Differentiable Manifolds by Nigel Hitchin
2003
This is an introductory course on differentiable manifolds. One of the historical driving forces of the theory of manifolds was General Relativity, where the manifold is four-dimensional spacetime, wormholes and all. A large part of the text is occupied with the theory of differential forms and the exterior derivative.
Mathematics Geometry & Topology Topology Differential Differential Geometry Introductory