Name: Geometric Inverse Problems: With Emphasis on two Dimensions (Cambridge Studies in Advanced Mathematics, Series Number 204) (en Inglés)
Price: 1639.39 MXN
Availability: InStock
Author: Paternain, Gabriel P. ; Salo, Mikko ; Uhlmann, Gunther
ISBN: 9781316510872

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portada Geometric Inverse Problems: With Emphasis on two Dimensions (Cambridge Studies in Advanced Mathematics, Series Number 204) (en Inglés)

Formato

Libro Físico

Autor

Gunther Uhlmann

Gabriel P. Paternain

Mikko Salo

Editorial

Cambridge University Press

Idioma

Inglés

N° páginas

350

Encuadernación

Tapa Dura

Dimensiones

22.9 x 15.2 x 2.4 cm

Peso

0.71 kg.

ISBN13

9781316510872

N° edición

Categorías

Cálculo diferencial y ecuaciones
Geometría

Geometric Inverse Problems: With Emphasis on two Dimensions (Cambridge Studies in Advanced Mathematics, Series Number 204) (en Inglés)

Gunther Uhlmann (Autor) · Gabriel P. Paternain (Autor) · Mikko Salo (Autor) · Cambridge University Press · Tapa Dura

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Reseña del libro "Geometric Inverse Problems: With Emphasis on two Dimensions (Cambridge Studies in Advanced Mathematics, Series Number 204) (en Inglés)"

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.