University of Texas, Dolph Briscoe Center for American History

A Guide to the Otton Martin Nikodym Papers, 1925-1981



Descriptive Summary

Creator: Nikodym, Otton Martin, 1887-
Title: Otton Martin Nikodym Papers
Dates: 1925-1981
Abstract: Collection documents the career of Otton Martin Nikodym (1887-1974) at the University of Warsaw and Kenyon College. Correspondents include J.-L. Destouches, N. Dunford, H. Hasse, V. Klee, G. Ludwig, C. Paue, and W. Sierpinski. Material includes correspondence, subject bibliographies, and photographs.
Extent: 12 ft.; manuscript, typescript, printed, photographic.
Language: Material is written in English, French, Italian, and Polish.
Repository: Dolph Briscoe Center for American History, The University of Texas at Austin

Biographical Note:

Otton Martin Nikodym was born August 13, 1887, in Zablotow, Poland. He was educated at the Universities of Lwow and Warsaw, and the Sorbonne. Nikodym taught at the Universities of Cracow and Warsaw and at the High Polytechnical School in Cracow. He came to the United States in 1948 to join the faculty of Kenyon College. He retired in 1966 and moved to Utica, N.Y., where he continued his research. Nikodym died in 1974.

Nikodym worked in a wide range of areas, but his best-known early work was his contribution to the development of the Lebesque-Radon-Nikodym integral. His work in measure theory led him to an interest in abstract Boolean lattices. His work after coming to this country centered in the theory of operators in Hilbert space, based on Boolean lattices, culminating in his The Mathematical Apparatus for Quantum-Theories. He was also interested in mathematics teaching.


Scope and Contents

The papers contain notes and drafts for unpublished works on affine geometry, algebra of fields, Frechet and abstract Riemann integrals, measure theory, and logic; together with notes, drafts, and proofs for several published works. Material used in preparing volume 1 (published) and volume 2 (unpublished) of The Mathematical Apparatus for Quantum-Theories is included. Volume II is virtually complete, requiring final editing. There are notes for lectures and courses, and drafts of textbooks on algebra and geometry. The collection includes Nikodym's bibliography and reprints, together with his library (annotated) and reprint collection. Papers are in English, French, Italian, and Polish. Correspondents include J.-L. Destouches, N. Dunford, M. Frechet, H. Hasse, V. Klee, G. Ludwig, C. Paue, and W. Sierpinski. The papers, except for Nikodym's reprints, largely postdate his arrival in the U.S. (1948). Material includes subject bibliographies, photographs, and paintings by Stanislawa Nikodym of the Nikodyms' home in Gambier, Ohio, and of European scenes.

Forms part of the Archives of American Mathematics.


 

Organization

Organized into 11 series:
General Correspondence
The Mathematical Apparatus for Quantum-Theories
Books (unpublished)
Articles (published)
Articles (unpublished)
Lectures
Grants
Subject Files and Notes
Personal
Publications by Others
At Sid Richardson Hall (Photographs)

Restrictions

Use Restrictions

The majority of this collection is stored remotely at CDL. Advance notice required for retrieval. Contact repository for retrieval.


Index Terms:

Subjects (Persons)
Nikodym, Otton Martin
Nikodym, Stanislawa
Subjects
Fields, Algebraic
Functional analysis
Hilbert space
Lattice theory
Linear operators
Logic, Mathematical and symbolic
Mathematics - Study and teaching
Measure theory
Quantum theory

Administrative Information

Preferred Citation

Otton Martin Nikodym Papers, 1925-1981, Archives of American Mathematics, Dolph Briscoe Center for American History, University of Texas at Austin.


Detailed Description of the Papers

 

General correspondence:

Box
86-44/1 A - D
E - G
H - L
Kenyon College
M - S
Nikodym, Stanislawa, letters of condolence, 1974
Offprint requests
Springer Verlag, 1964-78
Box
86-44/2 T - Y, and unidentified



 

The Mathematical Apparatus for Quantum-Theories:

