Texas Archival Resources Online

TABLE OF CONTENTS


Biographical Note

Biographical/Historical note

Scope and Contents

Restrictions

Index Terms

Administrative Information

Biographical Sources

Description of Series

Series I: Correspondence, 1924-1982

Series II: Scholarly Works, 1923-1982

Series III: Teaching Materials and Notebooks

Series IV: Personal Documentation, 1914-1981

Series V: Printed Material, 1925-1979

Series VI: Oversize

Woodson Research Center, Rice University

Guide to the Salomon Chaim Bochner Papers, 1914-1982 MS 357



creator Bochner, S. (Salomon), 1899-1982
Title: Salomon Chaim Bochner papers
Dates: Bulk, 1968-1981
Dates: 1914-1982, Bulk dates 1968-1981
Abstract: Correspondence and manuscripts of writings relating to Bochner's scholarly works chiefly written during his years at Princeton (1933-1968) and at Rice University (1968-1982); financial and legal papers; and off-prints (36 cubic ft.) closely related to his work. Papers reflecting the Princeton years treat mainly his work in harmonic analysis, Fourier series, functions of several complex variables, and probability theory; those for the latter period at Rice concern the history and philosophy of science. Correspondents include many distinguished scholars of the 20th century.
Identification: MS 357
Quantity: 21.0 linear ft. (21 boxes)
General Physical Description note 21 cubic feet (21 boxes)
Language:
Repository: Woodson Research Center, Rice University, Houston, Texas

Biographical Note

Salomon Chaim Bochner, a mathematician, historian, and teacher of international fame, was born on 20 August 1899 in the small town of Podgorzu, Austria-Hungary, now in Poland. His early schooling included grammar school and attendance at the Academia w Krakowie. Reputedly, he had already mastered the calculus by age 13, and completed his first original research in his fifteenth year. In 1915 he moved to Berlin to attend the Konigstadtisch Oberrealschule until he was conscripted into the Austro-Hungarian army in May 1917.

In the army Bochner received medical training at a military school near Vienna, and eventually obtained the rank of corporal in the medical corps. He was stationed at Feldpost # 3, a military hospital, until November of 1918. Soon thereafter he matriculated at the University of Berlin where he studied mathematics for three years. He received the D.Phil. on 8 April 1921, his examiners being Max Planck, Ehrhardt Schmidt, Issai Schur and Alois Riehl.

Directly after receiving his degree, Bochner was employed as a volunteer in the Cuten and Syman Banking House in Berlin, but left at the end of the year to "do other things". Exactly what he did for most of the next three years is unknown. In 1925, however, he was awarded an International Education Board Fellowship, which brought him to Copenhagen to study with Harald Bohr and to Oxford and Cambridge to work with G.H. Hardy and J.E. Littlewood. In 1927 Bochner accepted a position as a Lecturer in the Mathematics Department of the University of Munich. His colleagues there included several well-known mathematicians, among them C. Caratheodory, O. Perron, H. Tietre, and H. Hartogs.

Bochner made his debut as a young scholar in the 1920s in an incident involving the Danish mathematician, Harald Bohr, the brother of the well-known physicist, Niels Bohr. Inspired on the one hand by the analytic number theory of Bernhard Riemann and on the other by the celestial mechanics of Lagrange and the later astronomers, Bohl and Esclangon, Bohr had developed a general theory of a phenomenon which he named "almost periodicity" and which was described in brief announcements published in 1923. On reading such exciting news, Bochner lacked the patience to wait for the publication of the detailed proofs and simply worked it out himself. Upon learning of the young man's work a month later, Bohr invited Bochner to visit him in Copenhagen. They soon discovered that Bochner had achieved Bohr's result by means of a highly original and parallel approach, entirely different from that of Bohr. Moreover, the Bochner approach was the one that would stand the test of time, being the basis for future generalizations of Bohr's theory.

