=subject= Mathematics =outline= Purpose: Mathematics is the study of numbers, quantity, structure, space, and change. It is used to understand patterns in the universe and solve real-world problems.

Meaning: Mathematics serves as a universal language that helps describe relationships and make predictions in various fields including science, engineering, and economics.

Importance: Mathematics is fundamental in shaping our understanding of the world, enabling innovation, and developing critical thinking skills.

Knowledge tree:

Trunk (fundamentals, core principles):

Number theory (Mathematics)
- Prime numbers, divisibility, arithmetic operations
Algebra (Mathematics)
- Equations, polynomials, functions
Calculus (Mathematics)
- Differentiation, integration, limits

Branches:

Geometry (Mathematics)
- Shapes, angles, spatial relationships
Statistics (Mathematics)
- Data analysis, probabilistic inference, hypothesis testing
Linear algebra (Mathematics)
- Vectors, matrices, linear transformations

Leaves:

Applied mathematics (Mathematics)
- Mathematical modeling, optimization, cryptography
Discrete mathematics (Mathematics)
- Graph theory, combinatorics, logic
Mathematical logic (Mathematics)
- Propositional logic, predicate logic, proof theory