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(Complete Item Description)
- Abstract:
This book represents course notes for a one semester course at the undergraduate level giving an introduction to Riemannian geometry and its principal physical application, Einstein’s theory of general relativity. The background assumed is a good grounding in linear algebra and in advanced calculus, preferably in the language of differential forms.
This book covers the following topics: The principal curvatures; rules of calculus; Levi-Civita Connections; bundle of frames; connections on principal bundles; Gauss's lemma; special relativity; Die Grundlagen der Physik; submersions; Petrov types; and Star.
- Subject:
- Mathematics and Statistics
- Grade Level:
- Post-secondary
- Collection:
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Harvard University
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