
- 336 pages
- English
- PDF
- Available on iOS & Android
Inverse Problems and Inverse Scattering of Plane Waves
About this book
The purpose of this text is to present the theory and mathematics of inverse scattering, in a simple way, to the many researchers and professionals who use it in their everyday research. While applications range across a broad spectrum of disciplines, examples in this text will focus primarly, but not exclusively, on acoustics. The text will be especially valuable for those applied workers who would like to delve more deeply into the fundamentally mathematical character of the subject matter.Practitioners in this field comprise applied physicists, engineers, and technologists, whereas the theory is almost entirely in the domain of abstract mathematics. This gulf between the two, if bridged, can only lead to improvement in the level of scholarship in this highly important discipline. This is the book's primary focus.
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Table of contents
- Front Cover
- Inverse Problems and Inverse Scattering of Plane Waves
- Contents
- Chapter 1. Introduction
- Chapter 2. Some Examples of Ill-posed Problems
- Chapter 3. Theory of Ill-posed Problems
- Chapter 4. Regularization by Projections
- Chapter 5. Discrete Ill-posed Problems
- Chapter 6. The Helmholtz Scattering
- Chapter 7. The Solutions
- Chapter 8. Uniqueness Theorems in Inverse Problems
- Chapter 9. Some Algorithms
- Chapter 10. Bibliography