**Fields of Mathematics**

Mathematics can, broadly speaking, be subdivided into the study of quantity, structure, space, and change (i.e. arithmetic, algebra, geometry, and analysis). In addition to these main concerns, there are also subdivisions dedicated to exploring links from the heart of mathematics to other fields: to logic, to set theory (foundations), to the empirical mathematics of the various sciences (applied mathematics), and more recently to the rigorous study of uncertainty.

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### Famous quotes containing the words fields of, fields and/or mathematics:

“a child’s

Forgotten mornings when he walked with his mother

Through the parables

Of sunlight

And the legends of the green chapels

And the twice-told *fields of* infancy”

—Dylan Thomas (1914–1953)

“We shall fight on the beaches, we shall fight on the landing grounds, we shall fight in the *fields* and in the streets, we shall fight in the hills; we shall never surrender.”

—Winston Churchill (1874–1965)

“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)