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Quaternions

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Abstract

Quaternions were invented by the Irish mathematician Sir William Rowan Hamilton (1805–1865) in 1843. Sir William was looking for a way to represent complex numbers in higher dimensions, and it took 15 years of toil before he stumbled upon the idea of using a 4D notation—hence the name ‘quaternion’. Although a quaternion is a hyper-complex number, it does have a matrix form, which is derived in this chapter.

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© 2012 Springer-Verlag London

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Vince, J. (2012). Quaternions. In: Matrix Transforms for Computer Games and Animation. Springer, London. https://doi.org/10.1007/978-1-4471-4321-5_7

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  • DOI: https://doi.org/10.1007/978-1-4471-4321-5_7

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-4320-8

  • Online ISBN: 978-1-4471-4321-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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