TABLE OF CONTENTS
Descriptive Summary
Scope and Contents
Restrictions
Index Terms
Administrative Information
Description of Series
Series I. Personal
Series II. Professional
Photographs
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A Guide to the I. J. Schoenberg Papers,
1900-1993
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Creator |
Schoenberg, I.
J. |
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Title |
I. J. Schoenberg
Papers |
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Dates: |
1900-1993 |
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Abstract |
Consists of
correspondence, manuscripts of published and unpublished papers and lectures,
research notes, teaching materials, and photographs documenting the career of mathematician
Isaac Jacob Schoenberg. |
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Accession No. |
91-3 |
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Extent |
26 ft. |
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Language |
Materials are written in English,
Russian, French, Dutch, German,
and Romanian. |
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Repository: |
Dolph Briscoe Center for American
History, The University of Texas at
Austin |
Isaac "Iso" Jacob Schoenberg (1903-1990) was born in Galatz, Romania,
and received his Ph.D. from the University of Jassy [Iasi] in Moldavia in 1926.
He came to the United States in 1930 on a Rockefeller fellowship where he
served as a postdoctoral fellow at the University of Chicago and Harvard
University. In 1933 he became a member of the Institute for Advanced Study at
Princeton (1933-1935). His major mathematical teaching posts were at the
University of Pennsylvania (1941-1966) and the University of Wisconsin-Madison
(1966-1973). He was released from work at the University of Pennsylvania from
1943-1945 to work at the Army's Ballistic Research Laboratory in Aberdeen,
Maryland, where he began his work on the theory of splines. Other research
interests of Schoenberg include Pólya frequency functions and cardinal
splines.
Return to the Table of Contents
Consists of correspondence, manuscripts of published and unpublished
papers, lectures, research notes, and teaching materials documenting the career
of mathematician Isaac Jacob Schoenberg. The collection includes correspondence
with a number of notable mathematicians, including Edmund Landau, J.R. Kline,
Paul Erdös, and George Pólya. There are also materials documenting Schoenberg’s
personal and family life, most notably correspondence showing Schoenberg’s
attempts to help family and friends immigrate to Israel and the United States
prior to the outbreak of World War II. Mathematical subject matter includes
research notes, lectures, drafts on analysis, approximation theory, and
splines.
Forms part of the Archives of American Mathematics.
Return to the Table of Contents
Access Restrictions
Unrestricted access.
Use Restrictions
The majority of this collection is stored remotely at CDL. Advance notice
required for retrieval. Please contact reference staff for retrieval.
Return to the Table of Contents
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Subjects (Persons) |
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Erdös, Paul, 1913-1996 |
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Landau, Edmund, 1877-1939 |
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Pólya, George, 1877-1985 |
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Schoenberg, I. J. -- Archives |
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Subjects (Organizations) |
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Institute for Advanced Study
(Princeton, N. J.) |
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University of Pennsylvania. Dept. of
Mathematics |
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University of Wisconsin-Madison.
Mathematics Dept. |
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Subjects |
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Approximation theory |
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Mathematical analysis |
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Mathematics -- Study and teaching --
United States |
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Spline theory |
Return to the Table of Contents
I. J. Schoenberg Papers, 1900-1993, Archives of American Mathematics,
Dolph Briscoe Center for American History, The University of Texas at Austin
Return to the Table of Contents
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Series I. Personal |
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Correspondence |
| Box |
| 91-3/1 |
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Family correspondence, 1934-1972 |
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Publicity, 1938-1962 |
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"Mother's immigration," 1941 |
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"Letters - Dolly," 1950-1969 |
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Affidavit of support, 1953-1954 |
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Family history |
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Poems and a biographical sketch of Schoenberg's
mother, 1917-1974 |
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Charlotte Landau - diploma, 1927 |
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Student notebooks |
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Tesâ la matematicâ,
1913-1914 |
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Gaiet de Matematici, 1919-1920 -
Göttingen - Summersemester, 1925. 1919-1927 |
| Box |
| 91-3/2 |
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Vorlesungen über die Theorie der
Trigonometrischen Reihen, Prof. Edmund Landaû, 1922-1923 |
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Vorlesungen über Zahlentheorie -
Professor Schûr, 1923-1924 |
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Gaiet le matematici [?],
1924 |
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Vorlesungen über Periodische und
Fast-periodische Funktionen von Prof. Harald Bohr, Göttingen,
1928-1929 |
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Vorlesungen über Zahlentheorie -
Professor Schûr [?], Analizâ matematicâ, 1929-1933 |
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Vorlesungen über Zahlentheorie -
Professor Schûr [?], undated |
| Box |
| 4RM55c |
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Diploma - Sigma Xi, 1931 |
| Box |
| 91-3/2 |
