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The 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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Topology for Computing (Cambridge Monographs on Applied and Computational Mathematics)
January 10, 2005, Cambridge University Press
Hardcover
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0521836662 9780521836661
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TOPOLOGY FOR COMPUTING.
2005, CAMBRIDGE UNIV PRESS, Cambridge University Press
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Book Details
First Sentence
"Let us begin with a discussion of spaces."
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- Created April 29, 2008
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July 30, 2014 | Edited by ImportBot | import new book |
July 29, 2014 | Edited by ImportBot | import new book |
April 6, 2014 | Edited by ImportBot | Added IA ID. |
August 6, 2010 | Edited by IdentifierBot | added LibraryThing ID |
April 29, 2008 | Created by an anonymous user | Imported from amazon.com record |