Proof and the Art of Mathematics
by Joel David Hamkins · first published 2020
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…you entertained. https://www.amazon.com/dp/B08T8JCVF1 If you still want a gentle introduction to proofs but would prefer if the author uses a more serious tone like traditional textbooks, I recommend Proof and the Art of Mathematics by Joel Hamkins. https://www.amazon.com/dp/0262539799
on “Ask HN: How to learn mathematical proofs from scratch?” ↗Velleman's How to Prove It greatly helped my ability to construct set theoretic proofs, which better prepared me for Spivak's calculus and Baby Rudin. Hamkins' Proof and the Art of Mathematics is designed as a a good, less set-theory heavy, introduction to proof writing that leads more naturally to analysis. OpenStax books are FREE.
on “Ask HN: Math books that made you significantly better at math?” ↗Nice and concise! I just started Proof and the Art of Mathematics by JD Hamkins[0], based on pg's recommendation[1], "is a beautiful book in both senses. It's both beautifully written, but also physically beautiful, thanks to its many illustrations, which I was surprised…
on “Basics of Proofs [pdf]” ↗