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Synopsis
Provides a broad survey of integral equation methods in scattering theory, including both the direct and inverse problems. Presents a mathematical treatment of acoustic and electromagnetic waves. Covers basic properties of solutions to the Helmholtz and Maxwell equations. Includes discussions on the Riesz-Fredholm theory of compact operations, entire functions of a complex variable, univalent function theory, improperly posed problems, and weak compactness.
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Book Description
Beginning with a rigorous treatment of the Riesz–Fredholm theory of compact operators in dual systems, this classic book treats scattering problems for the Helmholtz and Maxwell equations and introduces inverse scattering theory. Ideal as both a text for graduate courses and as a guide for mathematicians, physicists and engineers.
About the Author
David Colton is Unidel Professor of Mathematics at the University of Delaware. He is the author or coauthor of six books, including The Linear Sampling Method in Inverse Electromagnetic Scattering (2011), written with Fioralba Cakoni and Peter Monk.
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- PublisherWiley–Blackwell
- Publication date1983
- ISBN 10 047186420X
- ISBN 13 9780471864202
- BindingHardcover
- LanguageEnglish
- Number of pages272
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Integral Equation Methods in Scattering Theory
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Integral Equation Methods in Scattering Theory (Pure & Applied Mathematics)
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Integral Equation Methods in Scattering Theory (Pure & Applied Mathematics)
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