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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Integral equations
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Integral Geometry and Radon Transforms (Paperback, 2011 ed.)
Loot Price: R1,564
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Integral Geometry and Radon Transforms (Paperback, 2011 ed.)
Expected to ship within 10 - 15 working days
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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
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