Browsing 2008 Theses (MU) by Thesis Department "Mathematics (MU)"
Now showing items 13 of 3

An extension of Green's theorem with application
(University of MissouriColumbia, 2008)The main result of this thesis is a generalization of Green's Theorem. Green' s Theorem states: If Omega is an open subset of R[logical and]2 containing a compact subset K with smooth boundary. Let P and Q be two real ... 
The implicit function theorem for Lipschitz functions and applications
(University of MissouriColumbia, 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
(University of MissouriColumbia, 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 ...