Browsing Doctoral Degrees (Mathematics and Computer Science Education) by Title
Now showing items 7-26 of 34
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Coagulation-fragmentation 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 Einstein-Maxwell 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 pre-service 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 ... -
Fischer-Clifford 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 ... -
Fischer-Clifford theory for split and non-split 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 2-modular 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 G-action 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.
(2016-01-19)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 Einstein-Maxwell 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 ill-posed evolution equations : C-regularized 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 ... -
Normality-like properties, paraconvexity and selections.
(2012)In 1956, E. Michael proved his famous convex-valued selection theorems for l.s.c. mappings de ned on spaces with higher separation axioms (paracompact, collectionwise normal, normal and countably paracompact, normal, and ... -
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On purity relative to an hereditary torsion theory.
(1992)The thesis is mainly concerned with properties of the concept "σ-purity" introduced by J. Lambek in "Torsion Theories, Additive Semantics and Rings of Quotients", (Springer-Verlag, 1971). In particular we are interested ... -
On the logics of algebra.
(2008)We present and consider a number of logics that arise naturally from universal algebraic considerations, but which are ‘inherently unalgebraizable’ in the sense of [BP89a], essentially because they have no theo- rems. Of ... -
On the status of the geodesic law in general relativity.
(1998)The geodesic law for test particles is one of the fundamental principles of general relativity and is extensively used. It is thought to be a consequence of the field laws but no rigorous proof exists. This thesis is ...
