistantship (15) 4860 12 832 20 *The Center does not offer any degree program. Most of tbe students of tbe CQS are associated witb tbe Biomathematics Program of the Graduate School of tbe University. **Resident rate. Washington State University, Pullman 99163 DEPARTMENT OF PURE liND APPLIED MATHEMATICS Applications due: 2/1/74 Bachelor's by inst. 2268 Calvin T. Long, Chairman Bachelor's by dept. 26 Master's by dept. 24 Teaching Assistantship (29) 3978-4145 9 624 Teaching Research Assistantship (1) 3749 9 624 20 Teaching Ph. D. (1971-1973 incl. ) li&NT 5, G&T 2, li&Fll 1, JIM 1, Other 5. Total: 14 COMPUTER SCIENCE DEPARTMENT Applications due: 3/15/74 Bachelor's by inst. 2454 ottis W. Rechard, Chairman Bachelor's by dept. 23 Teaching Assistantship (13) 221-442 9 312* Teaching Master• s by dept. 7 Research Assistantship (5) 193-386 12 312* Research Ph. D. (1971-1973 incl. ) staff Assistant (12) 193-386 312* Program- 'CS""3. Total: 3 ming, Con- sulting *Graduate tuition (resident).

Western Washington State College, Bellingham 98225 DEPARTMENT OF MATHEMATICS liND COMPUTER SCIENCE Applications due: 4/1/74 Bachelor's by lnst. 1380 Albert Froderberg, Chairman Bachelor• s by dept. 60 Teaching Assistantship (11) 2880 9 555 One course Master's by dept. 14

429 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not included hours type Academic year (with number anticipated 1974·1975) in dollars months in stipend (dollars) per week of service 1972-1973

WEST VIRGINIA West Virginia University, Morgantown 26506 DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst. 561 I. D. Peters, Chairman Bachelor's by dept. 16 Master's by dept. 8 Teaching Assistantship (18) 2200-2400 9 18-20 Teaching, assisting

DEPARTMENT OF STATISTICS & COMPUTER SCillNCE Applications due: 2/28/74 Bachelor's by inst. 561 Donald F. Butcher, Chairman Bachelor's by dept. 18 Research Assistantship (4) 2142-3200 9/12 16 Computer Master's by dept. 8 Analysis WISCONSIN

Marquette University, Milwaukee 53233 DEPARTMENT OF MATHEMATICS AND STATISTICS Applications due: 2/1/74 Bachelor's by inst. 1301 Willard E. Lawrence, Chairman Bachelor's by dept. 35 Master's by dept. 2i Teaching Assistantship (ll) 2600-3000 9 12-20 Teaching Research Assistantship (1) 2400-2800 9 12-20 Research

University ofWisconsin-Eau Claire 54701 m DEPARTMENT OF MATHEMATICS Applications due: 2/28/74 Bachelor's by inst. 712 Lawrence Wahlstrom, Chairman Bachelor's by dept. 29 Master• s by dept. 8 Fellowship (1) 2500 9 500 20

University of Wisconsin, Madison 53706 DEPARTMENT OF MATHEMATICS Applications due: * Bachelor's by inst. 4758 Michael N. Bleicher, Chairman Bachelor's by dept. 86 Master's by Fellowship (20) ** 2800-4500 9-12 varies dept. 25 Teaching Assistantship (125) 3600-4400 9 1/2time Teaching Ph. D. (1971-1973 incl.) Research Assistantship (5) 3366 9 1/2time Research A&NT 27, G&T 14, L 3, MRC Regular (8) 3300-3900 12 Research A&FA 30, AM 4, Other 3. towards Total: 81 Ph.D. MRC R. E. Langer (2) 4400-4800 12 Research towards Ph.D. *11/15/74 for Spring; 1/15/74 for Fall. **To be competed for in all University competition.

DEPARTMENT OF COMPUTER SCillNCES Applications due: 1/15/74 Bachelor's by inst. 4925 Olvi L. Mangasarian, Chairman Bachelor's by dept. 32 Master's Fellowship (6) 3400-4400 9-12 by dept. 48 3/8 Teaching Assistantship (10) 3249-3375 9 760 15 Teaching Ph. D. (1971-1973 incl.) 1/2 Teashing Assistantship (32) 4329-4491 9 760 20 Teaching CS 24. Total: 24 Research Assistantship (20) 3366-4116 9-12 760 20 Research Project Assistantship (10) * 9-12 760 M.R. C. Regular Fellowship (8) 3300-3900 12 * M. R. C. Langer Fellowship (2) 4400-4800 12 *To be arranged.

University of Wisconsin-Milwaukee 53201 DEPARTMENT OF MATHEMATICS Applications due: 2/1/74 Bachelor's by inst. 2603 Gilbert G. Walter, Chairman Bachelor's by dept. 74 Master's Fellowship Uni v. (2) 3150 9 9 Research by dept. 13 Teaching Fellowship*(2) 5245 9 3 or 4 Teaching Ph. D. (1971-1973 incl.) 6 or 9 Research A&NT 3, G&T 1, A&FA 7, Teaching Assistantship (65) 4329-4491 9 733/Yr. 6 Teaching AM 1. Total: 12 Research Assistantship (2) 3366 9 *1/4 Teaching Assistant, and NSF or NDEA.

430 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not Included hours type Academic year (with number anticipated 1974-1975) in dollars months in stipend (dollars) par week of service 1972-1973

WYOMIN(; University of Wyoming, Laramie 82071 DEPARTMENT OF MATHEMATICS Applications due: 3/15/74 Bachelor's by inst. 1257 Joseph M. Martin, Head Bachelor's by dept. 20 Teaching Assistantship (20) 2898-3861 9 6-8 Teaching Ph. D. (1971-1973 incl.) * A&NT 4, G&T 2, A&FA 2, *Resident: $205. 25/sem.; nonresident: $688. 25/sem. CS 1, AM 3. Total: 12

DEPARTMENT OF STATISTICS Applications due: 3/1/74 Bachelor's by inst, 1908 Timon A. Walther, Head Bachelor's by dept. 3 Master's by dept. 6 Teaching Assistantship (7) 1449-2998 9 54/sem. * 18 Teaching (fees) Research Assistantship (1)** 1449-2998 9-12 *Full fees remitted for full assistantships, half fees for half assistantships. **+ 2 1/2 from other departments• funds.

CANADA Acadia University, Wolfville, Nova Scotia DEPARTMENT OF MATHEMATICS Applications due: 4/1/74 Bachelor's by inst. 550 K.D.C. Haley, Chairman Bachelor's by dept. 30 Fellow ship (5) 225 0 9 6 Teaching Master's by dept. 3

Carleton University, Ottawa, Ontario DEPARTMENT OF MATHEMATICS Applications due: * Bachelor's by inst. 1814 V. Dlab, Chairman Bachelor's by dept. 57 Master• s by dept, 12 Fellowship (5) 4050 12 638 6 Teaching Teaching Fellowship (2) 4200-4800 12 638 Ph. D. (1971-1973 incl.) Teaching Assistantship (4) 1800-2400 9 638 6-8 Teaching A&NT 2, G&T 1, A&FA 2, Research Assistantship (10) 1000-3360 12 638 0-6 Research P&S 1. Total: 6 Scholarship (8) 900-4800 12 638 0-6 Teaching Combined Teaching-Research (16)3900-5000 12 638 3-8 Teaching *Assistantships: 3/1/74; Fellowships: 6/1/74.

Dal~ousie University, Halifax, Nova Scotia DEPARTMENT OF MATHEMATICS Applications due: Open Bachelor's by inst. 992 W.R.S. Sutherland, Chairman Bachelor's by dept. 115 Master• s by dept, 2 Teaching Fellowship (1) 3800-5500 12 725 7 Teaching Assistantship (17) 1975-3925 12 7 Ph. D. (1971-1973 incl. ) Scholarship (9) 3800-5500 12 725 A&NT 3, G&T 1, L 1, A&FA 3, P&S 1, CS 1, Other 2. Total: 12 McGill University, Montreal, Quebec DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Master's by dept. 16 E. Rosenthall, Chairman Ph. D. (1971-1973 incl.) Fellowship (5) 2000-3600 9 652 A&NT 9, G&T 1, L 2, Teaching Assistant ship (25) 2950-5800 9 652 3-6 A&FA 4. Total: 16 Research Assistantship (30) 2000-3200 12 652 6 Demonstrator (60) 425-1500 9 652 3-6

McMaster UDiversity, Hamilton, Ontario DEPARTMENT OF MATHEMATICS Applications due: 3/15/74 Bachelor's by inst. 1366 C. Riehm, Chairman Bachelor's by dept. 32 Teaching Fellowship (45) 4100-4950 12 600 10 Teaching, Master's by dept. 10 grading Ph. D. (1971-1973 incl.) A&NT 7, G&T 7, A&FA 6, Total: 20 Lakehead University, Thunder Bay, Ontario DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 9/74 Bachelor's by inst. 315 J.H.M. Whitfield, Chairman Bachelor's by dept. 11 Master's by dept. 1 Teaching Assistantship (6) 1600-2100 12 595 12

431 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not included hours type Academic year (with number anticipated 1974-1975) in dollan months In stipend (dollars) per week of service 1972-1973

Memorial University of Newfoundland, St. John's, Newfoundland DEPARTMENT OF MATHEMATICS Applications due: 9/1/74 Bachelor's by dept. 72 W.J. Blundon, Head Master• s by dept. 2 Fellowship (3) 3200-3800 12 500

Queen's University at Kingston, Kingston, Ontario DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst. 2559 A. J. Coleman, Head Bachelor's by dept. 54 Fellowship (5) 2000-3800 12 Master's by dept. 19 Teaching Assistantship (26) * 1000-2400 12 4-10 Ph. D. (1971-1973 incl. ) Research Assistantship (26) 1200-2400 12 4-10 A&NT 9, G&T 1, A&FA 6, *Teaching Assistantships of varying amounts are combined with internally and P&S 1, AM 4. Total: 21 externally awarded Jrellowships, Scholarships and Research Assistantships. The total annual stipend does not normally exceed $4, 500.

Simon Fraser University, Burnaby, British Columbia DEPARTMENT OF MATHEMATICS Applications due: 3/31/74 Bachelor's by inst. 627 A. H. Lachlan, Chairman A Bachelor's by dept. 22 Teaching Assistantship (20) 3130-3820 8* 150/sem. ** 15 Teaching Master's by dept. 6 Research Assistantship (5) 3360 12 150/sem. ** Research Ph. D. (1971-1973 incl. ) Scholarship (5) 3800 12 150/sem. ** A&NT 1, L 3, AM 1. *Extendible to 12 months with $1,120 research assistantship. Total: 5 **Fees reduce to $20 per semester in second year of graduate studies.

Universite de Sherbrooke, Sherbrooke, Quebec DEPARTMENT OF MATHEMATICS Applications due: 5/1/74 Bachelor's by inst. 800 Jean-Pierre Samson, Chairman Bachelor's by dept. 27 Master's by dept. 7 Teaching Assistantship (6) 1300-3900 9 Research Assistantship (3) 7000-9000 12 Ph. D. (1971-1973 incl.) A&FA 1. Total: 1

UDiversite d'Ottawa, Ottawa, Ontario DEPARTMENT OF MATHEMATICS Applications due: 7/1/74 Bachelor• s by inst. 1410 Remi Vaillancourt, Chairman Bachelor's by dept. 25 Teaching Fellowship (2) 3000-4500 12 631 4 Teaching Master• s by dept. 5 Teaching Assistantship (10) 2400-3000 12 631 4 Teaching Ph. D. (1971-1973 incl.) Research Assistantship (2) 3400-4500 12 631 4 Research A&FA 1, CS 1. Total: 2

University of Alberta, Edmonton, Alberta DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst. 3791 A. Meir, Acting Chairman Bachelor's by dept. 14 Master• s by dept. Teaching Assistantship (30) 3100-3800 9 4-6 Teaching 9 or Lab Ph. D. (1971-1973 incl,) Research Assistantship (2) 2500-3000 9 4-6 Research A&NT 7, G&T 6, A&FA 6, Scholarship (15) 500-1000 2-4 Summer P&S 1, AM 3. Total: 23 Research

DEPARTMENT OF COMPUTING SCIENCE Applications due: 3/15/74 Bachelor's by dept. 30 Arthur Wouk, Chairman Master's by dept. 23 Teaching Assistantship (15-20) 1800-3700 9 12 Grading Ph. D. (1971-1973 incl.) Research Assistantship (10) 1899-3100 12 500* 12 Research CS 4. Total: 4 *First year.

432 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of finandal assistance amount 9 or 12 if not included hours type Academic year (with number anticipated 1974·1975) in dollars months in stipend (dollars} per week of service 1972-1973

University of British Columbia, Vancouver, British Columbia DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst. 3300 Donald Bures, Head Bachelor's by dept. 100 Master's by dept. 10 Fellowship (5) 2200-3200 9-12 455 Teaching Assistantship (40) 1600-3500 9 455 6-12 Teaching, Ph. D. (1971-1973 incl.) grading A&NT 7, G&T 3, A&FA 14, Research Assistantship (20*) 250-1000 1-4 Research P&S 1, AM 1. Total: 26 *Available in summer to some Canadian citizens and landed immigrants.

University of Calgary, Calgary, Alberta DEPARTMENT OF MATHEMATICS, STATISTICS AND COMPUTING SCIENCE Applications due: 4/74 Bachelor's by inst. 475 P. Lancaster, Head Bachelor's by dept. 124 Master's by dept, 7 Teaching Assistantship (30) 2800-4200 9 12 Research Assistantship (5) 2800-4200 9 12 Ph. D. (1971-1973 incl.) NRC 2520 A&FA 4, CS 1, AM 2, Other 2. Total: 9

UDiversity of Guelph, Guelph, Ontario DEPARTMENT OF MATHEMATICS AND STATISTICS Applications due: Bachelor's by inst. 1411 T, D. Newton, Chairman Bachelor's by dept. 11 Master's by dept. 9 Teaching Assistantship (4) 2400 12 400/yr. 10 Research Assistantship (2) 900-1600 12 400/yr.

University of Manitoba, Winnipeg, Manitoba DEPARTMENT OF STATISTICS Applications due: 3/31/74 Bachelor's by inst. 339 B. K, Kale, Head Bachelor's by dept. 13 6 Teaching Fellowship (2) 2800-4300 8 400-450 6-8 Demonstra-Master's by dept. tor/marker Teaching Assistantship (10) 1400-2200 8 400-450 3-6

University of New Brunswick, Fredericton, New Brunswick DEPARTMENT OF MATHEMATICS Applications due:3/15/74 Bachelor's by inst. 1040 T. D, Howroyd, Chairman Bachelor's by dept, 14 Master's by dept. 7 Fellowship (10) 2000-2500 9 500 6 Research Teaching Fellowship (1) 2500 9 500 3 Teaching Ph. D. (1971-1973 incl.) Research Assistantship (6) 1000-2500 9 500 6 Research A&FA 1, Other 1. Total: 2

University of Saskatchewan, Regina, Regina, Saskatchewan DEPARTMENT OF MATHEMATICS Applications due: 8/1/74 Bachelor's by inst, 500 I. McDonald, Chairman Bachelor's by dept. 50 Master's by dept. 1 Teaching Fellowship (2) 3400 8 450 5 Teaching

University of Saskatchewan, Saskatoon, Saskatchewan DEPARTMENT OF MATHEMATICS Applications due: 3/1/74 Bachelor's by inst, 1680 G,H.M. Thomas, Head Bachelor's by dept, 59 Master's by dept, 3 Teaching Assistantship (10) 3500 12 450 3 Teaching or equi Ph. D. (1971-1973 incl.) vruent A&NT 1, A&FA 1, CS 3, Total: 5

433 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 if not includ•d hours type Academic year (with number anticipated 1974-1975) in dollars months in stipend (dollars} per week of service 1972-1973

University of Toronto, Toronto, Ontario DEPARTMENT OF MATHEMATIUS Applications due: 3/15/74 Bachelor's by inst, 6489 G. F. D. Duff, Chairman Bachelor• s by dept. 25 Master• s by dept. 16 Teaching and Research Assistantship (15) 4000-4200 12 585 4 Tutoring Ph, D. (1971•1973 incl.) Scholarship (35) 4050-5500 12 585 A&NT 6, G&T 10, L 2, A&FA 18, P&S 8, CS 2, AM 5. Total: 51

DEPARTMENT OF COMPUTER SCIENCE Applications due: 3/15/74* Bachelor's by inst. 6489 Thomas E. Hull, Chairman Bachelor's by dept. 24 Master• s by dept. 15 Fellowship (47) 2250-5500 12 585 Research Teaching Assistantship** (50) 850 8 585 4 Tutoring, Ph. D. (1971-1973 incl.) Marking CS 18. Total: 18 Research Assistantship (30) 1110-3360 12 585 Research *December 15, 1973 for NRC Fellowships. **A teaching assistantship may be held together with a research assistantship or with certain fellowships,

DEPARTMENT OF INDUSTRIAL ENGINEERlNG Applications due: 2/1/74 Bachelor's by inst. 6489 Artlrur Porter, Chairman Bachelor's by dept. 57 Fellowship (2) 1500-4200 630 Master's by dept. 13 Teaching Assistantship (75) 368-420 4 630 4 Ph. D. (1971-1973 incl.) Research Assistantship* (14) 3360 9 630 Other 11. Total: 11 *Restricted to Canadian citizens and landed immigrants in Canada.

UDiversity of Victoria, Victoria, British Columbia DEPARTMENT OF MATHEMATICS Applications due: 2/22/74 Bachelor's by inst, 737 W. R. Gordon, Head Bachelor's by dept. 32 Fellowship (2) 2500-3500 9/12 450 Master's by dept. 1 Scholarship (2) 1000-1500 9/12 450

University of Waterloo, Waterloo, Ontario FACULTY OF MATHEMATICS Applications due: * Bachelor's by inst. 1916 W. F. Forbes, Dean of the FaCulty Bachelor's by dept, 372 Teaching Fellowship (225) 1200-2400 12 900 5-10 Grading Master's by dept. 54 Research Assistantship (105) 3360 12 900 Ph. D. (1971-1973 incl.) Province of Ontario A&NT 1, G&T 1, A&FA 2, Graduate Fellowship (7) 1500-2250 8/12 900 P&S 7, CS 17, AM 21, University of Waterloo Other 12. Total: 61 Bursary (13) 500-2000 8/12 900 *Beginning of term.

University of Western Ontario, London, Ontario DEPARTMENT OF MATHEMATICS Applications due: 8/15/74 Bachelor's by inst. 2793 D. Borwein, Head Bachelor's by dept, 88 Teaching Assistantship (10) 600-2400 8 585 3-6 Tutorials, Master• s by dept. 6 Marking Ph. D. (1971-1973 incl.) Research Assistantship (7) 3180 8-12 585 2-6 Research A&NT 3, A&FA 2, P&S 3. Scholarship (12) 1500-5000 8-12 585 Total: 8

434 TYPE STIPEND TUITION SERVICE REQUIRED DEGREES AWARDED of financial assistance amount 9 or 12 If not Included hours type Academic year (with number anticipated 1974-1975) in dollars months in stipend (dollars) per week of service 1972-1973

University of Windsor, Windsor, Ontario DEPARTMENT OF MATHEMATICS .Applications due: 4/1/74 Bachelor's by inst, 2000 D, T. Faught, Head Bachelor's by dept. 40 Master's by dept, 10 Teaching .Assistantship (25) 1800-2400 9 600 10 * Research .Assistantship (5) 3000-4000 9 600 Ph. D. (1971-1973 incl.) .A&F.A 1, P&S 6, .AM 4, *Presiding at tutorials and marking papers. Total: 11 York University, Toronto, Ontario DEPARTMENT OF MATHEMATICS .Applications due: * Bachelor's by inst, 2223 R, .A. Schaufele, Chairman Bachelor's by dept. 55 Master's by dept, 9 Teaching .Assistantship (20) 1800-2400 9 600 10 Marking/ Tutorials Scholarship (4) 1000 9 600 10 Marking/ Tutorials *6/1/74 outside North .America; 8/1/74 all otbers,

IIIIIHIIIIIIIII,,...... llllllllllll:i::iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii •...... _ """;iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii""ii""iiii"""ii"iiiiiii"iii"""iii""iii""ii""i"i'"ii","iii"""ii""iii"""ii""iiii"""ii""iiii"""iii""iii"""iii""""iii""ii""ii""iii""i"ii""iiii""i"~i"!' THE UN:~~:!!!! :F,:~D!~!E~!~~:IAUA) ~.=i The appointee will undertake both teaching and research. The position advertised is permanent but in appropriate cases an initial three-year appointment may be made with possibility thereafter of permanency or in certain cases return fares. Salary range: Lecturer $A9,698 $A 11,982 p.a. [roughly $US 13,000 - $US 18,000 p.a.] Further information from the Registrar i UNIVERSITY OF SYDNEY I Sydney, N.S.W. 2006, Australia ill

UNIVERSIDADE DE BRASiLIA-BRAZIL The Mathematics Department of the university invites applications for positions in the areas of Statistics and Computer Science. Applicants for these positions should be Ph.D. holders with interest in research and with definite ideas about organization of courses and curricula. The department has an established Master's program; a doctoral program is under study. Its faculty consists of forty teachers of which fifteen are Ph.D. holders from leading U.S. and European universities. Please send resume to Departamento de Matematica UNIVERSIDADE DE BRASiLIA ! ! ··------~~=~=~~-~-~~=!!!!...!.~~~.!~...... , ...... , ..... ""'"'"

435

II. STIPENDS FOR STUDY AND TRAVEL Graduate Support

Ames Laboratory. Graduate assistantships. Areas of interest include computer languages, pro gramming systems for command and control, adaptive and self-organizing logic systems with appli cation 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.

*Center for Naval Analyses. 1972 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 Mr. Richard M. Doolittle, 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 recent grad uates of accredited colleges and universities in the United States who are less than thirty-five years of age and 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 presi dents) 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 among that group of women whose preparation for teaching has been post poned or interrupted. Open to women who hold bachelor's degrees from accredited U.S. institutions; have had a break of at least three years' duration when theywere neither studying nor teaching; and at the time of application not employed as full-time teachers or enroJled as full-time graduate students Thirty-five one-year appointments available each year. Renewable. Stipends depend on individual needs. Application materials and further information available from the Director, Danforth Graduate Fellowships for Women, Danforth Foundation, 222 South Central Avenue, St. Louis, Missouri 63105.

General Electric Foundation. Provides research and study grants to selected graduate institutions on a programmed, rotational basis, to be used by the 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 whom grants have been made, write to Richard E. Kramer, Jr., 1285 Boston Avenue, Bridgeport, Connecticut 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 and has demonstrated outstanding ability and promise in research in one of the mathematical, physical, or biological sciences. The period of the grant shall not exceed one calendar year. The stipend may be applied either directly to the research proj ect or to course work, provided 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 thirty-five years of age or older, but younger women should feel free to apply. Application forms and further information may be obtained from Dr. Nell Mondy, Department of Np.trition and Food, MVR Hall, Cornell University, Ithaca, New York 14850. Application form and credentials should be submitted before February 1, 1974. Announcement of awards will be made by April 1, 1974.

Daniel and Florence Guggenheim Foundation. Fellowships for U.S. and Canadian residents inter ested in jet propulsion, space flight, and flight structures. For information write to California Institute of Technology, Columbia University, and Princeton University.

*No current information.

437 Hughes Aircraft Company. Doctoral, Engineer, and Master• s Fellowship Programs, In support of academic training leading to these degrees and correlated experience developed through professional work assignments. Over 100 new awards are offered each year in various fields of engineering, mathematics, and physics. The value of the awards, including salary associated with work assign ments, ranges from $8, 500 to $13, 000 annually. U.S. citizenship is required. For further informa tion, write to Scientific Education Office, Hughes Aircraft Company, Building 100, U-614, P. 0, Box 90515, Los Angeles, California 90009.

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 or more 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 with out regard to fraternity affiliation. A candidate must be a person with high scholastic standing who is outstanding 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 March 1. 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 Cloctoral degrees in scientific fields, including mathematics, to use AEC installations at National Bureau of Standards, Oak Ridge National Laboratory, Puerto Rico Nuclear Center, Savannah River Laboratory, and Savannah River Ecology Laboratory for thesis research. An annual stipend payment of $3,000 is applicable for all levels. U.S. citizenship is required. About twenty-five appointments are awarded annually. Inquiries may be addressed to University Programs Office, Oak Ridge Asso ciated Universities, P. 0. Box 117, Oak Ridge, Tennessee 37830.

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 up to $6,000 are available; tuition will be waived. For further information, write to Professor Robert J. Blattner, Chairman, Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01002.

Mathematics Research Center. Predoctoral fellowships for U.S. citizens for graduate study in any of the Departments of Mathematics, Computer Sciences, or Statistics at the University of Wisconsin. For information, write to Professor R. Creighton Buck, Acting Director, Mathematics Research Center, University of Wisconsin, Madison, Wisconsin 53706.

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 Assistance, Bureau of Higher Education, U.S. Office of Education, Washington, D. C. 20202.

National Science Foundation. Graduate Fellowships. Available to citizens or nationals of the U.S. for full-time study leading to the master• s or doctor• s degree in science (including mathematics). Awards made only to students who have completed not more than one year of graduate studies. Sti pends of $3, 600 for a twelve-month tenure, or $300 per month, regardless of years of study; no dependency allowances. Deadline November 26, 1973. Further information and application materials may be obtained from the Fellowship Office, National Research Council, 2101 Constitution Avenue, N. W., Washington, D. C. 20418.

Population Council. Fellowships in demography. Citizenship unrestricted. Fields associated with demography, statistics, economics, and sociology, Approximately sixty fellowships are awarded. Deadline for receipt of applications December 1. Forms available from Fellowship Secretary, Popu lation Council, 245 Park Avenue, New York, New York 10017.

RCA Fellowships. Grants are for graduate study in electrical engineering, electronics, engineering physics, journalism and physics. (Journalism fellowship limited to qualified news person associated

438 with NBC affiliated stations.) Candidates are selected by appropriate officials in designated univer sities. 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 David Sarnoff Research Center, Princeton, New Jersey 08540.

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 15, 1974, for 1974-1975 academic year. Further information and application forms may be obtained from the Office of Academic Studies, Smithsonian Institution, Washington, D. C. 20560.

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, 1974. Write to Zonta International, 59 East Van Buren Street, Chicago, Illinois 60605. Postdoctoral Support

Air Force Office of Scientific Research. Research Contracts and Grants. AFOSR supports research in the mathematical and information sciences under contracts and grants with educational and nonprofit institutions, and under contracts with industrial laboratories. Interested mathematicians and other scientists are encouraged to submit proposals, through their organizations, for research in mathe matical and information science fields in which they specialize. It is helpful if proposals to be con sidered under a given fiscal year, which begins on July 1, are submitted prior to that date. Recipients of support are not required to be U.S. citizens. Research areas of interest include physical mathe matics, probability and statistics, numerical analysis, mathematical aspects of system science, con trol theory, and information science. Research proposals should be forwarded to the Director of Mathematical and Information Sciences, Air Force Office of Scientific Research, 1400 Wilson Boule vard, Arlington, Virginia 22209.

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. Applicants should state in some detail their field of specialization. Annual stipend for these appoint ments is $13, 500 for the recent recipient of the doctorate with an adjustment made for the senior can didate. 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, 1974. Inquiries cannot be processed after January 5, 1974.

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.

Argonne National Laboratory. Limited number of postdoctoral appointments for faculty members in many fields of applied mathematics and the computer sciences. Write to Dr. J. C. T. Poole, Asso ciate Division Director, Applied Mathematics Division, MGR, Argonne National Laboratory, Argonne, Illinois 60439.

Army Research Office-Durham. Research grants and contracts for basic research in mathematics, engineering, and physical, environmental and life sciences. Write to Chief Scientist, U.S. Army Research Office-Durham, Box CM, Duke Station, Durham, North Carolina 27706.

Atomic Energy Commission. Supports research in applied mathematics, numerical methods, com puter science research, and related topics at universities and other institutions. Submit proposals to the Division of Physical Research, U.S. Atomic Energy Commission, Washington, D. C. 20545.

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 $8,000 to $11,000 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

439 be proposed in the nomination after agreement between the candidate and the nominating organization. Further information can be obtained from Executive Officer, Australian Institute of Nuclear Science and Engineering, Private l\Iail Bag, Post Office, Sutherland N. S. W. 2232, Australia. Candidates must be nominated by an Australian university of 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. Awards made in several fields, including mathematics. An nual stipend for these appointments is $13, 500 for the recent recipient of the doctorate with an adjust ment 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 applications is January 15, 1974. Inquiries cannot be processed after January 5, 1974.

Brookhaven National Laboratory. Research Associates. To new Ph. D.'s. Large scale digital com puting facilities, including two CDC 6600 computing systems, are available for use by appointees. Areas of interest include probability and statistics, linear operator theory, differential and integral equations, numerical analysis and approximation theory, automata theory, and combinatorial analysis. Inquiries should be directed to Dr. Y. Shimamoto, Chairman, Applied Mathematics Department, Brookhaven National Laboratory, Upton, Long Island, New York 11973.

Courant Institute. Instructorships in Mathematics. Open to young mathematicians with doctor• s de grees who show strong promise in research. The teaching duty will consist of one course each term, of which one term will be related to the field of interest of the instructor. Appointments are for two years. The academic salary for nine months will be $11,000. 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 Instructorships, Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, New York 10012. Ap plications should be filed no later than January 1, 1974.

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 1974-1975 must be submitted before Jan uary 1, 1974. 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.

Courant Institute. The Courant Institute of Mathematical Sciences, with the support of the U.S. Atomic Energy Commission and other federal agencies, offers research assistantships to graduate students and postdoctoral research appointments. Among the chief areas of current research are probability, analysis, mathematical physics, applied mathematics, numerical analysis, and computer science. These include differential and integral equations, functional analysis, fluid dynamics, elec tromagnetic theory, wave propagation, fluid and continuum mechanics, plasma physics, kinetic theory, logic, computer design, the theory of automata, and computational complexity. Further information about these opportunities can be obtained from Professor Jerome Berkowitz, 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 in systems and operations dealing with socio-economic development problems. Research groups are encouraged to investigate problems of: their own devising within the above areas. For further information, write to Ms. Naomi J. Copeland, Executive Management Staff, Bureau for Program and Policy Coordination, Agency for International Development, Department of State, Washington, D. C. 20523.

G. C. Evans Instructorships at Rice University. For promising young mathematicians with the doc torate, primarily for new Ph. D.'s. Appointments are for two years at a salary of at least $11,000 for the regular academic year. Inquiries and applications should be addressed to Professor Salomon Bochner, Chairman, Department of Mathematics, Rice University, Houston, Texas 77001.

Feltman Research Laboratory, Dover, New Jersey. Postdoctoral and Senior Postdoctoral Research Associateships. Awards made in several fields, including mathematics. Annual stipend for these appointments is $13, 500 for the recent 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 applications is January 15, 1974. Inquiries cannot be processed after January 5, 1974.

440 J. Willard Gibbs Instructorships. Offered by Yale University to young men and women with recent 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 $12, 000 for the aca demic year. Each recipient of a Gibbs Instructorship will be given an allowance of up to $200 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 research. 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 re ceived before February 1974.

John Simon Guggenheim Memorial Foundation Fellowships. Applicant should be between 30 and 45 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 334 awards are made, averaging $11, 300 in 1973. For more information write to President, John Simon Guggenheim Memorial Foundation, 90 Park Avenue, New York, New York 10016.

The Hebrew University of Jerusalem. Postdoctoral Fellowships. Fellowships in the fields of mathe matics and computer science. Provides tax-free salary ranging from 14, 000 to 16, 000 Israeli pounds, and usually allows for round-trip passage, The applicant is required to submit his application (in let ter form) together with a detailed curriculum vitae and a list of publications, and two letters of re commendation from persons well acquainted with the applicant• s academic and research records. Fellowships are intended for persons who received their Ph. D. • s in recent years, and for those who will complete all requirements for the Ph. D. before the autumn of 1974, Application letters and let ters of recommendation should be sent to the Dean, Faculty of Science, The Hebrew University of Jerusalem, Jerusalem, Israel. Deadline is December 1, 1973. E. R. Hedrick Assistant Professorships in Mathematics. Department of Mathematics, University of California, Los Angeles, will make two appointments for the year 1974-1975, These awards will be made to mathematicians with recent Ph. D.'s who show strong promise in research. The appointment will be for two years at an annual salary of $14, 350, 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 candidates research area. Requests for applica tion forms should be sent to the Chairman, Department of Mathematics, University of California, 405 Hilgard Avenue, Los Angeles, California 90024, The deadline for applications is January 15, 1974. UCLA is an Equal Opportunity Employer.

T. H. Hildebrandt Research Assistant Professorships. Designed to provide young 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 $11, 500 for academic year 1974-1975 with good possibility of additional income during the summer. Two-year appointments and consider ation for regular faculty appointments. Applicants must have completed all requirements for Ph. D. degree when term of appointment begins. Applicants should submit completed application form and at least three letters of recommendation. Letters should contain comments on applicant• s mathe matical 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 an nounced early in February. Applications should be made to Chairman, Department of Mathematics, The University of Michigan, Ann Arbor, Michigan 48104.

Vaclav Hlavaty Research Assistant Professorships, Offered by the Department of Mathematics at Indiana University to young mathematicians with doctorates who show definite promise in research. The appointment is for three years with an academic-year salary of at least $11,300, 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 annual 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 William P. Ziemer, Chairman, De partment of Mathematics, Swain Hall East, Indiana University, Bloomington, Indiana 47401. Pref erence will be given to applications received before January 31, 1974. Affirmative action employer.

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

441 of the fellowship. The duration of each fellowship will be eleven months. Generally the stipend will be in the range of $18, 000-$20, 000, depending on qualifications. Complete applications should be received by January 15, 1974. At most two fellowships will be awarded. Notification will be made by March 15, 1974. 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. 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 1974-1975. 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 secretary 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 January 15, 1974, or as soon there after as possible.

