Review of the hardback: 'It's a perfect introduction for students who want to learn the basic techniques with mathematical rigor and in a mathematical language … the book is admirably clear and does a good job in motivating the reader … 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

Review of the hardback: 'This collection will undoubtedly be very useful both to the researchers in the field and postgraduate students.' European Mathematical Society Newsletter

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

Produktdetaljer

ISBN
9780521824699
Publisert
2003-11-10
Utgiver
Vendor
Cambridge University Press
Vekt
760 gr
Høyde
234 mm
Bredde
156 mm
Dybde
24 mm
Aldersnivå
P, 06
Språk
Product language
Engelsk
Format
Product format
Innbundet
Antall sider
414

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