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Mathematical Foundations Of Information Theory  

Original Title  Mathematical Foundations Of Information Theory 
Author  A. Ya. Khinchin 
Publication date 
1957 
Topics  mathematics, information, noise, entropy, uniqueness theorem, markov chains, coding theory, shanon’s inequality, feinstein inequality, ergodic theory, ergodic sources, concept of channel, feinstein fundamental lemma, shanon’s theorems 
Collection  mirtitles, additional_collections 
Language  English 
Book Type  EBook 
Material Type  Book 
File Type  
Downloadable  Yes 
Support  Mobile, Desktop, Tablet 
Scan Quality:  Best No watermark 
PDF Quality:  Good 
Availability  Yes 
Price  0.00 
Submitted By  mirtitles 
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The book is a translation of two papers written by the Russian mathematician, A. I. Khinchin, for the expository journal Uspekhi. These papers present the mathematical foundations of information theory. While completely rigorous, the flavour of the engineering applications which led to the theory runs throughout and very much helps the intuition. Khinchin has here reformulated basic concepts and presents for the first time rigorous proofs of certain fundamental theorems in the subject.
The first paper discusses the concept of entropy and gives one major application to coding. The only stochastic processes used are Markov chains. This paper would serve as a valuable supplement to an introductory probability course.
The second and longer paper uses more advanced topics from probability theory, for example, stationary processes and martingales. However, the treatment is quite complete and the non specialist would not suffer thanks to Khinchin’s amazing expository ability.
It is a tribute to Shannon’s theory that a rigorous treatment only enhances
the elegance of the basic theorems.

Mathematical Foundations Of Information Theory
 A. Ya. Khinchin
Mathematical Foundations Of Information Theory Original Title Mathematical Foundations Of
Mathematical Foundations Of Information Theory
 A. Ya. Khinchin
Mathematical Foundations Of Information Theory Original Title Mathematical Foundations Of