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Modern Approaches to Discrete Curvature (Paperback, 1st ed. 2017)
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Modern Approaches to Discrete Curvature (Paperback, 1st ed. 2017)
Series: Lecture Notes in Mathematics, 2184
Expected to ship within 9 - 15 working days
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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.
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