Nicely balanced between philosophy and mathematics. It forms a good introduction to chaos theory. The connections between the different aspects are well illustrated. The writing style isn't always that great though. A bit too wordy here and there. I also think that since the publication date of this book, a lot has happened in chaos theory, so it may not be up to date anymore. His book on Gödels theorems was excellent. This one is OK.
A thoughtful book that balanced chaos theory, mathematical formalism, and philosophy. By advocating a pluralistic approach to the definition of chaos that includes attractors, scale and fractal similarity, and periodic behavior it does quite well to encompass much of the field. It also does well to talk about scientific advancement in physics and mathematics, beyond a textbook view found in many histories and philosophies of science. Well worth a read.