Uma introdução ao estudo das séries de Fourier através do problema de condução de calor em uma barra.

Abstract

We will present in this work an analysis of the heat conduction problem on a bar, a problem in Mathematical Physics that will be solved using the theory of the Fourier Series. As a motivation for the study of such series, we will verify that the problem at hand cannot be solved using only the knowledge of Calculus Differential and Integral and Differential Equations: we will need a tool more powerful, which will be our main object of study. We will use the Fourier method or method of separating variables that will indicate

a candidate function to solve the problem. Next, we'll cover in detail- mind the necessary and sufficient results to show that this is really the solution

of such a problem. Before, however, we will review some topics relevant to the job.