A Guide to the William T. Reid Papers,
19251977





Creator: 
Reid, William T. (William
Thomas), 1907, Oct. 41977 

Title: 
William T. Reid Papers


Dates: 
19251977 

Abstract: 
William T. Reid was
professor of mathematics at Northwestern University (19441959), University of
Iowa (19591964), and University of Oklahoma (19641976). He was a visiting
scientist at the University of Texas at Austin when he died on October 14,
1977. His papers (19251977) document his career from his undergraduate
studies (1925) to the year of his death. 

Extent: 
30 ft. 

Language: 
Collection material is written in
English. 

Repository: 
Dolph Briscoe Center for American
History, The University of Texas at
Austin 
William Thomas Reid was born October 4, 1907, near Grand Saline,
Texas, and attended college at Simmons (now HardinSimmons) University in
Abilene, Texas. His M.A. and Ph.D. (1929) were obtained at the University of
Texas at Austin. He was National Research Fellow (19291931) and then a faculty
member (19311944) at the University of Chicago. Reid was professor of
mathematics at Northwestern University (19441959), University of Iowa (19591964),
and University of Oklahoma (19641976). He was a visiting scientist at the
University of Texas at Austin when he died on October 14, 1977.
Reid's research concerned differential equations, calculus of
variations, and optimal control. He devoted particular attention to the
relations between the theory of differential equations and extremum principles.
During World War II he served as consultant in mathematics to the Army Air
Corps and served in the PreMeteorology program. He was chairman of the
subcommittee on examinations of the War Policy Committee of the American
Mathematical Society and the Mathematical Association of America.
Background to Reid's World War II work may be found in Henry C. Herge.
1948. Wartime College Training Programs of the Armed Services. Washington,
D.C.: American Council on Education, 214 pp.
Source: "Biographical Record of William Thomas Reid," William T. Reid Papers,
Archives of American Mathematics, Dolph Briscoe Center for American History, University
of Texas at Austin.
Professor Reid's papers (19251977) document his career from
his undergraduate studies (1925) to the year of his death. There is a series of
his graduate seminars at the University of Chicago, Northwestern University, and the
Universities of Iowa and Oklahoma (19311976). The series of conferences
and symposia include material related to presentations by Reid together with
notes by Reid on presentations by others. In some cases Reid filed notes on
conferences and symposia attended with the graduate seminars. There is
documentation of Reid's work with mathematics education during World War II
(19401946). The papers also contain a substantial quantity of largely
unorganized notes concerning Reid's research. Some of this material
has been labeled by Reid's student, C. Ahlbrandt. Reid's reprint collection
contains summaries written by Reid for Mathematical Reviews
and the Zentralblatt für Mathematik. The collection also
includes a small number of books from Reid’s personal library. Some of the
papers of Ernst Hellinger, mainly consisting of seminars given both before and
after his arrival in the United States, are included (19151949). More of
Hellinger's papers are in the Dehn (Max) Papers. Correspondents include G. A.
Bliss, R. Courant, Dunham Jackson, R. L. Moore, Marston Morse, and A. C.
Zaanen.



Organization 

Organized into the following series: 




General correspondence 


Books 


Articles 


Lectures 


Conferences and symposia 


Grants 


Teaching 


Seminars 


Military work (World War II) 


Faculty and administrative 


Organizations 


Mathematicians  Biographical and memorial items 


Ernst D. Hellinger 


Subject files and notes 


Personal 


Materials sent to Reid 


Mimeographed lecture notes (not by Reid) 


Letters of reference / review for promotion 


Referee work and comments 


Reprints of Reid's articles 


Theses of Reid's students and associates 


Reid's reprint collection 


Diplomas 


Reid's library 
Access Restrictions
Access to student records is restricted until 80 years after the date
of creation. All other material is open for research.
Use Restrictions
The bulk of these papers are stored remotely at CDL. Advance
notice required for retrieval. Contact repository for retrieval. Photographs are stored onsite.







Subjects (Persons) 


Bliss, Gilber Ames, 18761951 


Bolza, O. (Oskar), 19571942 


Courant, Richard, 18881972 


Ewing, George M. (George McNaught), 1907 


Hellinger, Ernst D. 


