Fourier analysis is a mathematical technique for decomposing a signal into identifiable components. It is used in the study of all types of waves. This book explains the basic mathematical theory and some of the principal applications of Fourier analysis in areas ranging from sound and vibration to optics and CAT scanning. The author provides in-depth coverage of the techniques and includes exercises that demonstrate straightforward applications of formulas as well as more complex problems.

Offers a treatment of Fourier Series, Fourier Transforms, and FFTs. This title covers topics such as applications to vibrating strings, heat conduction, removal of noise and frequency detection, and filtering of Fourier Series and improvement of convergence.