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The theorems in this list are in many cases central topics in 1+ semester courses, and aren’t really worth worrying about out of context. Overall you are looking at more than 5 years of full-time (40 hours/week) study, maybe more than 10 years. Unless you have extensive background reading and writing proofs, self-study is not likely to be very effective. You could conceivably make your way through with textbooks and the help of an expert tutor/mentor.

For most people the easiest method would be to enroll in an undergraduate mathematics degree at a decent university.

If you wanted to make your way through more of the topics in this list than an undergraduate degree covered, you could follow-up by enrolling in a PhD program.



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