Reid, William T. (William Thomas), 1907 Oct. 41977 


Scott, Walker T. 

Subjects (Organizations) 


University of Chicago. Dept. of Mathematics. 


University of Iowa. Dept. of Mathematics. 


University of Oklahoma. Dept. of Mathematics. 


University of Texas at Austin. Dept. of Mathematics 


Northwestern University. Dept. of Mathematics. 

Subjects 


Differential equations 


Calculus of variations 
William T. Reid Papers, 19251977, Archives of American Mathematics,
Dolph Briscoe Center for American History, University of Texas at Austin.
Detailed Description of the Papers















General correspondence,
19311977 
box 
8625/1 


A  B 



C  M 



N  Z, Unidentified 
box 
2014117/1 


Additional correspondence, 196972 















Books 
box 
8625/1 


Ordinary Differential Equations 
box 
8625/2 


Reviews, correspondence 



Riccati Differential Equations  correspondence;
Manuscript fragments 



Sturmian Theory (material for unpublished
book) 
box 
2005143/25 


Topics in Linear Algebra for Applications,
unpublished manuscript, [bound and donated by Charles D. Robinson],
undated 















Articles 
box 
8625/2 


Correspondence,
19671970 



Correspondence and manuscripts,
19741976, and undated 



A critique of oscillation of differential systems;
Oscillation theory in abstract spaces 



Manuscripts and working files 



Mathematical Reviews and
Zentralblatt 
box 
8625/3 


The minimum of a certain definite integral…
and related later work (1954), 



Oskar Bolza 



Sufficient conditions by expansion methods for the
problem of Bolza in the calculus of variations 



Tauberian theorem for power series, with correspondence
with Paul Erdös, Konrad Knopp, and Helmut Wielandt 



William M. Whyburn,
19011972 















Lectures 
box 
8625/3 


Dittoed lecture and seminar notes 



Lecture notes 



University of Puerto Rico,
19451946 
box 
2014117/1 


Introduction to Functions of a Complex Variable,
University of Puerto Rico, 194546 















Conferences and symposia 
box 
8625/4 


19631977 



University of Oklahoma Conference on Optimal Control and
Differential Equations,
March 2326,
1977 















Grants 
box 
8625/4 


Correspondence, reports, financial statements,
19561975 



Correspondence, proposals, reports, financial records,
19611966 
box 
8625/5 


Correspondence, proposals, reports,
19641977 



Correspondence,
19671976 



Correspondence, proposals, reports,
19681976 















Teaching 
box 
8625/5 


University of Chicago lecture notes,
19331937, and undated 



Northwestern University course notes 
box 
8625/6 


Course notes 



Functional analysis 
box 
2014117/3 


Boundary Problems 
box 
8625/6 


Mimeographed lecture notes 




Infinite Series and Definite Integrals, 1934, revised
1939 




Infinite Series and Definite Integrals, (with
inclusions),
1943 




Introduction to the Theory of Functions,
1941 
box 
8625/7 



Introduction to the Theory of Functions,
1944 




Introduction to the Theory of the Lebesgue Integral,
1950 




Topology, Calculus of Variations 
box 
2014117/3 



Introduction to Expansion Methods in the Calculus of Variations,
undated 




Introduction to Laplace Transforms,
undated 




Moment Problems,
undated 



Exams 




Blue book,
1942 
box 
8625/7 



Largely calculus of variations,
19481970, and undated 




19541974, and undated 




19611970; Advanced calculus,
19471975 




Complex Variables; Elementary Differential Equations;
Real Variables 
box 
8625/8 



Masters and doctoral 
box 
2014117/2 



RESTRICTED: Doctoral,
1972 and undated 



Doctoral Students 




RESTRICTED: Student files,
196672 




Dissertation annoucements,
196667 




List of Ph.D. degrees granted in Mathematics at University of Oklahoma,
undated 















Seminars 
box 
8625/8 


University of Chicago,
1931, 1942, and undated 



19451947 



19481949 



19501951 



19521953 
box 
8625/9 


19541964 



19651966 



1967 



19681973 
box 
8625/10 


19731978 



1970s (undated) 



