Undergrad Is Geometric Algebra inconsistent/circular?

[mnb96]

I'm actually planning to do an insight series about it too!

Wonderful idea! I am really looking forward to see it published soon.

 

[robphy]

Although I've postponed learning geometric algebra (GA) [putting my efforts into differential forms instead],
I have found myself having to learn to it in order to understand/decode some calculations.

In writing an Insight,
it might be useful to include translations between statements and calculations in GA
and statements and calculations in (say) more-standard tensor-calculus and/or vector-calculus,
accompanied by some diagrams.
To me, the notation found in various sources in quite dense, rather abstract for a beginner, and not quite standardized,
forcing the reader to juggle the various objects and operations.

My $0.03.

 

[mnb96]

I guess the original idea for the insight was not to focus only on the details of GA, but more generally on "Non-mainstream but useful math to know". As micromass said:

There are many other things in mathematics that I feel should be basic knowledge for undergrads, but that is somehow something that is only known to a select few.