An Introduction to Kolmogorov Complexity and Its Applications (Texts in Computer Science) (Hardcover)

An Introduction to Kolmogorov Complexity and Its Applications (Texts in Computer Science) By Ming Li, Paul M. B. Vitanyi Cover Image
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"The book is outstanding and admirable in many respects. ... is necessary reading for all kinds of readers from undergraduate students to top authorities in the field." Journal of Symbolic Logic

Written by two experts in the field, this is the only comprehensive and unified treatment of the central ideas and applications of Kolmogorov complexity. The book presents a thorough treatment of the subject with a wide range of illustrative applications. Such applications include the randomness of finite objects or infinite sequences, Martin-Loef tests for randomness, information theory, computational learning theory, the complexity of algorithms, and the thermodynamics of computing. It will be ideal for advanced undergraduate students, graduate students, and researchers in computer science, mathematics, cognitive sciences, philosophy, artificial intelligence, statistics, and physics. The book is self-contained in that it contains the basic requirements from mathematics and computer science. Included are also numerous problem sets, comments, source references, and hints to solutions of problems. New topics in this edition include Omega numbers, Kolmogorov-Loveland randomness, universal learning, communication complexity, Kolmogorov's random graphs, time-limited universal distribution, Shannon information and others.

Product Details
ISBN: 9780387339986
ISBN-10: 0387339981
Publisher: Springer
Publication Date: November 21st, 2008
Pages: 790
Language: English
Series: Texts in Computer Science