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

By Leonor Godinho,José Natário

Unlike many different texts on differential geometry, this textbook additionally bargains fascinating functions to geometric mechanics and normal relativity.

The first half is a concise and self-contained creation to the fundamentals of manifolds, differential kinds, metrics and curvature. the second one half reports 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 by means of a variety of examples and over three hundred workouts. targeted recommendations are supplied for lots of of those routines, making An creation to Riemannian Geometry excellent for self-study.

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An Introduction to Riemannian Geometry: With Applications to Mechanics and Relativity (Universitext) by Leonor Godinho,José Natário

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