Langle~ Research Center. Limited number of visiting appointments are available for both junior- and senior.:: evel researchers at the Institute for Computer Applications in Science and Engineering (!CASE) which is operated by Universities Space Research Association. !CASE serves as a center for inter action between Langley staff and the academic community in the areas of applied and numerical mathe matics, 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 recent Ph. D.'s for one-year appointments with possible renewal. Inquiries should be addressed to Dr. James M. Ortega, Acting Director, !CASE, Mailstop 132C, NASA-Langley Research Center, Hampton, Virginia 23365.

Lawrence Berkeley Laboratory. Limited number of postdoctoral research appointments. Topics of special interest include pattern recognition, mechanization of analytic processes, interactive graphics, and multiprogramming systems. Inquiries should be directed to Dr. James A. Baker, Mathematics and Computing Group, Lawrence Berkeley Laboratory, Building 50B, Room 3238, University of California, Berkeley, California 94720.

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 hydro dynamics, 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 op portunities 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. Write to Recruiting Department, Los Alamos Scientific Laboratory, University of California, P. 0. Box 1663, Los Alamos, New Mexico 87544.

Mathematics Research Center. Visiting research member appointments al all levels from post doctoral up, and carry visiting academic status at the University of Wisconsin. For information, write to Professor R. Creighton Buck, Acting Director, Mathematics Research Center, University of Wisconsin, Madison, Wisconsin 53706.

C. L. E. Moore Instructorships in Mathematics. Offered by the Department of Mathematics at the Massachusetts Institute of Technology. Open to young mathematicians with doctorates who show definite promise in research. The base salary will be at least $12, 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 revewable for one additional year. Applications should be filed not later than January 4 on forms obtained from the Department, 2-173, Massachusetts Institute of Technology, Cambridge, Massachu setts 02139.

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, in some cases, 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, Hampton, Virginia; Lewis Research Center, Cleveland, Ohio; Johnson Space Center, Houston, Texas; Marshall Space Flight Center, Huntsville, Alabama; and Wallops Station, Wallops Island, Virginia. Forms are available from the Associateship Office, JH 606, National Research Council, 2101 Constitution Avenue, N. W., Washington, D. C. 20418. Annual stipend begins at $13, 500. Se nior stipend variable. Deadlines for receipt of completed applications in 1974 are January 15, May 15, September 15, with announcement of awards in March, July, and November.

442 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. Awards are made in several fields, including mathematics. Tenable in the Gaithersburg, Maryland area and Boulder, Colorado. Applicants should state, in some detail, their field of specialization and should indicate area of in terest. Annual stipend for these appointments is not less than $14, 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, 1974. No materials will be distributed after January 5, 1974.

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, 1974. Appointments will be made in April for tenure to begin on or before July 1, 1974. Stipends, which are subject to income tax, will vary according to the type of appointment, but will not be less than $13,000. 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.

National Science Foundation. Research Grants. Proposals are accepted at any time, but those which contain request(s) for support during a given summer should be received by the Foundation at least six months in advance of the expected starting date of support, and, ideally, by November 1 of the preceding year. 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.

Naval Ordnance Laboratory. Postdoctoral Research Associateships. Awards are made in several fields, including mathematics. Tenable in Silver Spring, Maryland. Applicants should state, in some detail, their field of specialization. Annual stipend for these appointments is not less than $14, 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, 1974. No application material will be dis tributed after January 5, 1974.

Naval Research Laboratory. Postdoctoral Research Associateships. Awards are made in several fields, including mathematics. Applicants should state in some detail their field of specialization. Annual stipend for these appointments is $13, 500. Applications must be postmarked not later than January 15, 1974. 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.

Oak Ridge National Laboratory. Limited number of postdoctoral appointments. Applications are invited from university faculty for participation in its research, especially for the summer. Areas of interest are reactor mathematics, numerical analysis, computer programming, applied mathe matics, mathematical physics, probability, and statistics. For further information, write to Dr. RobertS. Livingston, University Relations, Oak Ridge National Laboratory, Post Office Box X, Oak Ridge, Tennessee 37830.

Ben·amin Pierce Lectureshi s. Rank of Assistant Professor. The appointments are for three years with a starting salary of 10, 500 (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 re search 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. Application forms may be obtained by writing to the Department of Mathematics, Harvard University, 1 Oxford Street, Cambridge, Massachusetts 02138, and should be filed by January 20, 1974.

Sloan Foundation. Unrestricted grants made to selected young university scientists in the physical sciences (including mathematics) and in neuroscience. Candidates in the physical sciences must be members of the regular faculty, though not necessarily in a tenured position, at a recognized college or university in the United States or Canada. In neuroscience postdoctoral fellows as well as those in junior faculty positions will be considered. Candidates do not apply but are nominated by their department chairmen or other scientists. For information write to the Alfred P. Sloan Foundation, 630 Fifth Avenue, New York, New York 10020.

443 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 sti pend, plus research expense allowance. Deadline for application is January 15, 1974 for 1974-1975 academic year. Further information and application forms may be obtained from the Office of Aca demic Studies, Smithsonian, Washington, D. C. 20560.

State University of New York at Buffalo. The Department of Mathematics will 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, 1974. At least one and not more than two Research Instructorships will be awarded for 1974-1976 with each appointment being for two years. The twelve-month stipend, beginning September 1974, is $16, 080 including generous staff benefits. Teaching load will total two one-semester courses during the twelve-month period. Upon expiration of the two-year appointment, priority consideration for a three-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 pro jected research activity, and should request three mathematicians to send letters of recommendation. Application forms are available upon request. Applications and supporting letters should be sent to Professor N. D. Kazarinoff, Chairman, Department of Mathematics, SUNY at Buffalo, 4246 Ridge Lea Road, Amherst, New York 14226, so as to arrive by January 22, 1974. Appointments will be made early in February.

Jacob David Tamarkin Instructorships. Offered by Brown University to promising young mathema ticians. Appointments are for three years, with a salary of $11,000 for the academic year. Addi tional 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 appoint ment 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 Mathe matics by January 15, 1974. Women and members of minority groups are encouraged to apply. Ap plicants should write to the Chairman, Department of Mathematics, Brown University, Providence, Rhode Island 02912.

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. Applicants should state, in some detail, their field of specialization and should indicate area of interest. Annual stipends for these appointments begin at $13,000. Senior stipend variable. More details regarding this program may be obtained from the Associateship Office, JH 606, Office of Scientific Personnel, National Research Council, 2101 Constitution Avenue, N. W., Washington, D. C. 20418. Deadline for receipt of completed applications in 1974 is January 15, with announce ment of awards in April.

U.S. Department of Health, Education, and Welfare, National Institutes for Health. Supports post doctoral and special fellows. Research in biostatistics, especially as related to health and disease. Applicant must have earned an appropriate degree and show 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 Fellowships Section, Office of Re search Manpower, Division of Research Grants, National Institutes of Health, Bethesda, Maryland 20014.

John Wesley Young Research Instructorships. Two instructorships are awarded by Dartmouth College each year. Teaching duties average six hours per week and are of a varied and nonroutine nature. The academic-year stipend of $10, 500 is supplemented by a summer research fellowship 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). Travel and Study Abroad Alliance Francaise de New York. For study in France, a limited number of scholarships for all fields of study at the graduate level. Each scholarship is in the amount of $1, 100. Applicants must be be tween the ages of 20 and 35 and have a working knowledge of French. Students currently enrolled in an American university should see the Fulbright Program Advisor on campus; students not currently enrolled in an American university should communicate with the Information and Reference Division, Institute of International Education, 809 United Nations Plaza, New York, New York 10017, or llE regional offices in Atlanta, Chicago, Denver, Houston, Los Angeles, San Francisco, and Washington, D. C. Deadline for submission of applications is November 1.

444 American-Scandinavian Foundation. Graduate fellowships to be used in Scandinavia. Applicants must be U.S. citizens who have completed their college education and must be under 40 years old. Com pleted application deadline is December 1 (November 1 for Marshall Fellowships for Denmark). Write to The American-Scandinavian Foundation, 127 East 73rd Street, New York, New York 10021.

*Foreign Area Fellowship Program. The program provides support to advanced doctoral candidates at U.S. and Canadian universities for dissertation research in Africa; the Near East; East, South, and Southeast Asia; Western Europe; Latin America; and the Caribbean. Full information on this program may be obtained by writing to the Foreign Area Fellowship Program, 110 East 59th Street, New York, New York 10022.

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 beaU. 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 aU. s. university, he must apply directly to the Ful bright Program Advisor on his campus. Unenrolled students may apply to the Institute of International Education. Further details may be obtained from the Information and Reference Services Division, Institute of International Education, 809 United Nations Plaza, New York, New York 10017.

Fulbright-Hays Program. Postdoctoral Awards. Unites 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 Committee on International Ex change of Persons, Senior Fulbright-Hays Program, 2101 Constitution Avenue, N. W., Washington, D. C. 20418. International Research and Exchanges Board (IREX). This board administers academic exchange pro grams; open to advanced graduate students, postdoctoral scholars, and faculty members in all fields of study who are United States citizens, and who are affiliated with a North American college of uni versity. Exchange agreements are in effect with Bulgaria, Czechoslovakia, Hungary, Poland, Ro mania, Yugoslavia, and the USSR. Placements are usually made for a semester or an academic year, but longer or shorter stays are possible by special arrangements. In addition to exchange fellowships, ffiEX offers ad hoc grants to promote new exchanges; grants for collaborative projects involving American scholars and their counterparts in Eastern Europe and the USSR; short-term travel grants to the USSR for scholars in the contemporary social sciences; and fellowships for preparatory area studies in the United States and Canada. For more detailed information, write to the International Research and Exchanges Board, 110 East 59th Street, New York, New York 10022.

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 de grees, or who are Ph. D. candidates. Placement possibilities now exist for the 1974-1975 academic year. These teaching fellowships are part of a service program designed to assist Latin American universities to develop more advanced technical and scientific programs. Salaries are thus geared to a moderate level rather than being competitive with North American salaries. Inquiries should be addressed to 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 1910'1'; (3) South: Suite 912, 225 Peachtree Street, N. E., Atlanta, Georgia 30303; (4) Midwest: 33 North Dearborn Street, Chicago, Illinois 60602; (5) Pacific: 9th Floor, 120 Montgomery Street, San Francisco, California 94104. National Academy of Sciences. Applications are invited from U.S. scientists who wish to make visits beginning during the period September 1974 through August 1974 to the USSR, Bulgaria, Czechos lovakia, Hungary, Poland, Romania, or Yugoslavia. Visits may be from one month to twelve months. Applications for one-month visits to the USSR may be made in alternate years, and NAS will receive them in 1973. Requirements are U.S. citizenship and the Ph. D. All necessary expenses will be met

*No current information.

445 by the NAS; salary reimbursement up to $1, 500 per month during a visit of three months or more; expenses for family on visits of five months or more. For further information, write to Office of the Foreign Secretary, USSR/EE, National Academy of Sciences, 2101 Constitution Avenue, N. W., Washington, D. C. 20418.

*Netherland-America Foundation. Graduate Study Grants. Small supplementary grants toward study in The Netherlands. Apply to the Netherland-America Foundation, Inc., One Rockefeller Plaza, New York, New York 10020.

North Atlantic Treaty Organization. Postdoctoral Fellowships. Awarded for nine- or twelve-month period, 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 $9,000 for twelve-month tenure, plus a dependency and travel allowance. Application deadline is October 29, 1974. For information and application mate rial, write to Fellowship Section, Division of Higher Education in Science, National Science Foun dation, 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 August through January from the Division of Graduate Education in Science, National Science Foundation, Washington, D. C. 20550. Deadline for receipt of applications is January 31, 1974.

*North Atlantic Treaty Organization. The NATO Science Committee makes a number of awards each year for training and education in operational research and related sciences: (1) Graduate Apprentice ships in Operational Research. To enable young scientists to receive practical training in operational research at one of a number of NATO or national centers. Normal assignment is for two years, sub ject to satisfactory completion of the first year. Applicants need not have previous experience in operational research, but they should have a scientific background with a sound basic training in math ematics. The award is $4, 500 per year, plus certain other expenses. (2) Study Visits. These awards are made to operational research scientists in NATO countries, who wish to make a "study visit" to a foreign country in order to receive advice and to discuss specific problems of immediate concern to them. (3) Visiting Experts. Provides support for a scientist who will act in an advisory capacity to a newly formed or developing operational research group in one of the NATO countries. (4) Science Fellowships. Awards are made for postgraduate academic training at overseas universities. Appli cation forms and further details about these awards, together with information about the Science Com mittee• s program of conferences in operational research, can be obtained from the Scientific Affairs Division (Operational Research), NATO, 1110 Brussels, Belgium.

Rotary Foundation. Graduate Fellowships and Undergraduate Scholarships. One academic year of study abroad for the 1975-1976 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 fellowship must be between the ages of 20 and 28 inclusive as of March 15, 1974, married or single, and have obtained a bachelor• s degree or equivalent-prior to the beginning of his fellowship year. An applicant for an undergraduate scholarship must be between the ages of 18 and 24 inclusive as of March 15, 1974, must be single, and 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, 1974.

Royal Norwegian Council for Scientific and Industrial Research. Postdoctorate Fellowships. Fields: engineering and applied sciences. Candidates should not be more than 35 years of age. 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.

*No current information.

446 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 lan guage. Polish candidates must have at least their master• s degree and preferably their doctorate, 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 following academic year. Write to Kosciuszko Foundation, 15 East 65th Street, New York, New York 10021. Alexander von Humboldt Foundation-Research Fellowships. These fellowships of 6 to 12 months are offered in order to pursue advanced academic research projects at a German university or research institute. Fields of research and citizenship are unrestricted. Amount of stipend: 'Forschungssti pendium• DM 1. 600 monthly, 'Dozentenstipendium• DM 1. 900 monthly; supplementary family allow ances, travel expenses. An extension of the original award period is possible. Applicants should furnish proof of independent teaching experience at university level or research work. They should hold a Ph. D., have sufficient knowledge of German, and, as a rule, not be older than 38. Applicants for a •Dozentenstipendium• should have outstanding academic publications to their credit. Type of research-fellowship will be fixed by the selection committee while evaluating the application. No closing dates. Applications will be accepted by the secretariat of the foundation throughout the year. Selections will be held every four months. For further information, write to Alexander von Humboldt Stiftung, D-53 Bonn-Bad Godesberg, Schillerstrasse 12, Federal Republic of Germany. Study in the U.S. for Foreign Nationals Alliance Fran<;aise 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 $1, 100. Applicants must be between the ages of 20 and 30 and have a working knowledge of English. For further information, write to Chairman of Scholarships Committee, French Institute/Alliance Franlaise, 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 and Reference Services Division, Institute of International Education, 809 United Nations Plaza, New York, New York 10017.) The number of grants for the academic year 1974-1975 will depend on funds available. Sources of Fellowship Information

Exchange Programs with Eastern Europe and the Soviet Union for 1973-1974. International Research and Exchanges Board (!REX), 110 East 59th Street, New York, New York 10022. Gives details on the programs administered by !REX which include exchanges for a semester or an academic year, short term travel grants, and awards for support of collaborative projects. s. Norman Feingold Scholarships, Fellowships, and Loans. Volume V, 1972; Volumes m and IV, 1955, 1962. Bellman Publishing Company, P. 0. Box 164, Arlington, Massachusetts 02174. Detailed lisfof financial aid sources. Volume V has a new and improved index that greatly facilitates finding awards.

Fellowship and Research Opportunities in Mathematical Sciences, 1973-1974. Division of Mathema tical Sciences, National Research Council, 2101 Constitution Avenue, N. W., Washington, D. c. 20418. Lists fellowships and grants available from various U.S. Government agencies and bureaus.

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 IIE for U.S. citizens.

Scholarships, Fellowships and Loans News Service. The Staff, Bellman Publishing Company, P. 0. Box 164, Arlington, Massachusetts 02174, published quarterly, $20 per year. Up-to-date informa tion regarding student financial aid. Annotated bibliography of books and professional journals.

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., Washing ton, D. C. 20418. Contains a list of fellowships available on the undergraduate, graduate, and post doctoral levels plus a bibliography giving other sources of information on fellowships, scholarships, and loans.

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. 447

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. 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 r!loeived as a scholarship or fellowship grant. Whether the amounts received are in fact a scholarship or fellowship grant, i.e. , are paid for the primary purpose of furthering the recipient's education and training, is a conclusion reached by the Internal Revenue Service on the basis of the facts In a particular case. "Section 117(b) (1) of the Code provides that in the case of individuals who are candidates for a degree the ex clusion from gross income shall not apply to that portlon of any amount received as payment for teaching, re search, or other services in the nature of part-time employment required as a condition to receiving the scholar ship or fellowship grant. However, if teaching, research, or other equivalent services are required of all cand idates for a partlcular degree as a condition to receiving the degree, such teaching, research, or other services shall not be regarded as part-time employment. "In situations where research is required of all degree candidates, but 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 performed for the primary purpose of furthering the students' education and training, the Service would conclude that stipends 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 candi date, at the time he performs the service, represents compensation for services rendered which is includable in the recipients' gross income." To help expedite the processing of returns, two forms are given below 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 exclusion.

Application for total exclusion of stipend from gross income

TO WHOM IT MAY CONCERN:

During the calendar year 19_ -...,.----::-~..-~---- served as a Research Assistant in the Depart (name of student) ment of'------at ---,-.....,..---,,.---,~--:------from _____to. _____ (university or college) He was paid a stipend of$ for his services. The funds were derived from======-=' (description of grant/contract) At the same time, he was a candidate for the degree of • The research which he performed under this arrangement met, in part, the requirements for this degree.

Equivalent research is required of all students working for this same degree at._,.---,--.,,---....-=.,-- (university or college) regardless of whether or not they are compensated for their services.

Application for partlal exclusion from Federal Income Tax TO WHOM IT MAY CONCERN:

During the calendar year 19_ ---:,-----,,.....,.....,--,.,---- served as a'----:;---:-:-:--,------(name of student) (position) in the Department of------at·---,--:---=:----o--;;-=:------from'------ (university or college) to. _____.• He was paid a stipend of $._____ . The funds were derived from • (description of grant/contract) At the same time he was a candidate for the degree of----- During this period the candidate spent approximately (a) ___ percent of his working time-======:':"'"----'' which is not required for the degree, (assigned duties) and (b) ___ percent 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 (university or college) their services.

449 Instead of paying one stipend to those students who are actually being·paid for services on a part-time basis, and then requesting a partial exclusion for the time spent on degree requirements, it is suggested that the univ ersity 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, and on this a total exclusion could be requested.

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 bulk 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.

450 INDEX OF ABSTRACTS Volume 20 (1973) AANDERAA, St!J. and GOLDFARB, Warren D. Finite lams in the calculus of variations, A-164. controllability of the Maslov case, A-447. ALLDAY, Christopher J. Torus actions on compact ABHYANKAR, Shreeram and SATHAYE, Avinash. On Poincare duality spaces, A-187. space curves as complete intersections, A-383. ALLEN, Graham D. Spectral multiplicity, A-377. ABIAN, Alexander. Convergent subsequences of gener ALLEN, Harry Prince. Characters on coalgebras. alized sequences of sets, A-285; A property of entire Preliminary report, A-362. transcendental functions, A -328; Conditional completion ALLINGER, Glenn D. and HENRY, Myron S. Approxi of rings without nilpotent elements, A-418; On the Weier mation solutions of functional differential equations. II. strass approximation theorem, A-488; Direct product de Preliminary report, A-577. composition of alternative rings, A-632. ALO, Richard A. See de KORVIN, Andre. ABU-ZAHRA, Said Salim. Directions of Borel, lines of ALO, Richard A. and de KORVIN, Andre. Topologies Julia and the local Phragmen-Lindelof indicator, A-107. for Banach spaces, A-180. ACZEL, Janos D. Determination of all additive quasi ALO, Richard A., CHENEY, Charles A. and de KORVIN, arithmetic mean codeword lengths, A-496. Andre. A Lebesgue decomposition property, A-493. ACZEL, Janos D. , FORTE, Bruno and NG, C. T. Why ALO, Richard A., de KORVIN, Andre and KUNES, the Shannon and Hartley entropies are •natural•, A-496. Laurence E. Operators with range in L(X, Y), A-272. ADAMS, David R. On the exceptional sets for spaces of ALO, Richard A., ROBERTS, Charles and de KORVIN, potentials, A-570. Andre. Relations between averaging operators for I(J ADAMS, Michael E. Implicational classes of pseudo and its restriction in a Banach function space setting. complemented distributive lattices. Preliminary report, Preliminary report, A-436. A-560. ALPERIN, Roger c. Whitehead torsion for finite abelian ADAMSON, Alan A. A two-cardinal property of first groups, A-96. order theories. Preliminary report, A-501. ALPHARD, David. On nearly normal operators, A-16. ADLER, Andrew and WILLIAMS, R. Douglas. Ideals in ALTHOEN, Steven C. A Seifert-vanKampen theorem rings of continuous and analytic functions, A-529. for the second homotopy group. Preliminary report, AGARWAL, Arun K'umar. On the geometric means of an A-609. entire function of two complex variables, A-116. ALTSHULER, Zvi, CASAZZA, P. G. and LIN, Bor-Luh. AGRAWAL, Jagdish C. See MANICKAM, S. On symmetric basic sequences in Lorentz sequence ---. See PISONE, Katheleen. spaces, A-142. ---. See ROSS, Patricia. AMELIN, Charles F. The bioperative numerical range. AHLUWALIA, Daljit S. A uniform asymptotic analysis Preliminary report, A-158. of dispersive wave motion, A-372. AMUNDSON, Neal R. Two problems in chemical reactor AHMAD, Shafaat. On implicational completeness, A-414; theory of mathematical interest, A-612. Semifunctional homomorphic relations. Preliminary re ANANTHARAMAN, R. On a vector-valued measure as port, A-561; Algebraic domains and Fermat• s last theo a map. Preliminary report, A-331. rem. Preliminary report, A-629. ANDERSON, Bruce A. A combinatorial problem arising AIKEN, John G. A perturbation property of W* algebras, in topology, A-322; A method of finding perfect 1-factor A-267. izations. Preliminary report, A-424. AIKEN, John G., GLASER, Marlene and GRIFFIN, Er ANDERSON, C. K. McKNIGHT, C. K. and HYAMS, nest. On the uniqueness of a hyperfinite ll00 factor. W. H. Center points of sequences. Preliminary report, Preliminary report, A-529. A-151. AIZLEY, Paul. Formulas involving numerical functions. ANDERSON, David H. Multipliers on Banach modules, Preliminary report, A-56. A-146. AKEMANN, Charles A. , ELLIOTT, George A. , PEDER ANDERSON, R. D. A survey of recent results in infinite SEN, Gert K. and TOMIYAMA, Jun. Derivations and dimensional topology, A-184. multipliers of C*-algebras, A-603. ANDERSON, Theodore W. Asymptotic expansions of AL-AMILI, N.M.J. and NAOUM, Adil G. Maximal irre distributions of estimates of angles in a functional :cela ducible spaces, A-597. tion. Preliminary report, A-537. AL-AMffii, Hassoon s. On the radius of starlikeness of ANDERSON, William N., Jr. and TRAPP, George E. certain analytic functions. Preliminary report, A-105. Monotone matrix operations, A-71. ALBERTSON, Michael 0. The case of equality in the ANDREWS, George E. On the Alder polynomials and a number of admissible boundary colorings, A-382; The new generalization of the Rogers-Ramanujan identities, independence number of a planar graph, A-424. A-57; Application of basic hypergeometric functions, ALEX, Leo J. Index two simple groups, A-520. A-392. ALEX, Leo J. and KELLER, Gordon E. Integral solu ANDRUSHKIW, Roman. On a theorem of Kryloff and tions of 1 + 2a3b7c = 2d3e7f + 2g3h7i, A-602. Bogoliubov, A-374. ALEXIADES, V. and SABHARWAL, Chaman L. On the ANGER, Frank D. Prelattices and vector prelattices. extension of Lebesgue measure. Preliminary report, Preliminary report, A-356. A-520. ANTON, Howard and PERVIN, William J. Metrization AL-HASHIMI, Basil, BRENNEMAN, Franklin S. and over Tychonoff semifields, A-181. HERZ, Gail C. Reduced powers in cotorsion. Prellm APPEL, Kenneth I. Computing configurations, A-385. inary report, A-318. APPLING, William D. L. A C-set characterization ALI, Ziad S. (N,Pnl summabllity of Fourier series, A- theorem, A-9; Further remarks on a finitely additive 270; Absolute Norlund summability of Fourier series. analogue of Fubini' s theorem, A-101; Continuity and Preliminary report, A-326. upper and lower integrals, A-264; Concerning duals of ALIPRANTIS, C. D. Some order and topological pro linear C-sets, A-324; Homogeneity and continuity pro perties of locally solid linear topological Riesz spaces. perties of upper and lower integral difference functionals, Prellminary report, A-141. A-425; Refinement continuity, A-482; A convergence ALLAN, Nelo D. Heeke algebras of nonprincipal con theorem, A-570. gruence subgroups. Preliminary report, A-70. ARKIN, Joseph. The generalized Fibonacci number and ALLARD, William K. Some unsolved regularity prob- its relation to Wilson• s theorem, A-361; A solution to the

A-693 classical problem of finding systems of three mutually BAILEY, Keith D. Extending closed plane curves to orthogonal numbers in a cube formed by three superim immersions of a disc with n handles. Preliminary re posed 10 x 10 x 10 Latin cubes, A-513. port, A-400. ARMENDARIZ, Efriam P. and FISHER, Joe W. Regular BAJAJ, Prem N. Semicompactness in semidynamical P.I. -rings, A-73. systems, A-524. ARNOLD, Jimmy T. The dimension sequence of a com BAJPAI, S. K. Two convexity theorems for certain mutative ring, A-7. classes of analytic functions. Preliminary report, ARNOLD, Jimmy T. and GILMER, Robert. Dimension A-268; On the univalence of some analytic functions, theory of commutative rings without identity. Prelimi A-429; The order of starlikeness of a -starlike func nary report, A -64 7. tions, A-491. ARNOLD, Jimmy T., GILMER, Robert and HEINZER, ---. See JUNEJA, 0. P. William J. Some countability conditions in a commutative BAJPAI, S. K. and MEHROK, Tajindar Jit Singh. ring. Preliminary report, A-651. On regions of a -convexity for subclasses of star AROKIARAJ, L. R. See PUTTASWAMY, T. K. like functions. Preliminary report, A-484. ARSOVE, Maynard G. and LEUTWILER, Heinz. Alge BAJPAI, S. K. and SILVIA, Evelyn Marie. On certain braic potential theory. Preliminary report, A-366. classes of analytic functions. Preliminary report, A-107. ARTEMIADIS, Nicolas. A necessary and sufficient con BAJPAI, S. K. and TANNE, Joseph A. Analogues of dition for the Fourier transform of a function in L1 to be entire function inequalities for an analytic function, A-580. in L1 A-134 BAJPAI, S. K., TANNE, Joseph A. and WHITTIER, D. ASCHBACHER, Michael. Generalized strongly embedded Entire function analogues for analytic functions in the subgroups, A-94. disc. Preliminary report, A-483. ASENJO, F. G. See TAMBURINO, J. BAKER, James D. Representation of linear functionals ASH, C. J. Sentences with finite models, A-282. on quasi-continuous functions, A-103. ASH, J. Marshall and GLUCK, Lawrence. Generaliza ---. See WRIGHT, Fred M. tions of Plessner• s theorem to multiple trigonometric BAKER, John W. A continuation theorem for a damped series. Preliminary report, A-134; Counterexamples to and forced nonlinear differential equation. Preliminary Carleson' s and Plessner' s theorems for multiple Fourier report, A-659. series. Preliminary report, A-426. BAKER, John Warren. Dispersed images of topological ASH, Peter F. Singular integral operators of complex spaces and uncomplemented subspaces of C(X), A-148. homogeneity. Preliminary report, A-138. BALDONI, Maria Welleda. An example of a lacunary ASKEY, Richard A. Some new positive sums and in set for a noncommutative group, A-433. tegrals, A-387; Convolution structures for Laguerre BALDWIN, John T. Algebraic and logical properties of polynomials, A-389. Horn theories categorical in some infinite power, A-33. ASNER, Bernard A. and HALANAY, Aristide. Delay BALDWIN, John T. and BLASS, Andreas R. Skolemiz feed-back using derivatives for minimal time linear con ation and categoricity. Preliminary report, A-588. trol problems, A-659. BALDWIN, Joseph. A nonsymmetric property of capac ASTOR, Peter H. and DURIS, Charles S. Discrete L ities, A-204. splines. Preliminary report, A-368. BALL, B. J. and SHER, Richard B. A theory of proper ATALLA, Robert E. Characterizations of peak sets. shape for locally compact metric spaces, A-293. Preliminary report, A-368. BALLEW, David W. Hereditary orders and their idem ATKIN, Arthur 0. L. Computations with modular forms, patents, A-253. A-62. ---. See CASE, Janell R. ATKINS, John M. A note on metacompact developable BANCHOFF, Thomas F. Polygonal methods in global spaces, A-454; Finite-to-one open pre-images. Pre curve theory, A-397. liminary report, A-533. BANCHOFF, Thomas F. and STRAUSS, Charles M. ATKINS, John M. and GITTINGS, Raymond F. 11-refin Computer graphics investigation of z3 = w2 in Euclidean ability and local properties, A-288. 4-space. Preliminary report, A-165; Real time com ATKINSON, Kendall E. Convergence rates for approxi puter graphics techniques in geometry, A-531, mate eigenvalues of compact operators. Preliminary BANDY, C. L. A characterization of Hurewicz spaces. report, A-583. Preliminary report, A-289, AUERBACH, Bruce. See LASKAR, Renu. BANDYOPADHYAY, Utpal K. and BUSTOZ, Joaquin, Jr. AUERBACH, Bruce and LASKAR, Renu. Independence Summability matrix operators on C({jN-N), A-131. numbers of complementary graphs, A-45; On complemen BANG, Chang Mo and MANDELBERG, Kenneth I. Finite· tary graphs with no isolated vertices, A-563. basis theorem for rings and algebras satisfying a central AULL, Charles E. A generalization of a theorem of condition, A-652. Aquaro, A-171; A note on k spaces. Preliminary report, BAOUENDI, M. S. and GOULAOUIC, C. Cauchy prob A-533. lems with characteristic initial hypersurface, A-616. AUST, Catherine C. Primitive elements and one relation BARKER, G. P. and SCHNEIDER, Hans. Algebraic algebras, A-653. Perron-Frobenius theory. I, A-471; Algebraic Perron AWTAR, Ram. Lie structure and derivations in prime Frobenius Theory. II, A-559. rings, A-2. BARNARD, Roger W. See LEWIS, John L. AZUMAYA, Goro. Some properties of TTF-classes. BARNARD, Roger W. and LEWIS, John L. A counter Preliminary report, A-5; A theorem on T-nilpotent example to the two thirds conjecture. Preliminary re ideals. Preliminary report, A-415. port, A-107. BACHELIS, Gregory F. Multipliers of LP which vanish BARNHART, Richard Dee. Automorphisms of handle at infinity, A-394. bodies. Preliminary report, A-672. ---. See McCOY, James W. BARROW, David L. Thickness of shock waves in sys BACHMAN, George. See BECKENSTEIN, Edward. tems of conservation laws. Preliminary report, A-128. BACON, Phyrne Youens. Coordinated Hjelmslev planes. BARTH, Karl F. Meromorphic functions with specified Preliminary report, A-337. asymptotic values. Preliminary report, A-108. BAERNSTEIN, Albert II. A generalization of the cos BARTH, Theodore J. The equivalence of the hyperbolic trp theorem, A-108; Integral means of univalent func analytic geometries of Kaup and Wu, A-114. tions, A-613. BARWISE, Kenneth Jon. Nonstandard arithmetic and BAGBY, S. Thomas and ZIEMER, William P. Pointwise nonstandard analysis. Preliminary report, A-339. differentiability and absolute continuity. Preliminary BASENER, Richard F. A generalization of the Shilov report, A-483. boundary of a uniform algebra. Preliminary report, BAGCHI, Kalyan Kumar. See MUKHERJEE, Sukla. A-484. BAGCHI, Kalyan Kumar, MUKHERJEE, Sukla and BASH, David W. and MATHEWS, John H. Concerning DEBNATH, Lokenath. Effect of surface tension on time normal functions. Preliminary report, A-521. dependent wave motions in a viscous fluid, A-19. BASTIAN, Joseph J. Subnormal weighted translation BAGLA, K. L. See RATHY, R. K. operators, A-156.

