PROPOSAL ARM.MATHEMLTICS CENTER Engineering Research Institute University of Michigan Ann Arbor, Michigan August 18, 1955

TABLE OF CONTENTS Introduction: p. 1 Background and Resources: p. 2 General Organization and Information about the University of Michigan: p. 2 Department of Mathematics: pO 3 Engineering Research Institute: p 4 Mathematical Research at the University: p. 6 Computer Facilities: p. 7 Library System: p. 8 Technical Statement of Work: p. 10 Proposal: p. 11 Organization: p. 11 Objectives: p. 12 Liaison with Army Centers: p. 13 Director: p. 14 Housing of the Center: p. 16 Additional Notes: p. 18 Appendix I Security: p. 19 Appendix II - Contract Information: p. 21 Appendix III- Discussion of Ann Arbor Environment: p. 23 Activities: p. 23 School System: p. 24 Athletic Plant: P. 25 Employee Housing: p. 25 Appendix IV - Faculty and Staff: p. 26 Appendix V - Contracts between University of Michigan and Department of the Army: p. 29

ARMY MATHEMATICS CENTER This proposal for an Army Mathematics Center at the University of Michigan has been prepared and is being presented on the basis of an invitation from Ivan R. Hershner, Jr., Chairman Ad Hoc Advisory Committee on the Army Mathematics Center, to President Harlan Hatcher. Consideration of the establishment of the Army Mathematics Center at the University of Michigan has demonstrated the important mutual advantages that could develop from a joint arrangement between the Department of the Army and the University. This proposal presents information and methods to accomplish desirable results for both the Army and the University in the field of Mathematics.

-2BACKGROUND AND RESOURCES General Organization and Information about the University of Michigan: The University of Michigan, as it is now called, was first organized in 1817. An act of the legislature of March 20, 1837 located the institution at Ann Arbor. The University has outgrown its original 40 acre campus and has expanded into additional area adjacent to and greater than the original campus. Approximately three years ago an additional 387 acres were acquired as a new campus area located two miles north and east of the present campus. Several new buildings have been completed on this campus (North Campus) and more are planned for construction in the immediate future. At present, the University of Michigan is governed by the Regents of the University of Michigan, who are a constitutional corporation under the State of Michigan. The Regents are elected by popular vote for an eight-year term of office, as an honorary position. The chief administrative officers of the University are the President (Dr. Harlan Hatcher), the Vice-President and Dean of Faculties (Dr. Marvin L. Niehuss), the Vice-President in charge of Business and Finance (Dr. W. K. Pierpont) and the Vice-President in charge of Student Affairs (Mr. J. A. Lewis). The University of Michigan is a state-supported institution receiving funds as approved by the State Legislature, and from tuition, endowments, grants and gifts. The enrollment for the past semester was about 18,000 students,

-3Department of Mathematics: The Department of Mathematics of the University of Michigan, with 51 regular staff members, and about 40 pre-doctoral students and teaching fellows, is one of the largest departments of mathematics in the country, In addition to size, it also ranks very high in stature and in the standing of its members; i.e., it provides a center of mathematical activity. The interests of its members are diverse, and every important field of mathematical endeavor is represented. In addition to having a high concentration of effort in the field of topology, there are nationally known figures in the field of analysis, algebra, linear spaces, applied mathematics, statistics and probability, and actuarial mathematics. In the last two fields the department did pioneer work, Research is encouraged among the members of the staff, and there is considerable exchange of ideas and mutual stimulation on the parts of staff members. In addition to regular graduate instruction (there are about 140 graduate students registered in the department) there are numerous seminars, which are conducted not only for the benefit of graduate students, but also aid in enlarging the background of members of the staff. The Mathematics Colloquium offers opportunity for staff members to present their researches, and also for inviting visitors from this country and abroad, to present their recent results. The general departmental atmosphere is congenial. There is every reason to believe that the members of an Army mathematical research center would be welcome in this depart

