Springer Monographs in Mathematics

An Introduction to Echo Analysis

Scattering Theory and Wave Propagation

Authors: Roach, Gary

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  • Investigates both potential and target scattering phenomena
  • Bridges the gap between the practitioner and the mathematician interested in the spectral analysis of initial boundary problems for PDEs
  • Written for graduate and postgraduate students and researchers in mathematics and the applied sciences
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eBook $109.00
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  • ISBN 978-1-84628-852-4
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Hardcover $159.99
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Softcover $139.99
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About this book

The use of various types of wave energy is an increasingly promising, non-destructive means of detecting objects and of diagnosing the properties of quite complicated materials. An analysis of this technique requires an understanding of how waves evolve in the medium of interest and how they are scattered by inhomogeneities in the medium. These scattering phenomena can be thought of as arising from some perturbation of a given, known system and they are analysed by developing a scattering theory.

This monograph provides an introductory account of scattering phenomena and a guide to the technical requirements for investigating wave scattering problems. It gathers together the principal mathematical topics which are required when dealing with wave propagation and scattering problems, and indicates how to use the material to develop the required solutions.

Both potential and target scattering phenomena are investigated and extensions of the theory to the electromagnetic and elastic fields are provided. Throughout, the emphasis is on concepts and results rather than on the fine detail of proof; a bibliography at the end of each chapter points the interested reader to more detailed proofs of the theorems and suggests directions for further reading.

Aimed at graduate and postgraduate students and researchers in mathematics and the applied sciences, this book aims to provide the newcomer to the field with a unified, and reasonably self-contained, introduction to an exciting research area and, for the more experienced reader, a source of information and techniques.

Table of contents (12 chapters)

Table of contents (12 chapters)

Buy this book

eBook $109.00
price for USA in USD
  • ISBN 978-1-84628-852-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts available
Hardcover $159.99
price for USA in USD
Softcover $139.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
An Introduction to Echo Analysis
Book Subtitle
Scattering Theory and Wave Propagation
Authors
Series Title
Springer Monographs in Mathematics
Copyright
2008
Publisher
Springer-Verlag London
Copyright Holder
Springer-Verlag London
eBook ISBN
978-1-84628-852-4
DOI
10.1007/978-1-84628-852-4
Hardcover ISBN
978-1-84628-851-7
Softcover ISBN
978-1-84996-659-7
Series ISSN
1439-7382
Edition Number
1
Number of Pages
X, 320
Topics