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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Stable Solutions of Inverse Problems (Paperback, 1987 ed.)
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Stable Solutions of Inverse Problems (Paperback, 1987 ed.)
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These notes are intended to describe the basic concepts of solving
inverse problems in a stable way. Since almost all in- verse
problems are ill-posed in its original formulation the discussion
of methods to overcome difficulties which result from this fact is
the main subject of this book. Over the past fifteen years, the
number of publications on inverse problems has grown rapidly.
Therefore, these notes can be neither a comprehensive introduction
nor a complete mono- graph on the topics considered; it is designed
to provide the main ideas and methods. Throughout, we have not
striven for the most general statement, but the clearest one which
would cover the most situations. The presentation is intended to be
accessible to students whose mathematical background includes basic
courses in ad- vanced calculus, linear algebra and functional
analysis. Each chapter contains bibliographical comments. At the
end of Chap- ter 1 references are given which refer to topics which
are not studied in this book. I am very grateful to Mrs. B. Brodt
for typing and to W. Scondo and u. Schuch for inspecting the
manuscript.
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