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pyl3r

- 3

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Should I just go into Lang's book and start developing a sense for proofs and mathematical rigour while also understanding the topics that I missed in school? Or should I go through Gelfand's books and then focus on learning proofs?

Although I know that Gelfand's books do contain proofs, I don't believe they put as much emphasis on them as Basic Mathematics.

And on another note, would learning proofs on my own while reading Basic Mathematics be feasible? Or will I need a proof centric book before even attempting to do so?

My eventual goal is to have covered early to high school mathematics and be able to understand it, which will then allow me to explore the areas in math and physics that interest me, like combinatorics, number theory, topology, astrophysics,... But my primary goal is just having a great foundation in the basics.

Any advice is welcome.