Difference between revisions of "Mathematics"

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And:
 
And:
  
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* [[Abstract algebra]]
 
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* [[Abstract syntax]]
 
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* [[Abstract syntax tree]]
 
 
* [[Abstraction (mathematics)]]
 
* [[Abstraction (mathematics)]]
 
* [[Algebra]]
 
* [[Algebra]]
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* [[Analysis]]
 
* [[Analysis]]
 
* [[Analytic geometry]]
 
* [[Analytic geometry]]
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* [[Antiderivative]]
 
 
* [[Approximation]]
 
* [[Approximation]]
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* [[Argument of a function]]
 
 
* [[Arithmetic]]
 
* [[Arithmetic]]
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* [[Argument of a function]]
 
 
* [[Axiom]]
 
* [[Axiom]]
 
* [[Radix|Base]]
 
* [[Radix|Base]]
 
* [[Binomial]]
 
* [[Binomial]]
 
* [[Boolean algebra]]
 
* [[Boolean algebra]]
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* [[Boolean function]]
 
 
* [[Calculus]]
 
* [[Calculus]]
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* [[Canonical form]]
 
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* [[Category theory]]
 
 
* [[Cellular automaton]]
 
* [[Cellular automaton]]
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* [[Checksum]]
 
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* [[Citizen Maths]]
 
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* [[Complex dynamics]]
 
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* [[Complex number]]
 
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* [[Complex system]]
 
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* [[Computable analysis]]
 
 
* [[Computation]]
 
* [[Computation]]
 
* [[Conjecture]]
 
* [[Conjecture]]
 
* [[Constant (mathematics)]]
 
* [[Constant (mathematics)]]
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* [[Constraint (mathematics)]]
 
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* [[Constructive analysis]]
 
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* [[Constructive mathematics]]
 
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* [[Control theory]]
 
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* [[Covering space]]
 
 
* [[Descriptive geometry]]
 
* [[Descriptive geometry]]
 
* [[Differential equation]]
 
* [[Differential equation]]
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* [[Differential geometry]]
 
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* [[Differential geometry of surfaces]]
 
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* [[Differential topology]]
 
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* [[Dimensionless quantity]]
 
 
* [[Discrete mathematics]]
 
* [[Discrete mathematics]]
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* [[Dynamical systems]]
 
 
* [[Element (mathematics)]]
 
* [[Element (mathematics)]]
 
* [[Engineering]]
 
* [[Engineering]]
 
* [[Equation]]
 
* [[Equation]]
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* [[Euler angles]]
 
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* [[Euler method]]
 
 
* [[Expression (mathematics)]]
 
* [[Expression (mathematics)]]
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* [[Feasible set]]
 
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* [[Fibonacci coding]]
 
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* [[Fibonacci sequence]]
 
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* [[Fixed-point theorem]]
 
 
* [[Formal language]]
 
* [[Formal language]]
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* [[Formal grammar]]
 
 
* [[Formal system]]
 
* [[Formal system]]
 
* [[Formula (mathematics)]]
 
* [[Formula (mathematics)]]
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* [[Fractal]]
 
* [[Fractal]]
 
* [[Function (mathematics)]]
 
* [[Function (mathematics)]]
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* [[Functional completeness]]
 
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* [[Geodesic]]
 
 
* [[Geometry]]
 
* [[Geometry]]
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* [[Graph theory]]
 
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* [[Hexadecimal]]
 
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* [[Higman's embedding theorem]]
 
 
* [[How to Solve It]]
 
* [[How to Solve It]]
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* [[Idempotence]]
 
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* [[Indecomposability]]
 
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* [[Indecomposable continuum]]
 
 
* [[Integer]]
 
* [[Integer]]
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* [[Julia set]]
 
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* [[Lakes of Wada]]
 
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* [[Lambda calculus]]
 
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* [[Large cardinal]]
 
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* [[Local analysis]]
 
 
* [[Logic]]
 
* [[Logic]]
 
* [[Logarithm]]
 
