Ergodic theory (Record no. 250)

000 -LEADER
fixed length control field 02437nam a2200229Ia 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240829121516.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 170804s1982 xx 000 0 und d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 978-1-4615-6929-9
040 ## - CATALOGING SOURCE
Original cataloging agency ICTS-TIFR
050 ## - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA3
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Cornfeld, P.I.
245 ## - TITLE STATEMENT
Title Ergodic theory
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Name of publisher, distributor, etc. Springer (India) Private Limited, New Delhi
Date of publication, distribution, etc. [c1982]
Place of publication, distribution, etc. New Delhi:
300 ## - Physical Description
Pages: 473 p.
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note PART I Ergodicity and Mixing. Examples of Dynamical Systems<br/>1. Basic Definitions of Ergodic Theory.<br/>2. Smooth Dynamical Systems on Smooth Manifolds<br/>3. Smooth Dynamical Systems on the Torus<br/>4. Dynamical Systems of Algebraic Origin<br/>5. Interval Exchange Transformations<br/>6. Billiards<br/>7. Dynamical Systems in Number Theory<br/>8. Dynamical Systems in Probability Theory<br/>9. Examples of Infinite Dimensional Dynamical Systems<br/><br/>PART II Basic Constructions of Ergodic Theory<br/>10. Simplest General Constructions and Elements of Entropy Theory of Dynamical Systems<br/>11. Special Representations of Flows<br/><br/>PART III Spectral Theory of Dynamical Systems<br/>12. Dynamical Systems with Pure Point Spectrum<br/>13. Examples of Spectral Analysis of Dynamical Systems<br/>14. Spectral Analysis of Gauss Dynamical Systems<br/><br/>PART IV Approximation Theory of Dynamical Systems by Periodic Dynamical Systems and Some of its Applications<br/>15. Approximations of Dynamical Systems<br/>16. Special Representations and Approximations of Smooth Dynamical Systems on the Two-dimensional Torus
520 ## - SUMMARY, ETC.
Summary, etc. Ergodic theory is one of the few branches of mathematics which has changed radically during the last two decades. Before this period, with a small number of exceptions, ergodic theory dealt primarily with averaging problems and general qualitative questions, while now it is a powerful amalgam of methods used for the analysis of statistical properties of dyna­ mical systems. For this reason, the problems of ergodic theory now interest not only the mathematician, but also the research worker in physics, biology, chemistry, etc. The outline of this book became clear to us nearly ten years ago but, for various reasons, its writing demanded a long period of time. The main principle, which we adhered to from the beginning, was to develop the approaches and methods or ergodic theory in the study of numerous concrete examples.
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Fomin, S. V.
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Sinai, Y. G.
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Sossinskii, A. B.
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type Book
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Home library Shelving location Date acquired Full call number Accession No. Koha item type
          ICTS Rack No 3 07/28/2016 QA3 00250 Book