A-694 BATEMAN, Paul T., BROWN, John W., BOROSH, Itshak monotonicity, A-632. and LAGRANGE, Jean. Multiplicative arithmetic func BERMAN, Abraham and KOTZIG, Anton. The order of tions related to representation of integers as sums of cyclicity of a (0, 1) matrix, A-565. squares, A-60, BERMAN, Abraham and PLEMMONS, Robert J. Inverses BAUER, W. and KARLOVITZ, Les A. An alternate ver of nonnegative matrices, A-566, sion of the Kuhn-Tucker theorem, A-279. BERMAN, Elizabeth A. The standard identity and BAUMGARTNER, James E. Ineffability properties of matrices, A-75. cardinals. I, A-502. BERMAN, Simeon M. Excursions of stationary Gaussian BAXLEY, John V. On singular perturbations of nonlinear processes above high moving barriers, A-200. two-point boundary value problems, A-659; Variations on BERNARDI, Salvatore D. The radius of univalence and a theme of Coddington and Levinson, A-678. starlikeness of certain classes of analytic functions, BEALS, Richard W. Some new classes of pseudodiffer A-332; New distortion theorems for functions of positive ential operators and weighted Sobolev spaces, with ap real part and applications to univalent convex functions, plications to hypoellipticity, A-614. A-490, BEARD, Jacob T. B., Jr. and WEST, Karen I. A soft BERNDT, Bruce C. Modified Dedekind sums. Pre ware package for factoring in G F[q, x]. Preliminary re liminary report, A -60. port, A-651. BERNFELD, Stephen R., BECKMAN, R. B., and BEASLEY, Eugene Thomas, Jr., and GIBSON, Peter M. ZATZMAN, M. Modeling the efficiency of the kidney, A relationship between characteristic values and vectors, Preliminary report, A-669. A-653. BERNFELD, Stephen R., LAKSHMIKANTHAN, V. and BEASLEY, Leroy B. and CUMMINGS, Larry J. Non LEE LA, S. Perturbations of functional-differential singular matrix groups for which the permanent function equations with nonuniform stability behavior, A-372. is multiplicative, A-72. BERNHART, Frank. An approach to conbinatorial BECK, Milton F. and BERRI, Manuel P. A character planarity, Preliminary report, A-39, ization of subsets of the real line in which every contin BERNSTEIN, Allen R. and WATTENBERG, Frank A. uous function is uniformly continuous, A-175. Cardinality dependent properties of topological spaces, BECKENBACH, Edwin F. The neural image of a minimal A-184. surface, A-168. BERRI, Manuel P, See BECK, Milton F. BECKENSTEIN, Edward, BACHMAN, George and BERRY, John W. N-ary almost recursive functions, NARICI, Lawrence R. Algebras of continuous functions A-445. over valued fields, A-151. BERTHIER, Denis. Stability, products, groups, A-587. BECKER, David N. See FRANKLIN, James M. BETH, Thomas. Algebraic resolution algorithms for BECKMAN, R. B. See BERNFELD, Stephen R. some infinite families of 3-designs. Preliminary re BEEM, R. Paul. A splitting theorem for Poincare duality port, A-261. algebras. Preliminary report, A-187. BEVIS, Jean H. Application of gerbiers to classifying BEER!, C. There is a Nonerasing Stack Language which edge sequences in nets, A-38. is polynomial-complete, A-585, BHARUCHA-REID, A. T. See CHI, Chun-Ping G. BEHRENS, Dale W. Adjunction spaces and k-spaces, ---. See GILL, Tepper. A-176. BHASKARAN, M. A law of decomposition for nonabelian BEKES, Robert Andrew. Conditions under which anal extensions. Preliminary, report, A-421; On the class gebra containing a compact operator is selfadjoint. Pre number of the field Q(a17r). Preliminary report, A-476; liminary report, A-145. Some remarks on the decomposition of a rational ·prime BELINFANTE, Johan G. F. Filter divisibility in quantum in a Galois extension. II. Preliminary report, A-630. mechanics, A-212; Anisotropic Lie algebras, A-384; BHATTACHARYYA, S, P. and JAIN, S, K. Magneto Subspaces of transition probability spaces. Preliminary hydrodynamic convection in an infinite channel, A-639. report, A -668. BILYEU, Russell G. A uniform boundedness principle BELL, Howard T. Order summability and almost con for the metric half-space topology, A-141; Maximal pro vergence, A-129. jections, extensions of contractions, and orthogonal de BENDER, Edward A. A lifting theorem for formal power compositions in Banach spaces, A-529. series, A-39. BIRTEL, Frank T. Holomorphic approximation, A-13. BENNETT, Grahame, Absolutely summing operators on von BITTER RUCKER, Rudolf. Truth and infinity, Pre Hilbert space, Preliminary report, A-326; An extension liminary report, A-444. of the Dvoretsky-Rogers theorem, A-431. BLACKBURN, Norman. Theorems on counting subgroups BENNETT, Harold R. Developability via a certain cover. of finite p-groups, A-383. Preliminary report, A-344. BLAKE, Louis H. First order games which become BENNETT, Larry F. and THIEL, Anne. Abstract in fairer with time, A-200. tegration theory. Preliminary report, A-102. BLAND, Paul E. Perfect torsion theories, A-320. BENSON, Donald C. Comparison theorems for a class BLANK, S. J, Extensions of real valued functions with of second order nonlinear ordinary differential equations, out critical points. Preliminary report, A-400, A-523. BLASS, Andreas R. See BALDWIN, John T. BENZINGER, Harold E. A biorthogonal expansion re BLASS, Josef. Points of order 13 on elliptic curves, lated to the zeros of an entire function, A-394. A-319. BERAHA, Sami. B7 and B10 are limit points of chro BLATTER, Jorg. Quasi-proximities and order com matic zeros, Preliminary report, A-5. pactifications, A-594. BERENSTEIN, Carlos A. and DOSTAL, Milos A, Ex BLEICHER, Michael N. and ERDOS, Paul. The number ponential polynomials in several complex variables. of distinct subsums of 1 + 1/2 + 1/3 + 1/4+... +1/N, Preliminary report, A-492. A-516. BERG, Gordon. See RICHMAN, Fred. BLEICHER, Michael N., SCHNEIDER, Hans and BERGER, Neil E. Estimates for the derivatives of the WILSON, Robert L. Permanence of identities on al velocity and pressure in shallow water flow and approx gebras, A-420; Permanence of identities on algebras, imate shallow water equations, A-439. A-477. BERGLUND, John F. Weakly almost periodic functions BLEICK, Willard E. and WANG, Peter C. C. Asympto depending uniformly on parameters. Preliminary re tics of Stirling numbers of the second kind, A -3 8; Unique port, A-136. maximum property of the Stirling numbers of the second BERGMAN, Stefan, Use of computer graphics visualiz kind, A-39. ing objects of the theory of functions. Preliminary re BLOOM, Clifford 0. and KAZARINOFF, Nicholas D. port, A-522. Energy decay estimates for solutions of second order BERKOWITZ, Harry W. and ROY, Prabir. On general hyperbolic equations. Preliminary report, A-127. positioning, Preliminary report, A-193, BLUM, Edward K. Gradient techniques for computation BERMAN, Abraham. Nonnegative matrices which are of stationary points, A-208. equal to their generalized inverse, A-563; Matrix group BLUM, Joseph, The density of square permutations in

A-695 the symmetric group, A-48. a ~{j and further consequences of a set theory lemma. BLUMENTHAL, Robert M. Stopping time constructions, Preliminary report, A-178; A metric space derivative. A-355. Preliminary report, A-608. BOGART, Kenneth P. The Mobius function of the domi BRAUER, George U. Summability integration. Pre nation lattice, A-39. liminary report, A-611. BOGART, Kenneth P. and LONGYEAR, Judith Q. Count BRAUNER, Kalman G., Jr. Topological groups and ing 3 by n Latin rectangles, A-474. locally convex Hopf algebras. Preliminary report, BOGDA, Richard A. On the growth of analytic functions, A-150; Duals of Frechet spaces and a generalization of A-395. the Banach-Dieudonne theorem. Preliminary report, BOGDA, Richard A. and SHANKAR, Hari. On the proxi A-459. mate order of analytic functions. Preliminary report, BRAVY, Steve. A characterization of semisimple rings A-579. as rings with ace and "enough" projectives, A-420. BOGO, J. and KUYK, Willem. Heeke operators for BRAWLEY, Joel V. and CARLITZ, Leonard. A char G(.J2) and G(.J3). Preliminary report, A-632. acterization of the n x n matrices over a finite field, BOHUN-G:!IUDYNIV, Boris. On generalized associative A-80. and nonassociative quadruple systems, A-363. BRAWLEY, Joel V., CARLITZ, Leonard and LEVINE, ---. See BOHUN-CHUDYNIV, Volodymyr. Jack. Power sums of matrices over a finite field, BOHUN -CHUDYNIV, Volodymyr. On loops elements of A-654. which are permutations. Preliminary report, A-83. BRAYTON, R. K., COPPERSMITH, Don and HOFFMAN, BOHUN-CHUDYNIV, Volodymyr and BOHUN-CHUDYNIV, A. J. Self-orthogonal latin squares, A-513. Boris. Structure of abelian and nonabelian cyclic BRENNEMAN, Franklin S. See AL-HASHIMI, Basil. G-loops. Preliminary report, A-363. BRENNER, J. L. Covering theorems for finite non BOISEN, Monte B., Jr. and LARSEN, Max D. On Priifer abelian simple groups. IT, A-3; Maximal ideals in the rings as images of Priifer domains, A-67. near ring of polynomials modulo 2, A-249; Covering BOISEN, Monte B., Jr. and SHELDON, Philip B. Valu theorems for nonabelian simple groups. IV. Preliminary ation structure of homomorphic images of Prufer do report, A-314. mains, A-479; Some necessary conditions for pre-Priifer BRENNER, J. L. and CARLITZ, Leonard. Covering domains. Preliminary report, A-657. theorems for finite nonabelian simple groups. III, A- BOLAND, Philip J. and DINEEN, Sean. Convolution 346. operators on G-holomorphic functions in infinite dimen BREWER, James W. and HEINZER, William J. Ideals sions. Preliminary report, A-437. I of R[X] for which R[X]/I is R-projective, A-481. BOLAND, W. Robert and NELSON, Paul, Jr. Ordinary BREWER, James W. and MONTGOMERY, Philip R. differential equations in neutron transport theory, A-664. The finiteness of I when R[X]/I is projective, A-260. BOLSTEIN, Richard. Sets of points of discontinuity, BRICKMAN, Louis and WILKEN, Donald R. Support A-101. points of the set of univalent functions, A-12. BOND, Robert J. When does the Galois group determine BRIGGS, James M. Principal ideals in F-algebras. the field? The function field case, A-422. Preliminary report, A-140. BONNEAU, Richard J. A class of finite computation BRILLHART, John. Primality testing in certain Lucas structures supporting the fast Fourier transform. Pre sequences, A-60. liminary report, A-373; Polynomial exponentiation: The BRITTON, Otha L. On the primitive ideal space of a Fast Fourier Transform revisited. Preliminary report, twisted group algebra. Preliminary report, A-145. A-564. BRIZOLIS, Demetrios. Ideals of rings of integer-valued BOONE, James R. A characterization of metacompact polynomials. Preliminary report, A-63. ness in the class of IJ-refinable spaces, A-290; An ex BRODSKY, Isadore. Preservation of closure in a locally ample relating to Arhangelskii• s class MOBI, A-343. convex space, A-152. BOONE, James R. and SIWIEC, Frank E. Sequentially BRONIKOWSKI, Thomas A. Dependence of a nonlinear quotient mappings, A-598. integrodifferential system on parameters, A-527. BORGER, Egon. An undecidable class of Krom formulae BROSAMLER, Gunnar A. The asymptotic behaviour of with only one predicate symbol. Preliminary report, certain additive functionals of 1- and 2-dimensional A-21; Reduction classes of Krom formulae with only one Brownian motion, A-287. predicate symbol and function symbols. Preliminary re BROUSSEAU, Andre R. Numerical and statistical port, A-286. analysis: A computer oriented approach, A-539. BOROSH, Itshak. See BATEMAN, Paul T. BROWN, A. and SCHREMMER, A. Model theory as an BORWEIN, David and RIZVI, Jawaid H. Tauberian introduction to mathematics. Preliminary report, A-294. theorems for product methods, A-431. BROWN, David E. Separation by valuations on regular BOTTORFF, Gerald A. On the singular series for rings of quotients, A-67. quaternary quadratic forms which represent zero BROWN, Donald J. A nonstandard representation of 2-adically, A-4; Linear recurrence, A-362. continuous economies: The equivalence theorem. Pre BOULDIN, Richard H. Positive approximants, A-157. liminary report, A-34; The lattice of prefilters, A-473. BOWEN, Kenneth A. Elementary notations for ordinals BROWN, Ezra. Class numbers of real quadratic num and formulas. Preliminary report, A-284; Model theory ber fields, A-652. for modal predicate calculi. Preliminary report, A-504. BROWN, Jack B. A topological Batre space in which BOWMAN, Robert H. Manifolds of constant second order Blumberg's theorem fails, A-289; Baire• s and Reed• s curvature, A-169. convergence criteria in totally nonmeagre spaces, A-675. BOWMAN, Thomas T. The semUattice ~f left transla BROWN, John W. See BATEMAN, Paul T. tions of a compact semilattice, A-673. BROWN, Patrick M. Bergman operators for a class of BOWNDS, J. M. and CUSHING, Jim M. On preserving fourth order parabolic equations. Preliminary report, stability of Volterra integral equations under a general A-127. class of perturbations, A-428. BROWN, Richard C. The adjoint and generalized in BOYTE, James M. Analogous characterizations of verse of a linear system with general boundary condi countable paracompactness and paracompactness. Pre tions, A-276; Duality theory for nth order differential liminary report, A-506. operators under nonstandard boundary conditions, A-487; BRADLEY, JohnS. and EVERITT, William N. In Adjoint domains and Lg splines. Preliminary report, equalities associated with regular and singular problems A-569. in the calculus of variations, A-122. BROWN, Robert F. Fixed points of endomorphisms of BRAND, Daniel. Completeness of paramodulation with compact groups, A-453. out functionally reflexive axioms. Preliminary report, BROWN, Ronald P. Tamely ramified extensions of A-333. valued fields. Preliminary report, A-64. BRANDSTEIN, Alfred. Functions of modulus 1 in BROWN, S. H. On subdirectly irreducible rings. Pre R2(X, dx dy). Preliminary report, A-12. liminary report, A-655. BRAUDE, Eric John. Every compact ~-Souslin set is BROWN, Terrence J. Modular geometric incidence

A-696 structures. Preliminary report, A-48. matrices. Preliminary report, A-657. BRUALDI, Richard A. and FOREGGER, Thomas H. BUTTON, Robert W. Monads for regular and normal Packing boxes with harmonic bricks. Preliminary re spaces, A-644. 1 port, A-36. BYERS, Robert B. On a strengthened form of the 4 BRUCK, Ronald E. A common fixed point theorem for a theorem for univalent functions, A-327. commuting family of nonexpansive mappings, A-573. BYNUM, William Lee. Normal structure in Banach BRUER, Leon C. Towards a more rigorous logical spaces. Preliminary report, A-140. foundation for mathematical analysis, A-286. BYRNE, Charles L., Jr. Isometries of arbitrary Lp BRUNNER, Hermann. Solution of the Abel equation by spaces that commute with Stone• s operation. Preliminary interpolation and uniform approximation, A-538. report, A-274. BRYANT, John L. Approximating codimension one sub CAIDLL, Rotraut. Bounded harmonic functions defined manifolds with 1-LC embeddings, A-28. in the unit disc which have nontangential limit at each BRYLAWSKI, Thomas H. Modular constructions in point of the unit circle. Preliminary report, A-10. combinatorial geometries, A-40. CAICEDO, Xavier. Isomorphism theorems in categories. BUCHE, Arvind B. On an exponential-cosine operator Preliminary report, A-4. valued functional equation, A-277. CAIN, Bryan E. A two-color theorem for analytic maps BUCKHIESTER, Philip G. Rank r solutions to the matrix in mn, A-69. equation x.AXT: C, A nonaltemate, over GF(2Y), A-1; CAIN, George L., Jr., and KASRIEL, Robert H. Fixed Rank r solutions to the matrix equation XAXT = C, A and periodic points of local contraction mappings on alternate, over GF(2Y), A-70. probabilistic metric spaces, A-675. BUCKHOLTZ, James D. See SHAW, John K. CALLAHAN, Francis P. A "series inversion" formula BUCKHOLTZ, James D. and SHAW, J. K. A charac in a purely inseparable field, A-361. terization of completely convex functions, A-663. CALLAHAN, Willie R. Numerical results substantiating BUCKLEY, James J. Ln-spaces for set-valued maps. theory for plates bounded by elliptical and hyperbolic Preliminary report, A-104. cylinders of varying thickness, A-211; Flexural vibrations BUMBY, RichardT. Group rings without zero divisors. of variable thickness plates in parabolic coordinates, Preliminary report, A-359. A-542. BUNTINAS, Martin G. Sectional density and approximate CAMERON, R. H. and STORVICK, D. A. Two related identities in summability fields, A-131. integrals over spaces of continuous functions, A-615. BUONOMANO, Vincent. A new interpretation of the CAMILLO, Victor P. Distributive modules, A-519. special theory of relativity, A-496. CAMPBELL, Douglas M. and ZIEGLER, Michael R. BURCHARD, Hermann G. and HALE, Douglas F. Direct Argument of the derivative of linear-invariant families and converse theorems for piecewise polynomial approx of finite order and the radius of close-to-convexity, imation on optimal partitions. Preliminary report, A-106. A-277. CANNON, James W. Taming cellular decompositions BURDICK, Gary R. On a ratio of a univalent function. of manifolds. Preliminary report, A-192. Preliminary report, A-109. CANNON, John R., HENRY, Daniel B. and KOTLOW, BURGESS, Walter D. and RAPHAEL, R. M. Abian• s Daniel B. Existence of classical solutions of a one order relation and orthogonal completions for reduced dimensional two-phase Stefan problem, A-616. rings, A-322. CANNONITO, Frank B. See GATTERDAM, Ronald W. BURIOK, Gerald M. The evolution of harmonic measure. CANTOR, Murray R. Existence and uniqueness of Preliminary report, A-113. short-time solutions to the Euler equations for a perfect BURKE, Dennis K. and LUTZER, David J. Hereditarily fluid on mn. Preliminary report, A-334. closure-preserving collections and metrization. Pre CAPLINGER, Thomas R. A class of univalent functions, liminary report, A-597. A-105. BURKHOLDER, Donald L. One-sided maximal functions, CARDOSO, Jayroe Machado. Extended topology. Pre A-202. liminary report, A-345. BURKINSHAW, S. Owen. Weak compactness in the dual CARGO, Gerald T. and SHISHA, 0. Least pth powers, of a vector lattice, A-394. A-208. BURNHAM, J. T. See GOLDBERG, Richard R. CARLITZ, Leonard. Multiple exponential sums, A-56; BURNHAM, James T. Multipliers of commutative Segal Special functions in combinatorial analysis, A-389. algebras. Preliminary report, A-579. ---. See BRAWLEY, Joel V. BURR, Stefan Andrus. Diagonal Ramsey numbers for ---. See BRENNER, J. L. small graphs. Preliminaq report, A-46. CARLSON, John W., CARTER, Karen and HICKS, BURR, Stefan Andrus, GRUNBAUM, Branko and Troy L. On completeness in quasi-uniform spaces. ll, SLOANE, Neil J.A. The orchard problem, A-606. A-28. BURRIS, Stanley N. Weights of denumerable topological CARMICHAEL, Richard D. Representation of distribu spaces. Preliminary report, A-345. tions in @/x as boundary values of functions in tube BURTNER, Dale K. Indicators of the growth of entire domains. II, A-512; Distributions of exponential growth functions in several variables and in Banach spaces, and their Fourier transforms, A-662. A-110. CARROLL, Robert. Symmetric spaces and Euler BUSCHMAN, Robert G. See SRIVASTAVA, H. M. Poisson-Darboux equations, A-615. BUSCHMAN, Robert G. and SRIVASTAVA, H. M. In CARROLL, Robert W. Some control problems with dif version formulas for the integral transformation with the ferentiably constrained controls, A-269. H-function as kernel, A-271. CARROLL, Timothy B. and GIOIA, Anthony A. Con BUSENBERG, Stavros N. Decay characteristics for dif volution of linear arithmetic functions, A-57. ferential equations in Banach spaces, A-123. CARRUTH, James H. See CLARK, Charles E. BUSTOZ, Joaquin, Jr. See BANDYOPADHYAY, Utpal K. CARRUTH, James H. and CLARK, Charles E. An ex BUTLER, Jean W. A characterization of the simple tension of Bowman• s construction principle. Preliminary 3-polytopes having cyclically 5-connected graphs, A-35. report, A-91. BUTLER, John B., Jr. A kernel calculus on a regular CARTER, James W. Banach, Hilbert spaces and mani rigged Hilbert space. Preliminary report, A-276; On folds modeled thereon, A-295. the inverse problem for selfadjoint operators on a tensor CARTER, Karen. See CARLSON, John W. product of rigged Hilbert spaces. Preliminary report, CARTER, Lyne Hyner. An order topology in ordered A-349. topological vector spaces. Preliminary report, A-657. BUTLER, Kim Ki-Hang. A Moore-Penrose inverse for CASAZZA, P. G. On conditional bases in Banach Boolean relation matrices. ll, A-1; New representation spaces, A-17. of posets, A-249; The semigroup of Hall relations, ---. See ALTSHULER, Zvi. A-656. CASE, Bettye Anne Busbee. Some quasiconformal map BUTLER, Kim Ki-Hang and KRABILL, James Richard. pings with a Banach structure, A-111. The structure of the semigroup of Boolean circulant CASE, Janell R. and BALLEW, David W. On solutions

A-697 to the equation 'l'(n) = 'l'(n + 1). Preliminary report, CHENEY, Charles Alex and de KORVIN, Andre. Martin A-319. gales of type L1(M), A-14. CASE, John. Maximal l:n-reducibilities, A-33. CHENG, Henry. See RICHMAN, Fred. CATES, Marshall L. Nilpotent subvarieties of certain CHERLIN, Gregory L. Algebraically closed commuta metabelian product varieties. Preliminary report, A-93. tive rings. Preliminary report, A-21; On w !-categor CATES, Marshall L. and HINDMAN, Neil B. Partition ical theories of commutative rings. Preliminary re theorems for subspaces of vector spaces, A-601. port, A-449. GAUGHRAN, James G. and SHIELDS, Allen L. Measures CHEW, James. Left invariant measure in topological and singular inner functions, A-390. semigroups, A-486. CECIL, David R. Groupoid bilinear forms, A-87. CHI, Chon-Ping G. and BHARUCHA-REID, A. T. CECIL, Thomas E. Geometric applications of critical Probability measures on tensor products of Banach point theory to submanifolds of cpn, A-281. spaces, A-592. CENZER, Douglas. Analytic inductive definitions. Pre CHI, George Yu-Hua. A geometric characterization of liminary report, A-376. Frechet spaces with the Radon-Nikodym property, A-603. CERTAIN, Melinda W. One-parameter semigroups CHILDRESS, Joseph A., Jr. Unknotting unions of flat holomorphic away from zero, A-157. cells, A-191. CHACON, Rafael V. and FRIEDMAN, Nathaniel A. Dom CHIMENTI, Frank A. Tychonoff\s theorem for hyper inated estimates of convex combinations of commuting spaces. Preliminary report, A-288; Concerning con isometries, A-575. vergence formulas for sequences of sets. Preliminary CHADAM, John M. Nonlinear hyperbolic equations aris report, A-342. ing in quantum field theory, A-616. CHING, Chin-Hung. An interpolation formula for CHAE, Soo Bong and PECK, Vincent c. A generalization harmonic functions. Preliminary report, A-372. of the Steinhaus-Kemperman theorem, A-663. ---. See CHUI, Charles K. CHAN, Chiu Yeung. Positive solutions for nonlinear CHIVUKULA, R. Rao and MAY, William D. A general parabolic second initial boundary value problems, A-126. ization of Schaefer• s order duality theorem, A-141. CHAN, Wing-Man, HIGGS, Denis A. and LENIHAN, Bill. CHOU, Ching. Weakly almost periodic functions and Compactness as a type of injectivity. Preliminary re- almost convergent functions on a group. Preliminary port, A-25. . . report, A-18. CHANDRA, Jagdish and DAVIS, Paul W. Computable CHOW, Kwang-Nan and GLASNER, Moses. Atoms on pointwise bounds for the solutions of a class of discon the Royden boundary, A-521. tinuous boundary-value problems, A-368; A monotone CHRISTENSEN, Dolores. See GOLDBERG, Michael. method for quasi-linear boundary-value problems, A-659. CHUAQUI, Rolando B. The existence of an invariant CHANDRA, Kailash. Hydromagnetic stability of a density countably additive measure and paradoxical decomposi stratified fluid annulus with a radial gravitational force, tions, A-636. A-19; Thermal instability of a viscosity stratified fluid CHUI, Charles K. On approximation in the Bers spaces. layer heated from below, A-278. Preliminary report, A-109. ---. See RATHY, R. K. CHUI, Charles K. and CHING, Chin-Hung. A uniqueness CHANDRA, Susheel. On certain subclasses of regular theorem for analytic functions. Preliminary report, and p-valent in the unit disc, A-275. A-265. ---. See SINGH, Prem. CHUKWU, Ethelbert N. On the boundedness of solutions CHANDRA, Susheel and SINGH, Prem. Coefficient of third order differential equations. Preliminary re bounds of the functions of bounded boundary rotation. port, A-432. Preliminary report, A-427. CHURCH, Philip T. Real analytic maps on manifolds, CHANG, Chao-Ping. A stronger form of the fundamental A-196. theorem of calculus for complex line integrals, A-457. CHURCHILL, Richard C. and ROD, David L. On the CHANG, Elizabeth B. Characterizations of some zero Henon-Heiles Hamiltonian, A-122; A general hetero dimensional spaces, A-453. clinic theory with applications, A -367. CHANG, K. W. Diagonalization method in singular CHWE, Byoung-Song. On direct product of rings. Pre perturbations, A-679. liminary report, A-81. CHAO, Jia-Arng. HP-spaces of conjugate systems of CICERO, Joseph E. Homomorphisms and radicals in local fields. Preliminary report, A-134. pseudo Boolean valued rings, A-67. CHAPIN, Edward William, Jr. Algebraic homotopy, CIMA, Joseph A. and WOGEN, Warren R. On algebras A-85. generated by composition operators, A-680. CHARTRAND, Gary, POLIMENI, Albert D. and CLANCEY, Kevin F. Boundary eigenvalues of hypo STEWART, M. James. The existence of 1-factors in normal operators, A-158. line graphs, squares, and total graphs, A-38. CLANCEY, Kevin F. and MORREL, Bernard B. The CHATTERJEE, Madan Mohan. Some results on common essential spectrum of some Toeplitz operators, A-161. fixed point theorems for sets of operators, A-267; Theo CLARE, Fred J. Some results on elementary classes of rems on the fixed point of two sequences of operators in groups. Preliminary report, A-444. a complete metric space, A-324. CLARK, Charles E. See CARRUTH, James H. ---. See GHOSHAL, Sudhanshu Kumar. CLARK, Charles E. and CARRUTH, James H. Compact CHAWLA, Lal M. A note on distributive arithmetical totally 1ft quasi-ordered semigroups, A-91. functions. Preliminary report, A-55. CLARK, Colin W. The economics of extinction: a math CHEEMA, Mohindar S. Computations for plane and ematical model, A-214. mutipartitions, A-56. CLARK, Douglas N. Blaschke products and pertnrba CHEN, Bang-Yen. Surfaces with nontrivial normal tions of class cp, A-156. connection. Preliminary report, A-281. CLAY, James R. The dilitation group of a generalized CHEN, Jau-die. A theorem of Cesari on multiple affine plane. Preliminary report, A-678. Fourier series, A-11. CLAYTON, Dennis D., DYER, J., HORNE, Alvin E. CHEN, Kuang-Ho. A uniqueness theorem for convolution and PORCELLI, Pasquale. Analytic direct integrals equations in LP (Rn) spaces. Preliminary report, A-125; and factorization theory. Preliminary report, A-16. The uniqueness problem for systems of elliptic partial COBURN, Lewis A. Variants of the index theorem, differential equations with finlte energy. Preliminary approximation, and perturbation classes. Preliminary report, A-351. report, A-156. CHEN, Kuo-Tsai Chen. Associated DG Hopf algebras of COCHRAN, James A. Holder continuous kernels are commutative algebras. Preliminary report, A-357. nuclear, A-371. CHEN, M. See MADAN, Ved P. COCKAYNE, E. J. See LORIMER, PeterJ. CHEN, Su-shing. A Phragm!m-LindeHif theorem for COHEN, David B. The Hurwitz monodromy group. Pre Siegel domains of the second kind, A-10; B-convexity of liminary report, A-363. complex manifolds, A-264. COHEN, DonaldS. Instabilities and relaxation oscilla CHENEY, Charles A. See ALO, Richard A. tions in the spatial and temporal organizations of chemical

A-698 systems, A-679. of periodicity of a transitive flow. Preliminary report, COHEN, Joel Seymour and STEPHENS, A. B. Tensor A-673. norms on J,(n) ® .l,(n), A-350; Optimization problems for COX, S. H. , Jr. Finite rank flat modules. Preliminary KG, A-483.1 1 report, A-66. COHEN, Moses E. A general polynomial theorem. Pre COX, S. H., Jr. and RUSH, David Eugene. Finiteness liminary report, A-131; A class of generating functions, in modules and algebras, A-517. A-352; Differential recurrence theorems associated with CRAGGS, Robert F. Relating Heegaard and surgery a class of polynomials, A-680. presentations for 3-manifolds, A-617. COHN, Harvey. Further study of real maximally com CRANDALL, Michael G. and RABINOWITZ, Paul H. posite octic fields. Preliminary report, A-63. Perturbation of simple eigenvalues and the codimension COHOON, David K. A class of algebras which are not of the stable manifold. Preliminary report, A-353; On power associative. Preliminary report, A-417; The non solutions of -tl. u ~},.en and related equations. Pre solvability of the minimal space of surjectivity question liminary report, A-612. for families of mappings. Preliminary report, A-499; CRARY, Fred D. Improved radial engulfing. Pre On the nonexistence of a minimal space of solvability for liminary report, A-452. two linear operators on a vector space. Preliminary re CRATES, Gladys Hayes and JAYNE, John W. Zeros of port, A-569. some recursively generated polynomials, A-665. COLE, Julian D. Some singular perturbation problems CRISLER, Wilson R. and HICKS, Troy L. A note on T1 of cell physiology. Preliminary report, A-679. topologies, A-176. COMER, Stephen D. Sectional representations induced CRUSE, Allan B. On embedding incomplete symmetric by L-restricted direct decompositions. Preliminary re latin squares, A-263. port, A-54. CUMMINGS, Larry J. See BEASLEY, Leroy B. COMFORT, W. Wistar. Almost disjoint refining families CUNNINGHAM, Ellen. Chain models for infinite for uniform ultrafilters. Preliminary report, A-644. quantifier languages. Preliminary report, A-588. COMFORT, W. Wistar and NEGREPONTIS, Stelios. CUNNINGHAM, Fred, Jr. Three Kakeya problems, Topological consequences of the Erdos-Rado intersection A-606. relation a--+tl.(x, fl). Preliminary report, A-177. CUNNINGHAM, Robert S. Primary decomposition for COMSTOCK, Craig. Singular perturbations of delay endomorphism rings of projective modules, A-315. equations. Preliminary report, A-121. CURRY, Haskell B. Representation of Markov algo-. ---. See DUNNE, Patrick W. rithms by combinators, A-590. CONNETT, William C. and SCHWARTZ, Alan L. A CURTIS, Charles W., KANTOR, W. M. and SEITZ, multiplier theorem for Gegenbauer expansions, A-133; Gary M. The 2-transitive permutation representations A multiplier theorem for Jacobi expansions, A-434; A of the finite Chevalley groups, A-96. better multiplier theorem for ultraspherical expansions, CURTIS, W. D. The automorphism group of a compact A-582. Lie group action. Preliminary report, A-100. CONSTANTINE, Randolph, Jr. Variation-norm-con CUSHING, Jim M. See BOWNDS, J. M. vergence of function sequences, A-132. CUTRER, M. Wayne. A note on the slice algebra for COOK, Donald. Isomorphism invariants for Hom modulo H00 , A-115. torsion maps. Preliminary report, A-88. DAFERMOS, C. M. and SLEMROD, Marshall. Asymp COOK, Joseph M. A scattering operator in the theory of totic behavior of nonlinear contraction semigroups, A-329. discontinuous Markov processes, A-399. IJtALARCAO, Hugo and MOORE, Thomas E. Order as COOK, Thurlow A. Absolute Schauder bases in C(X), a subgroup-lattice homomorphism, A-253. A-666. DANHOF, Kenneth J. Normal concepts in X 0-categorical ---. See KNOWLES, Robert J. theories. Preliminary report, A-513. COONCE, Harry B. and ZIEGLER, Michael R. Functions DANIEL, James W. Stability and conditioning in definite with bounded Mocanu variation, A-104. quadratic programs, A-207. COOPER, Jeffery M. Local energy decay of solutions of IJtARISTOTLE, Anthony J. On Stone Weierstrass spaces, the wave equation in the exterior of a moving body. Pre A-291; On a-perfect mappings. Preliminary report, liminary report, A-485. A-380; A note on 9-perfect mappings, A-506. COOPER, Jeffery M. and STRAUSS, W. A. Local decay DARST, Richard B. On the connection between of waves reflecting off moving obstacles. Preliminary Hausdorff measures and generalized capacity, A-100. report, A-488. DATTA, Biswanath N. An algorithm for computing a COPPERSMITH, Don. See BRAYTON, R. K. symmetrizer of an arbitrary matrix, A-255; Matrix COPPIN, Charles A. Relations with minimal elements, equation and relative primeness of two polynomials, A-180. A-440. CORNING, F. R. See JANOS, Ludvik. DATTA (SARKAR), Karabi. See DATTA, Biswanath N., CORNING, F. R. and GREGORIO, C. G. D. Locally con A-584. nected incompressible spaces. Preliminary report, DATTA, Biswanath N. and DATTA (SARKAR), Karabi. A-25. On the numerical solution of matrix equations for the CORNWELL, Peter E. and YEN, David H. Y. Boundary stability problems, A-584. value problems in the improved theory of elastic plates. DAVEY, Brian A. Some annihilator conditions on I. Existence of eigenvibrations for plates of arbitrary distributive lattices, A-630. shape, A-374; Boundary value problems in the improved DAVID, John E. A characteristic zero non-Noetherian theory of elastic plates. II. Vibrations of circular plates, factorial ring of dimension three, A-65. A-374. DAVIS, Don B. and LOWENTHAL, Franklin. An CORZATT, Clifton E. Heilbronn• s problem for higher extremal problem on multiply connected domains, A-112. dimensions. Preliminary report, A-498. DAVIS, Paul W. See CHANDRA, Jagdish COSTA, David G. Asymptotic behavior of solutions of DAVIS, Philip J. Visual geometry, computer graphics symmetric hyperbolic systems. Preliminary report, and theorems of the new type, A-541. A-267. DAVIS, Ronald. Semigroups of linear sequential COSTELLO, Thomas and NOONAN, Joseph P. On the machines, A-583. reverse problem in information theory. Preliminary DAWSON, David F. Matrix substitutions in summability, report, A-199. A-130; Summability of subsequences and other regular COTTRELL, Anne. A lower bound for the Scholz-Brauer transformations of a sequence, A-487. problem. Preliminary report, A-476. DAY, Jane M. Seniigroups with periodic properties, COUGHLIN, Raymond F. and RICH, Michael. Scalar A-99. dependent algebras, A-82. DAY, K. Michael. Toeplitz matrices generated by the COURY, John E. The sum of absolutely convergent Laurent expansion of an arbitrary rational function, Rademacher series. Preliminary report, A-17; Sub A-659. series of absolutely convergent series, A-130. DEBNATH, Lokenath. See BAG CHI, Kalyan Kumar. COVEN, Ethan M. and KLEIN, Benjamin G. The index ---. See GOPINATH, Meempat.

