Quaternions and the art of navigation
作者:
EllenHetland Fenwick,
期刊:
International Journal of Mathematical Education in Science and Technology
(Taylor Available online 1992)
卷期:
Volume 23,
issue 2
页码: 273-279
ISSN:0020-739X
年代: 1992
DOI:10.1080/0020739920230213
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Hamilton's quaternions are introduced in the usual abstract algebra course as simply an example of a division algebra that is not a field. This paper is designed to supplement this deficiency by showing how the quaternions are used in navigation to indicate the position of an aircraft or a surface craft on the earth. The treatment here has examples throughout to illustrate the development of the Quaternions from a vector space, of which the real numbers and the complex numbers are subsets, to the navigation quaternions, which are used in navigation.
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