Chapter 1. Preliminaries.- Chapter 2. Fourier analysis.- Chapter 3. Wavelets on flat geometries.- Chapter 4. Wavelets on arbitrary manifolds.- Chapter 5. Wavelet transform.- Chapter 6. Introduction to numerical methods.- Chapter 7. Wavelet Galerkin methods.- Chapter 8. Wavelet Collocation methods.- Chapter 9. Wavelet optimized numerical methods.- Chapter 10. Other Wavelet based...