Pre-requisite maths for advanced theoretical physics?

Chris S

New member
I'm trying to delve into self study of advanced theoretical physics, but I am unsure of the maths required. I want to learn mathematically rigorous quantum mechanics, lagrangian\hamiltonian mechanics, and general relativity

at the present, i know multi variable calculus, vector analysis(no tensors yet), linear algebra, and differential equations. if anyone could leave a list of the subjects needed to study these physical theories (in an ascending fashion), I would greatly appreciate it.
 
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