Inside Out
Inverse Problems and Applications

In this book, leading experts in the theoretical and applied aspects of inverse problems offer extended surveys on several important topics.

Gunther Uhlmann (Edited by)

9780521824699, Cambridge University Press

Hardback, published 10 November 2003

414 pages
23.4 x 15.6 x 2.4 cm, 0.76 kg

Review of the hardback: 'This collection will be undoubtedly very useful to the researchers in the filed and postgraduate students as well.' EMS Nerwsletter

Inverse problems arise in practical situations such as medical imaging, geophysical exploration, and non-destructive evaluation where measurements made on the exterior of a body are used to determine properties of the inaccessible interior. There have been substantial developments in the mathematical theory of inverse problems, and applications have expanded greatly. In this volume, leading experts in the theoretical and applied aspects of inverse problems offer extended surveys on several important topics in modern inverse problems, such as microlocal analysis, reflection seismology, tomography, inverse scattering, and X-ray transforms. Each article covers a particular topic or topics with an emphasis on accessibility and integration with the whole volume. Thus the collection can be at the same time stimulating to researchers and accessible to graduate students.

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.

Subject Areas: Applied mathematics [PBW], Calculus & mathematical analysis [PBK]