Complex Analysis

Definition

Complex analysis is a branch of mathematics that focuses on studying functions involving complex numbers. It explores concepts like holomorphic functions, contour integrals, and residues.

Analogy

Imagine complex analysis as solving puzzles in an escape room filled with imaginary objects. You navigate through intricate paths using complex numbers to unlock hidden secrets.

Related terms

Holomorphic Functions: Holomorphic functions are complex-valued functions that are differentiable at every point within their domain.

Contour Integrals: Contour integrals involve integrating along specific paths in the complex plane rather than just along real number lines.

Residues: In complex analysis, residues are calculated to evaluate certain types of integrals around singular points within closed curves.