Overview
- A unique coherent glimpse of the state-of-the-art in Discrete Curvature
- Of interest to both mathematicians and computer scientists
- A vertiginous collection of ideas and tools
- Includes supplementary material: sn.pub/extras
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2184)
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Table of contents (9 chapters)
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Front Matter
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Back Matter
Keywords
About this book
This book provides a valuable glimpse into discrete curvature, a rich new field of research which blends discrete mathematics, differential geometry, probability and computer graphics. It includes a vast collection of ideas and tools which will offer something new to all interested readers. Discrete geometry has arisen as much as a theoretical development as in response to unforeseen challenges coming from applications. Discrete and continuous geometries have turned out to be intimately connected. Discrete curvature is the key concept connecting them through many bridges in numerous fields: metric spaces, Riemannian and Euclidean geometries, geometric measure theory, topology, partial differential equations, calculus of variations, gradient flows, asymptotic analysis, probability, harmonic analysis, graph theory, etc. In spite of its crucial importance both in theoretical mathematics and in applications, up to now, almost no books have provided a coherent outlook on this emerging field.
Editors and Affiliations
Bibliographic Information
Book Title: Modern Approaches to Discrete Curvature
Editors: Laurent Najman, Pascal Romon
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-319-58002-9
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s) 2017
Softcover ISBN: 978-3-319-58001-2Published: 05 October 2017
eBook ISBN: 978-3-319-58002-9Published: 04 October 2017
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XXVI, 353
Number of Illustrations: 45 b/w illustrations, 35 illustrations in colour
Topics: Geometry, Algebraic Geometry, Discrete Mathematics, Computational Mathematics and Numerical Analysis