Inside Out: Inverse Problems and Applications by Gunther UhlmannInside Out: Inverse Problems and Applications by Gunther Uhlmann

Inside Out: Inverse Problems and Applications

EditorGunther Uhlmann

Paperback | August 11, 2011

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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.
Title:Inside Out: Inverse Problems and ApplicationsFormat:PaperbackDimensions:414 pages, 9.21 × 6.14 × 0.83 inPublished:August 11, 2011Publisher:Cambridge University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0521168740

ISBN - 13:9780521168748


Table of Contents

Preface; 1. Introduction to the mathematics of computed tomography Adel Faridani; 2. The attenuated X-ray transform: recent developments David V. Finch; 3. Inverse acoustic and electromagnetic scattering theory David Colton; 4. Inverse problems in transport theory Plamen Stefanov; 5. Near-field tomography P. Scott Carney and John C. Schotland; 6. Inverse problems for time harmonic electrodynamics Petri Ola, Lassi Päivärinta and Erkki Somersalo; 7. Microlocal analysis of the X-ray transform with sources on a curve David Finch, Ih-Ren Lan, and Gunther Uhlmann; 8. Microlocal analysis of seismic inverse scattering Maarten V. de Hoop; 9. Sojourn times, singularities of the scattering kernel and inverse problems Vesselin Petkov and Luchezar Stoyanov; 10. Geometry and analysis in many-body scattering András Vasy; 11. A mathematical and deterministic analysis of the time-reversal mirror Claude Bardos.

Editorial Reviews

"It's safe to say that Uhlmann's book is a fingerpost in mathematical imaging for some time to come."
Bulletin of the American Mathematical Society