Mathematics





Mathematics Glossary


Mathematics Glossary

Sets

A set is a collection of distinct objects, considered as an object in its own right.

Venn Diagram illustrating union and intersection

Relations

A relation is a set of ordered pairs, describing a relationship between elements of two sets.

Nodes A, B, C with arrows showing relation pairs

Functions

A function is a relation where each input has exactly one output.

Mapping diagram from set A to set B

Groups

A group is a set equipped with a binary operation that satisfies closure, associativity, identity, and invertibility.

Cayley table showing group operation

Graphs

A graph consists of vertices and edges connecting them, used to model pairwise relations.

Graph with nodes and connecting edges

Combinatorics

Combinatorics is the study of counting, arrangement, and combination of objects.

Tree diagram of combinations/permutations

Linear Algebra

Linear Algebra studies vectors, matrices, and linear transformations.

Matrix multiplication block diagram

Calculus

Calculus is the study of change, including derivatives and integrals.

Graph of function showing tangent slope

Probability

Probability measures the likelihood of events occurring.

Probability tree showing branching outcomes


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