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Financial statements and receipts |
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1948-1960 |
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1964-1986 |
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Legal documents, 1976-1983 |
| Box |
| 91-3/3 |
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Artwork |
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The problem of k=2, n=4, 1982 |
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Constructive art, undated |
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Outdoor sculpture, 1983 |
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Series II. Professional |
| box |
| 91-3/3 |
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Correspondence |
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By correspondent |
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A |
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B-Br |
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Bro-By |
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C |
| Box |
| 91-3/4 |
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D |
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E |
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F |
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Ga-Go |
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Go-Gu |
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H-Ha |
| Box |
| 91-3/5 |
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Hai-Hu |
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I |
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I-Yuan, Houng |
| Box |
| 4RM55c |
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Oversized computer printouts, undated |
| Box |
| 91-3.5 |
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K |
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L |
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M-N |
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O-Ph |
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Pi-Pu |
| Box |
| 91-3/6 |
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R |
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Sa-Sh |
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Sho-Sz |
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Schoenberg, I. J. |
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1933-1980 |
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1980-1988 |
| Box |
| 91-3/7 |
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T-U |
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V |
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W |
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Y-Z |
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Unidentified correspondents |
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Duetsch Leon [oversized letter] |
| Box |
| 91-3/7 |
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By subject |
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Landau-Blichfeldt, 1929-1931 |
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Opere, 1932-1940 |
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Letters on Colby College and return to Penn,
1937-1940, 1945 |
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Maine meeting, 1938-1939 |
| Box |
| 91-3/8 |
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Armour, 1940 |
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Referee report, 1940-1942 |
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Philadelphia, 1941 |
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Reprint requests, 1946-1947 |
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Abian, 1959-1962 |
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Number Theory Institute, 1961-1962 |
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Princeton, 1963-1964 |
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Wolfe, Dorothy, 1964 |
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Linkages and geometry, 1968 |
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Madison Jewish Welfare Council, 1970-1972 |
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Northwestern University Regional Conference,
1970-1971 |
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W. Weston Meyer, 1972-1983 |
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May 5th, 1973 [Schoenberg's 70th birthday and
retirement party], 1973 |
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Seng, Lee 1974 |
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Pittsburgh, 1974-1977 |
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On trip, 1974-1975 |
| Box |
| 91-3/9 |
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Journal submissions, 1975 |
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Warsaw, 1975 |
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Ford awards, 1976 |
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Instituto - Roma,
1976-1977 |
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Conferences, 1976-1977 |
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West Point, 1978-1982 |
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B-splines, 1979 |
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Stirling-Schellenbach paper, 1981-1982 |
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Utah, 1981-1982 |
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Book sale, 1981-1987 |
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Book translation [Haimovici], 1982 |
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Schoenberg-Selecta,
1983-1987 |
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Landau books, 1986 |
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Frobenius-Landau correspondence [photocopies],
undated |
| Box |
| 4RM55c |
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Oversized correspondence, 1908, undated |
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Landau C.V., 1901 |
| Box |
| 91-3/9 |
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Research files |
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[Archivist's note: arrangement is based upon
Schoenberg's original organization] |
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Notebooks |
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Theory of functions, Analizâ
mathematicâ, undated |
| Box |
| 91-3/10 |
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Numerical tables, circa 1940s |
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Numerical tables from n4(t) = -∞ ∫ ∞ e^(-x^4) cos (tx) dx, circa 1940s |
