Number Field
If 
is an Algebraic Number of degree 
, then the totality of all expressions that can be constructed from byrepeated additions, subtractions, multiplications, and divisions is called a number field (or an Algebraic NumberField) generated by , and is denoted 
. Formally, a number field is a finite extension 
of theField 
of Rational Numbers.
The numbers of a number field which are Roots of a Polynomial
with integral coefficients and leading coefficient 1 are called the Algebraic Integers of that field.See also Algebraic Function Field, Algebraic Integer, Algebraic Number, Field,Finite Field, Q, Quadratic Field
References
Courant, R. and Robbins, H. What is Mathematics?: An Elementary Approach to Ideas and Methods, 2nd ed. Oxford, England: Oxford University Press, p. 127, 1996. Shanks, D. Solved and Unsolved Problems in Number Theory, 4th ed. New York: Chelsea, pp. 151-152, 1993.
- Isopleth
- Isoptic Curve
- Isosceles Tetrahedron
- Isosceles Triangle
- Isoscelizer
- Isospectral Manifolds
- Isothermal Parameterization
- Isotomic Conjugate Point
- Isotomic Lines
- Isotone Map
- Isotope
- Isotopy
- Isotropic Tensor
- Isovolume Problem
- Isthmus
- Iterated Exponential Constants
- Iterated Function System
- Iterated Radical
- Iteration Sequence
- Itô's Lemma
- Itô's Theorem
- Iverson Bracket
- Iwasawa's Theorem
- j
- Jackson's Difference Fan