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Category Archives: mathematics
Ordinary Differential Equations – Pontryagin
In this post, we will see the book Ordinary Differential Equations by L. S. Pontryagin. About the book This book has been written on the basis of lectures which I delivered at the department of mathematics and mechanics of Moscow … Continue reading
Posted in books, mathematics, physics, soviet
Tagged differential equations, existence theorems, first order differential equations, integration methods, jordan form, linear algebra, linear equations with constant coefficients, linear equations with variable coefficients, Lyapunov's Theorem, mathematics, matrix functions
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Applications of Functional Analysis in Mathematical Physics – Sobolev
In this post, we will see the book Applications of Functional Analysis in Mathematical Physics – S. L. Sobolev. About the book The present book arose as a result of revising a course of lectures given by the writer at … Continue reading
Partial Differential Equations of Mathematical Physics – Sobolev
In this post, we will see the book Partial Differential Equations of Mathematical Physics – S. L. Sobolev. About the book The classical partial differential equations of mathematical physics, formulated and intensively studied by the great mathematicians of the nineteenth … Continue reading
Posted in books, mathematics, physics
Tagged boundary value problems, d’Alembert's Method, differential equations, dirichlet problem, equation of heat conduction, fourier series, fouriers method, green's formula, hadamard's example, integral equations, laplace's equation, lebesgue integration, mathematical physics, method of separation of variables, Ostrogradski’s Formula, physics, poisson's equation, potential problems, riemann's method, soviet, spherical functions, vibrations
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A Collection of Problems in The Theory of Numbers – Sierpinski
In this post, we will see the book A Collection of Problems in The Theory of Numbers by Waclaw Sierpinski. About the book A Selection of Problems in the Theory of Numbers focuses on mathematical problems within the boundaries … Continue reading
Posted in books, mathematics, soviet
Tagged arithmetic progressions, difficult problems, elementary problems, fermat numbers, goldbach conjecture, high school, lagrange's theorem, mathematics, mersenne numbers, natural numbers, number theory, patterns, polynomials, prime factors, prime numbers, problem books, problems, solutions
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Limits and Continuity – Korovkin
In this post, we will see the book Limits and Continuity by P. P. Korovkin. About the book The present volume in The Pocket Mathematical Library stems in large part from Chapters 1-4 of P. P. Korovkin’s Mathematical Analysis, Moscow … Continue reading
Posted in books, mathematics, soviet
Tagged algebraic properties of limits, aymptotes, Bolzano-Weierstrass Theorem, Cauchy Convergence Criterion, classes of functions, continuity, evaluation of limits, functions, graphs, indeterminate forms, infinite limits, intermediate value theorem, limits, limits at infinity, pocket mathematical library, sets
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Mistakes in Geometric Proofs – Dubnov
In this post, we will see the book Mistakes in Geometric Proofs by Ya. S. Dubnov. About the book THIS BOOKLET presents examples of faulty geometric proofs, some of which illustrate mistakes in reasoning that a student might make, while … Continue reading
Posted in books, mathematics, topics in mathematics
Tagged circles, geometric proofs, geometry, high school, mathematics, misconceptions, mistakes, sophisms, soviet, topics in mathematics, triangles
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Limit Distributions For Sums Of Independent Random Variables – Gnedenko, Kolmogorov
In this post, we will see the book Limit Distributions For Sums Of Independent Random Variables – B. V. Gnedenko, A. N. Kolmogorov. About the book This is a translation of the Russian book (1949). There are various points of … Continue reading
Unsolved And Unsolvable Problems In Geometry – Meschkowski
In this post, we will see the book Unsolved And Unsolvable Problems In Geometry by H. Meschkowski. About the book We shall discuss some famous problems which occupied the attention of mathematicians for thousands of years and which have been … Continue reading
Posted in books, mathematics, soviet
Tagged circles, congruent spheres, decomposition, equivalence of polyhedra, extremal problems, geometry, geometry of sets, irregular packing, lebesgue's tile problem, mathematics, problems, regular packing, significance of unsolvable problems, triangles
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The USSR Olympiad Problem Book – Shklarsky, Chentzov, Yaglom
In this post, we will see the book The USSR Olympiad Problem Book by D. O. Shklarsky, N. N. Chentzov and I. M. Yaglom. About the book This book contains 320 unconventional problems in algebra, arithmetic, elementary number theory, and … Continue reading
Posted in books, mathematics, problem books, soviet
Tagged data processing methods, distributions of random variables, entropy, information, limit theorems, markov processes, mathematics, probability theory, problem book, problems and solutions, random events, random functions, random variables, soviet, statistics
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Problems In Probability Theory, Mathematical Statistics And Theory Of Random Functions – Sveshnikov
In this post, we will see the book Problems In Probability Theory, Mathematical Statistics And Theory Of Random Functions by A. A. Sveshnikov. About the book Students at all levels of study in the theory of probability and in the … Continue reading
Posted in books, mathematics, soviet, statistics
Tagged data processing methods, distributions of random variables, entropy, information, limit theorems, markov processes, mathematics, probability theory, problem book, problems and solutions, random events, random functions, random variables, soviet, statistics
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