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I got to Abstract Algebra (chapter 3, I'm a real go-getter...) and I'm fairly certain Pure Mathematics is just not something I'm going to enjoy. I can absolutely appreciate the beauty and insight gained from a rigorous logically sound proof, but all the talk about monoids and semigroups is just not in my wheelhouse. I can understand and appreciate them as algebraic structures that have some purpose I'm sure, it's just that I'd rather not prove that (Q*, • ) is a commutative group. I understand that there is a purpose in doing so, but I don't see that purpose aligning with my goals or interests. *To be fair, I also don't have much exposure to more math other than the very basics of Abstract Algebra, so I very well could just not like Abstract Algebra, and like different areas of pure math. It is midnight though, so more likely than anything I just want to go to bed or play the new Fire Emblem Warriors instead of dealing with proofs, which is the most realistic option here.*

I know it is more than possible to get through undergrad without a single pure math course, but if my goal is to be the best undergraduate physics student I can, and be the ideal candidate for graduate schools (this is not necessarily my goal, but for the sake of argument), what level of understanding would I want with pure mathematics, and would I be better served taking courses like Abstract Algebra and Real Analysis, or more advanced CS courses, or more statistics courses, or anything of that nature? More chemistry/bio if I find myself interested is biophysics? Lots of questions, I apologize. The general idea is in the post title, is a strong grasp of Pure Mathematics required to be an ideal candidate as a Physics student?

Also p.s. I know none of this actually matters right now and I have 4 years to deal with it, I am just nosy and like planning and would appreciate some opinions from those more experienced than I.