Well, I live off of a trust fund and have eight hours a day to study.
Veeky Forumsence & Mathematics Guides:
Going to start a math major next year, I already bought Spivak, and I can buy another book, what could be another essential book for the rest of courses? (say, Algebra)
(yeah I know about libgen but still)
Are you supposed to learn abstract algebra in high school in the first world? Fuck.
this
This list is a troll, my friend.
Por those who seriously want to learn mathematics (in russian tho)
That user here. I fall for the meme. I'll buy Logic: The Laws of Truth and Enderton's Set Theory. I'll save money for Herstein's Abstract Algebra and Meserve's Fundamental Concepts of Algebra next.
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I made the list
As you can see, the last section is pretty rushed - i didnt care much for it. I made the list not to be entirely encyclopedic, plus I haven't done much analysis, I am doing a PhD in algebraic geometry so I veered more in that direction.
The purpose of the list is not for the experts, but for the beginners, and to see what to strive for. Mostly because every week there's at least 3-4 threads asking for the same thing "where to start?", and I thought I'd make it because the meme lists that recommend reading 10 books before calculus are a joke.
>This list is a troll, my friend.
What do you mean?
When I tried Spivak for the first time I had to drop it - I had no experience with proofs and I couldn't do most of the first exercises. Maybe it was because I am a brainlet, but I feel it's mostly because I had no exposure to the sort of thinking that goes into proving theorems in analysis. Further, to a layman beginning the journey, starting with a weakly motivated and rigorous text is going to push him away. That is the reason why I put Stewart - because it motivates the student by giving simple visual explanations as to why things work, and even if you have to take certain things as a given, developing the intuition at this stage is key.
I paraphrase what I read from some user: "if Newton had come up with Riemannian geometry, nobody would have listened to him and would have taken him as a hack".
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