Number Theory
Definition of Number Theory as it relates to Science, Mathematics, Combinatorics
Number theory is the study of integers and their properties, often in the context of equations or functions involving these numbers. It encompasses concepts such as prime numbers, congruences, Diophantine equations, and continued fractions, among others. In this hierarchy, number theory can be seen as a refinement of mathematics and combinatorics, where it employs analytical methods to investigate the structure and behavior of integers, thereby providing a foundation for various applications in science and technology.