By José Natário, Leonor Godinho
Not like many different texts on differential geometry, this textbook additionally deals fascinating functions to geometric mechanics and basic relativity.
The first half is a concise and self-contained advent to the fundamentals of manifolds, differential kinds, metrics and curvature. the second one half stories purposes 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 extra built via a number of examples and over three hundred workouts. certain strategies are supplied for lots of of those routines, making An creation to Riemannian Geometry perfect for self-study.
Read or Download An Introduction to Riemannian Geometry: With Applications to Mechanics and Relativity (Universitext) PDF
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Additional info for An Introduction to Riemannian Geometry: With Applications to Mechanics and Relativity (Universitext)
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