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dc.contributor.advisorMitrea, Mariuseng
dc.contributor.authorBrewster, Kevin, 1982-eng
dc.date.issued2008eng
dc.date.submitted2008 Springeng
dc.descriptionThe entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file.eng
dc.descriptionTitle from title screen of research.pdf file (viewed on August 25, 2008)eng
dc.descriptionVita.eng
dc.descriptionIncludes bibliographical references.eng
dc.descriptionThesis (M.S.) University of Missouri-Columbia 2008.eng
dc.descriptionDissertations, Academic -- University of Missouri--Columbia -- Mathematics.eng
dc.description.abstractThe present thesis addresses a number of basic problems in relation to integration over surfaces in the Euclidean space, such as how the surface measure and unit normal changes under a smooth diffeomorphism how the integration process is affected by a surface to surface change of variables. We provide precise answers to these and other related issues, and discuss a number of applications, such as the invariance of Lebesgue and Sobolev spaces on surfaces..eng
dc.identifier.merlinb64587526eng
dc.identifier.oclc244443164eng
dc.identifier.urihttps://hdl.handle.net/10355/5759
dc.identifier.urihttps://doi.org/10.32469/10355/5759eng
dc.languageEnglisheng
dc.publisherUniversity of Missouri--Columbiaeng
dc.relation.ispartof2008 Freely available theses (MU)eng
dc.relation.ispartofcommunityUniversity of Missouri-Columbia. Graduate School. Theses and Dissertations. Theses. 2008 Theseseng
dc.subject.lcshSurfaceseng
dc.subject.lcshDiffeomorphismseng
dc.subject.lcshLebesgue integraleng
dc.subject.lcshSobolev spaceseng
dc.titleSurface to surface changes of variables and applicationseng
dc.typeThesiseng
thesis.degree.disciplineMathematics (MU)eng
thesis.degree.grantorUniversity of Missouri--Columbiaeng
thesis.degree.levelMasterseng
thesis.degree.nameM.S.eng


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