Lectures related to Sets and Functions

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.

Analysis IV: Convolution and Hilbert Structure

Explores convolution, uniform continuity, Hilbert structure, and Lebesgue measure in analysis.

Application Reciproque and Composition of Applications

Explores the relationships between functions and sets, focusing on composite functions properties.

Operations on Sets: Parts, Intersection, and Difference

Explores operations on sets, Cartesian products, and functions' properties.

Sets and Functions

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

Sets and Functions

Introduces sets, functions, and their properties, including injective and surjective functions, composition, and inverse functions.

Data Structures and Functions

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

Introduction to Functions

Covers the basics of functions, including domain, codomain, image, and range, as well as injections, surjections, and bijections.