Notoriety at such an early age led Bochner onto his life-long study of harmonic analysis, starting in 1932 with the now classical treatise, "Lectures on the Fourier Integral". This work laid out the seeds of what was later to be called the theory of distributions and set forth his most famous theorem, actually known as the "Bochner Theorem". In the later development of abstract Fourier analysis, the Bochner theorem became the cornerstone of the theory of distributions.

As a Jew, Bochner evidently decided that the growing tide of Nazism in Germany left him with no other choice than to seek a new life elsewhere. Accordingly, after a six-month stay in Cambridge, England, he joined the Princeton University faculty in 1933, and served as an assistant, associate, and full professor of mathematics until 1968. During that period Bochner held other professional positions. He was a temporary member of the Institute for Advanced Study of Princeton University. He spent one year as a visiting professor at Harvard University and another at the University of California, Berkeley. He was a consultant at the Los Alamos Project and for the Air Research and Development Command. In 1968 Bochner retired from Princeton University and accepted Rice University's offer of the Edgar Odell Lovett Chair in Mathematics. He subsequently became the chairman of the Mathematics Department.

Although Bochner was most devoted to his work and study, he nonetheless led a very active personal life that involved much correspondence and travel. In November 1937 he married Naomi Weinberg of Brooklyn, New York. They went on a three-month honeymoon trip the following year to Holland, France, and Great Britain. One daughter, Deborah, was born to them. His father, Joseph Bochner, became ill in 1935 and died soon thereafter. Upon his father's death, his mother, Ruda Bochner, moved to London to live with his sister, Fannie Rabinowicz. He maintained close ties with his family throughout his life.

During those early years at Princeton, Bochner was extremely preoccupied with pure mathematical theory and proved to be a provocative and prolific writer. His research was original and pioneering. He was a forerunner in the theory of the so-called Schwartz distributions in that he introduced generalized Fourier transforms for functions that do not grow faster at infinity than a power of x. Also, he was the first to introduce, in 1936, the much-studied process of spherical summability of multiple Fourier series; and by a nonobvious construction, he showed that Riemann's classical localization property in one dimension does not have the "expected" analog in two dimensions.

In the field of several complex variables, Bochner's achievements were very significant and spanned a broad horizon, especially in their interaction with other areas of mathematics. In 1938 he proved that the envelope of holomorphy of a tube is again a tube, the basis of the envelope tube being the convex closure of the basis of the original tube. In 1943 he used the "Bochner-Martinelli kernel" to prove Hartog's key theorem that, for a bounded domain with a connected boundary, a holomorphic function on the boundary has a continuation into the entire interior of the domain. The "Bochner-Montgomery Theorem", published in 1946, maintains that, on a compact complex manifold, the Lie group of holomorphic automorphism is a complex Lie group. Bochner created, for real and complex manifolds, the topic of "curvature and Betti numbers", a title under which he published a book with Kentaro Yano in 1953. Finally, the crowning honor in this field came in 1967 with the fifth printing of "Several Complex Variables", originally published in 1947.

In probability theory, Bochner constructed, analyzed, and introduced in 1946 the Fourier transform of a rather general type of stochastic process, randomizing not point functions, but additive set functions, and obtaining not only differential space but other homogeneous processes. In this area of study Bochner's "Harmonic Analysis and the Theory of Probability" became a standard work. Finally, a belated honor arrived in 1977, when it became generally known that Zorn's lemma of 1933 had been fully published and applied by Bochner in 1926.

In the period from 1950 to 1965, Bochner published at least eighty mathematical articles, most being elaborations of the enormous body of his earlier ideas. Afterwards, however, he turned almost exclusively to the history and philosophy of science. In his later years, Bochner wrote books and articles on the role of the concepts of space, infinity, real numbers, functions, and continuity in major junctures and upheavals in the rise of Western mathematics, such as the decline of Greek mathematics in its own phase, the sudden emergence of analysis in the late Renaissance, and a subtle but very tangible change of style in mathematics in the transition from the eighteenth to the nineteenth century. His "The Role of Mathematics in the Rise of Science", perhaps his most famous book, was published in 1966 and soon thereafter translated into many languages. Indeed, a very large proportion of the working papers in this collection deal with the history of science.

