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

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

 

Synopses & Reviews

Publisher Comments:

"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 their applications of Kolmogorov complexity. the book presents a thorough treatment of the subject with a wide range of illsutrative applications. Such applications include the randomeness of finite objects or infinite sequences, Martin-Loef tests for randomness, information theory, computationla 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 himnts to solutions of problems. In this new edition the authors have added new material on circuit theory, distributed algorithms, data compression, and other topics.

Synopsis:

Written by two experts in the field, this book is ideal for advanced undergraduate students, graduate students, and researchers in computer science, mathematics, cognitive sciences, philosophy, artificial intelligence, statistics, and physics. It 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, as well as a great deal of new material not included in the first edition.

Table of Contents

Preliminaries.- Algorithmic Complexity.- Algorithmic Prefix Complexity.- Algorithmic Probability.- Inductive Reasoning.- The Incompressibility Method.- Resource-Bounded Complexity.- Physics, Information, and Computation

Product Details

ISBN:
9780387948683
With:
Vitanyi, Paul
With:
Vitanyi, Paul
With:
Vitanyi, Paul
Author:
Li, Ming
Author:
Vitanyi, Paul
Publisher:
Springer
Subject:
Reference
Subject:
Computer Science
Subject:
Logic
Subject:
Statistics
Subject:
Reference - General
Subject:
Kolmogorov complexity.
Subject:
Mathematics-Logic and Philosophy
Copyright:
Edition Number:
2
Edition Description:
2nd ed.
Series:
Graduate Texts in Computer Science
Publication Date:
February 1997
Binding:
Hardcover
Language:
English
Illustrations:
Y
Pages:
637
Dimensions:
9.60x7.29x1.44 in. 2.76 lbs.

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Related Subjects

Computers and Internet » Computers Reference » Beginning and Reference
Science and Mathematics » Mathematics » Computer
Science and Mathematics » Mathematics » Foundations and Logic
Science and Mathematics » Mathematics » Logic and Philosophy
Textbooks » General

An Introduction to Kolmogorov Complexity and Its Applications (Graduate Texts in Computer Science) New Hardcover
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Product details 637 pages Springer-Verlag - English 9780387948683 Reviews:
"Synopsis" by , Written by two experts in the field, this book is ideal for advanced undergraduate students, graduate students, and researchers in computer science, mathematics, cognitive sciences, philosophy, artificial intelligence, statistics, and physics. It 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, as well as a great deal of new material not included in the first edition.
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