Guide to the Salomon Chaim Bochner Papers, 19141982
MS 357





creator 
Bochner, S. (Salomon), 18991982 

Title: 
Salomon Chaim Bochner papers 

Dates: 
Bulk, 19681981 

Dates: 
19141982, Bulk dates 19681981 

Abstract: 
Correspondence and manuscripts of writings relating to Bochner's scholarly works chiefly written during his years at Princeton (19331968) and at Rice University (19681982); financial and legal papers; and offprints (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 
Salomon Chaim Bochner, a mathematician, historian, and teacher of international fame, was born on 20 August 1899 in the small town of Podgorzu, AustriaHungary, 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 AustroHungarian 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 wellknown 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 wellknown 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 lifelong 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 sixmonth 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 threemonth 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 socalled 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 muchstudied 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
"BochnerMartinelli 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
"BochnerMontgomery 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.




1899: 
Born on 20 August in Podgorzu, Kracow, AustriaHungary. 

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 threemonth 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. 
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 offprints 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 thirtyfour 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 thirtysix cubic feet of offprints, 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.
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.







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 


TexasHouston 
Salomon Chaim Bochner papers, 19141982, MS 357, Woodson Research Center, Fondren Library, Rice University.
The papers of S.C. Bochner were donated to the Woodson Research Center by Bochner's daughter, Deborah Bochner Kennel on May 11, 1982




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).McGrawHill Modern Scientists and Engineers. New York: McGrawHill (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). 
Detailed Description of the Collection















Series I: Correspondence, 19241982 

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 


AAnderson 

2 


AndrewAz 

3 


BBakeman 

4 


BakerBellman 

5 


BenjaminBoutet de Monvel 

6 


BowndenBz 

7 


CClark 

8 


ClarkeCostner 

9 


CottleDarling 

10 


DawsonDz 

11 


EEz 

12 


FFriedes 

13 


FritzFurtmuller 

14 


GGilbertson 

15 


GillispieGordon, J. 

16 


Gordon, W. E. Gunning 

17 


HHarris 

18 


HarveyHerz 

19 


HewittHyman 

20 


I 

21 


J 

22 


KKenny 

23 


KetzKusuda 

24 


LLapedes 

25 


LaubertLewis 

26 


LibsterLyons 

27 


MMallion 

28 


MandelbaumMay 

29 


MeierMurphree 

30 


N 

31 


O 

32 


PPeters 

33 


Pettee 
Box 
Folder 
2 
1 


PfeifferProshamsky 

2 


QQuigley 

3 


Quigley 

4 


Quigley 

5 


RReasoner 

6 


RecillasRohman 

7 


RonchiRyan 

8 


SSchoenberg 

9 


SchoenfeldSherrard 

10 


ShklarskySrebrny 

11 


SrivastavSwerdlow 

12 


TThompson 

13 


TirasTucker 

14 


U 

15 


V 

16 


WWells 

17 


WestnerWiedenhold 

18 


Wiener 

19 


WigginsWright 

20 


XZ 

21 


Unknown Authors 



Outgoing 
Box 
Folder 
2 
22 


19241932 

23 


19531960 

24 


1961 

25 


19621964 

26 


19651966 

27 


1967 

28 


1968 

29 


1969 

30 


JanuaryJune 1970 

31 


JulyDecember 1970 

32 


JanuaryMarch 1971 

33 


April 1971 

34 


MayJuly 1971 

35 


AugustDecember 1971 
Box 
Folder 
3 
1 


JanuaryMay 1972 

2 


JuneDecember 1972 

3 


JanuaryMay 1973 

4 


JuneDecember 1973 

5 


JanuaryJuly 1974 

6 


AugustDecember 1974 

7 


JanuaryJuly 1975 

8 


AugustDecember 1975 

9 


1976 

10 


1977 

11 


1978 

12 


1979 

13 


1980 

14 


1981 

15 


1982 

16 


Undated 















Series II: Scholarly Works, 19231982 

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 

2224 

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 

4248 

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 

832 

Eclosion and Synthesis, 1969 

3334 

Einstein and the Twentieth Century 

3538 

Einstein Between Centuries, 1979 
Box 
Folder 
5 
14 

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 

FadeOut 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 

1821 

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 

2934 

How History of Science Differs From Other History 

35 

Humanities 

36 

Irrationality vs. Rationality 

37 

Infinity, 1971 

3839 

Infinity in Nature and Knowledge 

4043 

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 

4953 

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 

24 

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) 

813 

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, 15001800 

20 

A Mathematical Outlook on the Scientific Revolution, 15001800 

21 

Mathematical Reflections, 1974 

2223 

Mathematical Reminiscences and Americana: The Philosophical Conception of Continuity in C. S. Peirce, 1973 

2434 

Mathematical Space in Nature and Knowledge, 1980 

35 

Mathematics 

3639 

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, 19181927.” 

46 

Number Theory Notes 

47 

Number Theory Notes 

48 

Our Theme 

49 

Oswald Spengler, Mathematician, 1980 
Box 
Folder 
7 
14 

Oswald Spengler, Mathematician, 1980 

58 

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 DifferentialDifference Equations, 1976 

26 

Review of
"Gustav Herglotz: Gesamnelte Schriften, "by Hans Schwerdtfeger, 1979 

27 

Review of
"Gustav Herglotz: Gesamnelte Schriften, "by Hans Schwerdtfeger, 1979 

2830 

Review of
"The Rational Mechanics of Flexible or Elastic Bodies, 16381788 "by C. Truesdell, 1960 

3132 

Revolutions in Physics and Crises in Mathematics 

33 

The Rise of Functions 

3442 

The Role of Mathematics in the Development of Science 

4345 

The Role of Mathematics in the Development of Science (Revision Inserts) 

4648 

Several Complex Variables 

49 

The Significance of Some Basic Mathematical Conceptions for Physics 

5051 

Singularities and Discontinuities, 1972 

5253 

Size of the Universe in Greek Thought 

5455 

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 

46 

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 AntiSubstance 

11 

Space and Universe in Western Thought 

1217 

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? 















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), 19721975 

35 


Mathematics 221 (Examinations, Problems), 19721977 

36 


Mathematics 221 (Examinations, Problems), 19721977 

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), 19771978 

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, 19181921 

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 















Series IV: Personal Documentation, 19141981 

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 19151924, 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 twentyseven 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, 19141981. 

10 

References, 19151924, 

11 

Photographs, c. 19281981, 















Series V: Printed Material, 19251979 

Scope and Contents note 

The printed material within the collection is of two types: offprints and books. The offprints, 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. 



OffPrints 




Publications of Salomon Bochner 
Box 
Folder 
9 
12 



19251929 

13 



19301934 

14 



19351937 

15 



19381939 

16 



19401941 

17 



19421944 

18 



19451947 

19 



19481949 

20 



19501951 

21 



19521954 

22 



19551957 

23 



19581959 

24 



19601962 

25 



19631964 

26 



19651969 

27 



19701979 

28 



Undated 




Publications of Others 
Box 
9 




A 
Box 
10 




AB 
Box 
11 




BC 
Box 
12 




CF 
Box 
13 




FH 
Box 
14 




HK 
Box 
15 




KL 
Box 
16 




LM 
Box 
17 




MN 
Box 
18 




NR 
Box 
19 




ST 
Box 
20 




TZ 















Series VI: Oversize 
Box 
Folder 
21 
1 

Oversize materials 
