Mathematics is the discipline concerned with the investigation and analysis of structure, order, and relationships. The fundamental techniques for quantifying, evaluating, and characterizing the morphology of an entity have undergone progressive development throughout history. This study examines dimensions such as size, organizational structure, spatial arrangement, and temporal dynamics. Mathematics is an academic discipline that focuses on the analysis and exploration of patterns, the creation of conjectures, and the rigorous verification of truth using deductive reasoning based on carefully chosen axioms and definitions. Axioms are fundamental principles that underlie several mathematical disciplines, such as arithmetic, geometry, algebra, number theory, formulas, calculus, proofs, and abstractions from nature.
A mathematical proof consists of a sequence of applications of pre-established rules, along with a set of underlying principles that are believed to form the true underpinnings of the theory.
The etymology of the term “mathematics” can be traced back to the Greek word "mathema," which encompasses the concepts of measurement, ratio, and understanding.