Salomon Bochner died in Houston, Texas on 2 May 1982, eleven years after the death of his beloved wife, Naomi. His life began at the turn of the century and his work influenced and sowed seeds of ideas in his students and colleagues that will continue to be important long after his death and beyond the turn of the next century.

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Biographical/Historical note

1899: Born on 20 August in Podgorzu, Kracow, Austria-Hungary.
1906: Began Grammar School, Kracow.
1913:
1914: Graduated from the Akademia Handlowa w Krakowie on 10 December.
1915: In February began to attend the Konigstadtische Oberrealschule in Berlin, Prussia.
1917:
1918:
1921:
1922:
1925: Became International Education Board Fellow and studied with Harald Bohr in Copenhagen and with G.H. Hardy and J. E. Littlewood at Oxford and Cambridge.
1927: Accepted position as a Lecturer, University of Munich.
1933:
1934:
1935: Visited Germany for two months, from July to September, to pay his respects to his father, who was incurably ill.
1936: Visited mother in Great Britain for three months, from July to September.
1937: Married Naomi Weinberg in November.
1938: Made three-month honeymoon trip in July to Holland, France, and Great Britain.
1939: Promoted to Associate Professor, Princeton University.
1945: Gained membership in the Institute for Advanced Study, Princeton University.
1946:
1950: Elected to the National Academy of Sciences.
1951: Served as a Consultant, Los Alamos Project, Princeton University.
1952:
1957: Elected Vice President of the American Mathematical Society.
1958: Chosen as a Delegate to the International Congress of Mathematicians.
1959: Awarded Henry Burchard Fine Chair of Mathematics, Princeton University.
1968:
1969:
1971:
1973: Served as an editor of the "Dictionary of the History of Ideas".
1979: Awarded the Leroy P. Steele Prize of the American Mathematical Society on 25 January.
1982: Salomon Bochner died in Houston, Texas, on 2 May.

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Scope and Contents

The papers of the American mathematician, historian of science, and teacher, Salomon Bochner, begin with his career in Germany, receiving a D.Phil from the University of Berlin and teaching mathematics at the University of Munich. At an early age he established a considerable reputation in Europe for his work in harmonic analysis. In 1933 he joined the mathematics faculty of Princeton University, where he remained until 1968. Although he continued his work in harmonic analysis while at Princeton, he also achieved much fame in the fields of several complex variables, probability theory, and in the history and philosophy of science. His last years were spent as the Edgar Odell Lovett Professor of Mathematics at Rice University. Even though he continued to teach both undergraduate and graduate courses in mathematics at Rice, his scholarly work there was principally historical.

The collection consists of correspondence, manuscripts produced in the preparation of articles, books and lectures, financial and legal documents, and printed material in the form of off-prints and books. Bochner's correspondents included many of the most distinguished scholars of the twentieth century. Their letters complement the scholarly works found in the collection, and both series reflect the profundity and breadth of Bochner's ideas and interests and the influence he exerted in the realm of mathematics and history.

Salomon Bochner's papers were donated to Rice University and placed in Fondren Library's Woodson Research Center in 1982 by his daughter, Deborah Bochner Kennel. On 11 May she donated five record storage boxes from his home in Houston, and she arranged to have sent on 12 October an additional thirty-four boxes from the Mathematics Department of Princeton University. Along with the manuscripts came a great number of books. Only those books which were either written by Bochner or annotated by him have been retained with the papers. The remainder were given to the Fondren Library to be distributed among its regular collections.

