Kirsch, Andreas

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

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ISBN 13:
9783030633455
author:
Kirsch, Andreas
format:
Paperback
publisher:
Springer Nature Switzerland AG
language:
English
Publication Year:
2022
Pages:
400
Dimensions:
23.4 x 15.6 x 2.2 centimetres (0
Genre:
Professional & Vocational, Science, Mathematics,
Condition:
New
Availability:
Item usually sent within 5 working days
£54.54

Description

An Introduction to the Mathematical Theory of Inverse Problems by Andreas Kirsch provides a comprehensive graduate-level introduction to the area of inverse problems. This vital field is crucial in various disciplines, including geophysical exploration and nondestructive testing. The book explores basic notions and difficulties encountered with ill-posed problems, analyzing properties of regularization methods through simple analytical and numerical examples. It also delves into three special nonlinear inverse problems: the inverse spectral problem, electrical impedance tomography (EIT), and the inverse scattering problem. The corresponding direct problems are examined in terms of existence, uniqueness, and continuous dependence on parameters. The text discusses theoretical results as well as numerical procedures for the inverse problems, featuring many exercises and illustrations to support coursework in mathematics and engineering. This updated edition includes a new chapter on nonlinear inverse problems and a section on the interior transmission eigenvalue problem, complementing the Sturm-Liouville problem and addressing recent attention in the field.

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