Lectures related to Cartesian Product: Sets and Recurrence

Covers the construction of R and equivalence relations in sequences and linear recurrences.

Covers the basics of analysis, including real numbers, proofs, sets, and operations.

Covers function composition and integers, including properties and examples.

Covers manifolds, topology, smooth maps, and tangent vectors in detail.

Covers sets, subsets, and their notation, including the power set concept.

Presents a short proof of a conjecture by Erdös, exploring related questions and detailed proof of the proposition.

Explores mapping functions, surjections, injective and surjective functions, and bijective functions.