Topology for Computing by Afra J Zomorodian

Topology for Computing by Afra J Zomorodian

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.

'In my knowledge, it is the first book covering these topics' Numerical Algorithms

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 für Informatik, Saarbrücken. Using the material contained in this book, he has organized classes on computational topology at Stanford University, the MPI, and Dartmouth College.

SKU	Unavailable
ISBN 13	9780521136099
ISBN 10	0521136091
Title	Topology for Computing
Author	Afra J Zomorodian
Series	Cambridge Monographs On Applied And Computational Mathematics
Condition	Unavailable
Binding Type	Paperback
Publisher	Cambridge University Press
Year published	2009-09-28
Number of pages	260
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note	Unavailable