Difference between revisions of "Haskell and mathematics"
Jump to navigation
Jump to search
DonStewart (talk | contribs) (redirect to math blog page) |
m |
||
| (9 intermediate revisions by 4 users not shown) | |||
| Line 1: | Line 1: | ||
Haskell is growing in popularity among mathematicians. As one blogger put it: |
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." |
+ | :''"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 |
and |
||
| − | :"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?"'' |
| ⚫ | |||
| − | 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: |
||
| − | :"Haskell is too mathematical for many mathematicians." |
||
| ⚫ | |||
| ⚫ | |||
| + | * The [http://hackage.haskell.org/packages/archive/pkg-list.html#cat:Math category of math libraries] on the Hackage library database. |
||
| ⚫ | |||
| ⚫ | |||
| ⚫ | |||
| ⚫ | |||
| ⚫ | |||
| ⚫ | |||
| ⚫ | |||
| + | * [[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: |
||
| − | ==Textbooks== |
||
| + | * [http://www.cs.cmu.edu/~kw/pubs/conway.pdf Proving Conway's Lost Cosmological Theorem with Haskell] |
||
| ⚫ | |||
| − | |||
| − | ==Libraries== |
||
| − | |||
| ⚫ | |||
| − | |||
| − | ==Theorem proving== |
||
| − | |||
| ⚫ | |||
| ⚫ | |||
| ⚫ | |||
| − | |||
| − | ==Mathematics from a Haskell perspective == |
||
| − | |||
| ⚫ | |||
| − | mathematics, and their role as a foundation for programming and Haskell |
||
| − | itself. |
||
| − | |||
| − | ==Tutorials and blogs on Haskell for mathematicians== |
||
| − | |||
| ⚫ | |||
| − | |||
| − | ==Mathematical hierarchy== |
||
| − | |||
| ⚫ | |||
[[Category:Community]] |
[[Category:Community]] |
||
| − | |||
[[Category:Mathematics|*]] |
[[Category:Mathematics|*]] |
||
Latest revision as of 05:23, 12 July 2021
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: