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Category Archives: mathematics
The Teaching of Mathematics – Essays by A. Ya. Khinchin
In this post, we will see the book The Teaching of Mathematics by A. Ya. Khinchin. About the book Khinchin was a teacher-genius before his time and a mathematician of outstanding calibre. The main contents of this book are four … Continue reading
A Collection Of Problems On Mathematical Physics – Budak, Samarskii, Tikhonov
In this post, we will see the book A Collection Of Problems On Mathematical Physics by B. M. Budak; A. A. Samarskii; A. N. Tikhonov. About the book THE PRESENT book is based on the practical work with equations of … Continue reading
Posted in books, mathematics, physics, soviet
Tagged boundary value problems, canonical forms, determinants, electric fields, elliptical, gamma function, heat conduction, heat transfer, hyperbolic, laplace's equation, mathematics, media, natural oscillations, oscillations, parabolic, partial differential equations, physics, problem books, propagation of sound, riemann's method, second order, solutions, soviet, special functions, temperature distribution, vibrations
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Fundamentals of Engineering Mechanics – Levinson
In this post, we will see the book Fundamentals of Engineering Mechanics by L. Levinson. About the book The book provides an overview of various aspects of engineering mechanics. The first part (chapters 1 to 14) covers theoretical aspects of … Continue reading
Posted in books, engineering, foreign languages publishing, mathematics, physics, soviet, technology
Tagged connectors, dynamics, engineering, engineering mechanics, kinematics, load, materials, mechanics, physics, power, pulley, statics, strain, stress, theory of machines, torsion, transmission, work
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The Inverse Problem of Scattering Theory – Agranovich, Marchenko
In this post, we will see the book The Inverse Problem of Scattering Theory by Z. S. Agranovich and V. A. Marchenko. About the book In spectral theory, the inverse problem is the usual name for any problem in which … Continue reading
Posted in books, mathematics, physics
Tagged boundary value problems, inverse problems, klein-gordon scalar relativistic wave equation, mathematical physics, mathematical theory, mathematics, parsevals equaliity, physics, potential matrrix, scattering data, scattering matrix, scattering problem, singularities, solutions, spectral theory
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Three Pearls of Number Theory – Khinchin
In this post, we will see the book Three Pearls of Number Theory by A. Y. Khinchin. About the book This little book is devoted to three theorems in arithmetic, which, in spite of their apparent simplicity, have been the … Continue reading
Method of Statistical Testing – Monte Carlo Method – Shreider
In this post, we will see the book Method of Statistical Testing – Monte Carlo Method by Yu. A. Shreider. About the book The present volume of the Mathematical Reference Library is devoted to the so-called method of statistical trials … Continue reading
Posted in books, mathematics, physics, soviet, statistics
Tagged accuracy, algorithms, applications, congestion processes, definite integrals, information theory, methods, monte carlo method, neutron physics, queueing, random number generation, random numbers, simulation, statistics, testing, transformation of random numbers, wiener integrals
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What is distance? (Popular Lectures in Mathematics) – Shreider
In this post, we will see the book What Is Distance? by Yu. A. Shreider. This is part of Popular Lectures in Mathematics series. About the book This introduction to the theory of metric spaces carries the student through the … Continue reading
Posted in books, popular lectures in mathematics, soviet
Tagged definition, distance, elementary distance, experimental measurements, general definition, general distance, geodesics, mathematics, metric spaces, metrics, multi-dimensional spaces, norms, popular lectures in mathematics, soviet, space
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The Method Of Trigonometric Sums In The Theory Of Numbers – Vinogradov
In this post, we will see the book The Method Of Trigonometric Sums In The Theory Of Numbers by I. M. Vinogradov. About the book Since 1934 the analytic theory of numbers has been largely transformed by the work of … Continue reading
Lectures in Geometry – Semester 5 Lie Groups and Lie Algebras – Postnikov
In this post, we will see the book Lectures in Geometry – Semester 5 Lie Groups and Lie Algebras by M. Postnikov. This book is the first one of a five part Lectures in Geometry series. So far we have volumes … Continue reading
Posted in books, mathematics, mir books, mir publishers, soviet
Tagged ado theorem, Campbell-Hausdorff series, Canonical coordinates, cartan theorem, cayley construction, Clifford algebra, cohomologies, Cohomologies of Lie algebras, coverings, De Rham cohomologies, Doubling of algebras, Dynkin polynomials, engel theorem, Free associative algebras, Friedrichs theorem, hilbert's fifth problem, hopf algebras, integral manifolds, isomophisms, jordan decomposition, Killing’s functional, levi theorem, lie algebras, lie groups, linear differential operators, mathematics, matrix lie groups, Matrix representations of Clifford algebras, Metric algebras, nil-radical of a Lie algebra, Nilpotent Lie algebras, Normed algebras., Poincaré-Birkhoff-Witt theorem, Schur’s lemma, sub-algebras, sub-fiberings, subgroups, topological groups, Trace functional, whitehead theorem
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Lectures in Geometry – Semester 2 Linear Algebra and Differential Geometry – Postnikov
In this post, we will see the book Lectures in Geometry – Semester 2 Linear Algebra and Differential Geometry by M. Postnikov. This book is the first one of a five part Lectures in Geometry series. So far we have … Continue reading
Posted in books, mathematics, mir books, mir publishers, soviet
Tagged adjoint operators, angles on a surface, annulet, bilinear functionals, Cartan's divisibility theorem, centroaffine transformations, Complexification of a linear operator, conjugate space, Developables, Diffeomorphisms, dual space, eigenfunctions, eigenvalues, euclidean point spaces, euclidean spaces, Frenet’s formulas, gauss theorem, gradients derivatives, graphs of functions, Grassman algebra, Hamilton’s symbolic vector, hyperplanes, hypersurface, indicatrix of dupin, isometries, jacobi theorem, Kronecker-Capelli theorem, linear operators, Matrix rank theorem, Multiplication of tensors, Multivector rank theorem, multivectors, normal vector, Plücker relations, principal curvatures, projections, projective space, quadratic forms, regular surfaces, self-adjoint operators, skew-Hermitian operators., Skew-symmetric Hermitian operators., smooth functions, tangential plane, tensors, three dimensional, Unitary matrices, unitary spaces, vector analysis, vector fields, vector spaces, Vector subspaces, Weingarten's derivation
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