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Equations Of Mathematical Physics


Equations Of Mathematical Physics
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Equations Of Mathematical Physics


Equations Of Mathematical Physics
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Author : A. N. Tikhonov
language : en
Publisher: Courier Corporation
Release Date : 2013-09-16

Equations Of Mathematical Physics written by A. N. Tikhonov and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-16 with Mathematics categories.


Mathematical physics plays an important role in the study of many physical processes — hydrodynamics, elasticity, and electrodynamics, to name just a few. Because of the enormous range and variety of problems dealt with by mathematical physics, this thorough advanced undergraduate- or graduate-level text considers only those problems leading to partial differential equations. Contents: I. Classification of Partial Differential Equations II. Evaluations of the Hyperbolic Type III. Equations of the Parabolic Type IV. Equations of Elliptic Type V. Wave Propagation in Space VI. Heat Conduction in Space VII. Equations of Elliptic Type (Continuation) The authors — two well-known Russian mathematicians — have focused on typical physical processes and the principal types of equations dealing with them. Special attention is paid throughout to mathematical formulation, rigorous solutions, and physical interpretation of the results obtained. Carefully chosen problems designed to promote technical skills are contained in each chapter, along with extremely useful appendixes that supply applications of solution methods described in the main text. At the end of the book, a helpful supplement discusses special functions, including spherical and cylindrical functions.



Partial Differential Equations Of Mathematical Physics


Partial Differential Equations Of Mathematical Physics
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Author : Arthur Godon Webster
language : en
Publisher: Courier Dover Publications
Release Date : 2016-06-20

Partial Differential Equations Of Mathematical Physics written by Arthur Godon Webster and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-20 with Mathematics categories.


A classic treatise on partial differential equations, this comprehensive work by one of America's greatest early mathematical physicists covers the basic method, theory, and application of partial differential equations. In addition to its value as an introductory and supplementary text for students, this volume constitutes a fine reference for mathematicians, physicists, and research engineers. Detailed coverage includes Fourier series; integral and elliptic equations; spherical, cylindrical, and ellipsoidal harmonics; Cauchy's method; boundary problems; the Riemann-Volterra method; and many other basic topics. The self-contained treatment fully develops the theory and application of partial differential equations to virtually every relevant field: vibration, elasticity, potential theory, the theory of sound, wave propagation, heat conduction, and many more. A helpful Appendix provides background on Jacobians, double limits, uniform convergence, definite integrals, complex variables, and linear differential equations.



Partial Differential Equations Of Mathematical Physics


Partial Differential Equations Of Mathematical Physics
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Author : S. L. Sobolev
language : en
Publisher: Courier Corporation
Release Date : 1964-01-01

Partial Differential Equations Of Mathematical Physics written by S. L. Sobolev and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964-01-01 with Science categories.


This volume presents an unusually accessible introduction to equations fundamental to the investigation of waves, heat conduction, hydrodynamics, and other physical problems. Topics include derivation of fundamental equations, Riemann method, equation of heat conduction, theory of integral equations, Green's function, and much more. The only prerequisite is a familiarity with elementary analysis. 1964 edition.



A Collection Of Problems On The Equations Of Mathematical Physics


A Collection Of Problems On The Equations Of Mathematical Physics
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Author : Andreĭ Vasilʹevich Bit︠s︡adze
language : en
Publisher: Springer
Release Date : 1986

A Collection Of Problems On The Equations Of Mathematical Physics written by Andreĭ Vasilʹevich Bit︠s︡adze and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.




Equations Of Mathematical Physics


Equations Of Mathematical Physics
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Author : Andreĭ Nikolaevich Tikhonov
language : en
Publisher:
Release Date : 1963

Equations Of Mathematical Physics written by Andreĭ Nikolaevich Tikhonov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with Differential equations categories.




Trends In Partial Differential Equations Of Mathematical Physics


Trends In Partial Differential Equations Of Mathematical Physics
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Author : José F. Rodrigues
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-30

Trends In Partial Differential Equations Of Mathematical Physics written by José F. Rodrigues and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-30 with Mathematics categories.


