Includes bibliographical references (pages 300-303) and index.
Introduction -- The wave equation -- The heat equation -- Laplace's equation -- Potential theory and Fredholm integral equations -- Scattering theory.
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This text offers students in mathematics, engineering, and the applied sciences a solid foundation for advanced studies in mathematics. Classical topics presented in a modern context include coverage of integral equations and basic scattering theory. Includes examples of inverse problems arising from improperly posed applications as well as exercises, many with answers.