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Item Details
Title:
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INFORMATION AND RANDOMNESS
AN ALGORITHMIC PERSPECTIVE |
By: |
Cristian S. Calude |
Format: |
Hardback |
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List price:
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£64.99 |
We currently do not stock this item, please contact the publisher directly for
further information.
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ISBN 10: |
3540434666 |
ISBN 13: |
9783540434665 |
Publisher: |
SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG |
Pub. date: |
12 September, 2002 |
Edition: |
2nd ed. 2002 |
Series: |
Texts in Theoretical Computer Science. An EATCS Series |
Pages: |
468 |
Description: |
Aims to provide an extremely clear monograph on algorithmic information theory. This work contains discussions of some interesting philosophical questions surrounding the meaning of randomness, as well as notion of randomness in physics and the information content of mathematical knowledge. |
Synopsis: |
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. |
Illustrations: |
XX, 468 p. |
Publication: |
Germany |
Imprint: |
Springer-Verlag Berlin and Heidelberg GmbH & Co. K |
Returns: |
Returnable |
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