Ergodic theory (Record no. 250)
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000 -LEADER | |
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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 |
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 |
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ICTS | Rack No 3 | 07/28/2016 | QA3 | 00250 | Book |