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 ...

The [Math Sorcerer] loves books. His latest acquisition is the famous Real and Complex Analysis, which is a very stout math book. How stout? Well, there are several chapters on holomorphic functions, ...

Trigonometric identities are powerful tools for simplifying complex equations in math and science. Three core groups—reciprocal, quotient, and Pythagorean—form the foundation. Effective strategies ...