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Differentiable Manifolds A Theoretical Physics Approach /
This textbook gives a concise introduction to the theory of differentiable manifolds, focusing on their applications to differential equations, differential geometry, and Hamiltonian mechanics. The work's first three chapters introduce the basic concepts of the theory, such as differentiable ma...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Boston, MA :
Birkhäuser Boston : Imprint: Birkhäuser,
2012.
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| Edición: | 1st ed. 2012. |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-0-8176-8271-2 | ||
| 003 | DE-He213 | ||
| 005 | 20220114134011.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 111007s2012 xxu| s |||| 0|eng d | ||
| 020 | |a 9780817682712 |9 978-0-8176-8271-2 | ||
| 024 | 7 | |a 10.1007/978-0-8176-8271-2 |2 doi | |
| 050 | 4 | |a QA613-613.8 | |
| 072 | 7 | |a PBP |2 bicssc | |
| 072 | 7 | |a MAT038000 |2 bisacsh | |
| 072 | 7 | |a PBP |2 thema | |
| 082 | 0 | 4 | |a 514.34 |2 23 |
| 100 | 1 | |a Torres del Castillo, Gerardo F. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Differentiable Manifolds |h [electronic resource] : |b A Theoretical Physics Approach / |c by Gerardo F. Torres del Castillo. |
| 250 | |a 1st ed. 2012. | ||
| 264 | 1 | |a Boston, MA : |b Birkhäuser Boston : |b Imprint: Birkhäuser, |c 2012. | |
| 300 | |a VIII, 275 p. 20 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 | ||
| 505 | 0 | |a Preface.-1 Manifolds.- 2 Lie Derivatives -- 3 Differential Forms -- 4 Integral Manifolds -- 5 Connections -- 6. Riemannian Manifolds -- 7 Lie Groups -- 8 Hamiltonian Classical Mechanics -- References.-Index. | |
| 520 | |a This textbook gives a concise introduction to the theory of differentiable manifolds, focusing on their applications to differential equations, differential geometry, and Hamiltonian mechanics. The work's first three chapters introduce the basic concepts of the theory, such as differentiable maps, tangent vectors, vector and tensor fields, differential forms, local one-parameter groups of diffeomorphisms, and Lie derivatives. These tools are subsequently employed in the study of differential equations (Chapter 4), connections (Chapter 5), Riemannian manifolds (Chapter 6), Lie groups (Chapter 7), and Hamiltonian mechanics (Chapter 8). Throughout, the book contains examples, worked out in detail, as well as exercises intended to show how the formalism is applied to actual computations and to emphasize the connections among various areas of mathematics. Differentiable Manifolds is addressed to advanced undergraduate or beginning graduate students in mathematics or physics. Prerequisites include multivariable calculus, linear algebra, differential equations, and (for the last chapter) a basic knowledge of analytical mechanics. | ||
| 650 | 0 | |a Manifolds (Mathematics). | |
| 650 | 0 | |a Mechanics. | |
| 650 | 0 | |a Mathematical physics. | |
| 650 | 0 | |a Topological groups. | |
| 650 | 0 | |a Lie groups. | |
| 650 | 1 | 4 | |a Manifolds and Cell Complexes. |
| 650 | 2 | 4 | |a Classical Mechanics. |
| 650 | 2 | 4 | |a Mathematical Methods in Physics. |
| 650 | 2 | 4 | |a Topological Groups and Lie Groups. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9780817682705 |
| 776 | 0 | 8 | |i Printed edition: |z 9780817682729 |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-0-8176-8271-2 |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) | ||