Computational topology: an introduction

By:

Edelsbrunner, Herbert

Contributor(s):

Harer, J

Material type: Text

TextPublication details: American Mathematical Society 2012 Rhode IslandDescription: xii, 241 p. Includes an IndexISBN:

9781470409289

Subject(s):

DDC classification:

514 E2C6

Summary: 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. https://bookstore.ams.org/mbk-69/

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Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode	Item holds
Book	Ahmedabad General Stacks	Non-fiction	514 E2C6 (Browse shelf(Opens below))	Available		199754

Total holds: 0

Table of Contents

Title page
Contents
Preface
Part I. Computational geometric topology
Graphs
Surfaces
Complexes
Part II. Computational algebraic topology
Homology
Duality
Morse functions
Part III. Computational persistent topology
Persistence
Stability
Applications
References
Index
Back Cover
Preface
Preview Material
Table of Contents

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.

https://bookstore.ams.org/mbk-69/

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