Physics Hamiltonian Mechanics This post introduces Hamiltonian mechanics using the formalism of differential geometry, culminating in Noether's theorem, which describes the correspondence between certain symmetries and conservation laws.
Physics Harmonic Oscillators This post offers a brief overview of simple and damped harmonic oscillators.
Physics The Einstein-Hilbert Action This post describes how to derive the field equation of General Relativity from the Einstein-HIlbert action.