Number field:Totally real number field
Totally real number field
Algebraic number field
https://en.wikipedia.org
An algebraic number field (or simply number field) is a finite-degree field extension of the field of rational numbers. Here degree means the dimension of ...
Field (mathematics)
https://en.wikipedia.org
Number fields, the siblings of the field of rational numbers, are studied in depth in number theory. Function fields can help describe properties of ...
Introduction
https://crypto.stanford.edu
Number Fields. An (algebraic) number field is a subfield of C whose degree over Q is finite. It turns out that number fields are Dedekind domains thus all ...
Number field
https://encyclopediaofmath.org
A field consisting of complex (e.g., real) numbers. A set of complex numbers forms a number field if and only if it contains more than one ...
Number Field
https://mathworld.wolfram.com
If r is an algebraic number of degree n, then the totality of all expressions that can be constructed from r by repeated additions, subtractions, ...
Number field Definition & Meaning
https://www.merriam-webster.co
The meaning of NUMBER FIELD is the aggregate of all numbers of a given type (as integers, irrationals, complex numbers, vectors) which can be combined by ...
number field in nLab
https://ncatlab.org
Number fields are the basic objects of study in algebraic number theory. For example, one is typically interested in the arithmetic structure of ...
Number Fields
https://link.springer.com
Requiring only a basic knowledge of abstract algebra, this textbook presents the basics of algebraic number theory in a straightforward manner.