Talk:Hermann Grassmann

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Material here on Grassmann's work, in modern notation, should move out to the tensor product and exterior power pages.

Charles Matthews 17:47, 11 Nov 2003 (UTC)

Currently the text reads: "The theory of extension has been applied in the study of differential forms" which isn't quite accurate. Differential forms intrinsically follow exterior algebra and doubtlessly were introduced in this way having the theory of extension in mind. "The theory of extension led to the development of differential forms" is more accurate. The precise history of the development of differential forms and its relation to Grassmann's work is somewhat muddled, but leads via Poincare and Goursat to Cartan and Kähler who essentially gave differential forms its current definition. The reason that exterior algebra appears is simply that this is the correct way to describe oriented space elements algebraically, something already noted in Grassmann's work. 87.162.97.226 09:30, 5 September 2007 (UTC)