Is learning physics helpful for undergrad math students?

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Engaging with advanced physics can significantly enhance the understanding of mathematical concepts, making it a valuable pursuit for those studying mathematics. A solid foundation in physics, particularly classical mechanics, can clarify calculus, while topics like differential geometry and functional analysis gain depth when linked to physics principles such as general relativity and quantum mechanics. The discussion emphasizes that integrating physics into mathematical studies is beneficial, especially for those with a background in calculus and discrete mathematics. The participant expresses a desire to ensure that their time investment in learning is productive, highlighting a commitment to deepening their knowledge in both fields.
A.MHF
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A few months back I bought Spacetime Physics by Taylor and Wheeler, I haven't read it, but I was planning to. Generally, I do love physics especially the math part. I'm also self-learning some courses in mathematics and I was wondering if it would be helpful to me to also start learning some advanced physics for fun.
Any ideas?
 
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What's your background in physics and math?
 
Yes! A lot of physics should be mandatory to math students. A lot of math concepts make WAY more sense with a solid knowledge of physics. Calculus can be understood only fully by knowing some (basic) classical mechanics. Differential geometry really shines when applied to classical mechanics and GR. Functional analysis gains a whole new depth with a solid knowledge of QM. And so on, and so on.

http://pauli.uni-muenster.de/~munsteg/arnold.html
 
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Likes Ravi Mohan, A.MHF and Thewindyfan
Thanks, these were my thoughts at the beginning but I wanted to make I'm investing my time in something useful.
My background is wide, I have deep knowledge of calculus, discrete mathematics, matrices, some knowledge in Set Theory, and a bit of real analysis and number theory. I'm sure I have more knowledge in other areas but they're not that deep. As for my knowledge in physics it's not that much. I have basic understanding of Classical Mechanics, E&M, and optics.
 
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