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Inside Out
Inverse Problems and Applications

AUD$58.95 inc GST

Part of Mathematical Sciences Research Institute Publications

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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  • Date Published: August 2011
  • availability: Available
  • format: Paperback
  • isbn: 9780521168748

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  • 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
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    Reviews & endorsements

    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

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    Product details

    • Date Published: August 2011
    • format: Paperback
    • isbn: 9780521168748
    • length: 414 pages
    • dimensions: 234 x 156 x 21 mm
    • weight: 0.58kg
    • availability: Available
  • 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.

  • Editor

    Gunther Uhlmann, University of Washington

    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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