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:
“The poet will write for his peers alone. He will remember only that he saw truth and beauty from his position, and expect the time when a vision as broad shall overlook the same field as freely.”
—Henry David Thoreau (1817–1862)
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—Anna Quindlen (20th century)