Number Theory
Definition of Number Theory as it relates to Science, Mathematics, Applied Mathematics
Number Theory, as it pertains to Applied Mathematics in the context of Science and Mathematics, involves the study of integers and their properties, including prime numbers, congruences, Diophantine equations, and p-adic numbers. It forms the foundation for cryptography and coding theory, and has applications in physics and computer science, among other fields. In essence, it is the branch of mathematics that deals with the properties and relationships of whole numbers, particularly their structure, patterns, and behavior under various operations.