Deriving time dilation, length contraction, and the relativity of simultaneity.
General relativity (GR) extends the principles of SR to accelerating reference frames and introduces gravity as the curvature of spacetime. The math shifts from linear Lorentz transformations to non-linear differential geometry. Tensor Calculus and Differential Geometry Deriving time dilation
Lagrangian mechanics, Hamiltonian mechanics, principle of least action. Maxwell’s equations, vector potentials, wave equations. Mathematics principle of least action. Maxwell’s equations
300 Problems in Special and General Relativity: With Complete Solutions Mattias Blennow Tommy Ohlsson , published by Cambridge University Press in late 2021. Core Content Overview Deriving time dilation
The problems within this set are often similar in complexity to graduate-level qualifying exams. Finding the Resource (PDF)