Guide to the M. M. Schiffer Papers

Patricia White & Jenny Johnson
Stanford University Libraries. Dept. of Special Collections & University Archives.
Stanford, California
2002
Copyright © 2015 The Board of Trustees of the Leland Stanford Junior University. All rights reserved.

Note

This encoded finding aid is compliant with Stanford EAD Best Practice Guidelines, Version 1.0.


Overview

Call Number: SC0654
Creator: Schiffer, M. M.
Title: M. M. Schiffer Papers
Dates: 1953-1979
Physical Description: 4 Linear feet
Summary: Book chapter, articles, lectures, and some correspondence dating from Schiffer's tenure at Stanford University.
Language(s): The materials are in English.
Repository: Dept. of Special Collections & University Archives.
Stanford University Libraries.
557 Escondido Mall
Stanford, CA 94305-6064
Email: speccollref@stanford.edu
Phone: (650) 725-1022
URL: http://library.stanford.edu/spc

Administrative Information

Provenance

Transfer from Mathematics Library, 2002

Information about Access

There are no restrictions on access.

Ownership & Copyright

Property rights reside with the repository. Literary rights reside with the creators of the documents or their heirs. To obtain permission to publish or reproduce, please contact the Public Services Librarian of the Dept. of Special Collections and University Archives.

Cite As

M.M. Schiffer Papers (SC0654). Dept. of Special Collections and University Archives, Stanford University Libraries, Stanford, Calif.

Biography

M. M. Schiffer was considered an authority on complex variables and conformal mapping; his special province was the application of these fields to mathematical physics, particularly to hydrodynamics. A native of Berlin, Schiffer earned his undergraduate degree at Friedrich-Wilhelm University in 1930 and pursued his graduate work at the Hebrew University in Jerusalem, earning his Ph.D. in 1938. He taught there until 1946, when he moved to the United States and subsequently taught at Harvard and Princeton. He joined the Stanford faculty in 1952, serving as executive head of the Mathematics Department from 1954 to 1959. In 1967 Schiffer was appointed to the Robert Grimmett Professorship of Mathematics, a position he held until his retirement in 1977. While at Stanford he was involved in the School Mathematics Study Group and co-authored many technical reports for the Applied Mathematics and Statistics Laboratory. He died in 1997.

Collection Scope and Content Summary

These papers date from his tenure at Stanford University and consist largely of manuscripts and typescripts of book chapters, articles, and lectures. Topics include conformal mapping, relativity, differential equations, functions of complex variables, and mathematical physics. Other items include research notes and letters from Robert W. Fuller, Nicolai Minorsky, and J. G. Van der Corput.

Access Terms

Corput, J. G. van der (Johannes Gualtherus), b. 1890.
Fuller, Robert W.
Minorsky, Nicolai, 1885-
Conformal mapping.
Functions of complex variables.
General relativity (Physics)--Mathematics.
Mathematics--Scientific applications.
Mathematics.


 

Book Chapters

Box 1, Folder 1

Chapter 3 Tensor analysis

Box 1, Folder 2

Chapter 4 Tensors in physics

Box 1, Folder 3

Chapter 5 The gravitational field equations in free space

Box 1, Folder 4

Chapter 6 The Schwarzschild solution and its consequences: experimental tests of general relativity

Box 1, Folder 5

Chapter 10 [no title]

Box 1, Folder 6

Chapter 11 Cosmology and astronomy

Box 1, Folder 7

Chapter [11] Cosmology and astronomy

Box 1, Folder 8

Chapter 12 Cosmological models

Box 1, Folder 9

Chapter [12] Cosmological models

Box 1, Folder 10

Chapter 13 Electromagnetism and general relativity

Box 1, Folder 11

Bibliographies for the chapters

Box 1, Folder 12

Table of contents; part of chapter 13

Box 1, Folder 13

Assorted additions to chapters

Box 1, Folder 14

Chapter 1 Phase plane; singular points (1956)

Box 1, Folder 15

Chapter 2 Conservative systems

Box 1, Folder 16

Chapter 3 Limit cycles of Poincare

Box 1, Folder 17

Chapter 4 Geometric analysis of periodic solutions

Box 1, Folder 18

Chapter 5 Stability (variational equations; characteristic exponents)

Box 1, Folder 19

Chapter 6 Stability (Liapounov)

Box 1, Folder 20

Chapter 7 Theory of bifurcations

Box 2, Folder 1

Chapter 8 Cylindrical and toroidal phase spaces

Box 2, Folder 2

Chapter 9 Methods of solutions by series

Box 2, Folder 3

Chapter 10 Periodic solutions

Box 2, Folder 4

Chapter 11 Determination of characteristic exponents

Box 2, Folder 5

Chapter 12 Asymptotic methods

Box 2, Folder 6

Chapter 13 Asymptotic methods of Kryloff - Bogolinboff

Box 2, Folder 7

Chapter 14 Stroboscopic method

 

Other Writings

Box 2, Folder 8

Applications of variational methods in the theory of conformal mapping - tss and correspondence 1955-56

Box 2, Folder 9

Applications of variational methods in the theory of conformal mapping - mss

Box 2, Folder 10

Calculus - mss, not in Schiffer's hand

Box 2, Folder 11

Complex analysis I. Stanford - mss 1979

Box 2, Folder 12

Conformal mapping. Stanford (1 of 3) - mss 1960

Box 2, Folder 13

Conformal mapping. Stanford (2 of 3) - mss 1960

Box 2, Folder 14

Conformal mapping. Stanford (3 of 3) - mss 1960

Box 3, Folder 1

Differentiable and sense preserving mappings - mss

Box 3, Folder 2

Differential and integral calculus. Stanford - mss 1955

Box 3, Folder 3

External problems on doubly connected domains - mss

Box 3, Folder 4

Fredholm Eigen Values of Plane Domains, Pacific Journal of Mathematics, Vol. 7, No. 2, 1957

