Information and Randomness

An Algorithmic Perspective

By:

Cristian S. Calude

Format:

Paperback / softback

Series:

Texts in Theoretical Computer Science: An EATCS Series

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Description

The book presents in a mathematical clear way the fundamentals of algorithmic information theory and a few selected applications. This 2nd edition presents new and important results obtained in recent years: the characterization of computable enumerable random reals, the construction of an Omega Number for which ZFC cannot determine any digits, and the first successful attempt to compute the exact values of 64 bits of a specific Omega Number. Finally, the book contains a discussion of some interesting philosophical questions related to randomness and mathematical knowledge. "Professor Calude has produced a first-rate exposition of up-to-date work in information and randomness." D.S. Bridges, Canterbury University, co-author, with Errett Bishop, of Constructive Analysis; "The second edition of this classic work is highly recommended to anyone interested in algorithmic information and randomness." G.J. Chaitin, IBM Research Division, New York, author of Conversations with a Mathematician; "This book is a must for a comprehensive introduction to algorithmic information theory and for anyone interested in its applications in the natural sciences." K. Svozil, Technical University of Vienna, author of Randomness & Undecidability in Physics

Release date Australia

December 15th, 2010

Author

Cristian S. Calude

Audience

Professional & Vocational

Edition

Softcover reprint of hardcover 2nd ed. 2002

Illustrations

xx, 468 p.

Pages

468

Series

Texts in Theoretical Computer Science: An EATCS Series

Dimensions

156x234x25

ISBN-13

9783642077937

Product ID

9985376

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