- Analysis
"Principles of Mathematical Analysis", Rudin
[Prerequisites: Some background in calculus. Strong working knowledge of set theory] - Category Theory
"Category Theory", Awodey
[Prerequisites: Reasonable backgorund in abstract algebra. Mathematical maturity] - Lattice Theory
"General Lattice Theory", Gratzer
[Prerequisites: Comfortable with basic set-theoretic language and symbols. Some mathematical maturity] - Linear Algebra
"Linear Algebra", Hoffman and Kunze
[Prerequisites: Comfortable with basic set-theoretic language and symbols] - Logic
"Mathematical Analysis", Kleene
[Prerequisites: Patience and a willingness to learn]
Books
Below is a continuously-updated list of books which I recommend for learning particular disciplines. I will only recommend what I've had some experience with myself.
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