A-699 See MUKHERJEE, Sukla. DOOLEY, Robert A. Local compactness in strongly See SEN, Swapna. convex metric spaces, A-291; Segments in locally com- DEBNATH, Lokenath and HARRELL, Carolyn W. The pact metric spaces, A-342. , operational calculus of associated Legendre transforms, DORTMANN, JosefK.H. and MIYAOKA, Florinda K. A-571. Semi-open sets in topological spaces. I. Preliminary DEDDENS, James A. and STAMPFLI, Joseph G. On a report, A-344; IT. Preliminary report, A-451; ill. question of Douglas and Fillmore, A-155. Preliminary report, A-506. DEDECKER, Paul, FINKEL, David and LUKS, Eugene M. DOSTAL, Milos A. See BERENSTEIN, Carlos A. Computations in Galois cohomology, A-85. DOWELL, Juliana. Some analogs of arithmetic func DeKLEINE, H. Arthur. Stability conditions for tions, A-652. u" + a(t) lui 'Y sgn(u) = 0. Preliminary report, A-121. DOWLING, Thomas A. See KELLY, Douglas G. DELEANU, Aristide. Localization in homotopy theory DOWLING, Thomas A. and WILSON, Richard M. The and a construction of Adams, A-188. slimmest geometric lattices, A-40; A Whitney number DELSARTE, Philippe and McELIECE, Robert J. Zeroes inequality for geometric lattices, A-44. of functions from finite abelian groups to f"mite fields, DOWNEY, Charles.· A classification theorem for the A-42. Hilbert transform over a local field, A-680. DeMARR, Ralph E. Generalized matrix algebras. Pre DRAKE, David A. and HALE, Mark P. Half counts in liminary report, A-161. Latin quarters. Preliminary report, A-254. DeMEYER, Frank R. On separable polynomials over a DRAPER, Richard N. Parameterization of a type of commutative ring, A-65. local ring. Preliminary report, A-66. DEO, Satya. On cohomology of simple sheaves. Pre DRASIN, David. On the sharpness of Nevanlinna• s liminary report, A-509; On tautness property of second fundamental theorem, A-610. Alexander-Spanier cohomology. Preliminary report, DREHER, Felix F. Uniformly continuous selectors and A-593. extensions. Preliminary report, A-185. DePRIMA, Charles R. See JOHNSON, C. R. DROBNIES, Saul I. Analysis of certain fraction ex ---. See WELLS, John. pansions, A-132. DePRIMA, Charles R. and RICHARD, Bruce K. A DROBOT, Vladimir. On the dilution of series, A-131. characterization of the positive cone of B(H), A-158. DRUDE, Kathleen A. The quasi-g integritl.. Preliminary DERIGHETTI, Antoine. On weak containment. m, A-273. report, A-370. DERR, Leroy J. On the minimum function of a matrix. DUBINS, Lester E. The abstract gamblers problem, Preliminary report, A-73. A-205. DERRICK, William R. Nonlinear functional Sturm DUCHARME, Robert G. and STENBERG, Warren. A Liouville equations, A-350. new computer oriented (algorithmic) linear algebra DESHPANDE, V. K. See DESHPANDE, Madhukar G. course. Preliminary report, A-546. ---. See FELLER, Edmund H. DUDLEY, Richard M. Binomial probabilities, A-599. DESHPANDE, Madhukar G. and DESHPANDE, V. K. DUKE, Richard A. Some Ramsey-type theorems for Rings whose proper homomorphic images are right sub two-complexes. Preliminary report, A-648. directly irreducible. Preliminary report, A-74. DUNAY, Franklin. Some results in the theory of KP DETMER, Richard C. Characterization of sets which functions. Preliminary report, A-112. are tame in complexes in E3, A-192; Sets which are DUNKL, Charles F. An expansion in ultraspherical tame in arcs in E3, A-293. polynomials with nonnegative coefficients, A-389. DEVENEY, James K. An intermediate theory for a DUNKL, Charles F. and RAMffiEZ, Donald E. purely inseparable Galois theory, A-651. Krawtchouk polynomials and the symmetrization of DEVINATZ, Allen, ELLIS, Richard and FRIEDMAN, hypergroups, A-117; A family of countable compact Avner. The asymptotic behavior of the first real eigen P*-hypergroups. Preliminary report, A-392. value of second order elliptic operators with a small DUNN, Arnold M. Schauder decompositions of quasi parameter in the highest derivatives. IT, A-494. reflexive Banach spaces. Preliminary report, A-435. DeVITO, Carl L. Characterizations of those ideals in L1 DUNNE, Patrick W. and COMSTOCK, Craig. Second which can be synthesized, A-435. order equations with two-point and integral boundary DeVITO, Carl L., WANG, Kwang-Bhang and WAYMIRE, conditions, A-523. Edward C. On compact mappings between L1-modules DURAND, Loyal ill. Nicholson-type integrals for and almost periodic functions, A-438. products of Gegenbauer functions. Preliminary report, DEWAR, Jacqueline. A characterization theorem for A-392. set valued coincidences. Preliminary report, A-643. DURIS, Charles S. See ASTOR, Peter H. DEWAR, James A. Exact covers and complementing DUVALL, Paul F. and MAXWELL, James W. Tame systems. Preliminary report, A-2. z2-actions on En A-193 DEY, Suhrit K. Analysis of numerical stability of time DYER, J. See CLAYTON, Dennis D. dependent, laminar viscous flow, A-495. EAKfN, Paul M. and HEINZER, William J. Some DIAZ, Joaquin B. and OSLER, Thomas J. Differences Dedekind domains with specified class group and more of fractional order, A-369. noneuclidian PID• s, A-64. illCKMAN, Raymond F., Jr. a-perfect mappings and EARLE, Clifford J., Jr. Some recent results in almost convergence, A-171. Teichmiiller theory, A-370. illCKMAN, Raymond F., Jr. and RUBIN, L. R. Ex ECKER, Joseph G. A nonlinear programming analysis amples of unicoherent spaces not having property C. of alternative policies for stream pollution abatement, Preliminary report, A-291. A-544. illEFFENBACH, Robert M. PL homeomorphisms of EDREI, Albert. Fade approximants of functions with s1x s1 xsn A-343 few singularities, A-525. DIESTEL, joseph ~nd FAIRES, Barbara. Remarks on EDWARDS, David A. The structure of superspace. classical Banach operator ideals. Preliminary report, Preliminary report, A-645. A.;.528. ---. See McAULEY, Patricia, A-596. , DIMINNIE, Charles R. and WHITE, Albert G. An ex EDWARDS, David A. and GEOGHEGAN, Ross. Etale ample of a linear 2-normed space. Preliminary report, homotopy and shape. Preliminary report, A-379; Com A-140. pacta weak shape equivalent to CW complexes, A-455. DINEEN, Sean. See BOLAND, Philip J. EDWARDS, R. E. and ROSS, Kenneth A. p-Sidon sets, DLAB, Vlastimil and RINGEL, Claus Micha. Represen A-273. tations of algebras with zero square radical, A-365; De EDWARDS, Robert D. The topological invariance of composition of filtered vector spaces, A-415. simple homotopy type for polyhedra, A-293. DOBBINS, J. Gregory. Simple subsemigroups of topo EENIGENBURG, Paul J. On a-convex functions. Pre logical groups. Preliminary report, A-90. liminary report, A-104. DOLAN, James M. Existence of nonoscillatory solutions EENIGENBURG, Paul J. and MILLER, Sanford S. The of Y"' + py = 0, A-124. HP classes for a-convex functions. Preliminary re-

A-700 port, A-104, Fibonacci spaces, A-258; The problem of the n liars, EERKES, Gary L. Rings of equivalent dominant and co A-341. dominant dimensions. Preliminary report, A-78. EVERETT, C. J. and STEIN, P. R. Fermat functions EGGLETON, Roger B. and ERDOs, Paul. Partitions and the general Wallis product, A-434. restricted to divisors of n. Preliminary report, A-319. EVERITT, William N. See BRADLEY, JohnS. EHREN FEUCHT, Andrzej. A finitely axiomatisable EXTON, Harold. Generating functions of certain classes decidable theory without finitely axiomatisable complete of multiple hypergeometric polynomials. Preliminary extensions, A-284. report, A-578. EHRENFEUCHT, Andrzej and JENSEN, Don Cook. 1m ---. See SRIVASTAVA, H. M. beddings and reducts of arithmetic. Preliminary report, FABES, Eugene B. See LEWIS, Jeff E. 4 A-503, FABREY, James D. Weyl systems for the (

A-701 FITTING, Melvin C. Model existence theorems for liminary report, A-492; Hankel operator ranges, mero modal and intuitionistic logics. Preliminary report, morphic pseudocontinuations and factorizations. Pre A-283, liminary report, A-578; On inner functions and invariant FITZGIBBON, William E. Time dependent perturbations subspaces. Preliminary report, A-604. at time dependent linear accretive operators. Prelimi FULLER, Kent R. Density and equivalence, A-81. nary report. A-157; Nonlinear perturbation of m-accre FULTON, John D. Representations by quadratic forms tive operators, A-657. in a finite field of characteristic two. Preliminary re FITZPATRICK, Ben, Jr. Moore spaces, A-673. port, A-73. FLAHERTY, Francis J. Curvature measures for com GAGLIONE, Anthony M. Lower central series of free plexes, A-396, products of finitely generated abelian groups. Pre FLATTO, Leopold. The multiple range of a simple ran liminary report, A-358. dom walk in the plane. Preliminary report, A-199. GAHLER, S., SIDDIQI, Abul H. and GUPTA, S. C. On FLEISCHNER, Herbert and HOBBS, Arthur M. Hamil certain problems in linear 2-normed space, A-494. tonian total graphs, A-47.7. GAISSER, John W. and SHERMAN, Seymour. Sym FLEMING, Richard J. and JAMISON, James E. Iso metrization inequalities, A-398. metries on certain Banach spaces. Preliminary report, GALAMBOS, Janos. Additive functions as quasi A-331, orthogonal series for arithmetical functions, A-59, FLEMING, Wendell H. Diffusion processes and migra GALLAGHER, Leonard J. Independent functions in tion models in population genetics theory, A-544. measure structures, A-515, FLETCHER, Peter and LINDGREN, William F. Spaces GALLAGHER, Patrick X. Sums of primes and powers that admit a coarser quasi-metric topology. Preliminary of 2, A-602. report, A-289; Local quasi-uniformities with countable GALOVICH, Jennifer R., GALOVICH, Steve and bases. Preliminary report, A-596; Generalizations of SCHUSTER, Seymour. An elementary proof of the "Y -spaces, A-670. friendship theorem, A-421. FLUM, Jorg. On reduced products. Preliminary re GALOVICH, Steve. See GALOVICH, Jennifer R. port, A-589, GAMELIN, Theodore W. The algebra of bounded analytic FOLAND, Neal E. and KIRK, Ronald B. Products of functions, A-351, spaces with m-dense subsets, A-288, GANDHI, J. M. Sixth interval formulae for the coeffi FOREGGER, Thomas H. See BRUALDI, Richard A. cients of cosh x/cos x, A-58; Generalized Fermat• s last FORTE, Bruno. See AezEL, Janos D. theorem and pseudo-regular primes, A-515, FOSSUM, Timothy V. The center of a simple algebra, GANTER, Bernhard. Finite partial quadruple systems A-79. can be finitely embedded, A-562. FRAENKEL, Aviezri S. Combinatorial games with a GANTER, Bernhard and WERNER, Heinrich. Equational capture rule. Preliminary report, A-544. classes of Steiner systems, A-422. FRANCIS, George K. Some folded torus theorems. GANUZA, Edgar. On the supercritical general branch Preliminary report, A-194; The Picard-Loewner ing process, A-505, problem. Preliminary report, A-402. GARDNER, Robert B. Free direct factors of modules FRANK, James L. and SHAW, John K. On analytic over local rings. Preliminary report, A-72; A charac functions with gaps, A-393, terization of finitely generated modules whose exterior FRANKLIN, James M. Limits ofLp norms, A-102, rank equals the minimal number of generators. Pre FRANKLIN, James M. and BECKER, David N. The liminary report, A-518; A characterization of finitely numerical range in nonunital algebras. Preliminary generated modules whose exterior rank equals the mini report, A-144. mal number of generators. Preliminary report, A-647. FRASER, David F. Effective stability of a system of GARMAN, Brian L. On the genus of Kn n n n· Pre- interacting species. Preliminary report, A-214. liminary report, A-564. ' ' ' FRECHETTE, Maurice. Equivalence of sesquilinear GARNER, Lynn E. Collinearity-preserving functions forms. Preliminary report, A-252. between projective planes, A-164. FREDERICKSON, Paul 0. Higher dimensional Gregory GARSlA, Adriano M. An interesting norm for BMO, quadrature. Preliminary report, A-209, Mp and Mi. Preliminary report, A-202. FREDMAN, Michael L. Bi-power partitions. Pre GASKILL, Herbert S. A property of weakly transferable liminary report, A-46, lattices, A-565, FREEMAN, Michael B. Local complex analytic foliation GASKILL, Herbert S. and PLATT, Craig R. Transfer of real submanifolds of ccn. Preliminary report, A-115. ability and Jonsson• s conjecture about finite sublattices FREIMAN, Richard. Homeomorphisms of long circles of a free lattice, A-560, without periodic points. Preliminary report, A-187. GASPER, George. Nonnegativity of a discrete Poisson FREIWALD, Ronald C. and LEVY, Ronnie Fred. A non kernel for the Hahn polynomials, A-117. ffiumberg compact Hausdorff space. Preliminary re GATTERDAM, Ronald W. and CANNONITO, Frank B. port, A-346, The word problem of polycyclic groups is elementary, FRENCH, James Austin. A condition equivalent to A-96, covering dimension for normal spaces, A-671. GAUTIER, Serge and PENOT, Paul. Cont4J,gent differ FREYD, Peter J. On the logic of topoi. Preliminary ential equations in Banach spaces, A-436. report, A-86. GAUTSCffi, Walter. On the condition of algebraic FRICKE, Gerd H. Functions of bounded index and their equations, A-207; Some mean value inequalities for the logarithmic derivative. Preliminary report, A-105; A gamma function, A-386. note on multivalence of a function of bounded index. GAY, David A. The Weyl group of SU(n) on zero-weight Preliminary report, A-267; Entire functions with pre spaces, A-677. scribed asymptotic behavior. Preliminary report, GEARHART, William B. Differential approximation A-327. techniques for approximation by exponential sums, A-19. FRIEDMAN, Avner, See DEVINATZ, Allen. GEHRING, Frederick W. Density and absolute continuity FRIEDMAN, Nathaniel A. Induced mixing of all orders. properties for quasiconformal mappings. Preliminary Preliminary report, A-272. report, A-614. ---. See CHACON, Rafael V. GEISSINGER, Ladnor D. Valuations on distributive FRIEDMAN, Yaakov. Subspaces of CP and LC(H). lattices, A-40, Preliminary report, A-575, GELBART, StephenS. Generalized IJ-adic Heeke FRISTEDT, Bert E. The maximal process of a process operators on a quaternion algebra. Preliminary report, with stationary, independent increments, A-398. A-63, FUGATE, Joseph B. and MOHLER, LeeK. A class of GEMIGNANI, Michael C. Another topology associated tree-like continua with the fixed-point property, A-181, with a decomposition theory, A-171. FUHR, Richard D. The Choquet boundary for function GENDLER, Alan M. Extreme operators in S(L(C(X), spaces without constants. Preliminary report, A-146, C(Y))). Preliminary report, A-574. FUHRMANN, Paul A. On Hankel operators. Pre- GENTRY, Rodney D. Bounds for ratios of eigenvalues

A-702 of a vibrating string, A-123, are free in some infinite power. Preliminary report, GEOGHEGAN, Ross. See EDWARDS, David A. A-338; A union decomposition theorem for unary alge GERAGHTY, Michael A. An improved criterion for bras and an application to certain theories categorical fixed points of contraction mappings. Preliminary re in power, A-445; A representation theorem for quasi port, A-534, varieties categorical in power, A-461. GERRIETS, C. John and POOLE, George D. Convex GIVENS, J. Wallace. The Lyapunov stability criterion covers of arcs of constant length. Preliminary report, as a mapping of mappings and related modules and mor A-166. phisms, A-209. GERSHUNI, Baruch. On the axiom system of Peano, GLADSTEIN, Keith. A characterization of complete A-338; An axiom-system for the totality of all the natural trellises of finite length, A-473; Removable and semi numbers 1, 2, 3, .•. plus the nonnatural number 0, A-447. removable elements in trellises, A-566. GERSON, Martin Sebastian, The inadequacy of the neigh GLADWIN, Charles J. and JELTSCH, Rolf. Stability of bourhood semantics for modal logic, A-282; A neighbour quadrature rule methods for first kind Volterra integral hood frame for T with no equivalent relational frame, equations, A-585. A-449, GLASER, Marlene. See AIKEN, John G, GERSTEIN, Larry J. Symmetric bilinear forms and a GLASNER, Moses. See CHOW, Kwang-Nan. theorem of Cassels and Pfister, Preliminary report, GLASNER, Shmuel. Relatively invariant measure. A-64. Preliminary report, A-615. GETOOR, R. K. and SHARPE, M. J. Last exit decom GLASS, A.M. W. Embedding in lattice-ordered groups, positions and distributions, A-201. A-7; The word problem for lattice-ordered groups. GHATAGE, Pratibha. Generalized algebraic operators. Preliminary report, A-476. Preliminary report, A-637, GLASS, A, M. W. and HOLLAND, W. Charles, A char GHOSHAL, Sudhanshu Kumar. On concentration boundary acterization of normal valued lattice ordered groups, layers. Preliminary report, A-21. A-563. GHOSHAL, Sudhanshu Kumar and CHATTERJEE, Madan. GLAUBERMAN, George, Direct factors of Sylow Fixed point theory in semimetric space, A-152. 2-subgroups, A-96. GHOSHAL, Sudhanshu Kumar and MASOOD, M. Abu. GLUCK, Lawrence. See ASH, J. Marshall. Gronwall• s inequality for nonselfadjoint partial differen GOEL, Devendra S, Selfadjoint metrics on almost tial equations of hyperbolic type, Preliminary report, tangent manifolds, A-532, A-129. GOEL, Devendra S. See SAHNEY, Badri N. GHOSHAL, Sudhanshu Kumar and RAY, Barada Kinkar, GOEL, Devendra S., HOLLAND, Anthony S. B. , NASIM, On fixed points. Preliminary report, A-9; On local fixed Cyril and SAHNEY, Badri N. On best simultaneous points, Preliminary report, A-263; On generalization of approximation in normed linear spaces. Preliminary Banach• s fixed point theorem. Preliminary report, report, A-428; Characterization of an element of best A-324. A. P-simultaneous approximation, Preliminary report, GffiBON!J., Joel, The nonexistence of some hyperbolic A-525, sets in s~, A-289. GOES, GUnther W. Banach sequence algebras. Pre GffiBS, Richard A. Self-complementary graphs, A-45. liminary report, A-278. GIBSON, Peter M. Unitary and orthogonal transform GOLAN, Jonathan S. Topologies on the torsion-theoretic ations on matrices, A-656, spectrum of a noncommutative ring, A-315, ---. See BEASLEY, Eugene Thomas, Jr. GOLBERG, Michael and CHRISTENSEN, Dolores, An GIELLIS, George R. A vector inner product generated algorithm for the complete eigenvalue problem. Pre by a regular group representation, Preliminary report, liminary report, A-497, A-137, GOLD, Robert. Genera in abelian extensions, A-649. GIESY, Daniel P. Super-reflexivity, stability and GOLDBERG, Michael. New rectifiable tetrahedra, A-530, B-convexity, A-149. GOLDBERG, Richard R. and BURNHAM, J, T. Norm GILBERT, John E. Tensor algebras and LP-multipliers, inequalities in dense ideals, A-512. A-390, GOLDFARB, Warren D. See AANDERAA, St§.l. GILBERT, Richard C. The deficiency index of an or GOLDMAN, Jay R. Formal languages in enumeration, dinary differential operator, A-458. A-41. GILES, John R. See KOEHLER, Donald 0. GOLDSCHMIDT, David M. 2-fusion in finite groups, GILES, Robin. A nonclassical logic for physics, A-286. A-92. GILFEATHER, Frank L, Operator roots of abelian GOLDSMITH, Donald L. Generalizations of the Durfee analytic functions. Preliminary report, A-154. square, A-56, GILL, Tepper and BHARUCHA-REID, A. T. Tensor GOLDSTEIN, Charles I. Scattering theory for non products of contraction semigroups on Hilbert spaces, selfadjoint operators, A-162, A-581, GOLDSTEIN, Jerome A. A perturbation theorem for GILLOTTE, Michael J., Jr. and McLAUGHLIN, Harry evolution equations and some applications, A-153, W. On nonlinear uniform approximation, A-571, GOLLWITZER, Herman E. Admissibility and integral GILMAN, Robert and GORENSTEIN, Daniel, Simple operators, A-161, groups of class two, A-94. GONSHOR, Harry, Projective covers as subquotients GILMER, Robert. A two-dimensional non-Noetherian of enlargements, A-31. factorial ring. Preliminary report, A-317; GONZALEZ, Mario 0, On the one-to-oneness of map GILMER, Robert, See ARNOLD, Jimmy T. pings defined by a class of functions of a complex vari GILMER, Robert and PARKER, Tom. Conditions under able, A-108, which the semigroup ring has an identity. Preliminary GOODAffiE, Edgar G. The derivation algebra of M4 (C), report, A-258; Divisibility properties in semigroup A-6; The derivation algebra of Mn(C). Preliminary rings, Preliminary report, A-317; Semigroup rings as report, A-479, Prlifer rings, Preliminary report, A-475. GOORJIAN, Peter M, Uniqueness of the time coordinate GINSBERG, Myron. The design and use of an under for certain singular spacetimes in general relativity, graduate numerical analysis laboratory, Preliminary A-335. report, A-539. · GOOTMAN, Elliot C. Local eigenvectors for group GIOIA, Anthony A. See CARROLL, Timothy B. representations, A-100. GffiARD, Dennis M. The behavior of the norm of an GOPINATH, Meempat and DEBNATH, Lokenath. On automorphism of the unit disk, A-135, unsteady motion of a rotating fluid bounded by flat porous GITLER, Samuel. Cohomology operations and obstruc- plates, A-335; On the growth of unsteady boundary layers tions, A-191, · on porous flat plates, A-439. GITTINGS, Raymond F. Concerning quasi-complete GORA, Edwin K. On the use of Lucas polynomials in the spaces, A-511. theory of matrix functions, A-362. ---. See ATKINS, John M, GORDH, George R. , Jr. Concerning closed quasi-orders GIV ANT, Steven R. Universal classes of algebras which on hereditarily unicoherent continua, A-185,

A-703 GORDON, M. K. See SHAMPINE, Lawrence F. the learning of redundant relevant cues. Preliminary GORDON, Robert. Gabriel dimension in polynomial report, A-333. rings, A-74. GROSSMAN, Jerrold W. A homotopy theory of pro GORELICK, Michael R. and KRANZER, Herbert C. An spaces. Preliminary report, A-609. extension of the Kreiss stability theorem to matrices of GRUENHAGE, Gary F. A continuously perfectly normal unboundedly large order, A-538, space which is not first countable. Preliminary report, GORENSTEIN, Daniel. See GILMAN, Robert. A-291; A separable continuously normal space is metriz ---. See HARRIS, Morton E. abl\l_. Preliminary report, A-452. GOSSELIN, John A. Almost everywhere convergence of GRUNBAUM, Branko. Vertices missed by longest paths Vilenkin-Fourier series, A-135, or circuits, A-458; Venn diagrams and independent GOULAOUIC, C. See BAOUENDI, M. S. families of curves, A-531, GOULD, Henry W. Coefficient identities for powers of ---. See BURR, Stefan Andrus. Taylor and Dirichlet series, A-8; Solution of a quadratic· GRUNBAUM, F. Alberto. Gaussian processes and non- recurrence, A-330. linear devices, A-607. 1 GOULD, Henry W. and HSU, L. c. A new pair of inverse GUASPARI, David, The largest constructible ll1 set. series relations, A-262, Preliminary report, A-501; A note on the Kondo-Addison GOULD, Matthew I. Representable congruences on endo theorem, A-589, morphism monoids, A-53. GUDERLEY, Karl G. and WARREN, R. H. An econom GRABINER, Sandy. Ranges of operator iterates, A-154, ical approximation for the coefficients in the development GRAEF, John R. and SPIKES, Paul Wenton. On solutions of a function with respect to an orthogonal system, A-133. of a second order nonlinear differential equation. Pre GULIZIA, Charles F. The Kunze-Stein interpolation liminary report, A-121, theory for LP spaces, A-135. GRAGG, William B. and TAPIA, Richard A. Optimal GULLIVER, Robert and LESLEY, Frank David, Non error bounds for the Kantorovich theoretp., A-207. existence of boundary branch points on certain minimizing GRAHAM, Colin C. Spectral syntheses for M(G). Pre surfaces, A-614, liminary report, A-576. GUNDY, Richard F. Boundary behavior of harmonic GRAJEK, Michael A. Collapsing K X I when K is a functions and Brownian motion, A-203. triodic 2-complex. Preliminary report, A-596. GUPTA, Chaitan. P •.. On cmnpact perturbations of certain GRAMS, Anne P. Atomic rings and the ascending chain nonlinear equations in Banach spaces, A-148, condition for principal ideals. Preliminary report, GUPTA, Hansraj. The combinatorial recurrence, Pre A-631, liminary report, A-258. GRANIRER, Edmond E. Weakly almost periodic and GUPTA, Murli M. Stability of iterative schemes for uniformly continuous functionals on the Fourier algebra nonselfadjoint equations, A-20; On the solution of alge of I!!IY locally compact group, A-274. braic systems by the method of odd/even reduction, GRATZER, George A. Three remarks on the arguesian A-496. id~tity, A-313; Homogeneous Boolean algebras, A-565. GUPTA, S. C. See GAHLER, S. GRATZER, George A. and LAKSER, H. Three remarks GUREL, Okan, Peeling and nestling of a striated on ~jle arguesian identity. I, A-253. singular point, A-380, GRATZER, George A. and PLATT, Craig R. A charac GUSTAFSON, Grant B. An integral equation for per ter!~ation of transferable lattices, A-631, turbed nonlinear functional differential equations, with GRATZER, George A. and SICHLER, J. Free decompo applications to periodic solutions and nonlinear boundary sitions of a lattice, A-480, value problems, A-119; Nonzero solutions of boundary GRAVER, Jack E. Boolean designs and self-dual value problems for damped nonlinear differential sys matroids, A-36. tems. Preliminary report, A-348. GRAVES, William H. Cohomology of the incidence co GUTHRIE, Joe A. Essentially connected spaces, A-182; algebra. Preliminary report, A-41, Ascoli theorems and the pseudocharacter of mapping GRAY, Leonard, Spectral mapping theorem for essential spaces. Preliminary report, A-457. central spectrum, A-158. GUTHRIE, Joe A. and STONE, H. Edward, Spaces on GREEN, Alwin C. Structure of finite vertex-transitive which functions are bounded. Preliminary report, A-599. graphs, A-37. GUTIERREZ-NOVOA, Lino. Extending projective theo GREEN, John William. Moore-closure and complete rems using quasi-polarities, A-165, ness, A-170; Completion of Moore spaces. Preliminary GUY, Richard K, and SELFRIDGE, John L, Aliquot report, A-345. sequences, A-58, GREENBERG, Brian, The characterization of local HABER, Seymour and SffiSHA, Oved. Improper integrals rings of global dimension two, A-359, and Riemann sums, A-101, GREENBERG, James M. Decay theorems for the quasi HAG, Per, Restrictions of convex subsets of C(X), A-494, linear wave equation, A-129, HAGER, Anthony W. Proximally and measurably fine GREENBERG, William, Thermodynamic duality for uniform spaces, Preliminary report, A-26, classical lattice mechanics, A-213. HAGIS, Peter, Jr. and McDANIEL, Wayne L. On the GREENE, Curtis. Multiple exchange properties, A-45, largest prime divisor of an odd perfect number, A-56. GREENOUGH, H. Paul. Generalized Mobius inversion HAGOPIAN, Charles L, Chainably connected plane with applications, A-200, continua, A-27; Mappings of "- connected plane continua, GREENWELL, Donald L, Odd cycles and perfect graphs. A-177; Composition of functions on quasi-Peano continua, Preliminary report, A-649, A-343; "-connected continua, A-533, GREGORIO, C. G. D. See CORNING, F. R. HAIFAWI, Mahmoud, Immediate extension and spherical GREGORY, John. Abelian groups infinitarily equivalent completion of nonarchimedean normed spaces. Pre to free ones. Preliminary report, A-500, liminary report, A-11. GRENANDER, Ulf. Computational probability and HAINES, David C. Injectivity in the category of p-rings, statistics, A-536. A-67. GRIFFIN, Ernest. See AIKEN, John G. HAJEK, Otomar. Duality for pursuit games with con GRIMMER, Ronald C. Oscillation and nonoscillation of straints, A-280; Quadratic targets in pursuit games. even order differential equations, A-119. Preliminary report, A-441; Maximum principles for GROENING, William A. Quasi-analytic classes of minimal time, A-583; Nondifferentiability of the minimal functions of several variables, A-100, time function, A-638. GROSS, Kenneth I. Invariants for Stiefel manifolds in HAKEN, Wolfgang R. G. On geographically good con Hilbert algebras, A-674. figurations. Preliminary report, A-386, GROSS, Leonard, Logarithmic Sobolev inequalities, HALANAY, Aristide, See ASNER, Bernard A. A-484. HALE, Douglas F. See BURCHARD, Hermann G. GROSSBERG, Stephen. Limiting distributions of re HALE, Mark P. See DRAKE, David A. verberating neural networks, Preliminary report, HALEY, David K. Note on compactifying Artinian rings, A-280; A neural model of predictability, frustration, and A-252.

A-704 HALL, Japheth, Jr. Geometric rings. Preliminary re groups of transformations. Preliminary report, A-99. port, A-656. HAWLEY, Douglas N. Idempotent multipliers. Prelim HALL, Marshall, Jr. A representation of the Rudvalis inary report, A-271. group. Preliminary report, A-88. HAY, Louise. Index sets in 0' , A-376. HALL, WilliamS. See FINK, James P. HAYDEN, T. L. Nonlinear holomorphic semigroups, HALLAM, Thomas G. On representation and bounded A-159. ness of solutions of a functional differential equation, HAZLEWOOD, Donald G. Sums over positive integers A-121; An analysis of some third order initial value prob with few prime factors, A-55. lems arising in magneto hydrodynamics, A-661. HEAL, E. Robert and WINDHAM, Michael P. Finitely HALLENBECK, David J. A Marx conjecture for the con generated F-algebras with applications to Stein mani vex hulls of some families of univalent functions. Pre folds. Preliminary report, A-149. liminary report, A-ll; Convex hulls and extreme points HEARD, E. A. Kahane• s construction and the weak se of some families of univalent functions. Preliminary re quential completeness of L1, A-330. port, A-264; Some inequalities for convex, starlike, and HEATH, R. W. On monotone normality. Preliminary close-to-convex mappings. Preliminary report, A-325; report, A-186. Convex hulls and extreme points of some families of uni HEATH, R. W. and LUTZER, David J. The Dugundji valent functions. Preliminary report, A -425. extension property implies collectionwise normality. HALLUM, Cecil R. The influence of computing on gen Preliminary report, A-507. eralized inverse applications in statistical analysis. Pre HEATHERLY, Henry E. Near domains, A-75; Near liminary report, A-537. rings on simple groups. Preliminary report, A-315. HALPERN, Benjamin R. Curves of double tangents on HEDRICK, Mark Blondeau. Nearly reducible and nearly immersed surfaces. Preliminary report, A-396. decomposable-special classes of irreducible and fully HALPERN, Fred. A uniform method in model theory, indecomposable matrices, A-48; Two examples of the A-32. behavior of the permanent function, A -256. HALPERN, Herbert. Quasi-equivalence classes of nor HEIDEL, John W. A second order nonlinear boundary mal representations for a separable C*-algebra, A-638. value problem, A-120. HAMILTON, Howard B. Semilattice whose lattice of HElL, Erhard and LAUGWITZ, Detlef. Finsler spaces congruences is modular. Preliminary report, A-30; with similarity are Minkowski spaces, A-498. Congruences on l)l-semigroups. Preliminary report, HEINS, Maurice H. W S N functions, A-616. A-348. HEINZER, William J. See ARNOLD, Jimmy T. HAMILTON, Lynda and PERLMAN, S. J. On some types ---. See BREWER, James W. of derivatives. I. Preliminary report, A-275. ---. See EAKIN, Paul M. HAMMINGER, Robert L. Periodic line digraphs, A-649. HEITMANN, Raymond C. Principal ideal domains with HANDELMAN, David and LAWRENCE, John W. Strongly specified residue fields. Preliminary report, A-385. prime rings. Preliminary report, A-600. HELL, Pavol. Absolute planar retracts and the four HANKERSON, Kenneth L. See KEMPER, Gene A. color conjecture, A-416. HANSCHE, Brian and VUCENIC, Wayne. On then-queens HELMS, Lester L. Ergodic properties of several problems, A-568. interacting Poisson particles, A-592. HANSELL, Roger W. Nonseparable descriptive set HELSON, Henry. Compact groups with ordered duals, theory, A-174. A-388. HARADA, Koichiro. Generalizations of the main theorem HELTON, Jon C. Mutual existence of product integrals, on finite groups of sectional 2-rank at most 4. Prelimi A-16; Existence of sum and product integrals, A-101; nary report, A-98. Product integrals and inverses in normed rings. I, HARARY, Frank. On the enumeration program for trying A-274; II, A-325; Equivalence of integrals in commutative to settle the four-color conjecture, A-384. Banach algebras, A-427. HARE, William R., Jr. See LASKAR, Renu. HEMMINGER, Robert L. Digraphs with periodic line HARE, William R. and THOMPSON, Gerald. The gen digraphs. Preliminary report, A-318. eralized Radon theorem in convex structures. Prelimi HENDRICKS, Walter J. Multiple points for a process in nary report, A-531. R2 with stable components, A-341; A dimension theorem HARLEY, Peter W. III. Closed images of metric spaces, for sample functions of processes with stable compo A-29; Metrix and symmetric spaces, A-675. nents, A-592. HARMS, Paul M. Real function rings, A-416. HENGARTNER, Walter and SCHOBER, Glenn E. Ex HARPER, Lawrence H. Sperner• s theorem for weighted tremal functions and extreme points, A-433; Compact partial orders. Preliminary report, A-44. families of univalent functions, A-491. HARRELL, Carolyn W. See DEBNATH, Lokenath. HENNEY, Dagmar R. Konvexe Summen, A-524. HARRINGTON, Leo A. The ordinals recursive in some HENNEY, Dagmar R. and LINCOLN, Walter. Conti objects of finite type. Preliminary report, A-283. nuous projections of convex sets, A-166; Convex series HARRINGTON, Leo A. and KECHRIS, Alexander S. and applications, A-527. Spector-Gandy theorems for classes of inductively de HENRICI, Peter. Computational complex analysis, fined sets. Preliminary report, A-641. A-546. HARRINGTON, Leo A. , KECHRIS, Alexander S. and HENRIKSEN, Melvin. A class of regular rings that are SIMPSON, Stephen G. !-envelopes of type 2 objects, elementary divisor rings, A-80; Rings generated by their A-587. units. Preliminary report, A-251; Identities that arise HARRIS, Douglas. The upper decomposition of posets. in the solution of the easier Waring problem. Prelimi Preliminary report, A-41. nary report, A-313. HARRIS, Morton E. and GORENSTEIN, Daniel. Finite HENRY, Daniel B. Periodic solutions of the two-phase groups with product fusion, A-94. Stefan problem, A-615. HARRIS, Richard J. Periodic quadratic Jordan algebras, ---. See CANNON, John R. A-83. HENRY, Myron S. Approximate solutions of functional HARRIS, Theodore E. Interactions on a lattice. Pre differential equations. Preliminary report, A-266. liminary report, A-451. ---. See ALLINGER, Glenn D. HARRISON, Ken. Certain distributive lattices of sub HENSON, C. Ward ill. The isomorphism property in spaces are reflexive, A-162. nonstandard analysis. Preliminary report, A-640. HARTLEY, DeanS. ill. Quasi-cellularity in manifolds. HENSON, C. Ward III and MOORE, Lawrence C., Jr. Preliminary report, A-508; More about property SUV00 Invariance of nonstandard hulls of locally convex spaces, and strong quasi-cellularity. Preliminary report, A-595. A-143; Nonstandard hulls in the theory of Banach spaces. HARTSHORNE, Robin. Projective varieties of small Preliminary report, A-143. codimension, A-518. HERMAN, Louis M. Strictly singular elements in HASTINGS, Harold M. Stabilizing tensor products, Baer*-rings. Preliminary report, A-79. A-609. HERNANDEZ, Horacia. A class of compact manifolds HATZENBUHLER, James P. A result on Banach Lie with positive Ricci curvature, A-336.

