Geometric Mechanics

some lectures

Notes on Noether's theorem and momentum maps

Rigid body (1): kinematics

Notes on symplectic and Poisson geometry
suggested references:
Arnol'd: Mathematical Methods in Classical Mechanics
Abraham-Marsden: Foundations of Mechanics
Landau and Lifshitz: Classical Mechanics further afield, good for a global perspective:
George Mackey: The mathematical Foundations of quantum mechanics
Dirac: Quantum Mechanics
for the Legendre Transformation: L. C. Young : Optimal Control Theory