Techniques of Applied Mathematics
by Andrew Fowler
Publisher: University of Oxford 2005
Number of pages: 141
This course develops mathematical techniques which are useful in solving 'real-world' problems involving differential equations, and is a development of ideas which arise in the second year differential equations course. The course embraces the ethos of mathematical modelling, and aims to show in a practical way how equations 'work', and what kinds of solution behaviours can occur.
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The purpose of this paper is to show through particular examples how group theory is used in music. Examples are chosen from the theoretical work and from the compositions of Olivier Messiaen, one of the most influential twentieth century composers.
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