Mathematical methods in linear inviscid hydrodynamic stability theory

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Abstract
In this paper we present a ‘module’ which is designed to present to the final year undergraduate/first year postgraduate student in applied mathematics, the uses and interconnections between many of the mathematical methods met at undergraduate level, as applied to mathematical models of a real problem of interest in hydrodynamic stability theory. Such an approach as this could possibly supplement previously met ‘methods’ course material, while at the same time, it is hoped, giving the student a more coherent account of the validity and usefulness of ‘tools’ he may have seen only in a somewhat artificial context.

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