Explore fields in Mathematics

Foundations & Logic

The study of the fundamental concepts and logical structure of mathematics.

Mathematical Logic

The study of formal logic and its application to mathematics.

Set Theory

The branch of mathematical logic that studies sets, which can be informally described as collections of objects.

Algebra

The study of symbols and the rules for manipulating these symbols.

analytic number theory

Branch of number theory that uses methods from mathematical analysis to solve problems about the integers.

Group Theory

The study of groups, which are algebraic structures known as groups.

Linear Algebra

The branch of mathematics concerning linear equations, linear maps and their representations in vector spaces.

Analysis

The branch of mathematics dealing with limits and related theories, such as differentiation, integration, measure, infinite series, and analytic functions.

Real Analysis

The branch of mathematical analysis dealing with the set of real numbers.

Complex Analysis

The branch of mathematical analysis that investigates functions of complex numbers.

Geometry & Topology

The study of shapes, sizes, relative positions of figures, and properties of space.

Topology

The study of properties of a geometric object that are preserved under continuous deformations.

Euclidean Geometry

A mathematical system attributed to the Alexandrian Greek mathematician Euclid.

Applied Mathematics

The application of mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and industry.

Artificial Intelligence

The study of intelligent agents and the simulation of human intelligence processes by machines.

Cryptography

The practice and study of techniques for secure communication in the presence of third parties.