>>11559175Don't waste money on textbooks, most maths books are made freely available by their authors and those that aren't can be pirated really easily.
Start with linear algebra and real analysis. For linear algebra I like Linear Algebra Done Right (Axler) but some people here hate it. I didn't use a textbook for real analysis so I can't help you there.
From there learn some group/ring theory with Algebra (Artin) and analysis for metric spaces (again I don't have a textbook).
After this where you go depends on what you've been enjoying. If you've been enjoying algebra check out Galois theory, algebraic number theory, or algebraic geometry. If you've been enjoying analysis check out differential geometry,measure theory, or functional analysis.
Pointset topology is a waste of time beyond the basics, just learn it as you need it. Algebraic topology is a area which Hatcher is a good intro to.
