Abstract
In this chapter I review the axioms associated with different number systems, and show how they also cover imaginary and complex numbers. The complex plane is described as a way of visualising complex numbers and various algebraic operations, and two functions for isolating the real and imaginary parts of a complex expression. The section on Complex Algebra examines topics such as the complex conjugate, powers of i, complex exponentials, logarithms of a complex number, and the hyperbolic functions. Finally, there are a dozen worked examples.
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Reference
Feynman RP (1977) The feynman lectures on physics, vol 1. Addison-Wesley, Boston, p 22–10
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Vince, J. (2018). Complex Numbers. In: Imaginary Mathematics for Computer Science. Springer, Cham. https://doi.org/10.1007/978-3-319-94637-5_2
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DOI: https://doi.org/10.1007/978-3-319-94637-5_2
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Online ISBN: 978-3-319-94637-5
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