Computational Topology: An Introduction

Herbert Edelsbrunner; John L. Harer

ISBN 10: 0821849255 / ISBN 13: 9780821849255

Verlag: American Mathematical Society, 2009

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Inhaltsangabe:

Combining concepts from topology and algorithms, this book delivers what its title promises: an introduction to the field of computational topology. Starting with motivating problems in both mathematics and computer science and building up from classic topics in geometric and algebraic topology, the third part of the text advances to persistent homology. This point of view is critically important in turning a mostly theoretical field of mathematics into one that is relevant to a multitude of disciplines in the sciences and engineering. The main approach is the discovery of topology through algorithms. The book is ideal for teaching a graduate or advanced undergraduate course in computational topology, as it develops all the background of both the mathematical and algorithmic aspects of the subject from first principles. Thus the text could serve equally well in a course taught in a mathematics department or computer science department.

Über die Autorin bzw. den Autor: Herbert Edelsbrunner, Duke University, Durham, NC and Geomagic, Research Triangle Park, NC, USA

John L. Harer, Duke University, Durham, NC, USA

Bibliografische Details

Titel: Computational Topology: An Introduction
Verlag: American Mathematical Society
Erscheinungsdatum: 2009
Einband: hardcover
Zustand: Good