Differentiable Manifolds
by Nigel Hitchin
2003
Number of pages: 94
Description:
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.
Download or read it online for free here:
Download link
(1MB, PDF)
Similar books
Differential Topology of Fiber Bundlesby Karl-Hermann Neeb - FAU Erlangen-Nuernberg
From the table of contents: Basic Concepts (The concept of a fiber bundle, Coverings, Morphisms...); Bundles and Cocycles; Cohomology of Lie Algebras; Smooth G-valued Functions; Connections on Principal Bundles; Curvature; Perspectives.
(12199 views)
Manifolds of Differentiable Mappingsby Peter W. Michor - Birkhauser
This book is devoted to the theory of manifolds of differentiable mappings and contains result which can be proved without the help of a hard implicit function theorem of nuclear function spaces. All the necessary background is developed in detail.
(12801 views)
Lectures on Differential Topologyby Riccardo Benedetti - arXiv.org
This text is a comprehensive introduction to the theory of smooth manifolds, maps, and fundamental associated structures. It is geared toward beginning master's and doctoral students with an undergraduate mathematics background.
(1835 views)
Differential Topologyby Bjorn Ian Dundas - Johns Hopkins University
This is an elementary text book for the civil engineering students with no prior background in point-set topology. This is a rather terse mathematical text, but provided with an abundant supply of examples and exercises with hints.
(13250 views)