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Integration of system, circa 1940s |
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Contribution to the problem of approximation if
equidistant data, 1946 |
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Leasts squares theory, 1944 |
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Air [?] tables, circa 1940s |
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Reading Appell-Laceur - Chapter 2, undated |
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Untitled notes, 1949 |
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Contributions to the problem of approximation of
equidistant data by analytic functions, 1946 |
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Catalog of punch card tables of mathematical
functions, 1945 |
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Untitled notes, circa 1940s |
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Irrationality of e Eo, 1943 |
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Newton square law theory, undated |
| Box |
| 91-3/11 |
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Ballistics of Newton square law of resistance,
undated |
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On the computation of the value of series,
undated |
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Numerical interpolations, 1940-1941 |
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∑ OPi = minimum - Chicago, 1932 |
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Assorted notes, 1931-1932, undated |
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Assorted notes, 1950 |
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"Odd notes," 1932-1934 |
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Paper on the Karl [?], 1956 |
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Isoperimetric inequalities revival, 1954 |
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Ptolemy's inequalities, Hyperconvex functions,
1939 |
| Box |
| 91-3/12 |
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Least squares theory, undated |
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Reviews, undated |
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Extensions of theorems of Descartes and Laguerre to
the complex domains, 1934 |
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Assorted notes, undated |
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A theorem on Fourier-Stieltjes integrals,
1934 |
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Assorted notes, 1932 |
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Notes and drafts, 1935 |
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Moultonboro - Princeton, 1937 |
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Assorted notes, 1933 |
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Convex curves, 1954 |
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Assorted notes, |
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1952 |
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1936-1937 |
| Box |
| 91-3/13 |
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circa 1936 |
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1946 |
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undated |
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Laplace formula in probability of distribution of
error, undated |
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On absolutely convex functions, undated |
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Solving linear equations by relaxation, undated |
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Distribution of arithmetic functions, 1932-1936 |
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Assorted notes, undated |
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Assorted notes, |
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1946-1947 |
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1947, undated |
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1948 |
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HAAR problems in the complex field, 1954 |
| Box |
| 4RM55c |
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Oversized geometric constructions, circa 1954 |
| Box |
| 91-3/13 |
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Generalized spline functions (Alhberg and Nilson),
1947 |
| Box |
| 91-3/14 |
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Differential equations and splines, undated |
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Assorted notes, 1956, undated |
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Notes on continual mapping, undated |
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Pompeii Theorem [?], undated |
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Assorted notes, 1954, undated |
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Assorted notes and tables, undated |
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Assorted notes, 1952 |
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Limits of spline distribution, 1946 |
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On CVD kernals, 1956 |
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On multiply monotone functions and their Laplace
transforms, 1954 |
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Lineal functions, 1951, undated |
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Assorted notes, 1958 |
| Box |
| 91-3/15 |
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Higher order iterates of the smoothing function
[includes some correspondence], 1945-1947 |
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Linear operators vanishing for a certain degree
polynomial, 1938-1953 |
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Smoothing operations and differential equations,
1954 |
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CVD, 1954, undated |
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Totally positive functions, 1946 |
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On Runge's example of polynomial interpolation,
circa 1930s |
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Assorted notes, 1938 |
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Inverses [?] of g(x)= -∞ ∫ ∞ (x-t) f(t) dt,
1946-1948 |
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Assorted notes, 1946 |
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Screw lines in Hilbert space, 1936-1938 |
