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Partial Differential Equations of Mathematical Physics (89 Edition)

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Partial Differential Equations of Mathematical Physics (89 Edition) Cover

 

Synopses & Reviews

Please note that used books may not include additional media (study guides, CDs, DVDs, solutions manuals, etc.) as described in the publisher comments.

Publisher Comments:

The classical partial differential equations of mathematical physics, formulated by the great mathematicians of the 19th century, remain today the basis of investigation into waves, heat conduction, hydrodynamics, and other physical problems.

In this comprehensive treatment by a well-known Soviet mathematician, the equations are presented and explained in a manner especially designed to be accessible to the novice in the field. The reader is assumed to have no previous knowledge other than elementary analysis. From there, more advanced concepts are developed in detail and with great precision; moreover, theorems are often approached through the study of special simpler cases, before being proved in their full generality, and are applied to many particular physical problems.

After deriving the fundamental equations, the author provides illuminating expositions of such topics as Riemann's method, Lebesgue integration of multiple integrals, the equation of heat conduction, Laplace's equation and Poisson's equation, the theory of integral equations, Green's function, Fourier's method, harmonic polynomials and spherical functions, and much more.

For this third edition, various improvements in style and clarifications of the presentations were made, including a simplification of the theory of multiple Lebesgue integrals and greater precision in the proof of the Fourier method. Finally, the translation is both idiomatic as well as accurate, making the vast amount of information in this book more readily accessible to the English reader.

Synopsis:

Unusually accessible introduction to equations used to investigate many physical problems. Detailed, precise coverage of Riemann method, Lebesgue integration, Green's function, many other topics. Only knowledge of elementary analysis required. 1964 edition.

Synopsis:

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.

Product Details

ISBN:
9780486659640
Author:
Sobolev, S. L.
Author:
Sobolev, Sergei L.
Author:
Sobolev, S. L.
Author:
Sobo
Author:
lev, S. L.
Author:
Sobolev
Author:
Physics
Publisher:
Dover Publications
Subject:
Physics
Subject:
Mechanics
Subject:
Differential Equations
Subject:
Algebra - General
Subject:
Mathematical Physics
Subject:
Mechanics - General
Subject:
Physics-Classical Mechanics
Subject:
General Mathematics
Edition Description:
Trade Paper
Series:
Dover Books on Physics
Publication Date:
20110231
Binding:
TRADE PAPER
Language:
English
Pages:
448
Dimensions:
8.5 x 5.38 in 1.05 lb

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Related Subjects

History and Social Science » Linguistics » Specific Languages and Groups
Reference » Words Phrases and Language
Science and Mathematics » Mathematics » Differential Equations
Science and Mathematics » Mathematics » Physics
Science and Mathematics » Mathematics » Probability and Statistics » General
Science and Mathematics » Mathematics » Probability and Statistics » Statistics
Science and Mathematics » Physics » Classical Mechanics
Science and Mathematics » Physics » General
Science and Mathematics » Physics » Relativity Theory

Partial Differential Equations of Mathematical Physics (89 Edition) Used Trade Paper
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Product details 448 pages Dover Publications - English 9780486659640 Reviews:
"Synopsis" by ,
Unusually accessible introduction to equations used to investigate many physical problems. Detailed, precise coverage of Riemann method, Lebesgue integration, Green's function, many other topics. Only knowledge of elementary analysis required. 1964 edition.
"Synopsis" by ,
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.
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