Yet another possibility could be [A Brief Introduction to Symplectic and Contact Manifolds][1] by Banyaga and Houenou. Also [Hamiltonian dynamics][2] by Vilasi could be helpful.


  [1]: https://www.worldscientific.com/worldscibooks/10.1142/9667
  [2]: https://doi.org/10.1142/9789812386311