ABSTRACT
One of the most common solution techniques applicable to linear homoge-
neous partial differential equation problems involves the use of Fourier
series. A discussion of the methods of solution of linear partial differential
equations will be the topic of the next chapter. In this chapter, a brief outline
of Fourier series is given. The primary concerns in this chapter are to
determine when a function has a Fourier series expansion and then, does
the series converge to the function for which the expansion was assumed?
Also, the topic of Fourier transforms will be briefly introduced, as it can
also provide an alternative approach to solve certain types of linear partial
differential equations.