Roughly half of the collection consists of correspondence and the manuscripts produced in preparation for a tremendous number of scholarly works. These two sections correspond with each other chronologically in that the bulk of the material in each falls between 1968 and 1981, the years Bochner spent at Rice University. The rest of the collection is less significant but potentially useful. The financial and legal manuscripts provide some detail on the practical affairs of an American academic, and the thirty-six cubic feet of off-prints, which make up part of the collection, reflect Bochner's varied scholarly interests and may prove useful to the researcher when references to such works appear in the manuscripts.

The collection as received was almost completely unorganized, and a chronological or an alphabetical arrangement was used according to the nature of the various categories that emerged during processing. The number of items in each box and file is given in brackets. Separate descriptions for each series precede its inventory.

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Restrictions

Access Restrictions

This material is open for research.

Use Restrictions

Permission to publish material from Salomon Chaim Bochner papers must be obtained from the Woodson Research Center, Fondren Library, Rice University.

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Index Terms

Subjects (Organizations)
Princeton University.
Subjects
Faculty
Fourier series
Functions of several complex variables
Harmonic analysis
Mathematics
Probabilities
Science
Universities and colleges
Places
New Jersey
Texas
Texas--Houston

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Administrative Information

Preffered Citation

Salomon Chaim Bochner papers, 1914-1982, MS 357, Woodson Research Center, Fondren Library, Rice University.

Acquisition Information

The papers of S.C. Bochner were donated to the Woodson Research Center by Bochner's daughter, Deborah Bochner Kennel on May 11, 1982

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Biographical Sources

The following works provide some biographical information on Bochner's life and work. The years of the editions in which Bochner is included as one of the entries appear in parentheses after each citation. Page numbers were omitted because the entries in each work are in alphabetical order. American Men and Women of Science. New York: R. K. Bowler Co. (1976).The Blue Book: Leaders of the English Speaking World. London: St. Martin's Press (1976).Contemporary Authors. Detroit: Gale Research Co. (1979).The International Who's Who. London: Europa Publications, Ltd. (1974, 1975, 1976, 1977, 1978, 1979, 1980, 1981, 1982, 1983).McGraw-Hill Modern Scientists and Engineers. New York: McGraw-Hill (1980).Who's Who in America. Chicago: Marquis Who's Who, Inc. (1974, 1976, 1978, 1980, 1981, 1982).Who's Who in American Jewry. Incorporating "The Directory of American Jewish Institutions." Los Angeles: Standard Who's Who (1980).Who's Who in the World. Chicago: Marquis Who's Who, Inc. (1974).Who's Who in World Jewry: A Biographical Dictionary of Outstanding Jews. New York: Pitman Publishing Co. (1972, 1978).The Writer's Directory. London: St. James Press (1980, 1982, 1984).

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Detailed Description of the Collection

 

