An Introduction To Wavelets Through Linear Algebra - Frazier

Descripción

LIBRERÍA LEA+

The mathematical theory of wavelets is less than 15 years old, yet already wavelets have become a fundamental tool in many areas of applied mathematics and engineering.

This introduction to wavelets assumes a basic background in linear algebra (reviewed in Chapter 1) and real analysis at the undergraduate level. Fourier and wavelet analyses are first presented in the finite-dimensional context, using only linear algebra. Then Fourier series are introduced in order to develop wavelets in the infinite-dimensional, but discrete context. Finally, the text discusses Fourier transform and wavelet theoru on the real line. The computation of the wavelet transform via filter banks is emphasized, and applications to signal compression and numerical differential equations are given.

This text is ideal for a topic course for mathematics majors, because it exhibits an emerging mathematical theory with many applications. It also allows engineering students without graduate mathematics prerequisites to gain a practical knoledge of wavelets.

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