Title: Vector Field Computations in Clifford's Geometric Algebra
Abstract: Exactly 125 years ago G. Peano introduced the modern concept of vectors in his 1888 book Geometric Calculus - According to the Ausdehnungslehre (Theory of Extension) of H. Grassmann. Unknown to Peano, the young British mathematician W. K. Clifford (1846-1879) in his 1878 work Applications of Grassmann's Extensive Algebra had already 10 years earlier perfected Grassmann's algebra to the modern concept of geometric algebras, including the measurement of lengths (areas and volumes) and angles (between arbitrary subspaces). This leads currently to new ideal methods for vector field computations in geometric algebra, of which several recent exemplary results will be introduced.
Publication Year: 2013
Publication Date: 2013-09-01
Language: en
Type: preprint
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