Analytical Mechanics For Relativity And Quantum Mechanics by Geoff Johns

A rigorous, unified treatment of analytical mechanics that uses variational principles, symmetries, and canonical methods to develop Lagrangian and Hamiltonian dynamics in a form suited to special relativity and the foundations of quantum theory; it covers Noether's theorem, canonical transformations, Hamilton-Jacobi theory, relativistic particle and field dynamics, and connects classical Poisson brackets to quantum commutators.