Box
86-44/2 Notes on work of various physicists, including Bohm, DeBroglie, Ludwig, Weyl
Notes on mathematical physics
Notes on mathematical physics: Green's formula
Drafts for v. I and II, Calculus of variations in the large
Manuscripts and notes, Destouches: A general theory of predictions
Box
86-44/3 The Mathematical Apparatus for Quantum-Theories, v. I:
Manuscripts used in v. I(?)
Chapters: W' (Jubilee of H. Hasse), R', S, T, N, F, S, J
Chapter: R', List of notions and symbols
Chapters H, K, and unlabeled
Typescripts:
Fragments; Pp. 1-214
Pp. 225-288; Chapter A
Box
86-44/4 Typescript chapters:
A'
B, B', C
C', D
D', E
H, J, K, L, M, N
Box
86-44/5 J, J', K, L
M, N, P
P, P', Q, Q'
P', Q, Q', R
R, R', T, U
Box
86-44/6 R', S, T, U
W, W'
W, W'
Page proofs:
Pp. 1-448
Pp. 449-942
Box
86-44/7 Corrected page proofs, Pp. 1-560
Corrected page proofs, Pp. 561-941
Reviews
The Mathematical Apparatus for Quantum-Theories, v. II:
Notes and drafts
Chapter list, Chapters , , , and unlabeled
Rund (Account of infinities), Mean value, Differentiation of Fourier integral:
Saturated tribes, Operators, Lagrange-extremals, Partial and double summation on the Cartesian product, Cantorization
Chapters I or I, I, KIII, and unlabeled
Plan of v. II, Chapter or, and unlabeled
Box
86-44/8 Chapters I, I, and unlabeled
Last chapter of Book II, Lemma on Stieltjes integrals
Chapters II, I, IV, IV, Fourier-Plancherel theorem, and unlabeled
Auxiliary chapters, and unlabeled
Chapter plan, Auxiliary chapter II
Drafts arranged by chapter - Chapters:
I, IV, I, I, Outline of v. II
IV, I, II(?), III, II, I, I, I, I, III
Box
86-44/9 IV, IV, IV, appendix, appendix, wIII, I, III, 7III
Appendix, I, III, III, III, II, II, III, III, IV, II, and unlabeled
III, I4.9/86-44/V
III, III, III, III, III, III, III
II, II, II, II
Box
86-44/10 I, I
I, I
I, I
I, I, I
Manuscript and typescript drafts: Pp. 991-1195
Box
86-44/11 Typescript drafts:
Pp. 1 - 343
Pp. 344 - 761, Chapter lists
Pp. 762 - 990
Pp. 991 - 1195, Chapter lists
Completed typescript
Box
86-44/12 Completed typescript (cont.)



 

Books (unpublished):

Box
86-44/12 Affine geometry
Box
86-44/13 Algebra of fields
Elementary college mathematics text
Geometry
Box
86-44/14 Geometry (cont.)
Let us Look in the Depths of Thought (originally radio lectures, Warsaw, 1938), with correspondence, 1976-77
Box
86-44/15 Understanding College Algebra



 

Articles (published):

Box
86-44/15 Bibliography
Reprints (reprints follow order of the bibliography: not strictly chronological):
1925-28
1929
1930
1928-33
Box
86-44/16 1937
1938
1939-49
1948-54, 1957
1955-60
1959, 1964
Box
86-44/17 1956-65
Correspondence, 1952-70
"Theorems on divisibility of cardinals" (1957), with related letters from Paue and Suss.
"Summation of quasi-vectors on Boolean tribes and its application to quantum-theories, I," annotated (1959)
"Studies of some items of the lattice theory in relation to the Hilbert-Hermite space" (1969)
"A study in Lagrange's variational problem considered in the large" (1970)



 

Articles (unpublished):

Box
86-44/17 Frechet integrals, Vitali-Hahn-Saks theorem, abstract Riemann integrals
Box
86-44/18 Algebra
On generalized Cantor-extension device in abstract fields (with S. Nikodym), 1954
Remarks on formal structure of mathematics



 

Lectures:

Box
86-44/18 Correspondence, announcements, 1946-70
Advanced lectures at Kenyon:
Projective geometry
Topology, geometry, and other topics
Lecture at DeBroglie's seminar on Jacobi's theory concerning movement of a material point
Box
86-44/19 Lectures on measure theory, Naples (1965)
Box
86-44/20 Popular lectures on logic
"Sur les absurdites respectables dans les mathematiques et sur leur cure - avec application a la fameuse fonction delta de M. Dirac"
Lectures in Pittsburgh: Hilbert space, Boolean tribes, complex approximation
Box
AAM-OS/1 Wall charts on quantum theory work



 

Grants:

Box
86-44/20 National Science Foundation, correspondence, applications, reports
1953-64
1965-72
Other agencies, correspondence, applications, 1952-69



 

Subject files and notes:

Box
86-44/20 Bibliographies:
Boolean tribes, Orderings and lattices, Measure integrals
Box
86-44/21 Functional calculus, Hilbert space
Nelson Dunford bibliography
Destouches, J. -L., "Ancienne theorie des quanta"
Fourier integrals, differential equations, and other topics
Groups and rings
Hilbert space (includes correspondence: G. Ludwig), 1965
Notes:
Non-mathematical notes: Chemistry, atomic structure, languages
Box
86-44/22 Research notes (unidentified)



 

Personal:

Box
86-44/22 Biographical items, curriculum vitae, newspaper clippings
Official documents, financial records, addresses, notes
Organization memberships (with correspondence), 1947-67
Box
86-44/23 Paintings by S. Nikodym
Box
AAM-OS/1 Paintings by S. Nikodym
Box
86-44/23 The Rape of Cinderella, by Eugene Paul Nassar (dedicated to O. M. Nikodym)



 

Publications by others:

Box
86-44/23 Reprints:
A - C
D - G
H - J
Box
86-44/24 K - O
P - S
T - Z
Colloque de Topologie Algebraique (1947)
Stanislawa Nikodym, bibliography and reprints
"Beginnings of the Mathematical Research Institute Oberwolfach of the Country-Seat 'Lorenzenhof'" by I. Suss.



 

At SRH:

Box
4RM203c Photographs, ca. 1947-1964 and undated