Lectures related to Real Numbers: Definitions and Bounds

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

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

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

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

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

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

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

Introduces real number sequences, limits, and their properties.

Explains the concept of infimum in real numbers and its properties.

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