Mathematics Glossary
Sets
A set is a collection of distinct objects, considered as an object in its own right.
Relations
A relation is a set of ordered pairs, describing a relationship between elements of two sets.
Functions
A function is a relation where each input has exactly one output.
Groups
A group is a set equipped with a binary operation that satisfies closure, associativity, identity, and invertibility.
Graphs
A graph consists of vertices and edges connecting them, used to model pairwise relations.
Combinatorics
Combinatorics is the study of counting, arrangement, and combination of objects.
Linear Algebra
Linear Algebra studies vectors, matrices, and linear transformations.
Calculus
Calculus is the study of change, including derivatives and integrals.
Probability
Probability measures the likelihood of events occurring.