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...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht
Springer Netherlands
2013, 2013
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| Edition: | 1st ed. 2013 |
| Series: | Theoretical and Mathematical Physics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 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