Lectures related to Cardinality of Sets: Countable and Uncountable

Explores defining arithmetic operations through counting, with insights on cardinal numbers, Cantor's work, and Sudoku.

Covers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.

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

Introduces Cartesian product and induction for proofs using integers and sets.

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