This book includes a very detailed description of how to apply some chaos theory techniques - primarily R/S analysis - to time series data. With this technique, one can gauge whether a time series is completely random, completely predictive, or a mixture of these.
This book glosses over some conceptual topics such as Efficient Market Theory and the Fractal Market Hypothesis in favor of details to perform a rigorous statistical analysis. These conceptual topics are better covered in Peters' earlier work "Chaos and Order in the Capital Markets".
For the analytically oriented reader, there can be much frustration as equations are often initially presented in sloppy and unusable forms with undefined parameters (hence 4 of 5 stars). However, these are subsequently broken down and presented in a step-by-step manner that will allow most readers to implement his techniques.
Overall, this is an excellent introductory book for the practitioner or economist, not so great for the non-technical reader.