Geometric Algebra Thread

http://www.amazon.com/Geometric-Algebra-Physicists-Chris-Doran/dp/0521715954

Guy I knew in undergrad went on to do that stuff. Care to explain more about it, for instance what is the story behind the pic in OP?

>>7685135
Ok, looking for the straight poop on this. Is it really a new thing, or have they just taken existing things and renamed them?

File: 2000px-GA_basis_of_3d_multivector.svg.png (245KB, 2000x1974px) Image search: [Google] [Yandex] [Bing]

245KB, 2000x1974px

>>7685156
I've only worked with it for the graphical uses as an alternative to Linear algebra

What are the applications for geometric algebra?

>>7685234
It allows you to act like a special snowflake on internet forums.

>>7685242
Well, then. Sign me the fuck up.

>>7685234
https://en.wikipedia.org/wiki/Conformal_geometric_algebra

>>7685245
Thanks

>>7685234
It's just the categorical dual of algebraic geometry.

>>7685316
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I once tried to learn that shit but it was over my head.
Should I first learn calculus, linalg and abstract alg?

>>7685482
Calculus, then linear algebra

>>7685482
depends on the application