Silva introduces ergodic theory, or measurable dynamics, to upper-level undergraduate mathematics students who have completed a basic course in real analysis. He does not assume knowledge of measure theory, and develops it as needed. Among the topics are recurrence, ergodicity, the ergodic theorem, and mixing. Annotation ©2008 Book News, Inc., Portland, OR (booknews.com)
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The writing is crisp and clear. Proofs are written carefully with adequate levels of detail. Exercises are plentiful and well-integrated with the text. --MAA Reviews
I can only warmly recommend this book to students or as the basis for a course. --Monatshafte für Mathematik
The author presents in a very pleasant and readable way an introduction to ergodic theory for measure-preserving transformations of probability spaces. In my opinion, the book provides guidelines, classical examples and useful ideas for an introductory course in ergodic theory to students that have not necessarily already been taught Lebesgue measure theory. --Elemente der Mathematik
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Condition: New. Gives an introduction to basic concepts in ergodic theory such as recurrence, ergodicity, the ergodic theorem, mixing, and weak mixing. In particular, this book includes a detailed construction of the Lebesgue measure on the real line and an introduction to measure spaces up to the Caratheodory extension theorem. Series: Student Mathematical Library. Num Pages: 260 pages, Illustrations. BIC Classification: PBK. Category: (UU) Undergraduate. Dimension: 213 x 142 x 15. Weight in Grams: 322. . 2007. Paperback. . . . . Seller Inventory # V9780821844205
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Condition: New. Gives an introduction to basic concepts in ergodic theory such as recurrence, ergodicity, the ergodic theorem, mixing, and weak mixing. In particular, this book includes a detailed construction of the Lebesgue measure on the real line and an introduction to measure spaces up to the Caratheodory extension theorem. Series: Student Mathematical Library. Num Pages: 260 pages, Illustrations. BIC Classification: PBK. Category: (UU) Undergraduate. Dimension: 213 x 142 x 15. Weight in Grams: 322. . 2007. Paperback. . . . . Books ship from the US and Ireland. Seller Inventory # V9780821844205
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