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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 measures

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.

Identiferoai:union.ndltd.org:UPSALLA1/oai:DiVA.org:kth-349009
Date January 2024
CreatorsRönnlund, Anton
PublisherKTH, Skolan för teknikvetenskap (SCI)
Source SetsDiVA Archive at Upsalla University
LanguageEnglish
Detected LanguageEnglish
TypeStudent thesis, info:eu-repo/semantics/bachelorThesis, text
Formatapplication/pdf
Rightsinfo:eu-repo/semantics/openAccess
RelationTRITA-SCI-GRU ; 2024:135

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