Mathematical foundations of information theory - Alexander I. Khinchin

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• 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.