Category
Set theory
Related lectures (926)
Mapping Functions and Surjections
Explores mapping functions, surjections, injective and surjective functions, and bijective functions.
Cartesian Product and Induction
Introduces Cartesian product and induction for proofs using integers and sets.
Sets and Operations: Introduction to Mathematics
Covers the basics of sets and operations in mathematics, from set properties to advanced operations.
Relations, Sequences and Summations
Covers strings, countable sets, cardinality, and the concept of countability, exploring the countability of various sets and Cantor diagonalization.
Relations in Computer Science
Explores the properties of relations in computer science, including equivalence relations and the partition of a set.
Partial Ordering: Relations, Sequences, Summation
Introduces partial orderings, lattices, and lexicographic orderings on Cartesian products.
Equivalence Relations and Partial Orderings
Introduces equivalence relations, partitions, partial orderings, and total ordering concepts with examples and definitions.
Linear Algebra: Bijections and Cardinality
Explores bijections in linear algebra and the concept of cardinality between sets.
Functions: Definitions and Notations
Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.
Relations and Sequences
Covers relations, sequences, and posets, emphasizing properties like anti-symmetry and transitivity, and introduces arithmetic and geometric progressions.