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Category Archives: mathematics
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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The Applications Of Continued Fractions And Their Generalizations To Problems In Approximation Theory – Khovanskii
In this post, we will see the book The Applications Of Continued Fractions And Their Generalizations To Problems In Approximation Theory by A. N. Khovanskii. About the book This book on continued fractions is devoted to certain selected topics in … Continue reading
Posted in books, mathematics, soviet
Tagged approximations, binomial function expansion, boole equation, calculations, calculations of roots, continued fractions, Convergence Tests for Continued Fractions, exponential approximation, gamma function, generalized continued fractions, hypergeometric Series, natural logarithm approximation, Obreschkoff's Formula, prym's function, rational function approximations, ricatti equation, series, trigonometric approximations, trigonometric series
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Mathematical Problems: An Anthology ( Pocket Mathematical Library Work Book 3) – Dynkin et al
In this post, we will see the book Mathematical Problems: An Anthology ( Pocket Mathematical Library Work Book 3) by E. B. Dynkin; S. A. Molchanov; A. L. Rozental; A. K. Tolpygo. About the book Regardless of their difficulty, the … Continue reading
Learn Limits Through Problems! ( Pocket Mathematical Library Workbook 2) – Gelfand et al.
In this post, we will see the book Learn Limits Through Problems! ( Pocket Mathematical Library Workbook 2) by S. I. Gelfand; M. L. Gerver; A. A. Kirillov; N. N. Konstantinov; A.G. Kushnirenko. About the book This is the second … Continue reading
Posted in books, mathematics, problem books, soviet
Tagged analysis, bolzano-weierstrass axiom, conceptual problems, continuity, definitions, evaluating limits, high school mathematics, limits, limits examples, pocket mathematical library, problem book, problems and solutions, soviet education, travelling problems
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Sequences and Combinatorial Problems ( Pocket Mathematical Library Workbook 1)- Gelfand et al
In this post, we will see the book Sequences And Combinatorial Problems (Pocket Mathematical Library Workbook 1) by S. I. Gelfand; M. L. Gerver; A. A. Kirillov; N. N. Konstantinov; A.G. Kushnirenko. About the book This book has a very … Continue reading
Posted in books, mathematics, problem books, soviet
Tagged combinatorics, differences, high school, mathematics, patterns, problem books, problems, problems and solutions, proof by induction, sequences, series, solutions, soviet, workbooks
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A Course of Mathematical Analysis (Vols 1 and 2) – Nikolsky
In this post we will see the two volume Course in Mathematical Analysis by S. M. Nikolsky. About the book The major part of this two-volume textbook stems from the course in mathematical analysis given by the author for many … Continue reading
Posted in books, mathematics, mir books, mir publishers, soviet
Tagged analysis, definite integral, differentiable manifolds, differential forms, field theory, Fourier integral, fourier series, Functions of One Variable, Functions of Several Variables, Fundamentals of Mathematical Analysis, indefinite integral, lebesgue integral, Limit of Function, mathematics, mir publishers, multiple integrals, Real Numbers Limit of Sequence, series, Some Applications of Integrals, soviet, vector field
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Eight Lectures on Mathematical Analysis – Khinchin
In this post, we will see the book Eight Lectures On Mathematical Analysis by A. Ya. Khinchin. About the book Eight Lectures on Mathematical Analysis is a translation and adaptation of a book by the outstanding Russian mathematician A. Ya. … Continue reading
Posted in books, mathematics, soviet
Tagged analysis, continuum, derivative, differential equations, discontinuities, expansion of series, fourier series, functions, fundamental ideas, implicit functions, integrals, lagrange's theorem, limits, mathematics, minima and maxima, partial derivatices, series, series convergence, solutions of differential equations, soviet, taylor's formula, trigonometric series
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