Kernel Functions And Elliptic Differential Equations in Mathematical Physics - Brossura

Libro 162 di 303: Dover Books on Mathematics

Bergman, Stefan; Schiffer, Menahem

 
9780486445533: Kernel Functions And Elliptic Differential Equations in Mathematical Physics
Brossura
ISBN 10: 0486445534 ISBN 13: 9780486445533
Casa editrice: Dover Pubns, 2005

Sinossi

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.

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Contenuti

Preface Note to the Reader A. Boundary Value Problems for Partial Differential Equations of Elliptic Type 1. Theory of Heat Conduction 2. Fluid Dynamics 3. Electro- and Magnetostatics 4. Elasticity B. Kernel Function Methods in the Theory of Boundary Value Problems 1. Properties of Solutions 2. The Kernel Functions and Their Properties 3. Variational and Comparison Theory 4. Existence Theory 5. Dependence of Kernels on Boundary Conditions and the Differential Equation 6. Generalizations List of Symbols Used in Part B Bibliography Author Index Subject Index

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Editore
Dover Pubns
Data di pubblicazione
2005
Lingua
Inglese
ISBN 10 
0486445534
ISBN 13 
9780486445533
Rilegatura
Copertina flessibile
Numero edizione
1
Numero di pagine
432
Contatto del produttore
non disponibile
Persona responsabile
Soc. Agr. La Raia Ss
http://www.la-raia.it

Strada Monterotondo, 79
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