New PDF release: An Introduction to Riemannian Geometry: With Applications to

By Leonor Godinho,José Natário

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

The first half is a concise and self-contained creation to the fundamentals of manifolds, differential types, 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 extra constructed by way of various examples and over three hundred workouts. special options are supplied for lots of of those workouts, making An advent to Riemannian Geometry perfect 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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