This book presents the fundamentals of ergodic theory as well as selected advanced topics.
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'What the contents list does not prepare you for is the very high standard of exposition. The scholarship involved in this work will be appreciated by workers in the field and by generations of research students. I personally think this is an excellent book. It is a book which can be explored at leisure and has a place in the library of anyone with a more than passing interest in ergodic theory.' Bulletin of the London Mathematical Society
' ... an excellent introduction to several areas which are of interest both from the point of view of the mathematical scholar and from that of the research mathematician.' American Scientist
The study of dynamical systems forms a vast and rapidly developing field, This book introduces the four aspects of ergodic theory ñ examples, convergence theorems, recurrence properties and entropy. These receive first a basic, then a more advanced treatment, with the discussion of several advanced topics that are currently undergoing research.
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Paperback. Condition: new. Paperback. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521389976