Pure and Applied Mathematics

A Series of Monographs and Textbooks

Editors Samuel Eilenberg and Hyrnan Baas

Columbia University, New York

RECENT TITLES

GLEN E. BREDON. Introduction to Compact Transformation Groups
WERNER GREUB, STEPHEN HALPERIN, AND RAY VAN STONE. Connections, Curvature, and
Cohomology: Volume I, De Rham Cohomology of Manifolds and Vector Bundles. Vol-
ume II, Lie Groups, Principal Bundles, and Characteristic Classes. In preparation:
Volume III, Cohomology of Principal Bundles and Homogeneous Spaces
XIA DAO-XING. Measure and Integration Theory of Infmite-rDimensional Spaces:
Abstract Harmonic Analysis

RONALD G. DOUGLAS. Banach Algebra Techniques in Operator Theory
WILLARD MILLER, JR. Symmetry Groups and Their Applications

ARTHUR A. SAGLE AND RALPH E. WALDE. Introduction to Lie Groups and Lie Algebras
T. BENNY RUSHING. Topological Embeddings

JAMES W. VICK. Honiology Theory : An Introduction to Algebraic Topology
E. R. KOLCHIN. Differential Algebra and Algebraic Groups
GERALD J. JANUSZ. Algebraic Number Fields
A. S. B. HOLLAND. Introduction to the Theory of Entire Functions
WAYNE ROBERTS AND DALE VARBERG. Convex Functions

A. M. OSTROWSKI. Solution of Equations in Euclidean and Banach Spaces, Third Edition
of Solution of Equations and Systems of Equations
H. M. EDWARDS. Riemaim's Zeta Function

SAMUEL EILENBERG. Automata, Languages, and Machines: Volume A. In preparation:
Volume B

MORRIS HIRSCH AND STEPHEN SMALE. Differential Equations, Dynamical Systems, and
Linear Algebra

WILHELM MAGNUS. Noneuclidean Tesselations and Their Groups
J. DIEUDONNE. Treatise on Analysis, Volume IV

In preparation

FRANCOIS TREVES. Basic Linear Partial Differential Equations

WILLIAM M. BOOTHBY. An Introduction to Differentiable Manifolds and Riemannian

Geometry

BRAYTON GRAY. Homotopy Theory : An Introduction to Algebraic Topology

ROBERT A. ADAMS. Sobolev Spaces

D. V. WIDDER. The Heat Equation

IRVING E. SEGAL, Mathematical Cosmology and Extragalactic Astronomyon tensor,