Mathematics

Mathematics is a formal science that deals with the study of numbers, quantities, shapes, and patterns. It involves the exploration of concepts such as addition, subtraction, multiplication, division, and more advanced topics like algebra, geometry, calculus, and statistics. Mathematics uses symbolic language and logical reasoning to establish relationships between different entities and to solve problems across various fields, including science, engineering, finance, and social sciences. Fundamental to mathematics are various sub-disciplines, each with its own principles and applications, such as arithmetic (the study of numbers), algebra (the study of symbols and the rules for manipulating them), geometry (the study of shapes and their properties), and calculus (the study of change and motion). The discipline enables the formulation of theories and the development of models to interpret the world in a quantitative manner.