-4ment, that they would be able to find staff members of similar interest with whom they could discuss their private mathematical problems, and possibly get help on programmatic material. They would be welcome to participate in departmental activities, and in turn contribute to the mathematical activities of the group. Engineering Research Institute: From the Regents Bylaws concerning the Engineering Research Institute: "In the development and continuation of its research projects, the Institute shall have due regard for the integration of research with the educational programs of the departments of instruction. It shall carry on its research activities, insofar as possible with the assistance of members of the faculty and for this purpose shall work with and through the regularly constituted authorities of the schools and colleges concerned, The terms and conditions of employment shall be subject to the approval of the respective departments and in accord with general policies approved by the Engineering Research Council and the Board of Regents. Employment in the Institute shall be open to graduate and undergraduate students under conditions satisfactory to the Graduate School,the Department of instruction, and the Institute, respectively, provided that such employment shall not interfere with academic tasks," At the present time, about 260 graduate students and 240!rgraduate students working for their degrees are employed

-5by the Engineering Research Institute. Men employed or on a visiting basis at the Center would be eligible to work toward advanced degrees, The University of Michigan practices permit a combination of work towards advanced degrees with employment on research projects, the amount of credit courses permitted being dependent on the percentage of time in employment. Established procedures and experience have demonstrated the success of the arrangements. The appointment of research staff members is made by the Regents, subject to the availability of funds from outside sources (e.g., funds available for support of the Army Mathematics Center.) Thus, tenure of the research staff is contingent upon the availability of the support funds. Appointments in the teaching staff originate in the teaching department concerned. The research worker on a part-time professorship appointment would be employed for a specified period, having all the rights and privileges except tenure. Over a thirty-five year period the University has developed an equitable method of salary adjustments to coordinate full-time research and nine-month teaching salaries. Experience has shown no difficulty from a salary standpoint of attracting highlyqualified research staff members. The full-time research personnel are employed on a twelvemonth basis with a one-month vacation and an equitable salary, so that they are not engaged in outside consulting activities. University policy prohibits outside consulting by twelve-month employees. There are approximately 400 full-time research people employed by Engineering Research Institute on this basis. The University research personnel have a very favorable

-6University retirement plan. In addition to this, all University employees are eligible for the group insurance with the Prudential Company, available at a very reasonable rate. A listing of all contracts in force between the University of Michigan and- the Department of the Army from July 1, 1953 through July 1, 1955 is appended to this proposal, Mathematical Research at the University: In connection with the sponsored research programs, the University of Michigan has various over-all research mathematical activities in the Willow Run Laboratories and on the campus, some of which have a definite bearing on the present problems for the Army Mathematics Center, including data processing, systems analysis, analog simulation and control systems, turbulence, electromagnetic theory, wave propagation, surveillance communication, weapon-system accuracies, surveillance requirements and a study of the surveillance characteristics of military targets. These groups involve approximately 65 research people engaged in the mathematical problems associated with this work. Some fundamental mathematics sponsored projects such aslinear vector spaces of elliptic mappings, geometry of numbers, mathematical analysis, sub-harmonic, harmonic and analytic functions, and the topology of manifolds are supervised by faculty, members. However, additional mathematical effort is connected with contracts of a larger scope such as those previously mentioned, in which the mathematics staff is participating on a consulting basis. There are many University research programs being investigated by the Department of Mathematics faculty as part of

-7their regular University activities, The number of technical papers from this source is steadily increasing. To provide additional opportunities for publication, the Mathematics Department sponsors "The Michigan Mathematics Journal." There are many other mathematical problems and investigations that are spread practically through the entire University. The Astronomy Department is using various statistical methods for studying Astrophysics. In the Philosophy Department, research investigations are being carried on in logic using the tools of mathematics. In the Engineering College, heat-transfer, fluid flow, chemical separations and plastic deformation problems are being studied. The Graduate School confers the third largest number of Ph.D.'s in Mathematics of any school in the country, according to the data compiled in "The American Universities and Colleges" published by the American Council on Education, 1952. Computer Facilities: The wide range of the University's educational and research activities has led to the procurement and development of an extensive array of computer facilities, ranging from automatic desk calculators to electronic high-speed computers. These computer facilities present a significant research tool for the University's educational functions, including research, and for sponsored research on behalf of industry and government. The most advanced electronic digital facility at the University is the University of Michigan Digital Automatic Computer.

