Applied Mathematical Sciences

An Introduction to the Mathematical Theory of Inverse Problems

Authors: Kirsch, Andreas

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  • Provides a balance of general results and particular cases 
  • First monograph on inverse problems which contains electrical impedance tomography and the Factorization Method
  • Presents new and expanded sections on nonlinear theory and nonlinear inverse problems
  • Includes updated examples 
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eBook $59.99
price for USA in USD
  • Due: April 16, 2021
  • ISBN 978-3-030-63343-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
Hardcover $79.99
price for USA in USD
  • Customers within the U.S. and Canada please contact Customer Service at +1-800-777-4643, Latin America please contact us at +1-212-460-1500 (24 hours a day, 7 days a week). Pre-ordered printed titles are excluded from promotions.
  • Due: February 15, 2021
  • ISBN 978-3-030-63342-4
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions & severe weather in the US may cause delays
About this Textbook

This graduate-level textbook introduces the reader to the area of inverse problems, vital to many fields including geophysical exploration, system identification, nondestructive testing, and ultrasonic tomography. It aims to expose the basic notions and difficulties encountered with ill-posed problems, analyzing basic properties of regularization methods for ill-posed problems via several simple analytical and numerical examples. The book also 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. Ultimately, the text discusses theoretical results as well as numerical procedures for the inverse problems, including many exercises and illustrations to complement coursework in mathematics and engineering. 

This updated text includes a new chapter on the theory of nonlinear inverse problems in response to the field’s growing popularity, as well as a new section on the interior transmission eigenvalue problem which complements the Sturm-Liouville problem and which has received great attention since the previous edition was published.  

About the authors

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

Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook $59.99
price for USA in USD
  • Due: April 16, 2021
  • ISBN 978-3-030-63343-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
Hardcover $79.99
price for USA in USD
  • Customers within the U.S. and Canada please contact Customer Service at +1-800-777-4643, Latin America please contact us at +1-212-460-1500 (24 hours a day, 7 days a week). Pre-ordered printed titles are excluded from promotions.
  • Due: February 15, 2021
  • ISBN 978-3-030-63342-4
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions & severe weather in the US may cause delays
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Bibliographic Information

Bibliographic Information
Book Title
An Introduction to the Mathematical Theory of Inverse Problems
Authors
Series Title
Applied Mathematical Sciences
Series Volume
120
Copyright
2021
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-63343-1
DOI
10.1007/978-3-030-63343-1
Hardcover ISBN
978-3-030-63342-4
Series ISSN
0066-5452
Edition Number
3
Number of Pages
XVII, 400
Number of Illustrations
13 b/w illustrations
Topics