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Tag Archives: mathematics
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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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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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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Combinatorial Topology (Vol 1, 2, 3) – Aleksandrov
In this post, we will see the three volume set of Combinatorial Topology by P. S. Aleksandrov. Vol. 1: Introduction. Complexes. Coverings. Dimension. Vol. 2: The Betti Groups Vol. 3: Homological Manifolds. The Duality Theorems. Cohomology Groups of Compacta. Continuous … Continue reading
Posted in books, mathematics, soviet
Tagged betti groups, chains, cohomology, continuous mapping of polyhedra, coverings, delta-groups, dimensions, duality theorems, homological manifolds, invariance, jordan theorem, mathematics, relative cycles, soviet, surfaces, topological spaces, topology
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Challenging Mathematical Problems With Elementary Solution (Vols. 1 & 2) – Yaglom, Yaglom
In this post, we will see the two volume set of Challenging Mathematical Problems With Elementary Solution by A. M. Yaglom; I. M. Yaglom . Volume 1: Combinatorial Analysis and Probability Theory Volume 2: Problems From Various Branches of Mathematics … Continue reading
Posted in books, mathematics, problem books, soviet
Tagged binomial coefficients, chessboard problems, combinatorial analysis, combinatorial problems, convex polygons, geometric problems, lattices, mathematics, non-decimal counting, plane, points, probability theory, problem book, problems, problems and solutions, problems of many possible outcomes, representation of integers as sums and products, russian, soviet, theory of primes, topology
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Foundations of the Theory of Probability – Kolmogorov
In this post, we will see the book Foundations of the Theory of Probability by A. N. Kolmogorov. About the book The purpose of this monograph is to give an axiomatic foundation for the theory of probability. The author set … Continue reading
Posted in books, mathematics, soviet, statistics
Tagged axioms, bayes theorem, conditional probabilities, distributions, expectation values, independence, infinite dimensional spaces, infinite probability fields, integration with respect to parameter, law of large numbers, lebesgue integrals, mathematics, probability theory, random variables, soviet, statistics, strong law of large numbers
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Multicolor Problems ( Mathematical Conversations Part 1) – Dynkin, Uspenskii
In this post, we will see the book Multicolor Problems ( Mathematical Conversations Part 1) by E. B. Dynkin and V. A. Uspenskii. About the book Multicolor Problems is a translation of Part One of Mathematical Conversations by E. B. … Continue reading
Random Walks ( Mathematical Conversations Part 3) – Dynkin, Uspenskii
In this post, we will see the book Random Walks ( Mathematical Conversations Part 3) by E. B. Dynkin and V. A. Uspenskii. About the book Random Walks is a translation of Part Three of Mathematical Conversations by E. B. … Continue reading
