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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:
http://archives.math.utk.edu/visual.calculus/0/domain.1/index.html
http://archives.math.utk.edu/visual.calculus/

Please suggest any resources and thank you in advance.

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