Mathematics Branches

Explore the different branches of mathematics, from basic concepts to advanced theories

Basic Mathematics

The foundation branch of mathematics, providing basics for other mathematical fields

Arithmetic

Basic operations and properties of numbers

Basic Operations
Fractions and Decimals
Percentages

Algebra

Symbolic operations and equation solving

Linear Equations
Quadratic Equations
Polynomials

Geometry

Shapes, sizes, and spatial relationships

Plane Geometry
Solid Geometry
Trigonometry

Advanced Mathematics

More in-depth mathematical theories and applications

Calculus

Study of rates of change and accumulation

Derivatives
Integrals
Series

Linear Algebra

Vector spaces and linear transformations

Matrices
Vectors
Eigenvalues

Probability & Statistics

Data analysis and random phenomena

Descriptive Statistics
Inferential Statistics
Probability Theory

Applied Mathematics

Mathematics applied to real-world problems

Optimization

Finding the best solution among alternatives

Linear Programming
Nonlinear Optimization
Game Theory

Numerical Analysis

Algorithms for mathematical problems

Numerical Methods
Approximation Theory
Computational Mathematics

Mathematical Modeling

Using mathematics to represent real systems

Differential Equations
Simulation
System Dynamics

Theoretical Mathematics

Pure mathematical research and abstract concepts

Real Analysis

Rigorous study of real numbers and functions

Limits and Continuity
Differentiation
Integration

Abstract Algebra

Algebraic structures and operations

Groups
Rings
Fields

Topology

Properties of space preserved under transformations

Point-set Topology
Algebraic Topology
Differential Topology

Learning Path

Choose your learning path based on your current level and interests