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I'm facing the dilemma that my university's math department offers Mathematics and Applied Mathematics. Since I hope that my second degree would compliment and strengthen my knowledge in physics, which branch of math should I register myself to?

I have heard that applied math related to physics more closely compared to this "pure" math, which is quite unrelated to theoretical physics. Or is that pure math related to physics in an indirect but still profound way so eventually it can helps my physics?

Thanks in advance.