3.3 Complex Numbers



• Complex values



• We can also show complex numbers graphically. These representations lead to alternative representations. If it is not obvious above, please consider the notation uses a cartesian notation, but a polar notation can also be very useful when doing large calculations.



• We can also do calculations using polar notation (this is well suited to multiplication and division, whereas cartesian notation is easier for addition and subtraction),



• Note that DeMoivre’s theorem can be used to find exponents (including roots) of complex numbers


• Euler’s formula:




• From the above, the following useful identities arise:




• In Scilab