TABLE OF CONTENTS
Descriptive Summary
Biographical Note:
Scope and Contents
Organization
Restrictions
Index Terms:
Administrative Information
Description of 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Books (unpublished):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Articles (unpublished):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:
|
A Guide to the Otton Martin Nikodym Papers,
1925-1981
| | |
|
|
| 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: | Archives of American Mathematics, Center for
American History, The University of Texas at
Austin |
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.
Return to the Table of 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The papers contain notes and drafts for unpublished works on affine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(unpublished) of The Mathematical Apparatus for Quantum-Theories is included.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.
Return to the Table of Contents
| | |
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) |
Return to the Table of Contents
Use Restrictions
The majority of these papers are stored remotely. Contact reference
staff for offsite retrieval.
Return to the Table of Contents
| | |
|
|
| |
| 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 |
Return to the Table of Contents
Otton Martin Nikodym Papers, 1925-1981, Archives of American
Mathematics, Center for American History, University of Texas at Austin
Return to the Table of Contents
| | | | | | | | | | | | | |
| |
General correspondence:
|
| Box |
| 4.9/86-44/1 | | | A - D |
| | | E - G |
| | | H - L |
| | | Kenyon College |
| | | M - S |
| | | Nikodym, Stanislawa, letters of condolence,
1974 |
| | | Offprint requests |
| | | Springer Verlag,
1964-78 |
| Box |
| 4.9/86-44/2 | | | T - Y, and unidentified |
Return to the Table of Contents
| | | | | | | | | | | | | |
| |
The Mathematical Apparatus for Quantum-Theories:
|
| Box |
| 4.9/86-44/2 | | | 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 |
| 4.9/86-44/3 | | | 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 |
| 4.9/86-44/4 | | | | | Typescript chapters: |
| | | | | | A' |
| | | | | B, B', C |
| | | | | | C', D |
| | | | | D', E |
| | | | | | H, J, K, L, M, N |
| Box |
| 4.9/86-44/5 | | | | | | J, J', K, L |
| | | | | M, N, P |
| | | | | P, P', Q, Q' |
| | | | | | P', Q, Q', R |
| | | | | | R, R', T, U |
| Box |
| 4.9/86-44/6 | | | | | | R', S, T, U |
| | | | | | W, W' |
| | | | | | W, W' |
| | | | Page proofs: |
| | | | | Pp. 1-448 |
| | | | | Pp. 449-942 |
| Box |
| 4.9/86-44/7 | | | | | 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 |
| 4.9/86-44/8 | | | | | 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 |
| 4.9/86-44/9 | | | | | IV, IV, IV, appendix, appendix, wIII, I, III,
7III |
| | | | | Appendix, I, III, III, III, II, II, III, III, IV, II,
and unlabeled |
| Box |
| 9 | | | | | III, I4.9/86-44/V |
| Box |
| 4.9/86-44/9 | | | | | III, III, III, III, III, III, III |
| | | | | II, II, II, II |
| Box |
| 4.9/86-44/10 | | | | | I, I |
| | | | | I, I |
| | | | | I, I |
| | | | | I, I, I |
| | | | Manuscript and typescript drafts: Pp.
