Differential geometry : a geometric introduction / David W. Henderson
Type de document : Livre numériqueLangue : anglais.Éditeur : Copyright © 2013, David W. Henderson, 2013ISBN: 9780135699638.Sujet MSC : 53-01, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry53A04, Classical differential geometry, Curves in Euclidean and related spaces
53A05, Classical differential geometry, Surfaces in Euclidean and related spaces
53C20, Global differential geometry, Global Riemannian geometry, including pinchingEn-ligne : OA - accès libre
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This book is intended for undergraduate students and introduces concepts of differential geometry such as smoothness, curves and surfaces, arc length, geodesics, parallel transport and holonomy, curvature, the intrinsic metric, Riemannian curvature, and differentiable manifolds in an intuitive way. Proofs are left to the reader in the way of exercices and problems. (Zentralblatt)
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