Mathematics & Statistics (School of)

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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On singular pencils of matrices
(University of St Andrews, 1936) - Thesis"This thesis is a study of Singular Matrix Pencils under various aspects. In part (I) a new derivation of the Canonical Form of matrix pencils is given. This suggests investigation of the transformations of a pencil into ... -
The invariant theory of linear complexes associated with a quaternary quadric
(University of St Andrews, 1929) - Thesis"The invariants and covariants of a quaternary system of a linear complex and a quadric have been discussed by Weitzenbock, but he excludes the mixed concomitants. In the present paper the concomitants (which will include ... -
Studies in form-theory : 1. Mixed determinants - 2. The pedal correspondence
(University of St Andrews, 1924) - Thesis -
Contributions to the theory of apolarity
(University of St Andrews, 1924) - Thesis -
Multifractal measures : from self-affine to nonlinear
(University of St Andrews, 2021-12-01) - ThesisThis thesis is based on three papers the author wrote during his time as a PhD student [28, 17, 33]. In Chapter 2 we study 𝐿[sup]𝑞-spectra of planar self-affine measures generated by diagonal matrices. We introduce ...