Mathematics (nonfiction): Difference between revisions

From Gnomon Chronicles
Jump to navigation Jump to search
No edit summary
No edit summary
Line 1: Line 1:
[[File:Mayan_numerals.svg|thumb|Mayan numerals.]]'''Mathematics''' (from Greek μάθημα ''máthēma'', "knowledge, study, learning") is the study of topics such as numbers, structure, space, [[time]], motion, change, and [[measurement]].
[[File:Mayan_numerals.svg|thumb|Mayan numerals.]]'''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 [[Mathematician (nonfiction)|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.
Mathematicians seek out patterns and use them to formulate new conjectures.
== Mathematical proof ==


Mathematicians resolve the truth or falsity of conjectures by 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.
When mathematical structures are good models of real phenomena, then mathematical reasoning can provide insight or predictions about nature.


See [[Physics]].
There is a range of views among [[Mathematician (nonfiction)|mathematicians]] and philosophers as to the


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


Through the use of abstraction and [[logic (nonfiction)]], mathematics developed from:
The research required to solve mathematical problems can take years or even centuries of sustained inquiry.


* Counting
== Fiction cross-references ==
* Calculation
* Measurement
* The systematic study of the shapes and motions of physical objects


== History ==
* [[Axiom Antics]]
 
* [[Gnomon Algorithm]]
Practical mathematics has been a human activity for as far back as written records exist.
* [[Pi disaster]]
 
* [[Mathematician]]
== Effort required ==
* [[Mathematics]]
 
* [[Poem]]
The research required to solve mathematical problems can take years or even centuries of sustained inquiry.
* [[Three is the Color of My True Love's Hair (nonfiction)]]


== Nonfiction cross-reference ==
== Nonfiction cross-reference ==
Line 52: Line 39:
* [[Prenex normal form (nonfiction)]]
* [[Prenex normal form (nonfiction)]]
* [[Turing machine (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 ==
== External links ==

Revision as of 07:34, 10 June 2016

Mayan numerals.

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

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.

There is a range of views among mathematicians and philosophers as to the

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.

Fiction cross-references

Nonfiction cross-reference

External links

YouTube