Titlebook: Inverse Problems in the Mathematical Sciences; Charles W. Groetsch Book 1993 Springer Fachmedien Wiesbaden 1993 Mathematica.applied mathem

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Introduction,econstruct two or three-dimensional objects from projections. More than two thousand years ago, in book VII of his ., Plato posed essentially the problem in his allegory of the cave, namely, he considered the philosophical implications of reconstructing “reality”from observations of shadows cast upon a wall.

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Parameter Estimation in Differential Equations: Model Identification,Here is a problem that is fairly typical of those studied in the early weeks of an elementary differential equations course:

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Mathematical Background for Inverse Problems,ur aim is to introduce terminology, notation and basic concepts. For the most part, proofs are omitted; they can be found in the usual sources. The issues of existence, uniqueness and stability of solutions of linear inverse problems are addressed within the context of ill-posed operator equations and generalized inverses in the third section.

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