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Differential Geometry and Mathematical Physics Part I. Manifolds, Lie Groups and Hamiltonian Systems /
Starting from an undergraduate level, this book systematically develops the basics of • Calculus on manifolds, vector bundles, vector fields and differential forms, • Lie groups and Lie group actions, • Linear symplectic algebra and symplectic geometry, • Hamiltonian systems, symmetries and reductio...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Dordrecht :
Springer Netherlands : Imprint: Springer,
2013.
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| Edición: | 1st ed. 2013. |
| Colección: | Theoretical and Mathematical Physics,
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| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-94-007-5345-7 | ||
| 003 | DE-He213 | ||
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| 007 | cr nn 008mamaa | ||
| 008 | 121116s2013 ne | s |||| 0|eng d | ||
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| 100 | 1 | |a Rudolph, Gerd. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Differential Geometry and Mathematical Physics |h [electronic resource] : |b Part I. Manifolds, Lie Groups and Hamiltonian Systems / |c by Gerd Rudolph, Matthias Schmidt. |
| 250 | |a 1st ed. 2013. | ||
| 264 | 1 | |a Dordrecht : |b Springer Netherlands : |b Imprint: Springer, |c 2013. | |
| 300 | |a XIV, 762 p. |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 Theoretical and Mathematical Physics, |x 1864-5887 | |
| 505 | 0 | |a 1 Differentiable manifolds -- 2 Vector bundles -- 3 Vector fields -- 4 Differential forms -- 5 Lie groups -- 6 Lie group actions -- 7 Linear symplectic algebra -- 8 Symplectic geometry -- 9 Hamiltonian systems -- 10 Symmetries -- 11 Integrability -- 12 Hamilton-Jacobi theory -- References. | |
| 520 | |a Starting from an undergraduate level, this book systematically develops the basics of • Calculus on manifolds, vector bundles, vector fields and differential forms, • Lie groups and Lie group actions, • Linear symplectic algebra and symplectic geometry, • Hamiltonian systems, symmetries and reduction, integrable systems and Hamilton-Jacobi theory. The topics listed under the first item are relevant for virtually all areas of mathematical physics. The second and third items constitute the link between abstract calculus and the theory of Hamiltonian systems. The last item provides an introduction to various aspects of this theory, including Morse families, the Maslov class and caustics. The book guides the reader from elementary differential geometry to advanced topics in the theory of Hamiltonian systems with the aim of making current research literature accessible. The style is that of a mathematical textbook,with full proofs given in the text or as exercises. The material is illustrated by numerous detailed examples, some of which are taken up several times for demonstrating how the methods evolve and interact. | ||
| 650 | 0 | |a Mathematical physics. | |
| 650 | 0 | |a Global analysis (Mathematics). | |
| 650 | 0 | |a Manifolds (Mathematics). | |
| 650 | 0 | |a Mechanics. | |
| 650 | 0 | |a Topological groups. | |
| 650 | 0 | |a Lie groups. | |
| 650 | 0 | |a Geometry, Differential. | |
| 650 | 1 | 4 | |a Mathematical Methods in Physics. |
| 650 | 2 | 4 | |a Global Analysis and Analysis on Manifolds. |
| 650 | 2 | 4 | |a Classical Mechanics. |
| 650 | 2 | 4 | |a Topological Groups and Lie Groups. |
| 650 | 2 | 4 | |a Differential Geometry. |
| 700 | 1 | |a Schmidt, Matthias. |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 9789400753464 |
| 776 | 0 | 8 | |i Printed edition: |z 9789401781985 |
| 776 | 0 | 8 | |i Printed edition: |z 9789400753440 |
| 830 | 0 | |a Theoretical and Mathematical Physics, |x 1864-5887 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-94-007-5345-7 |z Texto Completo |
| 912 | |a ZDB-2-PHA | ||
| 912 | |a ZDB-2-SXP | ||
| 950 | |a Physics and Astronomy (SpringerNature-11651) | ||
| 950 | |a Physics and Astronomy (R0) (SpringerNature-43715) | ||