-8(MMIDAC) This is a general-purpose, high-speed, electronic digital computer and data processor. At present it has an acoustic memory storage of 512 words and a magnetic-drum storage capacity of 6,144 words. Two auxiliary systems have been developed for this computer, viz., an automatic programming system (MAGIC) and an easy programming procedure for the solution of many simple problems (EASIAC). Several installations of standard IBM equipment in University laboratories are available including such units as tabulators, electronic calculators, electronic statistical machine, key punches, key verifiers, sorter, duplicator, and collator and other auxiliary equipment. A general-purpose analog computing facility is maintained in connection with the research activities of the Engineering Research Institute. It is a consolidation of government-owned components procured and developed by Research Laboratories. The Aeronautical and Electrical Engineering Departments each operate electronic differential analyzers of small and medium size. Library System: The library system of the University includes the General Library, a number of divisional libraries operated as branches of the General Library, and several special libraries. The book collections total 2,300,000 catalogued or indexed volumes and pamphlets. The mathematical division libraries have complete sets of practically all mathematical journals of importance, and maintain subscriptions to practically all of the mathematical Journals published at the present time. In addition, it

-9aims to have available all mathematical treatises of importance in the various branches of mathematical research. The Physics and Engineering divisional libraries likewise carry most publications in the respective technical and scientific fields. These specialized libraries, as well as the General Library, facilitate ease in specific reference material. Raymond M. Hughes, President Emeritus of Iowa State College, prepared a study of American Graduate Schools conferring doctorate degrees, published in 1946, which rated the University of Michigan library facilities first in the country in its collection of mathematical periodicals and publications.

-10TECHNICAL STATEMENT OF WORK The staff members of the Army Mathematics Center will devote approximately 1/2 time to programmatic research and 1/2 time to their own research interests, orientated principally to Army problems and fulfilling research requirements in the following areas: 1. Numerical analysis including engineering physics of high-speed computers. 2. Statistics and probability. 3. Applied mathematics and analysis. 4. Operations research including linear and non-linear programming, game theory and its applications, decision theory, information theory and optimizing problems. (As general background material we would like to take this opportunity to mention a few men that have competence in these four fields, as listed in the Appendix.)

PROPOSAL Organization: The proposed Army Mathematics Center will be administered as a self-contained unit within the Engineering Research Institute of the University of Michigan. 1. The Director and Resident Staff will be employees of the University of Michigan appointed by the Regents of the University. 2. The work and program of the Army Mathematics Center will be determined by the Director, who in turn is responsible to the Administration of the University of Michigan through the Director of the Engineering Research Institute. The Director of the Army Mathematics Center will be aided by a policy and advisory committee composed of administrative officers and faculty members of the University of Michigan. 3. The program of the Center will be determined by the Director taking into consideration deliberations of the University committee and of a non-.resident committee appointed by the Chief of Research and Development, Office of the Deputy Chief of Staff for Plans and Research, Department of the Army. (The nonresident committee is expected to be very helpful in coordinating the fundamental work of the Center with the mathematics research and development program of the Army.) 4. The support of the Center will be funds monitored by

the Research Division, Office of the Chief of Research and Development. 5, The Center will be created and operated by means of a contract between the University of Michigan and a designated contracting agency. It is proposed that the contract will be of a continuing nature with funds specified at least as follows: First year: $400,000 Second year: $600,000 Third year: $800,000 In the event that this project were to be terminated before completion of the contract period, a sixmonth phase-out period with funds will be provided to take care of the writing of final reports, disposition of property, and obtaining suitable employment for key personnel engaged at the Army Mathematics Center. Objectives: "The general objective in establishing the Center is to provide a nucleus of highly qualified mathematicians responsive to the Army, who will carry on investigations slanted toward general. problems having Army relevance and who can be called upon for advice on specific problems which may be outside the specific capabilities of regular Army mathematics facilities. The goal of the Center should be the discovery, if possible, of techniques having direct applications to the Army's needs. The final measure of the success of this work will be its applicability."

