I was wondering if there is a clear roadmap from algebra all the way to Topology, Real Analysis and Complex Analysis? Apologies if what I’m asking is naive but I’ve just taken a re-kindled interest to math recently.
A little bit about me:
I an a computer science graduate who works 8 hours a day, and have about 3 hours of spare time to study math everyday. The “spark” to take math again was because I wanted to learn the underlying foundation of computer science, which is discrete math. Eventually I wanted to learn more math and decided to aim for an area which requires numerous prerequisites so in that way I have a roadmap to higher areas of math and learn their applications (if any). I self-study, so books are my primary source of information. I know it’s a long road, all the way maybe to 20 or more years, but I am dedicated to it, just for the sake that I find math fun.
Currently I would probably need to refresh myself with algebra, trigonometry, and then start seriously with maybe Set Theory, then learning how to prove theorems. Is this the right sequence to study it?
Again, sorry if I’m asking a very naive question, and thanks for helping.