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    STUDIA MATHEMATICA - Issue no. 3 / 2008  
         
  Article:   BOOK REVIEWS: C. E. SILVA, INVITATION TO ERGODIC THEORY, STUDENT MATHEMATICAL LIBRARY, VOL. 42, AMERICAN MATHEMATICAL SOCIETY, PROVIDENCE, RHODE ISLAND 2008, IX+262 PP, ISBN: 978-0-8218-4420-5.

Authors:  ŞTEFAN COBZAŞ. 		 
       
         
  Abstract:  The ergodic theory, started in 1931 by John von Neumann and G. D. Birkhoff, has its origins in the statistical physics of Boltzmann. The present book is intended to be an introduction to ergodic theory and covers topics as recurrence, ergodicity, the ergodic theorems and mixing. In order to make the book as self-contained as possible, measure theory is developed as needed in Chapters 2, Lebesgue measure, and 4, The Lebesgue integral, including an introduction to measure spaces, Carathéodori extension theorem, Lebesgue dominated convergence theorem and the Lebesgue spaces Lp.  
         
     
         
         
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