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.

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.

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