This book combining wavelets and the world of the spectrum focuses on recent developments in wavelet theory, emphasizing fundamental and relatively timeless techniques that have a geometric and spectral- theoretic flavor. The exposition is clearly motivated and unfolds systematically, aided by numerous graphics. Self-contained, the work deals with important applications to signal processing, communications engineering, computer graphics algorithms, qubit algorithms and chaos theory, and is aimed at a broad readership of graduate students and researchers in applied mathematics and engineering.