Topology for Computing
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Topology for Computing by Afra J. Zomorodian
Book DescriptionThe emerging field of computational topology utilizes theory from topology and the power of computing to solve problems in diverse fields. Recent applications include computer graphics, computer-aided design (CAD), and structural biology, all of which involve understanding the intrinsic shape of some real or abstract space. A primary goal of this book is to present basic concepts from topology and Morse theory to enable a non-specialist to grasp and participate in current research in computational topology. The author gives a self-contained presentation of the mathematical concepts from a computer scientist's point of view, combining point set topology, algebraic topology, group theory, differential manifolds, and Morse theory. He also presents some recent advances in the area, including topological persistence and hierarchical Morse complexes. Throughout, the focus is on computational challenges and on presenting algorithms and data structures when appropriate.
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Book DetailsISBN: 9780521836661
(228mm x 152mm x 16mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 10-Jan-2005
Country of Publication: United Kingdom
Books By Author Afra J. Zomorodian
Topology for Computing, Paperback (September 2009)» View all books by Afra J. Zomorodian
This book presents basic concepts from the emerging field of computational topology, now being used to solve problems in diverse fields.
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Author Biography - Afra J. Zomorodian
Afra J. Zomorodian is an assistant professor in the Department of Computer Science at Dartmouth College. He is a former Post-Doctoral Fellow in Bio-X and the Department of Computer Science at Stanford University, California and has been a researcher at the Max-Planck-Institut fur Informatik, Saarbrucken. Using the material contained in this book, he has organized classes on computational topology at Stanford University, the MPI, and Dartmouth College.
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