Found in 1 comment
by candu
There are several amazing suggestions in this thread already.

I'll toss in vote N+1 for "How to Solve It" by PĆ³lya: once you get past the hurdle of just understanding notation / language and some of the basic concepts, mathematics becomes much more about problem-solving.

Aside from that...

Oliver Byrne's Euclid: - a graphical treatment of Euclid's Elements. Much, much more accessible than earlier renditions, and a great introduction to methods of proof.

Vi Hart's videos: - she does a wonderful job of conveying the wonder of mathematics in a clear, informative manner.

A Mathematical Mosaic: - this was one of the books that got me excited about mathematics as a kid. The material is advanced by high school standards, but presented in a way that invites you to think / learn / generalize.

Original thread

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