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I suggest "What Is Mathematics?" by Richard Courant and Herbert Robbins. https://en.wikipedia.org/wiki/What_Is_Mathematics%3F https://en.wikipedia.org/wiki/Wha

• blendo 6y ago
  My high school math professor recommended this to me 40 years ago. I got it, then put it on a shelf for 20 years. When I picked it back up, it somehow had become delightful! Perfect subway reading. Review: http://www.ams.org/notices/200111/rev-blank.pdf http://www.ams.org/notices/200111/rev-blank.pdf