Clifford Algebra in Flat n-Space



The word “geometry”is derived from a greek word meaning “to measure land.”The starting point for differential geometry is the definition of an infinitesimal distance. Generally, such an infinitesimal distance ds is defined in terms of a coordinate system. For the Cartesian coordinate system applied to an n-dimensional Euclidean space, we have
$${(\mathrm{d}s)}^{2} ={ \sum \nolimits }_{j=1}^{n}{(\mathrm{d}{x}^{j})}^{2}.$$


Clifford Algebra Geometric Algebra Islamic World Retrograde Motion Clifford Product 


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© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.East OrangeUSA

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