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Stokes' Theorem: Integration of Differential Forms Over Chains

The aim of this work is to introduce differential forms on Euclidean space. The theory of differential forms provides a way of abstracting integration by formalising differentials over which an integral can be taken. The work builds towards Stokes’ Theorem for which a proof is given. Finally, using Stokes’ Theorem, three famous integral theorems from vector analysis are derived.

Identiferoai:union.ndltd.org:UPSALLA1/oai:DiVA.org:kth-315360
Date January 2022
CreatorsWållberg, Joel
PublisherKTH, Fysik
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 ; 2022:112

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