Name: Integral Geometry and Radon Transforms (en Inglés)
Price: 65.02 USD
Availability: InStock
Author: Sigurdur Helgason
ISBN: 9781489994202

portada Integral Geometry and Radon Transforms (en Inglés)

Integral Geometry and Radon Transforms (en Inglés)

Formato

Libro Físico

Editorial

Springer

Autor

Sigurdur Helgason

Idioma

Inglés

N° páginas

314

Encuadernación

Tapa Blanda

ISBN13

9781489994202

N° edición

2011th

Integral Geometry and Radon Transforms (en Inglés)

Sigurdur Helgason (Autor) · Springer · Tapa Blanda

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Reseña del libro "Integral Geometry and Radon Transforms (en Inglés)"

In this text, integral geometry deals with Radon's problem of representing a function on a manifold in terms of its integrals over certain submanifolds--hence the term the Radon transform. Examples and far-reaching generalizations lead to fundamental problems such as: (i) injectivity, (ii) inversion formulas, (iii) support questions, (iv) applications (e.g., to tomography, partial di erential equations and group representations). For the case of the plane, the inversion theorem and the support theorem have had major applications in medicine through tomography and CAT scanning. While containing some recent research, the book is aimed at beginning graduate students for classroom use or self-study. A number of exercises point to further results with documentation. From the reviews: "Integral Geometry is a fascinating area, where numerous branches of mathematics meet together. the contents of the book is concentrated around the duality and double vibration, which is realized through the masterful treatment of a variety of examples. the book is written by an expert, who has made fundamental contributions to the area." --Boris Rubin, Louisiana State University