Series I: Correspondence, 1924-1982

Scope and Contents note
See Index to Correspondents for a list of correspondents, as they are not listed individually here.
Although correspondence makes up only about sixteen per cent of the entire collection, it contains some of the most valuable research material. Of course some of the letters deal with personal, practical, legal, and financial affairs, but many by both Bochner and his colleagues discuss scholarly matters in such detail and at such length that they could almost be considered unpublished works, amply demonstrating the profundity and breadth of Bochner's ideas and interests and the influence he exerted in the realm of mathematics and the history of science. His correspondents included many of the most distinguished scholars of the twentieth century from such diverse disciplines as art, classics, mathematics, linguistics, biology, physics, philosophy, and history.
Chronologically, the bulk of the correspondence falls within the period from 1968 to 1982 when Bochner was at Rice University. Any documents attached to a letter were not separated; therefore, any single item may contain any number of leaves of both correspondence and other related material. The letters are arranged into two sections: incoming in alphabetical order and outgoing in chronological order. Because almost all of the letters are dated, one may locate a correspondent who wrote to Bochner in both Part I of the Index of Correspondents and the papers themselves, and use the date on the letters to follow the correspondence into the chronological files. Similarly, because Bochner kept carbon or photographic copies of almost all of his letters, one interested in a particular period of Bochner's life or work may begin with the chronological arrangement and follow the trail of individual correspondents of interest within the alphabetical section. Those to whom Bochner wrote have been listed in Part II of the Index of Correspondents.
Incoming
General Physical Description note [1,638 Items]
Box Folder
1 1 A-Anderson
2 Andrew-Az
3 B-Bakeman
4 Baker-Bellman
5 Benjamin-Boutet de Monvel
6 Bownden-Bz
7 C-Clark
8 Clarke-Costner
9 Cottle-Darling
10 Dawson-Dz
11 E-Ez
12 F-Friedes
13 Fritz-Furtmuller
14 G-Gilbertson
15 Gillispie-Gordon, J.
16 Gordon, W. E. -Gunning
17 H-Harris
18 Harvey-Herz
19 Hewitt-Hyman
20 I
21 J
22 K-Kenny
23 Ketz-Kusuda
24 L-Lapedes
25 Laubert-Lewis
26 Libster-Lyons
27 M-Mallion
28 Mandelbaum-May
29 Meier-Murphree
30 N
31 O
32 P-Peters
33 Pettee
Box Folder
2 1 Pfeiffer-Proshamsky
2 Q-Quigley
3 Quigley
4 Quigley
5 R-Reasoner
6 Recillas-Rohman
7 Ronchi-Ryan
8 S-Schoenberg
9 Schoenfeld-Sherrard
10 Shklarsky-Srebrny
11 Srivastav-Swerdlow
12 T-Thompson
13 Tiras-Tucker
14 U
15 V
16 W-Wells
17 Westner-Wiedenhold
18 Wiener
19 Wiggins-Wright
20 X-Z
21 Unknown Authors
Outgoing
Box Folder
2 22 1924-1932
23 1953-1960
24 1961
25 1962-1964
26 1965-1966
27 1967
28 1968
29 1969
30 January-June 1970
31 July-December 1970
32 January-March 1971
33 April 1971
34 May-July 1971
35 August-December 1971
Box Folder
3 1 January-May 1972
2 June-December 1972
3 January-May 1973
4 June-December 1973
5 January-July 1974
6 August-December 1974
7 January-July 1975
8 August-December 1975
9 1976
10 1977
11 1978
12 1979
13 1980
14 1981
15 1982
16 Undated

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Series II: Scholarly Works, 1923-1982

