Geometric Algebra

Geometric Algebra Primer Jaap Suter March 12, 2003. Abstract Adopted with great enthusiasm in physics, Geometric Algebra slowly emerges in computational science. Its elegance and ease of use is unparalleled. By introducing two simple concepts, the multivector and its Geometric product, we obtain an Algebra that allows subspace arithmetic . It turns out that being able to calculate' with subspaces is extremely powerful, and solves many of the hacks required by traditional methods. This paper provides an introduction to Geometric Algebra . The intention is to give the reader an understanding of the basic concepts, so advanced material becomes more accessible.

arithmetic with them. Using geometric algebra we can finally represent planes as true 2-dimensional subspaces, define oriented subspaces, and reveal the true identity of quaternions. We can add and subtract subspaces of different dimen-sions, and even multiply and divide them, resulting in powerful expressions that

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  Geometric, Arithmetic

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