Basing the text on a course he developed, Van Fleet (mathematics, U. of St. Thomas) introduces the topic of discrete wavelet transform and its applications to image compression, image edge detection, and signal denoising to students who have taken calculus and linear algebra. In order to do so he introduces complex numbers, convolution, and Fourier series, as well as other elements of late-20th-century mathematics. The material is arranged into 11 chapters covering vectors and matrices, introduction to digital images, complex numbers and Fourier series, convolution and filters, the Haar wavelet transformation, Daubechies wavelet transformations, orthogonality and Fourier series, wavelet shrinkage (an application to denoising), biorthogonal filters, computing biorthogonal wavelet transformations, and the JPEG2000 image compression standard. Annotation ©2008 Book News, Inc., Portland, OR (booknews.com)