# Geometric Algebra

```@inproceedings{Chisolm2012GeometricA,
title={Geometric Algebra},
author={E. Chisolm},
year={2012}
}```
• E. Chisolm
• Published 27 May 2012
• Physics, Mathematics
This is an introduction to geometric algebra, an alternative to traditional vector algebra that expands on it in two ways: 1. In addition to scalars and vectors, it defines new objects representing subspaces of any dimension. 2. It defines a product that’s strongly motivated by geometry and can be taken between any two objects. For example, the product of two vectors taken in a certain way represents their common plane. This system was invented by William Clifford and is more commonly known as… Expand
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#### References

SHOWING 1-5 OF 5 REFERENCES
Geometric algebra for computer science - an object-oriented approach to geometry
• Computer Science, Mathematics
• The Morgan Kaufmann series in computer graphics
• 2007
An introduction to Geometric Algebra that will give a strong grasp of its relationship to linear algebra and its significance for 3D programming of geometry in graphics, vision, and robotics is found. Expand
Geometric Algebra for Physicists
• Mathematics
• 2003
Geometric algebra is a powerful mathematical language with applications across a range of subjects in physics and engineering. This book is a complete guide to the current state of the subject withExpand
Linear and Geometric Algebra
Linear algebra is part of the standard undergraduate mathematics curriculum because it is of central importance in pure and applied mathematics. It was not always so. The wide acceptance of vectorExpand
New Foundations for Classical Mechanics
1: Origins of Geometric Algebra.- 1-1. Geometry as Physics.- 1-2. Number and Magnitude.- 1-3. Directed Numbers.- 1-4. The Inner Product.- 1-5. The Outer Product.- 1-6. Synthesis and Simplification.-Expand
An elementary construction of the geometric algebra
We give a simple, elementary, direct, and motivated construction of the geometric algebra overRn.