TITLE: Resources for Proof practice
QUESTION [5 upvotes]: 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.

REPLY [2 votes]: For induction I highly recommend this book: http://www.amazon.com/Handbook-Mathematical-Induction-Applications-Mathematics/dp/1420093649
It has many problems on induction, strong induction, and many variations of induction. Also the answers are in the back of the book.