Logo

Differential Geometry Course Notes

Small book cover: Differential Geometry Course Notes

Differential Geometry Course Notes
by

Publisher: University of Oregon
Number of pages: 188

Description:
These are differential geometry course notes. From the table of contents: Preface; Curves; Surfaces; Extrinsic Theory; The Covariant Derivative; The Theorema Egregium; The Gauss-Bonnet Theorem; Riemann's Counting Argument.

Home page url

Download or read it online for free here:
Download link
(15MB, PDF)

Similar books

Book cover: Notes on Differential GeometryNotes on Differential Geometry
by - Van Nostrand
A concise introduction to differential geometry. The ten chapters of Hicks' book contain most of the mathematics that has become the standard background for not only differential geometry, but also much of modern theoretical physics and cosmology.
(15430 views)
Book cover: A Course Of Differential GeometryA Course Of Differential Geometry
by - Clarendon Press
Contents: Tensor theory; The ground form when n=2; Geodesics in two-way space; Two-way space as a locus in Euclidean space; Deformation of a surface and congruences; Curves in Euclidean space and on a surface; The ruled surface; Minimal surface; etc.
(7324 views)
Book cover: Introduction to Differential Geometry and General RelativityIntroduction to Differential Geometry and General Relativity
by
Smooth manifolds and scalar fields, tangent vectors, contravariant and covariant vector fields, tensor fields, Riemannian manifolds, locally Minkowskian manifolds, covariant differentiation, the Riemann curvature tensor, premises of general relativity.
(22973 views)
Book cover: Differential Geometry: A First Course in Curves and SurfacesDifferential Geometry: A First Course in Curves and Surfaces
by - University of Georgia
Contents: Curves (Examples, Arclength Parametrization, Frenet Frame); Surfaces: Local Theory (Parametrized Surfaces, Gauss Map, Covariant Differentiation, Parallel Translation, Geodesics); Surfaces: Further Topics (Holonomy, Hyperbolic Geometry,...).
(8422 views)