Oklahoma,
1960s or 1970s 



Oklahoma,
undated, 1970s 
box 
2014117/3 


Mimeographed seminars I, various authors,
197576 



Mimeographed seminars II, various authors,
197576 



Analysis Seminars 




Winter,
194243 




Spring,
1946 




Autumn,
1946 




Winter,
1947 




Autumn,
1949 




Spring,
1950 




Winter,
1950 




Fall,
1952 




Winter,
1952 




Spring,
1953 




Winter,
1953 




Winter,
1954 















Military work (World War II) 
box 
8625/11 


Aerial photogrammetry 



Ballistics, correspondence and calculations 



Ballistics, reports and calculations 



PreMeteorology examinations 




"B" program 




Bowdoin  May "C" roster 




Correspondence (general file) 




Correspondence, College algebra, Analysis of C
examinations 
box 
8625/12 



Correspondence, Committee chairmanship, Endofcourse
examinations 




Correspondence, reports, examinations 




War Policy Committee, Subcommittee on
Examinations 




U.S. Armed Forces Institute examinations 




War Manpower Commission 















Faculty and administrative 
box 
8625/13 


University of Chicago, Northwestern University, University of Iowa, and
University of Oklahoma 
box 
2014117/1 


University of Oklahoma search committees correspondence,
1970 



Administrative records,
1974 and undated 















Organizations 
box 
8625/13 


American Association for the Advancement of Science,
1974 



American Mathematical Society,
19361937 



Mathematical Association of America,
1964, 1976 



National Research Council, Division of
Mathematics 
box 
4RM203c 



Research Fellow certificate, 1929 
box 
8625/13 



Committee on Regional Development, 19631964 



Society for Industrial and Applied Mathematics, visiting
lectureship program,
19641966 















Mathematicians  Biographical and memorial
items 
box 
8625/13 


J. H. Barrett, G. A. Bliss, L. R. Ford, F. Klein, R. L. Moore/H. S. Wall, R. Woods 
box 
AAMOS/2 


E. H. Moore (portrait), 1930 















Ernst D. Hellinger 
box 
8625/13 


Correspondence on Hellinger's death
(1950) 



Biographical and memorial items 
box 
3W111 


Photograph of Hellinger, Aug. 20, 1949 
box 
8625/13 


Letter, from E. Rofhe [?],
1943 



Lecture notes, (including Frankfurt Colloquium),
1919, 1921, 1932, 1939, and
undated 



Notes on transcendence of π; Bericht über die
Entwicklung seit 1933 und über den gegenwärtigen Stand des Mathematischen
Seminars der Universität Frankfurt,
1949 



Mss, 1922, 1937; Seminars, 1939; Teaching notes and
exams,
19371949 
box 
8625/14 


Reprints (not by Hellinger), some annotated 



Seminars,
19411943 



Spectra of quadratic forms; Northwestern University and
Chicago Mathematical Club seminars, 19391949; Frankfurt
Colloquium, 1915 















Subject files and notes 
box 
8625/14 


Cartesian products, Maximum and minimum, A generalized
Mayer problem 



Functional analysis (in part) I 
box 
8625/15 


Functional analysis (in part) II 



Generalized inverses; Optimal control 



Isoperimetric problems for quadratic functionals; Linear
systems, quadratic functionals 



Items labeled by C. Ahlbrandt I 




Jacobi equations 




MoorePenrose generalized inverse 




Extremum properties of eigenvalues for SturmLiouville
problems and quadratic functionals 




Comments on a result of D. Banks 




Oscillation theory 




Correspondence with Lee Peng Yee on
integration 




Limit point  limit circle, monogeneity of
eigenvalues 




Related to Lion's seminar at Texas? 




