Complex analysis by lars ahlfors

Complex analysis book
As a differentiable function of a complex variable is equal to its Taylor series (that is, it is analytic), complex analysis is particularly concerned with analytic functions of a complex variable (that is, holomorphic functions)..
Complex analysis book
Complex analysis is an important component of the mathematical landscape, unifying many topics from the standard undergraduate curriculum.
It can serve as an effective capstone course for the mathematics major and as a stepping stone to independent research or to the pursuit of higher mathematics in graduate school..
How is complex analysis used?
Complex analysis is used to solve the CPT Theory (Charge, Parity and Time Reversal), as well as in conformal field theory and in the Wick's Theorem.
Complex variables are also a fundamental part of QM as they appear in the Wave Equation.
String Theory: Indeed, Complex Analysis shows up in abundance in String theory..
Mathematical analysis books
The first is Augustin-Louis Cauchy (1789-1857), who developed the theory of the complex integral calculus..

Complex analysis book