Front cover image for Computational topology : an introduction

Computational topology : an introduction

Herbert Edelsbrunner, J. Harer (Author)
"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."--Jacket
Print Book, English, ©2010
American Mathematical Society, Providence, R.I., ©2010
xii, 241 pages : illustrations ; 27 cm
9780821849255, 0821849255
Computational geometric topology. Graphs
Computational algebraic topology. Homology
Morse functions
Computational persistent topology. Persistence
Table of contents Table of contents Additional Information at Google Books Inhaltsverzeichnis