This book is an introduction to basic concepts in ergodic theory such as recurrence, ergodicity, the ergodic theorem, mixing, and weak mixing. It does not assume knowledge of measure theory; all the results needed from measure theory are presented from scratch. In particular, the 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. It also develops the Lebesgue theory of integration, including the dominated convergence theorem and an introduction to the Lebesgue $Lp$spaces.
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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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