By Leonor Godinho,José Natário
Unlike many different texts on differential geometry, this textbook additionally deals fascinating purposes to geometric mechanics and common relativity.
The first half is a concise and self-contained creation to the fundamentals of manifolds, differential types, metrics and curvature. the second one half experiences functions to mechanics and relativity together with the proofs of the Hawking and Penrose singularity theorems. it may be independently used for one-semester classes in both of those subjects.
The major rules are illustrated and additional built via a number of examples and over three hundred routines. distinctive recommendations are supplied for lots of of those routines, making An creation to Riemannian Geometry excellent for self-study.
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