Differential Geometry: Lecture Notes

Small book cover: Differential Geometry: Lecture Notes

Differential Geometry: Lecture Notes

Publisher: Trinity College Dublin
Number of pages: 49

From the table of contents: Chapter 1. Introduction to Smooth Manifolds; Chapter 2. Basic results from Differential Topology; Chapter 3. Tangent spaces and tensor calculus; Tensors and differential forms; Chapter 4. Riemannian geometry.

Download or read it online for free here:
Download link
(290KB, PDF)

Similar books

Book cover: Differentiable ManifoldsDifferentiable Manifolds
The historical driving force of the theory of manifolds was General Relativity, where the manifold is four-dimensional spacetime, wormholes and all. This text is occupied with the theory of differential forms and the exterior derivative.
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.
Book cover: Introduction to Differential Geometry and General RelativityIntroduction to Differential Geometry and General Relativity
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.
Book cover: Differential Geometry in PhysicsDifferential Geometry in Physics
by - University of North Carolina at Wilmington
These notes were developed as a supplement to a course on Differential Geometry at the advanced undergraduate level, which the author has taught. This texts has an early introduction to differential forms and their applications to Physics.