Geometry from a differentiable viewpoint
"The development of geometry from Euclid to Euler to Lobachevsky, Bolyai, Gauss, and Riemann is a story that is often broken into parts - axiomatic geometry, non-Euclidean geometry, and differential geometry. This poses a problem for undergraduates: Which part is geometry? What is the big pictu...
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Auteur principal : | |
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Format : | Livre |
Langue : | anglais |
Titre complet : | Geometry from a differentiable viewpoint / John McCleary |
Édition : | 2e ed. |
Publié : |
Cambridge [England], New York :
Cambridge University Press
, cop. 2013 |
Description matérielle : | 1 vol. (XV - 357 p.) |
Contenu : | Spherical geometry. Euclid. The theory of parallels. Non-Euclidean geometry. Curves in the plane. Curves in space. Surfaces. Map projections. Curvature for surfaces. Metric equivalence of surfaces. Geodesics. The Gauss-Bonnet Theorem. Constant-curvature surfaces. Abstract surfaces. Modeling the non-Euclidean plane. Epilogue: where from here? |
Sujets : |
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