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Cover: 9783642077937 | Information and Randomness | An Algorithmic Perspective | Calude | xx
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Information and Randomness
An Algorithmic Perspective
Taschenbuch von Cristian S. Calude
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung
"Extremely clear monograph on algorithmic information theory. Contains discussion of some interesting philosophical questions surrounding the meaning of andomness, as well as notion of randomness in physics and the information content of mathematical knowledge." J. Casti, Five More Golden Rules, Wiley, New York, 2000, p. 262.
Inhaltsverzeichnis
1 Mathematical Background.- 2 Noiseless Coding.- 3 Program-size.- 4 Computably Enumerable Instantaneous Codes.- 5 Random Strings.- 6 Random Sequences.- 7 Computably Enumerable Random Reals.- 8 Randomness and Incompleteness.- 9 Applications.- 10 Open Problems.- Notation Index.- Name Index.
Details
Erscheinungsjahr: 2010
Fachbereich: Grundlagen
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xx
468 S.
1 s/w Illustr.
ISBN-13: 9783642077937
ISBN-10: 3642077935
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Calude, Cristian S.
Auflage: Softcover reprint of hardcover 2nd edition 2002
Hersteller: Springer Berlin
Springer Berlin Heidelberg
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 27 mm
Von/Mit: Cristian S. Calude
Erscheinungsdatum: 15.12.2010
Gewicht: 0,739 kg
Artikel-ID: 107167160
Zusammenfassung
"Extremely clear monograph on algorithmic information theory. Contains discussion of some interesting philosophical questions surrounding the meaning of andomness, as well as notion of randomness in physics and the information content of mathematical knowledge." J. Casti, Five More Golden Rules, Wiley, New York, 2000, p. 262.
Inhaltsverzeichnis
1 Mathematical Background.- 2 Noiseless Coding.- 3 Program-size.- 4 Computably Enumerable Instantaneous Codes.- 5 Random Strings.- 6 Random Sequences.- 7 Computably Enumerable Random Reals.- 8 Randomness and Incompleteness.- 9 Applications.- 10 Open Problems.- Notation Index.- Name Index.
Details
Erscheinungsjahr: 2010
Fachbereich: Grundlagen
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xx
468 S.
1 s/w Illustr.
ISBN-13: 9783642077937
ISBN-10: 3642077935
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Calude, Cristian S.
Auflage: Softcover reprint of hardcover 2nd edition 2002
Hersteller: Springer Berlin
Springer Berlin Heidelberg
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 27 mm
Von/Mit: Cristian S. Calude
Erscheinungsdatum: 15.12.2010
Gewicht: 0,739 kg
Artikel-ID: 107167160
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