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Technical Computational Ergodic Theory

Posted on 2010-03-15




Name:Technical Computational Ergodic Theory
ASIN/ISBN:3540231218
Language:English
File size:41.4 Mb
   Technical Computational Ergodic Theory

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Publisher: Springer

Language: English

ISBN: 3540231218

Paperback:?453 pages

Data: May 2005

Format: PDF

Description: 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.
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