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Grassmann, geometry and mechanics

John Browne

pp. 287-302

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

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

Full citation:

Browne, J. (2011)., Grassmann, geometry and mechanics, in S. Russ & J. Liesen (eds.), From Past to Future: Graßmann's Work in Context, Dordrecht, Springer, pp. 287-302.

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