Geometric Inverse Problems

Geometric Inverse Problems

EnglishHardbackPrint on demand
Paternain Gabriel P.
Cambridge University Press
EAN: 9781316510872
Print on demand
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Detailed information

This up-to-date treatment of recent developments in geometric inverse problems introduces graduate students and researchers to an exciting area of research. With an emphasis on the two-dimensional case, topics covered include geodesic X-ray transforms, boundary rigidity, tensor tomography, attenuated X-ray transforms and the Calderón problem. The presentation is self-contained and begins with the Radon transform and radial sound speeds as motivating examples. The required geometric background is developed in detail in the context of simple manifolds with boundary. An in-depth analysis of various geodesic X-ray transforms is carried out together with related uniqueness, stability, reconstruction and range characterization results. Highlights include a proof of boundary rigidity for simple surfaces as well as scattering rigidity for connections. The concluding chapter discusses current open problems and related topics. The numerous exercises and examples make this book an excellent self-study resource or text for a one-semester course or seminar.
EAN 9781316510872
ISBN 1316510875
Binding Hardback
Publisher Cambridge University Press
Publication date January 5, 2023
Pages 350
Language English
Dimensions 235 x 158 x 28
Country United Kingdom
Authors Paternain Gabriel P.; Salo, Mikko; Uhlmann Gunther
Illustrations Worked examples or Exercises
Series Cambridge Studies in Advanced Mathematics
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