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Complex Numbers

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Abstract

In this chapter I review 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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References

  • Feynman RP (1977) The Feynman lectures on physics, vol 1. Addison-Wesley, Reading, p 22-10

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  • Vince J (2018) Imaginary mathematics for computer science. Springer, Berlin. ISBN 978-3-319-94636-8

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Correspondence to John Vince .

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Vince, J. (2020). Complex Numbers. In: Foundation Mathematics for Computer Science. Springer, Cham. https://doi.org/10.1007/978-3-030-42078-9_12

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  • DOI: https://doi.org/10.1007/978-3-030-42078-9_12

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-42077-2

  • Online ISBN: 978-3-030-42078-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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