An Introduction to Riemannian Geometry: With Applications to Mechanics and Relativity (Universitext) - Tapa blanda

Libro 169 de 261: Universitext

Godinho, Leonor; Natário, José

 
9783319086651: An Introduction to Riemannian Geometry: With Applications to Mechanics and Relativity (Universitext)
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ISBN 10: 3319086650 ISBN 13: 9783319086651
Editorial: Springer, 2014

Sinopsis

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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Acerca del autor

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).

De la contraportada

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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Editorial
Springer
Año de publicación
2014
Idioma
Inglés
ISBN 10 
3319086650
ISBN 13 
9783319086651
Encuadernación
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Número de páginas
480
Contacto del fabricante
Springer Nature Customer Service Center GmbH
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Europaplatz 3,69115 Heidelberg, Germany
Heidelberg
69115
Alemania

Otras ediciones populares con el mismo título

9783319086675: An Introduction to Riemannian Geometry: With Applications to Mechanics and Relativity

Edición Destacada

ISBN 10:  3319086677 ISBN 13:  9783319086675
Editorial: Springer, 2014
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