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Category Archives: mathematics
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 socalled 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
1 Comment
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, multidimensional spaces, norms, popular lectures in mathematics, soviet, space
1 Comment
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, CampbellHausdorff 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, nilradical of a Lie algebra, Nilpotent Lie algebras, Normed algebras., PoincaréBirkhoffWitt theorem, Schur’s lemma, subalgebras, subfiberings, subgroups, topological groups, Trace functional, whitehead theorem
1 Comment
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, KroneckerCapelli 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, selfadjoint operators, skewHermitian operators., Skewsymmetric 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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Lectures in Geometry – Semester 1 Analytic Geometry – Postnikov
In this post, we will see the book Lectures in Geometry – Semester 1 Analytic Geometry by M. Postnikov. This book is the first one of a five part Lectures in Geometry series. So far we have volumes 1, 2 … Continue reading
Posted in books, mathematics, mir books, mir publishers, soviet
Tagged affine transformations, analytic, analytic geometry, bivectors, CauchyBuniakowski inequality, collinear, conic sections, coplanar, desargues theorem, duality principle, ellipsoids, Fano theorem, geometry, isomorphisms, linear dependence, linear fractional transformations, mathematics, metric coefficients, metric forms, mir publishers, parametric equations, space, triangle inequality, trivectors, vectors
1 Comment
Random Processes In Electrical And Mechanical Systems – Lebedev
In this post, we will see the book Random Processes In Electrical And Mechanical Systems by V. L. Lebedev. About the book This book deals with stationary and nonstationary random processes in linear systems and in inertialess nonlinear systems which … Continue reading
Posted in books, electronics, engineering, mathematics, physics, soviet, technology
Tagged brownian motion, Derivatives, detectors, electrical systems, engineering, filters, inertial nonlinear systems, inertialess nonlinear system, linear systems, mechanical systems, moments, noise, nonlinear problems, physics, properties, random force, random functions, random processes, soviet, spectral method, statistical properties, theory, thermal noise, transformations, voltage noise
1 Comment
The Shortest Lines (Little Mathematics Library) – Lyusternik
In this post, we will see another book from the Little Mathematics Library titled The Shortest Lines Variational Problems by Lyusternik. About the book A pamphlet based on lectures read by the author to Moscow University’s schools mathematics club. Deals … Continue reading
Posted in books, little mathematics library, mathematics, mir books, mir publishers, soviet
Tagged catenary, cone, corollaries, cylinder, fermat's principle, geodesics, high school mathematics, isoperimetric problems, little mathematics library, maxima, minima, minimal surface of revolution, mir books, mir publishers, normals, planes, polyhedra, potential energy, refraction curve, relation between mechanics and optics, soviet, space curves, sphere, surfaces, tangents, Variational Problems
3 Comments
Geometrical Constructions With Compasses Only (Little Mathematics Library) – Kostovskii
In this post, we will see the book from the series Little Mathematics Library titled Geometrical Constructions With Compasses Only by A. Kostovskii. About the book This booklet is intended for a wide circle of readers. It should help teachers … Continue reading
Posted in books, little mathematics library, mathematics, mir books, mir publishers, soviet
Tagged compasses, constraints, constructions, geometry, high school, inversions, mathematics, theorems
3 Comments