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Geometric Algebra for Electrical Engineers: Multivector electromagnetism

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This book introduces the fundamentals of geometric algebra and calculus, and applies those tools to the study of electromagnetism.

Geometric algebra provides a structure that can represent oriented point, line, plane, and volume segments. Vectors, which can be thought of as a representation of oriented line segments, are generalized to multivectors. A full fledged, but non-commutative (i.e. order matters) multiplication operation will be defined for products of vectors. Namely, the square of...