Mathematical Theory of Information

Name: Mathematical Theory of Information
Price: 55.74 USD
Availability: InStock
ISBN: 9781402070648

ISBN-10: 1402070640

ISBN-13: 9781402070648

Edition: 2002

Authors: Jan Kï¿½hre

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Description:

The Mathematical Theory of Information presents a new mathematical theory of information, built on a single powerful postulate: the Law of Diminishing Information. The concept of information is here, for the first time, 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'. The Law of Diminishing Information is applied to information technology, game theory, legislation, logic of research, algorithmic information, chaos theory, control engineering, medical tests, and biological evolution. In physics,…

Book details

Copyright year: 2002
Publisher: Springer
Publication date: 6/30/2002
Binding: Hardcover
Pages: 502
Size: 6.10" wide x 9.25" long x 1.00" tall
Weight: 4.4
Language: English



Summary


Acknowledgements



Introduction



The Law of Diminishing Information



General Properties of Information



Specific Information Measures



Selected Applications



Infodynamics



Statistical Information



Algorithmic Information



Continuous Systems



Continuous Information



Deterministic Dynamics



Control and Communication



Information Physics



The Information Quantum


References


Symbols


Index


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