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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.
Nákup knihy
Ergodic Theory, Karl Endel Petersen
- Jazyk
- Rok vydania
- 1983
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- Titul
- Ergodic Theory
- Jazyk
- anglicky
- Autori
- Karl Endel Petersen
- Vydavateľ
- Cambridge University Press
- Rok vydania
- 1983
- Väzba
- pevná
- Počet strán
- 329
- ISBN10
- 0521236320
- ISBN13
- 9780521236324
- Série
- Anotácia
- 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.