Field (mathematics)/Related Articles

From Citizendium
Jump to: navigation, search
This article is a stub and thus not approved.
Main Article
Related Articles  [?]
Bibliography  [?]
External Links  [?]
Citable Version  [?]
A list of Citizendium articles, and planned articles, about Field (mathematics).
See also changes related to Field (mathematics), or pages that link to Field (mathematics) or to this page or whose text contains "Field (mathematics)".

Parent topics


Other related topics

Bot-suggested topics

Auto-populated based on Special:WhatLinksHere/Field (mathematics). Needs checking by a human.

  • Abstract algebra [r]: Branch of mathematics that studies structures such as groups, rings, and fields. [e]
  • Algebraic number field [r]: A field extension of the rational numbers of finite degree; a principal object of study in algebraic number theory. [e]
  • Algebraic number [r]: A complex number that is a root of a polynomial with rational coefficients. [e]
  • Algebra [r]: A branch of mathematics concerning the study of structure, relation and quantity. [e]
  • Bra-ket notation [r]: The notation 〈ψ|φ〉 for the inner product of ψ and φ, and related notations. [e]
  • Complex number [r]: Numbers of the form a+bi, where a and b are real numbers and i denotes a number satisfying . [e]
  • Dedekind domain [r]: A Noetherian domain, integrally closed in its field of fractions, of which every prime ideal is maximal. [e]
  • Division ring [r]: (or skew field), In algebra it is a ring in which every non-zero element is invertible. [e]
  • Dual space [r]: The space formed by all functionals defined on a given space. [e]
  • Elliptic curve [r]: An algebraic curve of genus one with a group structure; a one-dimensional abelian variety. [e]
  • Field automorphism [r]: An invertible function from a field onto itself which respects the field operations of addition and multiplication. [e]
  • Field extension [r]: A field containing a given field as a subfield. [e]
  • Fraction (mathematics) [r]: A concept used to convey a proportional relation between a part and the whole consisting of a numerator (an integer — the part) and a denominator (a natural number — the whole). [e]
  • Group (mathematics) [r]: Set with a binary associative operation such that the operation admits an identity element and each element of the set has an inverse element for the operation. [e]
  • Integer [r]: The positive natural numbers (1, 2, 3, …), their negatives (−1, −2, −3, ...) and the number zero. [e]
  • Linear map [r]: Function between two vector spaces that preserves the operations of vector addition and scalar multiplication. [e]
  • Mathematics [r]: The study of quantities, structures, their relations, and changes thereof. [e]
  • Matrix inverse [r]: The equivalent of the reciprocal defined for certain matrices. [e]
  • Normal extension [r]: A field extension which contains all the roots of an irreducible polynomial if it contains one such root. [e]
  • Number [r]: One of the fundamental concepts of mathematics, used for such purposes as counting, ordering, and measuring. [e]
  • Ordered field [r]: A field with a total order which is compatible with the algebraic operations. [e]
  • Polynomial [r]: A formal expression obtained from constant numbers and one or indeterminates; the function defined by such a formula. [e]
  • Quadratic equation [r]: An equation of the form ax2 + bx + c = 0 where a, b and c are constants. [e]
  • Rational number [r]: A number that can be expressed as a ratio of two integers. [e]
  • Real number [r]: A limit of the Cauchy sequence of rational numbers. [e]
  • Ring (mathematics) [r]: Algebraic structure with two operations, combining an abelian group with a monoid. [e]
  • Scheme (mathematics) [r]: Topological space together with commutative rings for all its open sets, which arises from 'glueing together' spectra (spaces of prime ideals) of commutative rings. [e]
  • Space (mathematics) [r]: A set with some added structure, which often form a hierarchy, i.e., one space may inherit all the characteristics of a parent space. [e]
  • Structure (mathematical logic) [r]: A set along with a collection of finitary functions and relations which are defined on it. [e]
  • Trace (mathematics) [r]: Sum of diagonal elements of matrix; for linear operator T, the trace is Σkvk|T|vk〉 where {vk} is an orthonormal basis. [e]
  • Vector field [r]: A vector function on the three-dimensional Euclidean space . [e]
  • Vector space [r]: A set of vectors that can be added together or scalar multiplied to form new vectors [e]