>>8560921>What would be the better learning order?Learn in parallel - learn the math as you need it. Early on I tried to proactively learn the math but I found I wasted a lot of time learning stuff I didn't need and will never need e,g. rings, ideals, most of group theory.
Learn as needed.
Also people will tell you that you cannot learn on your own and college is better. I have done both and my conclusion is that learning on your own is better as long as you have the discipline and !!!do the exercises!!! and redo the proofs in your own words and diagrams.
Going to college you tend to rush things and cram for exams and then forget it. I did linear algebra at college and forgot all of it. Now having studied it myself it is ingrained deeply.
The only case where a college would be better is if the college is genuinely first tier top 10. Even then there is little contact with the actual top profs before grad school, if then.
If you want to self-study I suggest two books "A mind for numbers" and "deep work". They might change your whole experience.
