A First Course in Fourier Analysis by Kammler

This unique book provides a meaningful resource for applied mathematics through Fourier analysis. It develops a unified theory of discrete and continuous (univariate) Fourier analysis, the fast Fourier transform, and a powerful elementary theory of generalized functions and shows how these mathematical ideas can be used to study sampling theory, PDEs, probability, diffraction, musical tones, and wavelets. The book contains an unusually complete presentation of the Fourier transform calculus. 

Wavelets: A Primer

Provides a solid yet accessible mathematical foundation for those interested in learning about wavelets & pursuing the broad range of applications for which the wavelet transform has proved successful.