Geometric inverse problems : with emphasis on two dimensions /

Geometric inverse problems : with emphasis on two dimensions /

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Bibliographic Details
Author / Creator:	Paternain, Gabriel P. (Gabriel Pedro), 1964- author.
Imprint:	Cambridge ; New York, NY : Cambridge University Press, 2023.
Description:	xxiv, 344 pages : illustrations ; 24cm.
Language:	English
Series:	Cambridge studies in advanced mathematics, 0950-6330 ; 204 Cambridge studies in advanced mathematics ; 204.
Subject:	Inverse problems (Differential equations) Inversions (Geometry) Geometry, Differential. Geometry, Differential. Inverse problems (Differential equations) Inversions (Geometry)
Format:	Print Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/13124362

Hidden Bibliographic Details
Other authors / contributors:	Salo, Mikko, author. Uhlmann, Gunther, 1952- author.
ISBN:	9781316510872 1316510875 9781009039901
Notes:	Foreward by András Vasy. Includes bibliographical references and index.
Summary:	"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 section discusses current open problems and related topics. The numerous exercises and examples make this book an excellent self-study resource or text for a onesemester course or seminar"--

Eckhart

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Call Number:	QA378.5.P38 2023
c.1	Available Loan period: standard loan Request for Pickup Need help? - Ask a Librarian