Number Theory
Definition of Number Theory as it relates to Science, Mathematics, Geometry
Number theory, also known as higher arithmetic, is a branch of pure mathematics dealing with properties and relationships of numbers, particularly integers. It involves exploring concepts such as prime numbers, divisibility, congruences, Diophantine equations, and algebraic number fields. In the hierarchy of Science/Mathematics/Geometry, number theory fits in by providing a theoretical framework that underpins various aspects of mathematics, including geometry and other branches of science. It offers fundamental insights into patterns, structures, and relationships that exist within numbers themselves.