Lectures related to Properties of Real Numbers

Illustrates the calculation of infimum and supremum for a set of elements.

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

Introduces the properties and structure of real numbers, emphasizing completeness and the Archimedean property.

Explains the concepts of open and closed sets in real numbers.

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

Explains the definitions and properties of maximum, minimum, supremum, and infimum in real numbers.

Covers the existence of real numbers and equivalence classes of Cauchy sequences.

Introduces real analysis basics, including functions, sequences, limits, and set properties in R.

Covers inf/sup, integral part of real numbers, and density of rational numbers.

Covers the concept of supremum in real numbers and its properties as the least upper bound of a set.