Inverse Problems in the Mathematical Sciences: Vol 6 (Theory & practice of applied geophysics) - Hardcover

Groetsch, Charles W.

Hardcover

ISBN 10: 3528065451 ISBN 13: 9783528065454

Publisher: Friedrich Vieweg & Sohn Verlagsgesellschaft mbH, 1993

Synopsis

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.

About this title

About the Author

C. W. Groetsch ist Professor fur Mathematik an der University of Cincinnati, USA.

Edition details

• Publisher: Friedrich Vieweg & Sohn Verlagsgesellschaft mbH
• Publication date: 1993
• Language: English
• ISBN 10: 3528065451
• ISBN 13: 9783528065454
• Binding: Hardcover
• Number of pages: 154