The Book of Proof
A very bright, young intern at my office named Zac turned me onto this book. It’s free in .pdf format for all to enjoy. So far it seems to be helping me speak the language of math more. Whenever I have tried to go about “proving” ideas mathematically in the past, I get stumped on the taxonomy of math and wonder exactly how much I have to declare as assumed before I can proceed to “prove” whatever I’m postulating. This is a canonization of mathematical “proof” theory.
Find it here.