A Study on Fourier Series with Maple

Abstract

In this paper, we use the mathematical software Maple as a problem-solving tool to study the Fourier series expansion problem of absolutely integrable  periodic functions. The way we study is to get the answers by manual calculation, and then use Maple to verify the answers. This kind of research not only allows us to find the calculation errors, but also can help us to amend the direction of the original thinking, because we can verify the correctness of the theory from the consistency of manual and Maple calculations.