Scope and Contents note
Manuscripts of scholarly works make up a large and significant gathering of research material. Bochner wrote many versions of his many articles and books. These files reveal the evolution of his thought from handwritten notes to the completed manuscript. Most items are full of deleted paragraphs, insertions, and marginal comments. A great majority of his publications after his arrival in the United States in 1932 are represented here. Moreover, some of the works found here were never published: the handwritten notes to lectures, articles and books that were started but never finished, and a major book which Bochner was near completing upon his death. The title given each file follows as closely as possible Bochner's own label for the item or the name of the eventual publication to which it pertained. The entire series is arranged in alphabetical order by title. Among items of the same title, an attempt was made to arrange them according to the chronology of their creation, not publication, in order to reveal the sequence of revisions. When it was possible to ascertain an exact date, it was given in the inventory. A printout of all of the bibliographical citations to Bochner's publications in chronological order is in the control file of the collection and is available to researchers upon request.
Box Folder
3 17 Achievements of Bernhard Riemann, 1968
18 Achievements of Riemann, 1969
19 Advanced Analysis, c. 1935
20 Ages of Mathematics, c. 1975
21 Ages of Mathematics, c. 1975
22-24 Albert Einstein: What He Was and What He Did, 1979
25 Almost Automorphy, 1975
26 Almost Periodic Functions, 1964
27 Almost Periodicity for Abstract Differential Equations
28 Almost Periodicity
29 Analysis
30 Analytic Measures on Compact BOHR Groups
31 Approximation by Spherical Summability
32 Aristotle's Notion of Place (Topos) in Physics
33 Aristotle's Physics and Today's Physics
34 Aristotle's Physics and Today's Physics
35 Atoms, Continuity
36 Atoms and Other Particles
37 Birth of the Modern Scientific Instrument
38 Boolean Algebra
39 But What Is Continuity?
40 Commentary on the Paper of Curtis A. Wilson, 1973
41 Continuity All Around
42-48 Continuity and Discontinuity in Nature and Knowledge
Box Folder
4 1 Continuity vs. Atomism
2 Continuous Mappings of Almost Automorphic and Almost Periodic Functions, 1964
3 Curvature and Beti Numbers in Real and Complex Vector Bundles
4 Differential Geometry
5 Differential Geometry in Vector Bundles
6 Duality Theorems
7 Earth and Universe
8-32 Eclosion and Synthesis, 1969
33-34 Einstein and the Twentieth Century
35-38 Einstein Between Centuries, 1979
Box Folder
5 1-4 Einstein Between Centuries, 1979
5 Electromagnetic Spectrum
6 The Emergence of Analysis (Prolegomena)
7 The Emergence of Analysis, 1977
8 Everything Has A History
9 Everything Is Continuous
10 Fade-Out Into the Sunset
11 Fourier Series Came First, 1978
12 Function of Several Complex Variables, 1935
13 Function Rings and Analytic Measures
14 General Almost Automorphy, 1975
15 Greatness of the Nineteenth Century
16 Greek Mathematics
17 Green Stokes Formula
18-21 Harmonic Analysis and Probability, 1956
22 Harry Bateman, 1972
23 Hermann Weyl, 1975
24 History of Mathematics as a Part of General History, 1970
25 History of Mathematics as a Part of General History, 1970
26 Horizontalism
27 How Aristotle Created History of Natural Philosophy, 1965
28 How Aristotle Created History of Natural Philosophy, 1965
29-34 How History of Science Differs From Other History
35 Humanities
36 Irrationality vs. Rationality
37 Infinity, 1971
38-39 Infinity in Nature and Knowledge
40-43 Infinity in Nature and Knowledge
44 Intellectual Role of Mathematics Since Renaissance and Scientific Revolution, 1977
45 Intrinsic Analytic Continuation and Envelopes of Holomorphy
46 Intrinsic Analytic Continuation and Envelopes of Holomorphy
