Topology for Computing (BOK)

Afra J. Zomorodian

449,00 44900
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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.

Produktfakta

Språk Engelsk Engelsk Innbinding Heftet
Utgitt 2009 Forfatter Afra J. Zomorodian
Forlag
CAMBRIDGE UNIVERSITY PRESS
ISBN 9780521136099
Antall sider 258 Dimensjoner 15,2cm x 22,8cm x 1,2cm
Vekt 350 gram Leverandør Bertram Trading Ltd
Emner og form Mathematical theory of computation, Topology