TABLE OF CONTENTS
Descriptive Summary
Biographical Note:
Scope and Contents:
Organization
Administrative Information
Source:
Description of Series
General correspondence,
1931-1977
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
Mimeographed lecture notes
Reprints of Reid's articles
Theses of Reid's students and associates
Reid's reprint collection
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A Guide to the William T. Reid Papers,
1925-1977
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Creator: |
Reid, William T. (William
Thomas), 1907, Oct. 4-1977 |
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Title: |
William T. Reid Papers,
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Dates: |
1925-1977 |
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Abstract: |
William T. Reid was
professor of mathematics at Northwestern University (1944-59), University of
Iowa (1959-64), and University of Oklahoma (1964-1976). He was a visiting
scientist at the University of Texas at Austin when he died on October 14,
1977. His papers (1925-1977; 8 ft.) document his career from his undergraduate
studies (1925) to the year of his death. |
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Extent: |
28 ft. |
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Language: |
Collection material is written in
English. |
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Repository: |
Archives of American Mathematics, 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 Hardin-Simmons) 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 (1929-31) and then a faculty
member (1931-44) at the University of Chicago. Reid was professor of
mathematics at Northwestern University (1944-59), University of Iowa (1959-64),
and University of Oklahoma (1964-1976). 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 Pre-Meteorology 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.
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Professor Reid's papers (1925-1977; 8 ft.) 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, and the
Universities of Iowa and Oklahoma (1931-76; 12 in.). 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
(1940-46; 9 in.). The papers also contain a substantial quantity of largely
unorganized notes concerning Reid's research (26 in.). 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. Some of the
papers of Ernst Hellinger, mainly consisting of seminars given both before and
after his arrival in the United States, are included (1915-49; 3 in.). 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.
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Organization |
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Organized into the following series: |
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General correspondence |
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Books |
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Articles |
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Lectures |
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Conferences and symposia |
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Grants |
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Teaching |
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Seminars |
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Military work (World War II) |
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Faculty and administrative |
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Organizations |
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Mathematicians - Biographical and memorial items |
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Ernst D. Hellinger |
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Subject files and notes |
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Personal |
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Mimeographed lecture notes (not by Reid) |
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Reprints of Reid's articles |
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Theses of Reid's students and associates |
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Reid's reprint collection |
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William T. Reid Papers, 1925-1977, Archives of American Mathematics,
Center for American History, University of Texas at Austin
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"Biographical Record of William Thomas Reid", William T. Reid Papers,
Archives of American Mathematics, Center for American History, The University
of Texas at Austin |
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General correspondence,
1931-1977 |
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A - B |
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C - M |
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N - Z, Unidentified |
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Books |
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Ordinary Differential Equations |
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Reviews, correspondence |
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Riccati Differential Equations - correspondence;
Manuscript fragments |
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Sturmian Theory (material for unpublished
book) |
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Topics in Linear Algebra for Applications,
unpublished manuscript, [bound and donated by Charles D. Robinson],
undated |
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Articles |
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Correspondence,
1967-70 |
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Correspondence and manuscripts,
1974-76, and undated |
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A critique of oscillation of differential systems;
Oscillation theory in abstract spaces |
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Manuscripts and working files |
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Mathematical Reviews and
Zentralblatt |
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The minimum of a certain definite integral…
and related later work (1954), |
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Oskar Bolza |
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Sufficient conditions by expansion methods for the
problem of Bolza in the calculus of variations |
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Tauberian theorem for power series, with correspondence
with Paul Erdös, Konrad Knopp, and Helmut Wielandt |
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William M. Whyburn,
1901-1972 |
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Lectures |
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Dittoed lecture and seminar notes |
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Lecture notes |
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University of Puerto Rico,
1945-46 |
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Conferences and symposia |
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1963-1977 |
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University of Oklahoma Conference on Optimal Control and
Differential Equations,
March 23-26,
1977 |
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Grants |
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Correspondence, reports, financial statements,
1956-75 |
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Correspondence, proposals, reports, financial records,
1961-66 |
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Correspondence, proposals, reports,
