portada Integral Equation Methods in Inverse Scattering Theory (en Inglés)

Integral Equation Methods in Inverse Scattering Theory (en Inglés)

Formato

Libro Físico

Autor

David Colton

Rainer Kress

Editorial

Society for Industrial and Applied Mathematic

Año

2013

Idioma

Inglés

N° páginas

290

Encuadernación

Tapa Blanda

ISBN13

9781611973150

Categorías

Cálculo

Integral Equation Methods in Inverse Scattering Theory (en Inglés)

David Colton (Autor) · Rainer Kress (Autor) · Society for Industrial and Applied Mathematic · Tapa Blanda

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Reseña del libro "Integral Equation Methods in Inverse Scattering Theory (en Inglés)"

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.