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:
“Who knows whither the clouds have fled?
In the unscarred heaven they leave no wake,
And the eyes forget the tears they have shed,
The heart forgets its sorrow and ache;
The soul partakes the season’s youth,
And the sulphurous rifts of passion and woe
Lie deep ‘neath a silence pure and smooth,
Like burnt-out craters healed with snow.”
—James Russell Lowell (1819–1891)
“I must study politics and war that my sons may have liberty to study mathematics and philosophy.”
—John Adams (1735–1826)