Mathematics thesis and dissertation collection
This collection contains a selection of the latest doctoral theses completed at the School of Mathematics. Please note this is not a comprehensive record.
This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.
Recent Submissions

Codensity, compactness and ultrafilters
(The University of Edinburgh, 20160629)Codensity monads are ubiquitous, as are various different notions of compactness and finiteness. Two such examples of "compact" spaces are compact Hausdorff Spaces and Linearly Compact Vector Spaces. Compact Hausdorff ... 
Construction and properties of Schur's invariant matrices
(The University of Edinburgh, 1957) 
Algebras of compact operators
(The University of Edinburgh, 1967)The purpose of this thesis is to examine certain classes of hounded linear operators on a Banach space X in an algebraic light, i.e. as elements of a Banach algebra rather than as operators on X, the Banach algebra in ... 
Singular perturbations
(The University of Edinburgh, 1970) 
Radicals and residuals in wreath products of groups
(The University of Edinburgh, 1975) 
On the reparameterization of models to obtain uncorrelated maximum likelihood estimators
(The University of Edinburgh, 1973)This thesis is concerned primarily with the development of criteria and methods for the reparameterization of models and distributions in order that independent parameter estimators be obtained. The criteria for independence ... 
Capacity of elements of Banach algebras
(The University of Edinburgh, 1972)As its name suggests, this thesis is an account of the recent theory of the capacity of elements of Banach algebras. The first chapter contains a summary of the background theory, other than fundamentals, used, and ... 
Variability in variety trials
(The University of Edinburgh, 1974)This thesis examines some statistical methods that my he helpful in the planning and analysis of series of variety trials. The following aspects of variability among variety yields and their use are considered: 1) Some ... 
Geometry of cubic surfaces, and grace's extension of the doublesix, over finite fields
(The University of Edinburgh, 1966) 
Continuity of functionals and compact action of operators
(The University of Edinburgh, 1970) 
Serial factorial designs
(The University of Edinburgh, 1972)The thesis is primarily concerned with changeover designs for t treatments, t^2 subjects and 2t periods such that each combination of treatments in any two consecutive periods occurs on exactly one subject and each ... 
Critical examination of techniques for estimating parameters in the nonlinear C.E.S. production function
(The University of Edinburgh, 1975) 
Extensions of the concept of numerical range
(The University of Edinburgh, 1974) 
Numerical range of an operator
(The University of Edinburgh, 1970) 
Uniqueness theorems for a class of singular partial differential equations
(The University of Edinburgh, 1967) 
Numerical solution of illposted linear problems
(The University of Edinburgh, 1980) 
Numerical study of the Stefan problem with an application to the growth of crystalline microstructure
(The University of Edinburgh, 1998) 
Penrose transform and its applications
(The University of Edinburgh, 2001) 
Semigroups of wellbounded operators and multipliers
(The University of Edinburgh, 1977) 
Generalised nonassociative arithmetic
(The University of Edinburgh, 1953)