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.

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Prerequisites: The videos before this one on this playlist: https://www.youtube.com/playlist?list=PLdgVBOaXkb9D6zw47gsrtE5XqLeRPh27_

Lecture Notes: https://drive.google.com/open?id=1qgQvuoDU_1EScznBjWzHc_dV_GJGCsmU
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Видео Einstein Summation Convention: an Introduction канала Faculty of Khan