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

By Leonor Godinho,José Natário

ISBN-10: 3319086650

ISBN-13: 9783319086651

Unlike many different texts on differential geometry, this textbook additionally bargains fascinating functions to geometric mechanics and basic 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 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 additional constructed via quite a few examples and over three hundred workouts. certain ideas are supplied for plenty of of those workouts, 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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