Selected Topics in Integral Geometry

ISBN-10
1470446448
ISBN-13
9781470446444
Category
Integral geometry
Language
English
Published
2003
Author
Izrailʹ Moiseevich Gelʹfand

Description

The miracle of integral geometry is that it is often possible to recover a function on a manifold just from the knowledge of its integrals over certain submanifolds. The founding example is the Radon transform, introduced at the beginning of the 20th century. Since then, many other transforms were found, and the general theory was developed. Moreover, many important practical applications were discovered, the best known, but by no means the only one, being to medical tomography. The present book is a general introduction to integral geometry, the first from this point of view for almost four d.

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