http://www.amazon.com/True-Beauty-Math-Foundations-ebook/dp/B0192BGKLK
Math is not what they teach us in high school. It is not a collection of arbitrary rules for symbol manipulation that are meant to be repeated until a desired result is obtained. Instead, math is about creation and creativity, it is about logic, truth, and beauty.
In this book we explore the world of math that mathematicians themselves interact with. In many cases, this is the math that makes mathematicians fall in love with the subject in the first place. This user-friendly though not at all watered-down introduction to abstract math will make anyone fall in love with and understand REAL math, regardless of their experiences in high school.