Karl Jones: Created page with "In mathematics, the '''quaternions''' are a number system that extends the complex numbers. == Description == They were first described by Irish mathematician William..."

2016-09-13T19:41:06Z

Created page with "In mathematics, the '''quaternions''' are a number system that extends the complex numbers. == Description == They were first described by Irish mathematician William..."

New page

In [[mathematics]], the '''quaternions''' are a number system that extends the complex numbers.

== Description ==

They were first described by Irish mathematician [[William Rowan Hamilton]] in 1843 and applied to mechanics in [[three-dimensional space]].

A feature of quaternions is that multiplication of two quaternions is noncommutative.

Hamilton defined a quaternion as the quotient of two directed lines in a three-dimensional space or equivalently as the quotient of two vectors.

== See also ==

* [[3-sphere]]
* [[Associative algebra]]
* [[Biquaternion]]
* [[Clifford algebra]]
* [[Complex number]]
* [[Conversion between quaternions and Euler angles]]
* [[Division algebra]]
* [[Dual quaternion]]
* [[Euler angles]]
* [[Exterior algebra]]
* [[Geometric algebra]]
* [[Hurwitz quaternion]]
* [[Hurwitz quaternion order]]
* [[Hyperbolic quaternion]]
* [[Hypercomplex number]]
* [[Lénárt sphere]]
* [[Octonion]]
* [[Pauli matrices]]
* [[Quaternion group]]
* [[Quaternion variable]]
* [[Quaternionic matrix]]
* [[Quaternions and spatial rotation]]
* [[Rotation operator (vector space)]]
* [[Rotations in 4-dimensional Euclidean space]]
* [[Slerp]]
* [[Split-quaternion]]
* [[Tesseract]]

== External links ==

* [https://en.wikipedia.org/wiki/Quaternion Quaternion] @ Wikipedia.org

[[Category:Mathematics]]

Quaternion - Revision history

Karl Jones: Created page with "In mathematics, the '''quaternions''' are a number system that extends the complex numbers. == Description == They were first described by Irish mathematician William..."