This text was originally written for a "Capstone" course at Michigan State University. Basic wavelet theory seems to be a perfect topic for such a course. It is on the boundary between mathematics and engineering. Students can see non-trivial mathematics ideas leading to natural and important applications, such as video compression and the numerical solution of differential equations. The only prerequisites assumed are a basic linear algebra background and a bit of analysis background. This text is intended to be as elementary an introduction to wavelet theory as possible. It is not intended as a thorough or authoritative reference on wavelet theory.

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