Hindustan Book Agency 2013; 196 pp; hardcover ISBN13: 9789380250434 List Price: US$48 Member Price: US$38.40 Order Code: HIN/58
 This is an introductory text on ergodic theory. The presentation has a slow pace, and the book can be read by anyone 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, and the theorem of Ambrose on representation of flows, are treated at the descriptive settheoretic level before their measuretheoretic or topological versions are presented. In addition, topics centering around the GlimmEffros theorem, which have so far not found a place in texts on ergodic theory, are discussed in this book. The third edition has, among other improvements, a new chapter on additional topics that include Liouville's theorem of classical mechanics, the basics of Shannon Entropy and the KolmogorovSinai theorem, and van der Waerden's theorem on arithmetical progressions. A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society. Maximum discount of 20% for all commercial channels. Readership Graduate students and research mathematicians interested in ergodic theory. Table of Contents  The Poincaré recurrence lemma
 Ergodic theorems of Birkhoff and von Neumann
 Ergodicity
 Mixing conditions and their characterisations
 Bernoulli shift and related concepts
 Discrete spectrum theorem
 Induced automorphisms and related concepts
 Borel automorphisms are Polish homeomorphisms
 The GlimmEffros theorem
 Hopf's theorem
 H. Dye's theorem
 Flows and their representations
 Additional topics
 Bibliography
 Index
