Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 24 for “"Pure mathematics"”.
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An Investigation into assessment reform in South Africa with special reference to common task assessment
… examine the attitude and perception of grade 9 mathematics teachers to CTA (common task assessment) 2009 as well as their understanding of the role of CTA. Six secondary schools in Pietermaritzburg area in the province of KwaZulu-Natal were selected as cases for an in-depth qualitative study. …
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The works of Ford Maddox Ford with particular reference to the novels
… Soldier, probably the finest example of literary pure mathematics in English, is, as Ford considered it, his best achievement; but it attempts to trace in earlier novels experiments without which The Good Soldier would have been impossible.
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Power Series Solutions to Ordinary Differential Equations
… are introduced as well. For the sake of pure mathematics, and particularly in the applications involving these differential equations, it is useful to find a radius of convergence for a power series solution. For these reasons, several methods for finding a radius of convergence are …
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Geometric, Algebraic, and Topological Connections in the Historical Sphere of the Platonic Solids
… made prominent appearances in the history of pure mathematics: in Euclid's <italic>Elements</italic>, which contains early geometric constructions of the solids and demonstrates the special manner in which each is comprehended by a sphere; in William Hamilton's geometric interpretation of the …
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Thermodynamical Formalism
… formalism is a relatively recent area of pure mathematics owing a lot to some classical notions of thermodynamics. On this thesis we state and prove some of the main results in the area of thermodynamical formalism. The first chapter is an introduction to ergodic theory. Some of the main …
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A unified course in advanced high school mathematics
… build a unified course in advanced high school mathematics beyond the first two years of elementary study. It is a course intended for the academic student who is preparing for the fields of engineering, the sciences, or pure mathematics. It is a course aimed at a unification and greater …
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Music of the triangles: How students come to understand trigonometric identities and transformations
<p>Trigonometry is an essential part of mathematics education (NCTM, 2000; NGA, 2010). Trigonometry is prevalent in studies of pure mathematics as well as physical applications. Trigonometric identities and transformations are particularly important. However, students and even teachers have …
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Arithmetical, geometrical, and categorical forays into particle physics
… different forays into particle physics using pure mathematics. Our first foray studies anomaly free gauge algebras. Using geometric methods, we reproduce a solution given to the anomaly cancellation conditions associated with a pure u(1)-gauge theory in Costa et al. [Phys. Rev. Lett.123 (2019) …
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The use of real-world contextual framing in UK university entrance level mathematics examinations
… research into real-world contexts in elementary mathematics, little work has been done at a more advanced, post-16 level. This thesis explores the origin, function and effect of real-world contextual framing (RWCF)in GCEA/AS mathematics examinations. The study develops an evaluation framework …
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Hyperspatial Interlace - Grasping Four-dimensional Geometry through Crafted Models
… effect not only on philosophy, mysticism, mathematics, and theoretical physics, but also on fiction and visual arts. Because the mathematically described four-dimensional structures are difficult to grasp visually, it is instructive to observe spaces of lower and higher dimensionality in …
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Mathematical and Computational modelling of soft and active matter
The collective motion of organisms such as flights of birds, swimming of school of fish, migration of bacteria and movement of herds across long distances is a fascinating phenomenon that has intrigued man for centuries. Long and details observations have resulted in numerous abstract hypothesis …
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MAGNETISATION REVERSAL STUDIES OF PARTICULATE RECORDING MEDIA.
Both an experimental investigation of the interaction effects within commercial particulate recording media and a numerical investigation of the reversal mechanism of particles within the media have been made. The particle systems investigated comprised three audio y-Fe203 tapes, three audio Cr02 …
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Ultraviolet and EUV studies of selected structures in the solar corona
New UV and EUV observations of off-limb and upper solar corona made by the UltraViolet Coronagraph Spectrometer (UVCS) and the Coronal Diagnostic Spectrometer (CDS) on SOHO (Solar and Heliospheric Observatory) are presented in this thesis. These data were used to establish the physical properties, …
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Summing series using residues
This thesis deals with the problem of representation of series in closed form, mainly by the use of residue theory.
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Frobenius Brauer Categories
… we provide the background information on super-mathematics and Frobenius superalgebras needed to understand the new results.
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The role of student presentations in the teaching of A-Level mathematics
… of students' own solutions to A-level mathematics problems. The presentations are given to the remainder of their own mathematics group with the intention of encouraging pupil-pupil discussion. The study is a small scale action research project carried out in an independent boys school …
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Morita cohomology
This work constructs and compares different kinds of categorified cohomology of a locally contractible topological space X. Fix a commutative ring k of characteristic 0 and also denote by k the differential graded category with a single object and endomorphisms k. In the Morita model structure k is …
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Evaluation of Information Systems Development in the NHS Using NIMSAD Framework
The principal focus of the research effort was the management of information systems development to support the increased information needs arising from the radical health reforms of 1989. This was undertaken in collaboration with a purchaser and a provider within the health service. An action …
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Geometric and Algebraic Graphs and their Applications
… Middle Two Levels Conjecture." This problem in pure graph theory involves finding Hamiltonian cycles in a power set on n elements. We take advantage of the fact that it is an algebraic graph to produce a method of finding large cycles in the graph. Finally we investigate a method of finding …
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Results in Ramsey theory and extremal graph theory
In this thesis, we study several combinatorial problems in which we aim to find upper or lower bounds on a certain quantity relating to graphs. The first problem is in Ramsey theory, while the others are in extremal graph theory. In Chapter 2, which is joint work with Vojtěch Dvořák, we consider …
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