Modern Approaches to Discrete Curvature

 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. Discret...

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Main Author: Najman, Laurent
Corporate Author: SpringerLink (Online service)
Other Authors: Romon, Pascal
Format: Electronic
Language: English
Published: Cham Springer International Publishing 2017, 2017
Series: Lecture Notes in Mathematics
Subjects:
Online Access: http://dx.doi.org/10.1007/978-3-319-58002-9?nosfx=y
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Summary:  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
Physical Description: XXVI, 353 p. 80 illus., 35 illus. in color online resource
ISBN: 9783319580029