Applications of Field Theory
The concept of a field is of use, for example, in defining vectors and matrices, two structures in linear algebra whose components can be elements of an arbitrary field.
Finite fields are used in number theory, Galois theory and coding theory, and again algebraic extension is an important tool.
Binary fields, fields of characteristic 2, are useful in computer science.
Read more about this topic: Field Theory (mathematics)
Famous quotes containing the words field and/or theory:
“And there, a field rat, startled, squealing bleeds,
His belly close to ground. I see the blade,
Blood-stained, continue cutting weeds and shade.”
—Jean Toomer (1894–1967)
“We have our little theory on all human and divine things. Poetry, the workings of genius itself, which, in all times, with one or another meaning, has been called Inspiration, and held to be mysterious and inscrutable, is no longer without its scientific exposition. The building of the lofty rhyme is like any other masonry or bricklaying: we have theories of its rise, height, decline and fall—which latter, it would seem, is now near, among all people.”
—Thomas Carlyle (1795–1881)