2010;
241 pp;
Hardcover

MSC: Primary 00; 52; 55; 57; 68;

Print ISBN: 978-0-8218-4925-5

Product Code: MBK/69

List Price: $62.00

Individual Member Price: $49.60

**Electronic ISBN: 978-1-4704-1208-1
Product Code: MBK/69.E**

List Price: $62.00

Individual Member Price: $49.60

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#### Supplemental Materials

# Computational Topology: An Introduction

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*Herbert Edelsbrunner; John L. Harer*

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.

#### Table of Contents

# Table of Contents

## Computational Topology: An Introduction

- Cover Cover11 free
- Title page iii4 free
- Contents vii8 free
- Preface xi12 free
- Part I. Computational geometric topology 114 free
- Graphs 316
- Surfaces 2740
- Complexes 5164
- Part II. Computational algebraic topology 7790
- Homology 7992
- Duality 103116
- Morse functions 125138
- Part III. Computational persistent topology 147160
- Persistence 149162
- Stability 175188
- Applications 199212
- References 227240
- Index 235248 free
- Back Cover Back Cover1255

#### Readership

Graduate students and research mathematicians interested in topology, algorithms, and applications to science and engineering.

#### Reviews

This book is a very welcome, untraditional, thorough and well-organized introduction to a young and quickly developing discipline on the crossroads between mathematics, computer science, and engineering.

-- DMV Newsletter