Box 3, Folder 5

Fredholm Eigenvalues and conformal mapping of multiply connected domains (Schiffer and G. Springer) - tss

Box 3, Folder 6

Function of a complex variable I. Stanford - mss 1960

Box 3, Folder 7

Function of a complex variable. Stanford (1 of 2) - mss 1964

Box 3, Folder 8

Function of a complex variable. Stanford (2 of 2) - mss 1964

Box 3, Folder 9

Galois theory. Stanford Spring Quarter [possibly a lecture] - mss 1954

Box 3, Folder 10

Introduction to general relativity. Stanford (1 of 2) - mss 1979

Box 3, Folder 11

Introduction to general relativity. Stanford (2 of 2) - mss 1979

Box 3, Folder 12

Mathematical methods of physics. Stanford - mss 1963

Box 4, Folder 1

Miscellaneous manuscripts: period matrix; section 2 distortion theorems - mss

Box 4, Folder 2

On the fourth coefficient of bounded univalent functions (Schiffer and O. Tammi) - mss, not in Schiffer's hand

Box 4, Folder 3

Ordinary differential equations. Stanford - mss 1953

Box 4, Folder 4

Partial Differential Equations of the elliptic type - tss

Box 4, Folder 5

Partial Differential Equations of the elliptic type - tss

Box 4, Folder 6

Perspectives in mathematics. Stanford - mss 1972

Box 4, Folder 7

QC mappings, chapters on - tss

Box 4, Folder 8

Some consequences of the Riemann-Roch theorem - mss

Box 4, Folder 9

Theory of analytic functions. Stanford - mss 1975

Box 4, Folder 10

Theory of the second (?) variation - mss

Box 4, Folder 11

Variation of domain functionals. Pasadena, - mss 1953

 

Research Notes

Box 5, Folder 1

Miscellaneous: formulas

Box 5, Folder 2

Notes: A non-local estimate for A5

Box 5, Folder 3

Notes and reprint, The Local Maximum Theorem for the Coefficients of Univalent Functions (P. R. Garabedian and Schiffer), Archive for Rational Mechanics and Analysis, Vol. 26, No. 1, 1967

Box 5, Folder 4

Notes and reprints, Pederson, Roger N. On Unitary Properties of Grunsky's Matrix, Archive for Rational Mechanics and Analysis, Vol. 29, No. 5, 1968; On the Bieberbach Conjecture for Even n (Garabedian, Ross & Schiffer), Journal of Mathematics and Mechanics, Nov. 14, No. 6, 1965

Box 5, Folder 5

Notes 1

Box 5, Folder 6

Notes 2

Box 5, Folder 7

Notes 3

Box 5, Folder 8

Notes 4

 

Correspondence and Miscellaneous

Box 5, Folder 9

Fuller, Robert W. - letter, 1963

Box 5, Folder 10

Minorsky, Nicolai - correspondence and text, 1955

Box 5, Folder 11

Minorsky, Nicolai - correspondence, 1958

Box 5, Folder 12

Van der Corput, J. G. - letter, 1958

Box 5, Folder 13

Schiffer, Dinah - "You" [personal information on Schiffer as a child]

 

Accession ARCH.2015-049 Additional Materials: Book Chapters

Box 1, Folder 1

Physical Model for Conformal Mapping I (Handwritten)

Box 1, Folder 2

Physical Model for Conformal Mappings I

Box 1, Folder 3

Physical Model for Conformal Mappings I

Box 1, Folder 4

Potential Theory in the Plane II (Handwritten)

Box 1, Folder 5

Potential Theory in the Plane II

Box 1, Folder 6

Transfinite Diameter and Lemniscates III (Handwritten)

Box 1, Folder 7

Transfinite Diameter and Lemniscates III

Box 1, Folder 8

Normal Families; Riemann's Mapping Theorem IV (Handwritten)

Box 1, Folder 9

Normal Families; Riemann's Mapping Theorem IV

Box 1, Folder 10

Normal Families; Riemann's Mapping Theorem IV

Box 1, Folder 11

Techniques and Applications of Conformal Mapping V (Handwritten)

Box 1, Folder 12

Techniques and Applications of Conformal Mapping V

Box 1, Folder 13

Conformal Mapping at the Boundary VI

Box 1, Folder 14

Conformal Mapping at the Boundary VI

Box 1, Folder 15

The Elementary Theory of Univalent Functions VII (Handwritten)

Box 1, Folder 16

Elementary Theory of Univalent Functions VII

Box 1, Folder 17

Kernel Functions and Their Properties VIII (Handwritten)

Box 1, Folder 18

Kernel Function and Their Properties VIII

Box 1, Folder 19

Applications of the Kernel Functions to Conformal Mapping IX (Handwritten)

Box 1, Folder 20

Applications of the Kernel Functions to Conformal Mapping IX

Box 1, Folder 21

Variational Methods in Conformal Mapping X (Handwritten)

Box 1, Folder 22

Extremum Problems in Conformal Mappings XI (Handwritten)

Box 1, Folder 23

The Lowner Differential Equation XIV

Box 1, Folder 24

Variations within Special Families of Univalent Functions XV

Box 1, Folder 25

Plates