Makes the intrinsically advanced theory of wavelets accessible to senior undergraduate students with a mathematical background. Inhaltsverzeichnis Preface; 1. An overview; 2. Vector spaces; 3. Inner product spaces; 4. Hilbert spaces; 5. The Haar wavelet; 6. Wavelets in general; 7. The Daubechies wavelets; 8. Wavelets in the Fourier domain; Appendix: notes on sources; References; Index.