| 期刊全稱 | An Introduction to the Mathematical Theory of Inverse Problems | | 影響因子2023 | Andreas Kirsch | | 視頻video | http://file.papertrans.cn/156/155568/155568.mp4 | | 發(fā)行地址 | Good mixture of general results and particular cases -.First monograph on inverse problems which contains electrical impedance tomography and the Factorization Method.New chapters added | | 學科分類 | Applied Mathematical Sciences | | 圖書封面 |  | | 影響因子 | .This book introduces the reader to the area of inverse problems. 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..In this new edition, the Factorization Method is included as one of the prominent members | | Pindex | Textbook 20112nd edition |
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