👉 Bruce Math, also known as Bruce's Math or Bruce's Number Theory, is a fascinating and somewhat esoteric branch of number theory that emerged from the work of mathematician Bruce A. L. M. Smith in the 1990s. It focuses on the properties of numbers, particularly integers, and introduces a unique set of axioms and theorems that extend and refine classical number theory. Bruce Math emphasizes the importance of modular arithmetic, particularly in the context of quadratic forms and Diophantine equations. A key feature is the concept of "Bruce's numbers," which are defined in terms of a specific set of congruences and properties, leading to intriguing results about the distribution of prime numbers, the behavior of arithmetic functions, and the structure of algebraic curves over finite fields. This approach has not only provided new insights into classical problems but also opened up connections to other areas of mathematics, such as algebraic geometry and cryptography.
