nLab Mathematical methods of classical mechanics

This entry collects links related to the textbook

• Vladimir Arnold:

  
  

  Mathematical methods of classical mechanics

  
  

  Graduate Texts in Mathematics 60

  Springer (1989)

  doi:10.1007/978-1-4757-1693-1

on classical Hamiltonian mechanics formulated via symplectic geometry (the phase space regarded as a symplectic manifold).

Later textbooks and lecture notes that pick up this perspective and further develop it in the context of geometric quantization:

• Alan Weinstein, Lectures on Symplectic Manifolds, volume 29 of CBMS Regional Conf. Series in Math. Amer. Math. Soc., 1983. third printing.

• Sean Bates, Alan Weinstein, Lectures on the geometry of quantization

category: reference