An Introduction to the Mathematical Theory of Inverse Problems
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The work An Introduction to the Mathematical Theory of Inverse Problems represents a distinct intellectual or artistic creation found in University of Manitoba Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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An Introduction to the Mathematical Theory of Inverse Problems
Resource Information
The work An Introduction to the Mathematical Theory of Inverse Problems represents a distinct intellectual or artistic creation found in University of Manitoba Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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 An Introduction to the Mathematical Theory of Inverse Problems
 Statement of responsibility
 by Andreas Kirsch
 Language

 eng
 eng
 Summary
 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 illposed problems. Basic properties of regularization methods for linear illposed problems are studied by means of several simple analytical and numerical examples. The second part of the book presents three special nonlinear inverse problems in detail  the inverse spectral problem, the inverse problem of electrical impedance tomography (EIT), 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. 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. The book is highly illustrated and contains many exercises. This together with the choice of material and its presentation in the book are new, thus making it particularly suitable for graduate students in mathematics and engineering
 Dewey number

 515.357
 515/.357
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 E0faDSoUV9o
 Language note
 English
 LC call number
 QA370380
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Applied Mathematical Sciences,
 Series volume
 120
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