Drew Shulman : Euler's Evaluation of Infinite Series

Posted by Josh Fletcher , part of the MATH Club.

At

Oct. 29, 2025, 1 p.m.

In

636 SEO

Abstract

Leonhard Euler stands among the most influential mathematicians in history. One of his earliest and most remarkable achievements, which helped establish his reputation, was the evaluation of the infinite series of the reciprocals of the squares: 1 + 1/4 + 1/9 + 1/16 + ... now recognized as a p-series with p=2. In this presentation, we will explore Euler’s original proof of this celebrated result and examine how he extended his methods to determine the values of other p-series.

There will be free pizza (while supplies last).