# Algebra

### Imaginary Numbers: Introduction to Complex Numbers

Imaginary numbers, also known as complex numbers, are a fundamental concept in mathematics. They are defined as numbers that involve the imaginary unit, denoted...

### Solving Algebraic Equations

Algebraic equations are mathematical expressions that involve variables and constants. When solving algebraic equations, the goal is to find the value of the variable...

### Rational exponents: a guide

Welcome to the fascinating world of mathematics, where we delve into the concept of rational exponents. We explore the importance of this topic in...

### Long division of polynomials

Within the domain of algebra, the ability to perform polynomial division is a fundamental skill that holds considerable importance in the simplification of intricate...

### Lyapunov stability for nonlinear systems

We discuss the Lyapunov stability for nonlinear systems. Indeed, having a reference solution, a stationary solution, one wonders if the ODE solution is closed...