Convex functions 




Comments on work of A.J. Levin (Green's functions for
differential operators) 




SL (SturmLiouville?) differential
operators 




Redheffer's work on Riccati equations 




Comments on a paper of L. M. Graves 



Items labeled by C. Ahlbrandt II 




Resolvent operators for families of endomorphisms of a
Banach space 




RiemannSteiltjes quadratic forms 




Generalized Jacobi conditions 




Differential equations in abstract spaces 




Characteristic exponents of functions 




Growth of solutions of ordinary differential
equations 




Green's functions 



Items labeled by C. Ahlbrandt III 




SturmLiouville boundary value problems 




Excerpt from textbook draft 




Work of Wm Coles  Utah 




Quadratic functionals, Jacobi conditions 




Dependence upon initial conditions 




Multiple integral problems in the calculus of
variations 
box 
8625/16 


Items labeled by C. Ahlbrandt IV 




SturmLiouville boundary value problems  Green's
functions 




Fundamental lemma of the calculus of variations and
its generalizations; Quadratic variational problems 




Largely matrix equations; General distance spaces and
their polygons 




Mason's lemma; Energy principle and energy method;
Theorem on conditional stability 




Notebook (University of Chicago); Notes from books of
A. E. Taylor and L. M. Graves; Geometry notes 




Notes I  III 
box 
8625/17 



Notes IV  VI 




Notes from expandable file I 
box 
8625/18 



Notes from expandable file II 




Potential theory; Polynomial approximations of
functions, adjoint systems, quadratic functionals 




Symmetrizable transformations; Liouville 




Topology; Notes on multiple integral problems of the
calculus of variations…; Asymptotics 




Transport theory; Riccati matrix differential
equations; Contraction mapping theorem; E. Hille's Selecta; Theorem on
integration of vectorvalued functions; Boundary value problems 
box 
8625/19 



Typescript and mimeographed items: Vita of YuanYung
Tseng; Unidentified lecture notes and lists of theorems on RadonNikodym
theorems, topological spaces, measure theory, parametric surfaces; G. W. Mackey,
On Infinite Dimensional Linear Spaces; Point Set Theory; Lecture notes of J. L.
Lions' lectures at the University of Texas(?)[labeled by C. Ahlbrandt];
Bibliography cards 















Personal 
box 
8625/20 


Curriculum vitae; Newspaper clippings; Quotations;
Certificates and awards; Correspondence concerning UT Fleming collection;
Photographs and sketch 
box 
3W111 


Photographs 




Reid at UT with [J. H.?] Roberts, C. Cleveland, [N.?] Rutt, J. Dorroh, Lucille Whyburn, G. T. Whyburn, R. L. Moore, R. Lubben 19271928? 




Reid, University of Chicago, 1939? 
box 
8625/20 


Education 




Notes; Undergraduate mathematics paper 




Course notes I  III 
box 
8625/21 



Course notes IV 




Master's thesis; Doctoral thesis 















Materials sent to Reid 
box 
2014117/4 


Frank Faulkner,
received 1967 




U.S. Naval Postgraduate School articles 



H.S. Wall,
received 1969 




Ernst Hellinger article [copy] 



Jack Warga,
received 1969 




"Conflicting Minimax Controls" 




"On a Class of Pusuit and Evasion Problems" 




"Control Problems with Functional Restrictions" 



Stanley Burris, concerning E.H. Moore,
received 1970 



Paul Waltman,
received 1970 




"A Nonlinear Boundary Value Problem of SturmLiouville Type
for a Two Dimensional System of Ordinary Differential Equations,"
1970 




"A Problem in Theory of Epidemics,"
1970 



A.M. Fink 




"Conjugate Inequalities for Functions and the Derivatives,"
undated 



Gene Levy,
received 1974 




Problems from American Mathematical Soceity Meeting,
1974 



H.J. Hettlinger article, "Countable Linear Differential Systems,"
1928 
box 
2014117/1 


Technical Report, "Nonlinear Differential Equations of the Second Order,"
195355 



Bulletin of the American Mathematical Society 




October,
1930 




October,
1937 




September,
1959 




April,
1946 















Mimeographed lecture notes 
box 
8625/21 


Bliss, G. A. Topics of the Calculus of Variations, 1932,
reports and lectures by several persons, Mimeographed and ms notes 



Bliss, G. A. The Calculus of Variations, Multiple
Integrals, 1933, 1939, with ms notes 
box 
8625/22 


