Difference between revisions of "Exponential form"
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Revision as of 22:06, 5 September 2006
Every complex number z is the sum of a real and an imaginary component, z=a+bi. If you consider complex numbers to be coordinates in the complex plane with the x-axis consisting of real numbers and the y-axis pure imaginary numbers, then every point z=a+bi can be graphed as (x,y)=(a,b). We can convert z into polar form and re-write it as 
, where r=|z|. By Euler's formula, which states that 
, we can conveniently (yes, again!) rewrite z as 
, which is the general exponential form of a complex number.
See also
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