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On roots of cubii, 1938-1941 |
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Attempt at old Pólya conjecture, 1934 [?], 1938-1939 |
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Assorted notes, 1936-1937 |
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Assorted notes, undated |
| Box |
| 91-3/16 |
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Notes on metric spaces and completely monotone
functions, 1937-1938 |
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Fallout from "Planck" problem, 1942 |
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On Rolle's theorem for continuous
(non-differentiable) functions, undated |
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Assorted notes, 1942, undated |
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Contributions to the theory of series ∑+/- CV,
1938 |
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On Fourier integrals and metric geometry,
1936 |
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Centroids with imaginary masses, 1939 |
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Assorted notes, |
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1937-1941 |
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Undated |
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Polyhedra and quadratic forms, 1946 |
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On metric spaces of constant local Euclidean
dimension, 1939 |
| Box |
| 91-3/17 |
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∫∫ |f(x) ^2|dx dy < [?], 1971 |
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Convexity preserving convolutions, 1959-1976 |
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Approximations of lineal polynomials (Motzkin),
1951-1955 |
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Extremum problems: variations; Bernstein's inequality, 1976 |
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Masses in H, 1955 |
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On unitary transformation and screw lines,
1956 |
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Differential equations, 1948-1951 |
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Assorted notes, 1951 |
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Relaxation, 1951, undated |
| Box |
| 91-3/18 |
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Q-cardinal interpolation, 1974-1980 |
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Assorted notes, 1952-1955 |
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Notes on convex domains, 1933-1947 |
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Quadrature formula obtained by partial integration,
1945, undated |
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Quadrature formula and spline interpolation,
1957, undated |
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Approximations, undated |
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Deriving quadrature from Sterling interpolation,
1944 |
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Mechanical quadratures, undated |
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Spline quadratures, 1957, undated |
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Metric spaces, 1928-1940 |
| Box |
| 91-3/19 |
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Hyperconvexity, 1939-1940 |
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Menger's theorems, 1938 |
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Assorted notes, 1957 |
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Mapping, 1960 |
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"Mixed notes having to do with a,b = ½,"
1962 |
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Assorted notes, 1955 |
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Theory of Approximations, 1950 |
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Problems on f (x) = x1 ∫ x dx x1 ∫ x2 x1 ∫ x-1 dx,
undated |
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Strengthening of Gauss-Lucas, 1941 |
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Assorted notes, undated |
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[?] Theorem and related problems, undated |
| Box |
| 91-3/20 |
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Zeroes of multiple positive segments, 1954 |
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Frejér problems, 1956 |
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Convexity preserving kernals, 1936, undated |
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New proof for Marihhaber [?] theorem, 1960 |
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On a Pólya conjecture on f (x) = ∑ |u=0, f^(u) (y (u)), 1941 |
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P.d. functions on spheres with variable radii,
1938-1940 |
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Bernoulli problems, undated |
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D {sin S2}, 1939-1941 |
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An attempt at improving the Denjoy-Carleman theorem,
1941-1942 |
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Connected with [?] by splines, undated |
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Upper periodic functions, 1938-1939 |
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Hungarian problems, undated |
| Box |
| 4RM55c |
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Oversized tables and graphs, undated |
| Box |
| 91-3/20 |
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Erdös conjecture, 1957 |
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Polish problems, 1946, undated |
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Additive integral functions, 1955-1958 |
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Monthly paper on f (x) = 0, if x is irrational, q if
x = k/q, 1956-1958 |
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Menger curvature problems, 1954-1955 |
| Box |
| 91-3/21 |
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Assorted notes, 1955 |
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Theory of Approximations, 1959 |
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Stirling-Schellenbach interpolations, 1943, undated |
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On zeroes of polynomials with k-times positive
coefficients, 1953-1954 |
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Assorted notes, 1963 |
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Notes for Sterling-Romberg, 1980, undated |
