Analytical Mechanics Classical, Lagrangian and Hamiltonian Mechanics, Stability Theory, Special Relativity /
This textbook aims at introducing readers, primarily students enrolled in undergraduate Mathematics or Physics courses, to the topics and methods of classical Mathematical Physics, including Classical Mechanics, its Lagrangian and Hamiltonian formulations, Lyapunov stability, plus the Liouville theo...
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| Yhteisötekijä: | |
| Aineistotyyppi: | Elektroninen E-kirja |
| Kieli: | englanti |
| Julkaistu: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2023.
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| Painos: | 1st ed. 2023. |
| Sarja: | La Matematica per il 3+2,
150 |
| Aiheet: | |
| Linkit: | https://doi.org/10.1007/978-3-031-27612-5 |
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Sisällysluettelo:
- 1 The Space and Time of Classical Physics
- 2 The Spacetime of Classical Physics and Classical Kinematics
- 3 Newtonian dynamics: a conceptual critical review
- 4 Balance equations and first integrals in Mechanics
- 5 Introduction to Rigid Body Mechanics
- 6 Introduction to stability theory with applications to Mechanics
- 7 Foundations of Lagrangian Mechanics
- 8 Symmetries and conservation laws in Lagrangian Mechanics
- 9 Advanced topics in Lagrangian Mechanics
- 10 Mathematical introduction to Special Relativity and the relativistic Lagrangian formulation
- 11 Fundamentals of Hamiltonian Mechanic
- 12 Canonical Hamiltonian theory, Hamiltonian symmetries and Hamilton-Jacobi theory
- 13 Hamiltonian symplectic structures: an introduction
- 14 Complement: elements of the theory of ordinary differential equations
- 15 Complement: the physical principles at the foundations of Special Relativity
- Appendix A: elements of Topology, Analysis, Linear Algebra and Geometry
- Appendix B: advanced topics in Differential Geometry
- Appendix C: Solutions and/or hints to suggested exercises.