There are a lot of 'bite-size' books out now that introduce readers to a range of key mathematical ideas without getting too technical or too deep (but not too simplistic either). Thought I'd just mention two of the ones I particularly like for anyone not already familiar with them (feel free to mention your own favorite short intros to mathematics for the non-professional, in the comments section):
"Mathematics: A Brief Insight" by Timothy Gowers:
http://tinyurl.com/4gtcmpo
and, "50 Mathematical Ideas You Really Need To Know" by Tony Crilly:
http://tinyurl.com/4jzbx79
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