global fields

Global fields are mathematical systems used in number theory and algebra, focusing on properties of numbers and how they behave under various operations. Examples include the set of rational numbers (fractions), real numbers, and finite fields used in coding theory. They provide a framework to study solutions to equations and the symmetry of numbers across different contexts. Think of them as universal languages that help mathematicians understand and translate patterns among numbers, whether infinitely many, like the rationals, or finite, like prime-based systems relevant in digital communications.