Abstract
Chapter 4 describes the complex plane which provides a graphical representation for complex numbers. The chapter also contains historical information about the complex plane’s invention, and complements similar historical events associated with quaternions. Polar representation of a complex number is described and how it provides a useful mechanism to visualize rotations in the plane. The chapter summarises key formulae and contains some useful worked examples.
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References
Argand, J.R.: http://www-history.mcs.st-andrews.ac.uk/Mathematicians/Argand.html
Argand, J.R.: Essai sur une manière de représenter les quantités imaginaires dans les constructions géométriques, 2nd edn. Gauthier-Villars, Paris (1874)
Tait, P.G.: Elementary Treatise on Quaternions. Cambridge University Press, Cambridge (1867)
Wallis, J.: http://www-history.mcs.st-andrews.ac.uk/Mathematicians/Wallis.html
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© 2011 Springer-Verlag London Limited
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Vince, J. (2011). The Complex Plane. In: Quaternions for Computer Graphics. Springer, London. https://doi.org/10.1007/978-0-85729-760-0_4
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DOI: https://doi.org/10.1007/978-0-85729-760-0_4
Publisher Name: Springer, London
Print ISBN: 978-0-85729-759-4
Online ISBN: 978-0-85729-760-0
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