Abstract
In this lecture, we shall first show that every complex number can be written in exponential form, and then use this form to raise a rational power to a given complex number. We shall also extract roots of a complex number. Finally, we shall prove that complex numbers cannot be ordered.
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© 2011 Springer Science+Business Media, LLC
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Agarwal, R.P., Perera, K., Pinelas, S. (2011). Complex Numbers III. In: An Introduction to Complex Analysis. Springer, Boston, MA. https://doi.org/10.1007/978-1-4614-0195-7_3
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DOI: https://doi.org/10.1007/978-1-4614-0195-7_3
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Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4614-0194-0
Online ISBN: 978-1-4614-0195-7
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