-13The following are important functions which it is anticipated that this Center will perform: 1. Create a group of highly qualified mathematicians to work on long-range programmatic and non-programmatic problems of importance to the Army. 2, Supplement the mathematical research work of existing Army activities, 3. Serve as an educational and training facility for military and civilian Army research and development personnel. 4, Develop a reservoir of mathematicians experienced in Army requirements, the condition of vital significance in the event of hostilities, 5. Provide additional opportunities for University graduate students in mathematics. 6. Strengthen the University of Michigan's educational efforts in the field of Applied Mathematics. 7. Coordinate the activities of the Center with the educational program of the University, The establishment of the Army Mathematics Center at the University of Michigan is considered by the administration and the faculty members concerned as an opportunity for the University to contribute to the solution of some of the basic mathematical problems of the Army and at the same time to the fundamental store of mathematical knowledge and to take an active part in the basic research education of qualified mathematicians. Liaison with Army Centers:

-14The function of the Army Mathematics Center requires liaison with the various installations of the Army, especially on the part of the permanent staff of the Army Mathematics Center. An important potential service of the Prm-y Mathematics Center is the dissemination of information about new developments in mathematics and the applications in the work of the Army installations. One important possible use of the Army Mathematics Center in dissemination of information is through participation in short-term intensive programs. These programs can last anywhere from a few days to a few weeks and can be run with anywhere from two to ten lecturers. It is expected that staff members of the Army Mathematics Center would be available for participation in such programs both at the University and at various Army installations. A second function of the liaison with Army installations is the discovery of problems in mathematics which may be suitable for further study by the Army Mathematics Center. Direct contact between the originating source and the Army Mathematics Cente.r is important. To achieve this end, it is desirable that members of the Army Mathematics Center, especially permanent ones, devote a reasonable amount of time to visiting Army installations. Director: The Director of the Center should have the following qualifications: 1. Have a Ph.D. degree in Mathematics, Physics, or the equivalent.

-152. Have a recognized record of contribution to at least two fields of the four of general interest to the Army Mathematics Center activities. This record may include publications, classified research reports, or special lectures. 3. Hold or have held the rank of Professor in a department of Mathematics, Physics, or equivalent in a recognized Institution. 4. Be at least 40 years of age. As soon as the Army Mathematics Center is established, the first important operation will be the appointment of a suitable director. This may be a member of the present University staff, or someone from the outside having qualifications equal to or better than anyone available at the University of Michigan. In the event that the contract is awarded to the University of Michigan, a member of the University Mathematics Department may be designated to undertake the work of faculty supervisor for the initial phases of this program. The heads of the four work areas included in the technical statement of the contract would be selected with the following qualifications in mind: 1. At least two men should have abilities equivalent to those required for appointment as an Associate Professor. The men being considered should have an established position in an appropriate scientific or technical society. For example, the man in Statistics and Probability might be a Fellow in the Institute for Mathematical Statistics, and the man in

-16Operations Research might be a Fellow in the Operations Research Society of America. 2. The category concerning Numerical Analysis should have two men, one on the mathematical side with actual experience in computation on modern machines; the other would have competence and experience in the design of machines. Even though it is contemplated that the machines used in this center may be rented from one of the large manufacturers, it is still desirable to have one permanent member of the staff whose interest is in the design and development of computing machines. He should be able to consider such questions as the possible simultaneous use of digital and analog computers and, in general, to serve as a consultant on questions of machine capabilities. 3. The man in Operations Research should have had experience in the applications of operational research in addition to theoretical knowledge of this particular field. Housing of the Center: During the initial phases of this program, space will be made available by the Mathematics Department to house the Director, and possibly two or three other research people. The MIDAC will be available on a limited basis for computing needs during the initial phases of the program. In the build-up to the proposed level of operation for the Army Mathematics Center, additional space facilities will have to be acquired,

