Inside Out

Inverse Problems and Applications

AvGunther Uhlmann

Inbunden, Engelska, 2003

Del 47 i serien Mathematical Sciences Research Institute Publications

1 837 kr

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2003-11-10
Mått:160 x 244 x 28 mm
Vikt:710 g
Format:Inbunden
Språk:Engelska
Serie:Mathematical Sciences Research Institute Publications
Antal sidor:414
Förlag:Cambridge University Press
ISBN:9780521824699

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Recensioner i media

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

Innehållsförteckning

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.