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Category Archives: mathematics
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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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, Cauchy-Buniakowski 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
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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 non-stationary 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, non-linear problems, physics, properties, random force, random functions, random processes, soviet, spectral method, statistical properties, theory, thermal noise, transformations, voltage noise
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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
6 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
4 Comments
Systems of Linear Equations (Little Mathematics Library) – Skornyakov
In this post, we will see the book from the series Little Mathematics Library titled Systems of Linear Equations by L. A. Skornyakov. About the book The book contains a complete exposition of the theory of systems of linear equations … Continue reading
Geometry – Shuvalova
In this post, we will see the book Geometry by E. Z. Shuvalova. About the book The book provides a comprehensive treatment of basic geometrical concepts for high schools. The first chapter deals with properties of triangles. Chapter 2 gives … Continue reading
Posted in books, mathematics, mir books, mir publishers
Tagged areas, basis, cones, conic sections, cylinder, euler theorem, geometry, high school, mathematics, mir publishers, mirbooks, parallel lines, parallelism, polyhedra, projections, solid geometry, space vectors, sphere, transformations, triangles, volumes
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Computational Mathematics – Danilina, Dubrovskaya, Kvasha, Smirnov
In this post, we will see the book Computational Mathematics by N. I. Danilina; N. S. Dubrovskaya; O. P. Kvasha; G. L. Smirnov. About the book The rapid development of computer engineering in recent times has led to ail expansion … Continue reading
Posted in books, mathematics, mir books, mir publishers, science, technology
Tagged adam's extrapolation method, approximate methods, approximate solutions, boundary value problems, Characteristic Polynomial, Cholesky's Method, computational methods, Danilevsky's Method, difference scheme, Eigenvalues and Eigenvectors of a Matrix, elementary functions, euler's method, extrapolation, Gauss Elimination Method, Horner's Method, interpolation, iterative methods, Krylov's Method, Leverrier-Faddeev Method, linear vector spaces, matrix algebra, method of finite differences, Methods of Solving Nonlinear Equations, milne's method, Newton's Method of Approximation, Newton-Cotes Quadrature Formulas, Numerical Differentiation and Integration, numerical methods, ordinary diff, ordinary differential equations, partial differential equations, picard's method, power series, quadrature formula, runge-kutta method, solutions, systems of linear equations, Theory of Errors
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