Partial Differential Equations of Mathematical Physics

Sobolev, S. L.

ISBN 10: 048665964X / ISBN 13: 9780486659640

Editore: Dover Publications, Incorporated, 2011

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Ships from the UK. Former library book; may include library markings. Used book that is in clean, average condition without any missing pages. Codice articolo 9769714-6

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Titolo: Partial Differential Equations of ...

Casa editrice: Dover Publications, Incorporated

Data di pubblicazione: 2011

Legatura: Brossura

Condizione: Good

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Riassunto:

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.

Informazioni sull?autore:

Soviet mathematician Sergei L. Sobolev specialized in mathematical analysis and partial differential equations. He introduced several mathematical notations that are now fundamental to advanced mathematics, including Sobolov spaces, generalized functions, and the theory of distribution.