Computational Topology
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Computational Topology: An Introduction(Monograph Books)

Computational Topology: An Introduction(Monograph Books)


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About the Book

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:
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

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

Review :
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


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Product Details
  • ISBN-13: 9780821849255
  • Publisher: American Mathematical Society
  • Publisher Imprint: American Mathematical Society
  • Language: English
  • Returnable: N
  • Sub Title: An Introduction
  • ISBN-10: 0821849255
  • Publisher Date: 01 Jan 2010
  • Binding: Hardback
  • No of Pages: 241
  • Series Title: Monograph Books
  • Weight: 605 gr


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