Physics with rigorous math - need advice

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Discussion Overview

The discussion revolves around the relationship between physics and mathematics, particularly in the context of studying general relativity. The participant expresses a desire to engage with physics through rigorous mathematical approaches while also acknowledging the importance of experimental work in the field.

Discussion Character

  • Exploratory, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant suggests that the field of mathematical physics may align with the original poster's interests in combining rigorous math with physics.
  • Another participant notes that physics encompasses both theoretical and experimental aspects, indicating that they are not mutually exclusive.
  • There is a discussion about the definition of "rigorous" math, with a participant questioning whether the term is well-defined in the context of physics versus mathematics.
  • A request for more information about the original poster's educational background and current coursework is made to facilitate more meaningful responses.

Areas of Agreement / Disagreement

Participants generally agree that both theoretical and experimental approaches are important in physics, but there is no consensus on how to best integrate rigorous mathematics into the study of physics, particularly general relativity.

Contextual Notes

The discussion lacks specific details about the original poster's current level of education and mathematical background, which may influence the advice given.

leo.
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Hi all, I have a doubt regarding the connection between physics and math. I'm studying physics at college but I'm a little confused. My main area of interest is general relativity, so what I really want to do is to work on that area, however I prefer (and I have more hability) to atack problems with rigorous math rather with physical intuition.

The point here is: I have more hability when rigorous math is involved, however I don't want to become mathematician, I want to work with physics in general relativity. I know that physics needs experiment, and that is why I feel confused.

Can someone give me an advice about that ? Is there a way to combine the study of physics with rigorous math or it's only possible to work with physics through experiments ?

Thanks a lot in advance and sorry if I've said something very silly, if I did is because I really don't understand this completely.
 
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Well I'm sure that other members will be much more equipped to answer your question, but it sounds to me like you just described the field of mathematical physics.
 
Possibly what PiAreSquared said. Physics doesn't only require experiment. There's both theory and experiment and they aren't mutually exclusive either. I think "rigorous" in this case may be ill-defined. What courses are you taking right now? Rigorous math in a physicist's eyes may be completely different than that of a mathematician's. If you are only taking an introductory sequence right now, the math will become more interesting in your later courses, but it won't be on the level of say, real analysis.
 
Where on the path are you? High school? Grad school? What math have you taken?

If you want meaningful responses to this sort of question you need to provide some details.
 

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