Maxwell's equation in geometric algebra
Peeter's math and physics play
In this video, we perform a superposition of Maxwell's equations to find an equivalent single equation multivector geometric algebra form. Once assembled, we will demonstrate, using grade selection, that all of the original Maxwell's equations can be extracted from our new multivector Maxwell's equation (i.e. that no information was lost performing this superposition.)
Prerequisites: geometric algebra basics (vector multiplication, grade selection, vector/bivector products, bivector products and dot products, ...), , and calculus (partial differentials, curl, divergence, ....)
If you liked this material you may be interested in my blog:
or my book (Geometric Algebra for Electrical Engineers), which is available for free in pdf form at:
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