# Guide to the M. M. Schiffer Papers

**Note**

**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.

**
Collection Scope and Content Summary
**

# Collection Contents

**Book Chapters**

**Chapter 3 Tensor analysis**

**Chapter 4 Tensors in physics**

**Chapter 5 The gravitational field equations in free space**

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

**Chapter 10 [no title]**

**Chapter 11 Cosmology and astronomy**

**Chapter [11] Cosmology and astronomy**

**Chapter 12 Cosmological models**

**Chapter [12] Cosmological models**

**Chapter 13 Electromagnetism and general relativity**

**Bibliographies for the chapters**

**Table of contents; part of chapter 13**

**Assorted additions to chapters**

**Chapter 1 Phase plane; singular points**
**(1956)**

**Chapter 2 Conservative systems**

**Chapter 3 Limit cycles of Poincare**

**Chapter 4 Geometric analysis of periodic solutions**

**Chapter 5 Stability (variational equations; characteristic exponents)**

**Chapter 6 Stability (Liapounov)**

**Chapter 7 Theory of bifurcations**

**Chapter 8 Cylindrical and toroidal phase spaces**

**Chapter 9 Methods of solutions by series**

**Chapter 10 Periodic solutions**

**Chapter 11 Determination of characteristic exponents**

**Chapter 12 Asymptotic methods**

**Chapter 13 Asymptotic methods of Kryloff - Bogolinboff**

**Chapter 14 Stroboscopic method**

**Other Writings**

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

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

**Calculus - mss, not in Schiffer's hand**

**Complex analysis I. Stanford - mss**
**1979**

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

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

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

**Differentiable and sense preserving mappings - mss**

**Differential and integral calculus. Stanford - mss**
**1955**

**External problems on doubly connected domains - mss**

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

**1957**

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

**Function of a complex variable I. Stanford - mss**
**1960**

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

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

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

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

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

**Mathematical methods of physics. Stanford - mss**
**1963**

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

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

**Ordinary differential equations. Stanford - mss**
**1953**

**Partial Differential Equations of the elliptic type - tss**

**Partial Differential Equations of the elliptic type - tss**

**Perspectives in mathematics. Stanford - mss**
**1972**

**QC mappings, chapters on - tss**

**Some consequences of the Riemann-Roch theorem - mss**

**Theory of analytic functions. Stanford - mss**
**1975**

**Theory of the second (?) variation - mss**

**Variation of domain functionals. Pasadena, - mss**
**1953**

**Research Notes**

**Miscellaneous: formulas**

**Notes: A non-local estimate for A5**

**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
**

**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
**

**Notes 1**

**Notes 2**

**Notes 3**

**Notes 4**

**Correspondence and Miscellaneous**

**Fuller, Robert W. - letter,**
**1963**

**Minorsky, Nicolai - correspondence and text,**
**1955**

**Minorsky, Nicolai - correspondence,**
**1958**

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

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

Accession ARCH.2015-049
**Additional Materials: Book Chapters**

**Physical Model for Conformal Mapping I (Handwritten)**

**Physical Model for Conformal Mappings I**

**Physical Model for Conformal Mappings I**

**Potential Theory in the Plane II (Handwritten)**

**Potential Theory in the Plane II**

**Transfinite Diameter and Lemniscates III (Handwritten)**

**Transfinite Diameter and Lemniscates III**

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

**Normal Families; Riemann's Mapping Theorem IV**

**Normal Families; Riemann's Mapping Theorem IV**

**Techniques and Applications of Conformal Mapping V (Handwritten)**

**Techniques and Applications of Conformal Mapping V**

**Conformal Mapping at the Boundary VI**

**Conformal Mapping at the Boundary VI**

**The Elementary Theory of Univalent Functions VII (Handwritten)**

**Elementary Theory of Univalent Functions VII**

**Kernel Functions and Their Properties VIII (Handwritten)**

**Kernel Function and Their Properties VIII**

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

**Applications of the Kernel Functions to Conformal Mapping IX**

**Variational Methods in Conformal Mapping X (Handwritten)**

**Extremum Problems in Conformal Mappings XI (Handwritten)**

**The Lowner Differential Equation XIV**

**Variations within Special Families of Univalent Functions XV**

**Plates**