The theory of multivectors and the geometric product.
Curated by: All Angles (17 videos)
#geometricalgebra #geometricproduct #complexnumbers #quaternions Welcome to the first video in a new series about geometric algebra. This is an incredibly rich and powerful framework for the manipulation of geometric objects through algebraic calculations. We provide a fast overview of the applications, advantages, and educational pitfalls. Many thanks to Steven De Keninck for answering some of my technical questions. His videos were a big inspiration for this series; you can find them on https://bivector.net/doc.html . You can support us on Patreon, where you can already watch all the Geometric Algebra videos and get access to exclusive content. Unfortunately, we won't be publishing any new videos after Geometric Algebra, at least not in the near future. Your support is still more than welcome of course: https://www.patreon.com/user?u=86649007 [AMD 1] https://www.faculty.luther.edu/~macdonal/GA&GC.pdf A great introduction to geometric algebra by Alan Macdonald. 0:00 Introduction 1:19 Parallel versus orthogonal 4:29 Applications of Geometric Algebra 6:04 Advantages of Geometric Algebra 8:16 Geometric algebra in education 10:50 Welcome to the marvelous world of Geometric Algebra This video is published under a CC Attribution license ( https://creativecommons.org/licenses/by/4.0/ )