Browsing Theses (MU) by Thesis Department "Mathematics (MU)"
Now showing items 120 of 41

A collection of graphs to accompany certain topics in the study of function theory of a real variable
(University of Missouri, 1913)In Part I of this paper, I have dealt with only wellknown properties of functions  treating them from the graphic standpoint entirely and referring the reader, to the best authorities I could find, for the Algebraic ... 
Conditionally convergent vector series
(University of Missouri, 1914)In this paper we propose to study the behavior of series of complex numbers, or of vectors in two dimensions; and to generalize this study to the case of vectors in n dimensions. The particular properties to be studied are ... 
Conformal mappings and the SchwarzChristoffel transformation
(University of MissouriColumbia, 2017)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] Let ? be an open and connected set in the complex plane. A mapping f : ? ? C is said to be conformal at a point z0 if it preserves angles and orientation ... 
Convergence of an infinite series
(University of Missouri, 1902)This thesis gives some of the more important tests for the convergence of an infinite series; also the conditions that must be fulfilled in order that certain operations and transformations may be applied to an infinite series. 
Convergence of infinite series
(University of Missouri, 1900)We shall define an infinite series as a succession of series formed after sum definite law. Most generally the series are actual numbers or are at least regarded as constraints, and we are concerned with their sum. There ... 
Counting theorems and inverse function theorems for analytic functions
(University of MissouriColumbia, 2017)In this master's thesis, we discuss the counting and Rouche's theorems. These theorems are used to find the roots of complex analytic functions.Also, we investigate the existence of the inverse function of an analytic ... 
Definition of improper groups by means of axioms : a dissertation
(University of Missouri, 1906)Essentially, a group is an associative field, in which the inverse combinations are uniquely possible. This is a concise statement of the classical definition of a group. The conditions which it connotes will be used here ... 
Elliptic curves and their applications in cryptography
(University of MissouriColumbia, 2009)In 1985, Koblitz and Miller proposed elliptic curves to be used for public key cryptosystems. This present thesis examines the role of elliptic curves on cryptography and basic problems involving implementation and security ... 
Erdős distance problem in the hyperbolic halfplane
(University of MissouriColumbia, 2009)The Erd̋os distance problem asks for the minimum number of distinct distances determined by large finite point sets in the plane. The aim of this work is to investigate how the classical techniques employed in the study ... 
Errors in graphical methods
(University of Missouri, 1914)The author suggests methods for determining errors in graphical computations and discusses errors in the graphical methods in the infinitesimal calculus. 
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 ... 
Foundations of geometry
(University of Missouri, 1901)Geometry has been called the science of indirect measurement, and as such is founded on certain definitions, postulates, and some assumptions or axioms which are said to be selfevident. It is a physical science idealized. ... 
Generalizations of theorems from the Theory of Functions
(University of Missouri, 1915)Text from introduction: "Practically all of the text books and lectures on the Theory of Functions of a Complex Variable treat only those functions which have a derivative in every point of some given region. This derivative ... 
Geometry of four dimensions
(University of Missouri, 1902)In this thesis a brief outline of Four Dimensional Geometry, as far as the classification of quadrics, is attempted. 
Groupoids and semigroupoids
(University of MissouriColumbia, 2013)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] The theory of semigroupoids and groupoids makes the transition between arbitrary sets and groups. The usefulness of developing theory stems from various ... 
Harmonic functions and the Dirichlet problem
(University of MissouriColumbia, 2017)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] Let ? be an open and connected subset of the complex plane. A real valued function u : ? ? R is said to be harmonic if it has continuous first and ... 
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 ... 
Incorporation of directionally dependent diffusion with polymer composite flow theory
(University of MissouriColumbia, 2006)The extensive industrial use of shortfiber reinforced polymer composites demands an accurate understanding of fiber orientation kinematics. There is a growing concern in recent literature with the popular Folgar and Tucker ... 
Integration by parts formulas for higher order operators and applications to boundary value problems
(University of MissouriColumbia, 2016)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] Green formulas for differential operators are important tools in the study of Partial Differential Equations. The first such formula, published in 1828, ... 
Minimum surfaces
(University of Missouri, 1904)In this dissertation I propose to give some of the theory and develop some of the important formulas upon which Minimum Surfaces are based. In order to proceed with the development of Minimum Surfaces, it will be necessary ...