urn:taro:utexas.cah.00211 A Guide to the I. J. Schoenberg Papers, 1900-1993 Text converted and initial EAD tagging done by Kristy Sorensen on July 8, 2003 EAD finding aid update by Carol Mead January 30, 2008 Finding aid written in English. Tue Jul 22 15:29:16 CDT 2003 urn:taro:utexas.cah.00211 converted from EAD 1.0 to 2002 by v1to02.xsl (20030505). Descriptive Summary Schoenberg, I. J. I. J. Schoenberg Papers 1900-1993 91-3 26 ft. Dolph Briscoe Center for American History, The University of Texas at Austin Consists of correspondence, manuscripts of published and unpublished papers and lectures, research notes, teaching materials, and photographs documenting the career of mathematician Isaac Jacob Schoenberg. Materials are written in English, Russian, French, Dutch, German, and Romanian. Biographical Note

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.

Scope and 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Consists of correspondence, manuscripts of published and unpublished papers, lectures, research notes, and teaching materials documenting the career of mathematician Isaac Jacob Schoenberg.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.

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Unrestricted access.

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Preferred Citation

I. J. Schoenberg Papers, 1900-1993, Archives of American Mathematics, Dolph Briscoe Center for American History, The University of Texas at Austin

Index Terms Subjects (Persons) Erdös, Paul, 1913-1996 Landau, Edmund, 1877-1939 Pólya, George, 1877-1985 Schoenberg, I. J. -- Archives Subjects (Organizations) Institute for Advanced Study (Princeton, N. J.) University of Pennsylvania. Dept. of Mathematics University of Wisconsin-Madison. Mathematics Dept. Subjects Approximation theory Mathematical analysis Mathematics -- Study and teaching -- United States Spline theory Detailed Description of the Collection Series I. Personal Correspondence 91-3/1 Family correspondence, 1934-1972 Publicity, 1938-1962 "Mother's immigration," 1941 "Letters - Dolly," 1950-1969 Affidavit of support, 1953-1954 Family history Poems and a biographical sketch of Schoenberg's mother, 1917-1974 Charlotte Landau - diploma, 1927 Student notebooks Tesâ la matematicâ, 1913-1914 Gaiet de Matematici, 1919-1920 - Göttingen - Summersemester, 1925. 1919-1927 91-3/2 Vorlesungen über die Theorie der Trigonometrischen Reihen, Prof. Edmund Landaû, 1922-1923 Vorlesungen über Zahlentheorie - Professor Schûr, 1923-1924 Gaiet le matematici [?], 1924 Vorlesungen über Periodische und Fast-periodische Funktionen von Prof. Harald Bohr, Göttingen, 1928-1929 Vorlesungen über Zahlentheorie - Professor Schûr [?], Analizâ matematicâ, 1929-1933 Vorlesungen über Zahlentheorie - Professor Schûr [?], undated 4RM55c Diploma - Sigma Xi, 1931 91-3/2 Financial statements and receipts 1948-1960 1964-1986 Legal documents, 1976-1983 91-3/3 Artwork The problem of k=2, n=4, 1982 Constructive art, undated Outdoor sculpture, 1983 Series II. Professional 91-3/3 Correspondence By correspondent A B-Br Bro-By C 91-3/4 D E F Ga-Go Go-Gu H-Ha 91-3/5 Hai-Hu I I-Yuan, Houng 4RM55c Oversized computer printouts, undated 91-3.5 K L M-N O-Ph Pi-Pu 91-3/6 R Sa-Sh Sho-Sz Schoenberg, I. J. 1933-1980 1980-1988 91-3/7 T-U V W Y-Z Unidentified correspondents Duetsch Leon [oversized letter] 91-3/7 By subject Landau-Blichfeldt, 1929-1931 Opere, 1932-1940 Letters on Colby College and return to Penn, 1937-1940, 1945 Maine meeting, 1938-1939 91-3/8 Armour, 1940 Referee report, 1940-1942 Philadelphia, 1941 Reprint requests, 1946-1947 Abian, 1959-1962 Number Theory Institute, 1961-1962 Princeton, 1963-1964 Wolfe, Dorothy, 1964 Linkages and geometry, 1968 Madison Jewish Welfare Council, 1970-1972 Northwestern University Regional Conference, 1970-1971 W. Weston Meyer, 1972-1983 May 5th, 1973 [Schoenberg's 70th birthday and retirement party], 1973 Seng, Lee 1974 Pittsburgh, 1974-1977 On trip, 1974-1975 91-3/9 Journal submissions, 1975 Warsaw, 1975 Ford awards, 1976 Instituto - Roma, 1976-1977 Conferences, 1976-1977 