Manchester, United Kingdom

Pure Mathematics

Language: English Studies in English
Subject area: mathematics and statistics
University website: www.manchester.ac.uk
Doctor of Philosophy (PhD)
Doctor of Philosophy (PhD)
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change. It has no generally accepted definition.
Pure Mathematics
Broadly speaking, pure mathematics is mathematics that studies entirely abstract concepts. This has been a recognizable category of mathematical activity from the 19th century onwards, at variance with the trend towards meeting the needs of navigation, astronomy, physics, economics, engineering, and so on.
Mathematics
A marveilous newtrality have these things mathematicall and also a strange participation between things supernaturall, imortall, intellectuall, simple and indivisible, and things naturall, mortall, sensible, compounded and divisible.
John Dee, The mathematicall praeface to the Elements of geometrie of Euclid of Megara (1570) as editor of Euclid's Elements, translated by Henry Billingsley.
Mathematics
Archimedes will be remembered when Aeschylus is forgotten, because languages die and mathematical ideas do not. "Immortality" may be a silly word, but probably a mathematician has the best chance of whatever it may mean.
G. H. Hardy, A Mathematician's Apology (London 1941).. Quotations by Hardy. Gap.dcs.st-and.ac.uk. Retrieved on 27 November 2013..
Mathematics
Extension and abstraction without apparent direction or purpose is fundamental to the discipline. Applicability is not the reason we work, and plenty that is not applicable contributes to the beauty and magnificence of our subject.
Peter Rowlett, "The unplanned impact of mathematics", Nature 475, 2011, pp. 166-169.
Cancer risk in humans exposed to low radiation doses is usually calculated based upon estimates obtained at higher doses. As many cancers originate in stem cells, studying low dose radiation effects on these cells is particularly important.
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