Computational ergodic theory (Record no. 582)

000 -LEADER
fixed length control field 02150nam a2200217Ia 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20241025112009.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 170804s2005 xx 000 0 und d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783540231219
040 ## - CATALOGING SOURCE
Original cataloging agency ICTS-TIFR
050 ## - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA313
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Geon Ho Choe
245 ## - TITLE STATEMENT
Title Computational ergodic theory
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Name of publisher, distributor, etc. Springer-Verlag,
Date of publication, distribution, etc. [c2005]
Place of publication, distribution, etc. New York:
300 ## - Physical Description
Pages: 451 p.
490 ## - SERIES STATEMENT
Series statement Algorithms and Computation in Mathematics
Volume/sequential designation Vol. 13
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note Chapter 1. Prerequisites<br/>Chapter 2. Invariant Measures<br/>Chapter 3. The Birkhoff Ergodic Theorem<br/>Chapter 4. The Central Limit Theorem<br/>Chapter 5. More on Ergodicity<br/>Chapter 6. Homeomorphisms of the Circle<br/>Chapter 7. Mod 2 Uniform Distribution<br/>Chapter 8. Entropy<br/>Chapter 9. The Lyapunov Exponent: One-Dimensional Case<br/>Chapter 10. The Lyapunov Exponent: Multidimensional Case<br/>Chapter 11. Stable and Unstable Manifolds<br/>Chapter 12. Recurrence and Entropy<br/>Chapter 13. Recurrence and Dimension<br/>Chapter 14. Data Compression
520 ## - SUMMARY, ETC.
Summary, etc. Ergodic theory is hard to study because it is based on measure theory, which is a technically difficult subject to master for ordinary students, especially for physics majors. Many of the examples are introduced from a different perspective than in other books and theoretical ideas can be gradually absorbed while doing computer experiments. Theoretically less prepared students can appreciate the deep theorems by doing various simulations. The computer experiments are simple but they have close ties with theoretical implications. Even the researchers in the field can benefit by checking their conjectures, which might have been regarded as unrealistic to be programmed easily, against numerical output using some of the ideas in the book. One last remark: The last chapter explains the relation between entropy and data compression, which belongs to information theory and not to ergodic theory. It will help students to gain an understanding of the digital technology that has shaped the modern information society.---Summary provided by publisher
856 ## - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://link.springer.com/book/10.1007/b138894">https://link.springer.com/book/10.1007/b138894</a>
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 5 12/19/2016 QA313 00582 Book