Number Theory
Definition of Number Theory as it relates to Science, Mathematics, Abstract Algebra
Number theory is the study of properties and relationships of integers, including prime numbers, congruences, and Diophantine equations. It is a fundamental branch of mathematics that has applications in cryptography, coding theory, and algorithms. In this hierarchy, number theory draws upon the abstract nature of algebraic structures studied in abstract algebra to explore deep patterns and properties of integers, making it an essential part of mathematical sciences and mathematics as a whole.