A-705 HERRE, Heinrich. Nonfinitely axiomatizable theories HOPPENSTEADT, Frank C. Asymptotic stability of of graphs, A-503. singularity perturbed systems, A-679. HERRERO, Domingo A. Normal limits of nilpotent HORA, Rajinder B. Semilattices of simple type, A-382. operators. Preliminary report, A-326; Burnside• s HORN, Alfred. See EPSTEIN, George. theorem for the Frechet space w. Preliminary report, HORNE, Alvin E. See CLAYTON, Dennis D. A-425. HOROWITZ, Joseph. Local times and supermartingales. HERRLICH, Horst. Topological functors. Preliminary Preliminary report, A-398. report, A-86. HOU, Roger H. The functor Qxt on the category End(R). HERRMANN, Christian, RINGEL, Claus Micha and Preliminary report, A-251. WILLE, Rudolf. On modular lattices with four genera HOUSEHOLDER, Alston Scott. On the Euclid-Sturm tors. Preliminary report, A-418. algorithm, A-209. HERRMANN, Robert A. V-filters. Preliminary report, HOWARD, Henry c. Oscillation criteria for non A-173; Nonstandard topological extensions. I. Prelimi homogeneous differential equations. Preliminary report, nary report, A-292; II, A-456; Nonstandard RO(i) strongly A-524. semiregular extensions, A-598. HOWARD, James C. Transformation of aerodynamic HERSH, Reuben. Brownian motion via nonstandard anal stability derivatives by symbolic mathematical computa ysis. Preliminary report, A-199. tion. Preliminary report, A-540. HERZ, Gail C. See AL-HASHIMI, Basil. HOWES, Frederick A. An application of Nagumo• s HEWITT, Edwin. Fourier-Stieltjes transforms of abso lemma to some singularly perturbed systems, A-681. lute value 1, A-138. HOWLETT, Christopher R. Universal algebra in a HEWITT, Edwin and ROSS, Kenneth A. Rearrangements topos. Preliminary report, A-262. of Lr Fourier series on compact Abelian groups, A-526. HOYT, Gaylord M. Some results on cluster sets for IDCKS, Troy L. See CARLSON, John W. functions into a Banach space. Preliminary report, ---. See CRISLER, Wilson R. A-105. IDGGS, Denis A. See CHAN, Wing-man. HSIAO, George C. An application of integral equations IDGMAN, D. G. Schur relations for weighted adjacency of the first kind to viscous flow past cylinders, A-212. algebras, A-95. HSU, F. H. Reachable set at infinite time. Preliminary HILBURN, Thomas B. Peano derivatives in normed report, A-278. linear spaces. Preliminary report, A-486. HSU, Ih-Ching. On a cubic functional equation defined IDLL, C. Denson. Tangential Cauchy-Riemann equa on groups, A-371; Convexity of operator-valued func tions, A-350. tions, A-489; A fundamental functional equation for vec IDLL, Paul D. Commutative groups and the cardinal tor lattices, A-580; On some functional inequalities, connection, A-654. A-636. HILLAM, Bruce P. Subsequential limits and fixed point HSU, Ih-Ching and KULLER, Robert G. Convexity of iterations using infinite matrices. Preliminary report, vector-valued functions, A-437. A-15. HSU, L. C. On the unconditional convergence of an HINDMAN, Neil B. The product ofF-spaces with iteration process, A-577. P-spaces, A-181. ---. See GOULD, Henry W. ---. See CATES, Marshall L. HSU, Nai-Chao. Quasi-homology and universal co HINTON, Don B. Continuous spectra of an even order efficients, A-252. equation, A-660. HUANG, Ter-Jenq. Almost periodic functions on IDRSCHFELDER, John J. Remarks on nonstandard topological groups, A-137. topological vector spaces. Preliminary report, A-141. HUBBARD, John R. Approximation of compact homo HffiZEBRUCH, F. E. P. The Hilbert modular group, geneous maps, A-658. A-518. HUDSON, Richard H. A bound for the first occurrence HO, Chung-Wu. Deforming p.!. homeomorphisms on a of three consecutive quadratic residues, A-59; A note on convex polyhedral 2-disk. Preliminary report, A-191. Dirichlet characters, A-516. HOBBS, Arthur M. Some pan-cyclic squares of graphs. HUDSON, William N. and TUCKER, Howard G. Bivari Preliminary report, A-49. ate limiting distributions for variational series, A-199. ---. See FLEISCHNER, Herbert. HUFF, Gerald B. On pairings of the first 2n natural HOBBS, Arthur M. and MITCHEl\1, John A. The entire numbers, A-55. graph of a bridgeless connected plane graph is Hamil HUFF, Robert E. Dentability and the Radon-Nikodym tonian, A-323. property, A-576. HODEL, Richard E. On the weight of a topological space, HUGGINS, Frank N. Bounded slope variation and a A-506. uniform Lipschitz condition. Preliminary report, A-438; HODEL, Richard E. and VAUGHAN, Jerry E. A note on On the space Bsvm[a, b], A-573. [a, b)-compactness, A-676. HUMI, Mayer. Systems of functional equations on HODGES, Wilfrid A. Algebraic closures need Zorn• s groups, A-129. lemma. Preliminary report, A-252; Infinitary preserva HUMKE, Paul D. Samely ambiguous points of arbitrary tion results for universal maps. Preliminary report, planar sets and functions. Preliminary report, A-34. A-448. HUNEKE, John Phil. An analogue to Kuratowski, A-514. HODGSON, Jonathan P. E. Deleted products for Poincare HUNG, Stephen H. Y. and MENDOLSOHN, N. S. Hand spaces. Preliminary report, A-190. cuffed designs, A-254. HOEHN, Erwin K. H. Properties of stability diagrams HUNKINS, Dalton R. Product type multiple integration for Hill's equation, A-524. formulas. Preliminary report, A-373. HOFFMAN, A. J. See BRAYTON, R. K. HUNT, Richard A. Almost everywhere convergence of HOFFMAN, Anthony E. Radicals of semigroups with Fourier series. Preliminary report, A-137; Singular zero. Preliminary report, A-359. integrals, the Hardy-Littlewood maximal function and HOFMANN, Karl H. Push-outs and strict projective weighted LP spaces, A-393. limits of semilattices, A-5. HUNTER, Christopher. Synthesis problems for self HOGAN, Guy T. Elements of maximal order in finite consistent stellar systems, A-667. 2-groups. Preliminary report, A-602. HUQ, Syed A. Properties of push outs. Preliminary HOLLAND, Anthony S. B. See GOEL, Devendra S. report, A-251. HOLLAND, W. Charles. See GLASS, A.M. W. HURLEY, James F. Normality and terminality in the HOLLEMAN, A. Modular algebras. Preliminary elementary subgroups of Steinberg groups over rings, report, A-631. A-472. HOLMES, John P. Differentiable semigroups, A-673. HUTCHINSON, Joan P. Maps made from Eulerian HOLSZTYNSKI, Wlodzimierz. Mappings into spheres graphs need fewer colors. Preliminary report, A-601. and cubes and applications to u-Cantorian manifolds, HUTTON, Bruce. See REILLY, Ivan L. reductions and compactifications, A-292; Mapping cylin HYAMS, W. H. See ANDERSON, C. K. der operation in categories and shape theory, A-342. IBERKLEID, Wolf. Splitting the tangent bundle, A-25.

A-706 11\IORU, Christopher 0. On an inequality of Leindler. report, A-639. Prel:Jminary report, A-577. JOHN, Chester Charles, Jr. Commutative semigroups INGOLFSSON, Ketill. On the mathematical structure of with d. c. c. on congruences. Preliminary report, A-92. a model converging in a space of semidefinite metric, A-681. JOHNSON, Charles R. Powers of matrices with positive INGRAM, Steven K. Continuous dependence of solutions definite real part. Preliminary report, A-323; Minimum to boundary value problems. Preliminary report, A-578. edge-difference node labelling of tree graphs. Prelimi IONESCU, Tudor. On the generators of semisimple Lie nary report, A-562. algebras, A-568. JOHNSON, Charles R. and DePRIMA, Charles R. The IONESCU-TULCEA, Alexandra. On measurability, range of A -1A*, A-260. pointwise convergence, and compactness, A-392. JOHNSON, George W. The kth conjugate point function IRWIN, John M. The efi-thick problem for abelian for an even order linear differential equation, A-372. p-groups. Preliminary report, A-90. JOHNSON, George W. and WOODWARD, Gordon S. On ISKANDER, Awad A. Functional identities on certain p-Sidon sets. Preliminary report, A-491. rings are recursive, A-54. JOHNSON, Gordon G. An example in fixed point theory, ISMAIL, Mourad El-Houssieny. A sequence-to-function A-670; Linearly independent homeomorphisms on [0, 1], analogue of the Hausdorff means for double sequences. A-489. The [J,f(x,y)] means, A-271. JOHNSON, James Lee. A measure-theoretic study of JACOBOWITZ, Howard J. Extension of isometric em group extensions of dynamical systems, A-621. beddings, A-168. JOHNSON, James S. Finite axiomatizability of finite JACOBSON, R. A. See LI, Ta C. -H. logic, A-30. JAFARIAN, A. A. Weak and quasi-decomposable oper JOHNSON, Marjory Jane. Right ideals and right sub ators. Preliminary report, A-435. modules of transformation near-rings, A-76. JAFARIAN, Ali A. Necessary and sufficient conditions JOHNSON, Peter D. , Jr. Approximation numbers of for decomposability of an operator with nowhere dense diagonal maps between tP spaces. Preliminary report, spectrum. Preliminary report, A-492. A-388; Approximation numbers of diagonal maps from JAIN, Padam C. and PRAKASH, C. V. S. Stability of ,e,P to zq, 1;;; p < q .;;; co. Preliminary report, A-662. hydromagnetic flows in a temperature field, A-334. JOHNSON, Raymond. Convoluteurs of HP spaces. Pre JAIN, R. K. On nonisomorphic Steiner quadruple sys liminary report, A-637. tems, A-514. JONAH, David W. and KONVISSER, Marc W. The num JAIN, S. K. On a class of regular rings that are unit ber of elementary abelian subgroups of a p-group. Pre regular, A-420. liminary report, A-94. ---. See BHATTACHARYYA, S. P. JONES, Gary D. Oscillation criteria for third order JAIN, S. K. and SINGH, Surjeet. Rings in which every differential equations, A-665. left ideal is quasi-projective, A-260. JONES, John, Jr. Operators equations in Hilbert JAMISON, James E. See FLEMING, Richard J. space, A-160. JAMISON, Robert E. Intervals in algebras, A-147; Rep JONES, William B. Estimates of truncation error of resentation of algebraic intervals by continuous functions, approximations based on Pade tables and continued A-491. fractions, A-207. JANOS, Ludvik. A characterization of zero-dimensional JONSSON, Bjarni. Relatively free products in regular spaces. Preliminary report, A-25; On rigidity of sub varieties. Preliminary report, A-7; Finite bases for sets in metric spaces. Preliminary report, A-343; Er certain sums of lattice varieties, A-630. ror estimate characterization of contractions. Prelimi JORDAN, GeorgeS. On the radial growth and zero nary report, A-439; Refinements of chains in distributive distribution of a class of canonical products. Prelimi lattices. Preliminary report, A-471; A representation nary report, A-109. of zero-dimensional spaces, A-593; Topologization of JORDAN, Steven L. Estimating the harmonic length, sets which are mapped into themselves, A-643. A-613. JANOS, Ludvik and CORNING, F. R. Autohomeomor JOSHI, Chandra Mohan and PRAJAPAT, M. L. The phism groups of locally connected spaces. Preliminary operator Tk q and a generalization of certain classical report, A-288. polynomials: Preliminary report, A-489; On some JANOWITZ, Melvin F. See MARTIN, Charles K. properties of a class of polynomials unifying the gen JANSEN, Willem G. F-semiperfect rings and modules eralized Hermite, Laguerre and Bessel polynomials. and quasi-simple modules. Preliminary report, A-564. Preliminary report, A-582; On some properties of the JATEGAONKAR, Arun V. Localization in noncommuta generalized Hermite polynomials. Preliminary report, tive Noetherian rings. Preliminary report, A-81. A-633. JAWORSKI, Allan. The Kakutani-Bebutov theorem. JOSS, Richard R. On Wiener• s shortest-line conjecture, Preliminary report, A-510. A-461. JAYNE, John W. See CRATES, Gladys Hayes. JUNEJA, 0. P. See KAPOOR, G. P. JEFFCOTT, Barbara. Commuting observables in a JUNEJA, 0. P., KAPOOR, G. P. and BAJPAI, S. K. u-orthologic, A-52. On (p, q)-order and lower (p, q)-order of an entire func JELTSCH, Rolf. Multistep methods using higher deriv tion. Prelilp.inary report, A-329; On (p, q)-type and atives and E-stability, A-335; Existence and uniqueness lower (p, q)-type of an entire function. Preliminary re of a continuous solution of a nonlinear first kind Volterra port, A-582. integral equation, A -580. JUNGHENN, Hugo D. and TAAM, Choy-Tak. Arcs ---. See GLADWIN, Charles J. defined by one-parameter semigroups of operators, JENSEN, Don Cook. Isolation of types in arithmetic. A-275. Preliminary report, A-340; The complete theories KAHN, Peter J. Mixing homotopy types of manifolds. realized by submodels of arithmetic, A-502; On the im Preliminary report, A-646. bedding order amongst complete extensions of arith KAINEN, Paul C. Arbitrary coefficients for cohomology. metic. Preliminary report, A-590. Preliminary report, A-401; The chromatic number of a ---. See EHRENFEUCHT, Andrzej. graph with specified skewness, A-653. JENSEN, Lawrence P. Commutative algebras of KAISER, Klaus. Axiomatizability of quasi-universal degree 1, A-519. model classes and some residual theorems, A-53. JEROSLOW, R. G. Defining hypercube vertices by KALABA, Robert E. See SCOTT, Melvin R. linear inequalities. Preliminary report, A-333; Prob KALLMAN, Robert R. A theorem in the representation lems unsolvable by branch-and-bound, A-440. theory of totally disconnected groups. Preliminary re JHU, Ronald. a-finite topology on 2a. Preliminary port, A-574; Two theorems on CCR groups, A-643. report, A-339. KALMBACH, Gudrun. Orthomodular logic, A-34. JIMENEZ, Luis R. See MYUNG, Hyo Chul. KALTON, Nigel J. and RUCKLE, William H. A series JOCKUSCH, Carl G. , Jr. , RUBEL, Lee A. and characterization of Lp(JL) spaces, A-427. TAKE UTI, Gaisi. First order topology. I. Preliminary KAMMLER, David W. Existence of best approximations report, A-590; First order topology. II. Preliminary by sums of exponentials in Lp[O, +co). Preliminary re-

A-707 port, A-526. liminary report, A-41. KANG, Andy N.C. A formula for the partition function. KELMAN, Robert B. See FEINERMAN, Robert P. Preliminary report, A-647. KELTERBORN, Marian Joan. Abstract uniform struc KANNAN, Dhandapani. Generalized Langevin equation tures and uniform spaces with the same completion. and the blasted particle. Preliminary report, A-375; Preliminary report, A-595. Potential operators for perturbed Markov processes. KEMPER, Gene A. and HANKERSON, Kenneth L. Com Preliminary report, A-670. puter supplemented business oriented mathematics, KANNAN, V. and RAJAGOPALAN, M. On countable A-546. locally connected spaces. Preliminary report, A-170. KEMPER, John T. On the support of representing KANNAPPAN, Palaniappan. Groupoids and groups, measures for harmonic functions. Preliminary report, A-88; On Moufang and extra loops, A-654. A-113. KANTOR, W. M. See CURTIS, Charles W. KENT, Darrell C. and RICHARDSON, Gary D. Cauchy KAPOOR, G. P. See JUNEJA, 0. P. spaces, A-533. KAPOOR, G. P. and JUNEJA, 0. P. On the lower order KEOGH, Frank R. On spiral-like univalent functions. of functions analytic in the unit disc. Preliminary report, Preliminary report, A-105. A-490. KEOWN, R. The cohomology of H X K for finite groups KAPPE, Luise-Charlotte. On cyclic commutator sub H and K, A-520. groups. Preliminary report, A-364. KERVIN, Michael. Bounded .e 2-direct sums of Hilbert KARAMARDIAN, Stepan. Complementarity problems algebras, A-150. over cones with monotone and pseudo-monotone maps. KETONEN, Jussi. On Banach spaces of large cardinality. Preliminary report, A -667. Preliminary report, A-426. KARIAN, Zaven A. On the inhomogeneous minima of KEVORKIAN, J. Resonance in systems with slowly binary Hermitian forms over the imaginary quadratic varying coefficients and small nonlinearities, A-681. fields. Preliminary report, A-59. KHABBAZ, Nabil A. Generalized pushdown acceptors. KARLOF, John K. The subclass algebra associated with Preliminary report, A-18; An uncountable number of a finite group and subgroup, A-424. infinite hierarchies, A-295. KARLOVITZ, Les A. See BAUER, W. KHATCHATOORIANTZ, Ludwig A. On the regularity of KARNIK, S. M. Abstract geometries. Preliminary the soh1tion of a certain nenlinear evolution equation. report, A-443; Topological boundedness. Preliminary Preliminary report, A-353. report, A-511. KIERNAN, Peter J. Hyperbolically imbedded spaces KARTSATOS, Athanassios G. Bounded solutions to per and the big Picard theorem, A-116. turbed nonlinear systems and asymptotic relationships. KILGORE, Theodore Albert. A theorem on Lagrange Preliminary report, A-270; On almost periodic solutions interpolation, A-495. to nonlinear systems. Preliminary report, A-327; A KILTINEN, John 0. On the number of field topologies boundary value problem on an infinite interval, A-428; on an infinite field, A-9.8. A general comparison theorem for nth order equations. KIM, Chong-Rae. Unrestricted convergence of approxi Preliminary report, A-573; A stability problem of the mate identities in product spaces, A-328. solution of a boundary value problem on an infinite inter KIM, Dong Sie. The Caratheodory distance in a ringed val. Preliminary report, A-638. space, A-522. ---. See SAFF, Edward B. KIM, Jin Bai. A generalization of a homomorphism KARTSATOS, Athanassios G. and MANOUGIAN, Manoug of a group. Preliminary report, A-93. N. Perturbations causing oscillations of functional KIM, Jeong Ho. Power invariant rings, A-76. differential equations, A-488. KIM, Moon Wuki. On fixed points of commuting non KASRIEL, Robert H. See CAIN, George L., Jr. expansive functions. Preliminary report, A-487. KATZ, Irving J. Theorems on products of EPr KIMBERLING, Clark H. Congruence factoring of poly matrices. II, A-518. nomials, A-63; Identities found by evaluating symmetric KATZ, Nicholas M. Some remarks on differential equa functions. Preliminary report, A-514. tions in algebraic geometry, A-70. KIMURA, Naoki and WILLIAMS, James L. Tensor KAUFFMAN, Louis H. Branched coverings, open books product of complete semllattices. Preliminary report, and knot periodicity, A-619. A-515. KAUFFMAN, Robert M. The L2 behavior of some KINCAID, David R. See YOUNG, David M. coupled linear ordinary differential equations, A-120; KIRK, Joe E., Jr. The uniformizing function forcer Two types of hyperinvariant subspaces, A-459. tain Riemann surfaces, A-109. KAUFMAN, Robert P. Exponential integrals and KIRK, Ronald B. See FOLAND, Neal E. Kronecker sets. Preliminary report, A-387; Singular KIRWAN, William E. Extremal properties of functions measures and increments of Brownian motion, A-397. with bounded boundary rotation. Preliminary report, KAZARINOFF, Nicholas D. See BLOOM, Clifford 0. A-572. KAZARINOFF, Nicholas D. and MEDEffiOS, L. A. KITTO, Rebecca R. Fourier self-transforms on self Initial-boundary value problems for hyperbolic equations dual groups. Preliminary report, A-429. in time-dependent domains, A-126. KLAMKIN, Murray S. Cevian inequalities, A-167. KECHRIS, Alexander S. See HARRINGTON, Leo A. KLASS, Michael Jay. Enumeration of partition classes KEESLING, James E. Shape theory and topological induced by permutation groups, A-347. groups, A-183. KLEE, Victor L., Jr. Convex polytopes and linear KEIGHER, William F. Differential categories are programming, A-531; Polytope pairs and their relation cotripleable. Preliminary report, A-419; Premodels of ship to linear programming, A-682. differential fields and the associated d-scheme. Prelimi KLEIN, Benjamin G. See COVEN, Ethan M. nary report, A-474. KLIMAS, A. and SANDRI, Guido. Uniformization of KELEMEN, Peter J. Quantum mechanics, quantum field perturbed rotations with multiple time scales, A-372. theory and hyper-quantum mechanics, A-212. KNIGHT, Julia F. Theories with finitely many w-models. KELLER, Gordon E. See ALEX, Leo J. Preliminary report, A-283; Omitting types in arithmetic KELLER, Herbert B. Accurate difference methods for and set theory, A-588. nonlinear two-point boundary value problems, A-207. KNIGHT, William J. Solutions of differential equations KELLUM, Kenneth R. Another characterization of con in a B-space, A-572. nectivity functions. Preliminary report, A-186; Almost KNILL, Ronald J. The Seifert and van Kampen theorem continuous retracts, A-672. for covering spaces, A-189. KELLY, David. Basic equations: word problems and KNOBLAUCH, Tom. Imbedding compact 3-manifolds in Mal• cev conditions, A-54. E3 A-647 KELLY, David and RIVAL, Ivan. Fences, crowns and KNOEBEL: R. Arthur. A decomposition theorem for dismantlable lattices, A-421. multi-sorted algebras, A-677. KELLY, Douglas G. and DOWLING, Thomas A. Strong KNOWLES, R. J. Summability bases in locally convex map factorizations of combinatorial geometries. Pre- spaces. Preliminary report, A-326.

A-708 KNOWLES, R. J. and COOK, Thurlow A. Results on KUAN, Wei-Eihn. A note on a lemma of Zariski and Auerbach bases for finite-dimensional normed spaces, higher derivations, A-316. A-660. KUBOTA, Kenneth K. Zeros of third order linear re KOEHLER, Anne B. Rings with quasi-injective cyclic currences. Preliminary report, A-517. modules, A-417. KUEKER, David W. Free and almost-free algebras. KOEHLER, Donald 0. and GILES, John R. On numerical Preliminary report, A-31; Automorphisms of models ranges of elements oflocally m-convex algebras, A-152. with cardinality cofinal with w, A-450. KOHLS, Carl W. See REYNOLDS, William H. KUELBS, James D. The law of the iterated logarithm KOMKOV, Vadim. Some applications of nonstandard for symmetric stable laws in Hilbert space. Preliminary analysis to mathematical physics. Preliminary report, report, A-24. A-100; A technique of nonstandard proofs for ordinary KUHN, William W. Analysis of disagreement in signal differential equations, A-366. detection, A -3 78. KONVISSER, Marc W. 2-groups which contain exactly KUIPER, Hendrik J. Eigenvalue problems for non 3 involutions, A-93. continuous operators associated with quasi-linear elliptic ---. See JONAH, David W. equations. Preliminary report, A-433. KOO, Shu-Chung. Recursive properties of transforma KULLER, Robert G. See HSU, Ih-Ching. tion groups in hyperspaces. Preliminary report, A-381. KULSHRESTHA, Prem K. Asymptotic behavior of a KOPER, C. A., Jr. See FEINERMAN, Robert P. class of integrals. Preliminary report, A-17; Bounded KOPPELBERG, Sabine. Free subalgebras of complete Robertson functions. Preliminary report, A-521. Boolean algebras, A-418. KUNDU, Sukhamay. Factorization of multi-graphs, de KORVIN, Andre. See ALO, Richard A. A-260. ---. See CHENEY, Charles Alex. KUNES, Laurence E. See ALO, Richard A. de KORVIN, Andre and KUNES, Laurence E. Operators ---. See de KORVIN, Andre. on bounded functions of Lp, A-14; Operators from X into KUPERBERG, W. An example related to the fixed points Lp where X is reflexive, A-271. theory, A-378; Mapping arcwise connected continua onto de KORVIN, Andre and ROBERTS, Charles. A reduction cyclic continua, A-674. theorem for the representation of averaging operators. KUYK, Willem. See BOGO, J. Preliminary report, A-436; Some properties on averaging KYRALA, Ali. Integrodifferential equations of real and operators in Banach function spaces, A-493. complex Markov chains, A-682. de KORVIN, Andre, KUNES, Laurence E. and ALO, LABBE, Marcel Adrien. Isomorphisms of continuous Richard A. Operators with range in Lp, A-15. function spaces. Preliminary report, A-574. de KORVIN, Andre, ROBERTS, Charles and ALO, LACHER, R. Christopher. Maps with locally trivial Richard. Averaging operators in Banach function spaces. euler characteristic on prime 3-manifolds are cellular, Preliminary report, A-330. A-196. KOSCHORKE, Ulrich. Bordism of manifolds with line LADA, Thomas. Strong homotopy D-algebras. Pre element fields. Preliminary report, A-289; Two-plane liminary report, A-190. fields and bordism, A-462; Nondegenerate singularities LADDE, Gangaram S. See LEELA, S. of 2-fields and 2-codimensional foliations, A-535; Con LADDE, Gangaram S., LAKSHMIKANTHAM, V. and cordance classes of line fields, A-646. LIU, Pan-Tai. Differential inequalities and stability KOSTKA, David G. On Khintchine• s estimate for large and boundedness of stochastic differential equations. deviations, A-377. Preliminary report, A-119. KOTLOW, Daniel B. See CANNON, John R. LADNER, Richard E. Subrecursive reducibilities, A-21. KOTZIG, Anton. See BERMAN, Abraham. LADY, Everett Lee. Almost completely decomposable KOUTROUFIOTIS, Dimitri. Mappings by parallel torsion free abelian groups. Preliminary report, A-319; normals preserving principal directions, A-375. Summands of finite. rank torsion free abelian groups, KRABILL, James Richard. See BUTLER, Kim Ki-Hang. A-562. KRAMER, Earl S. Indecomposable triple systems. Pre LAETSCH, Theodore. A convex two point boundary liminary report, A -3 20. value problem, A-124. KRAMER, Earl S. and MESNER, Dale M. A 3-dimen LAGRANGE, Jean. See BATEMAN, Paul T. sional Room design of side 7 exists. Preliminary re LAHR, Charles Dwight. Multipliers for ;, 1-algebras port, A-317. with approximate identities, A-140. KRANZER, Herbert C. See GORELICK, Michael R. LATSON, Diane. See LATSON, Gary B. KRAUSS, Peter H. On the embedding and amalgamation LATSON, Gary B. and LATSON, Diane. Topological properties. Preliminary report, A-283. dynamics on C*-algebras, A-621. KREYSZIG, Erwin 0. On a differential operator by LAKEIN, Richard B. Computation of the ideal class E. Pesch! and K. W. Bauer, A-266. group in certain complex quartic fields. Preliminary KRISHNAN, V. Sankriti. Semiuniform trigroupoids and report, A-62; Complex rational approximations over quasi-groups. Preliminary report, A-360. Q(p). Preliminary report, A-601. KROM, Melvin R. Cartesian products of metric Baire LAKSER, H. See GRATZER, George A. spaces, A-355. LAKSHMIKANTHAM, V. See BERNFELD, Stephen R. KRONK, Hudson V. E. and MITCHEM, John A. Critical ---. See LADDE, Gangaram S, point-arboritic graphs, A-256. LANDAUER, Christopher. Simple groups with 9, 10 and KROONENBERG, Nelly. Pseudo interiors of hyper 11 conjugate classes. Preliminary report, A-93. spaces, A-671. LANDESMAN, Edward M. A Rayleigh-Ritz type algo KROPA, James C. Connectedness of noninvertible rithm for a class of "Max. -Min." problems. Prelimi elements in semigroups. Preliminary report, A-674. nary report, A-637. KRUEGER, Charles G. Strong stability in semigroups LANGE, Ridgley. Complemented subspaces of de of non-single-valued mappings. Preliminary report, composable operators. Preliminary report, A-266. A-18; Star admissible topological vector spaces. Pre LA PALM, James. Contributions to existence theory for liminary report, A-143. Lagrange problems. Preliminary report, A-163. KRUSE, Robert L. Identities satisfied by a finite ring, LAPLAZA, Miguel L. Coherence forInt-Hom. Pre A-79. liminary report, A-83. KRZYWOBLOCKI, Maria Z. v. Quantum vs. classical LARMORE, Lawrence L. The single obstruction to em representation of mathematical fluid dynamics. Pre bedding and isotopy. Preliminary report, A-189, liminary report, A-395; Mathematical elements in LARSEN, Max D. See BOISEN, Monte B. , Jr. micro-macro approach to turbulence. Preliminary re LARSEN, Max D., LEWIS, William James and SHORES, port, A-617. Thomas S. Bezout rings which are Hermite, A-66; Ele KU, Hsu-Tung and KU, Mei-Chin Hsiao. Montgomery mentary divisor rings, A-66. Yang invariants and free smooth actions. Preliminary LARSON, Roland E. Complementary topological proper report, A-645. ties, A-176. KU, Mei-Chin Hsiao. See KU, Hsu-Tung. LASALLE, Margaret M. Absolute convergence in

