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Grassmann, geometry and mechanics

In: From Past to Future: Graßmann's Work in Context

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  • John Browne

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.

Suggested Citation

  • John Browne, 2011. "Grassmann, geometry and mechanics," Springer Books, in: Hans-Joachim Petsche & Albert C. Lewis & Jörg Liesen & Steve Russ (ed.), From Past to Future: Graßmann's Work in Context, pages 287-302, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0346-0405-5_25
    DOI: 10.1007/978-3-0346-0405-5_25
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