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Assorted notes, undated |
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The Sterling-Schellenbach series transformation,
1961 |
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Important notes for Sterling-Schellenbach,
undated |
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Notes on the Sterling-Schellenbach method,
1943, undated |
| Box |
| 91-3/22 |
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Jackson constant in best approximation theory,
1953-1954 |
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Sterling-Schellenbach, 1944-1967 |
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Optimal quadratures, 1969-1985 |
|
|
|
|
|
Assorted notes, 1957 |
|
|
|
|
|
Gauss computataions, 1977 |
|
|
|
|
|
Papers on Laplace transformations, 1950 |
|
|
|
|
|
Assorted notes, |
|
|
|
|
|
|
1951, undated |
|
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|
|
|
|
1946-1958 |
|
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|
|
|
|
1951 |
|
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|
|
1973, undated |
|
|
|
|
|
Cyclic variations, 1948-1950 |
| Box |
| 91-3/23 |
|
|
|
|
Two-dimensional chromos, 1978 |
|
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|
|
|
Besicovitch constant Bn, 1962-1983 |
|
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|
|
|
Netanyahu's problem, 1969-1985 |
|
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|
|
|
Remarks to a paper by P. Bateman, 1962 |
|
|
|
|
|
Galatea, 1970 |
|
|
|
|
|
Continuous continued functions, 1959 |
|
|
|
|
|
Convex functions, 1941 |
|
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|
|
Solving linear equations, 1952 |
|
|
|
|
|
Absolutely convex function, 1942 |
|
|
|
|
|
(N+1) times monotone functions, 1941 |
|
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|
|
|
Rational C.M. functions, 1941 |
|
|
|
|
|
An application of Schwartz's lemma, 1942 |
|
|
|
|
|
Bieberbach nonsense, 1941 |
|
|
|
|
|
Assorted notes, |
|
|
|
|
|
|
Undated |
|
|
|
|
|
|
1947 |
|
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|
|
|
Real variables, 1956 |
|
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|
|
|
The Haar problem, undated |
|
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|
|
|
Screw lines in H, 1954 |
|
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|
|
Problem, 1938-1940 |
|
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|
|
Functions on spheres, 1938-1940 |
|
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|
|
Real and complex [?], 1960 |
|
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|
|
Assorted notes, 1960, undated |
|
|
|
|
|
The Haar papers, 1957 |
|
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|
|
|
Laplace transforms, 1939-1948 |
|
|
|
|
|
Totally positive symmetric matrices: a
generalization of the Stieltjes problem, 1956 |
|
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|
|
|
Operation "Sea Serpent" [I], 1956 |
|
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|
|
|
Operation "Sea Serpent" [II], 1933-1954 |
|
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|
|
L'Affaire Sigeiti
Moriguti, 1954-1956 |
|
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|
|
Big cube problem, 1961-1976 |
| Box |
| 4RM55c |
|
|
|
|
Geometric constructions, undated |
| Box |
| 91-3/24 |
|
|
|
|
Conditionally convergent series of analytic [?],
1960 |
|
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|
|
|
Zentralblatt,
1936-1937 |
| Box |
| 91-3/25 |
|
|
|
|
Runcheweyh letter, 1983 |
|
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|
|
|
Notebook, undated |
|
|
|
|
|
Tables for equidistant spline interpolation,
1966-1971 |
|
|
|
|
|
Bivariate interpolation, 1972 |
|
|
|
|
|
Octahedron in E4, 1969 |
|
|
|
|
|
The Blumenthal theorem, 1970 |
|
|
|
|
|
The fundamental functions for cardinal spline
interpolation for the degrees n=2, 3, 4, 5, 1971 |
|
|
|
|
|
A small tract on cubic spline interpolation,
1970-1971 |
|
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|
|
The technique of equidistant spline interpolation,
1970-1971 |
|
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|
|
Assorted notes, 1953 |
|
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|
|
Navy reports, 1949-1951 |
|
|
|
|
|
Bilharz – Steffensen –Thiboux – Haar, 1954-1955 |
|
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|
|
Chromos problem, 1974 |
|
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|
|
Splines, 1971-1972 |
| Box |
| 91-3/26 |
|
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|
|
Study of class P2, 1965 |
|
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|
|
Simply connected sets of lines of 0 < mS < ∞,
undated |
|
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|
|
|
Assorted notes, 1949 |
|
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|
|
|
The discrete problem, 1947 |
|
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|
|
On totally positive distribution functions,
1946-1947 |
|
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|
|
|
Assorted notes, 1949-1951 |
|
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|
|
N-chrome, 1962, undated |
|
|
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|
|
Pisot paper—notes, 1963 |
| Box |
| 4RM55c |
|
|
|
|
Oversized notes, undated |
| Box |
| 91-3/26 |
|
|
|
|
Color problem, 1962-1974 |
| Box |
| 91-3/27 |
|
|
|
|
Hilbert transform, 1973-1976 |
|
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|
|
Circle splines I, 1975, undated |
|
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|
|
Circle splines II, 1976 |
|
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|
|
A new Insterman [?] problem, 1954 |
|
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|
|
Assorted notes, undated |
|
|
|
|
|
Dahmer [?], 1981 |
|
|
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|
|
Several variables, 1959, undated |
|
|
|
|
|
Assorted notes I-II, 1951-1960, undated |
| Box |
| 91-3/28 |
|
|
|
|
Le Stang-Naarden, 1956-1957 |
|
|
|
|
|
Assorted notes, 1946-1961 |
|
|
|
|
|
Unclassified problems, 1954-1965 |
|
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|
|
|
Assorted notes, 1986 |
|
|
|
|
|
Slide rule, mod 100, 1971-1986 |
|
|
|
|
|
Final report on the project no. N6 onr-24912,
undated |
|
|
|
|
|
On variation-diminishing transformations,
1948 and undated |
|
|
|
|
|
Assorted notes, 1948, undated |
| Box |
| 91-3/29 |
|
|
|
|
Assorted notes, 1980, undated |
|
|
|
|
|
Bernie extensions, 1967 |
|
|
|
|
|