1964-77 |
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Correspondence,
1967-76 |
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Correspondence, proposals, reports,
1968-76 |
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Teaching |
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University of Chicago lecture notes,
1933-37, and undated |
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Northwestern University course notes |
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Course notes |
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Functional analysis |
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Mimeographed lecture notes |
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Infinite Series and Definite Integrals, 1934, revised
1939 |
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Infinite Series and Definite Integrals, (with
inclusions),
1943 |
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Introduction to the Theory of Functions,
1941 |
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Introduction to the Theory of Functions,
1944 |
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Introduction to the Theory of the Lebesgue Integral,
1950 |
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Topology, Calculus of Variations |
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Exams |
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Largely calculus of variations,
1948-70, and undated |
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1954-74, and undated |
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1961-70; Advanced calculus,
1947-75 |
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Complex Variables; Elementary Differential Equations;
Real Variables |
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| 5.2/86-25/8 |
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Masters and doctoral |
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Seminars |
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University of Chicago,
1931, 1942, and undated |
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1945-47 |
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1948-49 |
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1950-51 |
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1952-53 |
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1954-64 |
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1965-66 |
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1967 |
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1968-73 |
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1973-78 |
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1970s (undated) |
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Oklahoma,
1960s or 70s |
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Oklahoma,
undated, 1970s |
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Military work (World War II) |
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Aerial photogrammetry |
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Ballistics, correspondence and calculations |
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Ballistics, reports and calculations |
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Pre-Meteorology examinations |
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"B" program |
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Bowdoin - May "C" roster |
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Correspondence (general file) |
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Correspondence, College algebra, Analysis of C
examinations |
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| 5.2/86-25/12 |
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Correspondence, Committee chairmanship, End-of-course
examinations |
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Correspondence, reports, examinations |
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War Policy Committee, Subcommittee on
Examinations |
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U.S. Armed Forces Institute examinations |
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War Manpower Commission |
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Faculty and administrative |
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| 5.2/86-25/13 |
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University of Chicago, Northwestern, Iowa, and
Oklahoma |
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Organizations |
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American Association for the Advancement of Science,
1974 |
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American Mathematical Society,
1936-37 |
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Mathematical Association of America,
1964, 1976 |
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National Research Council, Division of
Mathematics |
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| 4RM203c |
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Research Fellow certificate, 1929 |
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Committee on Regional Development, 1963-1964 |
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Society for Industrial and Applied Mathematics, visiting
lectureship program,
1964-66 |
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Mathematicians - Biographical and memorial
items |
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| 5.2/86-25/13 |
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J.H. Barrett, G.A. Bliss, L.R. Ford, F. Klein, E.H.
Moore (portrait), R.L. Moore/H.S. Wall, R. Woods |
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Ernst D. Hellinger |
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Correspondence on Hellinger's death
(1950) |
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Biographical and memorial items |
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Photograph |
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Letter, from E. Rofhe [?],
1943 |
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Lecture notes, (including Frankfurt Colloquium),
1919, 1921, 1932, 1939, and
undated |
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Notes on transcendence of π; Bericht über die
Entwicklung seit 1933 und über den gegenwärtigen Stand des Mathematischen
Seminars der Universität Frankfurt,
1949 |
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Mss, 1922, 1937; Seminars, 1939; Teaching notes and
exams,
1937-49 |
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Reprints (not by Hellinger), some annotated |
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Seminars,
1941-43 |
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Spectra of quadratic forms; Northwestern University and
Chicago Mathematical Club seminars, 1939-49; Frankfurt
Colloquium,1915 |
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Subject files and notes |
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| 5.2/86-25/14 |
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Cartesian products, Maximum and minimum, A generalized
Mayer problem |
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Functional analysis (in part) I |
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| 5.2/86-25/15 |
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Functional analysis (in part) II |
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Generalized inverses; Optimal control |
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Isoperimetric problems for quadratic functionals; Linear
