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Lecture Notes in Geosystems Mathematics and Computing

Inverse Problems

Basics, Theory and Applications in Geophysics

Authors: Richter, Mathias

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  • Provides practical guidelines for actual numerical solution of concrete problems
  • Offers many detailed examples of practical interest from geophysics
  • Features mathematical theory on a level accessible for graduate students in engineering
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eBook $59.99
price for USA in USD (gross)
  • ISBN 978-3-319-48384-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $74.99
price for USA in USD
  • ISBN 978-3-319-48383-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

The overall goal of the book is to provide access to the regularized solution of inverse problems relevant in geophysics without requiring more mathematical knowledge than is taught in undergraduate math courses for scientists and engineers. From abstract analysis only the concept of functions as vectors is needed. Function spaces are introduced informally in the course of the text, when needed. Additionally, a more detailed, but still condensed introduction is given in Appendix B.

A second goal is to elaborate the single steps to be taken when solving an inverse problem: discretization, regularization and practical solution of the regularized optimization problem. These steps are shown in detail for model problems from the fields of inverse gravimetry and seismic tomography.

The intended audience is mathematicians, physicists and engineers having a good working knowledge of linear algebra and analysis at the upper undergraduate level.

Table of contents (4 chapters)

Table of contents (4 chapters)

Buy this book

eBook $59.99
price for USA in USD (gross)
  • ISBN 978-3-319-48384-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $74.99
price for USA in USD
  • ISBN 978-3-319-48383-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Inverse Problems
Book Subtitle
Basics, Theory and Applications in Geophysics
Authors
Series Title
Lecture Notes in Geosystems Mathematics and Computing
Copyright
2016
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-48384-9
DOI
10.1007/978-3-319-48384-9
Softcover ISBN
978-3-319-48383-2
Edition Number
1
Number of Pages
XII, 240
Number of Illustrations
20 b/w illustrations, 32 illustrations in colour
Topics