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An Introduction to Riemannian Geometry With Applications to Mechanics and Relativity /
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 studi...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2014.
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| Edición: | 1st ed. 2014. |
| Colección: | Universitext,
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| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-319-08666-8 | ||
| 003 | DE-He213 | ||
| 005 | 20220118085530.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 140726s2014 sz | s |||| 0|eng d | ||
| 020 | |a 9783319086668 |9 978-3-319-08666-8 | ||
| 024 | 7 | |a 10.1007/978-3-319-08666-8 |2 doi | |
| 050 | 4 | |a QA641-670 | |
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| 072 | 7 | |a PBMP |2 thema | |
| 082 | 0 | 4 | |a 516.36 |2 23 |
| 100 | 1 | |a Godinho, Leonor. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 3 | |a An Introduction to Riemannian Geometry |h [electronic resource] : |b With Applications to Mechanics and Relativity / |c by Leonor Godinho, José Natário. |
| 250 | |a 1st ed. 2014. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2014. | |
| 300 | |a X, 467 p. 60 illus. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Universitext, |x 2191-6675 | |
| 505 | 0 | |a Differentiable Manifolds -- Differential Forms -- Riemannian Manifolds -- Curvature -- Geometric Mechanics -- Relativity. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Geometry, Differential. | |
| 650 | 0 | |a Mathematical physics. | |
| 650 | 0 | |a Mechanics. | |
| 650 | 0 | |a Gravitation. | |
| 650 | 1 | 4 | |a Differential Geometry. |
| 650 | 2 | 4 | |a Mathematical Physics. |
| 650 | 2 | 4 | |a Classical Mechanics. |
| 650 | 2 | 4 | |a Classical and Quantum Gravity. |
| 700 | 1 | |a Natário, José. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783319086675 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319086651 |
| 830 | 0 | |a Universitext, |x 2191-6675 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-319-08666-8 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||