Lectures from the American Mathematical Society Short Course held in San Antonio, Texas in January 1993. Lectures discuss wavelet transforms and orthonormal wavelet bases, wavelets and operators, projection operators in multiresolution analysis, wavelets and differential operators, wavelets and fast numerical algorithms, wavelets and adapted waveform analysis, best-adapted wavelet packet bases, and nonlinear wavelet methods for recovery of signals. No index. Annotation copyright Book News, Inc. Portland, Or.