Abstract
It is natural to look for generalizations of the theory of functions over the complex field to higher dimensions. The development of physics at the end of the last century proposed new questions in mathematics. Above all it was necessary to find algebraic possibilities in order to advantageously carry out calculations with vector functions over 3-dimensional domains. An algebraic assumption for such applications was HAMILTON’s invention of the quaternions in 1843. This discovery was published in a final form in his famous paper [Ham] “Elements of Quaternions” in 1866.
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© 1989 Akademie-Verlag Berlin
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Gürlebeck, K., Sprößig, W. (1989). Quaternionic Analysis. In: Quaternionic Analysis and Elliptic Boundary Value Problems. International Series of Numerical Mathematics/Internationale Schriftenreihe zur Numerischen Mathematik/Série internationale d’Analyse numérique, vol 89. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7295-9_1
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DOI: https://doi.org/10.1007/978-3-0348-7295-9_1
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-7297-3
Online ISBN: 978-3-0348-7295-9
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