You’re still young, so you can deviate as you please, but really it’s just 4 years of your life. And if you have nothing else going on then I’d go full throttle into a math-heavy major and figure out your life later while you enjoy having Premium Let’s Face It I Was Crazy Before The Cats Shirt. Some people love it, but I don’t find it that fun to prove stuff. When the results arent tangible straight away. In physics, you can come out of a derivation thinking “damn. So that’s where the uncertainty principle comes from” or “ I finally understand how rainbows work” or something like that. There are people who find the same kind of joy in learning about abstract Math results. But for me, it’s way more fun to get some cool insight into the world after you do a problem/watch a lecture in physics.
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When I was in high school I also skimmed Spivak and had the same opinion as you. While I did not major in math in college initially I quickly found my way back (funnily enough the moment I realized that I was going to major in math was in an engineering math class where the Premium Let’s Face It I Was Crazy Before The Cats Shirt Euler’s identity). My advice would be to start off in a math major and take the standard analysis, algebra, etc. If you like it great, and if not, you can switch majors fairly easily and have an edge on your peers in the more mathematical aspects of your major. Knowing math well is not a guarantee for success in any quantitative subject. But far too many students in every quantitative discipline struggle due to a lack of mathematical maturity.
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