The Mathematical Theory of Information
Author:   Jan Kåhre
Publisher:   Springer-Verlag New York Inc.
Edition:   2002 ed.
Volume:   684
ISBN:  

9781402070648


Pages:   502
Publication Date:   30 June 2002
Format:   Hardback
Availability:   In Print   Availability explained
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The Mathematical Theory of Information


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Overview

This text offers a mathematical theory of information, built on a single powerful postulate: the ""Law of Diminishing Information"". The concept of information is here defined mathematically by adding this postulate to the axioms of the probability theory. The law of diminishing information is founded on a fusion of two fundamental ideas: Carnap and Bar-Hillel's ""Ideal Receiver"" and Shannon's ""Noisy Channel"". This ""law"" has been applied to information technology, game theory, legislation, logic of research, algorithmic information, chaos theory, control engineering, medical tests, and biological evolution. In physics, both the second law of thermodynamics and Schrodinger's wave function are derived from the law of diminishing information. Conventional information theory, that of telecommunications, is analyzed as a special case, and eight conditions for its applicability are listed.

Full Product Details

Author:   Jan Kåhre
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2002 ed.
Volume:   684
Dimensions:   Width: 15.50cm , Height: 2.80cm , Length: 23.50cm
Weight:   2.000kg
ISBN:  

9781402070648


ISBN 10:   1402070640
Pages:   502
Publication Date:   30 June 2002
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

1. About Information.- 2. THE LAW OF DIMINISHING INFORMATION.- 3. GENERAL PROPERTIES OF INFORMATION.- 4. SPECIFIC INFORMATION MEASURES.- 5. SELECTED APPLICATIONS.- 6. INFODYNAMICS.- 7. STATISTICAL INFORMATION.- 8. ALGORITHMIC INFORMATION.- 9. CONTINUOUS SYSTEMS.- 10. CONTINUOUS INFORMATION.- 11. DETERMINISTIC DYNAMICS.- 12. CONTROL AND COMMUNICATION.- 13. INFORMATION PHYSICS.- 14. THE INFORMATION QUANTUM.- REFERENCES.- SYMBOLS.- (Re)Search hints by Jan Hajek, The Netherlands.

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