Lectures related to Real Numbers: Sets and Operations

Covers countability and bijections between sets, demonstrating the uncountability of real numbers.

Explores real sequences, limits, convergence, divergence, and operations on limits.

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

Covers selected topics in mathematics, including Taylor approximations and algebraic structures of Z and K[X].

Covers the concept of total order relation and properties of real numbers.

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

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