| dc.contributor.advisor | Mitrea, Marius | eng |
| dc.contributor.author | Brewster, Kevin, 1982- | eng |
| dc.date.issued | 2008 | eng |
| dc.date.submitted | 2008 Spring | eng |
| dc.description | The 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.description | Title from title screen of research.pdf file (viewed on August 25, 2008) | eng |
| dc.description | Vita. | eng |
| dc.description | Thesis (M.S.) University of Missouri-Columbia 2008. | eng |
| dc.description.abstract | The 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.description.bibref | Includes bibliographical references. | eng |
| dc.identifier.merlin | b64587526 | eng |
| dc.identifier.oclc | 244443164 | eng |
| dc.identifier.uri | https://doi.org/10.32469/10355/5759 | eng |
| dc.identifier.uri | https://hdl.handle.net/10355/5759 | |
| dc.language | English | eng |
| dc.publisher | University of Missouri--Columbia | eng |
| dc.relation.ispartofcommunity | University of Missouri-Columbia. Graduate School. Theses and Dissertations. Theses. 2008 Theses | eng |
| dc.rights | OpenAccess. | eng |
| dc.rights.license | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License. | |
| dc.subject.lcsh | Surfaces | eng |
| dc.subject.lcsh | Diffeomorphisms | eng |
| dc.subject.lcsh | Lebesgue integral | eng |
| dc.subject.lcsh | Sobolev spaces | eng |
| dc.title | Surface to surface changes of variables and applications | eng |
| dc.type | Thesis | eng |
| thesis.degree.discipline | Mathematics (MU) | eng |
| thesis.degree.grantor | University of Missouri--Columbia | eng |
| thesis.degree.level | Masters | eng |
| thesis.degree.name | M.S. | eng |
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