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:
“Frankly, I’d like to see the government get out of war altogether and leave the whole field to private industry.”
—Joseph Heller (b. 1923)
“The theory of truth is a series of truisms.”
—J.L. (John Langshaw)