The Hernandez-Weiss book is a great source in mathematics, where the reader can learn about some fundamental and timeless tools of wavelet analysis. The presentation is clear and self contained. The book is great for an upper level analysis course, as well as for self study. Its emphasis is centered around the multiresolution method, and it has both the basics in the subject, and some exciting new results, — those due to the co-authors, as well as those of the analysts in the extended "Wash U-family" of researchers. It has a wealth of new material that came after the 1992 classic of I. Daubechies ("Ten lectures on wavelets" SIAM ).The presentation in Hernandez-Weiss of, for example, multiplicity theory and the dimension function is great for the student who wishes to pick up the central ideas, or to learn the details, step by step. The book contains both history and motivation, and it points the reader towards a variety of exciting and timeless applications.