Partial Differential Equations of Mathematical Physics (Dover Books on Physics)

Sobolev, S. L.

ISBN 10: 048665964X / ISBN 13: 9780486659640

Verlag: Dover Publications, 2011

Connecting readers with great books since 1972! Used books may not include companion materials, and may have some shelf wear or limited writing. We ship orders daily and Customer Service is our top priority! Bestandsnummer des Verkäufers S_432176867

Inhaltsangabe:

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.

Über die Autorin bzw. den Autor:

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.

Bibliografische Details

Titel: Partial Differential Equations of ...
Verlag: Dover Publications
Erscheinungsdatum: 2011
Einband: paperback
Zustand: Very Good