systems, quadratic functionals |
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Items labeled by C. Ahlbrandt I |
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Jacobi equations |
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Moore-Penrose generalized inverse |
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Extremum properties of eigenvalues for Sturm-Liouville
problems and quadratic functionals |
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Comments on a result of D. Banks |
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Oscillation theory |
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Correspondence with Lee Peng Yee on
integration |
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Limit point - limit circle, monogeneity of
eigenvalues |
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Related to Lion's seminar at Texas? |
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Convex functions |
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Comments on work of A.J. Levin (Green's functions for
differential operators) |
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SL (Sturm-Liouville?) differential
operators |
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Redheffer's work on Riccati equations |
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Comments on a paper of L.M. Graves |
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Items labeled by C. Ahlbrandt II |
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Resolvent operators for families of endomorphisms of a
Banach space |
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Riemann-Steiltjes quadratic forms |
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Generalized Jacobi conditions |
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Differential equations in abstract spaces |
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Characteristic exponents of functions |
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Growth of solutions of ordinary differential
equations |
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Green's functions |
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Items labeled by C. Ahlbrandt III |
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Sturm-Liouville boundary value problems |
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Excerpt from textbook draft |
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Work of Wm Coles - Utah |
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Quadratic functionals, Jacobi conditions |
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Dependence upon initial conditions |
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Multiple integral problems in the calculus of
variations |
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| 5.2/86-25/16 |
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Items labeled by C. Ahlbrandt IV |
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Sturm-Liouville boundary value problems - Green's
functions |
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Fundamental lemma of the calculus of variations and
its generalizations; Quadratic variational problems |
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Largely matrix equations; General distance spaces and
their polygons |
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Mason's lemma; Energy principle and energy method;
Theorem on conditional stability |
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Notebook (University of Chicago); Notes from books of
A.E. Taylor and L.M. Graves; Geometry notes |
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Notes I - III |
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Notes IV - VI |
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Notes from expandable file I |
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Notes from expandable file II |
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Potential theory; Polynomial approximations of
functions, adjoint systems, quadratic functionals |
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Symmetrizable transformations; Liouville |
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Topology; Notes on multiple integral problems of the
calculus of variations…; Asymptotics |
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Transport theory; Riccati matrix differential
equations; Contraction mapping theorem; E. Hille's Selecta; Theorem on
integration of vector-valued functions; Boundary value problems |
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Typescript and mimeographed items: Vita of Yuan-Yung
Tseng; Unidentified lecture notes and lists of theorems on Radon-Nikodym
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 |
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Personal |
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Curriculum vitae; Newspaper clippings; Quotations;
Certificates and awards; Correspondence concerning UT Fleming collection;
Photographs and sketch |
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Education |
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Notes; Undergraduate mathematics paper |
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Course notes I - III |
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Course notes IV |
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Master's thesis; Doctoral thesis |
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Mimeographed lecture notes |
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Bliss, G.A. Topics of the Calculus of Variations, 1932,
reports and lectures by several persons, Mimeographed and ms notes |
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Bliss, G.A. The Calculus of Variations, Multiple
Integrals, 1933, 1939, with ms notes |
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Carathéodory, C. Second Course in the Theory of
Functions,
1936-37 |
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Courant, R. The Calculus of Variations,
1945-56, 1949-50 |
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Ettlinger, H.J. Notes on Integration,
1934 |
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Friedrichs, K.O. Advanced Ordinary Differential
Equations,
1948-49 |
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Friedrichs, K.O. A Chapter in the Theory of Linear
Operators in Hilbert Space,
1951 |
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Graves, L.M. Introduction to the Theory of Functions,
1934 |
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Hille, E. Fourier Series,
1931 |
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Mayor, W. Calculus of Variations,
1935-36 |
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Morse, M. Analysis in the Large,
1936-37 |
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de Rham, G & K. Kodaira. Harmonic Integrals,
1950 |
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Stone, M.H. Theory of Real Functions,
1940 |
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Szász, O. Selected Topics in Function Theory of a
Complex Variable,
1935 |
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Tamarkin, J.D. On the Theory of Polynomials of
Approximation,
1936 |
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Reprints of Reid's articles |
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Theses of Reid's students and associates |
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Reid's reprint collection |
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