# An elementary construction of the geometric algebra

@article{Macdonald2002AnEC, title={An elementary construction of the geometric algebra}, author={Alan Macdonald}, journal={Advances in Applied Clifford Algebras}, year={2002}, volume={12}, pages={1-6} }

We give a simple, elementary, direct, and motivated construction of the geometric algebra overRn.

## 18 Citations

A Minimalist Construction of the Geometric Algebra

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The geometric algebra is constructed from minimal raw materials.

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This document is one of a series of mathematical case studies in ProofPower-HOL. It gives a construction of the Geometric Algebra GA.

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Geometric Algebra and its Application to Computer Graphics

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This half day tutorial will emphasize that Geometric Algebra is a unified language for a lot of mathematical systems used in Computer Graphics, and can be used in an easy and geometrically intuitive way in Computer graphics.

Geometry of complex data

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This tutorial provides a basic introduction to geometric algebra and presents formulations of known electrical engineering and signal processing concepts to illustrate some inherent advantages of geometric algebra for formulating and solving problems involving vectors.

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Other Constructions Emil Artin has given an elegant and simple elementary construction of GA(n) [1, p. 186]. Our construction is better motivated and, I think, somewhat simpler

- Other Constructions Emil Artin has given an elegant and simple elementary construction of GA(n) [1, p. 186]. Our construction is better motivated and, I think, somewhat simpler