Kernel Functions And Elliptic Differential Equations in Mathematical Physics

Bergman, Stefan; Schiffer, Menahem

ISBN 10: 0486445534 / ISBN 13: 9780486445533

Edité par Dover Pubns, 2005

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May have light to moderate shelf wear and/or a remainder mark. Complete. Clean pages. N° de réf. du vendeur 1484859

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Titre : Kernel Functions And Elliptic Differential ...

Éditeur : Dover Pubns

Date d'édition : 2005

Reliure : paperback

Etat : Very Good

Edition : First Edition.

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Synopsis :

This text focuses on the theory of boundary value problems in partial differential equations, which plays a central role in various fields of pure and applied mathematics, theoretical physics, and engineering. Geared toward upper-level undergraduates and graduate students, it discusses a portion of the theory from a unifying point of view and provides a systematic and self-contained introduction to each branch of the applications it employs.
The two-part treatment begins with a survey of boundary value problems occurring in certain branches of theoretical physics. It introduces fundamental solutions in a heuristic way and examines their physical significance. Many concepts can be unified by concentrating upon these particular kernels, and the text explains the common mathematical background of widely varying theories, such as those of heat conduction, hydrodynamics, electrostatics, magnetostatics, and elasticity. In addition to its intrinsic interest, this material provides illustrations and exact mathematical formulation of the problems and the methods. The second part is confined to a rather special type of partial differential equation, which is dealt with in the greatest detail so that students can make applications and generalizations to similar problems.