Mathematical Methods for Theoretical Physics

In this section, we will review the mathematical methods needed for theoretical physics. This includes topics such as linear algebra, calculus, differential equations, complex analysis, group theory, differential geometry, topology, and more. We will also cover some more advanced topics such as functional analysis, distribution theory, and category theory Interestingly, much of the mathematics here revolve around vector spaces. Therefore, we will start with a review of vector spaces and linear algebra.