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:
“An enormously vast field lies between God exists and there is no God. The truly wise man traverses it with great difficulty. A Russian knows one or the other of these two extremes, but is not interested in the middle ground. He usually knows nothing, or very little.”
—Anton Pavlovich Chekhov (18601904)
“Dont confuse hypothesis and theory. The former is a possible explanation; the latter, the correct one. The establishment of theory is the very purpose of science.”
—Martin H. Fischer (18791962)