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An introduction to the Grassmann-Cayley algebra endowed with a complement operation : Boolean parallels and example applications in vector calculus, projective geometry and measuresRönnlund, Anton January 2024 (has links)
This bachelor thesis is an introduction to the exterior algebra, interior algebra, regressive algebra, and the (Hodge) star algebra. Together these algebras make up the Grassmann-Cayley algebra endowed with a complement operation giving arise to geometric interpretations with Boolean parallels. Examples from vector calculus, projective geometry and measures are shown.
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