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Visualizing Quaternions
book

Visualizing Quaternions

by Andrew J. Hanson
February 2006
Intermediate to advanced content levelIntermediate to advanced
600 pages
8h 57m
English
Elsevier Science
Content preview from Visualizing Quaternions

Chapter 15. Alternative Ways of Writing Quaternions

We have taken advantage so far of the clarity of a notation in which a quaternion is represented simply as a four-vector—a list of four variables that obeys certain rules. There are several other completely equivalent notations, including Hamilton’s original formulas, that incorporate the rules of quaternion multiplication as an intrinsic part of the notation itself. As far as we are concerned, these add no new information to the notation we have been using and thus they are not essential to the overall problem of trying to visualize quaternions. Nevertheless, they do relate to notations used in other fields of mathematics and physics and thus have value for their ability to expose those connections. ...

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Publisher Resources

ISBN: 9780120884001