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Invitation to ergodic theory

Author: César Ernesto Silva
Publisher: Providence, R.I. : American Mathematical Society, ©2008.
Series: Student mathematical library, v. 42.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
"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
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Details

Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: César Ernesto Silva
ISBN: 9780821844205 0821844202
OCLC Number: 179827940
Description: ix, 262 pages : illustrations ; 22 cm.
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.
Series Title: Student mathematical library, v. 42.
Responsibility: C.E. Silva.
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Abstract:

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  Read more...

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