What Is the Best Order to Study Group Theory, Tensor Analysis, and QFT?

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When studying Group Theory, tensor analysis, and quantum field theory (QFT), the recommended approach is to start with Group Theory, as it provides foundational concepts that are essential for understanding the other subjects. After gaining a solid grasp of Group Theory, transitioning to tensor analysis is advisable, as it builds on the mathematical framework necessary for QFT. It is suggested to focus on one subject at a time rather than trying to combine them, allowing for deeper comprehension. QFT should be tackled last, as it is more complex and relies heavily on the knowledge acquired from the previous two subjects. This sequential study method enhances understanding and retention of the material.
ziad1985
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I want to study 3 subjects on my own,the subjects are Group Theory, tensor analysis, and QFT.
I know this might be a silly question, but regardless of what textbook material i have or how much I know, what is the best order to study these 3 subjects ?
I feel I should leave QFT to the last, Group Theory then tensor analysis and finally QFT.
Or should I combine them together, any advice?
 
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ziad1985 said:
I want to study 3 subjects on my own,the subjects are Group Theory, tensor analysis, and QFT.
I know this might be a silly question, but regardless of what textbook material i have or how much I know, what is the best order to study these 3 subjects ?
I feel I should leave QFT to the last, Group Theory then tensor analysis and finally QFT.
Or should I combine them together, any advice?

I'd start with Group Theory. Then while doing Group Theory, I would just forget about what I should learn next and just do some Group Theory. When you're halfway through a Group Theory textbook, then think about where you should spin off to.
 
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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