Number Theory
Definition of Number Theory as it relates to Science, Mathematics, Pure Mathematics
Number theory is the study of properties and relationships of integers, including prime numbers, congruences, Diophantine equations, and modular forms. It is fundamental to many areas of mathematics and has applications in cryptography and computer science. As a subfield of pure mathematics within the hierarchy of science and mathematics, number theory delves into the abstract and theoretical aspects of integer structures and their patterns, making it a cornerstone for understanding more complex mathematical concepts.