
Mathematics is beautiful--and it can be fun and exciting as well as practical. Good Math is your guide to some of the most intriguing topics from two thousand years of mathematics: from Egyptian fractions to Turing machines; from the real meaning of numbers to proof trees, group symmetry, and mechanical computation. If you've ever wondered what lay beyond the proofs you struggled to complete in high school geometry, or what limits the capabilities of computer on your desk, this is the book for you.
* Computer Science, an interdisciplinary perspective by Robert Sedgewick * Code by Charles Petzold * Good Math by Mark C. Chu-Carroll
https://www.amazon.com/Good-Math-Computation-Pragmatic-Progr...
A great review of college math and CS. The book goes over FOPL, Set theory, Turing machines and lambda calculus among other things. A fun read!
"Dirty Rotten Infinite Sets and the Foundations of Math" http://www.goodmath.org/blog/2007/10/15/dirty-rotten-infinit...
Wildberger also wrote a book on geometry with nothing allowed but rationals. (Or something like that.)
A Gamut of Games - Sid Sackson
Good Math - Mark Chu-Carroll
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