A Brief Study on Complex Analysis
Author : Latharani HM
Abstract :
Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers. Complex analysis is a beautiful, tightly integrated subject. It revolves around complex analytic functions. These are functions that have a complex derivative. Unlike calculus using real variables, the mere existence of a complex derivative has strong implications for the properties of the function. Complex analysis is a basic tool in many mathematical theories. By itself and through some of these theories it also has a great many practical applications.
Keywords :
Complex number, limits, continuity, differentiable function, analytic function, CR equation
