LoboVault Home

The Quaternions with an application to Rigid Body Dynamics

LoboVault

Please use this identifier to cite or link to this item: http://hdl.handle.net/1928/20182

The Quaternions with an application to Rigid Body Dynamics

Show full item record

Title: The Quaternions with an application to Rigid Body Dynamics
Author: Coutsias, Evangelos A.; Romero, Louis
Abstract: William Rowan Hamilton invented the quaternions in 1843, in his effort to construct hypercomplex numbers, or higher dimensional generalizations of the complex numbers. Failing to construct a generalization in three dimensions (involving "triplets") in such a way that division would be possible, he considered systems with four complex units and arrived at the quaternions. He realized that, just as multiplication by i is a rotation by 90o in the complex plane, each one of his complex units could also be associated with a rotation in space. Vectors were introduced by Hamilton for the first time as "pure quaternions" and Vector Calculus was at first developed as part of this theory. Maxwell's Electromagnetism was first written using quaternions.
Date: 2004
Publisher: Sandia National Laboraties
Citation: Sandia Technical Report, SAND2004-0153
Series: Sandia Technical Report;SAND2004-0153
URI: http://hdl.handle.net/1928/20182


Files in this item

Files Size Format View
Coutsias & Rome ... to Rigid Body Dynamics.pdf 141.8Kb PDF View/Open

This item appears in the following Collection(s)

Show full item record

UNM Libraries

Search LoboVault


Browse

My Account