Calculus of Variations on Fibred Manifolds and Variational Physics A Geometrical Approach to Variational Problems in Physics /
This book presents modern variational calculus in mechanics and field theories with applications to theoretical physics. It is based on modern mathematical tools, specifically fibred spaces and their jet prolongations, which operate with vector fields and differential forms on foundational structure...
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| Hauptverfasser: | , , |
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| Körperschaft: | |
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
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| Ausgabe: | 1st ed. 2025. |
| Schriftenreihe: | Lecture Notes in Physics,
1033 |
| Schlagworte: | |
| Online-Zugang: | https://doi.org/10.1007/978-3-031-77408-9 |
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Inhaltsangabe:
- Chapter 1. Introduction
- Chapter 2. Fibred manifolds
- Chapter 3. Vector fields and differential forms
- Chapter 4. Calculus of variations
- Chapter 5. Dynamical forms and the inverse problem
- Chapter 6. Hamiltonian systems
- Chapter 7. Elements of the variational sequences
- Chapter 8. Extension: Geometrical structures for field theories
- Chapter 9. Variational physics
- Chapter 10. Appendix.