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Category Archives: mathematics
An Elementary Introduction to The Theory of Probability – Gnedenko, Khinchin
In this post, we will see the book An Elementary Introduction To The Theory Of Probability by B. V. Gnedenko and A. Ya. Khinchin About the book This compact volume equips the reader with all the facts and principles essential … Continue reading
Posted in books, mathematics, soviet, statistics
Tagged addition of probabilities, bernouli's scheme, dispersion, distribution laws, distributions, events, law of large numbers, mathematics, mean deviations, mean values, multiplication of probabilities, normal laws, probability, random numbers, random variables, soviet
1 Comment
The Hydrodynamics of The Hydrofoil
In this post, we will see the book The Hydrodynamics Of The Hydrofoil by A. N. Panchenkov. About the book The results of the investigation in the area of the hydrofoil theory are systematized in this monograph. A great … Continue reading
Posted in Aerodynamics, books, engineering, mathematics, physics, soviet, technology
Tagged Aerodynamics, aerohydrodynamics, basic equations, data, development, drag, hydrodynamics, hydrofoil theory, hydrofoils, interface, investigations, lift, physics, profile, solutions, soviet, submerged, tables, technology, three dimensional flows, two dimensional flows, wing
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Higher Mathematics – Suvorov
In this post, we will see the book Higher Mathematics: Textbook for Technical Schools by I. Suvorov. About the book The book is divided into three parts. The first part deals with basic analytic geometry in the plane. The straight … Continue reading
Posted in books, mathematics, physics, soviet
Tagged algebra, conic sections, coordinates, Derivatives, differential calculus, extremal problems, functions, geometry, graphs, high school, integral calculus, limits, lines, mathematics, peace publishers, power series, problems, quadric curves, series, soviet, straight line
2 Comments
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
14 Comments
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
1 Comment
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
1 Comment
