Lecture

Introduction to Sets

Related lectures (26)

Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.

Introduces sets as unordered collections of objects and explains set description methods, examples, and types of numbers.

Covers the basics of sets and operations in mathematics, from set properties to advanced operations.

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

Introduces sets in discrete mathematics and explores proof techniques like direct and indirect proofs.

Explores the properties of relations in computer science, including equivalence relations and the partition of a set.

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

Covers the definition of applications, image of elements, and direct and reciprocal images.

Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.

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

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

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

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

Covers weak derivatives, their properties, and applications in functional analysis.

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

Covers organizational aspects, introduces Kahut for quizzes, presents complex examples, and summarizes the main topics.

Introduces fundamental concepts of linear algebra, focusing on sets and operations.

Covers the basics of analysis, including proofs, sets, rational and real numbers, and the concept of infimum.

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

Explores solutions of differential equations and properties of functions.