Afra J. Zomorodian (Software Developer, Stanford University, Califo

Topology for Computing

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Cambridge Monographs on Applied and Computational Mathematics
• Verlag: Cambridge University Press
• Seitenzahl: 260
• Erscheinungstermin: 22. Juni 2016
• Englisch
• Abmessung: 229mm x 152mm x 15mm
• Gewicht: 396g
• ISBN-13: 9780521136099
• ISBN-10: 0521136091
• Artikelnr.: 26571750

Autorenporträt

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.

Inhaltsangabe

1. Introduction
Part I. Mathematics: 2. Spaces and filtrations
3. Group theory
4. Homology
5. Morse theory
6. New results
Part II. Algorithms: 7. The persistence algorithms
8. Topological simplification
9. The Morse-Smale algorithm
10. The linking number algorithm
Part III. Applications: 11. Software
12. Experiments
13. Applications.