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Category Archives: books
Continued Fractions – Khinchin
In this post, we will see the book Continued Fractions by A. Ya. Khinchin. About the book The late Alexander J. Khinchin was born in Russia in 1894. One of the founders of the Soviet school of probability theory, Khinchin … Continue reading
Mathematical Foundations of Information Theory – Khinchin
In this post, we will see the book Mathematical foundations of Information Theory by A. I. Khinchin. About the book The book is a translation of two papers written by the Russian mathematician, A. I. Khinchin, for the expository journal … Continue reading
Posted in books, engineering, mathematics, physics, statistics, technology
Tagged coding theory, concept of channel, entropy, ergodic sources, ergodic theory, feinstein fundamental lemma, feinstein inequality, information, markov chains, mathematics, noise, shanon's inequality, shanon's theorems, uniqueness theorem
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Mathematical Foundations of Statistical Mechanics – Khinchin
In this post, we will see the book Mathematical Foundations of Statistical Mechanics by A. I. Khinchin. About the book The present book considers as its main task to make the reader familiar with the mathematical treatment of statistical mechanics … Continue reading
Posted in books, mathematics, physics
Tagged birkhoff theorem, central limit theorem, distributions, ensemble, ergodic problem, foundations of thermodynamics, geometry of phase space, liouville theorem, manifolds, mathematics, monoatomic gas, physics, soviet, statistical mechanics, sum functions, theory of probability, thermodynamic functions
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Mathematical Foundations of Quantum Statistics – Khinchin
In this post, we will see the book Mathematical Foundations of Quantum Statistics by A. I. Khinchin. About the book In the area of quantum statistics, I show that a rigorous and systematic mathematical basis of the computational formulas of … Continue reading
Posted in books, mathematics, physics
Tagged canonical averaging, elementary particles, linear operators, mathematics, microcanonical averages, particles, physical quantities, physics, planck formula, quantum mechanics, quantum statistics, soviet, states, stationary states, statistics of photons, theory of probability, thermodynamics
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