Well basically, I've always been thought maths from a technical (operations) point of view. For example, we were taught the quadratic equation but I have no idea how or why it works. However, I am amazed and fascinated by maths at times when I wander off and mess about with numbers and theories, or at things like the omnipresence of e or the trigonometric functions. I suppose what I'd like to know is whether there are any books you can recommend that I should read that explore maths from an interesting perspective and explain the theory behind things and whatnot, I'm sure you know what I mean! Thanks in advance. edit: in case it helps, I am 16 and in school, I have a strong interest in physics and have represented Ireland at Science Olympiads, just if that makes it any easier to gauge my interests and ability.