Topology for Computing: 16 (Cambridge Monographs on Applied and Computational Mathematics, Series Number 16) - Hardcover

Zomorodian, Afra J.

Hardcover

ISBN 10: 0521836662 ISBN 13: 9780521836661

Publisher: Cambridge University Press, 2005

Synopsis

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.

About this title

Review:

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

Book Description:

This book presents the basic concepts from the emerging field of computational topology that combines topology theory with the power of computing to solve problems in diverse fields. Written from a computer science perspective, the book enables non-specialists to grasp the ideas and so participate in current research in computational topology.

About this edition

• Publisher: Cambridge University Press
• Publication date: 2005
• ISBN 10: 0521836662
• ISBN 13: 9780521836661
• Binding: Hardcover
• Number of pages: 258