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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 27. Concepts of the Rotation Group

In this Chapter we introduce some of the elementary constructs and ideas from the theory of representations of the 3D Euclidean rotation group. The most fundamental properties of representations of the rotation group ultimately have quaternionic origins, although we will not attempt to cover that connection in any depth here (for comprehensive accounts, see Edmonds [43] or Biedenharn and Louck [17,18]).

Brief Introduction to Group Representations

The mathematics of group theory—in particular of the rotation group—is an endless subject, and we will not attempt any rigorous treatment here (e.g., see Altmann [4], Edmonds [43], Gilmore [56], and van der Waerden [163]). However, from a practical computational ...

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Publisher Resources

ISBN: 9780120884001