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Linear and Boundary Integral Equations (Hardcover) Loot Price: R2,951
Discovery Miles 29 510
Linear and Boundary Integral Equations (Hardcover): V.G. Maz'ia, Sergei M. Nikol'skii

Linear and Boundary Integral Equations (Hardcover)

V.G. Maz'ia, Sergei M. Nikol'skii; V.G. Mazya, S.M. Nikolskij; Translated by A. Bottcher, S. Prossdorf

Series: Encyclopaedia of Mathematical Sciences, Vol 27

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The first part of this volume is a survey of the current state of the theory of linear integral equations. Material from abstract operator theory is presented first, before moving on to a detailed discussion of Fredholm operators and estimates for the eigenvalues and singular numbers of integral operators. Other sections of this part are devoted to the theories of one-, and higher-dimensional singular operators. The second part of the volume concentrates on theoretical aspects of the boundary integral equation method, with particular emphasis on the results for equations on non-smooth surfaces obtained during the last few years. A survey of the classical theory of harmonic potentials and the boundary integral equations on smooth surfaces generated by such potentials is given and the theory is then extended to elastic and hydrodynamic potentials and to other problems of mathematical physics, including the oblique derivative problem, the biharmonic equation, the heat and wave equations and viscoelasticity.

General

Imprint: Springer-Verlag
Country of origin: Germany
Series: Encyclopaedia of Mathematical Sciences, Vol 27
Release date: March 1991
First published: March 1991
Editors: V.G. Maz'ia • Sergei M. Nikol'skii
Authors: V.G. Mazya • S.M. Nikolskij
Translators: A. Bottcher • S. Prossdorf
Dimensions: 240mm (L)
Format: Hardcover
Pages: 240
ISBN-13: 978-3-540-51997-3
Subtitles: Russian
Categories: Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Integral equations
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LSN: 3-540-51997-1
Barcode: 9783540519973

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