In this program
- Lagrangian and Hamiltonian formulations
- Legendre transform
- Canonical equations
- Poisson brackets and symmetries
- Noether's theorem
- Conserved quantities
- Integrable systems (introduction)
Classical mechanics and variational principles
Lagrangian and Hamiltonian formulations
Mathematical physics · Standard syllabus
Topic
Lagrangian and Hamiltonian formulations
Practice by unit: Classical mechanics and variational principles
Graduate Mathematical Physics — scope drawn from open mathematical physics notes and typical US graduate mathematical physics syllabi.