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..
Pure Mathematics
Pure mathematics consists entirely of assertions to the effect that, if such and such a proposition is true of anything, then such and such another proposition is true of that thing. It is essential not to discuss whether the first proposition is really true, and not to mention what the anything is, of which it is supposed to be true … If our hypothesis is about anything, and not about some one or more particular things, then our deductions constitute mathematics. Thus mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true. People who have been puzzled by the beginnings of mathematics will, I hope, find comfort in this definition, and will probably agree that it is accurate.
Bertrand Russell, Recent Work on the Principles of Mathematics, published in International Monthly, vol. 4 (1901).
Solar power is potentially an almost limitless resource. The sun provides enough energy in one minute to supply the world’s energy needs for one year. But turning this resource into affordable electricity is difficult – silicon-based solar cells still suffer from a decline in their effectiveness over time. Through her ERC-funded SOLARX project, Professor Hele Savin, of Aalto University in Finland, is investigating a possible route to solving this problem.
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