These lecture notes provide a course on modern, co-ordinate-free differential geometry. They introduce general topology and co-ordinate-free differential geometry, examine geometrical aspects of the theory of Lie groups and Lie group actions on manifolds, and cover the theory of fibre bundles.
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These lecture notes provide a course on modern, co-ordinate-free differential geometry. They introduce general topology and co-ordinate-free differential geometry, examine geometrical aspects of the theory of Lie groups and Lie group actions on manifolds, and cover the theory of fibre bundles.
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