×

An introduction to wavelets through linear algebra. (English) Zbl 0968.42021

Undergraduate Texts in Mathematics. New York, NY: Springer. xvi, 501 p. (1999).
From the publisher’s description: “This introduction to wavelets assumes a basic background in linear algebra 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 theory 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 topics course for mathematics majors, because it exhibits an emerging mathematical theory with many applications. It allows engineering students without graduate mathematics prerequisites to gain a practical knowledge of wavelets”.

MSC:

42C40 Nontrigonometric harmonic analysis involving wavelets and other special systems
42-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to harmonic analysis on Euclidean spaces
00A06 Mathematics for nonmathematicians (engineering, social sciences, etc.)
PDFBibTeX XMLCite
Full Text: DOI