Leonhard Euler - Infinite Series and Complex Variables

In this video, we explore the life and legacy of the legendary mathematician Leonhard Euler. Join us as we dive into his groundbreaking contributions to mathematics, including his solution to the famous Basel Problem and his work on complex variables.

Chapters:
0:00 - Intro
1:54 - Basic Biography
3:31 - Part I: infinite Series Introduction
4:57 - Part I: The Basel Problem - Bounding
9:06 - Part I: The Basel Problem - Exact Value
11:38 - Part II: Complex Variables Introduction
13:20 - Part II: Complex Variables - Taylor Series of cos(x)
14:43 - Part II: Complex Variables - Euler's Formula
16:09 - Part II: Complex Variables - Euler's Identity
17:16 - Final Remarks

#maths #mathematics #mathematician #euler #mathhistory #infiniteseries #complexnumbers #calculus #education