Inside Out: Inverse Problems and Applications (Mathematical Sciences Research Institute Publications, Series Number 47)

✍ Scribed by Gunther Uhlmann (editor)

Publisher: Cambridge University Press
Year: 2003
Tongue: English
Leaves: 407
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

There have been substantial developments in the mathematical theory of inverse problems over the last twenty years and applications have expanded greatly in medical imaging, geophysical exploration, and non-destructive evaluation. In this book, leading experts in the theoretical and applied aspects of inverse problems offer extended surveys on several important topics in the field, such as microlocal analysis, reflection seismology, tomography, inverse scattering, and X-ray transforms.

✦ Table of Contents

Front MAtter
Contents
Preface
Introduction to the Mathematics
of Computed Tomography
The Attenuated X-Ray Transform:
Recent Developments
Inverse Acoustic and Electromagnetic
Scattering Theory
Inverse Problems in Transport Theory
Near-Field Tomography
Inverse Problems for Time Harmonic
Electrodynamics
Microlocal Analysis of the X-Ray Transformwith Sources on a Curve
Microlocal Analysis of Seismic Inverse Scattering
Sojourn Times, Singularities of the Scattering
Kernel and Inverse Problems
Geometry and Analysis in Many-Body Scattering
A Mathematical and Deterministic Analysisof the Time-Reversal Mirror

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