Mathematics & Statistics Theses
The School has research strengths across Pure Mathematics, Applied Mathematics and Statistics. All the Research groups are internationally-leading, and attract researchers, postgraduate students and collaborators from across the world. The School is also well-known for its research in the History of Mathematics.
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(University of St Andrews, 2006) - ThesisThis thesis studies finitely presented groups and the process known as coset enumeration, which finds the index of a finitely generated subgroup in a finitely presented group, provided this index is finite. The Todd-Coxeter ...
Generation and presentations of semigroup constructions : Bruck-Reilly extensions and P-semigroups (University of St Andrews, 2006) - ThesisIn this thesis we study problems regarding finite presentability of Bruck-Reilly extensions, finite generation of the underlying monoids, and finite generation of P-unitary inverse semigroups. The first main question we ...
Quasi-Newton methods for unconstrained function minimization and the solution of systems of nonlinear equations (University of St Andrews, 1974) - ThesisThis thesis is concerned with the unconstrained minimization of a function of n variables, and, to a lesser extent, with the numerical solution of systems of nonlinear equations. The first chapter contains an account of ...
(University of St Andrews, 2000) - ThesisIn this thesis we study novel aspects of the multifractal properties of rainfall. Our aim is to use multifractal methods to improve the representation of rainfall distributions in climate simulations, in particular by ...
(University of St Andrews, 2006) - Thesis