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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  • Polynomial generated polygons 

    Soares, Benedict J. (University of St Andrews, 1999) - Thesis
    A turtle geometric construction on the plane, called a polynomial generated polygon (PGP) and represented by 𝒫[sub]f,[sub]pᵐ, is generated from the sequence obtained from evaluating f(𝓍) ∈ ℤ [𝓍] over ℤ modulo pᵐ where ...

  • Nonlinear magnetic reconnection 

    Colin, A. M. (University of St Andrews, 1987) - Thesis
    In many astrophysical problems magnetic reconnection plays a major role. Despite this reconnection theory remains incompletely understood, partly due to the strong non-linearity of the governing equations and the resulting ...

  • The nonlinear thermal evolution of coronal structures 

    Mendoza Briceño, César Augusto (University of St Andrews, 1996) - Thesis
    The thermal equilibrium and evolution of coronal structure is studied in this thesis. A symmetric and constant cross-sectional coronal loop is considered and, because of the strong magnetic field, the plasma is confined ...

  • Alfvén waves in low-mass star-forming regions 

    Martin, Clare E. (University of St Andrews, 1999) - Thesis
    Low-mass star-forming regions have a lifetime which is greater than their dynamical time and must therefore be, in an average sense, in mechanical equilibrium. The work presented here proposes that an equilibrium exists ...

  • Basic magnetic field configurations for solar filament channels and filaments 

    Mackay, Duncan Hendry (University of St Andrews, 1997) - Thesis
    The three-dimensional magnetic structure of solar filament channels and filaments is considered. A simple analytical potential model of a filament channel is setup with line sources representing the overlying arcades and ...

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