Computational Topology (inbunden)
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Format
Inbunden (Hardback)
Språk
Engelska
Antal sidor
241
Utgivningsdatum
2010-01-30
Upplaga
New ed.
Förlag
American Mathematical Society
Illustrationer
Illustrations
Dimensioner
266 x 184 x 31 mm
Vikt
612 g
Antal komponenter
1
ISBN
9780821849255

Computational Topology

An Introduction

av Herbert Edelsbrunner, John L Harer
Inbunden,  Engelska, 2010-01-30

Slutsåld

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.
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Kundrecensioner

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Fler böcker av författarna

Herbert Edelsbrunner, John L Harer

Recensioner i media

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

Övrig information

Herbert Edelsbrunner, Duke University, Durham, NC and Geomagic, Research Triangle Park, NC, USA John L. Harer, Duke University, Durham, NC, USA

Innehållsförteckning

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

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