Mathematics
- Abelian variety, a complex torus that can be embedded into projective space
- Abstract variety, an intrinsically defined variety
- Algebraic variety, the basic object of study in algebraic geometry
- Affine variety, a subset of algebraic varieties
- Projective variety, a subset of algebraic varieties
- Quasiprojective variety, a subset of algebraic varieties (which includes projective and affine varieties)
- Analytic variety, an object much like an algebraic variety but defined as the zero set of finitely many (real- or complex-)analytic functions
- Variety (universal algebra), classes of algebraic structures defined by equations in universal algebra
Read more about this topic: Variety
Famous quotes containing the word mathematics:
“... 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)
“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)
“The three main medieval points of view regarding universals are designated by historians as realism, conceptualism, and nominalism. Essentially these same three doctrines reappear in twentieth-century surveys of the philosophy of mathematics under the new names logicism, intuitionism, and formalism.”
—Willard Van Orman Quine (b. 1908)