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Interaction of Mechanics and Mathematics
cover

Qualitative Methods in Inverse Scattering Theory

An Introduction

Authors: Cakoni, Fioralba, Colton, David

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eBook $84.99
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  • ISBN 978-3-540-31230-7
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  • Immediate eBook download after purchase
Softcover $109.00
price for USA in USD
  • ISBN 978-3-540-28844-2
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About this Textbook

Inverse scattering theory has been a particularly active and successful field in applied mathematics and engineering for the past twenty years. The increasing demands of imaging and target identification require new powerful and flexible techniques besides the existing weak scattering approximation or nonlinear optimization methods. One class of such methods comes under the general description of qualitative methods in inverse scattering theory. This textbook is an easily-accessible "class-tested" introduction to the field. It is accessible also to readers who are not professional mathematicians, thus making these new mathematical ideas in inverse scattering theory available to the wider scientific and engineering community.

Reviews

From the reviews:

"This book presents a qualitative approach to inverse scattering theory for electromagnetic waves, and contains also complementary material for the corresponding direct problems. It consists of 9 chapters, references and an index. The topics are presented at an introductional level, accessible to anyone having a mathematical background only in advanced calculus and linear algebra. … The book is well-written, and readable at the level of advanced graduate students." (Luis Filipe Pinheiro de Castro, Zentralblatt MATH, Vol. 1099 (1), 2007)

"This book is an excellent introduction to the newly developed class of methods in inverse scattering theory … . the authors make a huge pedagogical effort to make the book self-contained and accessible to readers without a strong mathematical background. … This is definitely the book to start with for anyone who would like to be introduced to this new field in inverse scattering theory." (Houssem Haddar, Mathematical Reviews, Issue 2008 c)


Table of contents (9 chapters)

Table of contents (9 chapters)
  • Functional Analysis and Sobolev Spaces

    Pages 1-25

  • Ill-Posed Problems

    Pages 27-43

  • Scattering by an Imperfect Conductor

    Pages 45-60

  • The Inverse Scattering Problem for an Imperfect Conductor

    Pages 61-80

  • Scattering by an Orthotropic Medium

    Pages 81-104

Buy this book

eBook $84.99
price for USA in USD (gross)
  • ISBN 978-3-540-31230-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $109.00
price for USA in USD
  • ISBN 978-3-540-28844-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Qualitative Methods in Inverse Scattering Theory
Book Subtitle
An Introduction
Authors
Series Title
Interaction of Mechanics and Mathematics
Copyright
2006
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-31230-7
DOI
10.1007/3-540-31230-7
Softcover ISBN
978-3-540-28844-2
Series ISSN
1860-6245
Edition Number
1
Number of Pages
VIII, 227
Number of Illustrations
14 b/w illustrations
Topics