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An Introduction to Riemannian Geometry : With Applications to Mechanics and Relativity - Leonor Godinho

An Introduction to Riemannian Geometry

With Applications to Mechanics and Relativity

By: Leonor Godinho, José Natário

eText | 26 July 2014

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Unlike many other texts on differential geometry, this textbook also offers interesting applications to geometric mechanics and general relativity.

The first part is a concise and self-contained introduction to the basics of manifolds, differential forms, metrics and curvature. The second part studies applications to mechanics and relativity including the proofs of the Hawking and Penrose singularity theorems. It can be independently used for one-semester courses in either of these subjects.

The main ideas are illustrated and further developed by numerous examples and over 300 exercises. Detailed solutions are provided for many of these exercises, making An Introduction to Riemannian Geometry ideal for self-study.

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You Can Find This eBook In

Non-FictionMathematicsGeometryDifferential & Riemannian GeometrySciencePhysicsRelativity PhysicsMathematical PhysicsApplied PhysicsGeophysicsClassical MathematicsGravity

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