Introduction to Sets

Related lectures (26)

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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 covers set descriptions, numbers, and important properties.

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.