👉 Mathematics is broadly categorized into several disciplines, each focusing on distinct aspects of numbers, quantities, and spatial relationships. Arithmetic deals with basic operations like addition, subtraction, multiplication, and division, forming the foundation of mathematical thinking. Algebra introduces symbols and rules to solve equations and manipulate expressions, extending arithmetic concepts to more complex problems. Geometry explores shapes, sizes, positions, and dimensions, encompassing points, lines, angles, and planes. Calculus combines algebra and geometry to study change and motion, focusing on limits, derivatives, and integrals. Number theory examines properties of integers and other whole numbers, while topology investigates shapes and spaces by focusing on their properties that remain invariant under continuous transformations. Probability and statistics analyze random phenomena and data, respectively, providing tools for understanding uncertainty and making informed decisions. Each category builds upon the others, creating a rich tapestry of mathematical knowledge and applications.
