Lectures related to Sets, Functions and Relations: Summary of Week 4

Covers the basic concepts of sets, functions, and number systems.

Covers the basics of tuples, lists, sets, linear types, conversions, dictionaries, and defaultdicts.

Explores real functions, covering parity, periodicity, and polynomial functions.

Covers the definitions and notations related to functions.

Covers the analysis of functions, composition, and mathematical induction.

Covers examples of relation composition, Cartesian product, and injective functions.

Introduces sets, functions, Cartesian products, and compositions, discussing images, preimages, and function properties.

Explains injections, surjections, and bijections in functions with illustrative examples.

Explores recursively defined sets, natural numbers, strings, functions, string concatenation, and well-formed formulae.

Covers the basics of proofs, defining sets, and applications between sets.