By Leonor Godinho,José Natário
Unlike many different texts on differential geometry, this textbook additionally deals attention-grabbing functions to geometric mechanics and normal relativity.
The first half is a concise and self-contained advent to the fundamentals of manifolds, differential varieties, 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 principles are illustrated and extra built through quite a few examples and over three hundred workouts. designated ideas are supplied for lots of of those workouts, making An advent to Riemannian Geometry perfect for self-study.
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Additional info 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