The present monograph is devoted to theoretical and applied aspects of wavelet analysis. The book details practical applications of wavelet theory and provides an overview of fundamental work carried out in the field of neurodynamics and neurophysiology over the past decade. The introductory theoretical part of the monograph uses a special didactic approach to the presentation of the mathematical apparatus of the wavelet transformation and its two varieties (discrete and continuous), based on the conceptual system of traditional Fourier analysis. The book includes the results of a study of the dynamics of individual neurons and extracellular electrical potentials using radiophysical approaches using wavelet transformation. The principles of classification of neural impulses (spikes) taking into account their form are described, the prospects for the use of the wavelet apparatus in combination with the method of artificial neural networks are considered. The principles of frequency-time analysis of the electrical activity of the brain (electroencephalograms) in normal and pathological conditions are described in detail, the technical details of the automatic diagnosis and processing of EEG signals using the continuous wavelet analysis apparatus. are described. The monograph can be interesting and useful as specialists-neurophysiologists , Medical , Biophysicists , Nonlinear Nonstationary Signals of Biological Nature , CM and CM who are only mastering these areas of knowledge, High School Students , Graduate and post-graduate students , students in the relevant specialties and directions.