Lectures related to Real Numbers: Properties and Bounds

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

Covers minimum, maximum, infimum, and supremum concepts in real numbers with examples and proofs.

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

Introduces real number sequences, limits, and their properties.

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

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

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

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

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

Covers solutions to true/false questions on subsets, upper bounds, real numbers, and set properties.