-17Building space at the University is at a premium and the 15,000 to 20,000 sq. feet required for the Center are not available in presently constructed University buildings on the campus. There are three possibilities:s 1. Recognizing the many advantages that will accrue by providing suitable housing for this project, it is proposed that consideration be given to having the University construct a North Campus building to be used exclusively for this research program. In such a case, the University would be reimbursed on an annual basis over a given period possibly six to ten years. It would be understood further that the Army would have exclusive use of this building during payment period unless, by mutual agreement between the Army and the University, other organizations would be allowed to occupy space, provided they assumed a pro-rated amount of the unrecovered costs. 2. Space requirements can also be met by utilizing local commerical rental property. There are currently available suitable facilities requiring only minor alterations, and located in the vicinity of the University. 3. The University has implemented an extensive new building program for the new North Campus (about $8,0c0,000 has been spent in construction contracts during the last two years) and a modernization program on the

campus. It is probable that, at the appropriate times housing for the Army Mathematics Center might be made available through one of the building programs, Additional Notes: The research staff, providing they are full-time employees of the University of Michigan, are allowed the same library privileges as a professor, In brief, these consist of stack privileges, and extended loan periods, The Dean of the Graduate School issues a letter to guests of the University who hold a Ph.D0 or equivalent, The privileges in this connection are: 1, Use of libraries. 2. Attendance at classes (without credit) 3. Work in laboratories without payment of fees, (The University asks reimbursement for laboratory supplies and destructible materials,)

-19APPENDIX I SECURITY The University of Michigan has signed a Security Agreement, Form DD441 dated March 22, 1954, with the Department of Defense, establishing security regulations and listing cleared buildings and facilities. Atomic Energy Commission facilities at the University of Michigan are essentially approved facilities only for the storage of classified information, as related to the Fission Products Laboratory, Phoenix project, Cooley Building, offices of University Atomic Energy Commission Consultants, and the University Research Security Office. The following is the Armed Services Security Clearance Status of Regents, President, Executive and key Administrative Officers at the University of Michigan, Ann Arbor, Michigan. Regents of the University Vera B. Baits SECRET, June 23, 1953, INM Roscoe 0. Bonisteel SECRET, May 21, 1954, INM Alfred B, Connable, Jr. SECRET, May 21, 1953, INM Leland I. Doan SECRET, May 29, 1951 Otto E. Eckert SECRET, May 21, 1953, INM Charles S. Kennedy SECRET, May 25, 1953, INM Kenneth M. Stevens SECRET, Oct. 20, 1953, USAF Executive, Administrative and Key Personnel Harlan Hatcher, President SECRET, Jan. 5, 1953, INN Marvin L. Niehuss, Vice PresSECRET, Dec. 9, 1952, INM Wilbur K. Pierpont, Vice Pres. SECRET, May 14, 1953, Fifth Army Herbert G. Watkins, Secretary SECRET, June 18, 1953, INM Arthur L. Brandon, Univ, Relations SECRET, Sept. 1l, 1952, USAF Edmund A. Cummiskey, Att'y SECRET, Maro 16, 1953, Fifth Army Gilbert L. Lee, Jr., Controller SECRET, Feb. 14, 1952, AMC

