This text presents a comprehensive, yet easily understandable, introduction to applied Fourier analysis. The first five chapters present the definition and properties of the three main elements of
Fourier analysis: The Fourier Series, Fourier Transform, and the Discrete Fourier Transform. The remaining six chapters build upon the material presented in the first five chapters and demonstrate the power and
applications of Fourier analysis to such areas as mechanical systems, electrical systems, optical systems, wave propagation, heat transfer, numerical analysis, sampling theory, and stochastic analysis.