47 Kaehler Property
48 Kepler, 1978
49 Kepler, Einstein, Spengler: The Role of Space in Nature and Knowledge (Preface), 1980
49-53 Kepler, Einstein, Spengler: The Role of Space in Nature and Knowledge (Chapter 1), 1980
Box Folder
6 1 Kepler, Einstein, Spengler: The Role of Space in Nature and Knowledge (Chapter 1), 1980
2-4 Kepler, Einstein, Spengler: Space in Nature, Knowledge, Art (Chapter II), 1980
5 Kepler, Einstein, Spengler: Space in Nature, Knowledge, Art (Chapter III), 1980
6 Knowledge in the Nineteenth Century
7 Konrad Burdach: Reformation, Renaissance, Humanism (Preface)
8-13 Levels of Mathematics in Interaction with Science, 1972
14 Limitations of Greek Mathematics
15 Linguistics
16 Mathematical Background Space in Astronomy and Cosmology, 1973
17 Mathematical Background Space in Astronomy and Cosmology, 1973
18 Mathematical “Firsts' in the Nineteenth Century
19 A Mathematical Outlook on the Scientific Revolution, 1500-1800
20 A Mathematical Outlook on the Scientific Revolution, 1500-1800
21 Mathematical Reflections, 1974
22-23 Mathematical Reminiscences and Americana: The Philosophical Conception of Continuity in C. S. Peirce, 1973
24-34 Mathematical Space in Nature and Knowledge, 1980
35 Mathematics
36-39 Mathematics and Renaissance in Italy, 1978
40 Mathematics in Cultural History
41 Mathematics: Its History as a Part of Cultural History, 1970
42 Mechaniks
43 Nineteenth Century: An Overview
44 Notes on Abel's Theorem
45 Notes on “Weimar Culture, Causality and Quantum Theory, 1918-1927.”
46 Number Theory Notes
47 Number Theory Notes
48 Our Theme
49 Oswald Spengler, Mathematician, 1980
Box Folder
7 1-4 Oswald Spengler, Mathematician, 1980
5-8 Oswald Spengler: Mathematician and Philosopher of Doom
9 Partial Ordering
10 Partial Ordering
11 Partial Ordering
12 Partielle Differentialgleiden, 1929
13 Partielle Differentialgleiden, 1929
14 Pessimism
15 Physics
16 Plato on Mathematics
17 Positivity of the Heat Kernel for Ultra Spherical Polynomials, 1979
18 Positivity of the Heat Kernel for Ultra Spherical Polynomials, 1979
19 Lectures on "Potential Theory," 1934
20 Lectures on "Potential Theory," 1934
21 Principles of Probability, 1978
22 Program in History of Knowledge, 1969
23 Psychology and Pedagogy
24 Regular Polyhedra
25 Research Proposal in Linear Differential-Difference Equations, 1976
26 Review of "Gustav Herglotz: Gesamnelte Schriften, "by Hans Schwerdtfeger, 1979
27 Review of "Gustav Herglotz: Gesamnelte Schriften, "by Hans Schwerdtfeger, 1979
28-30 Review of "The Rational Mechanics of Flexible or Elastic Bodies, 1638-1788 "by C. Truesdell, 1960
31-32 Revolutions in Physics and Crises in Mathematics
33 The Rise of Functions
34-42 The Role of Mathematics in the Development of Science
43-45 The Role of Mathematics in the Development of Science (Revision Inserts)
46-48 Several Complex Variables
49 The Significance of Some Basic Mathematical Conceptions for Physics
50-51 Singularities and Discontinuities, 1972
52-53 Size of the Universe in Greek Thought
54-55 Space, 1971
56 Space and Structure
57 Symmetry and Asymmetry, 1971
Box Folder
8 1 Symmetry and Asymmetry, 1971
2 Symmetry and Asymmetry, 1971
3 Tabelion Theorems and the Prime Number Theorem
4-6 Theory of Measure
7 Theory of the Distribution of Primes (Chapter I)
8 Theory of the Distribution of Primes (Chapter I)
9 Three Dimensionality in Antiquity
10 Three Dimensionality and Anti-Substance
11 Space and Universe in Western Thought
12-17 Three Dimensionality
18 Throwbacks to Pythagorism
19 Transportation, Communication, Illumination
20 Twentieth Century: Arts
21 Uniform Convergence of Monotone Sequence of Functions
22 Vector Fields on Riemannian Spaces With Boundary
23 Weak Solutions of Linear Partial Differential Equations
24 What Are Stars Made Of?
25 Why Mathematics?
26 Why Mathematics?

