Good books on mathematics for somebody who's only taken high school math?
mechanical_fish: A snapshot of my bookshelf's "math" section, which really hasn't changed much since I was in high school and hadn't taken calculus:W.W. Sawyer, What is Calculus About? and Mathematician's DelightCourant and Robbins, What is Mathematics?Hogben, Mathematics for the MillionSteinhaus, Mathematical SnapshotsIvars Peterson, The Mathematical TouristDavis and Hersh, The Mathematical ExperiencePolya, How to Solve ItHuff, How to Lie With StatisticsMcGervey, Probabilities in Everyday LifeRaymond Smullyan: The Lady or the Tiger, Alice in Puzzle-Land, othersAnything by Martin Gardner. I happen to have picked up Mathematical Magic Show and Mathematical Circus, but I'm sure there are many other collections.I also recommend cryptography stuff. David Kahn's The Codebreakers is not really a math book, but it is awesome and it stars mathematicians, as does Simon Singh's The Code Book. You could read Schneier's Applied Cryptography.This is HN, so I would be remiss if I didn't point out that you can learn a lot of fun and useful math by reading SICP, Knuth, or any good algorithms book.If anybody out there knows a good, spirited statistics book addressed to someone who knows calculus, tell me. I keep planning to go through Fundamentals of Applied Probability Theory but I never get around to it; see "Related Resources" here:http://ocw.mit.edu/OcwWeb/Electrical-Engineering-and-Compute...Having said all of that: I have a Ph.D. in physics/EE, so I've got to tell you, if you haven't tried calculus you haven't lived. ;) I'm not sure how to go about learning calculus in a fun way for a mathematician -- I took fairly standard first- and second-year college courses in calculus and physics and learned it that way. The folks on Amazon seem kind of enthusiastic about Spivak:http://www.amazon.com/Calculus-Michael-Spivak/dp/0914098918/...