Ebook: The theoretical minimum: what you need to know to start doing physics

The nature of classical physics : Spaces, trigonometry, and vectors -- Motion : Integral calculus -- Dynamics : Partial differentiation -- Systems of more than one particle -- Energy -- The principle of least action -- Symmetries and conservation laws -- Hamiltonian mechanics and time-translation invariance -- The phase space fluid and the Gibbs-Liouville Theorem -- Poisson brackets, angular momentum, and symmetries -- Electric and magnetic forces -- Appendix 1: Central forces and planetary orbits