Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, the maximum modulus principle in complex analysis states that if f is a holomorphic function, then the modulus | f | cannot exhibit a true local maximum that is properly within the domain of f. In other words, either f is a constant function, or, for any point z0 inside the domain of f there exist other points arbitrarily close to z0 at which |f | takes larger values.

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