I'm getting close to finishing up my abstract algebra refresher self-study. I can't stress enough how important it is to be able to take a pen and paper to a proof of a main theorem that is presented in a chapter and then being able to put it into your own words and make sense of it via identifying the various definitions, theorems, corollaries, lemmas, and other mathematical ideas that were involved in successfully writing the proof (this process is referred to as self-explanation). Hence, IMO, once one gains a general understanding of proofs, then learning a proof-based math subject is a good way to hone one's self-explanation proof skills.
That said, once I'm finished, I'm debating whether to take a break from math or to jump right into teaching myself basic graph theory; IMO, graph theory seems like an interesting topic.
That said, once I'm finished, I'm debating whether to take a break from math or to jump right into teaching myself basic graph theory; IMO, graph theory seems like an interesting topic.
