Mathematics

Mathematics is the abstract science of number, quantity, and space, either as abstract concepts (pure mathematics), or as applied to other disciplines such as physics and engineering (applied mathematics). It encompasses a wide range of topics including arithmetic, algebra, geometry, calculus, and statistics. Mathematics employs symbolic representations and logical reasoning to develop theories and solve problems. It is foundational to many fields and technologies, providing tools for modeling, analyzing patterns, and making predictions. The discipline is characterized by rigorous proofs and systematic approaches to understanding numerical relationships and spatial configurations.