The Archimedean Property of the Real Numbers

The Density of the Rational Numbers in the Real Numbers

Lecture 5: The Archimedian Property, Density of the Rationals, and Absolute Value

Real Analysis | The countability of the rational numbers.

Archimedean Property | Real Numbers | Real Analysis

Real Analysis Exam 1 Review Problems and Solutions

Proof that the rational numbers is a countably infinite set

Дедекиндовы разрезы: введение

Real Analysis | The Supremum and Completeness of ℝ

Real Analysis

Archimedean Property

Свойство вложенного интервала и доказательство | Действительный анализ

Real Analysis | The density of Q and other consequences of the Axiom of Completeness.

Real Analysis | The uncountability of ℝ

Proof: Archimedean Principle of Real Numbers | Real Analysis

How Archimedes Almost Broke Math with Circles

Proof: The Limit of a Sequence is Unique | Real Analysis

Каково это — изобретать математику?

The Nested Interval Theorem

Bobby Fischer vs Mikhail Tal | The Legendary King Walk | Candidates Tournament 1962

Proof: The Rationals are Dense in the Reals | Real Analysis