-20Ralph A. Sawyer, Dean SECRET, Mar. 4, 1954, USAF Charles Odegaard, Dean SECRET, Oct. 5, 1954, Fifth Army George G. Brown, Dean SECRET, Apr, 7, 1953, INM Richard G. Folsom, Director, Eng. Res. Institute TOP SECRET, Aug. 30, 1954, USAF Harold A. Ohlgren, Asst. Director, Eng, Res. Inst. SECRET, Mar. 8, 1954, Fifth Army Aubrey B. Hicks, Pus. Mngr, Eng. Res. Institute SECRET, Oct. 20, 1953, USAF Frederick E. Oliver, Chief Accountant SECRET, Apr, 7, 1953, INM Laurel Z. Keene, Univ. Res. Security Officer TOP SECRET, Apr. 13, 1953, USAF The following is a list of the cleared professors and instructors on the teaching staff in the Department of Mathematics. Some of these clearances are old and will have to be brought up to date. The following cleared men'represent about 1/4 of the staff of the Department of Mathematics. H. C. Carver SECRET, June 24, 1952 R. V. Churchill SECRET, Feb. 24, 1947, AMC A. H. Copeland, Sr. SECRET, Feb. 12, 1954, USAF C. C. Craig SECRET, June 16, 1948, ONR P. S. Dwyer SECRET, Oct. 12, 1954, USAF T. H. Hildebrandt SECRET, Aug. 24, 1953, ONR E. D. Rainville SECRET, Dec. 8, 1950, AMC C. L. Dolph TS & SECRET, June 5, 1947 AMC & CFL, July 14 1949, INM TS? Feb. 3, 1953, USAF G. E. Hay TS & SECRET, Jan, 9, 1950, AMC E. H. Rothe SECRET, June 6, 1950 INM R. M. Thrall SECRET, Feb. 12, 1954, USAF C. J. Coe TS & SECRET, Apr. 15, 1949, Fifth Army F. Harary CONFIDENTIAL, July 7, 1949, INM A. J. Lohwater SECRET, June 8, 1950 INM C. J. Titus SECRET, June 22, 1954, USAF A. B. Clarke SECRET, June 9, 1953, INM R. L. Davis SECRET, Oct. 15, 1952, INM G, Livesay SECRET, Jan. 12, 1953, ONR D, A. Storvick SECRET, Aug. 11, 1952, INM J. 0o Brooks SECRET, Dec. 5, 1952, INM R. T, Dames SECRET, Aug. 19, 1952, ONR

-21APPENDIX II CONTRACT INFORMATION All University of Michigan Engineering Research Instltute contracts are conducted on a cost-reimbursement basis with monthly billings. The following statements refer to the standard cost items and the policies regulating them~ 1. Reimbursement to be made for salaries and wages of personnel and borrowed personnel directly engaged in the performance of the work and properly allocable thereto including salaries and wages for vacation and siek leave pay of its personnel pursuant to the established practice of the University, 2. Expenditures are to be made for the transportation of the persons directly engaged in the performance of the work and such reasonable actual subsistence expenses according to the conditions of the published University travel policy, University policy is to reimburse for actual reasonable costs incurred. 3. The purchase of capital equipment, building alterations, and purchase orders should be allowable costs up to $2500 without prior approval of the contracting officer. 4. An overhead rate of 37% on personnel has been negotiated and established by the representatives of the Department of Defense and of the University of Michigan, effective for the period January 1, 1955 through December 31, 1956. Other Direct Salaries and Wages* is the allocated portion of salary costs for project service personnel directly engaged

-22APPENDIX II in the administration of research activities. These salaries are classified as direct costs in the overhead calculation and are not included in the overhead expense poolo These salary charges are allocated to specific contracts on a percentage basis acceptable to the Resident Government AuditorO (Present practice indicates 10% on the direct salaries). Other Direct Supplies and Expense* is the allocated portion of supplies and other non-salary costs incurred in direct support of research activities. These costs are classified as direct costs and are not included in the overhead expense poolo They are allocated to specific contracts on a percentage basis acceptable to the Resident Government Auditor, (Present practice' indicates 2% on direct salaries) * In most Institutions these charges are made on an actual hours-spent and actual materials-used charge.

