# Haskell and mathematics

### From HaskellWiki

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:"How can Haskell not be the programming language that all mathematicians should learn?" |
:"How can Haskell not be the programming language that all mathematicians should learn?" |
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− | To paraphrase Hilbert ([http://www.autoren-heute.de/wissenschaft/trans_html/Physiker/index.html "Physics is too complicated for Physicists"]), the relative obscurity of Haskell (a language with a strict notion of functions, higher-order-functions, and types) amongst mathematicians may be that: |
+ | This page collects resources for using Haskell to do mathematics: |

− | :"Haskell is too mathematical for many mathematicians." |
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− | This page collects resources for using Haskell to do mathematics. |
+ | * [[Books and tutorials/Mathematics|Mathematics textbooks using Haskell]] |

+ | * The [http://hackage.haskell.org/packages/archive/pkg-list.html#cat:Math category of math libraries] on the Hackage library database. |
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+ | * A growing [[Libraries_and_tools/Mathematics|collection of Haskell math libraries]]. |
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+ | * There has been a long tradition of mechanised reasoning in and about Haskell. |
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+ | ** [[Research_papers/Testing_and_correctness#Verifying_Haskell_programs|Research papers]] |
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+ | ** [[Libraries_and_tools/Theorem_provers|Theorem provers]] |
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+ | * [[Mathematics|Articles]] on computational and category theoretic branches of mathematics, and their role as a foundation for programming and Haskell itself. |
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+ | * [http://haskell.org/haskellwiki/Blog_articles/Mathematics Articles about Haskell and mathematics] |
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+ | * [[Mathematical prelude discussion]]: Initiatives to develop a mathematically sound algebraic class hierarchy for Haskell. |
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+ | * [[Z4]] - a Ro/Haskell page with a small (not complete) implementation of Z4, as part of the Project "Boosting your Maths. Faculty with Haskell" . See paragraph # 3, on page [[Z4]] |
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− | ==Textbooks== |
+ | Math papers using Haskell: |

− | See [[Books and tutorials/Mathematics]] |
+ | * [http://www.cs.cmu.edu/~kw/pubs/conway.pdf Proving Conway's Lost Cosmological Theorem with Haskell] |

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− | ==Libraries== |
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− | A growing [[Libraries_and_tools/Mathematics|collection of Haskell math libraries]]. |
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− | ==Theorem proving== |
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− | There has been a long tradition of mechanised reasoning in and about Haskell. |
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− | * [[Research_papers/Testing_and_correctness#Verifying_Haskell_programs|Research papers]] |
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− | * [[Libraries_and_tools/Theorem_provers|Theorem provers]] |
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− | ==Mathematics from a Haskell perspective == |
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− | [[Mathematics|Articles]] on computational and category theoretic branches of |
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− | mathematics, and their role as a foundation for programming and Haskell |
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− | itself. |
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− | ==Tutorials and blogs on Haskell for mathematicians== |
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− | There's an active commuity of (professional and amateur) mathematicians [http://haskell.org/haskellwiki/Blog_articles/Mathematics blogging about Haskell and mathetmatics]. |
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− | ==Mathematical hierarchy== |
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− | An initiative to develop a mathematically sound algebraic class hierarchy for Haskell. See [[Haskell and mathematics/Hierarchy]] |
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[[Category:Community]] |
[[Category:Community]] |
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[[Category:Mathematics|*]] |
[[Category:Mathematics|*]] |

## Latest revision as of 23:18, 31 January 2009

Haskell is growing in popularity among mathematicians. As one blogger put it:

- "after my involving myself in the subject, one thing that stands out is the relatively low distance between thought expressed in my ordinary day-to-day mathematical discourse, and thought expressed in Haskell code."

and

- "How can Haskell not be the programming language that all mathematicians should learn?"

This page collects resources for using Haskell to do mathematics:

- Mathematics textbooks using Haskell
- The category of math libraries on the Hackage library database.
- A growing collection of Haskell math libraries.
- There has been a long tradition of mechanised reasoning in and about Haskell.
- Articles on computational and category theoretic branches of mathematics, and their role as a foundation for programming and Haskell itself.
- Articles about Haskell and mathematics
- Mathematical prelude discussion: Initiatives to develop a mathematically sound algebraic class hierarchy for Haskell.
- Z4 - a Ro/Haskell page with a small (not complete) implementation of Z4, as part of the Project "Boosting your Maths. Faculty with Haskell" . See paragraph # 3, on page Z4

Math papers using Haskell: