Ergodic Theory
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Part of Cambridge Studies in Advanced Mathematics
- Author: Karl E. Petersen, University of North Carolina, Chapel Hill
- Date Published: September 1990
- availability: Available
- format: Paperback
- isbn: 9780521389976
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The author presents the fundamentals of the ergodic theory of point transformations and several advanced topics of intense research. The study of dynamical systems forms a vast and rapidly developing field even when considering only activity whose methods derive mainly from measure theory and functional analysis. Each of the basic aspects of ergodic theory--examples, convergence theorems, recurrence properties, and entropy--receives a basic and a specialized treatment. The author's accessible style and the profusion of exercises, references, summaries, and historical remarks make this a useful book for graduate students or self study.
Reviews & endorsements
"For an introduction and general survey, Petersen's book is an excellent choice." Nathaniel Friedman, Mathematical Reviews
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×Product details
- Date Published: September 1990
- format: Paperback
- isbn: 9780521389976
- length: 344 pages
- dimensions: 229 x 152 x 20 mm
- weight: 0.51kg
- availability: Available
Table of Contents
Preface
1. Introduction and preliminaries
2. The fundamentals of ergodic theory
3. More about almost everywhere convergence
4. More about recurrence
5. Entropy
6. More about entropy
References
Index.
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