(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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]

2. Relevant equations

The maximum modulus principle?

3. 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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# Homework Help: Complex Analysis - The Maximum Modulus Principle

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