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.
Introduction to AnalysisCovers the basics of analysis, including proofs, sets, rational and real numbers, and the concept of infimum.
Properties of Real NumbersExplains the properties of subsets of real numbers, including Supremum, Infimum, intervals, open sets, and closed sets.
Decimal DevelopmentDelves into infinite decimal numbers, exploring convergence and divergence, and showcasing examples of rational and irrational numbers.
Boundary AnalysisExplores boundaries in sets, defining them as points not well separated from the set or its complement.
Real Numbers: sqrt(2)Explores real numbers, focusing on the square root of 2 and the implications of its irrationality.