Browsing Doctoral Degrees (Mathematics and Computer Science Education) by Title
Now showing items 221 of 35

An algebraic study of residuated ordered monoids and logics without exchange and contraction.
(1998)Please refer to the thesis for the abstract. 
Amplitudeshape method for the numerical solution of ordinary differential equations.
(1997)In this work, we present an amplitudeshape method for solving evolution problems described by partial differential equations. The method is capable of recognizing the special structure of many evolution problems. ... 
Anisotropic stars in general relativity.
(2004)In this thesis we seek new solutions to the anisotropic Einstein field equations which are important in the study of highly dense stellar structures. We first adopt the approach used by Maharaj & Maartens (1989) to obtain ... 
Aspects of distance and domination in graphs.
(1995)The first half of this thesis deals with an aspect of domination; more specifically, we investigate the vertex integrity of ndistancedomination in a graph, i.e., the extent to which ndistancedomination ... 
Aspects of functional variations of domination in graphs.
(2003)Let G = (V, E) be a graph. For any real valued function f : V >R and SCV, let f (s) = z ues f(u). The weight of f is defined as f(V). A signed ksubdominating function (signed kSF) of G is defined as a function f : V > ... 
Coagulationfragmentation dynamics in size and position structured population models.
(2008)One of the most interesting features of fragmentation models is a possibility to breach 
Conformally invariant relativistic solutions.
(1993)The study of exact solutions to the Einstein and EinsteinMaxwell field equations, by imposing a symmetry requirement on the manifold, has been the subject of much recent research. In this thesis we consider specifically ... 
Conservation laws models in networks and multiscale flow optimization.
(2011)The flow of fluids in a network is of practical importance in gas, oil and water transport for industrial and domestic use. When the flow dynamics are understood, one may be interested in the control of the flow formulated ... 
Constructions and justifications of a generalization of Viviani's theorem.
(2013)This qualitative study actively engaged a group of eight preservice mathematics teachers (PMTs) in an evolutionary process of generalizing and justifying. It was conducted in a developmental context and underpinned by a ... 
Embedding theorems and finiteness properties for residuated structures and substructural logics
(2008)Paper 1. This paper establishes several algebraic embedding theorems, each of which asserts that a certain kind of residuated structure can be embedded into a richer one. In almost all cases, the original structure has a ... 
Exact models for radiating relativistic stars.
(2007)In this thesis, we seek exact solutions for the interior of a radiating relativistic star undergoing gravitational collapse. The spherically symmetric interior spacetime, when matched with the exterior radiating Vaidya ... 
Exploring master teachers' use of visuals as tools in mathematical classrooms.
(2011)The teaching and learning of mathematics has presented a great challenge for mathematics educationalists over many decades. Researchers have been searching for new strategies and techniques for improving the understanding ... 
FischerClifford matrices of the generalized symmetric group and some associated groups.
(2005)With the classification of finite simple groups having been completed in 1981, recent work in group theory has involved the study of the structures of simple groups. The character tables of maximal subgroups of simple ... 
FischerClifford theory for split and nonsplit group extensions.
(2001)The character table of a finite group provides considerable amount of information about the group, and hence is of great importance in Mathematics as well as in Physical Sciences. Most of the maximal subgroups of the finite ... 
Graph and digraph embedding problems.
(1996)This thesis is a study of the symmetry of graphs and digraphs by considering certain homogeneous embedding requirements. Chapter 1 is an introduction to the chapters that follow. In Chapter 2 we present a brief survey ... 
Linear codes obtained from 2modular representations of some finite simple groups.
(2012)Let F be a finite field of q elements and G be a primitive group on a finite set . Then there is a Gaction on , namely a map G ! , (g; !) 7! !g = g!; satisfying !gg0 = (gg0)! = g(g0!) for all g; g0 2 G and ... 
Mathematics for future engineers : a study of teaching and learning mathematics in an engineering curriculum.
(20160119)This is a study of teaching and learning in the first mathematics module for engineering students at a South African university. The theoretical framing of the study is derived from multiple analytical tools: Bernstein’s ... 
A modelling approach for determining the freshwater requirements of estuarine macrophytes.
(1998)Increased abstraction of water in the catchment results in a reduced or altered pattern of river flow and this holds serious consequences for the downstream estuarine ecosystem. In South Africa this is a serious concern ... 
New analytical stellar models in general relativity.
(2009)We present new exact solutions to the Einstein and EinsteinMaxwell field equations that model the interior of neutral, charged and radiating stars. Several new classes of solutions in static spherically symmetric interior ... 
A new approach to illposed evolution equations : Cregularized and B bounded semigroups.
(2001)The theory of semigroups of linear operators forms an integral part of Functional Analysis with substantial applications to many fields of the natural sciences. In this study we are concerned with the application to ...