TY - BOOK AU - Silva,C.E. TI - Invitation to ergodic theory T2 - Student mathematical library SN - 9780821887332 U1 - 515.48 23 PY - 2012/// CY - Providence PB - American Mathematical Society KW - Ergodic theory N1 - 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 N2 - 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 ER -