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Published by Cambridge University Press, 2023
ISBN 10: 1316510875 ISBN 13: 9781316510872
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Published by Cambridge University Press, 2023
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ISBN 10: 1316510875 ISBN 13: 9781316510872
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Condition: New. Über den AutorGabriel P. Paternain is Professor of Mathematics at the Department of Pure Mathematics and Mathematical Statistics at the University of Cambridge and a Fellow of Trinity College. His research has covered an ample mathe.
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Taschenbuch. Condition: Neu. Geodesic Flows | Gabriel P. Paternain | Taschenbuch | Progress in Mathematics | xiii | Englisch | 2012 | Birkhäuser | EAN 9781461272120 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
Language: English
Published by Cambridge University Press Jan 2023, 2023
ISBN 10: 1316510875 ISBN 13: 9781316510872
Seller: AHA-BUCH GmbH, Einbeck, Germany
Buch. Condition: Neu. Neuware - 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.