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Integral Equation Methods in Scattering Theory

Name: Integral Equation Methods in Scattering Theory
Brand: Society for Industrial & Applied Mathematics,U.S.
SKU: 04838329
Price: 111.77 EUR
Availability: InStock
Author: David Colton
ISBN: 9781611973150

David Colton

Rainer Kress

Jazyk

Angličtina

Kniha Brožovaná

Libristo kód: 04838329

Nakladateľstvo Society for Industrial & Applied Mathematics,U.S., november 2013

Scattering theory, a powerful method for the analysis of PDEs, represents one of the most important... Celý popis

Libristo kód: 04838329

270 b

111.77 €

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Scattering theory, a powerful method for the analysis of PDEs, represents one of the most important developments in mathematical physics of recent decades. This classic book is ideal as a supplemental text in a graduate course on scattering theory or inverse problems, and will also be of interest to research scientists in mathematics, physics and engineering. The exposition is based on a rigorous treatment of the Riesz-Fredholm theory of compact operators in dual systems, followed by a derivation of the jump conditions and mapping properties of scalar and vector potentials in spaces of continuous functions. These results are then used to study scattering problems for the Helmholtz and Maxwell equations. The reader will find an in-depth treatment of the use of boundary integral equations to solve scattering problems for acoustic and electromagnetic waves, and an introduction to inverse scattering theory with an emphasis on a function-theoretic approach.