West Point, 1978-1982 B-splines, 1979 Stirling-Schellenbach paper, 1981-1982 Utah, 1981-1982 Book sale, 1981-1987 Book translation [Haimovici], 1982 Schoenberg-Selecta, 1983-1987 Landau books, 1986 Frobenius-Landau correspondence [photocopies], undated 4RM55c Oversized correspondence, 1908, undated Landau C.V., 1901 91-3/9 Research files [Archivist's note: arrangement is based upon Schoenberg's original organization] Notebooks Theory of functions, Analizâ mathematicâ, undated 91-3/10 Numerical tables, circa 1940s Numerical tables from n4(t) = -∞ ∫ ∞ e^(-x^4) cos (tx) dx, circa 1940s Integration of system, circa 1940s Contribution to the problem of approximation if equidistant data, 1946 Leasts squares theory, 1944 Air [?] tables, circa 1940s Reading Appell-Laceur - Chapter 2, undated Untitled notes, 1949 Contributions to the problem of approximation of equidistant data by analytic functions, 1946 Catalog of punch card tables of mathematical functions, 1945 Untitled notes, circa 1940s Irrationality of e Eo, 1943 Newton square law theory, undated 91-3/11 Ballistics of Newton square law of resistance, undated On the computation of the value of series, undated Numerical interpolations, 1940-1941 ∑ OPi = minimum - Chicago, 1932 Assorted notes, 1931-1932, undated Assorted notes, 1950 "Odd notes," 1932-1934 Paper on the Karl [?], 1956 Isoperimetric inequalities revival, 1954 Ptolemy's inequalities, Hyperconvex functions, 1939 91-3/12 Least squares theory, undated Reviews, undated Extensions of theorems of Descartes and Laguerre to the complex domains, 1934 Assorted notes, undated A theorem on Fourier-Stieltjes integrals, 1934 Assorted notes, 1932 Notes and drafts, 1935 Moultonboro - Princeton, 1937 Assorted notes, 1933 Convex curves, 1954 Assorted notes, 1952 1936-1937 91-3/13 circa 1936 1946 undated Laplace formula in probability of distribution of error, undated On absolutely convex functions, undated Solving linear equations by relaxation, undated Distribution of arithmetic functions, 1932-1936 Assorted notes, undated Assorted notes, 1946-1947 1947, undated 1948 HAAR problems in the complex field, 1954 4RM55c Oversized geometric constructions, circa 1954 91-3/13 Generalized spline functions (Alhberg and Nilson), 1947 91-3/14 Differential equations and splines, undated Assorted notes, 1956, undated Notes on continual mapping, undated Pompeii Theorem [?], undated Assorted notes, 1954, undated Assorted notes and tables, undated Assorted notes, 1952 Limits of spline distribution, 1946 On CVD kernals, 1956 On multiply monotone functions and their Laplace transforms, 1954 Lineal functions, 1951, undated Assorted notes, 1958 91-3/15 Higher order iterates of the smoothing function [includes some correspondence], 1945-1947 Linear operators vanishing for a certain degree polynomial, 1938-1953 Smoothing operations and differential equations, 1954 CVD, 1954, undated Totally positive functions, 1946 On Runge's example of polynomial interpolation, circa 1930s Assorted notes, 1938 Inverses [?] of g(x)= -∞ ∫ ∞ (x-t) f(t) dt, 1946-1948 Assorted notes, 1946 Screw lines in Hilbert space, 1936-1938 On roots of cubii, 1938-1941 Attempt at old Pólya conjecture, 1934 [?], 1938-1939 Assorted notes, 1936-1937 Assorted notes, undated 91-3/16 Notes on metric spaces and completely monotone functions, 1937-1938 Fallout from "Planck" problem, 1942 On Rolle's theorem for continuous (non-differentiable) functions, undated Assorted notes, 1942, undated Contributions to the theory of series ∑+/- CV, 1938 On Fourier integrals and metric geometry, 1936 Centroids with imaginary masses, 1939 Assorted notes, 1937-1941 Undated Polyhedra and quadratic forms, 1946 On metric spaces of constant local Euclidean dimension, 1939 91-3/17 ∫∫ |f(x) ^2|dx dy < [?], 1971 Convexity preserving convolutions, 1959-1976 Approximations of lineal polynomials (Motzkin), 1951-1955 Extremum problems: variations; Bernstein's inequality, 1976 Masses in H, 1955 On unitary transformation and screw lines, 1956 Differential equations, 1948-1951 Assorted notes, 1951 Relaxation, 1951, undated 