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Series III: Teaching Materials and Notebooks

Scope and Contents note
This category contains some of the teaching materials Bochner collected during his long career as a teacher at Munich, Princeton, and Rice, and the numerous notebooks he kept throughout his life. The two were grouped together because many of the notebooks contain teaching notes as well as language drills, poetry, a short diary, and more advanced mathematical notations.
Teaching Materials
Box Folder
8 27 Algebra (Notes), 1931
28 Analytical Geometry (Notes), 1931
29 Differential Geometry (Notes), 1931
30 Algebra II (Notes), 1932
31 Mathematics 107 (Examination), 1942
32 Mathematics 107 (Handouts), 1970
33 Mathematics 221 (Problems), 1972
34 Mathematics 222 (Problems), 1972-1975
35 Mathematics 221 (Examinations, Problems), 1972-1977
36 Mathematics 221 (Examinations, Problems), 1972-1977
37 Mathematics 221 (Notes), 1974
38 Mathematics 211 (Examinations, Problems), 1975
39 Mathematics 212 (Examinations, Problems), 1976
40 Mathematics 212 (Notes), 1976
41 Mathematics 402b (Notes), 1977
42 Mathematics 402d (Problems), 1977
43 Mathematics 401 (Problems), 1977-1978
44 Mathematics 222 (Examination), 1978
45 Mathematics 426 (Examination), 1979
Notebooks
Box Folder
8 46 Mathematics Notebook, 1924
47 Mathematics Notebook, 1919
48 Mathematics Notebook, 1924
49 Mathematics and Spanish Language Notebook
50 Transcript, University of Berlin, 1918-1921
51 German Language Drills, c. 1917
52 Mathematics Notebook, c. 1920
53 German Language Drills, c. 1917
54 Diary and Poetry, c. 1922
55 Mathematics Notebook, 1920
56 Mathematics Notebook, 1924
Box Folder
9 1 Mathematics Notebook, 1924
2 Mathematics and English Language Notebook, c. 1920
3 Algebra Exercises of Josefa V. Schwarz, Munich, c. 1930
4 Algebra Exercises of Josefa V. Schwarz, Munich, c. 1930
5 Student Exercises in Mathematics, Munich, 1928
6 Mathematics Notebook, 1926
7 Reading Notes on Greek Mathematics, c. 1960
8 Reading Notes on Ancient Greek Classics, c. 1960

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Series IV: Personal Documentation, 1914-1981

Scope and Contents note
This series is comprised of legal and financial documents, personal references, and photographs. The legal and financial documents include wills, publishing and consultant contracts, diplomatic papers, personal bills, high school and university transcripts, military records, receipts, royalty statements, diplomas, certificates, insurance claims, and medical records. Arranged in chronological order from 1914 to 1981, they provide some early biographical data regarding Bochner's education in Poland and Germany, his citizenship, and his military service during World War I. They also give a glimpse of his financial dealings with publishers, particularly Princeton University Press.
The personal references from teachers and employers were written in the form of general statements concerning Bochner's moral and academic characteristics rather than as true letters to specific individuals. For this reason, they were not included in the correspondence category. The four such statements in the collection, all within the period 1915-1924, are from his preparatory school in Berlin, the Konigstadtisch Oberrealschule, his professor at the University of Berlin, Issal Schur, the Cuten and Syman banking firm, where he worked for almost a year, and Josef Wdowinski, for whom Bochner worked as a secretary.
The twenty-seven photographs of the collection consist of mostly unidentified snapshots of Bochner and his colleagues and family in Munich, Princeton, Houston, Los Angeles, and Bombay from c.1928 to c. 1981.
Box Folder
9 9 Legal and Financial Papers, 1914-1981.
10 References, 1915-1924,
11 Photographs, c. 1928-1981,

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Series V: Printed Material, 1925-1979

Scope and Contents note
The printed material within the collection is of two types: off-prints and books. The off-prints, collected by Bochner throughout his life and consisting of many articles that are now hard to obtain, were divided between those that were written by Bochner himself and those written by others. The former group was arranged in chronological order and the latter in alphabetical order. Although Bochner's library was large, only books written by him or those in which he made annotations were retained with the collection. They were arranged in alphabetical order by author.
Off-Prints
Publications of Salomon Bochner
Box Folder
9 12 1925-1929
13 1930-1934
14 1935-1937
15 1938-1939
16 1940-1941
17 1942-1944
18 1945-1947
19 1948-1949
20 1950-1951
21 1952-1954
22 1955-1957
23 1958-1959
24 1960-1962
25 1963-1964
26 1965-1969
27 1970-1979
28 Undated
Publications of Others
Box
9 A
Box
10 A-B
Box
11 B-C
Box
12 C-F
Box
13 F-H
Box
14 H-K
Box
15 K-L
Box
16 L-M
Box
17 M-N
Box
18 N-R
Box
19 S-T
Box
20 T-Z

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Series VI: Oversize

Box Folder
21 1 Oversize materials

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