Maxwell's equation in geometric algebra
Автор: Peeter Joot's math and physics play
Загружено: 2023-10-30
Просмотров: 13151
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: familiarity with Maxwell's equations, geometric algebra basics (vector multiplication, grade selection, 3D pseudoscalar, vector/bivector products, wedge and cross product duality, bivector products and dot products, ...), , and calculus (partial differentials, gradient, curl, divergence)
If you liked this video, you may be interested in my book, Geometric Algebra for Electrical Engineers, available in hardcover or softcover on amazon:
https://amzn.to/49hplMm
An electronic (PDF) version of the book is available on my blog here:
https://peeterjoot.com/gaee
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