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Tag Archives: differential equations
Ordinary Differential Equations – Pontryagin
In this post, we will see the book Ordinary Differential Equations by L. S. Pontryagin. About the book This book has been written on the basis of lectures which I delivered at the department of mathematics and mechanics of Moscow … Continue reading
Posted in books, mathematics, physics, soviet
Tagged differential equations, existence theorems, first order differential equations, integration methods, jordan form, linear algebra, linear equations with constant coefficients, linear equations with variable coefficients, Lyapunov's Theorem, mathematics, matrix functions
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Partial Differential Equations of Mathematical Physics – Sobolev
In this post, we will see the book Partial Differential Equations of Mathematical Physics – S. L. Sobolev. About the book The classical partial differential equations of mathematical physics, formulated and intensively studied by the great mathematicians of the nineteenth … Continue reading
Posted in books, mathematics, physics
Tagged boundary value problems, d’Alembert's Method, differential equations, dirichlet problem, equation of heat conduction, fourier series, fouriers method, green's formula, hadamard's example, integral equations, laplace's equation, lebesgue integration, mathematical physics, method of separation of variables, Ostrogradski’s Formula, physics, poisson's equation, potential problems, riemann's method, soviet, spherical functions, vibrations
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Vector and Tensor Analysis with Applications – Borisenko, Tarapov
In this post, we will see the book Vector And Tensor Analysis With Applications by A. I. Borisenko; I. E. Tarapov. About the book The present book is a freely revised and restyled version of the third edition of the … Continue reading
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Tagged analysis, covariant differentiation, differential equations, differential operators, divergence, electromagnetic theory, equations, Fluid Dynamics, gauss theorem, green's formula, integral theorems, mathematics, maxwells equations, physics, pseudo tensors, scalar field, solenoidal fields, stokes theorem, tensor fields, tensors, theorems, vector algebra, vector fields, vectors
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The Dynamics Of Automatic Control Systems – Popov
In this post, we will see the book The Dynamics Of Automatic Control Systems by E. P. Popov. About the book Prof. Popov’s book on the theory of servomechanisms and control systems will be of interest to English readers in … Continue reading
Posted in books, engineering, mathematics, soviet, technology
Tagged analytic solutions, approximations, automation, design, differential equations, dynamics, efficiency, electrical, electronic, engineering, examples, forms, ideas, mechanical, mechanisms, non-linear automatic regulation systems, physical mature, problems, quality criteria, regulation processes, self-oscillations, servo mechnisms, soviet, stability criteria, systems, technology, transients
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Generalized Functions (Vols. 1-6) – Gelfand, Shilov, Graev, Vilenkin, Pyatetskii-Shapiro
In this post we will see the six volume set of Generalized Functions by I. M. Gelfand, G. E. Shilov, M. I. Graev, N. Ya. Vilenkin, I. I. Pyatetskii-Shapiro. About the books The first systematic theory of generalized functions (also … Continue reading
Posted in books, mathematics, soviet
Tagged 2 spaces, analysis, automorphic forms, cauchy problems, complex space, convolution, decomposition, differential equations, differentiation, fields, fourier transforms, general spaces, generalized eigenfunctions, generalized functions, generalized random processes, harmonic analysis, homogeneous spaces, integral geometry, integration, k spaces, kernel theorem, lie groups, linear topological spaces, lorentz group, mathematics, measure, nuclear spaces, number theory, operators, p-adic fields, paley-wiener theorem, partial differential equations, particular types, positive deifinite generalized functions, power series, properties, radon transform, representation theory, rigged hilbert space, rings, s spaces, schwartz spaces, soviet, subgroups, theory, transforms, type-s spaces, unimodular matrices, uniqueness of solutions
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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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Eight Lectures on Mathematical Analysis – Khinchin
In this post, we will see the book Eight Lectures On Mathematical Analysis by A. Ya. Khinchin. About the book Eight Lectures on Mathematical Analysis is a translation and adaptation of a book by the outstanding Russian mathematician A. Ya. … Continue reading
Posted in books, mathematics, soviet
Tagged analysis, continuum, derivative, differential equations, discontinuities, expansion of series, fourier series, functions, fundamental ideas, implicit functions, integrals, lagrange's theorem, limits, mathematics, minima and maxima, partial derivatices, series, series convergence, solutions of differential equations, soviet, taylor's formula, trigonometric series
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Potential Theory and Its Application to Basic Problems of Mathematical Physics – Günter
In this post, we will see the book Potential Theory and Its Application to Basic Problems of Mathematical Physics by N. M. Günter. About the book The present book is the translation of N. M. Günter’s monograph “La théorie du … Continue reading
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Tagged applications, boundary value problems, differential equations, dirichlet problem, eigenfunctions, eigenvalues, gauss formula, gauss integral, green's functions, heat problem, mathematical physics, mathematics, neumann problem, newtonian potential, nuemann problem, physics, poisson equation, potential theory, robin problem, solutions, stokes formula
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A Collection of Problems on the Equations of Mathematical Physics – Vladimirov
In this post, we will see the book A Collection of Problems on the Equations of Mathematical Physics edited by V. S. Vladimirov. The contributors to the book include V .S. Vladimirov, V .P . Mikhailov, A. A. Vasharin, Kh. Kh.Karimova, … Continue reading
Posted in books, mathematics, mir books, mir publishers, physics, problem books
Tagged boundary value problems, cauchy problems, differential equations, fourier transform, function spaces, generalised functions, green's function, integral equations, laplace transform, mathematical, partial differential equations, physics, physics problems and solutions, problem books, problem solving, Sturm-Liouville Problem, variational methods
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Equations of Mathematical Physics – Vladimirov
In this post, we will see the book Equations of Mathematical Physics by V. S. Vladimirov. About the book This book examines classical boundary value problems for differentia equations of mathematical physics. Instead of the traditional means of presentation, we … Continue reading
Posted in books, mathematics, physics, soviet
Tagged boundary value problems, cauchy problem, differential equations, dirichlet, dirichlet problem, elliptic equations, fourier method, Fredholm’s Theorems, Functions of Slow Growth, generalized functions, green's function, heat equation, helmholtz equation, Hilbert-Schmidt Theorem, hyperbolic equations, integral equations, laplace equation, linear differential operators, mathematical physics, newtonian potential, parabolic equations, poisson equations, spherical functions, strum-lioville problem, tempered distributions
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