Broadly speaking, pure mathematics is mathematics which studies entirely abstract concepts. From the eighteenth century onwards, this was a recognized category of mathematical activity, sometimes characterized as speculative mathematics, and at variance with the trend towards meeting the needs of navigation, astronomy, physics, engineering, and so on. Another insightful view put forth is that pure mathematics is not necessarily applied mathematics.
Read more about Pure Mathematics: Generality and Abstraction, Purism, Subfields
Famous quotes containing the words pure and/or mathematics:
“So Lycidas sunk low, but mounted high
Through the dear might of him that walk’d the waves,
Where other groves and other streams along
With nectar pure his oozy locks he laves
And hears the unexpressive nuptial song
In the bless’d kingdoms meek of joy and love.
There entertain him all the saints above
In solemn troops and sweet societies,
That sing, and singing in their glory move,
And wipe the tears for ever from his eyes.”
—John Milton (1608–1674)
“... though mathematics may teach a man how to build a bridge, it is what the Scotch Universities call the humanities, that teach him to be civil and sweet-tempered.”
—Amelia E. Barr (1831–1919)