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 introduction to mathematics:
Subjects of mathematics
Quantity
- Main article: Quantity
Structure
- Main article: Structure
Space
- Main article: Space
Change
- Main article: Change
Foundations and philosophy
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Mathematical logic
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Discrete mathematics
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Applied mathematics
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History of mathematics
- Main article: History of mathematics
Basic mathematics 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
Influential mathematicians
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Mathematics lists
- Main article: Lists of mathematics topics
External links
- Online Encyclopaedia of Mathematics [1] from Springer. Graduate-level reference work with over 8,000 entries, illuminating nearly 50,000 notions in mathematics.
- Some mathematics applets, at MIT
- Rusin, Dave: The Mathematical Atlas. A guided tour through the various branches of modern mathematics. (Can also be found here.)
- Stefanov, Alexandre: Textbooks in Mathematics. A list of free online textbooks and lecture notes in mathematics.
- Weisstein, Eric et al.: Wolfram MathWorld: The Web's Most Extensive Mathematics Resource. An online encyclopedia of mathematics.
- Polyanin, Andrei: EqWorld: The World of Mathematical Equations. An online resource focusing on algebraic, ordinary differential, partial differential (mathematical physics), integral, and other mathematical equations.
- Planet Math. An online mathematics encyclopedia under construction, focusing on modern mathematics. Uses the GFDL, allowing article exchange with Wikipedia. Uses TeX markup.
- Metamath. A site and a language, that formalize mathematics from its foundations.
- Mathematician Biographies. The MacTutor History of Mathematics archive Extensive history and quotes from all famous mathematicians.
- Cain, George: Online Mathematics Textbooks available free online.
- Math & Logic: The history of formal mathematical, logical, linguistic and methodological ideas. In The Dictionary of the History of Ideas.
- Nrich, a prize-winning site for students from age five from Cambridge University
- 'FreeScience Library->Mathematics ' The mathematics section of FreeScience library
- Open Problem Garden, a wiki of open problems in mathematics
- Applications of High School Algebra
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