Carathéodory, C. Second Course in the Theory of
Functions,
19361937 



Courant, R. The Calculus of Variations,
19451956, 19491950 



Ettlinger, H. J. Notes on Integration,
1934 



Friedrichs, K. O. Advanced Ordinary Differential
Equations,
19481949 



Friedrichs, K. O. A Chapter in the Theory of Linear
Operators in Hilbert Space,
1951 



Graves, L. M. Introduction to the Theory of Functions,
1934 



Hille, E. Fourier Series,
1931 
box 
8625/23 


Mayor, W. Calculus of Variations,
19351936 



Morse, M. Analysis in the Large,
19361937 



de Rham, G & K. Kodaira. Harmonic Integrals,
1950 



Stone, M. H. Theory of Real Functions,
1940 



Szász, O. Selected Topics in Function Theory of a
Complex Variable,
1935 



Tamarkin, J. D. On the Theory of Polynomials of
Approximation,
1936 















Letters of reference / review for promotion 
box 
8625/42 


19341959 



19601969 



19701976 and undated 
box 
2014117/1 


Letters of reference,
196576 



Letters of reference for Terry Herdman,
1975 



RESTRICTED: Letters of reference for Richard Holman,
1975 
box 
2014117/2 


Graduate students,
1975 















Referee work and comments 
box 
8625/25 


Papers 




19551963, 1977 and undated 
box 
8625/42 



19631977 
box 
8625/43 



19631977 
box 
2014117/1 


Associate editor, SIAM Journal on Mathematical Analysis 




1969 




19691974 
box 
8625/43 



19721977 
box 
8625/25 


Research proposals 




Correspondence and reports: 





19631976 
box 
8625/43 




19651977 and undated 
box 
8625/25 



Supplementary printed materials and original envelopes,
19701973 



Generalized spaces, Garret J. Etgen, [includes correspondence and preprints],
19731977 and undated 



Garret J. Etgen,
19661969 



Carl H. Rassumusen dissertation,
JanuaryJune 1977 















box 
8625/2324 

Reprints of Reid's articles 















Theses of Reid's students and associates 
box 
8625/26 


Theses I 
box 
8625/41 


Theses II 
box 
2014117/2 


Margaret Helen Stange,
1946 



Walter Gill Kelley,
1972 















Reid's reprint collection [alpha by author] 
box 
8625/2740 


Reprints 
box 
2014117/4 


Additional reprints 















Diplomas [currently restricted for preservation purposes] 
box 
PRES 


Bachelors, from Simmons University,
1926 



Masters, from the University of Texas,
1927 



PhD, from the University of Texas,
1929 



Honorary doctorate, from HardinSimmons University,
1943 















Reid's library 
box 
CDL (3rd fl & 3rd basement) 


Carll, Lewis Buffett. A treatise on
the calculus of variations. 1881. 



A collection of papers in memory of Sir William
Rowen Hamilton. 1945. 



Diaz, J. R., and L. E. Payne, eds. Proceedings
of the Conference on Differential Equations. 1956. 



Graves, Lawrence Murray. The theory of functions
of real variables. 1946. 



John Wiley & Sons. Author's guide for
preparing manuscript and handling proof. 1950. 



Lebesgue, Henri. Leçons sur les séries
trigonométriques. 1906. 



Lieber, Hugh Gray, and Lillian R. Lieber. The
education of T. C. Mits (The Celebrated Man In The Street): What modern mathematics
means to you. 1944. 



Reid, William Thomas. Ordinary differential
equations. 1971. 



Stagg, Amos Alonzo, and Wesley Winans Stout. Touchdown! 1927. 



Taylor, Angus Ellis. General theory of functions
and integration. 1965. 



Taylor, Angus Ellis. Introduction to functional
analysis. 1958. 



University of Chicago Press. A manual of
style. undated. 



University of Chicago, Dept. of Mathematics. Contributions
to the calculus of variations, 1930. 1931. 



University of Chicago, Dept. of Mathematics. Contributions
to the calculus of variations, 19311932. 1933. 



University of Chicago, Dept. of Mathematics. Contributions
to the calculus of variations, 19331937. 1938. 



University of Chicago, Dept. of Mathematics. Contributions
to the calculus of variations, 19381941. 1942. 



World directory of mathematicians.
1958. 