991-1195 |
| Box |
| 4.9/86-44/11 | | | Typescript drafts: |
| | | | |
| | | | | Pp. 1 - 343 |
| | | | | Pp. 344 - 761, Chapter lists |
| | | | | Pp. 762 - 990 |
| | | | | Pp. 991 - 1195, Chapter lists |
| | | | Completed typescript |
| Box |
| 4.9/86-44/12 | | | Completed typescript (cont.) |
Return to the Table of Contents
| | | | | | | | | | | | | |
| |
Books (unpublished):
|
| Box |
| 4.9/86-44/12 | | | Affine geometry |
| Box |
| 4.9/86-44/13 | | | Algebra of fields |
| | | Elementary college mathematics text |
| | | Geometry |
| Box |
| 4.9/86-44/14 | | | Geometry (cont.) |
| | | Let us Look in the Depths of Thought (originally radio
lectures, Warsaw, 1938), with correspondence,
1976-77 |
| Box |
| 4.9/86-44/15 | | | Understanding College Algebra |
Return to the Table of Contents
| | | | | | | | | | | | | |
| |
Articles (published):
|
| Box |
| 4.9/86-44/15 | | | Bibliography |
| | | Reprints (reprints follow order of the bibliography: not
strictly chronological): |
| | | | 1925-28 |
| | | | 1929 |
| | | | 1930 |
| | | | 1928-33 |
| Box |
| 4.9/86-44/16 | | | | 1937 |
| | | | 1938 |
| | | | 1939-49 |
| | | | 1948-54, 1957 |
| | | | 1955-60 |
| | | | 1959, 1964 |
| Box |
| 4.9/86-44/17 | | | | 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) |
Return to the Table of Contents
| | | | | | | | | | | | | |
| |
Articles (unpublished):
|
| Box |
| 4.9/86-44/17 | | | Frechet integrals, Vitali-Hahn-Saks theorem, abstract
Riemann integrals |
| Box |
| 4.9/86-44/18 | | | Algebra |
| | | On generalized Cantor-extension device in abstract fields
(with S. Nikodym),
1954 |
| | | Remarks on formal structure of mathematics |
Return to the Table of Contents
| | | | | | | | | | | | | |
| |
Lectures:
|
| Box |
| 4.9/86-44/18 | | | Correspondence, announcements,
1946-70 |
| Box |
| 184.9/86-44/ | | | Advanced lectures at Kenyon: |
| Box |
| 4.9/86-44/18 | | | | Projective geometry |
| | | | Topology, geometry, and other topics |
| | | Lecture at DeBroglie's seminar on Jacobi's theory
concerning movement of a material point |
| Box |
| 4.9/86-44/19 | | | Lectures on measure theory, Naples
(1965) |
| Box |
| 24.9/86-44/0 | | | Popular lectures on logic |
| Box |
| 4.9/86-44/20 | | | "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 |
| Oversize 1 | | | Wall charts on quantum theory work |
Return to the Table of Contents
| | | | | | | | | | | | | |
| |
Grants:
|
| Box |
| 4.9/86-44/20 | | | National Science Foundation, correspondence, applications,
reports |
| | | | 1953-64 |
| | | | 1965-72 |
| | | Other agencies, correspondence, applications,
1952-69 |
Return to the Table of Contents
| | | | | | | | | | | | | |
| |
Subject files and notes:
|
| Box |
| 4.9/86-44/20 | | | Bibliographies: |
| | | | Boolean tribes, Orderings and lattices, Measure
integrals |
| Box |
| 4.9/86-44/21 | | | | 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 |
| 4.9/86-44/22 | | | | Research notes (unidentified) |
Return to the Table of Contents
| | | | | | | | | | | | | |
| |
Personal:
|
| Box |
| 4.9/86-44/22 | | | Biographical items, curriculum vitae, newspaper
clippings |
| | | Official documents, financial records, addresses,
notes |
| | | Organization memberships (with correspondence),
1947-67 |
| Box |
| 4.9/86-44/23 | | | Paintings by S. Nikodym |
| Box |
| Oversize 1 | | | Paintings by S. Nikodym |
| Box |
| 4.9/86-44/23 | | | The Rape of Cinderella, by Eugene Paul Nassar (dedicated
to O. M. Nikodym) |
Return to the Table of Contents
| | | | | | | | | | | | | |
| |
Publications by others:
|
| Box |
| 4.9/86-44/23 | | | Reprints: |
| | | | A - C |
| | | | D - G |
| | | | H - J |
| Box |
| 4.9/86-44/24 | | | | 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. |
Return to the Table of Contents
| | | | | | | | | | | | | |
| |
At Sid Richardson Hall:
|
| Box |
| 4RM51 | | | Photographs, ca. 1947-1964 and undated |
Return to the Table of Contents
|
