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Geometric Algebra thread

Anonymous Thu 21 May 03:38:14 2020 No.11695199 View Reply Original Report

Quoted By: >>11695231 >>11695364

Why don't they teach this alongside Linear? Complex numbers, quaternions, cross products, determinants, etc are all special cases. It makes vector calculus way easier too.

Anonymous

Anonymous Thu 21 May 2020 03:42:27 No.11695211 Report

Quoted By: >>11695411

i've been wanting to get into wedge products et al. i've looked through the wiki a few times, but need a textbook. any suggestions?

Anonymous

Anonymous Thu 21 May 2020 03:48:16 No.11695231 Report

Quoted By:

>>11695199
It should definitely be a prereq for physics, since it makes electromagnetism so much easier.
The only reasoning for not teaching it is that it hasn't historically been taught.

Anonymous

Anonymous Thu 21 May 2020 04:28:02 No.11695364 Report

Quoted By:

>>11695199
idk looks like linear algebra

Anonymous

Anonymous Thu 21 May 2020 04:42:06 No.11695411 Report

Quoted By: >>11695559

>>11695211
>get into wedge products
that's like saying you want to get into multiplication. do you mean you want to understand the field of geometric algebra?
if you're just interested in understanding how the wedge product works then a google search will do, or I can try to explain it.

Anonymous

Anonymous Thu 21 May 2020 05:51:50 No.11695559 Report

Quoted By: >>11696248

>>11695411
sorry, i couldn't remember what the actual name of the topic was. i want to get into exterior algebra, it seems to tie a lot of concepts together. if that's just a subset of geometric algebra, then i'd rather learn that. i'm sure what i said sounded like "i've been wanting to get into inner products"

Anonymous

Anonymous Thu 21 May 2020 11:13:42 No.11696248 Report

Quoted By:

>>11695559
wedge products are just tensors, not necessarily geometric algebra.

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