Lisbon, Portugal

Bachelor's

Language: Portuguese

Subject area: mathematics and statistics

Qualification: politécnico

University website: www.ipl.pt

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.

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.

By relieving the brain of all unnecessary work, a good notation sets it free to concentrate on more advanced problems, and in effect increases... mental power... Probably nothing in the modern world would have more astonished a Greek mathematician than to learn that, under the influence of compulsory education, the whole population of Western Europe, from the highest to the lowest, could perform the operation of division for the largest numbers. This fact would have seemed to him a sheer impossibility.

Alfred North Whitehead, An Introduction to Mathematics (1911) Ch. 5, p. 59.

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..