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Computational topology : an introduction

Author: Herbert Edelsbrunner; J Harer
Publisher: Providence, R.I. : American Mathematical Society, ©2010.
Series: Miscellaneous Books, no. 69
Edition/Format:   eBook : Document : EnglishView all editions and formats
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
(DLC) 2009028121
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Herbert Edelsbrunner; J Harer
ISBN: 9781470412081 147041208X
OCLC Number: 946298151
Description: 1 online resource (xii, 241 pages) : illustrations.
Contents: I. Graphs II. Surfaces III. Complexes IV. Homology V. Duality VI. Morse functions VII. Persistence VIII. Stability IX. Applications.
Series Title: Miscellaneous Books, no. 69
Responsibility: Herbert Edelsbrunner, John L. Harer.

Abstract:

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 alg.

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