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smcro5
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Homework Statement
Find the maximum of [itex]\left|f\right|[/itex] on the disc of radius 1 in the Complex Plane, for f(z)=3-[itex]\left|z\right|^{2}[/itex]
Homework Equations
The maximum modulus principle?
The Attempt at a Solution
Since |z| is a real number, then surely the maximum must be 3 when z=0? However, I was reading that the maximum must occur on the boundary, which is |z|=1, for the disc which is described by |z|≤1. What am I doing wrong? Thanks in advance for any help!
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