CHAPTER 14 – FOURIER SERIES

Publisher Summary This chapter focuses on Fourier series. The chapter presents the Euler–Fourier formulae. The Dirichlet's conditions are discussed. A function f(x) defined in the closed interval [a, b] is called regular in its sub-intervals if the given interval can be divided into a finite number of closed sub-intervals such that in each of these intervals the first derivative of the function is a continuous function. If the function f(x) is regular in its sub-intervals then the first of Dirichlet's conditions is automatically fulfilled.