This course will form the most elementary topics for doing theoretical physics.
Lesson 1: Special relativity and an introduction to tensors. This lesson was updated as of 11 January 2020.
Lesson 2: Manifolds, differentiable mappings and diffeomorphisms, and tangent vectors located at a point. This lesson was updated as of 5 February 2020.
Talk presented by Christopher Winfield at the Midwest Relativity 2020 (a virtual conference) on a solid justification for the Cowling approximation using asymptotic and functional analysis methods is here.
Talk presented by George E. Hrabovsky at the Midwest Relativity 2020 (a virtual conference) on how to use Mathematica and xAct to derive the relativistic equations of motion for a viscous fluid is here, (the Mathematica notebook is here.)
Click here to visit the MAST web site.