A-709 Hk(Tn, V). Preliminary report, A-534. theorems for solutions to formally parabolic equations of LASKAR, Renu. See AUERBACH, Bruce. the form Put= -Au+ §(u). Preliminary report, A-366. LASKAR, Renu and AUERBACH, Bruce. On r-partite LEVINE, Jack. See BRAWLEY, Joel V. graphs. Preliminary report, A-649. LEVINE, Jeffrey M. A topology on the set of maximal LASKAR, Renu and HARE, William R., Jr. The chrom right ideals. II, A-361. atic polynomial of a complete r-partite graph, A-655. LEVITAN, Michael L. and SMOLOWITZ, Lawrence H. LASKAR, Renu and PELLERIN, Henry Arthur. On Limit theorems for reversible Markov processes. Pre r-lattice graphs. Preliminary report, A-254. liminary report, A-198. LATCH, Dana May. On derived functors of limit, A-86. LEVOW, Roy B. Realizable sets of boundary colorations. LAUER, Norma F. Countable dense homogeneity of prod Preliminary report, A-651. ucts of universal curves and manifolds, A-670. LEVY, Lawrence s. and ROBSON, J. C. Matrices and LAUGWITZ, Detlef. See HElL, Erhard. pairs of modules, A-82. LAWRENCE, John W. A primitive ring with nonzero LEVY, Ronnie Fred. Baire spaces and Blumberg func singular ideal, A-519; Primitive group rings. Prelimi tions. Preliminary report, A-292. nary report, A-560. ---. See FREIWALD, Ronald C. ---. See HANDELMAN, David. LEWAND, Robert Edward. Extending a Jordan ring LAWRENCE, Shari L. Cycle-star Ramsey numbers. homomorphism, A-261. Preliminary report, A-420; Bipartite Ramsey theory. LEWIN, Jacques. A matrix representation and an ap Preliminary report, A-562. plication to PI algebras, A-422. LAWRENCE, Shari L. and PARSONS, Torrence D. LEWIS, Harry R. The decision problem for formulae Path-cycle Ramsey numbers, A-252. with a bounded number of atomic subformulae. Pre LAWSON, Jimmie D. Joint continuity in semitopological liminary report, A-23; Krom formulas with one dyadic semigroups, A-91. letter. Preliminary report, A-500. LAWSON, Terry Curtis. Nontrivial h-cobordisms be LEWIS, Jeff E., FABES, Eugene B. and RIVIERE, tween a manifold and itself. Preliminary report, A-191. Nestor M. Parabolic singular integrals and the Navier LAZAR, Aldo J. and TAYLOR, Donald C. Derivations Stokes equations, A-611. on Pedersen• s ideal of a C*-algebra. Preliminary re LEWIS, John L. A three space analogue of a theorem port, A-265; Double centralizers of Pedersen• s ideal of of Suffridge. Preliminary report, A -113. a C*-algebra. Preliminary report, A-324. ---. See BARNARD, Roger W. LAZAROV, Connor and WASSERMAN, Arthur G. Free LEWIS, John L. and BARNARD, Roger W. Subordination complex actions of life groups, A-618. theorems for some classes of univalent functions. Pre LEACH, Ronald J. Coefficients of symmetric functions liminary report, A-486. of bounded boundary rotation. Preliminary report, LEWIS, Lawrence G. A generalized prime end metric, A-432. A-111. LEBOVITZ, Norman R. and SCHAAR, Richard J. The LEWIS, Roger T. Oscillation criteria for fourth order singularly perturbed initial-value problem when the re linear differential operators, A-265; The oscillation of duced path encounters a point of bifurcation. Preliminary even order selfadjoint differential operators, A-327; report, A-678. The discreteness of the spectrum of selfadjoint, even LEE, Chung N. and WASSERMAN, Arthur G. On the order, one-term, differential operators, A-658. group JO(G), A-619. LEWIS, William James. See LARSEN, Max D. LEE, Matthew C. Y. On the ranges of Toeplitz opera LI, Ta C. -H. and JACOBSON, R. A. Brianchen and tors. Preliminary report, A-153. Pascal property of a polygon-conic system. Preliminary LEE, Ming-Jung. shm maps and disconnected report, A -3 53. H-spaces. Preliminary report, A-190. LI, Tien-Yien. Existence of solutions for ordinary LEE, Sa-Ge. The left Weyl spectrum. Preliminary differential equations in Banach spaces. Preliminary report, A-570. report, A-663. LEE, WillY. K. On the Cauchy problem of the differen LIANG, Chao-Chu. Free smooth Zp action on homotopy tial operator SIL, A-126. spheres. Preliminary report, A-508. LEE, You-Hwa. Asymptotic properties of convolution LICHTENBAUM, Stephen. Values of zeta and L-func products of sequences. Preliminary report, A-132. tions, A-603. LEEB, Klaus. Ramsey categories with Ramsey labels. LICK, Don R. An upper bound on the point-arboricity Preliminary report, A-320. of a graph, A-9; The k-point-arboricity o_f a graph, A-47. LEELA, S. See BERNFELD, Stephen R. LIDDELL, Michael J. Separable topologwal algebras. LEELA, S. and LADDE, Gangaram S. Global results Preliminary report, A-85. and asymptotically self-invariant sets, A-119. LIEB, Elliott H. Some convexity and subadditivity prop LEHMAN Eugene H. Correlation entre Cramer-Von erties of entropy in quantum mechanics, A-605. Mises Wft et Lehman-Lizee-St. Onge Ln. Preliminary LIEBERMAN, Gerald J. Pullbacks and localization. report, A-198. Preliminary report, A-188. LEHMAN, R. Sherman. Factoring large integers, A-61. LIGH, Steve. The structure of certain classes of near LEHMER, Derrick H. The influence of computing on rings A-75; Near rings on certain groups, A-257. research in number theory, A-599. LIM,' Teck-Cheong. A fixed point theorem for families LEININGER, Charles W. The Hausdorff moment prob of nonexpansive mappings, A-489; Characterizations of lem for a nondecreasing computable function, A-32. normal structure, A-570. LELAND, Kenneth 0. Computer generated winding LIN, Bor-Luh. See ALTSHULER, Zvi. numbers and integer valued analogues of the log func LINCOLN, Walter. See HENNEY, Dagmar R. tion. Preliminary report, A-434. LIND, Douglas A. A Rokhlin theorem for n-dimensional LELEK, Andrzej. A sum theorem for confluent map flows. Preliminary report, A-102. pings, A-672. LINDBERG, John A., Jr. Inverse producing extensions LENIHAN, Bill. See CHAN, Wing-man. of normed algebras. Preliminary report, A-149. LEONARD, Philip A. and WILLIAMS, Kenneth S. Char LINDGREN, William F. See FLETCHER, Peter. acter sums and cyclotomic fields with unique factoriz LINDNER Charles c. A note on the construction of ation, A-629. nonisomo~hic Steiner quadruple systems. Preliminary LEPSON, Benjamin. Bounds forK. Pearson• s measure report, A-47; Some remarks on the Steiner triple sys of skewness for continuous unimodal probability dis tems associated with Steiner quadruple systems, A-648. tributions, A-608. ---. See MENDELSOHN, N. S. LERON, Uri. Multilinear identities of the matrix ring, LINDNER, Charles C. and STRALEY, Tina H. A note A-71; Nil polynomials, power-central polynomials and on nonisomorphic reverse Steiner quasigroups, A-47. a generalized Herstein• s conjecture, A-416. LINTON, Ronald C. ;\-large subgroups of CA -groups, LESLEY, Frank David. See GULLIVER, Robert. A-87; Fully invariant subgroups of totally projective LEUTWILER, Heinz. See ARSOVE, Maynard G. abelian groups. Preliminary report, A-650. LEVINE, Howard A. Some nonexistence and instability

A-710 LIPMAN, Joseph. Local duality and rational singulari LUXEMBURG, Wilhelmus A.J. Some applications of the ties. Preliminary report, A-385. theory of monads to Boolean algebras, A-31; On a prime LIPSCHUTZ, Martin M. Radiation conditions for the ideal extension theorem, A-52. elastic body, A-278. MA, Yln-Cheong. Covariance algebras of operator LIPSCHUTZ, Seymour. Identity theorems in Greendlin valued measures. Preliminary report, A-270. ger groups. Preliminary report, A-89. MacGREGOR, Thomas H. Hull subordination and ex LIPSCHUTZ-YEVICK, Miriam A. A formalism of tremal problems for starlike and spirallike mappings, holographic operations, A-446; Use of the norm for re A-268; Convex and starlike functions of order a. Pre constructing the hologram, A-499; Holographic associa liminary report, A-432. tion, A-586; Cantor diagonalization holographically rea MACHUCA, Raul G. A rank plus nullity theorem, A-360. lized, A-607; Holographic deconvolution and decross MADAN, Ved P. and CHEN, M. On duct flow of a linear correlation. Preliminary report, A-640. viscoelastic fluid, A-20. LIU, Chamond. Cohomology of locally compact groups. MADISON, E. W. The existence of nonsimple construc Preliminary report, A-645. tive extensions of the Boolean algebra of clopen sets of LIU, Dar-Biau. Algorithm and estimate for the nth the Cantor space, A-283. derivative. Preliminary report, A-30. MADYCH, Wolodymyr R. On Littlewood-Paley func LIU, Kuang Chi. An expansion theorem for the twisted tions, A-526. product with applications. Preliminary report, A-543. MAETZKE, Jiirgen. A class of nuclear spaces, which LIU, Pan-Tai. See LADDE, Gangaram S. are not Schwartz spaces. Preliminary report, A-486. LIU, Tal-Ping. System of hyperbolic conservation laws MAFFEI, JohnS. A cobordism theory for k-mersions. without convexity conditions, A-126. Preliminary report, A-535. LLOYD, Stuart P. Two lifting theorems, A-528. MAGIDOR, Menachem. The first supercompact can be LO, Wen-So. A spectral approximation theorem for the first strongly compact. Preliminary report, A-23; bounded linear operators. Preliminary report, A-146. The first strongly compact can be the first measurable. LOEB, Peter A. An introduction to nonstandard analysis Preliminary report, A-501. with applications to the generation of new "standard'• MAGIDOR, Menachem and MALITZ, Jerome I. Com sample spaces for probability theory, A-203. pact extensions of LQ. Preliminary report, A-501. LOEWY, Raphael and SCHNEIDER, Hans. Indecompos MAGLIVERAS, Spyros S. On transitive extensions of able cones, A-477. the Higman-Sims group, A-316, LOMONACO, S. J., Jr. The fundamental ideal and 1r2 MAGLIVERAS, Spyros S. and YU, L. C. The maximal of higher dimensional knots, A-187, subgroups of PSU3(52). Preliminary report, A-474. LONG, Andrew F., Jr. Factorization of irreducible MAGNANT!, Thomas L. Computations in pregeome polynomials over a finite field with the substitution x:Jlr - tries. Preliminary report, A-42, X for x. n, A-62. MAHONY, Louie M. Free actions on manifolds. Pre LONGYEAR, Judith Q. Certain m. o.l. s. as groups, liminary report, A-26; Integral representation theory A-35; Tactical constructions, A-257; Small configura on manifolds. Preliminary report, A-451; The K-theory tions and their arrays, A-418; The circuit basis in binary of the symmetric groups, Preliminary report, A-507. matroids, A-563. MAHONY, Louie M., ROY, P. and WALSH, John J. ---. See BOGART, Kenneth P. Plumbing 3-manifolds along trees. Preliminary report, LOPEZ, Jorge M. Some results on Fatou-Zygmund A-456. sets. Preliminary report, A-430. MAHROUS, Mohamed A. A mathematical model for the LORIMER, PeterJ. andCOCKAYNE, E. J. OnRamsey Basilar membrane. Preliminary report, A-215. numbers for stars and stripes, A-478. MAKKAI, Michael. A proof of K. A. Baker• s finite-base LOTKIN, Mark M. Calculation of associated Legendre theorem, A-254; More on definability, A-338; Gener functtons, A-15. alized Vaught sentences, A-443. LOUD, Warren S. Asymptotic behavior of stability MAKOWSKY, Johann Andreas. On continuous quantifiers. regions for Hill• s equation, A-524. Preliminary report, A-502. LOVELADY, David L, Boundedness and linear equa MALITZ, Jerome I. See MAGIDOR, Menachem. tions on the whole line, A-117. MALONE, J. J. Generalized quaternion groups and LOVIS, F. B. and ZAHAR, R. V. M. The integration of d. g. near rings, A-76, computing and mathematics at the Open University. MALRAISON, Pierre J., Jr. Fibrations as triple al Preliminary report, A-541. gebras. Preliminary report, A-83. LOWENTHAL, Francis. Some results on measure and MALVIYA, Banshi D. Finite dimensionality and duality category in a-recursion, A-450. of B*-algebras, A-459, LOWENTHAL, Franklin, See DAVIS, Don B. MANDELBERG, Kenneth I. On the classification of LUBELL, David. Comparability graphs and a gener quadratic forms over semilocal rings, A-652, alization of a theorem of Sperner. Preliminary report, ---. See BANG, Cb,ang Mo. A-602, MANDL, Robert. Explicit bounds on runs of divisors in LUmN, Arthur. Isometries of *-invariant subspaces of the decomposition of g(n). Preliminary report, A-314; H2(D), A-156; Extensions of measures and the von A combinatorial problem in the theory of finite Markov Neumann selection theorem, A-370. chains, A-591; Explicit results on the ratio of consecu LUCKE, James B. Locally compact, u-compact, tive primes, A-600. noetherian domains, A-68, MANICKAM, S. and AGRAWAL, Jagdish C. Delta se LUECKE, Glenn R. A note on quasi-diagonal and quences and an intermediate value theorem, A-100. quasi-triangular operators, A-159. MANN, Henry B. Additive group theory. A progress LUEDEMAN, John K, A generalization of the trans report, A-37. lational hull of a semigroup, Preliminary report, A-89. MANN, James M. Signed b-adic partitions. Prelimi LUEHR, Charles P. and ROSENBAUM, Marcos. Axio nary report, A-38, matic theory of spinor connections in general relativity, MANOUGIAN, Manoug N. See KARTSATOS, A-213, Athanassios G. LUKS, Eugene M. See DEDECKER, Paul. MARCHETTO, Dennis A. n-Btepanoff-like flows on LUM, Lewis. A quasi order characterization of compact orientable surfaces of' positive genus. Pre smooth continua, A-532. liminary report, A-346. LURYE, Jerome R. Wave height and wave resistance MARCUS, Leo. On minimal models, A-340. In the presence of a viscous wake, A-212. MARCUS, Michael B. Asymptotic maxima of continuous LUTZER, David J. Batre spaces and some generalized Gaussian processes. Preliminary report, A-398. completeness properties. Preliminary report, A-176, MARDEN, Morris. Harmonic interpolation polynomials ---. See BURKE, Dennis K. in R3, A-438, ---. See HEATH, R. W, MARDE~IC, Sibe, Pairs of compacta and trivial shape, LUTZER, David J. and MARTIN, Harold. A note on the A-29. Dugundji extension theorem. Preliminary report, A-452. MAREK, Witek. {J0 -models for analysis and reflection

A-711 properties, A-504. McCARTY, Carl P. Functions with real part greater MARGULIES, William. Envelopes of families of curves than a, A-265. and solutions to ordinary differential equations. Pre McCLURE, Donald E. Asymptotic eigenvalue distribu liminary report, A-118, tions for closed algebras of finite Hermitian Toeplitz MARKANDA, Raj. Euclidean rings of algebraic num matrices. Preliminary report, A-257, bers and functions, A-3·21. McCONNELL, J, C. Representations of solvable Lie MARKLEY, Nelson G. Substitution-like minimal sets. algebras and the Gelfand-Kirillov conjecture. Pre Preliminary report, A-620. liminary report, A-419. MARSDEN, Edwin L. Distribution in orthomodular McCOY, James W. and BACHELIS, Gregory F. Left lattices, A-51. centralizers of an H*-algebra, A-144. MARSHALL, Albert W. and OLKIN, Ingram. Majoriza McCOY, Peter A. Value distribution of generalized tion in multivariate distributions, A-462. axisymmetric potentials, A-110. MARTIN, Charles Fontaine. On infinitely indexed McCREA, Michael M. The Gleason parts of the unit Doner-Tarski operations. Preliminary report, A-354; ball of the operators on a Hilbert space. Preliminary Doner-Tarski operations restricted to limit ordinals. report, A-160. Preliminary report, A-444. McDANIEL, Wayne L. See HAGIS, Peter, Jr. MARTIN, Charles K. and JANOWITZ, Melvin F. Rings McDONALD, Robert E. On Redei subgroups containing whose matrix rings are Rickart. Preliminary report, their centralizers. Preliminary report, A-8. A-79. McDOWELL, Kenneth. Gorenstein dimension for MARTIN, Clyde F. Equilibrium points of linear sys coherent rings, A-364. tems, A-545. McELIECE, Robert J. See DELSARTE, Philippe. MARTIN, Harold W. c-semistratifiable spaces. II. McGEHEE, 0. Carruth. Fourier transforms and Preliminary report, A-29. measure-preserving transformations, A-387. ---. See LUTZER, David J. McGRATH, Stephen A. An ergodic theorem for convex MARTINEZ, Jorge, Structure of Archimedean lattices. combinations of isometrics induced by point transforma Preliminary report, A-259; Purity and hyper tions of the unit interval, A-276. archimedean modules. Preliminary report, A-416. McKENZIE, Ralph. Simple undecidable problems about MARVER, James M. Characterization of subrepresen finite groupoids. Preliminary report, A-505. tations of the left regular representation of a compact McKIBBEN, William P. Distributions for orthogonal group. Preliminary report, A-387. polynomials whose recurrence is almost uniform. Pre MARX, Morris L. Extensions of normal immersions of liminary report, A-664. Sl into R2, A-193; An algorithm to produce the inter McKINNEY, James R. On maximal simplices inscribed section sequence from the Blank-Marx word. Prelimi in a central convex set. Preliminary report, A-586. nary report, A-402, McKINNEY, Judith Reeves. Kernels of measures on MARXEN, Donald J. The topology of the free topological completely regular spaces. Preliminary report, A-430. semigroup, A-99. McKNIGHT, C. K. See ANDERSON, C. K. MASANI, Pesi R. and ROSENBERG, Milton. Bochner's McLAUGHLIN, Harry W. See GILLOTTE, Michael J., theorem on the multiplication operator for arbitrary lo Jr. cally compact abelian groups, A-604. McLAUGHLIN, Harry W. and SOMERS, Kay B. A gen MASAT, Francis E. Right group and group congruences eralization of strong unicity, A-571. on a regular semigroup, A-318; Right simple congruences McLAUGHLIN, James R. Absolute convergence of on a semigroup, A-356. series of Fourier coefficients, A-431, MASIH, Samuel. On the fixed point index and Nielsen McMASTER, Robert J. Cotorsion theories in Mod R. fixed point theorem of symmetric product mappings, Preliminary report, A-472. A-594. McMILLAN, Daniel R., Jr. Uncovering some proper MASON, Donald. The functions which operate on Fourier ties of the fundamental group, A-197. Stieltjes transforms of certain subvector spaces of McMULLEN, Peter. Monotypic polytopes and their M('li'), A-389, intersection properties, A-166. MASON, William K. Fixed points of orientation revers McNAUGHTON, Robert and ZALCSTEIN, Yechezkel. ing, pointwise almost periodic homeomorphisms on s2, The Burnside problem for semigroups, A-601. A-597. McNULTY, George Frank. Structural diversity in the MASOOD, M. Abu. See GHOSHAL, Sudhanshu Kumar. lattice of equational theories of algebras. II. Prelimi MASTIN, C. Wayne. Rational approximation of extremal nary report, A-448; Structural diversity in the lattice of length for doubly connected domains, A-658. equational theories of algebras. Preliminary report, MATHEWS, John H. See BASH, David W. A-33, MATIJEVIC, Jacob R. On a locally Cohen-Macauley McNULTY, George Frank and QUACKENBUSH, Robert condition for a graded ring. Preliminary report, A-382, Willis. The ascending and descending varietal chains of MATSUSAKA, Teruhisa. Global deformation of algebraic a variety, A-254. varieties, A-363. McPHERSON, James M. The nullity of a tame knot in a MATTSON, Don A. Real maximal round filters and compact 3-manifold, A-643. p-systems, A-184. MEDEIROS, L. A. See KAZARINOFF, Nicholas D. MATULA, David W. On minimum coverings of a graph MEDWIN, Herman. See WANG, Peter C. C. by i-independent sets, A-423, MEHROK, Tajindar Jit Singh. See BAJPAI, Shyam MAULDIN, Richard D. The Baire order of the space of Kishore. functions continuous almost everywhere. Preliminary :(\IEISTERS, Gary H. Sidon sets and translation-invariant report, A-101. linear forms. Preliminary report, A-492. MAXSON, Carlton J. Idempotent generated algebras and MEKLER, Alan H. Infinitary equivalence of groups. Boolean pairs, A-65. Preliminary report, A-285. MAXSON, CarltonJ. and NATARAJAN, Ponnammal. MELVIN, William R. Stability of hereditary functional Lattice endomorphisms of VC, A-564, differential equations, A-139. MAXWELL, James W. See DUVALL, Paul F. MENAS, Telis K. On the partition property. Prelimi MAY, E. Lee, Jr. Nonlinear eigenvalues, A-658. nary report, A-284, MAY, William D. See CHIVUKULA, R. Rao, MENDELSOHN, Eric. On subgroups of the collineation MAZUMDAR, Tapas. A regularity result concerning group of a projective plane obtainable as collineation linear coercive evolution equations in the variable do~ain groups of affine planes, A-442. situation. Preliminary report, A-128, MENDOLSOHN, N. S. See HUNG, Stephen H. Y. McAULEY, Louis F. Mappings covered by products and MENDELSOHN, N. S, and LINDNER, Charles C. Cyclic applications to certain mappings on manifolds, A-196, quasi-groups and applications, A-478. McAULEY, Patricia and EDWARDS, David. Pro-fibra MENN, Michael. On the Caratheodory conjecture. Pre tions, shape and classification. Preliminary report, liminary report, A-401, A-596. MERICLE, R. Bruce. A general Lebesgue decomposition

A-712 theorem. Preliminary report, A-104. MONTGOMERY, Philip R. See BREWER, James W. MERRILL, Samuel Ill. Gleason parts and a problem in MOON, John W. Spanning paths in strong tournaments, prediction theory, A-146. A-39. MERRIS, Russell L. An identity involving generalized MOON, Kyung-Ho. On restricted weak type (1, 1). Pre matrix functions, A-71. liminary report, A-135; Convergence of Fourier MESCHELOFF, David Joseph. Bifurcating solution Kaczmarz series of L2 functions. Preliminary report, branches for a class of nonlinear boundary value prob A-390. lems. Preliminary report, A-122. MOORE, Edward F. Symmetries of 3-regular 3-con MESNER, Dale M. See KRAMER, Earl S. nected planar graphs. Preliminary report, A-400. METZGER, James J. Local ideals in a topological al MOORE, John Douglas. Almost spherical convex hyper gebra of entire functions characterized by a nonradial surfaces, A-169. rate of growth. Preliminary report, A-115. MOORE, Kayran C. See SCHEIBLICH, Herman E. METZGER, Thomas A. On polynomial density in Aq(D), MOORE, Lawrence C., Jr. See HENSON, C. Ward. A-367. MOORE, Marvin G. General relativity without tensors MEYER, Albert R. Discrete computation: Theory and in a central field, A-639. open problems, A-540. MOORE, Michael H. Vector packing in finite dimensional MEYERS, Glenn. On FK-spaces which are boundedness vector spaces, A-164. domains, A-131. MOORE, Peter Edward. Extremal notions and the MICHAEL, Ernest A. When are hereditarily quotient Krein-Milman theorem. Preliminary report, A-167. maps countably hi-quotient? Preliminary report, A-29. MOORE, Robert L. Properties of reductive operators. MICHAELS, John G. A decomposition theorem for Preliminary report, A-159. bimeasurable maps, A-28. MOORE, Thomas E. See D' ALARCAO, Hugo. MILES, Joseph B. and SHEA, Daniel F. An extremal MORAN, Gadi. The algebra of reflections of an infinite problem in value distribution theory, A-610. set. Preliminary report, A-474. MILLAR, P. Warwick. Levy processes and Levy sys MOREMAN, Douglas. Convex topology. Preliminary tems, A-203. report, A-151; Convex product topology. Preliminary MILLER, Ann. The geometry of k-modular lattices. report, A-294; Convexity in product spaces. Preliminary Preliminary report, A-51. report, A-332. MILLER, B. Arthur. The quasi-regular group of a MORENO, Carlos J. Modular functions and prime num nilpotent ring, A-562. ber theorems for elliptic curves, A -61. MILLER, Keith. Backward nonuniqueness for heat flow MORGAN, John C. II. On translation invariant families problems with slightly variable conductivity, A-352. of sets, A-635. MILLER, Kenneth S. Serial correlation and spectral MORLEY, Larry J. The class of certain nilpotent semi moment statistics, A-592. direct products of p-groups. Preliminary report, A-384. MILLER, Maurice Hugh, Jr. Characterizations of real MORREL, Bernard B. See CLANCEY, Kevin F. functions by continua. Preliminary report, A-671. MORRIS, David M. A new example of a Jacobson radical MILLER, Richard K. A system of Volterra integral simple ring, A-76. equations arising in the theory of superfl.uidity, A-139. MORRIS, Lockwood. See NEWBERRY, R. Steve. MILLER, Robert W. On TTF classes. Preliminary MORRIS, Robert A. and PAREIGIS, Bodo. Formal groups report, A-77. over discrete rings, A-70. MILLER, Sanford S. See EENIGENBURG, Paul J. MORRIS, S. Brent. Permutations by cutting and MILLER, Sanford S., MOCANU, Petru T. and READE, shuffling-a generalization ton dimensions, A-480. Maxwell 0. The radius of a-convexity of univalent MORRIS, Sidney A. and ORDMAN, E. T. Remarks on functions, 1 ~a a! ro. Preliminary report, A-268. free products of topological groups. Preliminary report, MILLER, Willard, Jr. Lie theory and separation of A-454. variables. I. Parabolic cylinder coordinates, A-389. MORRISON, Evelyn J. and SEHGAL, Virindra M. Fixed MILLIGAN, Alfred W. Existence theorems for parabolic points theorems in locally convex spaces, A-150. equations with hysteresis functions. Preliminary report, MORRISON, John A. An integral equation associated with A-129. a certain nonlinear functional of an Ornstein-Uhlenbeck MILLMAN, Richard S. On certain types of manifolds process. Preliminary report, A-139. with !-structure, A-167; Integrable hi-invariant !-struc MORTIMER, Michael. On languages with two variables, tures on Lie groups. Preliminary report, A-442. A-588. MINASSIAN, Donald P. An embedding theorem for MOSIMAN, Steven Eldon. The strict topology and the ordered groups, A-4; The full orders for some two ordered vector space C(X). Preliminary report, A-271. generator one-relation groups, A-53. MOV ASSEGHI, Darius. A note on analytic functions in MINES, Ray. See RICHMAN, Fred. the unit disk, A-110. MffiANDA, Mario. Dirichlet problem with continuous MROWKA, Stanislaw G. N-compactness and strong data for the nonhomogeneous minimal surface equation. 0-dimensionality. Preliminary report, A-534. Preliminary report, A-351. MUELLER, Bruno J. The structure of quasi-Frobenius MITCHELL, Emerson C. Class theory axioms with full rings, A-363. abstraction, complemented classes, and small sets. MUELLER-ROEMER, Peter R. Contractible groups are Preliminary report, A-282. amenable, A-603; A tmipotent, but not contractible MITCHEM, John A. See HOBBS, Arthur M. group, A-671. ---. See KRONK, Hudson V. E. MUENZENBERGER, Thomas B. and SMITHSON, MIYAOKA, Florinda K. See OORTMANN, Josef K. H. Raymond E. Mobs and semitrees, A-178; The structure MOCANU, Petru T. See MILLER, Sanford S. of semitrees. I. Preliminary report, A-178. MOCANU, Petru T. and READE, Maxwell 0. The radius MUKHERJEA, Arunava and TSERPES, Nicolas A. Ran of a-convexity for the class of starlike univalent func dom walks on compact semigroups, A-204. tions, a real. Preliminary report, A-112; The radius MUKHERJEE, Sukla. See BAGCHI, Kalyan Kumar. of a -convexity of certain classes of starlike functions, MUKHERJEE, Sukla and DEBNA TH, Lokenath. On un A-521. steady multiple boundary layers on a porous plate in a MOH, Tzoung-Tsieng. Remarks on the global Jacobian rotating system, A-335. theorem, A-400. MUKHERJEE, Sukla, BAG CHI, Kalyan Kumar and MOHLER, LeeK. See FUGATE, Joseph B. DEBNATH, Lokenath. Development of capillary-gravity MOISE, Edwin E. A second almost PL proof of the waves in a running stream, A-211. triangulation theorem and Hauptvermutung for 3-mani MUKHERJEE, T. K. Br-completeness and products. folds. Preliminary report, A-197. Preliminary report, A-528; Hereditary completeness MONTAGUE, J. Stephen. The nonexistence of certain and quasi-reflexivity, A-636. rank 5 permutation groups. Preliminary report, A-458. MUKHOTI, Santiranjan. Limitation theorems on Cesaro MONTGOMERY, M. Susan. Zero divisors in rings with summability for fractional orders of series, A-130. involution, A-82. MULLIN, Albert A. On strengthening a result of Hardy

A-713 and Wright. Preliminary report, A-3; On geometric puter to illustrate mathematical concepts, A-542. number-theory. Preliminary report, A-262; On gener NG, C. T. See ACZEL, Janos D. alizations of results concerning multiplicative arithmetic NG, Edward W. Recent progress in the computerization functions. Preliminary report, A-316; On extending a of closed form integration. Preliminary report, A-457. result by Rademacher and Toeplitz. Preliminary report, NICHOLLS, Peter J. On a result of Tsuji concerning A-415; On a general property of the Fermat numbers. orbits under a Fuchsian group, A-112. Preliminary report, A-471; A note on mutant sets and NIEDERREITER, Harald G. The discrepancy of the se quadratic residues. Preliminary report, A-559; On the quence of Farey points, A-60. fundamental theorem of the geometry of numbers. Pre NOONAN, Joseph P. See COSTELLO, Thomas. liminary report, A-629. NOORV ASH, Shahbaz. Covering the vertices of a graph MULLIN, Ronald C. See WALLIS, W. D. by vertex-disjoint paths. Preliminary report, A-46. MULVEY, C. J. Rings and toposes. Preliminary re NORDAHL, Thomas Edward. The translational hull of a port, A-87. semilattice of rectangular abelian groups, A-348. MUNTEANU, Marie-Jeanne. Complex polynomial splines NORDGREN, Eric A., RADJAVI, Heydar and in two variables. Preliminary report, A-133. ROSENTHAL, Peter M. Compact perturbations of MURDOCH, David C. and VAN OYSTAEYEN, F. Non normal oeprators with reducing invariant subspaces. commutative localisation and affine varieties, A-480. Preliminary report, A-155. MYCIELSKI, Jan. Monte Carlo interpolation over a NORDHAUS, Edward A., POLIMENI, Albert D. and measure-space, A-269; A decidable class of formulas, STEWART, M. James. Factorization of nth subdivision A-448; Towards a mathematical theory of memory, graphs, A-48. A-544. NORRIS, Eugene M. Difunctionally induced state ---. See EHRENFEUCHT, Andrzej. machines, A-215; Semigroups of continuous relations. MYERS, Richard L. Super Magic cubes. Preliminary Preliminary report, A-676. report, A-255. NORTON, Karl K. On the distribution of power residues. MYUNG, Hyo Chul. On a class of restricted algebras, Preliminary report, A-58. A-82; On the nilpotence of commutative nilalgebras, NORTON, Victor T., Jr. Differential properties of A-828. Bernstein polynomial curves and surfaces. Preliminary MYUNG, Hyo Chul and JIMENEZ, Luis R. Direct prod report, A-396. uct decomposition of alternative rings without nilpotent NOVINGER, W.illiam P. Continuous mappings induced by elements, A-633. linear isometries of certain subspaces of C (X) into C (Y). NAGATA, Jun-iti. On q-closed mappings, A-24; On Preliminary report, A-277; Linear !sometries of sub G6 -sets in the product of a metric space and a compact spaces of spaces of continuous functions, A-664. space, A-171; A property of Hyman• s M-space, A-290. NUSSBAUM, Roger. Periodic solutions of some non NAKANO, Hldegoro. Representation theory of trans linear functional differential equations. Preliminary formation groups. Preliminary report, A-87. report, A-366. NANDAN, Krishna. On the H-proxlmate order of analy OBERAI, K!rtl K. On the Weyl spectrum, A-635. tic Dirichlet series. Preliminary report, A-490. OBERLIN, Daniel Malcolm. Restriction to the diagonal NAOUM, Adll G. A note of free actions of sl on homo In Hl(u11). Preliminary report, A-636. topy spheres, A-644. O•BRIEN, Thomas V. See NEUMANN, Dean, A-620. ---. See AL-AMILI, N.M.J. OCHS, A. L. See PEINADO, Rolando E. NARICI, Lawrence R. See BECKENSTEIN, Edward. o• FARRELL, Anthony G. Density of parts of plane func NASH, David H. The generalized Eckart-Yeung princi tion algebras. Preliminary report, A-273. pal axis theorem, A-347. OGG, Andrew P. Diophantine equations and modular NASHED, M. Zuhalr. Some minimax problems arising forms, A-677. from systems, A-662; Regularization and numerical OKEE, Jekerl. Completeness of the algebra of species, analysis of Ill-posed operator equations, A-668. A-446; On the Independence of the fundamental operations NASHED, M. Zuhair and WARBA, Grace G. Generalized of the algebra of species, A-499. inverses of linear operators In reproducing kernel spaces, OLES, Frank J. Local characterization of bounded HNP A-160. rings. Preliminary report, A-9; A characterization of NASIM, Cyril. See GOEL, Devendra S. bounded Dedeklnd prime rings. Preliminary report, NATARAJAN, Ponnammal. See MAXSON, Carlton J. A-255. NEGGERS, Joseph. The number of isomorphism types OLIN, Philip. Free products and elementary equiva of certain coloured graphs, A-49. lence, A-284. NEGREPONTIS, Stelios. See COMFORT, W. Wistar. OLKIN, Ingram. See MARSHALL, Albert W. NELSON, Paul, Jr. See BOLAND, W. Robert. OLSEN, James. Approximation of commuting point NEUMANN, Dean and O•BRIEN, Thomas V. The global transformations by periodic commuting point transform structure of continuous flows in the plane, A-620. ations, A-615. NEUTS, Marcel F. Some computational problems in OLSON, Roy. On the six conics problem. Preliminary stochastic models. Preliminary report, A-537. report, A-639. NEVILLE, Charles W. Invariant subspace theorems on OLSON, Roy Christian. On the product of compact open surfaces, A-111. Frechet spaces. Preliminary report, A-291. NEWBERRY, R. Steve. The recursive unsolvability of OLVER, Frank W. J. Legendre and Whittaker functions Hilbert• s lOth problem is not domain invariant, A-339; with large parameters, A-390. Finite quantification theory of second-order is stronger O•MALLEY, Matthew J. Finite groups of R-automor than you think, A-443; An algorith)Il for the decision phisms of R ([X]], A-65. problem for finite classes, A-500. O•MALLEY, R. J. A density lemma with applications to NEWBERRY, R. Steve and MORRIS, Lockwood. Anal approximate derivates, A-393. ternative definition of essential-undecidability, A-340. O•MALLEY, Robert E., Jr. The singular perturbation NEWBURG, Edward A. and WILSON, P. David. The solution to problems of cheap control, A-681. Kalman filter and its memory, A-591. O•NAN, Michael. The normal structure of the point NEWELL, David C. Triples on reflective subcategories stabilizer of a doubly-transitive group. Preliminary of functor categories, A-84. report, A-97. NEWELL, Virginia K. See STUBBLEFIELD, Beaure O•NEIL, Peter V. Minimal nearly planar graphs. Pre gard. liminary report, A-36; Nearly planar graphs and the NEWMAN, Charles M. On the construction of Markoff reconstruction problem. Preliminary report, A-647. fields, A-205. ONNEWEER, Camelis W. Absolute convergence of NEWMAN, Kenneth W. The category of commutative, Fourier series on certain groups, A-136. cocommutative Hopf algebras, A-358. ONNEWEER, Cornelia W. and WATERMAN, Daniel. NEWMAN, Morris. Some number-theoretic computa Fourier series of functions of harmonic bounded fluctua tions, A-63. tion on groups, A-136. NEWTON, Tyre A. On using the electronic analog com- ORDMAN, Edward T. Free products of topological groups

A-714 which are !Banach algebra PISONE, Katheleen and AGRAWAL, Jagdish C. Relative without bounded approximate unit, A-140. merit of convertible bond versus common stock of a PATEL, V. A. Time-dependent solutions of the viscous give:n corporation as an investment and a measuring incompressible flow past a circular cylinder by the parameter. Preliminary report, A-584. method of series truncation. II. Preliminary report, PIZIAK, Robert. Symplectic orthogonality spaces, A-44. A-353. PLANT, Andrew T. A Riemann integrability condition PATIL, D. J. Recapturing H2-functions on a polydisc, for nonlinear evolution equations. Preliminary report, A-148. A-581.

