Octonions: Difference between revisions

From Citizendium
Jump to navigation Jump to search
imported>Aleksander Stos
m (typo)
imported>Subpagination Bot
m (Add {{subpages}} and remove any categories (details))
Line 1: Line 1:
{{subpages}}
'''Octonions''' are a [[Commutativity|non-commutative]] extension of the [[Complex number|complex numbers]]. They were were first discovered by John Graves, a friend of Sir William Rowan Hamilton who first described the related [[Quaternions|quaternions]].  
'''Octonions''' are a [[Commutativity|non-commutative]] extension of the [[Complex number|complex numbers]]. They were were first discovered by John Graves, a friend of Sir William Rowan Hamilton who first described the related [[Quaternions|quaternions]].  
Although Hamilton offered to publicize Graves discovery, it took Arthur Cayley to rediscover and publish in 1845, for this reason octonions are also known as Cayley Numbers.
Although Hamilton offered to publicize Graves discovery, it took Arthur Cayley to rediscover and publish in 1845, for this reason octonions are also known as Cayley Numbers.
Line 11: Line 13:


== References ==
== References ==
[[Category:Mathematics Workgroup]]
[[Category:CZ Live]]

Revision as of 06:49, 12 November 2007

This article is a stub and thus not approved.
Main Article
Discussion
Related Articles  [?]
Bibliography  [?]
External Links  [?]
Citable Version  [?]
 
This editable Main Article is under development and subject to a disclaimer.

Octonions are a non-commutative extension of the complex numbers. They were were first discovered by John Graves, a friend of Sir William Rowan Hamilton who first described the related quaternions. Although Hamilton offered to publicize Graves discovery, it took Arthur Cayley to rediscover and publish in 1845, for this reason octonions are also known as Cayley Numbers.

Definition & basic operations

The octinions, , are a eight-dimensional normed division algebra over the real numbers.


Properties

Applications

References