Geometric Algebra

The theory of multivectors and the geometric product.

Curated by: All Angles (17 videos)

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Tracks in this Playlist

• Introducing geometric algebra
• Vector division | Geometric algebra episode 1
• The geometric product | Geometric algebra episode 2
• Multivectors in Cl(2) | Geometric algebra episode 3
• Complex numbers are multivectors | Geometric algebra episode 4
• The polar form of the geometric product | Geometric algebra episode 5
• The wedge product | Geometric algebra episode 6
• Linear algebra using the wedge product | Geometric algebra episode 7
• Hodge duality and orthogonal complements | Geometric algebra episode 8
• The wedge product is better than the cross product | Geometric algebra episode 9
• The quaternions | Geometric algebra episode 10
• Projections | Geometric algebra episode 11
• Reflections | Geometric algebra episode 12
• Rotations | Geometric algebra episode 13
• Versors, rotors, and spinors | Geometric algebra episode 14
• Beyond simple geometric algebra | Geometric algebra episode 15
• Classical and quantum physics | Geometric algebra episode 16