Pure mathematics uses mathematics to explore abstract ideas, mathematics that does not necessarily describe a real physical system. This can include developing the fundamental tools used by ...

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After successfully completing the taught component, you will prepare a dissertation on an advanced topic in pure mathematics or mathematical logic, normally of current or recent research interest, ...

This article was originally published with the title “ Mathematics in the Modern World ” in Scientific American Magazine Vol. 211 No. 3 (September 1964), p. 40 doi:10.1038 ...

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