Reprints for Sterling—Schellenbach, 1962-1980 |
|
|
|
|
|
Assorted notes, undated |
|
|
|
|
|
Averages, undated |
| Box |
| 4RM55c |
|
|
|
|
Gauss computations—UNIVAC printouts, 1977 |
|
|
|
Writings |
|
|
|
|
Drafts |
| Box |
| 91-3/29 |
|
|
|
|
“Davy Jones’ Locker”—unpublished writings,
1932, undated |
| Box |
| 4RM55c |
|
|
|
|
Galley proof, “A Remark on the preceding note by
Bochner,” circa 1934 |
| Box |
| 91-3/29 |
|
|
|
|
Geodesic triangles, 1934 |
|
|
|
|
|
Favard, 1937-1971 |
|
|
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|
|
Local convexity in Euclidean spaces, 1937 |
|
|
|
|
|
Finished papers, 1938-1946 |
| Box |
| 91-3/30 |
|
|
|
|
Review of Mathematical Snapshots, 1939 |
| Box |
| 4RM55c |
|
|
|
|
Oversized galley proofs, undated |
| Box |
| 91-3/30 |
|
|
|
|
Runge paper, 1943-1962 |
|
|
|
|
|
An iteration method for computation with Laurent
series, 1945 |
|
|
|
|
|
A theorem on polygons in n dimensions with
applications to variation-diminishing and cyclic variation- diminishing linear
transformations, 1945-1947 |
|
|
|
|
|
Assorted notes, 1946-1979 |
|
|
|
|
|
Manuscript on totally positive functions,
1946 |
|
|
|
|
|
On Pólya frequency functions III: the positivity of
a class of determinants and applications, 1947-1952 |
|
|
|
|
|
On spline distributions and their limits: The Pólya
distribution functions, 1947-1948 |
|
|
|
|
|
Helly’s theorem of convex domains, 1948 |
| Box |
| 91-3/31 |
|
|
|
|
Navy reports, 1948-1950 |
|
|
|
|
|
Iterates of cyclic transformations, 1948-1949 |
|
|
|
|
|
On the positivity of translation determinants for
Pólya frequency with an application to the interpolation problem by spline
curves, 1949 |
|
|
|
|
|
Isoperimetric inequalities, 1951 |
|
|
|
|
|
Memorial to John Robert Kline, circa 1955 |
|
|
|
|
|
Some extremal problems for positive definite
sequences and related extremal convex conformal maps of the circle,
1957 |
|
|
|
|
|
On variation diminishing transformations on the
circle, 1957-1959 |
|
|
|
|
|
Some polynomial extremal problems and mechanical
quadratures, 1958 |
|
|
|
|
|
On the variation of diminishing approximation
methods, 1958 |
|
|
|
|
|
Some polynomial extremal problems and mechanical
quadratures, 1958 |
|
|
|
|
|
A new explicit V.D. approximations, 1959-1982 |
|
|
|
|
|
Rising curves of vanishing slopes, 1958-1959 |
|
|
|
|
|
An extremum problem for polynomials, 1959 |
| Box |
| 91-3/32 |
|
|
|
|
Lattice points— Columbia, 1960 |
|
|
|
|
|
On the unicity of solutions of problems of best
approximation, 1960 |
|
|
|
|
|
Kakeya’s problem, 1961-1973 |
|
|
|
|
|
Pisot paper, circa 1961-1962 |
|
|
|
|
|
Pisot paper, 1963 |
|
|
|
|
|
Irregularities of billiard ball motions,
1963-1974 |
|
|
|
|
|
Amsterdam paper, 1965, undated |
|
|
|
|
|
Spline functions and variation diminishing
approximation methods, 1965-1966 |
| Box |
| 91-3/33 |
|
|
|
|
Hermite interpolation, 1967-1985 |
|
|
|
|
|
Totally positive functions, Edmonston, Alberta,
1968 |
|
|
|
|
|
Does Blumenthal’s theorem generalize?, 1969 |
|
|
|
|
|
Favard—Pittsburgh, 1970 |
|
|
|
|
|
Interpolating splines as limits of polynomials,
1970-1983 |
|
|
|
|
|
Two applications of approximate differentiation
formulae, 1970-1982 |
|
|
|
|
|
Approximating lengths, areas, and volumes,
1970-1978 |
|
|
|
|
|
Metric geometry—Askey conjecture, 1971 |
|
|
|
|
|
Splines and histograms, 1971-1972 |
|
|
|
|
|
Pick in R3, 1972 |
|
|
|
|
|
Hausdorff moment problem solved in L2, 1972-1973 |
|
|
|
|
|
Notes on spline functions II. On the smoothing of
histograms, 1972 |
|
|
|
|
|
Splines and the logarithmic function, 1974-1975 |
|
|
|
|
|
On Charles Micchelli’s theory of cardinal L-splines,
1974, undated |
|
|
|
|
|
Bryn Mawr, 1974-1975 |
|
|
|
|
|
On Chebyshev and Markov-type problems for
polynomials in a circular ring, 1975-1977 |
| Box |
| 91-3/34 |
|
|
|
|
The Landau problem for motions in a ring,
1975 |
|
|
|
|
|
Rome paper, 1976-1977 |
|
|
|
|
|
Cardinal smoothing splines, 1976 |
|
|
|
|
|
Lexington conference, 1976 |
|
|
|
|
|
The Landau problem for motions on a curve,
1976 |
|
|
|
|
|
On the matrix approach to the Fibonacci numbers an
the Fibonacci pseudoprimes, 1976-1981 |
| Box |
| 4RM55c |
|
|
|
|
Oversized numerical tables, undated |
| Box |
| 91-3/34 |
|
|
|
|
On a problem of Steinhaus on lattice points,
1977-1978 |
|
|
|
|
|
Stella octangula, 1978-1981 |
|
|
|
|
|
Extremum problems for the motions of a billiard
ball, 1978 |
| Box |
| 91-3/35 |
|
|
|
|
N-chromos [?] in R^k, 1978 |
|
|
|
|
|
The finite Fourier series II. The graphical harmonic
analysis of skew polygons as a source of outdoor sculptures, 1979-1983 |
|
|
|
|
|
Computation of finite Landau- [?] motion in the
parabola y= ½ x^2, 1980 |
| Box |
| 4RM55c |
|
|
|
|
Oversized computer printouts, 1980 |
| Box |
| 91-3/35 |
|
|
|
|
The Landau problem for motions on curves and time-
optimal control problems, 1980 |
|
|
|
|
|
Mathematical Time
Exposures, 1980-1984 |
|
|
|
|
|
A direct derivation of Jacobian identity from an
elliptic functions, 1980-1981 |
|
|
|
|
|
Hausdorff’s moment problem and expansions in
Legendre polynomials, 1980 |
|
|
|
|
|
The Landau problem III, 1980 |
|
|
|
|
|
On polynomial interpolation at the points of a
geometric progression, 1980-1981 |
| Box |
| 4RM55c |
|
|
|
|
Oversized computer printouts, 1980 |
| Box |
| 91-3/35 |
|
|
|
|
A new approach to Euler splines, 1981-1993 |
| Box |
| 91-3/36 |
|
|
|
|
High-order continuity implies good approximation
solutions of certain functional equations I, 1982-1985 |
|
|
|
|
|
The paper on R4, 1982 |
|
|
|
|
|
The behavior of the exponential Euler spline Sn (x;
t) as n ∞ negative values for base t, 1982 |
|
|
|
|
|
On the equidecomposibility of a regular triangle and
a square of equal areas, 1983-1985 |
|
|
|
|
|
A direct approach to the Villaceau circles of a
torus, 1983 |
|
|
|
|
|
Euler’s contribution to cardinal spline
interpolation: the exponented Euler spline, 1983 |
|
|
|
|
|
On the Gauss-Lucas radius of a polynomial,
1984-1985 |
|
|
|
|
|
On the anti-cylinder, 1985 |
|
|
|
|
|
On the Turning Lozange of constant side whose
vertices alternate between two circles of a ring, 1985 |
|
|
|
|
|
Miscellanea. Music and science, 1985 |
|
|
|
|
|
A proof of Grace’s theorem by induction,
1985 |
|
|
|
|
|
The Chinese remainder problem and polynomial
interpolation, 1986 |
|
|
|
|
|
Final paper for Stirling-Schellenbach, undated |
|
|
|
|
|
Extremum problems for the multi-dimensional case of
König and Szücs of billiard ball motions, undated |
| Box |
| 91-3/37 |
|
|
|
|
A conjectured analogue of Rolle’s theorem for
polynomials with real or complex coefficients, undated |