-23APPENDIX III DISCUSSION OF ANN ARBOR ENVIRONMENT The city of Ann Arbor has a population of approximately 40,00 without the University students.. There is a limited amount of industry carried on here such as Argus Camera Inc,, Hoover Ball and Bearing Co., King Seeley Corp. (primarily producers of automobile instruments) and American Broach Co. The following distances indicate that Ann Arbor is adjacent to, but not part of, the surrounding centers, in the event of hostilities: 38 miles west of Detroit 56 miles south of Flint 34 miles east of Jackson 58 miles north of Toledo The- New York Central Railroad passes directly through Ann Arbor; five trains run daily to Chicago and six to Detroit, The Willow Run Airport, serving Detroit and the metropolitan area is owned by the University of Michigan and located approximately 14 miles from the campus. Direct commercial flights are available to most important cities of the country. Ann Arbor is close enough to the metropolitan area of Detroit to enjoy some of the large recreation areas, symphony orchestras, and other activities that are associated with a large city. On the other hand, Ann Arbor is pretty much self-contained, Activities: We enjoy the musical concerts throughout the winter months, and a concentrated May Festival, featuring the Philadelphia Symphony Orchestra, conducted by Eugene Ormandy, and several outstanding soloists, such as Lily Pens, Fritz Kreisler, Myra Hess, etc.

-24APPENDIX III During the spring months the University of Michigan Drama Festival presents actresses such as Helen Hayes, Eva LeGallienne, and Katherine Cornello Nine noted personalities have been signed for the 101st Annual Lecture Courseo Some of these will include Senator Alexander Wiley, Senator Wayne Morse and Norman Vincent Peale, We have local groups such as the Dramatic Arts Center and the Ann Arbor Civic Theatre where individuals can express their particular talents. The athletic facilities of the University have family nights for athletic events as recreational programs, Community square-dancing is enjoyed by several local groups. There are numerous lakes within a 25 mile area of Ann Arbor for summer cottages and swimmingo There are three private country clubs - Barton Hills, Washtenaw Country Club, and Ann Arbor Golf and Outingo This past June the Michigan Open Golf Championship was held at the Washtenaw course, The University of Michigan also maintains a good 18 hole golf course for students and faculty, In addition, the city of Ann Arbor maintains two municipal golf courseso School System: The Ann Arbor school system has been expanded and in the past two years has completed a new Junior High School for around 1,000 students and has added a wing on the other Junior High School for about 500 studerts. Both of these schools have standard swimming pools. Several new grade schools have been completed, The new Ann Arbor High School is under construction and will be completed next February, This new high school will have one of the finest plants in the country. The School of Education of the University of Michigan offers a complete training for students through the high school level. If desired, students can enroll

-25APPENDIX III in the kindergarten and complete their education through their high school diploma at the University school system. Athletic Plant: The University of Michigan has one of the most complete athletic plants in the country, both for intramural and extramural sports. Its teams participate in the following sports: baseball, basketball, football, golf, handball, ice hockey, swimming, tennis, track, wrestling, and others. Employee Housing: An increasingly large amount of building is going on in Ann Arbor. Several new housing developments are under construction, Privately owned housing projects such as Pittsfield Village and the Nob Hill Apartments are located in the surrounding area in addition to the University Terrace and the North Campus Apartments, which provide housing for full and part-time students, Services are available through the University Rental Property Office to any employee of the University who has a fulltime academic appointment~ The Office publishes monthly listings of available housing including both University-owned housing and listings that are received from other sourceso The cost of living in the Ann Arbor vicinity is comparable to our larger cities and ranks fairly high with the index of cost of living in the country,

