LEADER 02160nam 22004215 450 001 9910437870403321 005 20250717131824.0 010 $a93-86279-53-3 010 $a93-80250-43-6 024 7 $a10.1007/978-93-86279-53-8 035 $a(CKB)2560000000324795 035 $a(DE-He213)978-93-86279-53-8 035 $a(MiAaPQ)EBC5394691 035 $a(PPN)203672313 035 $a(EXLCZ)992560000000324795 100 $a20170720d2013 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aBasic ergodic theory /$fby M. G. Nadkarni 205 $a3rd ed. 2013. 210 1$aGurgaon :$cHindustan Book Agency :$cImprint: Hindustan Book Agency,$d2013. 215 $a1 online resource (196 p.) 225 1 $aTexts and Readings in Mathematics ;$v6 330 $aThis is an introductory book on Ergodic Theory. The presentation has a slow pace and the book can be read by any person with a background in basic measure theory and metric topology. A new feature of the book is that the basic topics of Ergodic Theory such as the Poincare recurrence lemma, induced automorphisms and Kakutani towers, compressibility and E. Hopf's theorem, the theorem of Ambrose on representation of flows are treated at the descriptive set-theoretic level before their measure-theoretic or topological versions are presented. In addition, topics around the Glimm-Effros theorem are discussed. In the third edition a chapter entitled 'Additional Topics' has been added. It gives Liouville's Theorem on the existence of invariant measure, entropy theory leading up to Kolmogorov-Sinai Theorem, and the topological dynamics proof of van der Waerden's theorem on arithmetical progressions. 410 0$aTexts and Readings in Mathematics ;$v6 606 $aMathematics 606 $aMathematics 615 0$aMathematics. 615 14$aMathematics. 676 $a510 700 $aNadkarni$b M. G$4aut$4http://id.loc.gov/vocabulary/relators/aut$0534763 906 $aBOOK 912 $a9910437870403321 996 $aBasic ergodic theory$9911736 997 $aUNINA