This is an interesting text that seems to be 3 separate book ideas mashed into one. Part biography of James Maxwell, part mathematical and physics history, part mathematical philosophy, Arianrhod is all over the place. She writes with passion, and the portion of the book that describes the life of James Maxwell is a well written biography of one of physics' most under-recognized heroes. I think she would have been better off on tackling one of these ideas, but there are some really interesting insights into vector calculus and the nature of mathematics in this book.