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Tag Archives: quadratic forms
Generalized Analytic Functions – Vekua
In this post, we will see the book Generalized Analytic Functions by I. Vekua. About the book THIS book is concerned with foundations of the general theory of generalized analytic functions and some applications to problems of differential geometry and … Continue reading
A Course of Higher Mathematics (Vols. 1 – 5) – Smirnov
In this post, we will see the six volume A Course of Higher Mathematics by V. I. Smirnov. About the Course Volume I Elementary Calculus is primarily concerned with differential and integral calculus. Particular emphasis is given to functional relationships … Continue reading
Posted in books, mathematics, physics, soviet
Tagged algebra, applied mathematics, bessel function, calculus, calculus of variation, classical field theory, complex integration, complex numbers, determinants, differential calculus, differential equations, elliptic functions, field theory, fractional functions, functional analysis, functions, Functions of Several Variables, hermitian polynomials, integral equations, integration, laguerre polynomials, line integrals, linear algebra, linear differential equations, linear transfor, linear transformations, mathematical physics, multiple integrals, partial differential equations, quadratic forms, seies, special functions, spherical functions, theory of groups, theory of integral equations, theory of limits, vector analysis
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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, 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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Linear Algebra And Multi Dimensional Geometry – Efimov, Rozendorn
In this post, we will see the book Linear Algebra And Multi Dimensional Geometry by N. V. Efimov, E. R. Rozendorn About the book This book was conceived as a text combining the course of linear algebra and analytic geometry. It … Continue reading
Posted in books, mathematics, mir books, mir publishers
Tagged affine spaces, bilinear forms, eigenvectors, euclidean, groups, hypersurfaces, linear equations, linear spaces, linear transformations, mathematics, metrics, mir books, multivectors, projective, quadratic forms, spaces, tensors
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Problems in Linear Algebra – Proskuryakov
In this post we will see Problems in Linear Algebra by I. V. Proskuryakov. From the Preface: In preparing this book of problems the author attempted firstly, to give a sufficient number of exercises for developing skills in the solution … Continue reading