ABSTRACT

This chapter shows that Fourier series can be used for a wide class of functions. It helps the reader to obtain the Fourier series of functions defined on the interval (-π, π) and distinguish between an odd function and an even function. It assists in obtaining Fourier sine series and Fourier cosine series, applying Dirichlet’s conditions to determine the convergence of a general Fourier series, and representing a wide class of functions by means of Fourier series. Harmonic analysis involves using approximate formulae, sums instead of integrals, for the Fourier coefficients an and bn. This is of practical advantage because it is quite common for a function to be defined only in terms of a finite collection of data values. The chapter also examines a practical problem involving a full-wave rectifier.