MARC details
| 000 -LEADER |
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| fixed length control field |
02730cam a2200253 a 4500 |
| 001 - CONTROL NUMBER |
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| control field |
vtls000001665 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
VRT |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20250102224223.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
081108s1989 enka |b 001 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
0521236320 (pbk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
0521389976 (hard) |
| 039 #9 - LEVEL OF BIBLIOGRAPHIC CONTROL AND CODING DETAIL [OBSOLETE] |
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| Level of rules in bibliographic description |
201402040100 |
| Level of effort used to assign nonsubject heading access points |
VLOAD |
| Level of effort used to assign subject headings |
201007191155 |
| Level of effort used to assign classification |
malmash |
| Level of effort used to assign subject headings |
200811091230 |
| Level of effort used to assign classification |
venkatrajand |
| Level of effort used to assign subject headings |
200811081251 |
| Level of effort used to assign classification |
Noora |
| -- |
200811081247 |
| -- |
Noora |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA313 |
| Item number |
.P47 1989 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Petersen, Karl Endel, |
| Dates associated with a name |
1943- |
| 9 (RLIN) |
37815 |
| 245 10 - TITLE STATEMENT |
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| Title |
Ergodic Theory / |
| Statement of responsibility, etc. |
Karl Petersen. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
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| Place of publication, distribution, etc. |
Cambridge ; |
| -- |
New York : |
| Name of publisher, distributor, etc. |
Cambridge University Press, |
| Date of publication, distribution, etc. |
1989. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xi, 329 p. : |
| Other physical details |
ill. ; |
| Dimensions |
23 cm. |
| 440 #0 - SERIES STATEMENT/ADDED ENTRY--TITLE |
|---|
| Title |
Cambridge studies in advanced mathematics ; |
| Volume/sequential designation |
2 |
| 9 (RLIN) |
37816 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc. note |
Includes bibliographical referneces (p. [302]-321) and index. |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Preface; 1. Introduction and preliminaries; 2. The fundamentals of ergodic theory; 3. More about almost everywhere convergence; 4. More about recurrence; 5. Entropy; 6. More about entropy; References; Index. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc. |
The study of dynamical systems forms a vast and rapidly developing field even when one considers only activity whose methods derive mainly from measure theory and functional analysis. Karl Petersen has written a book which presents the fundamentals of the ergodic theory of point transformations and then several advanced topics which are currently undergoing intense research. By selecting one or more of these topics to focus on, the reader can quickly approach the specialized literature and indeed the frontier of the area of interest. Each of the four basic aspects of ergodic theory - examples, convergence theorems, recurrence properties, and entropy - receives first a basic and then a more advanced, particularized treatment. At the introductory level, the book provides clear and complete discussions of the standard examples, the mean and pointwise ergodic theorems, recurrence, ergodicity, weak mixing, strong mixing, and the fundamentals of entropy. Among the advanced topics are a thorough treatment of maximal functions and their usefulness in ergodic theory, analysis, and probability, an introduction to almost-periodic functions and topological dynamics, a proof of the Jewett-Krieger Theorem, an introduction to multiple recurrence and the Szemeredi-Furstenberg Theorem, and the Keane-Smorodinsky proof of Ornstein's Isomorphism Theorem for Bernoulli shifts. The author's easily-readable style combined with the profusion of exercises and references, summaries, historical remarks, and heuristic discussions make this book useful either as a text for graduate students or self-study, or as a reference work for the initiated. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Ergodic theory. |
| 9 (RLIN) |
37817 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Library of Congress Classification |
| Suppress in OPAC |
No |
| Koha item type |
Books |
