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...

Description complète

Enregistré dans:
Détails bibliographiques
Auteur principal : McCleary John (Auteur)
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 :

Bib. CRDM (Mathématiques)

Informations d'exemplaires de Bib. CRDM (Mathématiques)
Cote Prêt Statut
Bibliothèque 53C382 Prêt sans prolongation Disponible