>>12095976>>12096191>>12097442Just go to some university math department webpage and look at their course progression for math majors. Normally a math education falls into "computational" math courses, then into "theoretical" courses. The former is just calculus, linear algebra, and differential equations, generally in that order. Maybe throw in a discrete math class if you want. Follow a university course progression for this and you should be good to go. No need to read spivak or apostol, you're most likely not trained in proofs and its going to burn you out. Just get whatever the course syllabus recommends honestly, and do the homework/problem sets they give out. If you don't want the textbook, get whatever book the /sci/ wiki recommends.
The second phase is higher level "theoretical" math. The problems people face here is they dont have the mathematical maturity to understand proof writing or the abstractions that come with studying these upper level courses, so they end up hitting a wall. When it comes to "mathematical logic" and foundational approaches to math, don't pay attention to the autistic guides that make you read three books on propositional logic. Instead, just read three books pertaining to the subjects in the following order:
1. Propositional and Predicate logic
2. Naive Set Theory
3. Intro to Proofs
And thats it. Reading in this order will prepare you for areas in abstract algebra/analysis and beyond. Thats all there is to a math education, and by the time you're studying abstract algebra you will already have the mathematical maturity and knowledge to not need a guide to tell you where to go next. Keep in mind that this would take 2-3 years to do. Mathematical maturity takes time to cultivate, and is not expedited by following some guide. You have to learn to appreciate and understand whats going on, or youre going to burn out.
