Choose Math or Physics? Convince Me!

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Choosing between math and physics in university studies can be challenging, especially when both subjects offer unique appeals. Mathematics is often viewed as abstract and detached from reality, with a focus on elegant solutions and proofs that can become complex and difficult to grasp, particularly in advanced courses. In contrast, physics is grounded in real-world applications, making it more relatable and understandable, even when dealing with complex concepts like quantum mechanics. The hands-on aspect of experimental physics, which includes building and experimenting, adds to its appeal. For those who appreciate both fields, pursuing a Mathematical Physics program could be a viable option, allowing for a blend of both interests. Ultimately, the decision should align with personal interests and career aspirations.
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Okey, I have this dilemma that I don't know which one to focus on in my university studies. So please come with arguments why i should choose math, or why i should choose physics (i think I am most into physics, but I am still not 100% sure). I find the subjects equally fun and interesting, but in different ways (mathematics have very fascinating and elegant solutions/problems and proofs, but physics are dealing with the real world and therefor are interesting in its own way). So convince me! :)
 
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Well to me, math seems to detached from reality. Besides that, it's hard (I say this as someone with a math degree). The introductory level courses, namely the calculus sequence, are very different from the "real" math courses that you'll take your second two years of college. I've personally found it very difficult to follow and reproduce the logic that goes into mathematical proofs. Physics, on the other hand, is something I can understand. Even abstract topics like advanced quantum mechanics have some basis in reality. So while I might get lost in the jargon of unitary and Bogoliubov transformations, occupation number representation, Hilbert spaces, etc., everything has at least some physical basis for me to understand. That's why I became a physicist instead of a mathematician. Plus, the great thing about being in experimental physics is that you get to build cool stuff from time to time.

Having said that, I'm not necessarily trying to convince you to do physics. You should do whatever you want. But these are just my reasons for being in physics rather than math.
 
My school offers a Mathematical Physics program, so it might be a good idea to check if your school does too. From your post it seems that you like both, so why not do both?
 
I’ve been looking through the curricula of several European theoretical/mathematical physics MSc programs (ETH, Oxford, Cambridge, LMU, ENS Paris, etc), and I’m struck by how little emphasis they place on advanced fundamental courses. Nearly everything seems to be research-adjacent: string theory, quantum field theory, quantum optics, cosmology, soft matter physics, black hole radiation, etc. What I don’t see are the kinds of “second-pass fundamentals” I was hoping for, things like...
TL;DR Summary: I want to do a PhD in applied math but I hate group theory, is this a big problem? Hello, I am a second-year math and physics double major with a minor in data science. I just finished group theory (today actually), and it was my least favorite class in all of university so far. It doesn't interest me, and I am also very bad at it compared to other math courses I have done. The other courses I have done are calculus I-III, ODEs, Linear Algebra, and Prob/Stats. Is it a...

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