Einstein Summation Convention: an Introduction

In this video, I introduce Einstein notation (or Einstein Summation Convention), one of the most important topics in Tensor Calculus. Einstein notation is a way of expressing sums in short-form; repeated indices are used to denote the index that is summed over. I describe the 4 major rules of Einstein notation, as well as the definitions of free and dummy indices. I also discuss some important information related to these major rules. Questions/requests? Let me know in the comments! Prerequisites: The videos before this one on this playlist:    • Tensor Calculus   Lecture Notes: https://drive.google.com/open?id=1qgQ... Patreon: https://www.patreon.com/user?u=4354534 Twitter:   / facultyofkhan   Special thanks to my Patrons for supporting me at the $5 level or higher: Jose Lockhart James Mark Wilson Yuan Gao Marcin Maciejewski Sabre Jacob Soares Yenyo Pal Lisa Bouchard Bernardo Marques Connor Mooneyhan Richard McNair