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Item Details
| Title:
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INTEGRAL GEOMETRY AND RADON TRANSFORMS
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| By: |
Sigurdur Helgason |
| Format: |
Paperback |
| List price:
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£54.99 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
1489994203 |
| ISBN 13: |
9781489994202 |
| Publisher: |
SPRINGER-VERLAG NEW YORK INC. |
| Pub. date: |
11 October, 2014 |
| Edition: |
2011 ed. |
| Pages: |
301 |
| Description: |
Integral geometry is a fascinating area where numerous branches of mathematics meet together. This book is concentrated around the duality and double fibration, which is realized through the masterful treatment of a variety of examples. |
| Synopsis: |
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 |
| Illustrations: |
1 Tables, black and white; XIII, 301 p. |
| Publication: |
US |
| Imprint: |
Springer-Verlag New York Inc. |
| Returns: |
Returnable |
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