AMS Chelsea Publishing 1956; 99 pp; hardcover Volume: 142 ISBN10: 0821841254 ISBN13: 9780821841259 List Price: US$26 Member Price: US$23.40 Order Code: CHEL/142.H
 This classic book is based on lectures given by the author at the University of Chicago in 1956. The topics covered include, in particular, recurrence, the ergodic theorems, and a general discussion of ergodicity and mixing properties. There is also a general discussion of the relation between conjugacy and equivalence. With minimal prerequisites of some analysis and measure theory, this work can be used for a onesemester course in ergodic theory or for selfstudy. Readership Graduate students and research mathematicians interested in number theory. Table of Contents  Introduction
 Examples
 Recurrence
 Mean convergence
 Pointwise convergence
 Comments on the ergodic theorem
 Ergodicity
 Consequences of ergodicity
 Mixing
 Measure algebras
 Discrete spectrum
 Automorphisms of compact groups
 Generalized proper values
 Weak topology
 Weak approximation
 Uniform topology
 Uniform approximation
 Category
 Invariant measures
 Invariant measures: the solution
 Invariant measures: the problem
 Generalized ergodic theorems
 Unsolved problems
 References
