ANALYTIC TOMOGRAPHY by Andrew Markoe, G.-C. Rota, B. Doran ( 9780521793476 ) - Books & Audio Books at Pickabook.co.uk

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Item Details

Title:

ANALYTIC TOMOGRAPHY

By:

Andrew Markoe, G.-C. Rota, B. Doran

Format:

Hardback

List price:

£134.00

Our price:

£117.25

Discount:

12.5% off

You save:

£16.75

ISBN 10:

0521793475

ISBN 13:

9780521793476

Availability:

Usually dispatched within 1-3 weeks.

Stock:

Currently 0 available

Publisher:

CAMBRIDGE UNIVERSITY PRESS

Pub. date:

1 December, 2005

Series:

Encyclopedia of Mathematics and Its Applications No. 106

Pages:

410

Description:

This study contains elementary introductions to properties of the Radon transform plus coverage of more advanced topics.

Synopsis:

This book is a comprehensive study of the Radon transform, which operates on a function by integrating it over hyperplanes. The book begins with an elementary and graphical introduction to the Radon transform, tomography and CT scanners, followed by a rigorous development of the basic properties of the Radon transform. Next the author introduces Grassmann manifolds in the study of the k-plane transform (a version of the Radon transform) which integrates over k-dimensional planes rather than hyperplanes. The remaining chapters are concerned with more advanced topics, such as the attenuated Radon transform and generalized Radon transforms defined by duality of homogeneous spaces and double fibrations. Questions of invertibility and the range of the Radon transform are dealt with and inversion formulas are developed with particular attention to functions on L2 spaces and some discussion of the case of Lp spaces.

Illustrations:

Illustrations

Publication:

UK

Imprint:

Cambridge University Press

Returns:

Returnable

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