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OverviewCombining 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. Full Product DetailsAuthor: Herbert Edelsbrunner , John L. HarerPublisher: American Mathematical Society Imprint: American Mathematical Society ISBN: 9781470467692ISBN 10: 1470467690 Pages: 241 Publication Date: 30 January 2010 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsComputational geometric topology: Graphs Surfaces Complexes Computational algebraic topology: Homology Duality Morse functions Computational persistent topology: Persistence Stability Applications References IndexReviewsThis 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 Author InformationHerbert Edelsbrunner, Duke University, Durham, NC, Geomagic, Research Triangle Park, NC. John L. Harer, Duke University, Durham, NC. Tab Content 6Author Website:Countries AvailableAll regions |
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