-26APPENDIX IV Present faculty and staff engaged in specific problems listed in technical statement of works 1, Asst, Profo John Carr, PhoDo,. Mathematics mathematical physics, computer programming, and operation, network synthesis Head of MIDAC Computer at the Willow Run Laboratorieso Profo Paul S. Dwyer, PhoDo, Mathematics mathematics and educational statistics, use of Hollerith machines in statistical wrk, statistical computation techniques, specifically on fire control, matrix inversion, and linear programmingo Years research program on statistical analysis of Air Force personnel compatibility, developing generalized mathematical procedures for optimum assembly of potentially effective combat crewso Prof, H, Ho Goode, MA, Electrical Engineering pursuit curves mathematical analysis applied to engineering development, correlation in mathematical statistics, application to educational psychology, mechanization of binomial sequential analysis, automatic computation. 2, Profo Arthur Ho Copeland, PhoD., Mathematics theory of probability, mechanics, analysis Prof. C, C, Craig, PhoD., Mathematics mathematical statistics; Director of the Statistical Research Laboratory. AsSt, Prof. Donald Ao Darling, PhoD., Mathematics mathematical statistics, probability and applications; stochastic processes, Profo Paul S. Dwyer (see above) 3, Assoc, Prof. R, C, F, Bartels, Mathematics hydrodynamics, aerodynamics, dynamics, mechanics of a continuum potential theoryo Prof, R, V. Churchill, Ph.D., Mathematics operational mathematics, mathematical theory of heat conduction and diffusion, boundary-value problems in partial differential equations, vibrationi published "Modern Operational Mathematics in Engineering" McGraw-Hill, 1944; "Introduction to Complex Variables and Applications" McGraw-Hill - 19480 Assoc, Prof. Charles Lo Dolph, Ph.D~, Mathematics electromagnetic theory, including propagation, scattering antennas, network analysis, integral equation-theory of linear prediction and aerodynamics, including turbulence, vibrations analysis, guided missiles,

-27APPENDIX IV Assoc, Profo George E Hay, PhDo, Mathematics mathematical theory of elasticity,, iechanicso Mr. Andrew L. Mo ffett, MA, Research Engineer Former Profo of Mathematics at Gettysburg College group theoretical methods, modern algebraic techniques and boundary-value problemso Asst, Profo Robert K. Ritt PhDo Mtathematics electromagnetic theory, variational methods, boundaryvalue problems involving differential and integral equation and general methods of operational calculuso Professor Erich Ho Rothe, PhoDo, Mathematics boundary-value problems of partial differential equations, integral equations, topology in- function spaces and applications to analysis. Mro Keeve Mo Siegel, MAo, Research Engineer Head mathematical theory and analysis group Willow Run Laboratories, electromagnetic wave theory, hydrodynamic solution to boundry-value problemso Dro Hershel Weil, PhoDo. Research Engineer Applied Mathematics, btoundary-value problems. Dr Bruce Ao Clarke, Mathematics abstract algebra, probability theory, stochastic processes Profo Arthur Ho Copeland (see above) Assto Profo Donald A0 Darling (see above) Profo Ho Ho Goode (see above) Assoco Prof Robert Mo Howe, PhoDo, Aeronautical Engineering design and application of electronic differential analyzers to eigenvalue problems, wave propagation, heat-transfer, flight simulation, structural dynamics; design and analysis of feedback control systemso Assoc, Profo Alan Bo Macnee, ScoDo, Electrical Engineering design and development of electronic differential analyzer for computing machines; research in the fields of network synthesis and information theory., Prof. Lawrence Lo Rauch, PhoDo, Aeronautical Engineering experiments and research in error reduction in antiaircraft height finder; theory of tangent trajectory range finder; fire-control equipment and systemso Design of electronic instrmentation for Uranium Separation Project, Research in developing electronic differential analyzers to investigate properties of nonlinear differential equations and systems. Basic research in nonlinear systems, electronics,

-28APPENDIX IV Prof. Robert M. Thrall, PhoDo Mathematics algebra, particularly group the@ry and representation theory; lattice theory and game theory operations analysis. Fellow in Operations Research Society of Americao Mr. Dean Wi1.on, BoSo Research Engineer operations research'

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