Modern approaches to discrete curvature /

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Bibliographic Details
Imprint:Cham, Switzerland : Springer, 2017.
Description:1 online resource (xxvi, 353 pages) : illustrations (some color)
Language:English
Series:Lecture notes in mathematics, 0075-8434 ; 2184
Lecture notes in mathematics (Springer-Verlag) ; 2184.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11384541
Hidden Bibliographic Details
Other authors / contributors:Najman, Laurent, editor.
Romon, Pascal, editor.
ISBN:9783319580029
3319580027
3319580019
9783319580012
Digital file characteristics:text file
PDF
Notes:Includes bibliographical references and index.
Online resource; title from PDF title page (SpringerLink, viewed October 13, 2017).
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.
Other form:Print version: 9783319580012
Standard no.:10.1007/978-3-319-58002-9