Mathematical Foundations Of Information Theory

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Title:Mathematical Foundations Of Information Alexander I. (Author), Khinchin, Aleksandr Iakovlevich (Author), Khinchin, A. I. (Author)Description: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 Binding:Paperback, PaperbackPublisher:DOVER PUBN INCPublication Date:1957-06-01Weight:0.32 lbsDimensions:0.3\'\' H x 7.86\'\' L x 5.74\'\' WNumber of Pages:128Language:English