Key idea: we study a finite number of freedom degrees. If you want to introduce locality and causality you need to use Classical Field Theory.
A personal approach: axiomatic Newtonian mechanics
One approach: Lagrangian Mechanics
Another approach: Hamiltonian mechanics
One more approach: Koopman-von Neumann classical mechanics.
See this comparison with Quantum mechanics.
________________________________________
________________________________________
________________________________________
Author of the notes: Antonio J. Pan-Collantes
INDEX: