Quadratic form - Revision history

Karl Jones: Karl Jones moved page Quadractic form to Quadratic form

2016-09-04T04:27:25Z

Karl Jones moved page Quadractic form to Quadratic form

Karl Jones: /* Description */

2016-09-04T04:27:14Z

‎Description

Karl Jones: Created page with "In mathematics, a '''quadratic form''' is a homogeneous polynomial of degree two in a number of variables. == De..."

2016-09-04T04:22:18Z

Created page with "In mathematics, a '''quadratic form''' is a homogeneous polynomial of degree two in a number of variables. == De..."

New page

In [[mathematics]], a '''quadratic form''' is a [[homogeneous polynomial]] of [[Degree of a polynomial|degree two]] in a number of [[Variable (mathematics)|variables]].

== Description ==

Quadratic forms occupy a central place in various branches of mathematics, including [[number theory]], [[linear algebra]], [[group theory]] ([[orthogonal group]]), [[differential geometry]] (Riemannian metric), [[differential topology]] (intersection forms of four-manifolds), and [[Lie theory]] (the [[Killing form]]).

== See also ==

* [[ε-quadratic form]]
* [[Quadratic form (statistics)]]
* [[Quadric]]
* [[Discriminant of a quadratic form]]
* [[Cubic form]]
* [[Witt group]]
* [[Witt's theorem]]
* [[Hasse–Minkowski theorem]]
* [[Orthogonal group]]
* [[Square class]]
* [[Ramanujan's ternary quadratic form]]
* [[Variable (mathematics)]]

== External links ==

* [https://en.wikipedia.org/wiki/Quadratic_form Quadratic form] @ Wikipedia.org

[[Category:Mathematics]]

← Older revision		Revision as of 04:27, 4 September 2016
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	== Description ==		== Description ==
		+
		+	For example:
		+
		+	4x^2 + 2xy - 3y^2
		+
		+	is a quadratic form in the variables x and y.

	Quadratic forms occupy a central place in various branches of mathematics, including [[number theory]], [[linear algebra]], [[group theory]] ([[orthogonal group]]), [[differential geometry]] (Riemannian metric), [[differential topology]] (intersection forms of four-manifolds), and [[Lie theory]] (the [[Killing form]]).		Quadratic forms occupy a central place in various branches of mathematics, including [[number theory]], [[linear algebra]], [[group theory]] ([[orthogonal group]]), [[differential geometry]] (Riemannian metric), [[differential topology]] (intersection forms of four-manifolds), and [[Lie theory]] (the [[Killing form]]).

← Older revision	Revision as of 04:27, 4 September 2016
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