Study Math for Physics Career: QFT in College?

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Studying physics at the university level, particularly with a focus on quantum field theory (QFT), necessitates a strong foundation in mathematics. Many students aiming for theoretical physics careers are opting to study mathematics alongside physics, which is recommended for those considering graduate school. Physics is fundamentally applied mathematics, and a solid grasp of mathematical concepts is essential, especially in quantum physics. It is advisable to learn mathematics as needed, particularly when encountering challenges in physics that require deeper mathematical understanding. Additionally, utilizing programming tools like SageMath can enhance the learning process, as modern physics increasingly relies on computational methods rather than traditional pen-and-paper calculations.
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I'm studying the first year in physics university and I want to follow the career in QFT and this area requires a lot of math. In my university a lot of students who want to study theoretical physics are studying mathematics, and then to graduate school in physics. It will be a good choice? Begin studying mathematics in college.
 
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I would definitely recommend studying physics if you want to go to grad school for physics. And pick up any extra math along the way, or do a double major.
 
Really, physics is applied math – you can't get that far in physics without knowing quite a bit of math, especially quantum physics (quantum means that something is quantitative which means that it can be derived into something numerical… hence, math). However, I would try to focus on learning by doing – when you realize you've come up on a stumbling block that can be solved by knowing more math, learn more math. I also find that learning math programmatically ( http://www.sagemath.org/ is an excellent and powerful resource) instead of using random Greek letters is a whole lot easier, or would be if there were more resources that used that approach. Math on pen and paper has been obsolete for a couple decades at least in most professional physics careers (my uncle is an astronomer and he has been coding for 40-50 years).
 
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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