Clifford Algebra in Flat n-Space

John Snygg ()

Chapter Chapter 4 in A New Approach to Differential Geometry using Clifford's Geometric Algebra, 2012, pp 47-120 from Springer

Abstract: Abstract 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 4.1 $${(\mathrm{d}s)}^{2} ={ \sum \nolimits }_{j=1}^{n}{(\mathrm{d}{x}^{j})}^{2}.$$

Keywords: Clifford Algebra; Geometric Algebra; Islamic World; Retrograde Motion; Clifford Product (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/978-0-8176-8283-5_4

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