Gibbs Phenomenon and its Applications in Science and Engineering

摘要

Gibbs phenomenon arises in many applications. In this article, the author first discusses a briefrnhistory of this phenomenon and several of its applications in science and engineering. Then,rnusing the Fourier series of a square-wave function and computer software in a classroomrnexercise, he illustrates how Gibbs phenomenon can be used to illustrate to undergraduaternstudents the concept of nonuniform convergence of successive partial sums over the intervalrnfrom 0 to π.