• The implicit function theorem for Lipschitz functions and applications 

    Wuertz, Michael (University of Missouri--Columbia, 2008)
    The subject matter of this thesis is the classical Implicit Function Theorem and its generalizations. Dictated by practical applications, it is of interest to relax the hypothesis of the standard Implicit Function Theorem ...
  • Surface to surface changes of variables and applications 

    Brewster, Kevin, 1982- (University of Missouri--Columbia, 2008)
    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 ...