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Grassmann, geometry and mechanics
pp. 287-302
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.
Publication details
Published in:
Russ Steve, Liesen Jörg (2011) From Past to Future: Graßmann's Work in Context: Graßmann Bicentennial Conference, September 2009. Dordrecht, Springer.
Pages: 287-302
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DOI: 10.1007/978-3-0346-0405-5_25
Full citation:
Browne John (2011) „Grassmann, geometry and mechanics“, In: S. Russ & J. Liesen (eds.), From Past to Future: Graßmann's Work in Context, Dordrecht, Springer, 287–302.