Abstract
Sum, product and quotient in cartesian and modulus-argument forms. Complex conjugate numbers. Representation of complex numbers on an Argand diagram. De Moivre’s theorem with simple applications to trigonometric identities and the roots of a number. The relation
and its use in the rotation of vectors. Simple loci including |z − a| = k |z − b | and arg (z − a) − arg (z − b) = θ.
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© 1991 B. Haines and R. Haines
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Haines, B., Haines, R. (1991). Complex Numbers. In: Work Out Pure Mathematics A-Level. Macmillan Work Out Series. Palgrave, London. https://doi.org/10.1007/978-1-349-12136-6_19
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DOI: https://doi.org/10.1007/978-1-349-12136-6_19
Publisher Name: Palgrave, London
Print ISBN: 978-0-333-54385-6
Online ISBN: 978-1-349-12136-6
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