Real Numbers: sqrt(2)

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Covers the basics of real numbers and set theory, including subsets, intersections, unions, and set operations.

Covers the organization of real numbers, axioms, and bounds, including infimum and supremum.

Covers the concepts of infimum and supremum of subsets in real numbers.

Explains the properties of subsets of real numbers, including Supremum, Infimum, intervals, open sets, and closed sets.

Explores real numbers, including supremum, infimum, maximum, and minimum properties.

Explains infimum, supremum, Archimedes' properties, rational numbers density, and exercises on irrational numbers and minimum values.

Covers the structure and properties of real numbers, including the introduction to the axiomatic system and the implications of Archimedean property.

Explores the conditions for continuity of a function on real numbers.

Covers the basics of real analysis, including functions, limits, and max/min functions.

Covers absolute value, density of rationals, and real line topology.