Lectures related to Advanced analysis II

Sets and Functions

Introduces sets and functions, covering union, intersection, complement, functions terminology, and set operations analogies.

Course Overview: Teaser on Course Contents

Offers an overview of propositional and predicate logic, sets, functions, relations, algorithms, Swiss cities, sorting tables, Covid infections, poker hands, and prime numbers.

Action: Totally Discontinuous

Explores totally discontinuous group actions on sets and their mathematical implications.

Abbreviated Calculation: Structures and Sets

Covers abbreviated calculation, structures, operations, and unique set properties.

Data Structures: Tuples, Sets, Dictionaries

Explores tuples, sets, and dictionaries in Python, covering immutability, uniqueness, and key-value pairs.

Sets and Functions

Introduces sets, functions, and proofs in mathematics, covering set equality, subsets, Cartesian products, and truth sets of predicates.

Lebesgue Integration: Cantor Set

Explores the construction of the Lebesgue function on the Cantor set and its unique properties.