📄️ Definition and properties
Complex numbers are a fundamental concept in mathematics, extending the idea of the one-dimensional number line to a two-dimensional complex plane. They play a crucial role in various fields of mathematics, physics, and engineering.
📄️ Complex algebra
Complex algebra extends algebraic operations and concepts to the domain of complex numbers. It provides powerful tools for solving problems in various fields of mathematics, physics, and engineering.
📄️ Euler's formula
Euler's Formula is a mathematical equation that establishes the fundamental relationship between trigonometric functions and the complex exponential function. It is named after the Swiss mathematician Leonhard Euler and is considered one of the most beautiful equations in mathematics.
📄️ Complex exponentials
Complex exponentials extend the concept of exponential functions to the complex plane, providing a powerful tool for understanding oscillatory phenomena and periodic behavior in various fields of mathematics, physics, and engineering.