This book consists of contributions originating from a conference in Obedo, Portugal, which honored the 70th birthday of V.A. Solonnikov. A broad variety of topics centering on nonlinear problems is presented, particularly Navier-Stokes equations, viscosity problems, diffusion-absorption equations, free boundaries, and Euler equations.



Equations In Mathematical Physics


Equations In Mathematical Physics
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Author : Victor P. Pikulin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-01-03

Equations In Mathematical Physics written by Victor P. Pikulin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-03 with Mathematics categories.


Many physical processes in fields such as mechanics, thermodynamics, electricity, magnetism or optics are described by means of partial differential equations. The aim of the present book is to demontstrate the basic methods for solving the classical linear problems in mathematical physics of elliptic, parabolic and hyperbolic type. In particular, the methods of conformal mappings, Fourier analysis and Green`s functions are considered, as well as the perturbation method and integral transformation method, among others. Every chapter contains concrete examples with a detailed analysis of their solution.The book is intended as a textbook for students in mathematical physics, but will also serve as a handbook for scientists and engineers.



Partial Differential Equations Of Mathematical Physics


Partial Differential Equations Of Mathematical Physics
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Author : S. L. Sobolev
language : en
Publisher: Elsevier
Release Date : 2014-05-16

Partial Differential Equations Of Mathematical Physics written by S. L. Sobolev and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-16 with Science categories.


Partial Differential Equations of Mathematical Physics emphasizes the study of second-order partial differential equations of mathematical physics, which is deemed as the foundation of investigations into waves, heat conduction, hydrodynamics, and other physical problems. The book discusses in detail a wide spectrum of topics related to partial differential equations, such as the theories of sets and of Lebesgue integration, integral equations, Green's function, and the proof of the Fourier method. Theoretical physicists, experimental physicists, mathematicians engaged in pure and applied mathematics, and researchers will benefit greatly from this book.



Partial Differential Equations And Mathematical Physics


Partial Differential Equations And Mathematical Physics
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Author : Kunihiko Kajitani
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Partial Differential Equations And Mathematical Physics written by Kunihiko Kajitani and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


The 17 invited research articles in this volume, all written by leading experts in their respective fields, are dedicated to the great French mathematician Jean Leray. A wide range of topics with significant new results---detailed proofs---are presented in the areas of partial differential equations, complex analysis, and mathematical physics. Key subjects are: * Treated from the mathematical physics viewpoint: nonlinear stability of an expanding universe, the compressible Euler equation, spin groups and the Leray--Maslov index, * Linked to the Cauchy problem: an intermediate case between effective hyperbolicity and the Levi condition, global Cauchy--Kowalewski theorem in some Gevrey classes, the analytic continuation of the solution, necessary conditions for hyperbolic systems, well posedness in the Gevrey class, uniformly diagonalizable systems and reduced dimension, and monodromy of ramified Cauchy problem. Additional articles examine results on: * Local solvability for a system of partial differential operators, * The hypoellipticity of second order operators, * Differential forms and Hodge theory on analytic spaces, * Subelliptic operators and sub- Riemannian geometry. Contributors: V. Ancona, R. Beals, A. Bove, R. Camales, Y. Choquet- Bruhat, F. Colombini, M. De Gosson, S. De Gosson, M. Di Flaviano, B. Gaveau, D. Gourdin, P. Greiner, Y. Hamada, K. Kajitani, M. Mechab, K. Mizohata, V. Moncrief, N. Nakazawa, T. Nishitani, Y. Ohya, T. Okaji, S. Ouchi, S. Spagnolo, J. Vaillant, C. Wagschal, S. Wakabayashi The book is suitable as a reference text for graduate students and active researchers.



Equations Of Mathematical Physics


Equations Of Mathematical Physics
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Author : Andrej Nikolaevič Tichonov
language : en
Publisher:
Release Date : 1969

Equations Of Mathematical Physics written by Andrej Nikolaevič Tichonov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with categories.