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Andreas Kirsch - An Introduction to the Mathematical Theory of Inverse Problems (Applied Mathematical Sciences) - 9781461428510 - V9781461428510
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An Introduction to the Mathematical Theory of Inverse Problems (Applied Mathematical Sciences)

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Description for An Introduction to the Mathematical Theory of Inverse Problems (Applied Mathematical Sciences) Paperback. This book introduces the area of inverse problems. It examines basic notions and difficulties encountered with ill-posed problems and presents two special nonlinear inverse problems in detail: the inverse spectral problem and the inverse scattering problem. Series: Applied Mathematical Sciences. Num Pages: 310 pages, biography. BIC Classification: PBF; PBKJ; PBW. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 17. Weight in Grams: 498.

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 ... Read more

In this new edition, the Factorization Method is included as one of the prominent members in this monograph. Since the Factorization Method is particularly simple for the problem of EIT and this field has attracted a lot of attention during the past decade a chapter on EIT has been added in this monograph as Chapter 5 while the chapter on inverse scattering theory is now Chapter 6.The main changes of this second edition compared to the first edition concern only Chapters 5 and 6 and the Appendix A. Chapter 5 introduces  the reader to the inverse problem of electrical impedance tomography.

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Product Details

Format
Paperback
Publication date
2013
Publisher
Springer
Condition
New
Series
Applied Mathematical Sciences
Number of Pages
310
Place of Publication
New York, NY, United States
ISBN
9781461428510
SKU
V9781461428510
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15

About Andreas Kirsch
Andreas Kirsch is a Professor in the Department of Mathematics at Karlsruhe Institute of Technology.

Reviews for An Introduction to the Mathematical Theory of Inverse Problems (Applied Mathematical Sciences)
From the reviews of the second edition: “Andreas Kirsch successfully wrote this book not only for mathematics students but also physics and engineering students. … I think that this book would work very nicely as a university textbook. … All sections of the books seemed sprinkled with the latest results, showing that there is a surprising amount of current ... Read more

Goodreads reviews for An Introduction to the Mathematical Theory of Inverse Problems (Applied Mathematical Sciences)


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