Real and complex functions form the backbone of modern mathematical analysis, uniting the study of continuity, differentiability, and integrability on the real line with the rich structure of analytic ...

Complex analysis, or the calculus of complex-valued functions, is one of the most beautiful self-contained areas of mathematics. In many ways simpler than real one-variable calculus, it is possible to ...

To impart an understanding of Complex Function Theory, and facility in its application. Complex function theory is a remarkably beautiful piece of pure mathematics, and at the same time an ...

This course will introduce you to the theory of functions of complex variables, which is a core area of mathematics. It is a basic tool in many mathematical theories. We will cover complex numbers and ...