From modular arithmetic to abstract algebra, Fermat's Little Theorem appears in many forms. In this article, we walk through five distinct proofs of the theorem, each illuminating a different corner of mathematics.
Exploring the irrationality of π, its infinite decimal nature, and why it remains a paradox between finite value and infinite representation.
This article explores how the symmetries of polynomial roots—and the rise of group theory—reveal the hidden structure behind equations, and why the general quintic resists solution by radicals.