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Mathematics is the search for fundamental truths in pattern, quantity, and change. For more on the relationship between mathematics and science, refer to the article on science.

The following outline is provided as an overview of and topical guide to mathematics:

[edit] Subjects

[edit] Quantity

Main article: Quantity

• Natural numbers
• Integers
• Rational numbers
• Real numbers
• Complex numbers

[edit] Structure

Main article: Structure

• Number theory
• Abstract algebra
• Order theory

[edit] Space

Main article: Space

• Geometry
• Algebraic geometry
• Trigonometry
• Differential geometry
• Topology
• Fractal geometry

[edit] Change

Main article: Change

• Calculus
• Vector calculus
• Differential equations
• Dynamical systems
• Chaos theory

[edit] Foundations and philosophy

• Philosophy of mathematics
• Category theory
• Set theory

[edit] Mathematical logic

• Model theory
• Proof theory
• Recursion theory
• Set theory

[edit] Discrete mathematics

• Combinatorics
• Theory of computation
• Cryptography
• Graph theory

[edit] Applied mathematics

• Mathematical physics
• Analytical mechanics
• Mathematical fluid dynamics
• Numerical analysis
• Optimization
• Probability
• Statistics
• Mathematical economics
• Financial mathematics
• Game theory
• Mathematical biology
• Cryptography
• Operations research
• Information theory
• Control theory
• Dynamical systems

[edit] History

Main article: History of mathematics

• Babylonian mathematics
• Egyptian mathematics
• Indian mathematics
• Greek mathematics
• Chinese mathematics
  • Abacus
• History of the Hindu-Arabic numeral system
• Islamic mathematics
• Japanese mathematics
• History of algebra
• History of geometry
• History of mathematical notation
• History of trigonometry
• History of writing numbers

[edit] General concepts

Algebra — Analysis — Area — Arithmetic — Calculus — Category theory — Combinatorics — Complex number — Computation — Coordinate system — Decimal — Derivative — Digit — Equation — Fractal — Function (mathematics) — Geometry — Infinity — Integral — Length — Limit — Logarithm — Logic — Matrix — Number — Numeral — Pi — Power — Prime number — Proof — Rational number — Real number — Series — Set — Trigonometry — Vector space — Vector (geometric) — Volume

[edit] Influential mathematicians

• Bartel Leendert van der Waerden
• Leonhard Euler
• Pythagoras
• Fibonacci

[edit] See also

• Lists of mathematics topics

[edit] External links

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