An Interesting Infinite Sum, Featuring Fourier Series

Explore the derivation of a closed form for the infinite sum cos(n)/n^4 using Fourier series in this 25-minute mathematics video. Delve into topics such as Fourier expansion, repeated functions, integration by parts, and B coefficients. Follow along as the instructor guides you through the step-by-step process, from the initial setup to the final form of the solution. Gain insights into advanced mathematical techniques and enhance your understanding of infinite series and Fourier analysis.

Intro
Fourier expansion
Repeated function
Integration by parts
B coefficients
Main result
Form
Final Form