Grafakos L. Complex Analysis With Applications Official

Extensive treatment of harmonic functions and their applications to Laplace's equation and boundary value problems (Dirichlet and Neumann problems).

Utilizes numerous graphics to clarify abstract concepts and visualize mathematical proofs. Grafakos L. Complex analysis with applications

Many subsections include "project problems" that cover advanced topics like Bernoulli numbers, the Gamma function (Euler's reflection formula), and Lambert's W-function . Pedagogical Features the Gamma function (Euler's reflection formula)

A defining feature of this book is its focus on how complex analysis is used in applied sciences: the complex plane

Introduces complex numbers, the complex plane, polar forms, and basic metric topology.