Real Numbers: Order and Completeness

Related lectures (32)

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

Covers the properties of real numbers, including bounds, density, and absolute value.

Explores real numbers, bounds, supremum, infimum, and Archimedean property with practical examples.

Explores the fundamental concepts of real numbers, including sets, operations, and properties like supremum and infimum.

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

Covers the fundamental concepts related to real numbers, including sets, notations, and operations.

Introduces real numbers, their properties, and their significance in analysis.

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

Explores real numbers' properties, bounds, limits, and density in the number line.

Explores real numbers, focusing on the square root of 2 and the implications of its irrationality.