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    • University of Missouri-Columbia
    • Graduate School - MU Theses and Dissertations (MU)
    • Theses and Dissertations (MU)
    • Theses (MU)
    • 2008 Theses (MU)
    • 2008 MU theses - Freely available online
    • View Item
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    Surface to surface changes of variables and applications

    Brewster, Kevin, 1982-
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    [PDF] research.pdf (473.6Kb)
    Date
    2008
    Format
    Thesis
    Metadata
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    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..
    URI
    https://doi.org/10.32469/10355/5759
    https://hdl.handle.net/10355/5759
    Degree
    M.S.
    Thesis Department
    Mathematics (MU)
    Rights
    OpenAccess.
    This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License.
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    • 2008 MU theses - Freely available online
    • Mathematics electronic theses and dissertations (MU)

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