Number Theory
Definition of Number Theory as it relates to Science, Mathematics, Group Theory
Number theory is the study of integers and their properties, such as divisibility and prime factorization. It forms a foundational branch of mathematics with deep connections to group theory. In this context, number theory explores the algebraic structures of groups, rings, and fields, examining how these structures interact with integer arithmetic. This subfield delves into topics like Diophantine equations, modular forms, and cryptography, offering valuable insights into abstract algebra and its real-world applications within science and mathematics.