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標題:

maths...complexed numbers (transformation)

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發問:

a)Show that the transformation w=(z-1)/z maps |z-1|=1 in the z-plane onto |w|=|w-1| in the w-plane. The region |z-1|=
最佳解答:

a)Show that the transformation w=(z-1)/z maps |z-1|=1 in the z-plane onto |w|=|w-1| in the w-plane. ANSWER w=(z-1)/z wz=z-1 1=z-wz 1=z(1-w) z=1/(1-w) |z-1|=1 becomes |1/(1-w)-1|=1 |[1-(1-w)]/(1-w)|=1 |w/(1-w)|=1 |w|=|w-1| The region |z-1|=
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