Mathematics & Statistics Theses

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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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Recent Submissions

Computer-assisted proofs and the F[super](a,b,c) conjecture

Sutherland, Dale C. (University of St Andrews, 2006) - Thesis

This 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

Carvalho, Catarina A. S. (University of St Andrews, 2006) - Thesis

In 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

Viazminsky, Caesar P. (University of St Andrews, 1974) - Thesis

This 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 ...
Multifractal analysis and modelling of rainfall

Lammering, Birger (University of St Andrews, 2000) - Thesis

In 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 ...
Techniques for computing exact Hausdorff measure with application to a Sierpinski sponge in R³

Ridge, Barry (University of St Andrews, 2006) - Thesis