Information and Randomness by Cristian S Calude

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Information and Randomness by Cristian S Calude

The first edition of the monograph Information and Randomness: An Algorithmic Perspective by Crist ian Calude was published in 1994. In my Foreword I said: The research in algorithmic information theory is already some 30 years old. However, only the recent years have witnessed a really vigorous growth in this area. . . . The present book by Calude fits very well in our series. Much original research is presented. . . making the approach richer in consequences than the classical one. Remarkably, however, the text is so self-contained and coherent that the book may also serve as a textbook. All proofs are given in the book and, thus, it is not necessary to consult other sources for classroom instruction. The vigorous growth in the study of algorithmic information theory has continued during the past few years, which is clearly visible in the present second edition. Many new results, examples, exercises and open prob- lems have been added. The additions include two entirely new chapters: Computably Enumerable Random Reals and Randomness and Incom- pleteness. The really comprehensive new bibliography makes the book very valuable for a researcher. The new results about the characterization of computably enumerable random reals, as well as the fascinating Omega Numbers, should contribute much to the value of the book as a textbook. The author has been directly involved in these results that have appeared in the prestigious journals Nature, New Scientist and Pour la Science.

From the reviews of the second edition:

"This book, benefiting from the author’s research and teaching experience in Algorithmic Information Theory (AIT) should help to make the detailed mathematical techniques of AIT accessible to a much wider audience" (PHINEWS, Vol. 2, October 2002)

SKU Unavailable
ISBN 13 9783642077937
ISBN 10 3642077935
Title Information and Randomness
Author Cristian S Calude
Series Texts In Theoretical Computer Science An Eatcs Series
Condition Unavailable
Binding Type Paperback
Publisher Springer
Year published 2010-12-15
Number of pages 468
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.