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Item Details
| Title:
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AN INTRODUCTION TO THE MATHEMATICAL THEORY OF INVERSE PROBLEMS
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| By: |
Andreas Kirsch |
| Format: |
Hardback |
| List price:
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£82.50 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
038794530X |
| ISBN 13: |
9780387945309 |
| Publisher: |
SPRINGER-VERLAG NEW YORK INC. |
| Pub. date: |
26 September, 1996 |
| Series: |
Applied Mathematical Sciences v. 120 |
| Pages: |
310 |
| Description: |
Introducing the reader to the area of inverse problems, this work has two aims. The first is to outline the basic notions and difficulties encountered with ill-posed problems. The second is to present two nonlinear inverse problems - the inverse spectral problem and the inverse scattering problem. |
| Synopsis: |
This book introduces the reader to the area of inverse problems. A relatively new branch of Applied Mathematics, the study of inverse problems is of vital interest to many areas of science and technology such as geophysical exploration, system identification, nondestructive testing and ultrasonic tomography. The aim of this book is twofold: in the first part, the reader is exposed to the basic notions and difficulties encountered with ill-posed problems. Basic properties of regularization methods for linear ill-posed problems are studied by means of several simple analytical and numerical examples.The second part of the book presents two special nonlinear inverse problems in detail - the inverse spectral problem and the inverse scattering problem. The corresponding direct problems are studied with respect to existence, uniqueness and continuous dependence on parameters. Then some theoretical results as well as numerical procedures for the inverse problems are discussed. The choice of material and its presentation in the book are new, thus making it particularly suitable for graduate students. Basic knowledge of real analysis is assumed. |
| Illustrations: |
12 black & white illustrations, 10 black & white tables |
| Publication: |
US |
| Imprint: |
Springer-Verlag New York Inc. |
| Returns: |
Non-returnable |
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