Real Numbers: sqrt(2)Explores real numbers, focusing on the square root of 2 and the implications of its irrationality.
Properties of Real NumbersExplains the properties of subsets of real numbers, including Supremum, Infimum, intervals, open sets, and closed sets.
SupremumCovers the concept of supremum in real numbers and its properties as the least upper bound of a set.
Real Numbers: Order and CompletenessCovers the properties of real numbers, focusing on the total order and completeness, including the Archimedean property and the concepts of supremum and infimum.
Boundary AnalysisExplores boundaries in sets, defining them as points not well separated from the set or its complement.