TOPOLOGY FOR COMPUTING by Afra J. Zomorodian ( 9780511546945 )

Item Details

Title:

TOPOLOGY FOR COMPUTING

By:

Format:

Electronic book text

List price:	£85.00
We currently do not stock this item, please contact the publisher directly for further information.

ISBN 10:

0511546947

ISBN 13:

9780511546945

Publisher:

CAMBRIDGE UNIVERSITY PRESS

Pub. date:

19 August, 2009

Series:

Cambridge Monographs on Applied and Computational Mathematics 16

Description:

This book presents basic concepts from the emerging field of computational topology, now being used to solve problems in diverse fields.

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.

Illustrations:

118 b/w illus. 2 colour illus.

Publication:

Imprint:

Cambridge University Press (Virtual Publishing)

Returns:

Non-returnable

Some other items by this author:

ADVANCES IN APPLIED AND COMPUTATIONAL TOPOLOGY (HB)

TOPOLOGY FOR COMPUTING (HB)

TOPOLOGY FOR COMPUTING (PB)