[DaniFong]

The book What is Mathematics by Courant et. al. is a terrific, read, and highly recommended from generations of mathematicians. It's one of the few math books good enough to compel you to read through the whole thing.

http://www.amazon.com/Mathematics-Elementary-Approach-Ideas-...

There's also the Princeton Companion for Mathematics, which isn't out yet but is available online. It's a wonderful book.

http://pcm.tandtproductions.com/

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