Equations of Mathematical Physics

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  • Equations of Mathematical Physics Book Detail

  • Author : A. N. Tikhonov
  • Release Date : 2013-09-16
  • Publisher : Courier Corporation
  • Genre : Mathematics
  • Pages : 802
  • ISBN 13 : 0486173364
  • File Size : 61,61 MB

Equations of Mathematical Physics by A. N. Tikhonov PDF Summary

Book Description: 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.

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Equations of Mathematical Physics

Equations of Mathematical Physics

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Mathematical physics plays an important role in the study of many physical processes — hydrodynamics, elasticity, and electrodynamics, to name just a few. Bec

nonlinear analysis and applications

nonlinear analysis and applications

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This book attempts to put together the works of a wide range of mathematical scientists. It consists of the proceedings of the Seventh Conference on "Nonlinear