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
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