* [[Logarithm]]
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* [[Mathematical notation]]
 
* [[Mathematical notation]]
 
* [[Mathematical object]]
 
* [[Mathematical object]]
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* [[Mathematical optimization]]
 
 
* [[Mathematical proof]]
 
* [[Mathematical proof]]
 
* [[Mathematician]]
 
* [[Mathematician]]
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* [[Morse theory]]
 
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* [[Morse–Smale system]]
 
 
* [[Music theory]]
 
* [[Music theory]]
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* [[Natural logarithm]]
 
 
* [[Natural number]]
 
* [[Natural number]]
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* [[Nemeth Braille]]
 
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* [[Newton's method]]
 
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* [[Nonzero-rule]]
 
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* [[Normalization]]
 
 
* [[Number]]
 
* [[Number]]
 
* [[Number theory]]
 
* [[Number theory]]
 
* [[Numeral system]]
 
* [[Numeral system]]
 
* [[Numerical analysis]]
 
* [[Numerical analysis]]
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* [[Numerical computation]]
 
 
* [[Operand]]
 
* [[Operand]]
 
* [[Operation (mathematics)]]
 
* [[Operation (mathematics)]]
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* [[Ordinary differential equation]]
 
 
* [[Permutation]]
 
* [[Permutation]]
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* [[Parametric equation]]
 
 
* [[Philosophy of mathematics]]
 
* [[Philosophy of mathematics]]
 
* [[Pi]]
 
* [[Pi]]
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* [[Poincaré section]]
 
 
* [[Polar coordinate system]]
 
* [[Polar coordinate system]]
 
* [[Power of two]]
 
* [[Power of two]]
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* [[Real number]]
 
* [[Real number]]
 
* [[Recursion]]
 
* [[Recursion]]
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* [[Recursive definition]]
 
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* [[Rewriting]]
 
 
* [[Rounding]]
 
* [[Rounding]]
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* [[Round-off error]]
 
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* [[Scalar field]]
 
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* [[Scalar field theory]]
 
 
* [[Scaling (geometry)]]
 
* [[Scaling (geometry)]]
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* [[Feasible set|Search space]]
 
 
* [[Self-reference]]
 
* [[Self-reference]]
 
* [[Signal]]
 
* [[Signal]]
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* [[Signal processing]]
 
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* [[Simplicial complex]]
 
 
* [[Feasible set|Solution space]]
 
* [[Feasible set|Solution space]]
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* [[Spline (mathematics)]]
 
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* [[Stochastic process]]
 
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* [[Tensor]]
 
 
* [[The Unreasonable Effectiveness of Mathematics in the Natural Sciences]]
 
* [[The Unreasonable Effectiveness of Mathematics in the Natural Sciences]]
 
* [[Topology]]
 
* [[Topology]]
 
* [[Truth value]]
 
* [[Truth value]]
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* [[Tuple]]
 
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* [[Turing completeness]]
 
 
* [[Turing machine]]
 
* [[Turing machine]]
 
* [[Value (mathematics)]]
 
* [[Value (mathematics)]]
 
* [[Variable (mathematics)]]
 
* [[Variable (mathematics)]]
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* [[Undecidable problem]]
 
 
* [[Zero]]
 
* [[Zero]]
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* [[Zero-based numbering]]
 
  
 
== External links ==
 
== External links ==

Revision as of 15:52, 2 March 2016

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of topics such as quantity (numbers), structure, space, time, motion, change, and measurement.

Definition

There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics.

Patterns and conjectures

Mathematicians seek out patterns and use them to formulate new conjectures.

Mathematical proof

Mathematicians resolve the truth or falsity of conjectures by mathematical proof.

Physics

When mathematical structures are good models of real phenomena, then mathematical reasoning can provide insight or predictions about nature.

See Physics.

Fundamental principles

Through the use of abstraction and logic, mathematics developed from:

History

Practical mathematics has been a human activity for as far back as written records exist.

Effort required

The research required to solve mathematical problems can take years or even centuries of sustained inquiry.

See also

And:

External links

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