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arXiv · 2101.00976

Nested Coordinate Systems in Geometric Algebra

Garret Sobczyk
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Abstract

A nested coordinate system is a reassigning of independent variables to take advantage of geometric or symmetry properties of a particular application. Polar, cylindrical and spherical coordinate systems are primary examples of such a regrouping that have proved their importance in the separation of variables method for solving partial differential equations. Geometric algebra offers powerful complimentary algebraic tools that are unavailable in other treatments.

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Garret Sobczyk. 2020-12-30. Nested Coordinate Systems in Geometric Algebra. https://arxiv.org/abs/2101.00976

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