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Category Archives: mathematics
Generalized Functions (Vols. 1-6) – Gelfand, Shilov, Graev, Vilenkin, Pyatetskii-Shapiro
In this post we will see the six volume set of Generalized Functions by I. M. Gelfand, G. E. Shilov, M. I. Graev, N. Ya. Vilenkin, I. I. Pyatetskii-Shapiro. About the books The first systematic theory of generalized functions (also … Continue reading
Posted in books, mathematics, soviet
Tagged 2 spaces, analysis, automorphic forms, cauchy problems, complex space, convolution, decomposition, differential equations, differentiation, fields, fourier transforms, general spaces, generalized eigenfunctions, generalized functions, generalized random processes, harmonic analysis, homogeneous spaces, integral geometry, integration, k spaces, kernel theorem, lie groups, linear topological spaces, lorentz group, mathematics, measure, nuclear spaces, number theory, operators, p-adic fields, paley-wiener theorem, partial differential equations, particular types, positive deifinite generalized functions, power series, properties, radon transform, representation theory, rigged hilbert space, rings, s spaces, schwartz spaces, soviet, subgroups, theory, transforms, type-s spaces, unimodular matrices, uniqueness of solutions
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A Course on Mathematical Analysis – Khinchin
In this post, we will see the book A Course on Mathematical Analysis by A. Ya. Khinchin. About the book This course of mathematical analysis is a text-book for students of mechanico-mathematicaland physico-mathematical faculties of our universities (and to some … Continue reading
Posted in books, mathematics, soviet
Tagged analysis, applications of integrals, approximate evaluation of integrals, continuous functions, Derivatives, differentials, double integrals, functions, implicit functions, infinite series, integration, limits, mathematics, mean value theorems, power series, primitives, real numbers, soviet, surface integrals, triple integrals
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A Course of Higher Mathematics (Vols. 1 – 5) – Smirnov
In this post, we will see the six volume A Course of Higher Mathematics by V. I. Smirnov. About the Course Volume I Elementary Calculus is primarily concerned with differential and integral calculus. Particular emphasis is given to functional relationships … Continue reading
Posted in books, mathematics, physics, soviet
Tagged algebra, applied mathematics, bessel function, calculus, calculus of variation, classical field theory, complex integration, complex numbers, determinants, differential calculus, differential equations, elliptic functions, field theory, fractional functions, functional analysis, functions, Functions of Several Variables, hermitian polynomials, integral equations, integration, laguerre polynomials, line integrals, linear algebra, linear differential equations, linear transfor, linear transformations, mathematical physics, multiple integrals, partial differential equations, quadratic forms, seies, special functions, spherical functions, theory of groups, theory of integral equations, theory of limits, vector analysis
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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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