I recently read a book titled Mathematical Mysteries / the beauty and magic of numbers, by Calvin C. Clawson. It's ~300 pages of just these sort of oddities. While reading the chapter about the strange coincidences of phi, pi, and e, I was absolutely riveted.
I'm a mechanical engineering major, and I'm about to take calculus. Learning these kind of things about numbers really makes me want to take the high-end math the UNLV has to offer. I find it all incredibly fascinating.
Nice to find a kindred spirit, and thank you for the post!
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