Lecture Notes by Prof. Helmut Eschrig
File : pdf, 2,2 MB, 298 pages
TOC
Introduction
1 Topology
1.1 Basic De¯nitions
1.2 Base of Topology, Metric, Norm
1.3 Derivatives
1.4 Compactness
1.5 Connectedness, Homotopy
1.6 Topological Charges in Physics
2 Manifolds
2.1 Charts and Atlases
2.2 Smooth Manifolds
2.3 Tangent Spaces
2.4 Vector Fields
2.5 Mappings of Manifolds, Submanifolds
2.6 Frobenius’ Theorem
2.7 Examples from Physics
3 Tensor Fields
3.1 Tensor Algebras
3.2 Exterior Algebras
3.3 Tensor Fields [...]
