An introduction to the Grassmann-Cayley algebra endowed with a complement operation : Boolean parallels and example applications in vector calculus, projective geometry and measures

Description

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.

Links & Downloads

1. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-349009

Tags

Exterior Algebra

Interior Algebra

Regressive Algebra

Hodge Star operator

Star Algebra

Grassmann-Cayley Algebra

Mathematics

Matematik

Additional Fields

Identifer	oai:union.ndltd.org:UPSALLA1/oai:DiVA.org:kth-349009
Date	January 2024
Creators	Rönnlund, Anton
Publisher	KTH, Skolan för teknikvetenskap (SCI)
Source Sets	DiVA Archive at Upsalla University
Language	English
Detected Language	English
Type	Student thesis, info:eu-repo/semantics/bachelorThesis, text
Format	application/pdf
Rights	info:eu-repo/semantics/openAccess
Relation	TRITA-SCI-GRU ; 2024:135