A-715 PLATT, Cra!~ R. See GASKILL, Herbert S, RADJAVI, Heydar. See NORDGREN, Eric A. ---. See GRATZER, George A. RAHMAN, Q. I. and PIERRE, R. On a problem of PLEMMONS, Robert J. See BERMAN, Abraham. Turan. Preliminary report, A-604. PLESS, VeraS. Invariant subcodes. Preliminary RAJAGOPALAN, M, See KANNAN, V. report, A-42, RAMAMURTHI, V. S. On splitting cotorsion radicals, PLOTKIN, Jacob M. A dearth of ultrafilters. Prelimi A-258. nary report, A-501. RAMffiEZ, Donald E. See DUNKL, Charles F. PLOTKIN, Neal J. Splitting fields for representations RAMRAS, Mark B. Orders with finite global dimension, of generalized quaternion groups, A-92. Preliminary report, A-361. POLIMENI, Albert D. See CHARTRAND, Gary, RANADE, Mary S. Certain polynomials are isomorphic ---. See NORDHAUS, Edward A. to Bernoulli shifts, A-429. POMERANCE, Carl. On a problem of Ore: Harmonic RANDELL, Richard C. The homology of generalized numbers, A-648, Brieskorn manifolds. Preliminary report, A-401; Orbit POOLE, George D. See GERRIETS, C. John. spaces of weighted homogeneous manifolds, A-617. POOR, Walter Andrew, Jr. Some results on non ---. See ORLIK, Peter P, negatively curved manifolds, A-586. RAO, A. N. V. and TSOKOS, Chris P. On the stability PORCELLI, Pasquale. See CLAYTON, Dennis D. behavior of stochastic systems. Preliminary report, PORTER, James F. and FELDMAN, William A. An A-378. order-theoretic description of Marinescu spaces, A-148. RAO, A. Satyanarayan, On the almost periodic solution POTLURI, Rao, Finite solvable groups having exactly of an abstract differential equation. Preliminary report, one irreducible complex character of a given degree. A-118, Preliminary report, A-92. RAO, C. J. M. A minimal T2 compactification for con POTTER, Thomas F. Generalization of a theorem of vergence spaces, A-290; On minimal regular compactifi I. Schur on sum free sets. Preliminary report, A-47, cation for convergence spaces, A-508. PRAJAPAT, M. L. See JOSHI, Chandra Mohan, RAO, K, P, S, Bhaskara, See RAO, P. S, S. N. V. Prasada, PRAKASH, C. V. S. See JAIN, Padam C. RAO, P. S. S. N. V. Prasada and RAO, K. P. S. Bhaskara. PRAKASH, Nirmala. Period matrix domains of a On generalized inverses of Boolean matrices, Prelimi quasi-symplectic manifold, A-375, nary report, A-475, PRICE, David T. Character ramification and M-groups, RAO, V. V. Estimates involving lattice points of an A~O. . integral indefinite quadratic form, A-57, PRICE, Thomas M. Constructing PL approximations RAPHAEL, R. M. See BURGESS, Walter D. to maps between 3-manifolds, A-198. RASMUSSEN, David L. Gronwall• s inequality for func PRICE, Thomas M. and SEEBECK, C. L. III. A co tions of two independent variables, A-127. dimension two taming theorem, A-509. RATHY, R. K. and BAGLA, K. L. Stability of a hori PROCTOR, C. Wayne. Jones• space, A-673. zontal fluid layer with zero shear boundaries heated from PROCTOR, Thomas G. Bounds for solutions of per below, A-334. turbed differential equations, A-663. RATHY, R. K. and CHANDRA, Kailash. Thermal in PROTOMASTRO, Gerard P. The subspace separable stability of a viscosity stratified fluid layer in the pres projection property. Preliminary report, A-145, ence of a vertical magnetic field, A-279. PRZYMUSINSKI, Teodor and TALL, Franklin D. The RAUCH, Jeffrey B. Necessary conditions for L2-well undecidability of the existence of a nonseparable normal posedness of hyperbolic mixed problems with variable Moore space satisfying the countable chain condition, coefficients. Preliminary report, A-428; An inclusion A-455, theorem for ovaloids with comparable second fundamen PU, Hwang Wen. Concerning a certain uniform struc tal forms, A-498, ture. Preliminary report, A-25; A monotony criterion RAY, Barada Kinkar. Continuity and fixed point map for arbitrary functions, A-264; Another monotony cri ping, Preliminary report, A-10; Fixed points in a terion for arbitrary functions. Preliminary report, metric space. Preliminary report, A-577. A-329. ---. See GHOSHAL, Sudhanshu Kumar. PURDOM, Seaton D. Evolution system approximations RAYBURN, Marlon C. h-normally separated spaces. of solutions to closed linear OPerator equations, A-664. Preliminary report, A-172. PURl, Pratap, On unsteady flow of an elastico-viscous RAYMOND, Frank A. Deforming self-homotOPy equi fluid past an infinite plate with variable section, A-542, valences to homeomorphisms in certain aspherical mani PURISCH, Steven D. On the suborderability of metric folds, A-618. spaces and Stone-~ech compactifications. Preliminary READ, Thomas T. The boundary of an analytic poly report, A-182; On the orderability of metric spaces. hedron, Preliminary report, A-116. Preliminary report, A-345, READE, Maxwell 0, See MILLER, Sanford S. PURSELL, Lyle E. Compactifications from subrings ---. See MOCANU, Petru T. of C*(X), A-293. RECHTSCHAFFEN, Edgar. Another equivalence between PUTTASWAMY, T. K. The solution of a certain third differential games and optimal control. Preliminary re order ordinary differential equation in the large, A-265; port, A-441, Solution in the large of a certain second order differen REDDIEN, G. W., Jr. Projection methods and singular tial equation of W. B. Ford, Preliminary report, A-367. two-point boundary value problems, A-668, PUTTASWAMY, T. K. and AROKIARAJ, L, R. Stoke•s REDDY, A. R. Rational Chebyshev approximation to multiplier for a certain third order differential equation certain entire functions of zero order on [0, oo). Pre in the neighborhood of an irregular singular point, A-523. liminary report, A-576, QUACKENBUSH, Robert Willis. Steiner (2, q+l) sys REDDY, William L. Special cohomology and branch tems and near vector spaces over GF(q), A-563, coverings on manifolds, A-195, ---. See McNULTY, G. REDFIELD, Robert H. Ordering uniform completions ---. See PADMANABHAN, R. of partially ordered sets, A-51. QUEEN, Clifford S. Euclidean subrings of function REDHEFFER, Raymond M. A generalization of the fields, A-424, Littlewood three-derivates theorem, A-580, QUINE, John R., Jr. On univalent polynomials, A-666, REED, George Michael, Concerning first countable RABINDRANATHAN, Malayattil, On cyclic vectors of spaces, II. Preliminary report, A-183; On chain condi weighted shifts, A-153, tions in Moore spaces, A-510; On the existence of point RABINOWITZ, Paul H. See CRANDALL, Michael G. countable bases in Moore spaces, A-593. RACKOFF, Charles. See FERRANTE, Jeanne. REID, Kenneth B. Some recent results on paths in RADFORD, David E. Ideals and the weak-* topology of tournaments, A-650. the dual algebra of a coalgebra over a field k. Pre REILLY, Ivan L. On bitopological compactness, A-645, liminary report, A-358. REILLY, Ivan L, and HUTTON, Bruce. Compactness RADJABALIPOUR, Mehdi. On decomposable operators. and finiteness in topological spaces, A-456. Preliminary report, A-437. REILLY, Robert C. On the curvatures of nonparametric

A-716 hypersurfaces. Preliminary report, A-168. values of a finite one-dimensional crystal. Preliminary REINEKE, Joachim. On w1-categorical theories of report, A-212. commutative rings, A-340. ROSEMAN, Joseph J. See ZWAS, Gideon. RENEKE, James A. The existence of realizations of ROSEN, Ronald H. An annulus theorem for suspension hereditary systems, A-666. spheres. Preliminary report, A-454. RESCH, Richard I. The classification of free differen ROSENBAUM, Marcos. See LUEHR, Charles P. tiable S3 -actions on eight and nine dimensional manifolds. ROSENBERG, Milton. Operators as spectral integrals Preliminary report, A-190. of operator-valued functions. Preliminary report, A-161. RESTIVO, Antonio. On a question of McNaughton and ---. See MASANI, Pesi R. Papert. Preliminary report, A-440. ROSENBLOOM, Paul C. Commutation relations for REYES, Gonzalo E. Modelling theories in topoi, A-448. linear operators in Hilbert space, with application to REYNOLDS, William H. and KOHLS, Carl W. Embed partial differential equations. Preliminary report, A-152. ding rings with a maximal cone and rings with an in ROSENCRANS, Steven I. Mapping second-order ACP• s volution in quaternion algebras, A-52. into first-order ACP• s, A-354. RHOADES, Billy E. Multiplicative and substochastic ROSENFELD, G. See ESHEL, Nachman N. operators in B(c), A-576. ROSENTHAL, Haskell P. The Banach spaces C(K) and RICE, Michael D. Strengthening of theM-fine condition, LP(~t), A-460. A-293; Composition properties in uniform spaces. Pre ROSENTHAL, Paul. On the location of the singularities liminary report, A-511. of the function generated by the Bergman operator of the RICH, Michael. A commutativity theorem for algebras, second kind. Preliminary report, A-269. A-257. ROSENTHAL, Peter M. See NORDGREN, Eric A. ---. See COUGHIJN, Raymond F. ROSS, Kemeth A. See EDWARDS, R. E. RICHARD, Bruce K. See De PRIMA, Charles R. ---. See HEWITT, Edwin. RICHARDS, J. Ian. On the incompatibility of two con ROSS, Patricia A. and AGRAWAL, Jagdish C. Delta jectures concerning primes; a discussion of the use of sequences and classical theorems about function proper computers in attacking a theoretical problem (based on ties. Preliminary report, A-579. joint work with Douglas Hensley), A-517. ROSSA, Robert F. Radical properties involving one RICHARDSON, Gary D. See KENT, Darrell C. sided ideals, A-75. RICHMAN, Fred, CHENG, Henry, MINES, Ray and ROTHENBERG, Melvin. Cobordism of G manifolds for BERG, Gordon. Constructive dimension theory. Pre finite G. Preliminary report, A-622. liminary report, A-189. ROTHSCHILD, Bruce L. Some combinatorial questions RICKEY, V. Frederick. The one variable implicational about infinite sets in Euclidean space, A-43. calculus, A-640. ROWEN, Louis Halle. Standard identities for matrix RIEGER, Georg J. On M-void numbers, A-250; Some rings with involution. Preliminary report, A-76; Rings results concerning r-numbers in the sense of Renyi, with central polynomial, A-251; Universal PI-algebras A-314; On Ford circles and equidistribution, A-567. and algebras of generic matrices, A-472. RINGEL, Claus Micha. See DLAB, Vlastimil. ROXIN, Emilio 0. On boundary control differential ---. See HERRMANN, Christian. games, A-214. RITTER, Gerhard X. Free actions of cyclic groups of ROY, P. See MAHONY, Louie M. order 2n on s1 X S2, A-195; Cyclic action on s3. Pre ROY, Prabir. See BERKOWITZ, Harry W. limlnary report, A-535. ROZEMA, Edward R. Nonlinear approximation in uni RIVAL, Ivan. Finite modular lattices with sublattices formly smooth Banach spaces, A-12. of all orders, A-250; Lattices with sublattices of a given RUBEL, Lee A. See JOCKUSCH, Carl G., Jr. order n ;:> 9, A-314. RUBEL, Lee A. and VENKATESWARAN, Subramanian. ---. See KELLY, David. Uniform approximation by splines of polynomials and of RIVIERE, Nestor M. See LEWIS, Jeff E. entire functions, A-635. RIZVI, Jawaid H. Generalized absolute summsbility, RUBIN, Herman. Relationships between convergence of A-431, distributions and convergence of random variables, A-536. ---. See BORWEIN, David. RUBIN, Leonard R. See DICKMAN, Raymond F., Jr. ROACH, Francis A. Convergence sets and value regions RUBIN, Leonard R. and SANDERS, Thomas J. A shape for continued fractions. Preliminary report, A-665. theory for Hausdorff spaces, A-173. ROBBINS, Neville. Lower bounds for the largest prime RUCKER, Rudolf von Bitter. Minimal models of Morse factor of an odd perfect number which is divisible by a Kelley plus global choice. Preliminary report, A-22. Fermat prime, A-347, RUCKLE, William H. See KALTON, Nigel J. ROBERTS, Charles. See ALO, Richard. RUDD, David. P-ideals and F-ideals in rings of con ---. See de KORVIN, Andre. tinuous functions, A-378. ROBERTS, Joel L. Generic coverings of pr when RUDIN, Walter. Spaces of type H00 + C, A-613. char(k) > 0, A-383. RUDVAIJS, Arunas. A new simple group of order ROBERTSON, Neil. Edge traversability in graphs, A-43. 21438587 • 13 • 29. Preliminary report, A-95. ROBINSON, Abraham. Enlarged sheaves, A-114. RUSH, David Eugene. See COX, S. H. , Jr. ROBSON, J. C. See LEVY, Lawrence S. RUSSELL, Carl T. On the use of g-inverses in asymp HOCHBERG, Richard, Algebras of analytic functions and totic hypothesis testing, A-206. moduli of Riemann surfaces, A-614. RYAN, Donald E. Concerning some subsets of functions ROD, David L. See CHURCHILL, Richard C. analytic on the unit disc. Preliminary report, A-661. RODABAUGH, David J. On generalizing alternative RYAN, James P. The shift and commutativity. TI. rings, A-630. Preliminary report, A-171. RODIN, Burton. The method of extremal length, A-460. SABHARWAL, Chaman L. See ALEXIADES, V. RODRIGUEZ, Lucio L. The two-piece property, A-442; SABHARWAL, Chaman L. and WILKE, R. L. S-dis Relative tightness for manifolds with boundary, A-497. tribution theory. II. Preliminary report, A-439. ROGERS, Donald D. Normal approximants of operators. SACERDOTE, George S. Permeability and limits in Preliminary report, A-429. projective model theory, A-606. ROGERS, Jack W., Jr. Inverse limits on arcs and pat SAEKI, Sadahiro. Symmetric maximal ideals in M(G), terns of chains. Preliminary report, A-178. A-390. ROLFSEN, Dale P. Localized Alexander invariants and SAFF, Edward B. and KARTSATOS, Athanassios G. isotopy of links, A-453. Hyperpolynomial approximation of solutions of nonlinear ROLWING, Raymond H. Explicit solutions of a certain integra-differential systems. Preliminary report, A-118, homogeneous autonomous system. Preliminary report, SAFF, Edward B. and SHEIL-SMALL, T. Coefficient A-666. and integral mean estimates for polynomials with re ROMPKE, Jurgen, Regular, commutative, maximal stricted zeros. Preliminary report, A-430, semigroups of quotients. Preliminary report, A-422. SAGEEY, Gershon. An independence result concerning RORRES, Chris. Transmission coefficients and eigen- the axiom of choice. Preliminary report, A-22.

A-717 SAGLE, Arthur A. Power-associative algebras and con SCHNEIDER, Hans. See BARKER, G. P. nections on homogeneous spaces, A-82. See BLEICHER, Michael N. SAGLE, Arthur A. and SCHUM!, Joseph R. Multiplica ---. See ENGEL, Gernot M. tions on homogeneous spaces, nonassociative algebras ---. See LOEWY, Raphael. and connections, A-442. SCHNEIDER, Victor P. Simple actions on Stiefel mani SAHNEY, Badri N. See GOEL, Devendra S. folds. Preliminary report, A-187. SAHNEY, Badri N. and GOEL, D. S. On the degree of SCHOBER, Glenn E. See HENGARTNER, Walter. approximation of continuous functions. Preliminary re SCHOCHETMAN, Irwin. Induced Hilbert-Schmidt repre port, A-460. sentations, A-527. SALINAS, Norberto. Reducing essential eigenvalues, SCHOEN, Alan H. Rule for the construction of a sphere A-159. inscribable antiprism. Preliminary report, A-498. ---. See PEARCY, Carl M. SCHOENBERG, Isaac J. The Budan-Fourier theorem SALLY, Judith D. and VASCONCELOS, Wolmer V. for spline functions, A-210. Stable rings and a problem of Bass, A-69. SCHOENFELD, Alan H. Continuous measure-preserving SALLY, Paul J. Bessel functions on totally disconnected maps onto Peano spaces, A-175. groups, A-117. SCHREMMER, A. See BROWN, A. SALZER, Herbert E. Some problems in optimally stable SCHREMMER, Francoise. On the Dirichlet problem for numerical differentiation, A-373. parabolic equations. Preliminary report, A-482. SANCHEZ, David A. An iteration method related to SCHULTZ, Reinhard E. Differentiable Zp actions on alternative problems. Preliminary report, A-604. homotopy spheres, A-619. SANDERS, Thomas J. See RUBIN, Leonard R. SCHUM!, Joseph R. See SAGLE, Arthur A. SANDOMIERSKI, Francis. Homological dimension under SCHUSTER, Seymour. See GALOVICH, Jennifer R. change of rings, A-81. SCHWARTZ, Alan L. Stochastic processes associated SANDHI, Guido. See KLIMAS, A. with orthogonal expansions, A-391. SANERIB, Richard A., Jr. Ultrafilters with no bases. ---. See CONNETT, William C. Preliminary report, A-414; Elementary types of some SCHWARTZ, Jacob T. Pragmatic and theoretical con groups related to infinite symmetric groups. Preliminary siderations concerning programming, A-540. report, A-669. SCHWARZKOPF, Albert B. The problem of Lagrange SANKAPPANAVAR, H. P. On congruence lattices of in optimal control theory, A-162. pseudocomplemented semilattices, A-479. SCHWEITZER, Paul A., S.J. Vector fields with no SARACINO, Daniel. On existentially complete solvable closed trajectories, A-381. groups. Preliminary report, A-446. SCHWICHTENBERG, Helmut. Functions definable by SARACINO, Daniel and WEISPFENNING, Volker B. typed A-terms, A-642. Commutative regular rings without prime model exten ---. See WAINER, S. S. sions. Preliminary report, A-641. SCOTT, Frank L. A new hyperspace uniformity, A-186. SARAFYAN, Diran. An investigation concerning the SCOTT, Leonard L., Jr. A condition on Higman• s equivalence of scalar and vector sixth order Runge-Kutta parameters, A-97. processes. Preliminary report, A-210. SCOTT, Melvin R. and KALABA, Robert E. An initial SARASON, Leonard and SMOLLER, Joel A. Geometrical value method for integral operators: V -kernels depending optics and the corner problem, A-365. upon a parameter, A-527. SATANARAYANA, Upadhyayula V. Distribution of sup SCRIMGER, Edward B. A large class of small varieties ports of representing measures for H, A-295. of alttice-ordered groups, A-51. SATHAYE, Avinash. See ABHYANKAR, Shreeram. BEALL, Robert E. Connections between projective SAVITS, Thomas H. Space-time harmonic functions ap planes and superassociative systems. Preliminary plied to age-dependent processes. Preliminary report, report, A-322. A-450; Space-time harmonic functions applied to age SEEBECK, C. L. III. See PRICE, Thomas M. dependent processes. II. Preliminary report, A-642. SEELBACH, Marijean. Some fixed point theorems for SAWOROTNOW, Parfeny P. Stationary processes on a nonexpansive mappings on star shaped subsets of a lo Banach algebra, A-377; Stationary processes on a semi cally convex space. Preliminary report, A-147. group. Preliminary report, A-607. SEGAL, Jack. Some recent results in shape theory. SAWYER, Stanley A. A probabilistic interpretation of Preliminary report, A-177. the Neumann problem, A-202. SEHGAL, Virindra M. See MORRISON, Evelyn J. SAXENA, Subhash C. Psendoaffine planes, A-165. SEITZ, Gary M. Small rank permutation representations SAXON, Stephen A. Metrizable generalized (LF)-spaces. of finite Chevalley groups, A-95. Preliminary report, A-143. ---. See CURTIS, Charles W. SCHAAR, Richard J. See LEBOVITZ, Norman R. SELDIN, Jonathan P. A sequent calculus for type SCHAEFER, Paul T. Mappings of positive integers and assignments, A-502. subspaces of m, A-635. SELFRIDGE, John L. See GUY, Richard K. SCHAEFER, Philip W. Improvable estimates in some SELIGSON, Stuart A. The extended socle and a structure non-well-posed problems for a system of elliptic equa theorem. Preliminary report, A-347. tions, A-125. SEN, Swapna and DEBNATH, Lokenath. On unsteady SCHARLEMANN, Martin G. A fake homotopy structure magnetohydrodynamic boundary layer flows, A-495. on s3 x sl # s2 x s2 A-455 SENTER, Herman F. Fixed point results for contraction SCHAY, Geza. Optlmal jou;_t distributions

A-718 SHAPIRO, Harold S. Counterexamples to a majorant BICHLER, J. See GRATZER, George A. principle for trigonometric series with positive co SIDDALINGAIAH, Honnappa. A constructive solution of efficients, A-426. the induced potential problem. Preliminary report, SHAPIRO, Jack M. On the cohomology of the classical A-368; A constructive method of solving linear integral linear groups. Preliminary report, A-644. equations of the second kind. Preliminary report, A-426. SHAPIRO, Raymond. Shock waves as limits of pro SIDDIQI, Abu! H. See GAHLER, S. gressive wave solutions of equations of higher order. SIDDIQI, Jamil A. Polynomial approximation on plane Preliminary report, A-128. arcs, A-605. SHAR, Albert. cp - Postnikov systems and H -spaces. SIDDIQI, Rafat N. On density of Fourier coefficients, Preliminary report, A-188. A-330. SHARMA, N. K. Isolated points of the spectra of con SIEBEN, John T. See SINGH, Shri K. servative matrices. Preliminary report, A-268. SIGMON, Kermit N. A simple proof of the KUnneth SHARPE, M. J. See GETOOR, R. K. theorem for Alexander cohomology, A-677. SHAW, John K. See BUCKHOLTZ, James D. SILVERMAN, Herb and SILVIA, Evelyn Marie. On the ---. See FRANK, James L. order of convexity of a -starlike functions. Preliminary SHAW, John K. and BUCKHOLTZ, James D. Grouped report, A-106. series expansions of analytic functions. Preliminary SILVERSTEIN, Martin L. Dirichlet spaces and classifi report, A -3 93 . cation of symmetric resolvents, A-202. SHAW, Li Kung. A mathematical model of life and SILVIA, Evelyn Marie. On a class of spirallike functions, living. II, A-440. A-266; A variational method on certain classes of func SHEA, Daniel F. See MILES, Joseph B. tions of bounded boundary rotation. Preliminary report, SHEIL-SMALL, T. See SAFF, Edward B. A-634. SHELAH, Saharan. The monadic (second-order) theory ---. See BAJPAI, S. K. of order, A-22; The monadic theory of order. II, A-282; ---. See SILVERMAN, Herb. Differentially closed fields, A-444; On the number of SIMON, Hermann. Locally finite homomorphisms, A-89. nonisomorphic models, A-498; Infinite abelian groups SIMON, Jonathan K. Compactifying covering spaces of Whitehead problem and other problems from Fuchs• compact 3-manifolds. Preliminary report, A-599. book, A-566. SIMON, L. M. Global estimates of Hf5lder continuity for SHELDON, Philip B. See BOISEN, Monte B., Jr. nonparametric solutions of regular parametric variational SHENG, Hu. Finiteness in prime ideals in rings of problems, A-350. global dimension two. Preliminary report, A-67. SIMPSON, James E. On self-conjugate graphs, A-384. SHEPARDSON, Carl B. A generalized Hurwitz SIMPSON, Stephen G. Pointwise definable models of Riemann formula, A-194. arithmetic and set theory, A-447; Choice schemata in SHER, Richard B. Property suvro and proper shape second order arithmetic. Preliminary report, A-499; theory, A-597; Proper shape theory and neighborhoods Post•s problem on admissible sets, A-587. of sets in Q-manifolds, A-646. ---. See HARRINGTON, Leo A. ---. See BALL, B. J. SINGAL, R. P. An expansion of a double hypergeometric SHERMAN, Seymour. See GAISSER, John W. function, A-13. SHIELDS, Allen L. See CAUGHRAN, James G. SINGER, Carl P. Finiteness of modules of differential SHIELDS, Allen L. and WILLIAMS, David L. Duality forms. Preliminary report, A-68. and coefficient multipliers of spaces of harmonic func SINGER, David Allen. The rectilinear crossing number tions, A-109. of certain graphs, A-9. SHIELDS, Paul c .. Extreme points in the commutator SINGH, J. P. On the lower order of an entire Dirichlet of an ergodic transformation. Preliminary report, series, A-485. A-102. SINGH, K. L. Common fixed points for semi-quasi SHIH, Chao-Dung. See ETGEN, Garret J. nonexpansive maps, A-436; Fixed point theorems for SHILEPSKY, Arnold C. Rigid and homogeneously em quasi-nonexpansive mappings, A-575. bedded Cantor sets, A-174. SINGH, Prem. See CHANDRA, Susheel. SHIN, Gooyong. Prime ideal space and sheaf represen SINGH, Prem and CHANDRA, Susheel. On the coeffi tation, A -80. cients of functions regular in the unit disc, A-482. SHISHA, 0. See CARGO, Gerald T. SINGH, Sankatha P. Fixed point theorems in Banach ---. See HABER, Seymour. spaces, A-379. SHOENFELD, Peter S. Regular homomorphisms of SINGH, Shri K. and SIEBEN, John T. On a-points of minimal sets. Preliminary report, A-378. entire and meromorphic functions, A-106; Proximate SHONKWILER, Ronald. Generalized multi-parameter orders of entire and meromorphic functions, A-107. resolvents, A-660. SINGH, Sukhjit. A 3-dimensional compact absolute re SHORB, Alan M. A completely additive nonstandard tract which contains no 2-dimensional compact absolute measure function on R. Preliminary report, A-32. retract, A-454. SHORE, Richard A. Priority arguments in a-recursion SINGH, Surjeet. See JAIN, S. K. theory, A-22. SINGMASTER, David B. Hamiltonian circuits on the SHORES, Thomas S. See LARSEN, Max D. regular polyhedra, A-476. SHRIKHANDE, Mohan Sharad. Strongly regular graphs SINKHORN, Richard D. Doubly stochastic matrices and quasi-symmetric designs. Preliminary report, A-38. whose squares leave the permanent invariant, A-71. SHUCHAT, Alan H. Vector measures and the spectral SIWIEC, Frank E. On the theorem of Morita and Hanai, theorem, A-13. and Stone, A-27; A characterization of an open mapping, SHULT, Ernest E. A graph-theoretic characterization A-379. of the classical geometries. Preliminary report, A-8; ---. See BOONE, James R. On subgroups of type Zp X Zp· Preliminary report, SLAGLE, Johnnie G. Combinatorial homotopy of A-95. !-connected P-local spaces. Preliminary report, A-355; SHULTZ, Frederick W. A characterization of state Cancellation and noncancellation in topology. Preliminary spaces of orthomodular lattices, A-414. report, A-534. SIBNER, Lesley M. and SIBNER, Robert J. A note on SLEDD. Marvin B. Initial-value problems for some the Atiyah-Bott fixed point formula. Preliminary re infinite systems of ordinary differential equations. Pre port, A-198. liminary report, A-665. SIBNER, Robert J. See SIBNER, Lesley M. SLEMROD, Marshall. An application of maximal dis SIBONY, N. and WERMER, John. Generators for some sipative sets in control theory, A-20. uniform algebras, A-571. ---. See DAFERMOS, C. M. SIBUYA, Yasutaka. Uniform simplification in a full SLINGERLAND, Lynn D. Riesz points of the spectrum, neighborhood of a transition point, A-388; Subdominant A-147. solutions admitting a prescribed Stokes phenomenon. SLOAN, Alan David. Support maximizing operators in Preliminary report, A-612. quantum field theory, A-667.

A-719 SLOANE, Neil J. A. See BURR, Stefan Andrus. SRIVASTAVA, T. N. On a Finsler space, A-532. SLOTTERBECK, Oberta A. Monolithic hypercentral STAMPFLI, Joseph G. See DEDDENS, James A. groups, A-93. STANLEY, Richard P. Linear homogeneous Diophantine SMITH, Dorothy P. Idempotent endormorphisms of equations, A-43. implicative semilattices. Preliminary report, A-53. STECHER, Michael J. The noncharacteristic Cauchy SMITH, James C., Jr. A study of point expandable problem for .1 3 u +Au~ But. Preliminary report, A-128. spaces. Preliminary report, A-175. STEEDLEY, Dwight. Separable quasigroups, A-655. SMITH, John Howard. A geometric treatment of non STEIN, Junior. Hilbert space and variational methods negative generalized inverses, A-72. for singular linear ordinary differential equations, A-118. SMITHSON, Raymond E. See MUENZENBERGER, STEIN, Marjorie L. A double saddlepoint conjecture for Thomas B. skew matrices, A-359. SMOLLER, Joel A. Structure of shock waves, A-613. STEIN, P. R. See EVERETT, C. J. ---. See SARASON, Leonard. STEINBERG, Stuart A. On semiprime P. I. rings and SMOLOWITZ, Lawrence H. See LEVITAN, Michael L. their maximal rings of quotients. Preliminary report, SMUCKER, Russell A. Quasi-diagonal and quasi A-263. triangular operators. Preliminary report, A-15. STEINER, Anne K. and STEINER, Eugene F. Semi SNIDER, Robert L. See FISHER, Joe W. uniform spaces, A-174. SNOW, Donald R. Caratheodory• s method generalized to STEINER, Eugene F. See STEINER, Anne K. two independent variables. Preliminary report, A-163. STENBERG, Warren. See DUCHARME, Robert G. SNOW, Richard E. Two timing expansions valid on ex STENGER, William. On adjoints and conjugates of panding intervals. Preliminary report, A-121. products of operators. Preliminary report, A-154. SOARE, Robert I. Automorphisms of the lattice of re STEPHENS, Arthur B. See COHEN, Joel Seymour. cursively enumerable sets. ill: recursive and nonre STEPHENSON, Robert M., Jr. and VAUGHAN, Jerry E. cursive sets, A-285. Products of initially m-compact spaces. I, A-179; Prod SOBCZYK, Andrew. Combinatorial coincidences, A-50; ucts of initially m-compact spaces. II, A-180. Factorization of certain decimal integers, A-656. STEVENS, R. S. See OSBORNE, Richard P. SOLOMON, Louis. Rational characters and permutation STEWART, M. James. See CHARTRAND, Gary. characters. Preliminary report, A-97. ---. See NORDHAUS, Edward A. SOLOMON, Ronald M. Finite groups with Sylow STOCKMEYER, Larry J. Polynomial ·space is reducible 2-subgroups of type • 3, A-96. to the first order theory of equality. Preliminary report, SOMERS, Kay B. See McLAUGHLIN, Harry W. A-285. SON!, Kusum K. and SON!, Raj Pal. Integrability STODDART, A. W.J. Rayleigh-Ritz approximations for theorems for a class of integral transforms. II, A-130. initial value problems with control, A-162. SON!, Raj Pal. See SON!, Kusum K. STOLARSKY, Kenneth B. Sums of distances between SORNBERGER, G. C. Server-response queue. Pre points on a sphere. II. Preliminary report, A-282; Sums liminary report, A-535. of distances between points on a sphere. II. Preliminary SOUROUR, Ahmed Ramzy. Semigroups of scalar type report, A-337. operators on Banach spaces. Preliminary report, A-157. STOLL, Manfred. Properties of the space hP (0 < p l5 1) SPARKS, Arthur G. On zero-extreme points and the of harmonic functions on the unit disc. Preliminary generalized convex kernel. II, A-167. report, A-295. SPEELPENNING, B. The generalized element method. STOLTENBERG, Ronald A. Another characterization of Preliminary report, A-280. u-spaces. Preliminary report, A-172. SPERRY, Paul L. A remark on projective covers and STOLTENBERG-HANSEN, Viggo. Priority arguments extensions, A-80. and admissable sets. Preliminary report, A-504. SPIKES, Paul Wenton. See GRAEF, John R. STONE, Alexander P. See EISEMAN, Peter R. SPIRA, RobertS. AnN-precision fortran simulator. STONE, H. Edward. A generalization of maximal con Preliminary report, A-58. nectedness, A-182. SPITZNAGEL, Edward L., Jr. An inexpensive computer ---. See GUTHRIE, Joe A. assist in teaching large-enrollment mathematics courses. STONESIFER, J. Randolph. Logarithmic concavity for Preliminary report, A-541. edge lattices of graphs, A-600. SPRINGSTEEL, Frederick N. Undecidable properties of STORK, Daniel F. Programs for the computation of language families applied to the pre-AFL of marking T-systems and their application to some PSL(2, p) groups, automata languages. Preliminary report, A-216; Classes A-602. of sentences recognizable in (exponentially) less space STORVICK, D. A. See CAMERON, R. H. than their length, viewed algebraically as abstract fami STOVER, James A. Structural topologies for differential lies of languages (AFLs). Preliminary report, A-461. equations. Preliminary report, A-123. SRIVASTAVA, Arun K. Stable and local adjunctions, STRALEY, Tina H. See LINDNER, Charles C. A-295; Every locally right adjunctable functor F: A ~ C STRANG, W. Gilbert. Piecewise polynomials and the gives rise to a monad in!, A-423. -- finite element method, A-374. SRIVASTAVA, H. M. On the generalized Appell functions STRATIGOS, P. D. Relative compactness in the vague and a conjecture of Lauricella, A-488. topology, A-331. ---. See BUSCHMAN, Robert G. STRAUS, E. G. and SUBBARAO, M. V. On exponential SRIVASTAVA, H. M. and BUSCHMAN, Robert G. Com divisors, A-481. position of fractional integral operators involving Fox• s STRAUSS, Charles M. See BANCHOFF, Thomas F. H-function, A-427; Mellin convolutions and H-function STRAUSS, W. A. See COOPER, Jeffery M. transformations, A-482; Some convolution integral equa STRECKER, George E. New light on monotone-light tions, A-569; Some polynomials defined by generating factorizations. Preliminary report, A-186. relations. Preliminary report, A-633. STREET, Anne Penfold. Sum-free sets in finite fields. SRIVASTAVA, H. M. and EXTON, Harold. On Laplace's Preliminary report, A-478. linear differential equation of general order. Preliminary STRODT, Walter C. Iterated logarithms in asymptotic report, A-329. expansions of solutions of algebraic differential equations. SRIVASTAVA, H. M. and PANDA, Rekha. A not~ on the Preliminary report, A-120. generalized Rice polynomials, A-17; Some operational STRONG, PaulL. On separability in semistratifiable techniques in the theory of special functions, A-272'; Some spaces, A-183. hypergeometric transformations involving Horn's function STROOCK, Daniel W. Probability theory and singular H3. Preliminary report, A-326; Some recursion formu integrals. Prellminary report, A-201. las associated with multiple hypergeometric functions. STROYAN, K. D. Infiniteslmals for mixed uniformities, Preliminary report, A-427; Certain expansion formulas A-147. involving the generalized Lauricella functions, A-482; STUBBLEFIELD, Beauregard. Odd perfect numbers. Certain expansion formulas involving the generalized Preliminary report, A-61; Greater lower bounds for odd Lauricella functions. II, A-569. perfect numbers, A-515.

