The theory of Diophantine approximations: rationals and irrationals

The theory of Diophantine approximations stands out as a major pillar in the fine understanding of the relationships between real numbers and rational numbers. It extends its reach from simple fractions to the most complex irrationals, offering powerful tools to approach numbers that, at first glance, seem inaccessible through fractions. In 2025, this branch of … Read more

Introduction to integer, decimal, and rational numbers

Introduction aux nombres entiers, décimaux et rationnels

IN BRIEF Relative integers: Positive or negative, denoted ℤ. Set ℕ: Contains all natural numbers, included in ℤ. Rational numbers: Quotient of a relative integer and a non-zero integer, denoted ℚ. irrational numbers: Cannot be written as a ratio of integers. Decimal numbers: A subset of rational numbers. Fractions and decimals: Used to solve problems. … Read more