Topology for Computing
Topology for Computing
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Zusammenfassung
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.
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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 | Nicht verfügbar |
| ISBN 13 | 9780521136099 |
| ISBN 10 | 0521136091 |
| Titel | Topology for Computing |
| Autor | Afra J Zomorodian |
| Serie | Cambridge Monographs On Applied And Computational Mathematics |
| Buchzustand | Nicht verfügbar |
| Bindungsart | Paperback |
| Verlag | Cambridge University Press |
| Erscheinungsjahr | 2009-09-28 |
| Seitenanzahl | 260 |
| Hinweis auf dem Einband | Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden. |
| Hinweis | Nicht verfügbar |