what's a good book to segue from a calc sequence to upper level proof based classes? i need something that presumes nothing about my mathematical reasoning abilities, like i don't even know how to do proof by induction.
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The best book in my opinion is An Introduction to Mathematical Reasoning by Peter J Eccles. It teaches you how do proofs, and covers a variety of mathematical fields. I myself learned to do proofs from this book. He is coming out without another edition later on. The book has questions and problems. The problems are harder than the questions, and some of them are challenging.