EAN: 9783322992048

INVERSE PROBLEMS IN THE MATHEMATICAL SCIENCES -...

Inverse problems are immensely important in modern science and technology. However  the broad
mathematical issues raised by inverse problems receive scant attention in the university
curriculum. This book aims to remedy this state of affairs by supplying an accessible
introduction  at a modest mathematical level  to the alluring field of inverse problems. Many
models of inverse problems from science and engineering are dealt with and nearly a hundred
exercises  of varying difficulty  involving mathematical analysis  numerical treatment  or
modelling of inverse problems  are provided. The main themes of the book are: causation problem
modeled as integral equations  model identification problems  posed as coefficient
determination problems in differential equations  the functional analytic framework for inverse
problems  and a survey of the principal numerical methods for inverse problems. An extensive
annotated bibliography furnishes leads on the history of inverse problems and a guide to the
frontiers of current research.

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