Mathematics (nonfiction): Difference between revisions
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'''Mathematics''' (from Greek μάθημα ''máthēma'', "knowledge, study, learning") is the study of topics such as | '''Mathematics''' (from Greek μάθημα ''máthēma'', "knowledge, study, learning") is the study of topics such as numbers, structure, space, [[time]], motion, change, and [[measurement]]. | ||
== Definition == | == Definition == | ||
| Line 17: | Line 17: | ||
When mathematical structures are good models of real phenomena, then mathematical reasoning can provide insight or predictions about nature. | When mathematical structures are good models of real phenomena, then mathematical reasoning can provide insight or predictions about nature. | ||
See [[Physics | See [[Physics]]. | ||
== Fundamental principles == | == Fundamental principles == | ||
Through the use of | Through the use of abstraction and [[logic (nonfiction)]], mathematics developed from: | ||
* | * Counting | ||
* | * Calculation | ||
* | * Measurement | ||
* The systematic study of the shapes and motions of physical objects | * The systematic study of the shapes and motions of physical objects | ||
| Line 49: | Line 49: | ||
* [[Number (nonfiction)]] | * [[Number (nonfiction)]] | ||
* [[Outsider mathematician (nonfiction)]] | * [[Outsider mathematician (nonfiction)]] | ||
* [[Pi (nonfiction)]] | * [[Pi (nonfiction)]] | ||
* [[Prenex normal form (nonfiction)]] | * [[Prenex normal form (nonfiction)]] | ||
* [[Turing machine (nonfiction)]] | * [[Turing machine (nonfiction)]] | ||
== Fiction cross-references == | == Fiction cross-references == | ||
| Line 82: | Line 66: | ||
* [http://en.wikipedia.org/wiki/Mathematics Mathematics] @ Wikipedia | * [http://en.wikipedia.org/wiki/Mathematics Mathematics] @ Wikipedia | ||
=== YouTube === | |||
* [https://www.youtube.com/watch?v=kZTKuMBJP7Y How Not to Be Wrong: The Power of Mathematical Thinking] @ YouTube | * [https://www.youtube.com/watch?v=kZTKuMBJP7Y How Not to Be Wrong: The Power of Mathematical Thinking] @ YouTube | ||
Revision as of 04:23, 31 May 2016
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of topics such as numbers, structure, space, time, motion, change, and measurement.
Definition
There is a range of views among mathematicians (nonfiction) 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 (nonfiction).
Mathematical proof
Mathematicians resolve the truth or falsity of conjectures by mathematical proof (nonfiction).
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 (nonfiction), mathematics developed from:
- Counting
- Calculation
- Measurement
- The systematic study of the shapes and motions of physical objects
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.
Nonfiction cross-reference
- Algorithm (nonfiction)
- Cellular automaton (nonfiction)
- Computation (nonfiction)
- Fractal (nonfiction)
- Geometry (nonfiction)
- Gnomon (nonfiction)
- Logic (nonfiction)
- Mandelbrot set (nonfiction)
- Mathematician (nonfiction)
- Number (nonfiction)
- Outsider mathematician (nonfiction)
- Pi (nonfiction)
- Prenex normal form (nonfiction)
- Turing machine (nonfiction)
Fiction cross-references
- Axiom Antics
- Gnomon Algorithm
- Pi disaster
- Mathematician
- Mathematics
- Poem
- Three is the Color of My True Love's Hair (nonfiction)
External links
- Mathematics @ Wikipedia