Sets and Relations

Related lectures (25)

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

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

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

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

Explores the Cartesian product of sets, subsets, and recurrence in mathematics with examples and exercises.

Covers the Cartesian product of sets and binary relations with detailed examples and graphical representations.

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

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

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

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