I am a Math fan and a self-learner. I try to look at least once a day at a Linear Algebra or Calculus problem to keep myself in shape and to learn.
I also like Analysis, Abstract Algebra and Discrete Math, but I feel I need to and would like to get proficient at proofs.
I have much harder time finding good online sources of solved problems and step-by-step guides for practicing proofs (induction, contradiction).
I would ideally like to have a list of solved proofs that progress in difficulty.
Something like this but in the area of analysis and abstract algebra:
Please suggest any resources and thank you in advance.