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Invitation to ergodic theory / C.E. Silva.

By: Material type: TextTextSeries: Student mathematical library ; v 42.Publication details: Providence : American Mathematical Society, 2012.Description: ix, 262 p. : ill. ; 22 cmISBN:
  • 9780821887332
Subject(s): DDC classification:
  • 515.48 23 Si586
Contents:
Ch. 1. Introduction -- Ch. 2. Lebesgue measure -- Ch. 3. Recurrence and ergodicity -- Ch. 4. The Lebesgue integral -- Ch. 5. The ergodic theorem -- Ch. 6. Mixing notions -- App. A. Set notation and the completeness of R -- App. B. Topology of R and metric spaces-- Bibliographical notes-- Bibliography-- Index.
Summary: This book provides an introduction to the growing field of ergodic theory, also known as measurable dynamics. It covers topics such as recurrence, ergodicity, the ergodic theorem and mixing. It is aimed at students who have completed a basic course in undergraduate real analysis covering topics such as basic compactness properties and open and closed sets in the real line.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 515.48 Si586 (Browse shelf(Opens below)) Available 136292
Total holds: 0

Includes bibliographical references and index.

Ch. 1. Introduction --
Ch. 2. Lebesgue measure --
Ch. 3. Recurrence and ergodicity --
Ch. 4. The Lebesgue integral --
Ch. 5. The ergodic theorem --
Ch. 6. Mixing notions --
App. A. Set notation and the completeness of R --
App. B. Topology of R and metric spaces--
Bibliographical notes--
Bibliography--
Index.

This book provides an introduction to the growing field of ergodic theory, also known as measurable dynamics. It covers topics such as recurrence, ergodicity, the ergodic theorem and mixing. It is aimed at students who have completed a basic course in undergraduate real analysis covering topics such as basic compactness properties and open and closed sets in the real line.

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