Sets and Functions

Related lectures (26)

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

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

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.

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

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

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

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

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

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