Description: This book represents a skillful attempt to explain nonlinear dynamical analysis, signal detection, topography, and source localization.
Purpose: The purpose is to "promote the understanding of mathematical methods among neurophysiologists and to encourage communication between these disciplines."
Audience: The audience is the neurophysiologist who needs greater understanding of these complex mathematical concepts and, in general, the book is successful. Only in a few chapters are the writing and the calculus sufficiently complex to overly challenge the reader.
Features: Special features in this book include some excellent color illustrations of topographic brain maps as one of the clinical applications of EEG analysis. Another excellent feature is the group of five chapters on source localization, especially the clinical applications of voltage topography and source localization in partial epilepsy.
Assessment: Perhaps the most difficult portions of the book are represented by the chapters on nonlinear dynamical analysis that include discussions of the fractal dimension, delay-timing embedding, estimating correlation dimension, saturation, surrogate-data testing, and, in general, the measures derived from chaos theory as applied to brain activity. The Lyapunov exponents, stationarity, and dynamic changes in relation to clinical events are an attempt to relate these concepts to the patient. As mentioned by one of the authors, "there is also the promise that nonlinear strategies of data analysis in combination with well-articulated theories will eventually offer possibilities for an enhanced understanding of the nature of the EEG-generating system and its pathological variants."