1. Topological tensor approach to Electromagnetics
In this section we'll discuss about natural physical quantity representation in 3D. I used two main notations.
Abstract index : $\mathbf{a}$, $\mathbf{b}$, $\mathbf{c}$ (LINK)
Component index : $\alpha$, $\beta$, $\gamma$
I also used $[\cdot]$ to indicate totally anti-commuting indices and $(\cdot)$ to indicate totally commuting indices for convention.
This post is my presentation materials used to give a presentation at KAIST before. In the actual presentation, I almost skipped the formula and made the very simple presentation, but the draft one is very detailed, so I think it can replace the post.
Last spring semester, I was supposed to give presentations both in Classical Mechanics and in General Relativity. In order to reduce the burden of presentation, I wanted to chose a topic which covers both parts of the two lectures. So I selected this 'Classical' tests of 'General Relativity'. Literally it covers not only 'Classical Mechanics' but also 'General Relativity'