Gilbert Strang received his Ph.D. from UCLA and since then he has taught at MIT. He has been a Sloan Fellow and a Fairchild Scholar and is a Fellow of the American Academy of Arts and Sciences. He is a Professor of Mathematics at MIT and an Honorary Fellow of Balliol College. Professor Strang has published eight textbooks. He received the von Neumann Medal of the US Association for Computational Mechanics, and the Henrici Prize for applied analysis. The first Su Buchin Prize from the International Congress of Industrial and Applied Mathematics, and the Haimo Prize from the Mathematical Association of America, were awarded for his contributions to teaching around the world.

1. Introduction; 2. Filters; 3. Downsampling and upsampling; 4. Filter banks; 5. Orthogonal filter banks; 6. Multiresolution; 7. Wavelet theory; 8. Finite length signals; 9. M-channel filter banks; 10. Design methods; 11. Applications; The discrete cosine transform; The lifting scheme; Block transforms in image coding.