|
|
|
|
|
Notes on spline functions, undated |
|
|
|
|
|
On the anti-cylinder, undated |
|
|
|
|
|
Monosplines and quadrature formulae, undated |
|
|
|
|
|
Splines and histograms, undated |
| Box |
| 4RM55c |
|
|
|
|
The π o approximation for Bulgarian mothers,
undated |
| Box |
| 91-3/37 |
|
|
|
|
The Landau problem for the differential operator D^2
– X^2, undated |
|
|
|
|
Monthly problems |
|
|
|
|
|
American Mathematical
Monthly problems |
|
|
|
|
|
|
1960-1964 |
|
|
|
|
|
|
1976-1981 |
|
|
|
|
|
Assorted |
|
|
|
|
|
|
1967-1975 |
|
|
|
|
|
|
1967-1984 |
|
|
|
|
|
|
1974-1981 |
|
|
|
|
|
|
1975-1981 |
|
|
|
|
|
|
1981-1982 |
| Box |
| 91-3/38 |
|
|
|
|
Calgary, Edmonton, 1967-1975 |
|
|
|
|
|
Are there reciprocal orthogonal polynomials,
1970- 1982 |
|
|
|
|
|
A problem from F. Richards, 1973-1983 |
|
|
|
|
|
Advanced problems for AMM, 1979-1984 |
|
|
|
|
|
A new problem for “Nieum archief voor Wiskunde,”
1980-1981 |
|
|
|
|
|
A problem for new Eindhoven, 1981 |
|
|
|
|
|
Problem E 3005, 1983 |
|
|
|
|
|
The Graham-Knuth problem, 1983 |
|
|
|
|
|
The Tsintifas problem, 1983 |
|
|
|
|
|
Problems on Appell sequences, 1984-1985 |
|
|
|
|
|
Problems from proseminar, 1985 |
|
|
|
|
|
Problem 6488, undated |
|
|
|
|
|
Reprints |
|
|
|
|
|
|
1939-1976 |
|
|
|
|
|
|
1980-1986 |
|
|
|
Teaching notes |
|
|
|
|
T-determinants and combinatorial analysis,
1934-1946 |
| Box |
| 91-3/39 |
|
|
|
Courant problems, 1934-1936 |
|
|
|
|
Problem seminar, 1935-1939 |
|
|
|
|
Math 601, 1938-1957 |
|
|
|
|
Non-technical mathematics, 1939-1942 |
|
|
|
|
Honors exams, 1939-1949 |
|
|
|
|
Number theory, Colby College, circa 1930s |
| Box |
| 4RM201 |
|
|
|
Non-Tech Math 1a [restricted], 1939-1940 |
| Box |
| 91-3/39 |
|
|
|
Courant problems, 1940, undated |
|
|
|
|
Complex variables, 1941 |
|
|
|
|
Problems for seminar, 1941-1947 |
|
|
|
|
Theory of functions, 1941-1942 |
| Box |
| 91-3/40 |
|
|
|
Complex variables, 1942 |
|
|
|
|
Special topics, 1942-1945, undated |
|
|
|
|
Special topics in the theory of functions,
1942-1943 |
|
|
|
|
Proseminar |
|
|
|
|
|
1942 |
|
|
|
|
|
1942-1943 |
|
|
|
|
|
1946 |
|
|
|
|
|
1946-1947 |
|
|
|
|
|
1946-1947 |
|
|
|
|
Theory of functions, 1946-1947 |
|
|
|
|
Theory of functions, 1946-1947 |
| Box |
| 91-3/41 |
|
|
|
Math 600, 1946-1948 |
| Box |
| 4RM201 |
|
|
|
Math 630 Theory of Functions [restricted], 1946-1947 |
| Box |
| 91-3/41 |
|
|
|
Notebook on a course in finite differences,
probabilities, and statistics, 1946-1947 |
|
|
|
|
Proseminar, 1946-1948 |
|
|
|
|
Notes on a course, 1946-1947 |
|
|
|
|
Assorted notes, 1947-1951 |
|
|
|
|
Laplace transforms, 1947 |
|
|
|
|
Laplace transforms - Math 663, 1947-1948 |
|
|
|
|
Laplace transforms vol. I, 1947-1948 |
|
|
|
|
Laplace transforms vol. II, 1947-1948 |
|
|
|
|
Laplace transforms vol. III, 1947-1951 |
|
|
|
|
Partial differential equations of physics and
engineering - Stanford, 1948 |
|
|
|
|
Proseminar, 1948 |
| Box |
| 4RM201 |
|
|
|
Math 131, Advanced Calculus II [restricted], 1948-1949 |
| Box |
| 91-3/42 |
|
|
|
Advanced calculus, 1949 |
|
|
|
|
Functions of a real variable, 1949-1950, 1956 |
|
|
|
|
Laplace transforms—Fourier integrals, 1950-1951 |
|
|
|
|
Assorted problems, 1950-1961 |
|
|
|
|
Partial differential equations—UCLA, 1951 |
|
|
|
|
Real variables I, 1952-1953; 1962-1963 |
| Box |
| 4RM201 |
|
|
|
Real Variables II [restricted], 1952-1953 |
| Box |
| 91-3/42 |
|
|
|
Functions of real variables, 1952-1953 |
| Box |
| 4RM201 |
|
|
|
Math 231 [restricted], 1954 |
| Box |
| 91-3/43 |
|
|
|
Problem seminar, 1954-1960 |
|
|
|
|
Linear transformations in Hilbert space, 1955-1956 |
|
|
|
|
Divergent series, 1957 |
|
|
|
|
Laplace transforms, 1957-1958 |
|
|
|
|
Real variables, 1957-1958 |
|
|
|
|
Besicovitch seminar, 1958-1959 |
|
|
|
|
Proseminar, 1958-1959 |
| Box |
| 91-3/44 |
|
|
|
Analysis seminar, Stanford-La Jolla, 1959-1968 |
|
|
|
|
Problems of moments, 1959 |
|
|
|
|
Proseminar, 1959-1960 |
|
|
|
|
Number Theory, Summer Institute, University of South
Carolina, 1960 |
|
|
|
|
Proseminar, 1960-1961 |
|
|
|
|
Pisot, 1961-1962 |
|
|
|
|
Erdös’ theorem ∫ (mn) = f(m) + f(n), 1961 |
|
|
|
|
Real variables II, 1962-1963 |
|
|
|
|
Math 320, 1962-1963 |
|
|
|
|
Numerical analysis, 1966, undated |
|
|
|
|
Convexity course, 1967 |
| Box |
| 91-3/45 |
|
|
|
UW mathematics 115, elementary course, 1971 |
|
|
|
|
Number theory - Math 488, 1977 |
|
|
|
|
Number Theory - U.S. Military Academy - West Point,
1978 |
|
|
|
|
Courant F.L. paper, undated |
|
|
|
|
Convexity course, undated |
|
|
|
|
Complex variables, undated |
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Non-technical assignments, undated |
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Seminar problems, undated |
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Seminar problems, undated |
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Special topics, undated |
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Math 130, solution to problems, undated |
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Complex variables, undated |
|
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|
Lectures by Schoenberg |
|
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|
Probability, 1938-1939 |
|
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|
|
On smoothing interpolation with special reference to
punched card computing methods, 1945 |
| Box |
| 91-3/46 |
|
|
|
Partial differential equations - National Bureau of
Standards, 1951 |
|
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|
Cal Tech, 1957 |
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|
Number theory, 1959-1960 |
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|
Notes for a lecture, 1961 |
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Clay [?], 1963-1967 |
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|
Swarthmore, 1964-1966 |
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Splines and histograms, 1964-1972 |
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|
Report on the International Congress of
Mathematicians—Moscow, 1966 |
|
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|
|
Landau problem lecture [0, +∞], 1970 |
|
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|
|
On quadrature formulae of Chebyshev and Gauss which
are optimal in the series [?] by Sand, 1976-1985 |
| Box |
| 91/47 |
|
|
|
Rome, undated |
|
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|
Lectures by others |
|
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|
|
Karlin, S. “Integral equations and total [?]
