Grassmann, geometry and mechanics

John Browne ()

A chapter in From Past to Future: Graßmann's Work in Context, 2011, pp 287-302 from Springer

Abstract: Abstract Many of the capabilities of Grassmann’s algebra are still not well-enough known in the scientific community. This paper discusses just two of them: the capability to distin-guish algebraically between points and vectors in space, and the capability to compute intersections of geometric entities with a simple product operation. The first may be little known due to the mainstreaming of Gibbs’ three-dimensional vector algebra; the second due to Grassmann’s choice of notation for his product operations. We explore two applications.

Keywords: Projective Geometry; Exterior Product; Choose Point; Geometric Entity; Weighted Point (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0346-0405-5_25

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DOI: 10.1007/978-3-0346-0405-5_25

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