I am mid-way through the second iteration of working problems in "The Book of Proof" by Richard Hammack. It is book on how to learn how to do mathematical proofs. Despite the review, I find that I am still having difficulty doing some of the more difficult problems involving direct proofs, contra-positive proofs, and proofs by contradiction. I believe now that the reason for this is that I have trouble doing proofs backward as well as forward (or meeting in the middle). Where can I find more illustrative examples and/or solved problems to learn this skill better (step by step) so it comes more automatically? I feel like it is key to my success learning how to do proofs and I am still struggling with it.
2026-04-26 02:44:02.1777171442
Where do I find examples or problems that illustrate doing proofs backward?
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