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Mathematical Foundations of Information Theory

Mathematical Foundations of Information Theory - Paperback

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Availability:In StockContributor:A. Ya KhinchinSeries:Dover Books on MathematicsPublish date:1957-06-01Pages:128
Language:EnglishPublisher:Dover PublicationsISBN-13:9780486604343ISBN-10:486604349UPC:9780486604343Book Category:Science, MathematicsBook Subcategory:Philosophy & Social Aspects, AppliedSize:7.86 x 5.74 x 0.30 inchesWeight:0.3197Product ID:SC92YMCBW6
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.
Language:EnglishPublisher:Dover PublicationsISBN-13:9780486604343ISBN-10:486604349UPC:9780486604343Book Category:Science, MathematicsBook Subcategory:Philosophy & Social Aspects, AppliedSize:7.86 x 5.74 x 0.30 inchesWeight:0.3197Product ID:SC92YMCBW6
Publisher: Dover Publications

Contributor(s)

A. Ya Khinchin

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