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QA443.SPR FCT 97667 Surface-knots in 4-space | QA443.SPR FCT 97693 Geometric inequalities | QA443.SPR FCT 97738 Tensor valuations and their applications in stochastic geometry and imaging | QA443.SPR FCT 97995 Modern approaches to discrete curvature | QA443.SPR FCT 98034 A geometric algebra invitation to space-time physics, robotics and molecular geometry | QA443.SPR FCT 98039 Real spinorial groups | QA444.ARA FCT 36321 Curso de geometria |
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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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