Wavelet analysis: the scalable structure of information

Part I: The Scalable Structure of Information: 1. The New Mathematical Engineering 2. Good Approximations 3. Wavelets: A Positional Notation for Functions.- Part II: Wavelet Theory: 4. Algebra and Geometry of Wavelet Matrices 5. One-Dimensional Wavelet Systems 6. Examples of One-Dimensional Wavelet Systems 7. Higher-Dimensional Wavelet Systems.- Part III: Wavelet Approximation and Algorithms: 8. The Mallat Algorithm 9. Wavelet Approximation 10. Wavelet Calculus and Connection Coefficients 11. Multiscale Representation of Geometry 12. Wavelet-Galerkin Solutions of Partial Differential Equations.- Part IV: Wavelet Applications: 13. Wavelet Data Compression 14. Modulation and Channel Coding.- References.- Index.