Equations Of Mathematical Physics
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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
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Author : Tyn Myint-U
language : en
Publisher: CUP Archive
Release Date : 1955
Partial Differential Equations Of Mathematical Physics written by Tyn Myint-U and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1955 with Differential equations, Partial categories.
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 honoured 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
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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.
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.
Partial Differential Equations In Classical Mathematical Physics
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Author : Isaak Rubinstein
language : en
Publisher: Cambridge University Press
Release Date : 1998-04-28
Partial Differential Equations In Classical Mathematical Physics written by Isaak Rubinstein and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-04-28 with Mathematics categories.
The unique feature of this book is that it considers the theory of partial differential equations in mathematical physics as the language of continuous processes, that is, as an interdisciplinary science that treats the hierarchy of mathematical phenomena as reflections of their physical counterparts. Special attention is drawn to tracing the development of these mathematical phenomena in different natural sciences, with examples drawn from continuum mechanics, electrodynamics, transport phenomena, thermodynamics, and chemical kinetics. At the same time, the authors trace the interrelation between the different types of problems - elliptic, parabolic, and hyperbolic - as the mathematical counterparts of stationary and evolutionary processes. This combination of mathematical comprehensiveness and natural scientific motivation represents a step forward in the presentation of the classical theory of PDEs, one that will be appreciated by both students and researchers alike.
A Collection Of Problems In Mathematical Physics
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Author : Boris Mikha?lovich Budak
language : en
Publisher: Courier Corporation
Release Date : 1964-01-01
A Collection Of Problems In Mathematical Physics written by Boris Mikha?lovich Budak 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.
Outstanding, wide-ranging material on classification and reduction to canonical form of second-order differential equations; hyperbolic, parabolic, elliptic equations, more. Bibliography.
Equations Of Mathematical Physics
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Author : Andrej Nikolaevič Tichonov (Mathematiker)
language : en
Publisher:
Release Date : 1963
Equations Of Mathematical Physics written by Andrej Nikolaevič Tichonov (Mathematiker) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with categories.
Differential Equations Of Mathematical Physics
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Author : Nikolaĭ Sergeevich Koshli͡akov
language : en
Publisher:
Release Date : 1964
Differential Equations Of Mathematical Physics written by Nikolaĭ Sergeevich Koshli͡akov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Differential equations categories.
Partial Differential Equations And Mathematical Physics
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Author : Kunihiko Kajitani
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-12-13
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 2002-12-13 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.