An Introduction to Riemannian Geometry: With Applications to by Leonor Godinho,José Natário

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 advent 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 principles are illustrated and extra built via quite a few examples and over three hundred workouts. unique ideas are supplied for lots of of those routines, making An creation to Riemannian Geometry excellent for self-study.

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