Rotations, complex numbers and quaternions
作者:
Constantinos Tzanakis,
期刊:
International Journal of Mathematical Education in Science and Technology
(Taylor Available online 1995)
卷期:
Volume 26,
issue 1
页码: 45-60
ISSN:0020-739X
年代: 1995
DOI:10.1080/0020739950260106
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The relation between complex numbers and plane rotations is given. In an effort to extend this relation to space rotations and some generalizations of complex numbers, one is led to Hamilton's quaternions and the group of unitary transformations SU(2). The presentation is inspired by the historical development of the subject and aims at giving a natural formulation of important algebraic concepts, based on the study of mathematically relevant concrete examples.
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