This carefully edited survey volume introduces the reader to important problems for partial differential equations, including such diverse applications as quantum scattering, electric impedencee tomography, and identification of coefficients in partial differential equations.

Each article carefully outlines key concepts and uses well chosen examples to illustrate its main points. The extensive primary and secondary references provide access to the literature in this rapidly expanding area. This volume can introduce the novice to an area of challenging mathematical research and significant applications. At the same time, it is an authoritative reference for the specialist.

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