By Leonor Godinho,José Natário
Unlike many different texts on differential geometry, this textbook additionally deals fascinating functions to geometric mechanics and common relativity.
The first half is a concise and self-contained creation to the fundamentals of manifolds, differential varieties, metrics and curvature. the second one half experiences 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 principles are illustrated and additional built through various examples and over three hundred workouts. distinctive ideas are supplied for lots of of those workouts, making An creation to Riemannian Geometry excellent for self-study.
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Additional resources for An Introduction to Riemannian Geometry: With Applications to Mechanics and Relativity (Universitext)
An Introduction to Riemannian Geometry: With Applications to Mechanics and Relativity (Universitext) by Leonor Godinho,José Natário