Synopsis
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 Differentail Equations; Part IV: Wavelet Applications; 13. Wavelet Data Compression; 14. Modulation and Channel Coding; Bibliography
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