There's so much talk about the threat posed by intelligent machines that it sometimes seems as though we should surrender to our robot overlords now. But I'm not ready to throw in the towel just yet. We have the edge over machines because of a remarkable system of thought developed over the millennia. It's familiar to us all, but often badly taught and misrepresented in popular discourse - maths. In this book I identify seven areas of intelligence where humans can retain a crucial edge. This is mathematics as you've never seen it before!