the literature which is confined to ``Bibliographic Notes'' (pp. 347 350) is too brief for a book of this length on a subject with such a rich history. Apart from these points, I enjoyed reading the book. I would recommend the book for any library which already includes [1] and [2] because the work of Stepanets continues the traditions of these classic works and it is easier to read. This volume contains 19 papers presented at the NATO Advanced Study Institute on Wavelets and Their Applications, held at Il Ciocco resort near Lucca, Italy, between August 16 and 29, 1992. Many of the world's experts in the field of wavelets were principal speakers. Papers in these proceedings include applications of wavelets to random processes, timefrequency estimation in general and Gabor representations in particular, wavelet packets for data compression, multiscale statistical modeling, applications of frame-like expansions, Clifford wavelets and Hardy spaces (for solving partial differential equations), group representations, the continuous wavelet transform and the generalized modulus of continuity, perturbations of the dilation equation, and neural networks.