Getting started with Clifford Algebra

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Discussion Overview

The discussion revolves around the prerequisites and resources for getting started with Clifford Algebra, touching on the necessary mathematical background and potential approaches to learning the subject.

Discussion Character

  • Exploratory, Conceptual clarification, Homework-related

Main Points Raised

  • One participant suggests that a background in abstract (commutative) algebra, quotients, and multilinear algebra is essential for understanding Clifford Algebra.
  • Another participant proposes a top-down approach to learning, indicating that one might reverse-engineer their knowledge.
  • A humorous interjection includes a light-hearted comment about a book cover, which does not contribute to the academic discussion.
  • One participant recommends Penrose's "Road to Reality" as a good introductory resource for Clifford Algebra.

Areas of Agreement / Disagreement

Participants express varying opinions on the necessary background for studying Clifford Algebra, with no consensus on a single approach or resource.

Contextual Notes

Some assumptions about prior knowledge in mathematics are present, but specific definitions and the depth of understanding required are not fully articulated.

Winzer
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So what background should I have to get started in Clifford Algebra?
 
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It depends on your perpsective, but you'll definitely need some abstract
(commutative) algebra ; quotients (rings, algebras, etc.), and some
multilinear algebra. Maybe you can reverse-engineer your knowledge, tho. (i.e., go top-down , instead of bottom-up). Why not take a look at it :

http://en.wikipedia.org/wiki/Clifford_Algebra

and see?. Maybe you can start with some concrete questions.
 
http://www2.scholastic.com/content/media/products/43/0439332443_xlg.jpg

I think you'll be able to handle it

(Ok, sorry, but the joke had to be made!)
 
Last edited by a moderator:
Thanks, I will combine it with My Hausdorff-on-Golf Links.!
 
If you just want a quick and dirty introduction to Clifford algebra, I really liked Penrose's treatment in "Road to Reality."
 

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