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.
Product Identifiers
Publisher
Cambridge University Press
ISBN-13
9780521136099
eBay Product ID (ePID)
89017308
Product Key Features
Author
Afra J. Zomorodian
Publication Name
Topology for Computing
Format
Paperback
Language
English
Subject
Computer Science, Mathematics
Publication Year
2009
Type
Textbook
Number of Pages
260 Pages
Dimensions
Item Height
226mm
Item Width
152mm
Item Weight
360g
Additional Product Features
Title_Author
Afra J. Zomorodian
Series Title
Cambridge Monographs on Applied and Computational Mathematics
Country/Region of Manufacture
United Kingdom
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