A-720 STUBBLEFIELD, Beauregard and NEWELL, Virginia K. TAUSSKY, Olga. Some remarks concerning the off The number of topologies on a finite set, A-50. diagonal part of a matrix, A-567. SUBBARAO, M. V. See STRAUS, E. G. TAYLOR, Carl E. The genus number and pure exten SUBRAMANIAN, Hariharaier. A lattice characterization sions of the rationals. Preliminary report, A-64. ofF-spaces. Preliminary report, A-174. TAYLOR, Donald C. See LAZAR, Aldo J. SUBRAMANIAN, Hariharaier and RAJAGOPALAN, M. TAYLOR, Joseph L. Homology and spectral theory, On dense subgroups. Preliminary report, A-674. A-85. SUD, Shashi Bala. Topologies on the hyperspace 2X, TAYLOR, Laird E. On the tangent space to a ck mani A-507. fold, A-170. SUGAR, Alvin C. Two separating points of light and TAYLOR, Robert Lee. On convergence in linear spaces cancer, A-214. of random elements, A-536. SUH, Tae-n. Automorphisms of quasi-associative TEAGUE, Tommy K. On marginal automorphisms, A-91. algebras. Preliminary report, A-386. TEFTELLER, Steven C. Oscillation of second order non SULLIVAN, Francis. A generalization of best approxi homogeneous linear differential equations, A-666. mation operators, A-575; A property of best approxi THARP, Leslie H. The uniqueness of elementary logic, mation in UR spaces, A-634. A-23; Continuous quantifiers, A-339. SULLIVAN, Francis J. p-division points on the Jacobian THIEL, Anne. See BENNETT, Larry F. variety of a p-cyclic extension of k(x), A-70. THOMAS, B. V. S. Do epimorphisms of Hausdorff groups SULLIVAN, John Brendan. A decomposition theorem have dense range?, A-99. for pro-affine solvable algebraic groups over algebraic THOMAS, James W. A bifurcation theorem fork-set ally closed fields, A-359. contractions, A-142. SULLIVAN, Theodore F. Geometry of solids in Banach THOMASON, Steven K. Consequences of a decidable spaces. Preliminary report, A-31. set of axioms in bimodal logic. Preliminary report, SULLIVAN, Wayne G. Some new examples of internal A-504; Reduction of second-order logic to modal logic, symmetry in lattice gas models. Preliminary report, A-640. A-204. THOMPSON, Gerald. See HARE, William R. SUMNER, David P. D-graphs. Preliminary report, THORNTON, Melvin C. Spaces with isomorphic rings A-49; Graphs with 1-factors. Preliminary report, of continuous functions, A-24; To analogues of compact A-649. and realcompact, A-181. SUMNERS, Dewitt L. Smooth Zp-actions on spheres THURBER, Edward G. The Scholz-Brauer problem on which leave knots pointwise fixed, A-510. addition chains. Preliminary report, A-318. SUN, Hugo S. On groups determined by their squares. TITUS, Charles J. Extensions through codimension one Preliminary report, A-44. to sense preserving mappings, A-402. SUNDARARAMAN, T. R. Lattices of precomplete TOLLEFSON, Jeffrey L. Involutions of s1 X s2, A-192. varieties, A-6; Precomplete varieties of R-algebras, TOMIYAMA, Jun. See AKEMANN, Charl<;Js A. A-321. TORALBALLA, Leopoldo V. 2 dimensional measure in SUNDSTROM, Theodore A. Groups of automorphisms 3 dimensional space, A-103; M-dimensional measure in of simple rings. Preliminary report, A-255. N-dimensional space, M ~ N, A-369. SURYANARAYANA, M. B. Existence theorems for TORCHINSKY, Alberto. On spaces of Riesz potentials, linear hyperbolic problems without convexity conditions, A-578. A-163. TOUBASSI, Elias H. The group of extensions and SWEEDLER, Moss E. XA coalgebras and bialgebras, splitting length, A-519. A-357. TOWNSEND, Robert. Rings with a cyclic group of units. SWENSON, Carl E. Direct sum subset decompositions Preliminary report, A-587. of Z and Zn. Preliminary report, A-57. TRAPP, George E. See ANDERSON, William N., Jr. SWETITS, John J. Almost summable sequences of O• s TRAUB, J. F. New results in analytic computational and 11 s. Preliminary report, A-272. complexity, A-209; Current research in numerical SZABO, Manfred Egan. Multinomial coefficients in mathematics, A-538. closed categories, A-473. TRAVIS, Curtis Clyde. Oscillation of hyperbolic equa SZALAJKA, Walter s. Cohomologies and profinite tions, A-660. groups. Preliminary report, A-85. TRAVIS, Curtis Clyde and WEBB, Glenn F. Existence SZEPTYCKI, Pawel. Euler equations on compact two and stability for partial functional differential equations, dimensional Riemannian manifolds, A-125. A-662. SZETO, George. The Azumaya algebra of some poly TRENCH, William F. Canonical forms and principal nomial closed rings, A-73. systems for general disconjugate equations, A-125. TAAM, Choy-Tak. See JUNGHENN, Hugo D. TREYBIG, L. Bruce. ·Bounds in piecewise linear topol TAFT, Margaret W. A characterization of strong ogy. III. The number of isotopy types of knot spanning regularity. Preliminary report, A -567. surfaces of maximal characteristic. Preliminary report, TAIBLESON, Mitchell H. An F. and M. Riesz theory A-595. for Kn, K a local field. Preliminary report, A-136. TRIMBLE, Selden Y. See SHAH, Swarupchand M. TAKENAGA, Roy N. M. N. A redefinition of the fiducial. TROTTER, William T., Jr. Dimension of the crown Preliminary report, A-287. s§. Preliminary report, A-43; Graph coloring and di TAKEUTI, Gaisi. See JOCKUSCH, Carl G., Jr. mension theory. Preliminary report, A-651. TALL, Franklin D. An alternative to the continuum TROYER, Stephanie F. Extending a boundary immersion hypothesis and its uses in general topology, A-172; How to the disc with n holes. Preliminary report, A-401. separable is a space? That depends on your set theory, TRUE, Ernest D. A comparison theorem for certain A-344; Hausdorff! s gaps and limits and a new iterated nth order functional differential equations. Preliminary extension axiom, A-449. report, A -120. ---. See PRZYMUSil\rSKI, Teodor. TSAI, Jung H. Additivity theorems of E-compactness, TALLY, William. Surgery on maps between 3-manifolds A-379. with nontrivial second homotopy. Preliminary report, TSAI, Yen-Shung. On power cancellative hypoarchi A-595. median semigroups, A-88. TAMBURINO, J. and ASENJO, F. G. An antinomic set TSERPES, Nicolas A. See MUKHERJEA, Arunava. theory, A-376. TSOKOS, Chris P. See RAO, A. N. V. TAMURA, Takayuki. Steady IJl-semigroups, A-348. TUCKER, Howard G. See HUDSON, William N. TAN, Kok-Keong. Hausdorff metric on the family of TUCKER, Thomas W. Some wild translations of R3 weakly compact sets. Preliminary report, A-581. Preliminary report, A-193. TANNE, Joseph A. See BAJPAI, Shyam Kishore. TULLY, Edward J. Semigroups satisfying the identity TAPIA, Richard A. See GRAGG, William B. x2y = yx, A-520. TATTERSALL, James J. The Helly order for the family TURCHECK, Joseph E. First order differential closure of 3-convex sets. II, A-442. of certain partially ordered fields. Preliminary report,

A-721 A-370, WALES, David. Construction of the Rudvalis simple TURYN, Richard J. The computation of certain group, A-97. Hadamard matrices, A-1. WALKER, Henry M. Equivariant classifying spaces and TYMCHATYN, Edward D. Spaces in which all connected obstruction theory, A-609. subsets nrc arcwise connected, A-27. WALKER, James W. A class of spaces between locally UBHAYA, Vasant A. Moduli of monotonicity and appli finite dimensional and strongly countable dimensional. cations to monotone polynomial approximation. Prelimi Preliminary report, A-177. nary report, A-525; Infima of integrals involving molli WALKUP, David W. Extreme rays of the cone of finite fier functions, A-638. metrics. Preliminary report, A-376. UNGAR, Avraham. A modification of the integral trans WALL, Charles R. Density bounds for Jordan• s totient, forms technique for solving partial differential equations. A-61; The density of abundant numbers. Preliminary Preliminary report, A-12; A differential transform. report, A-472. Preliminary report, A-329. WALLIS, Walter D. Properties of Room squares. Pre VAN BUSKIRK, J. M. Homotopy trefoil knot comple liminary report, A-259; A Room square side 257, A-475, ments. Preliminary report, A-195. WALLIS, Walter D. and MULLIN, Ronald C. On the num VAN CAUWENBERGHE, Don A. On Hudson• s obstruction ber of pairwise Room quasigroups. Preliminary report, to embedding disks, A-346. A-259. V ANCKO, Robert M. P-independence, A-54. WALSH, John J. Monotone, monotone open, and light VANDERJAGT, Donald W. Graphs with prescribed con open mappings on manifolds, A-596. nectivity and local connectivity, A-35; Prescribed local ---. See MAHONY, Louie M. connectivity and local edge connectivity in graphs. Pre WALTER, Martin E. A duality between locally compact liminary report, A-321. groups and certain Banach algebras, A-136. VAN DOREN, Kenneth R. Lasnev spaces which contain WANG, Frank J. S. Limit theorems for age and density dense metrizable subspaces. Preliminary report, A-344, dependent stochastic population models. Preliminary VAN METER, Robert G. Some special polynomials over report, A-200. a finite field. IT, A-600. WANG, Kwang-Shang. See DeVITO, Carl L, VAN OYSTAEYEN, F. See MURDOCH, David C. WANG, Lawrence L. A test for the sequencing of a VARGA, Richard S. Ex-tensions of the theory for the class of finite groups with two generators. Preliminary S. 0. R, method; A-210. report, A-632. VARGHESE, 0. A. An easy method for numerical WANG, Peter C. C. Variance estimation for the analysis division. Preliminary report, A-421. of stationary radiated noise, A-24. VARMA, Arun Kumar. Interpolation polynomials (alge ---. See BLEICK, Willard E. braic) which give best order of approximation among WANG, Peter C. C. and MEDWIN, Herman. Stochastic continuously differentiable functions of arbitrary fixed models on the scattering of sound by bubbles in the upper order on [-1, +1], A-372. ocean, A-24. VASCONCELOS, Wolmer V. Coherence in polynomial WARFIELD, Robert B., Jr. Serial rings, semihereditary rings, A-69. rings, and finitely presented modules. Preliminary re ---. See SALLY, Judith D. port, A-78. VAUGHAN, Jerry E. See HODEL, Richard E. WARNE, Ronson J. Bands of maximal left groups, A-6; ---. See STEPHENSON, Robert M., Jr. wY-.S( -unipotent semigroups, A-249; On the structure of VAUGHAN, Nick H. A note on classes of ideals in an regular 0-bisimple semigroups, A-313; Generalized integral domain. Preliminary report, A-68. w-..'.l-unipotent bisimple semigroups, A-413; Locally in VAUGHAN, Theresa P. Linear permutation polynomials verse unions of groups, A-561. on a f'mite field. Preliminary report, A-72. WARREN, Hugh E. Analytic equivalence among simply VEECH, William A. Random walks and harmonic func connected domains in C(X), A-141. tions, A-201. WARREN, Nancy M. Normality problems under perfect VENKATESWARAN, Subramanian. See RUBEL, Lee A. mappings, Preliminary report, A-455. VERMA, Sadanand. On a particular solution of certain WARREN, R. H. See GUDERLEY, Karl G, differential equations via linear mapping of finite dimen WASSERMAN, Arthur G. See LAZAROV, Connor. sional vector spaces. Preliminary report, A-460, ---. See LEE, Chung N. VINCENT, Paul A. A topological characterization of WATERMAN, Daniel. On functions of bounded deviation. conjugate nets on 2-manifolds. Preliminary report, Preliminary report, A-369. A-179. ---. See ONNEWEER, Cornelia W. VINSONHALER, Charles I. and WICKLESS, William J. WATERMAN, Robert E. A spline inequality with free Quasi-pure-injective torsion free abelian groups of rank choice of knots, A-133. two. Preliminary report, A-419; Quasi-pure-projective WATSON, Bill. All almost complex submanifolds of torsion free groups of rank two, A-478. para-Kahler manifolds are minimal. Preliminary re VORA, Chandan S, Fixed point theorems for certain port, A-337. symmetric product mappings of A-ANR and a manifold, WATTENBERG, Frank A. Monads of nonnearstandard A-295, points, A-185. VUCENIC, Wayne. See HANSCHE, Brian, A-568. ---. See BERNSTEIN, Allen R. WAGGONER, Roger A. A method of combining fixed WATTERBERG, Peter A. Conditions for cp (n) to points, A-188. properly divide n-1, A-566. WAGNER, Carl G. Minimal covers of finite sets, A-48. WAUGH, W. A. O•N. Asymptotic growth of a class of WAGNER, Daniel H. The integral of a lower closed set size and age dependent birth processes, A-204. valued function. Preliminary report, A-572. WAYMIRE, Edward C. See DeVITO, CarlL. WAGNER, Neal R, Components of the space of retrac WEAVER, George E. A uniform compactness theorem tions of the torus. Preliminary report, A-179. in first order logic, A-588; The completeness of some WAGREICH, Philip D. Seifert n-manifolds, A-619. systems of sentential logic, A-641. ---. See ORLIK, Peter P. WEAVER, James R. Generalized extra-special p-groups, WAHBA, Grace G. See NASHED, M. Zuhair. A-88. WAID, Margaret C. The first initial-boundary value WEBB, Cary H. A characterization of abelian p-groups problem for a nonlinear time degenerate parabolic without elements of infinite height, A-316; Tensor and operator. Preliminary report, A-276. direct products, A -3 8 2. WAINER, S. S. and SCHWICHTENBERG, Helmut. In WEBB, Glenn F. See TRAVIS, Curtis Clyde. finite terms and hierarchies based on higher-type ob WEBSTER, Dallas Eugene. Semihandles and 4-manifolds, jects. Preliminary report, A-589. A-197. WAKE, William Paul. Ideal boundary theory for quasi WEHRLY, Albert C. Continuously perfectly normal bounded harmonic functions. Preliminary report, A-113; spaces. Preliminary report, A-595. Ideal boundary theory for harmonic functions. Prelimi WEINER, Joel L. A theorem on closed space curves, nary report, A-277. A-337; Closed curves of constant torsion, A-395.

A-722 WEINSTEIN, Joseph M. Large matchings in graphs, WILHELMSEN, Don H. A l\larkov inequality in seYeral A-362. dimensions, A-669. WEISPFENNING, Volker B. Two model theoretic proofs WILKE, H. L. See SABHARWAL, Cham'm L. of Riickert• s Nullstellensatz Preliminary report, A-115. WILKEN, Donald R. Sec BRICl\lVIAN, Louis. ---. See SARACINO, D. WILKERSON, Halph W. Finite dimensional group rings. WEISS, Paul. On Schwarz• s lemma inn-dimensional Preliminary report, A-75. potential theory. Preliminary report, A-522. WILLE, Hudolf. See HERHMANN, Christian. WELLAND, Robert R. Coordiuate free first order WILLIAMS, David L. See SHIELDS, Allen L. partial differential equations, A-352. WILLIAMS, Francis D. Higher Whitehead products and WELLER, Glenn P. Regular neighborhoods and topolog category, A-379. ical'manifolds, A-194. WILLIAMS, James G. Structure diagrams for primitive WELLS, John and DePRil\IA, Charles R. Local auto Boolean algebras, A-319; On a question of Pultr, re morphisms are differential operators on some Banach garding categories of structures, A-561. spaces, A-160. WILLIAMS, James L. Solutions to correspondence equa WELMERS, R. Bruce. Wild spheres with tame subsets, tions of the form prr= P, A-51. A-509. ---. See KIMUHA, Naoki. van WERh'HOOVEN, Anthony John. On the join of sub WILLIAMS, Kenneth S. See LEONARD, Philip A. normal subgroups, A-315; On a generalization of sub WILLIAMS, R. Douglas. Prime and primary ideals in normality in infiuite groups, A-413. rings of functions, A-65. WERMER, John. Smooth generators for the ball algebra. --- See ADLER Andrew Preliminary report, A-430. WILLIAMSON, J;mes E. On Hamiltonian-connected line ---. See SIBONY, N. graphs, A-36. WERNER, Heinrich. Finite simple nonabelian groups WILLIAMSON, Stanley G. Tensors, lists and counting, are functionally complete, A-561. A-43. ---. See GANTER, B. WILLIG, Paul. A certain convex set in W-* algebras, WEST, Karen I. See BEARD, Jacob T. B., Jr. A-274; Continuous W-* algebras are nonnormal, A-433. WESTON, Kenneth W. On the relatively free group of WILLIS, Paul A. Distortion mappings. I. Preliminary exponent 4, A-89. report, A-545. WHEELER, Robert F. The strict topology for P-spaces. WILSON, D. C. Open mappings on manifolds, A-197. Preliminary report, A-10; A locally compact nonpara WILSON, Larry W. On Mikusinski operator functions of compact space for which the strict topology is Mackey, bounded variation. Preliminary report, A-138. A-483. WILSON, Leslie Charles. On the equivalence of stable WHITE, Albert G. See DIMINNIE, Charles R. maps from s2 to R2. Preliminary report, A-402. WHITE, Dennis E. Polya-type results in a multilinear WILSON, P. David. See NEWBUHG, Edward A. settiug, A-73. WILSON, Richard M. See DOWLING, Thomas A. WHITE, H. E., Jr. Topological spaces that are WILSON, Robert Lee. On the existence of an antipode in a-favorable for a player with perfect iuformation, A-28; certain bialgebras, A-358. More on Blumberg• s theorem, A-290; The approximation ---. See BLEICHER, Michael N. of one-one measurable transformations by measure pre WINDHAM, Michael P. See HEAL, E. Robert. serving homeomorphisms, A-295; Still more on Blum WINKLER, William E. Some results in Doeblin• s theory berg• s theorem, A-342; Two results involving Baire of Markov chains, A-607. spaces, A-510; Topological spaces for which Blumberg• s WINTROBE, Fred. On composition operators on H2. theorem fails, A-593; An example involving Baire spa Preliminary report, A-581. ces, A-643. WOCHELE, Mark D. The equicontinuous structure rela WHITE, James H. Critical points for the total twist of tion of a unicoherent point-transitive flow, A-621. a closed n-manifold in E2n+1!. Preliminary report, WOEPPEL, James J. Some critical groups of cross A-396. product varieties. Preliminary report, A-90. WHITE, Neil L. The bracket ring of a combinatorial WOGEN, Warren R. See CIMA, Joseph A. geometry. I. Preliminary report, A-45. WOLFE, Carla. Endomorphism rings of quasi-projective WHITE, R. E. A characterization of hypoelliptic differ modules over semiperfect and perfect rings. Preliminary ential operators with variable coefficients. Preliminary report, A-417. report, A-661. WOLFE, John E. Averaging and extension operators and WHITEHEAD, Earl Glen, Jr. Group Ramsey theory, injective spaces of continuous functions, A-145. A-356. WOLFE, Philip. Optimization and operations research, WHITFIELD, John H. M. Quasi-differentiable norms, A-547. A-144; A smooth space with a smooth dual, A-613. WONG, Kai-tak. On Riccati equations and oscillating WHITTAKER, James V. On normal subgroups of dif theorems. Preliminary report, A-13. ferentiable homeomorphisms, A-462. WOO, Kai Yuen. A characterization of Pt-invariant WHITTIER, D. See BAJPAI, Shyam Kishore. functions of the space-time Wiener process. Preliminary WHYBURN, Clifton T. Note on a method iu elementary report, A-354. number theory. II, A-360. WOOD, Carol. Prime model extensions of differential WICHMANN, Josef. Hermitian but not symmetric fields, characteristic p ~ 0, A-445. *-algebras. Prelimiuary report, A-142. WOODS, R. Grant. Zero-dimensional compactifications WICHURA, Michael J. A functional form of Chung• s law of locally compact spaces, A-343; A Tychonoff almost of the iterated logarithm for the maximum absolute par realcompactification, A-451. tial sums of iudependent random variables. Preliminary WOODS, Sheila M. Some results on semiperfect group report, A-399. rings, A-3; Existence of Krull dimension in group rings. WICKE, Howard H. See WORRELL, John M., Jr. Preliminary report, A -565. WICKE, Howard H. and WORRELL, John M., Jr. Para WOODWARD, Gordon S. Translation-invariant linear regularity. Preliminary report, A-173; Characteriza forms, A-528. tions of absolute sets of interior condensation. Pre ---. See JOHNSON, George W. liminary report, A-401; The preservation of primitive WOON, Eden Yi-Teng. n-connectedness in pure base by certain open mappings, A-533; Uniformly prim 2-complexes. Preliminary report, A-49. itively complete mappings, A-675. WORRELL, John M., Jr. See WICKE, Howard H. WICKLESS, William J. See VINSONHALER, Charles L. WORRELL, John M., Jr. and WICKE, Howard H. A WIEGAND, Roger A. Generators of modules, A-69. central metrization theorem. I. Preliminary report, WILBUR, W. John. Orthocomplementations on the A-355; A central metrization theorem. II. Preliminary closed subspaces of topological vector spaces. Pre report, A-381. limiuary report, A-279; A characterization of the sub WRIGHT, E. M. Hamiltonian graphs and digraphs. space lattice of Hilbert space. Preliminary report, Preliminary report, A-261. A-543. WRIGHT, Fred M. and BAKER, James D. Coming close

A-723 and iterated limits, A-103. ZAHN, George D. Up-down permutations of z+, A-35. WRIGHT, J. D. Maitland. All operators on a HUbert ZAIDMAN, Samuel. Vector-valued functions satisfying space are bounded, A-448. an energy equation, A-13; Uniqueness of continuous weak YAMADA, Toshihiko. Schur subgroups of 2-adic fields, solutions of abstract differential equations, A-328. A-250. ZAKS, Joseph Y. The maximum genus of cartesian YANG, Jeong Sheng. A note on the functional trans products of graphs, A-513. formation group (C(X, G), T), A-172; Extensions of ZALCMAN, Lawrence A. Mean values and differential homomorphisms in C(X, G). Preliminary report, A-676. equations, A-267. YAO, Andrew C. On minimal-comparison selection n~t ZALCSTEIN, Yechezkel. See McNAUGHTON, Robert. works. Preliminary report, A-583. ZAME, William R. Ideals in rings of holomorphic YEAGER, Dorian P. Compact inverse Clifford semi germs. Preliminary report, A-114; Holomorphic con groups, A-475; Universal compact inverse semigroups, vexity of compact sets and cohomology vanishing theo A-652. rems. Preliminary report, A-636. YEN, Chi-lin. A common fixed point theorem, A-11. ZAND, Hossain. Modules of finite Goldie dimension, YEN, David H. Y. See CORNWELL, Peter E. A-74. YING, John H. Finite p-groups with restricted quotient ZARANTONELLO, Sergio. A multiplicative Cousin structures. Preliminary report, A-364. problem and a zero set for the Nevanlinna class of func YIT, Tao-Cheng. On subdirect product of rings without tions in the polydisc. Preliminary report, A-116. symmetric divisors of zero. Preliminary report, A-250; ZASSENHAUS, Hans J. Minkowski reduction of integral TI. Preliminary report, A-323; m. Preliminary report, matrices. Preliminary report, A-206. A-414. ZATZMAN, M. See BERNFELD, Stephen R. YODER, Lane. Variation of multiparameter Brownian, ZEITLIN, David. Identities for integer sequences in A-505; Levy• s equality, transience, density, and point volving the greatest integer function. Preliminary re recurrence of multiparameter Brownian motion, A-591. port, A-263; TI. Preliminary report, A-423; Identities YOUNG, David M. and KINCAID, David R. Linear sta for integer sequences involving the greatest integer tionary second-degree methods for the solution of large function. m. Preliminary report, A-567; An explicit linear systems, A-209. formula for the coefficients of the chromatic polynomial YOUNG, Eutiquio C. Gronwall• s inequality in n-inde of a complete bipartite graph, A-633. pendent variables, A-125; Uniqueness theorems for a ZENOR, Phillip L. Continuously completely regular singular ultrahyperbolic equation. Preliminary report, spaces. Preliminary report, A-182. A-661. ZIEGLER, Michael R. See CAMPBELL, Douglas M. YOUNGER, Daniel H. See FAULKNER, G. B. ---. See COONCE, Harry B. YU, Chung-Ling. Generalized Kolmogorov and M. Riesz ZIEMER, William P. See BAGBY, S. Thomas. theorems for first order elliptic systems on the plane. ZILBER, Joseph A. See ELKINS, Bryce L. Preliminary report, A-369. ZIMMERBERG, Hyman J. Reduction of symmetrizable YU, L. C. See MAGLIVERAS, S. S. problems with integral boundary conditions, A-432; Sym YU, Mark Hsi. Countable dense subsets of a separable metric integra-differential-boundary problems, A-605. metric space, A-26. ZLOBEC, Sanjo. The Gauss bordering method for ZACHMANN, David W. Branching solutions of equations matrix inversion. Preliminary reporD, A-20. containing several parameters, A-144. ZWAS, Gideon and ROSEMAN, Joseph J. The effect of ZAFRAN, Misha. Multiplier transformations of weak nonlinear transformations on the computation of weak type, A-573. solutions, A-206. ZAHAR, R. V. M. See LOVJS, F. B.

A-724 INDEX Volume 20 (1973) iTRACTS PRESENTED TO THE SOCIETY, A-1, James A. Donaldson, 179 '1.-249, A-313, A-413, A-471, A-559, A-629 Peter Donovan, 139 ~rrata-Volume 19, 61, A-295 M. Solveig Espelie, 179 Volume 20, A-547, 309 Carl Faith, 81 ndex of Abstracts-Volume 20, A-693 Albert Feuer, 181 Judy Green, 179 TERTISERS, INDEX TO, A-248, A-311, A-411, Ann Heard, 179 \-469, A-558, A-626, A-690 Robert Hermann, 180 David Hunt, 139 ! RESEARCH FELLOWSHIP FUND, 277 MurrayA, Jorgensen, 140 John Kasdan, 179 ISTANTSHIPS AND FELLOWSHIPS Robert B. Kelman, 181 :n Mathematics in 1973-1974 (Supplementary List), Diane Laison, 225 83 Peter Lax, 81 :n Mathematics in 1974-1975, 373 H. M. Liebenstein, 81 Bertha R. Livingstone, 224 ;KLOG OF MATHEMATICS RESEARCH JOURNALS, Lee Lorch, 62, 179 go, 228 Saunders Mac Lane, 362 John Mack, 139 ECTORY OF WOMEN MATHEMATICIANS, 132 Jose L. Massera, 313 A. Meir, 179 >TORATES CONFERRED Douglass B. Morris, 310 In 1971-1972 (Supplementary List), 60, 84 Robert Morris, 139 In 1972-1973 (Supplementary List), 359 D. Pedoe, 312 J. M. S. Simoes-Pereira, 310 PLOYMENT INFORMATION FOR MATHEMATICIANS, Ralph Phillips, 81 222 Rudy Rucker, 362 Malcolm J. Sherman, 311 lATA, 342 Robert Shostack, 179 Evelyn M. Silvia, 179 ~TURE ARTICLES A. Swimmer, 181 !\ Possible Program for the American Mathematical Alexander Doniphan Wallace, 179 Society, 168 George Weiss, 81 ~mployment Prospects for September 1973, 134 Mary B. Williams, 140 3raduate Education in Mathematics in the Coming Oscar Zariski, 63 Decade, 123 Index of Mathematical Papers, 270 MEETINGS OF THE AMS Is This Doctoral Program Necessary?, 371 Abstracts Presented to the Society, A-30, A-346, Tobs, Tr.aining, and Education for Mathematicians, A-356, A-382, A-457, A-458, A-512, A-599, 217 A-610, A-647, A-677 Tobs and Ph, D.'s in the Mathematical Sciences. I, Calendars of Meetings, Inside front covers II, 348, 367 Preliminary Announcements ~atbematical Science Faculty and Enrollments, April: New York, New York, 52, 71 343 June: Bellingham, Washington, 73, 109 tifational Science Foundation Budget, 135 August: Missoula, Montana, 111, 153 Report of Carnegie Commission on Higher Education November: Minneapolis, Minnesota, 165, 211 on Graduates and Jobs, 172 Cambridge, Massachusetts, 211 Report of the Mathematical Reviews Crisis Atlanta, Georgia, 214, 244 Committee, 121 Tucson, Arizona, 215, 246 Report on Bangladesh, 54 January: San Francisco, California, 247, 330 Reviewing Charge for Mathematical Reviews, 75 March: Gainesville, Florida, 339 rax Deductions for Those in Academic Positions, 138 Programs of Meetings reaching Undergraduate Mathematics, 171 January: Dallas, Texas, 2 ··'hree Resolutions, 257 April: Stanford, California, 90 .ex, Race and Citizenship of New Doctorates, New York, New York, 93 July 1972 - June 1973, 301 Evanston, lllinois, 101 Nomen in Mathematics, 131 June: Bellingham, Washington, 150 August: Missoula, Montana, 188 fR SPEAKERS AT AMS MEETINGS, 165, 221, 255, October: Cambridge, Massachusetts, 236 l42 November: Tucson, Arizona, 327 Atlanta, Georgia, 318 ERNATIONAL CONGRESS OF MATHEMATICIANS, Minneapolis, Minnesota, 239 !16, 256, 340 MEMBERSHIP RATES FOR STUDENTS AND t'TERS TO THE EDITOR, 62, 81, 139, 179, 224, UNEMPLOYED MATHEMATICIANS, 277 "10, 362 >3renda Baker, 179 MEMORANDA TO MEMBERS, 120, 185, 232, 313 Paul T. Bateman, 179, 363 Acknowledgements, 232 Anatole Beck, 179 Change of Address or Position, 120 Jerome Dancis, 179 Mathematical Sciences Employment Register, 313 Paul Dedecker, 63

A-725 Reciprocity Agreement with South African SEMINARS AND INSTITUTES Mathematical Society, 185 1973 Summer Institute on Differential G~ometry, 5: Reciprocity Agreement with Vijnana Parishad of 74 India, 185 Conference on the Influence of Computing on Resolutions of the January 1974 Business Meeting, Mathematical Research, 74, 110, 153 185 Preceptorial Introduction to Computer Science for Retired Mathematicians, 313 Mathematicians, 110, 153, 247, 330 Symposium on Some Mathematical Questions in Biology, 73, 110, 152 NEW AMS PUBIJCATIONS, 53, 59, 64, 75, 85, 122, 130, 182, 223, 314, 353 SITUATIONS WANTED, A-216, A-296, A-403, A-463, A-549, A-622, A-683 NEWS ITEMS AND ANNOUNCEMENTS, 54, 56, 65, 68, 81, 120, 137, 143, 148, 170, 172, 176, 186, 215, SPECIAL MEETINGS INFORMATION CENTER, 57, 7' 222, 226, 243, 306, 316, 352, 354, 357' 363 141, 177, 227, 308, 355

PERSONAL ITEMS, 66, 86, 146, 184, 226, 315, 364 SPECIAL SESSIONS, CHAffiMEN AND TOPICS, 256, 339 QUERIES, 55, 76, 143, 173, 229, 307, 358 SUMMER GRADUATE COURSES, 82, 144 RESERVATION FORMS, A-312, A-412, A-470, A-627, A-691 TAX STATUS OF GRANTS, 449

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