91-3/18 Q-cardinal interpolation, 1974-1980 Assorted notes, 1952-1955 Notes on convex domains, 1933-1947 Quadrature formula obtained by partial integration, 1945, undated Quadrature formula and spline interpolation, 1957, undated Approximations, undated Deriving quadrature from Sterling interpolation, 1944 Mechanical quadratures, undated Spline quadratures, 1957, undated Metric spaces, 1928-1940 91-3/19 Hyperconvexity, 1939-1940 Menger's theorems, 1938 Assorted notes, 1957 Mapping, 1960 "Mixed notes having to do with a,b = ½," 1962 Assorted notes, 1955 Theory of Approximations, 1950 Problems on f (x) = x1 ∫ x dx x1 ∫ x2 x1 ∫ x-1 dx, undated Strengthening of Gauss-Lucas, 1941 Assorted notes, undated [?] Theorem and related problems, undated 91-3/20 Zeroes of multiple positive segments, 1954 Frejér problems, 1956 Convexity preserving kernals, 1936, undated New proof for Marihhaber [?] theorem, 1960 On a Pólya conjecture on f (x) = ∑ |u=0, f^(u) (y (u)), 1941 P.d. functions on spheres with variable radii, 1938-1940 Bernoulli problems, undated D {sin S2}, 1939-1941 An attempt at improving the Denjoy-Carleman theorem, 1941-1942 Connected with [?] by splines, undated Upper periodic functions, 1938-1939 Hungarian problems, undated 4RM55c Oversized tables and graphs, undated 91-3/20 Erdös conjecture, 1957 Polish problems, 1946, undated Additive integral functions, 1955-1958 Monthly paper on f (x) = 0, if x is irrational, q if x = k/q, 1956-1958 Menger curvature problems, 1954-1955 91-3/21 Assorted notes, 1955 Theory of Approximations, 1959 Stirling-Schellenbach interpolations, 1943, undated On zeroes of polynomials with k-times positive coefficients, 1953-1954 Assorted notes, 1963 Notes for Sterling-Romberg, 1980, undated Assorted notes, undated The Sterling-Schellenbach series transformation, 1961 Important notes for Sterling-Schellenbach, undated Notes on the Sterling-Schellenbach method, 1943, undated 91-3/22 Jackson constant in best approximation theory, 1953-1954 Sterling-Schellenbach, 1944-1967 Optimal quadratures, 1969-1985 Assorted notes, 1957 Gauss computataions, 1977 Papers on Laplace transformations, 1950 Assorted notes, 1951, undated 1946-1958 1951 1973, undated Cyclic variations, 1948-1950 91-3/23 Two-dimensional chromos, 1978 Besicovitch constant Bn, 1962-1983 Netanyahu's problem, 1969-1985 Remarks to a paper by P. Bateman, 1962 Galatea, 1970 Continuous continued functions, 1959 Convex functions, 1941 Solving linear equations, 1952 Absolutely convex function, 1942 (N+1) times monotone functions, 1941 Rational C.M. functions, 1941 An application of Schwartz's lemma, 1942 Bieberbach nonsense, 1941 Assorted notes, Undated 1947 Real variables, 1956 The Haar problem, undated Screw lines in H, 1954 Problem, 1938-1940 Functions on spheres, 1938-1940 Real and complex [?], 1960 Assorted notes, 1960, undated The Haar papers, 1957 Laplace transforms, 1939-1948 Totally positive symmetric matrices: a generalization of the Stieltjes problem, 1956 Operation "Sea Serpent" [I], 1956 Operation "Sea Serpent" [II], 1933-1954 L'Affaire Sigeiti Moriguti, 1954-1956 Big cube problem, 1961-1976 4RM55c Geometric constructions, undated 91-3/24 Conditionally convergent series of analytic [?], 1960 Zentralblatt, 1936-1937 91-3/25 Runcheweyh letter, 1983 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 The technique of equidistant spline interpolation, 1970-1971 Assorted notes, 1953 Navy reports, 1949-1951 Bilharz – Steffensen –Thiboux – Haar, 1954-1955 Chromos problem, 1974 Splines, 1971-1972 91-3/26 Study of class P2, 1965 Simply connected sets of lines of 0 < mS < ∞, undated Assorted notes, 1949 The discrete problem, 1947 On totally positive distribution functions, 1946-1947 Assorted notes, 1949-1951 N-chrome, 1962, undated Pisot paper—notes, 1963 4RM55c Oversized notes, undated 91-3/26 Color problem, 1962-1974 91-3/27 Hilbert transform, 1973-1976 Circle splines I, 1975, undated Circle splines II, 1976 A new Insterman [?] problem, 1954 Assorted notes, undated Dahmer [?], 1981 Several variables, 1959, undated Assorted notes I-II, 