C. C. MacDuffee

The Theory of Matrices

Matrix algebra underlies many seemingly diverse theories of mathematics, and this volume
offers an overview of its many applications, discussing topics of extensive research and supplying
brief and elegant proofs.

Contents: I. Matrices, Arrays and Determinants. II. The Characteristic Equation. III. Associated Integral
Matrices. IV. Equivalence. V. Congruence. VI. Similarity. VII. Composition of Matrices. VIII. Matric Equations.
IX Functions of Matrices. X. Matrices of Infinite Order.

Unabridged republication of the edition published by Chelsea Publishing Company, New York,1946.

128pp.
61/2 x 91/4 (16.5 cm. x 23.5 cm.)
0-486-49590-6
July 2004

R. Le Lionnais

Great Currents of Mathematical Thought
Volume I: Mathematics: Concepts and Development
Volume II: Mathematics in the Arts and Sciences

The work of 40 eminent French scholars, this monumental compendium of mathematical
ideas was introduced to the English-speaking world with the 1962 Dover translation. Fifty stimulating
essays based on mathematical thought and imagination address aspects of philosophy,
architecture, political science, sociology, and a diverse array of other fields.

Contents Volume I: I. The Temple of Mathematics. 1. Structure. 2. Disciplines. II. The Mathematical Epic.
1. The Past. 2. The Present. 3. The Future.
Contents Volume II: III. Influences. 1. Mathematics and the Human Intellect. 2. Mathematics and Philosophy.
3. Truth and Reality. 4. Art and Esthetics. 5. Mathematics and Technology. 6. Mathematics and Civilization.
Appendix.

Unabridged republication of the first English translation, originally published by Dover in
1971, of the 1962 enlarged edition of Les Grands Courants de la Pensee Mathmatique.

Volume I
368pp.
55/8 x 81/2 (14.3 cm. x 21.6 cm.)
0-486-49578-7
May 2004
Volume II
288pp.
55/8 x 81/2 (14.3 cm. x 21.6 cm.)
0-486-49579-5
May 2004

Wilhelm Magnus and Stanley Winkler

Hill's Equation

This concise treatment of Hill's equation-a theory with hundreds of applications in many
areas of engineering and physics-presents the most pertinent and necessary facts with minimal
use of sophisticated mathematics.

Contents: I. General Theory. 1. Basic Concepts. 2. Characteristic Values and Discriminant. II. Details. 3. Elementary
Formulas. 4. Oscillatory Solutions. 5. Intervals of Stability and Instability. 6. Discriminant. 7. Coexistence.
8. Examples. List of Symbols and Notations. List of Theorems, Lemmas, and Corollaries. References.
Index.

Unabridged, corrected publication of the edition published by Interscience Publishers, New York, 1966.

138pp.
55/8 x 81/2 (14.3 cm. x 21.6 cm.)
0-486-49565-5
February 2004

Percy A. MacMahon

Combinatory Analysis

These texts offer mathematicians and students an account of the theorems in combinatory
analysis, showing their connections and bringing them together as parts of a general doctrine.

Partial contents: Symmetric Functions. Generalization of the Theory of Symmetric Functions. Permutations.
Theory of the Compositions of Numbers. Distributions Upon a Chess Board, to which Is Prefixed a
Chapter on Perfect Partitions. The Enumeration of the Partitions of Multipartite Numbers.

Unabridged republication of two works combined in one volume: An Introduction to Combinatory
Analysis, published by Cambridge University Press, 1920, and Combinatory Analysis, originally
published in two volumes, Cambridge University Press, Cambridge, England, 1915, 1916.

768pp.
55/8 x 81/2 (14.3 cm. x 21.6 cm.)
0-486-49586-8
August 2004

Thomas L. Saaty

Mathematical Methods of Operations Research

The first graduate-level text devoted to the subject, this volume offers a concise history and
overview of methods as well as an excellent exposition of the mathematical foundations
underlying classical operations research procedures.

Contents: Operations Research-history and Concepts. 1. Scientific Method-Truth; Mathematics and
Logic-Validity; Outlines of Some Useful Mathematical Models. 2. Optimization, Programming, and Game
Theory. 3. Probability, Applications, Statistics, and Queuing Theory. 4. An Essay. 5. Decision Making. Indexes.

Unabridged republication of the edition published by McGraw-Hill Book Company, Inc., New York, 1959.

480pp.
55/8 x 81/2 (14.3 cm. x 21.6 cm.)
0-486-49569-8
February 2004

S. M. Ulam

Problems in Modern Mathematics

A distinguished mathematician considers problems in several fields of mathematics, many of
them easy to state and comprehend, and most of them previously unpublished.

Contents: I. Set Theory. II. Algebraic Problems. III. Metric Spaces. IV. Topological Spaces. V. Topological
Groups. VI. Some Questions in Analysis. VII. Physical Systems. VIII. Computing Machines as a Heuristic Aid.
Bibliography.
Unabridged republication of the edition published by John Wiley & Sons, Inc., New York, 1964.

176pp.
55/8 x 81/2 (14.3 cm. x 21.6 cm.)
0-486-49583-3
July 2004

A. M. Yaglom

An Introduction to the Theory of Stationary Random Functions
Translated and Edited by Richard A. Silverman

Of value both to students and to professionals engaged solving stochastic problems, this volume
elucidates the basic role of stationary random functions in modern engineering and
applied physics.

Contents: I. The General Theory of Stationary Random Functions. 1. Basic Properties of Stationary Random
Functions. 2. Examples of Stationary Random Functions. Spectral Representations. 3. Further Development
of the Correlation Theory of Random Functions. II. Linear Extrapolation and Filtering of Stationary
Random Functions. 4. Linear Extrapolation of Stationary Random Sequences. 5. Linear Filtering of Stationary
Random Sequences. 6. Linear Extrapolation of Stationary Random Processes. 7. Linear Filtering of
Stationary Random Processes. 8. Further Development of the Theory of Extrapolation and Filtering.
Appendixes. Bibliographies. Indexes.

Unabridged republication of the 1962 revised, updated edition, originally published by Prentice-
Hall, Inc., Englewood Cliffs, New Jersey.

256pp.
55/8 x 81/2 (14.3 cm. x 21.6 cm.)
0-486-49571-X
February 2004