Geometric Inverse Problems - With Emphasis on Two Dimensions (Hardcover)

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 Calderon 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.

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Series:	Cambridge Studies in Advanced Mathematics
Release date:	December 2022
Authors:	Gabriel P. Paternain • Mikko Salo • Gunther Uhlmann
Dimensions:	159 x 236 x 30mm (L x W x T)
Format:	Hardcover
Pages:	350
ISBN-13:	978-1-316-51087-2
Categories:	Books > Science & Mathematics > Mathematics > Numerical analysis Books > Science & Mathematics > Science: general issues > Scientific standards Books > Medicine > Other branches of medicine > Medical imaging > Tomography Books > Science & Mathematics > Mathematics > Geometry > General Promotions
LSN:	1-316-51087-5
Barcode:	9781316510872

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