Mathematical Foundations of Information Theory (Paperback)

A. Ya. Khinchin

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Language: English

Published by Dover Publications Inc., New York, 2003

0486604349 / 9780486604343

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Paperback. The first comprehensive introduction to information theory, this book places the work begun by Shannon and continued by McMillan, Feinstein, and Khinchin on a rigorous mathematical basis. For the first time, mathematicians, statisticians, physicists, cyberneticists, and communications engineers are offered a lucid, comprehensive introduction to this rapidly growing field.In his first paper, Dr. Khinchin develops the concept of entropy in probability theory as a measure of uncertainty of a finite ""scheme,"" and discusses a simple application to coding theory. The second paper investigates the restrictions previously placed on the study of sources, channels, and codes and attempts ""to give a complete, detailed proof of both . Shannon theorems, assuming any ergodic source and any stationary channel with a finite memory.""Partial Contents: I. The Entropy Concept in Probability Theory - Entropy of Finite Schemes. The Uniqueness Theorem. Entropy of Markov chains. Application to Coding Theory. II. On the Fundamental Theorems of Information Theory - Two generalizations of Shannon's inequality. Three inequalities of Feinstein. Concept of a source. Stationarity. Entropy. Ergodic sources. The E property. The martingale concept. Noise. Anticipation and memory. Connection of the channel to the source. Feinstein's Fundamental Lemma. Coding. The first Shannon theorem. The second Shannon theorem. First comprehensive introduction to information theory explores the work of Shannon, McMillan, Feinstein, and Khinchin. Topics include the entropy concept in probability theory, fundamental theorems, and other subjects. 1957 edition. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.…

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Title
Mathematical Foundations of Information Theory (Paperback)
Author
A. Ya. Khinchin
Publisher
Dover Publications Inc., New York
Publication year
2003
Condition
new
Binding
Paperback
Language
English
ISBN 10
0486604349
ISBN 13
9780486604343

Grand Eagle Retail

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