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Yes, this is the correct answer. The Gibbs formulation of 3D vector analysis/calculus was certainly useful, but forgets most of the spatial structure. Using Cl
by mikhailfranco 3y ago
Yes, this is the correct answer.
The Gibbs formulation of 3D vector analysis/calculus was certainly useful, but forgets most of the spatial structure. Using Clifford Algebra (Geometric Algebra) fixes everything.
- ajkjk 3y agodaily chance to inject my opinion on GA: Almost all of the value in GA comes from the use of multivectors and the wedge product. It's very hard to find a justification for the "geometric product", and there's no real geometric interpretation of it. Therefore treating it as fundamental is a difficult-to-justify choice. "Exterior Algebra" on its own has everything you want without the objectionable parts.