I am currently self studying Baby Rudin because I wanted to learn real analysis and introduce myself to proof-writing before I take upper divs. The only places I have already encountered proofs are diff eq and linear algebra and those classes were fairly easy, so I am still new to proofs.
So I was wondering, how would you recommend I take notes on Rudin, or any math textbook in general for that matter? I want to be able to have a clean, organized, ordered set of notes to reference at all times and come back to when I need to. However, I know it is also probably a good thing to try to prove theorems and other things on my own before looking at the proofs in the book, verify proofs from the book, and perform calculations. But this would make my notes cluttered, unorganized, and overall a bad reference for later.
Should I simply copy down every definition, theorem, and proof word for word? Should I not aim to have an clean, ordered set of notes at all and just use up piles of scratch paper as I go through the book?
Basically, for those of you who have read through Baby Rudin, how did you take notes and what would you recommend as the optimal way to do so?