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Inside Out

All titles
Inside Out

Inside Out

Inverse Problems and Applications
Gunther Uhlmann, University of Washington
Mathematical Sciences Research Institute
August 2011
Paperback
9780521168748
$51.99
USD
Paperback
USD
Hardback
    Description

    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.

    • Contributions from leading experts in the theoretical and applied aspects of inverse problems
    • Extended surveys on several important topics in modern inverse problems, such as microlocal analysis, reflection seismology, tomography, inverse scattering, and X-ray transforms
    • Stimulating to researchers and accessible to graduate students

    Reviews & endorsements

    "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

    See more reviews

    Product details

    August 2011
    Paperback
    9780521168748
    414 pages
    234 × 156 × 21 mm
    0.58kg
    Available

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    Contents

    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.
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      Contributors

    • Adel Faridani, David V. Finch, David Colton, Plamen Stefanov, P. Scott Carney, John C. Schotland, Petri Ola, Lassi Päivärinta, Erkki Somersalo, Ih-Ren Lan, Gunther Uhlmann, Maarten V. De Hoop, Vesselin Petkov, Luchezar Stoyanov, Andras Vasy, Claude Bardos

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