Preparing for Masters QFT & GR Classes: Advice Needed

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Preparing for a master's level course in quantum field theory (QFT) and general relativity (GR) involves brushing up on several mathematical concepts. Key areas of focus include residue calculus, Fourier transforms, special functions, and group/representation theory, particularly SO(3), SU(2), and the Lorentz group. Reviewing tensor calculus is also recommended, with resources like Arfken and Schaum's outline being useful. Additionally, revisiting classical electrodynamics may provide a beneficial foundation for understanding QFT. Engaging with these topics will help build a solid mathematical framework before the courses begin.
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I'll be taking a first course in quantum field theory and general relativity this fall at the masters level and I have a few weeks until I start. I was wondering if anybody had some advice on what to brush up or even self-teach before I'm neck deep in them (on top of other classes) so I can be a little ahead. Having never had a math methods course, I already taught myself the rudiments of residue calculus and Fourier transforms and inversions. Should I read up on special functions? I was thinking of reviewing some group/representation theory (mainly SO(3), SU(2), and Lorentz group) as well for QFT, and maybe work through the tensors chapter of Arfken or maybe just grab another GR book and look at the math chapters. Also I was wondering if it was worth reviewing elements of classical electrodynamics?

Any advice and tips are appreciated, thanks.
 
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Small bump. I've started the tensor chapter in Arfken while working on some exercises in the Schaum's outline of tensor calculus. I'm also reviewing my group theory notes, mainly the Lorentz group.

Any advice appreciated!
 
Hey, I am Andreas from Germany. I am currently 35 years old and I want to relearn math and physics. This is not one of these regular questions when it comes to this matter. So... I am very realistic about it. I know that there are severe contraints when it comes to selfstudy compared to a regular school and/or university (structure, peers, teachers, learning groups, tests, access to papers and so on) . I will never get a job in this field and I will never be taken serious by "real"...
Yesterday, 9/5/2025, when I was surfing, I found an article The Schwarzschild solution contains three problems, which can be easily solved - Journal of King Saud University - Science ABUNDANCE ESTIMATION IN AN ARID ENVIRONMENT https://jksus.org/the-schwarzschild-solution-contains-three-problems-which-can-be-easily-solved/ that has the derivation of a line element as a corrected version of the Schwarzschild solution to Einstein’s field equation. This article's date received is 2022-11-15...

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