Geometric Algebra in 2D - Fundamentals and Another Look at Complex Numbers

Описание к видео Geometric Algebra in 2D - Fundamentals and Another Look at Complex Numbers

In this video, I introduce some of the concepts of geometric (Clifford) algebra, focusing on two-dimensional space (R^2). We'll talk about the wedge (exterior) product, review the dot product, and introduce the geometric product. We'll see that a new mathematical object, the bivector, arises from considering the wedge product. Furthermore, we're going to see that this bivector behaves like an imaginary unit in that it squares to -1. Since it has this property, it naturally relates to vector rotation in 2D, like the complex numbers.

Recommended video on Clifford algebra:
   • Clifford Algebra  

...and other video series covering Geometric Algebra (Nick Okamoto):    • From Vectors to Multivectors (Part 1 ...  

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