Complex analysis theodore gamelin pdf

Is complex analysis interesting?
Introduction: Complex analysis is indeed a beautiful and useful branch of mathematics.
It is one of the classical subjects with most of the main results extending back into the nineteenth century and earlier..
What is the Liouville theorem for analytic functions?
Statement of Liouville's Theorem
Thus according to Liouville's Theorem, if f is an integral function (entire function) satisfying the inequality f(z) ≤ M, where M is a positive constant, for all values of z in complex plane C, then f is a constant function..
Complex analysis is found in many areas of applied mathematics, from fluid mechanics, thermodynamics, signal processing, control theory, mechanical and electrical engineering to quantum mechanics, among others.
And of course, it is a fundamental branch of pure mathematics.

Is complex analysis interesting?