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:
“Like most vigorous-minded men, seeing that there was no stopping-place between dogma and negation, he preferred to accept dogma. Of all weaknesses he most disliked timed and half-hearted faith. He would rather have jumped at once to Strong’s pure denial, than yield an inch to the argument that a mystery was to be paltered with because it could not be explained.”
—Henry Brooks Adams (1838–1918)
“In mathematics he was greater
Than Tycho Brahe, or Erra Pater:
For he, by geometric scale,
Could take the size of pots of ale;
Resolve, by sines and tangents straight,
If bread and butter wanted weight;
And wisely tell what hour o’ th’ day
The clock doth strike, by algebra.”
—Samuel Butler (1612–1680)