Difference between revisions of "Mathematics"
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'''Mathematics''' (from Greek ''μάθημα'' ''máthēma'', "knowledge, study, learning") is the study of topics such as quantity ([[Number|numbers]]), structure, space, and change. | '''Mathematics''' (from Greek ''μάθημα'' ''máthēma'', "knowledge, study, learning") is the study of topics such as quantity ([[Number|numbers]]), structure, space, and change. | ||
| + | |||
| + | == Discussion == | ||
There is a range of views among [[Mathematician|mathematicians]] and philosophers as to the exact scope and definition of mathematics. | There is a range of views among [[Mathematician|mathematicians]] and philosophers as to the exact scope and definition of mathematics. | ||
| − | Mathematicians seek out patterns and use them to formulate new conjectures. | + | Mathematicians seek out patterns and use them to formulate new [[Conjecture|conjectures]]. |
Mathematicians resolve the truth or falsity of conjectures by mathematical proof. | Mathematicians resolve the truth or falsity of conjectures by mathematical proof. | ||
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* [[Cellular automaton]] | * [[Cellular automaton]] | ||
* [[Computation]] | * [[Computation]] | ||
| + | * [[Conjecture]] | ||
* [[Constant (mathematics)]] | * [[Constant (mathematics)]] | ||
* [[Discrete mathematics]] | * [[Discrete mathematics]] | ||
Revision as of 12:29, 30 August 2015
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of topics such as quantity (numbers), structure, space, and change.
Discussion
There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics.
Mathematicians seek out patterns and use them to formulate new conjectures.
Mathematicians resolve the truth or falsity of conjectures by mathematical proof.
When mathematical structures are good models of real phenomena, then mathematical reasoning can provide insight or predictions about nature.
Through the use of abstraction and logic, mathematics developed from:
- Counting
- Calculation
- Measurement
- The systematic study of the shapes and motions of physical objects
Practical mathematics has been a human activity for as far back as written records exist.
The research required to solve mathematical problems can take years or even centuries of sustained inquiry.
See also
- Abstraction (mathematics)
- Algebra
- Algorithm
- Argument of a function
- Arithmetic
- Axiom
- Calculus
- Cellular automaton
- Computation
- Conjecture
- Constant (mathematics)
- Discrete mathematics
- Equation
- Fixed-point theorem
- Formal language
- Formal grammar
- Foundations of mathematics
- Function (mathematics)
- Geometry
- How to Solve It
- Lambda calculus
- Logic
- Mathematical logic
- Mathematical notation
- Mathematical object
- Mathematician
- Music theory
- Natural number
- Number
- Numeral system
- The Unreasonable Effectiveness of Mathematics in the Natural Sciences
- Tuple
- Turing machine
- Variable (mathematics)
- Undecidable problem
External links
- Mathematics @ Wikipedia
