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Inside Out : Inverse Problems and Applications - Gunther Uhlmann

Inside Out

Inverse Problems and Applications

By: Gunther Uhlmann (Editor)


Published: 11th August 2011
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This book was originally published in 2003. 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.

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

Prefacep. ix
Introduction to the Mathematics of Computed Tomographyp. 1
The Attenuated X-Ray Transform: Recent Developmentsp. 47
Inverse Acoustic and Electromagnetic Scattering Theoryp. 67
Inverse Problems in Transport Theoryp. 111
Near-Field Tomographyp. 133
Inverse Problems for Time Harmonic Electrodynamicsp. 169
Microlocal Analysis of the X-Ray Transform with Sources on a Curvep. 193
Microlocal Analysis of Seismic Inverse Scatteringp. 219
Sojourn Times, Singularities of the Scattering Kernel and Inverse Problemsp. 297
Geometry and Analysis in Many-Body Scatteringp. 333
A Mathematical and Deterministic Analysis of the Time-Reversal Mirrorp. 381
Table of Contents provided by Ingram. All Rights Reserved.

ISBN: 9780521168748
ISBN-10: 0521168740
Series: Mathematical Sciences Research Institute Publications
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 414
Published: 11th August 2011
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 23.4 x 15.6  x 2.1
Weight (kg): 0.58