stochastic processes,” 1956-1957 |
|
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|
Loewner, Charles |
|
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|
|
“Advanced matrix theory,” 1957 |
|
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|
|
“On generation of monotonic transformations of
higher order by infinitesimal transformations,” 1962 |
|
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|
|
“On semigroups in analysis and geometry,”
1962 |
|
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|
|
Loewner, K., “Theory of matrices,” 1956-1957 |
|
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|
Number Theory Institute I, 1961 |
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|
Number Theory institute II, 1961-1962 |
|
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|
|
Number Theory Institute III, 1961-1962 |
| Box |
| 91-3/48 |
|
|
|
Pólya, George, “Notes on aspects of calculus,”
1955 |
|
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|
|
Wielandt, H., “Topics in analytic theory of matrices,”
1967 |
|
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|
|
Weyl, Herman, “Continuous groups,” 1933-1934 |
|
|
|
Writings by others |
|
|
|
|
Alsina, James, “The Peano curve of Schoenberg is
nowhere differentiable,” 1980 |
|
|
|
|
Cavaretta, Alfred |
|
|
|
|
|
“An elementary proof of Kolmogorov’s theorem,”
undated |
|
|
|
|
|
“A theorem of Bernstein type for periodic spline
functions,” undated |
|
|
|
|
|
“On cardinal perfect splines of least sup normal on
the real axis [three copies],” 1970 |
|
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|
|
|
“Oscillatory and zero properties for perfect splines
and monosplines,” undated |
|
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|
|
Gabai, Hyman, “Mathematical implications and other
poems,” undated |
|
|
|
|
Goodman, A.W., “Notes on the Iliev-Sendov problem,”
undated |
|
|
|
|
Greville, T.N.E., "The spline interpolation of
sequences satisfying a linear recurrence relation," undated |
|
|
|
|
Gurney, Ronald, “Selected extracts from some of the
letters sent to Natalie Gurney by personal friend and scientific colleagues of
her husband, Ronald W. Gurney, --after his sudden death in New York, --April
14, 1953, undated |
|
|
|
|
Istratescu, Vaile Ion, “On a conjecture concerning the
zeroes of polynomials,” undated |
|
|
|
|
I-Yuan, Houng, “On the degree of convergence of best
least square approximation by spline functions,” 1972-1973 |
|
|
|
|
Marsden, Martin |
|
|
|
|
|
“Operator bounds and error bounds for quadratic
spline interpolation,” undated |
|
|
|
|
|
“A proposal for the support of a project entitled
approximation theory and functional analysis,” undated |
|
|
|
|
Miller, Michael J., “On Ilief’s conjecture and the
geometry of polynomials,” 1984 |
| Box |
| 91-3/49 |
|
|
|
Newman, D.J., “Some remarks on the convergence of
cardinal splines,” undated |
|
|
|
|
Reddy, T. Ram, “A study of certain subclasses of
univalent analytic functions,” 1983 |
|
|
|
|
Riemenscheider, S.D |
|
|
|
|
|
“Convergence of interpolating cardinal splines:
power growth,” undated |
|
|
|
|
|
“Convergence results for cardinal hermite splines,”
1976 |
|
|
|
|
Schur, I., “On algebraic equations whose roots possess
only negative real parts,” 1921 |
|
|
|
|
Tzimbalario, Jean |
|
|
|
|
|
"Rational approximation to xª," undated |
|
|
|
|
|
Lebesgue constants for cardinal L-spline
interpolation, undated |
|
|
|
|
Wall, Charles, “Density bounds for Jordan’s totient,”
1971-1972 |
|
|
|
|
Wang, A.H. and R.L. Klein, “A numerical method to
obtain optimal quadrature formulas,” 1977 |
|
|
|
|
Weinert, Howard and Gursharan Sidhu, “A stochastic
framework for recursive computation of spline functions—part I: interpolating
splines,” undated |
|
|
|
|
Wolfe, Dorothy, “A minimal point of a finite metric
set,” undated |
|
|
|
Reprints |
|
|
|
|
Al-Co, 1943-1979 |
|
|
|
|
Cu-Kl, 1900-1976 |
|
|
|
|
Kr-Meir, 1906-1980 |
|
|
|
|
Meir-Sagan, 1939-1986 |
| Box |
| 91-3/50 |
|
|
|
Sharma-Van, 1924-1976 |
Return to the Table of Contents
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| |
| box |
| 3W111 |
|
Photographs |
|
|
|
Family photographs, circa 1938 |
|
|
|
Luny and Jolanthe, Haifa, 1952 |
|
|
|
Symposium on inequalities, 1965 |
|
|
|
Sharma, Tim Goodman, and S. L. Lee, 1986 |
|
|
|
West Point [?], undated |
|
|
|
Trip to the zoo, undated |
|
|
|
Michigan State University mathematics department, undated |
|
|
|
Unidentified photographs, undated |
Return to the Table of Contents
|
