Book Details
Format
Hardback or Cased Book
Book Series
Texts and Readings in Mathematics
ISBN-10
9380250436
ISBN-13
9789380250434
Edition
Third Edition
Publisher
Hindustan Book Agency
Imprint
Hindustan Book Agency
Country of Manufacture
IN
Country of Publication
GB
Publication Date
Jan 30th, 2013
Print length
224 Pages
Weight
504 grams
Dimensions
24.80 x 16.40 x 2.00 cms
Product Classification:
Topology
Ksh 7,200.00
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It gives Liouville's Theorem on the existence of invariant measure, entropy theory leading up to Kolmogorov-Sinai Theorem, and the topological dynamics proof of van der Waerden's theorem on arithmetical progressions.
This is an introductory book on Ergodic Theory. The presentation has a slow pace and the book can be read by any person with a background in basic measure theory and metric topology. A new feature of the book is that the basic topics of Ergodic Theory such as the Poincaré recurrence lemma, induced automorphisms and Kakutani towers, compressibility and E. Hopf's theorem, the theorem of Ambrose on representation of flows are treated at the descriptive set-theoretic level before their measure-theoretic or topological versions are presented. In addition, topics around the Glimm-Effros theorem are discussed. In the third edition a chapter entitled `Additional Topics' has been added. It gives Liouville's Theorem on the existence of invariant measure, entropy theory leading up to Kolmogorov-Sinai Theorem, and the topological dynamics proof of van der Waerden's theorem on arithmetical progressions.
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