From HaskellWiki
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| | ==Tutorials and blogs on Haskell for mathematicians== | | ==Tutorials and blogs on Haskell for mathematicians== |
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| - | * [http://sigfpe.blogspot.com/2006/11/why-isnt-listt-monad.html Why isn't ListT list a monad?]
| + | There's an active commuity of (professional and amateur) mathematicians [http://haskell.org/haskellwiki/Blog_articles/Mathematics blogging about Haskell and mathetmatics]. |
| - | * [http://sigfpe.blogspot.com/2006/11/yoneda-lemma.html Reverse Engineering Machines with the Yoneda Lemma]
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| - | * [http://sigfpe.blogspot.com/2006/11/variable-substitution-gives.html Variable substitution gives a...]
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| - | * [http://sigfpe.blogspot.com/2006/11/from-l-theorem-to-spreadsheet.html From Löb's Theorem to Spreadsheet Evaluation]
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| - | * [http://sigfpe.blogspot.com/2006/10/games-strategies-and-self-composition.html Games, Strategies and the Self-Composition of the List Monad.]
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| - | * [http://sigfpe.blogspot.com/2006/09/practical-synthetic-differential.html Practical Synthetic Differential Geometry]
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| - | * [http://sigfpe.blogspot.com/2006/09/more-low-cost-geometric-algebra.html More Low Cost Geometric Algebra]
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| - | * [http://sigfpe.blogspot.com/2006/09/learn-maths-with-haskell.html Learn Maths with Haskell]
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| - | * [http://sigfpe.blogspot.com/2006/08/algebraic-topology-in-haskell.html Algebraic Topology in Haskell]
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| - | * [http://sigfpe.blogspot.com/2006/09/infinitesimal-types.html Infinitesimal Types]
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| - | * [http://sigfpe.blogspot.com/2006/08/geometric-algebra-for-free_30.html Geometric Algebra for Free!]
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| - | * [http://sigfpe.blogspot.com/2006/01/eleven-reasons-to-use-haskell-as.html Eleven Reasons to use Haskell as a Mathematician]
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| - | * [http://sigfpe.blogspot.com/2006/06/laws-of-form-opinion.html Laws of Form: An Opinion]
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| - | * [http://blog.mikael.johanssons.org/archive/2006/11/a-algebras-and-group-cohomology/ A-algebras and group cohomology]
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| - | * [http://blog.mikael.johanssons.org/archive/2006/10/prototyping-thought/ Prototyping thought]
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| - | * [http://blog.mikael.johanssons.org/archive/2006/10/computational-group-theory-in-haskell-1-in-a-series/ Computational Group Theory in Haskell]
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| - | * [http://blog.mikael.johanssons.org/archive/2006/07/carry-bits-and-group-cohomology/ Carry bits and group cohomology]
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| - | * [http://scienceblogs.com/goodmath/2006/11/why_haskell.php Why Haskell?]
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| - | * [http://scienceblogs.com/goodmath/2006/09/programs_are_proofs_models_and_1.php Programs are Proofs: Models and Types in Lambda Calculus]
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| - | * [http://www.quetzal.com/sambangu/2006/12/polynomials-as-numbers Polynomials as numbers]
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| - | * [http://vandreev.wordpress.com/2006/12/04/non-standard-analysis-and-automatic-differentiation/ Non-standard analysis, automatic differentiation, Haskell]
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| - | * [http://www.polyomino.f2s.com/ Haskell for Maths]: commutative algebra, combinatorics, number theory, and group theory
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| - | * [http://www.serpentine.com/blog/2007/01/11/two-dimensional-spatial-hashing-with-space-filling-curves/ Two-dimensional spatial hashing with space-filling curves]
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| | ==Mathematical hierarchy== | | ==Mathematical hierarchy== |
Revision as of 07:32, 29 June 2007
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?"
To paraphrase Hilbert ("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."
This page collects resources for using Haskell to do mathematics.
1 Textbooks
See Books and tutorials/Mathematics
2 Libraries
A growing collection of Haskell math libraries.
3 Theorem proving
There has been a long tradition of mechanised reasoning in and about Haskell.
4 Mathematics from a Haskell perspective
Articles on computational and category theoretic branches of
mathematics, and their role as a foundation for programming and Haskell
itself.
5 Tutorials and blogs on Haskell for mathematicians
There's an active commuity of (professional and amateur) mathematicians blogging about Haskell and mathetmatics.
6 Mathematical hierarchy
An initiative to develop a mathematically sound algebraic class hierarchy for Haskell. See Haskell and mathematics/Hierarchy
Categories: Community | Mathematics
