👉 Mathematics, at its core, is the study of relationships between numbers, quantities, and structures. These relationships can be expressed through various mathematical concepts such as equations, functions, graphs, and sets. For instance, equations like \(y = mx + b\) describe a linear relationship between variables \(x\) and \(y\), where \(m\) is the slope and \(b\) is the y-intercept. Functions extend this idea, defining how one quantity changes with respect to another, often visualized as points on a graph. Relationships can also be more abstract, like group theory in algebra, which explores the symmetries and structures of mathematical objects. These relationships are fundamental to solving problems in physics, engineering, economics, and beyond, providing a language to model and analyze complex systems and phenomena.
