Kirsch
An Introduction to the Mathemati Kirsch Softcover Reprint of the Original 1st Ed. 1996 edition

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An Introduction to the Mathemati

Kirsch

Softcover Reprint of the Original 1st Ed. 1996 edition

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.

300 pages, 10 black & white tables, biography

メディア	書籍 Book
リリース済み	2011年10月12日
ISBN13	9781461253402
出版社	Springer-Verlag New York Inc.
ページ数	300
寸法	156 × 234 × 16 mm · 457 g
言語	英語