Sets: Basics

Related lectures (26)

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.

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

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

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

Introduces sets, Cartesian product, order importance, and relations on sets.

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

Covers abbreviated calculation, structures, operations, and unique set properties.

Covers the fundamental concepts of sets and subsets in linear algebra, including operations and properties.

Explores invariant definitions in sets, groups, and automorphisms, including p-divisible groups and free abelian groups.

Covers set equality, subsets, proper subsets, and Venn diagrams.

Covers set equality, subsets, proper subsets, and techniques for showing equality of sets.

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

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

Covers subsets, power sets, and functions through an engaging quiz format.

Explores mapping functions, surjections, injective and surjective functions, and bijective functions.

Explores the fundamental concepts of real numbers, including sets, operations, and properties like supremum and infimum.

Covers the basics of analysis, including real numbers, proofs, sets, and operations.

Explores the intersection of sets, defining it and discussing its properties.

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

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