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Mathematical Background
Kinematics
Classical Lagrangian and Hamiltonian Dynamics
Langrangian and Hamiltonian Dynamics on (S1)n
Lagrangian and Hamiltonian Dynamics on (S2)n
Lagrangian and Hamiltonian Dynamics on SO(3)
Lagrangian and Hamiltonian Dynamics on SE(3)
Lagrangian and Hamiltonian Dynamics on Manifolds
Rigid and Mult-body Systems
Deformable Multi-body Systems
Fundamental Lemmas of the Calculus of Variations
Linearization as an Approximation to Lagrangian Dynamics on a Manifold.

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