An Introduction to Riemannian Geometry

Name: An Introduction to Riemannian Geometry
SKU: 22518546
Price: 227.99 AUD
Availability: InStock

With Applications to Mechanics and Relativity

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Format:

Paperback / softback

Series:

Universitext

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$227.99

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Description

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.

Author Biography:

Leonor Godinho is professor at Instituto Superior Técnico (Universidade de Lisboa). She regularly teaches Riemannian geometry, symplectic geometry and introductory geometry courses. Her research activity is focused on symplectic geometry and its connections to algebraic geometry and combinatorics. José Natário is professor of mathematics at Instituto Superior Técnico (Universidade de Lisboa). He regularly lectures on differential and Riemannian geometry, geometric mechanics and mathematical relativity. His research focuses on general relativity, a subject on which he has published many research papers and a book, “General Relativity Without Calculus” (Springer, 2011).

Release date Australia

August 7th, 2014

Author

Audience

Professional & Vocational

Illustrations

60 Illustrations, black and white; X, 467 p. 60 illus.

Pages

467

Series

Universitext

Dimensions

155x235x25

ISBN-13

9783319086651

Product ID

22518546

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