Wavelet Analysis: The Scalable Structure of Information (Hardcover, 1998. Corr. 2nd)

From the contents: - 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