>>11630348

Basic mathematical logic and axiomatic set theory. Most books will cover a large amount of topics, the important for you to learn are (order, equivalence) relations, functions, basic cardinality tests and axiom of choice. After that go for abstract algebra and learn group, field and Galois theory; then you are ready to go for vector and matrix spaces. Now you know linear algebra you've unlocked many topics: Practically all the elementary number theory theorems are just applications of some algebraic structure propierties, you should read some elementary synthetic geometry (maybe euclidean or some contemporary axiomatic systems such as Hilbert's or Tarski's) then go into analytic geometry (you can transition easily proving that the space is a vector space). You should read mathematical analysis, with your set theory knowledge you should be able to construct all the basic known number sets (from naturals to reals), then learn (Cauchy) sequences and limits; bam! You are ready for derivates, now you have two choices: the virgin engineer path to continue reading just concrete real analysis or the chad topologist path. You take the red pill, you know set theory so you should be just fine. After you've learn the basics of Set Theory, Algebra, Number Theory, Analysis, Topology and Geometry you are free to choose the one(s) you enjoy the most and keep going, have a nice life, anon