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That being said, if you have something you want to focus on. Thank you so much. Doesn’t have to be super in-depth. But I feel like those foundational parts of a Funny Never Underestimate A Pitbull Mom With A Teaching Degree Shirt. opposed to a bunch of info all at once. My undergrad is math. During my Masters, I started studying Computer Science, even though my Masters’s is also in Math. I got hired out of Grad school into a Computer Science job. Where I have spent a very enjoyable career. If I were you, I would start branching out now if I realized I wanted to end up in an area of applied (not pure) mathematics. So good. So happy.

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You’re misunderstanding the point of those problems and ascribing it to rigor. The first part of Spivak isn’t analysis, it’s just basic logic problems. They’re there for undergrads who are new to math and oftentimes. At the beginning of any textbook, there are usually a lot of tautologies to get you to Funny Never Underestimate A Pitbull Mom With A Teaching Degree Shirts. So you’ll see a lot of things that seem intuitive, but math isn’t needlessly rigorous, math is appropriately rigorous and you’ll only see that if you study math. You’ll realize for example you can’t divide if you have zero divisors or that you can’t assume differentiability or other things. But you don’t know about integral domains and you haven’t learned analysis. There’s so much you don’t know and that’s why you think it’s “needlessly” complicated. Honestly, this is why I like math. It’s like philosophy but you’re not overdosing on abstractions. Not on the same rate anyway.

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