ABSTRACT
This chapter considers an algebraic structure that has two binary operations: addition and multiplication. It provides the definition and basic properties of a field. A field is a commutative ring in which the set of all non-zero elements is a group under the operation of multiplication. The chapter illustrates how to construct a field from any integral domain. An integral domain is a commutative ring with unity which does not have any zero divisors. The chapter proves that a finite integral domain is a field. The rational numbers form a subfield of the field of real numbers and the real numbers themselves form a subfield of the field of complex numbers.
