Information and Randomness
An Algorithmic Perspective
Second Edition, Revised and Extended.
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Author
Publication
2002 - Springer Berlin Heidelberg, Berlin, Heidelberg, Germany
Language
English
Word Count
117,000 words, Guess
Page Count
468 pages
Physical Format
Electronic resource
Identifiers
- Internet Archiveinformationrando00calu_287
- ISBN-103642077935
- ISBN-103662049783
- ISBN-139783642077937
- ISBN-139783662049785
and 4 more
- OCLC Control Number851377084
- Better World Books9783642077937
- Better World Books9783662049785
- Open LibraryOL27045461M
Classifications
- DDC005.131
- LCCQA8.9-QA10.3
- LCCQA8.9-10.3
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.
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