Going back to the "breadth" recommendations, if someone wants a real appetizing sushi sampler of the breadth of Mathematics, I would highly recommend "The Joy of X" http://www.amazon.com/Joy-Guided-Tour-Math-Infinity/dp/05441...
It covers a number of topics in Mathematics and makes them really easy to follow for someone with no background in Maths. I especially liked how in a few pages I succinctly understood div, grad and curl from vector calculus.
For anyone wanting to start out on a full course meal of Mathematics this would make a very appetizing sampler.