Maximum Modulus Principle : Statement and its proof |Gauss Mean Value Theorem| Theta Classes

In this lecture we are going to learn about Maximum Modulus Principle. First we will see the statement of Maximum Modulus Principle and then we proof the above statement in detailed manner. In order to make proof understandable we will try to related each line with the mentioned figure which we draw. While proving at one point we use Gauss Mean Value Theorem so apart from learning the proof of Maximum Modulus Principle we will also going to see about Gauss Mean Value Theorem. During this lecture we will also see the statement and proof of Gauss Mean Value Theorem. After completing Gauss Mean Value Theorem we will complete the proof of Maximum Modulus Principle. If anyone has any doubt regarding Maximum Modulus Principle and Gauss Mean Value Theorem do mention it in the comment section. Keep connected with Theta Classes to study various topics of higher mathematics.