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>> No.15665416 [View]
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>>15665318
That's what I figured, but I just wanted to make sure. Keep in mind that there's no real formalized method for how to approach mathematics, so this is mostly going to be my opinion. I would first say to get a book that introduces you to how to write proofs. Journey Into Mathematics: An Introduction by Joseph Rotman is probably the best introductory yet still fairly rigorous way for someone to learn about how to write and read mathematical proofs for self-study. After this, you can go in a few directions. Personally, I would say from here to go to naïve set theory. For this I would recommend Set Theory & Logic by Robert Stoll. This will introduce you to basic concepts and axioms of mathematical logic and set theory (both of which are ubiquitous in math). Just as a forewarning, the book gets somewhat technical to the end and beings going into abstract algebra which you won't be able to grasp unless you have an understanding of group theory. After this, I would recommend briefly going over point set topology and topology of the reals. For this, I recommend Introduction to Topology by Bert Mendleson. The first few chapters are fantastic, but after those it quickly ramps up and won't be of much use to you, but it's worth it for the first few chapters. After all of these, I would recommend learning some linear algebra and vector calculus. There are so many texts on these that I don't really have any particular recommendations and you could honestly probably just follow along with lectures on YouTube. After all of this, you can probably start getting into low level analysis. The book for this that I'd recommend is Analysis With An Introduction to Proof by Steven Lay.

If you have any other questions, let me know, and again this is just my opinion and how I'd go about it. There's no 'right' way and self-studying mathematics is definitely not an easy task to do.

>> No.15659207 [View]
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