1951-1960, undated 91-3/28 Le Stang-Naarden, 1956-1957 Assorted notes, 1946-1961 Unclassified problems, 1954-1965 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 91-3/29 Assorted notes, 1980, undated Bernie extensions, 1967 Reprints for Sterling—Schellenbach, 1962-1980 Assorted notes, undated Averages, undated 4RM55c Gauss computations—UNIVAC printouts, 1977 Writings Drafts 91-3/29 “Davy Jones’ Locker”—unpublished writings, 1932, undated 4RM55c Galley proof, “A Remark on the preceding note by Bochner,” circa 1934 91-3/29 Geodesic triangles, 1934 Favard, 1937-1971 Local convexity in Euclidean spaces, 1937 Finished papers, 1938-1946 91-3/30 Review of Mathematical Snapshots, 1939 4RM55c Oversized galley proofs, undated 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 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 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 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 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 4RM55c Oversized numerical tables, undated 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 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 4RM55c Oversized computer printouts, 1980 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 4RM55c Oversized computer printouts, 1980 91-3/35 A new approach to Euler splines, 1981-1993 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 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 4RM55c The π o approximation for Bulgarian mothers, undated 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 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 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 4RM201 Non-Tech Math 1a [restricted], 1939-1940 91-3/39 Courant problems, 1940, undated Complex variables, 1941 Problems for seminar, 1941-1947 Theory of functions, 1941-1942 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 91-3/41 Math 600, 1946-1948 4RM201 Math 630 Theory of Functions [restricted], 1946-1947 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 4RM201 Math 131, Advanced Calculus II [restricted], 1948-1949 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 4RM201 Real Variables II [restricted], 1952-1953 91-3/42 Functions of real variables, 1952-1953 4RM201 Math 231 [restricted], 1954 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 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 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 Non-technical assignments, undated Seminar problems, undated Seminar problems, undated Special topics, undated Math 130, solution to problems, undated Complex variables, undated Lectures by Schoenberg Probability, 1938-1939 On smoothing interpolation with special reference to punched card computing methods, 1945 91-3/46 Partial differential equations - National Bureau of Standards, 1951 Cal Tech, 1957 Number theory, 1959-1960 Notes for a lecture, 1961 Clay [?], 1963-1967 Swarthmore, 1964-1966 Splines and histograms, 1964-1972 Report on the International Congress of Mathematicians—Moscow, 1966 Landau problem lecture [0, +∞], 1970 On quadrature formulae of Chebyshev and Gauss which are optimal in the series [?] by Sand, 1976-1985 91/47 Rome, undated Lectures by others Karlin, S. “Integral equations and total [?] stochastic processes,” 1956-1957 Loewner, Charles “Advanced matrix theory,” 1957 “On generation of monotonic transformations of higher order by infinitesimal transformations,” 1962 “On semigroups in analysis and geometry,” 1962 Loewner, K., “Theory of matrices,” 1956-1957 Number Theory Institute I, 1961 Number Theory institute II, 1961-1962 Number Theory Institute III, 1961-1962 91-3/48 Pólya, George, “Notes on aspects of calculus,” 1955 Wielandt, H., “Topics in analytic theory of matrices,” 1967 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 “Oscillatory and zero properties for perfect splines and monosplines,” undated 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 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 91-3/50 Sharma-Van, 1924-1976 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