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 ...

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 ...

In multivariable calculus, functions can depend on multiple variables. Evaluating these functions involves substituting values for all the variables. For example, if f (x, y) = x² + ...