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Offers an introduction to the basic properties of wavelets, from background math to powerful applications. This book provides elementary methods for constructing wavelets, and illustrates several classes of wavelets. It offers a description of local sine and cosine bases that have been shown to be very effective in applications.

This book assumes the students know some of the basic facts about Calculus. We are very rigorous and expose them to the proofs and the ideas which produce them. In three chapters, this book covers these number systems and the material usually found in a junior-senior advanced Calculus course. It is designed to be a one-semester course for "talented" freshmen. Moreover, it presents a way of thinking about mathematics that will make it much easier to learn more of this subject and be a good preparation for more of the undergraduate curriculum.