Differential geometry and classical mechanics

Andrei Mikhailov, IFT UNESP

I will put here some notes. This is under construction.

Smooth manifolds

Exterior calculus

Differential forms, integration, exterior derivative

Vector fields and Lie derivative

Symplectic and Poisson manifolds

Phase space in classical mechanics

Hamilton-Jacobi theory

Liouville integrability

TODO list

Source code