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Geometric Tomography by Richard J. Gardner
Book DescriptionGeometric tomography deals with the retrieval of information about a geometric object from data concerning its projections (shadows) on planes or cross-sections by planes. It is a geometric relative of computerized tomography, which reconstructs an image from X-rays of a human patient. The subject overlaps with convex geometry and employs many tools from that area, including some formulas from integral geometry. It also has connections to discrete tomography, geometric probing in robotics and to stereology. This comprehensive study provides a rigorous treatment of the subject. Although primarily meant for researchers and graduate students in geometry and tomography, brief introductions, suitable for advanced undergraduates, are provided to the basic concepts. More than 70 illustrations are used to clarify the text. The book also presents 66 unsolved problems. Each chapter ends with extensive notes, historical remarks, and some biographies. This edition includes numerous updates and improvements, with some 300 new references bringing the total to over 800.
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Book DetailsISBN: 9780521866804
(234mm x 156mm x 33mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 19-Jun-2006
Country of Publication: United Kingdom
Books By Author Richard J. Gardner
Geometric Tomography, Paperback (June 2006)» View all books by Richard J. Gardner
A comprehensive, rigorous treatment of geometric tomography, with 66 unsolved problems, over 70 illustrations, and over 800 references.
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Author Biography - Richard J. Gardner
Richard Gardner has been Professor of Mathematics at Western Washington University since 1991. He is the author of 70 papers and founded geometric tomography as a subject in its own right with the publication of the first edition of this book in 1995.
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