Difference between revisions of "Blog articles/Mathematics"
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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] |
* [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://www.polyomino.f2s.com/ Haskell for Maths]: commutative algebra, combinatorics, number theory, and group theory libraries |
+ | * [http://www.polyomino.f2s.com/ Haskell for Maths]: commutative algebra, combinatorics, number theory, and group theory libraries ([http://haskellformaths.blogspot.com/ blog], [http://hackage.haskell.org/package/HaskellForMaths hackage]) |
* [http://sigfpe.blogspot.com/2006/09/learn-maths-with-haskell.html Learn Maths with Haskell] |
* [http://sigfpe.blogspot.com/2006/09/learn-maths-with-haskell.html Learn Maths with Haskell] |
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* [http://blog.mikael.johanssons.org/archive/2006/10/prototyping-thought/ Prototyping thought] |
* [http://blog.mikael.johanssons.org/archive/2006/10/prototyping-thought/ Prototyping thought] |
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=== Geometry === |
=== Geometry === |
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| − | * [http://www.alpheccar.org/ |
+ | * [http://www.alpheccar.org/content/57.html Haskell, PDF and Penrose Tilings] |
* [http://www.kennknowles.com/blog/2007/11/20/visualizing-2d-convex-hull-using-gtk-and-opengl-in-haskell/ Visualizing 2D convex hull using Gtk and OpenGL in Haskell] |
* [http://www.kennknowles.com/blog/2007/11/20/visualizing-2d-convex-hull-using-gtk-and-opengl-in-haskell/ Visualizing 2D convex hull using Gtk and OpenGL in Haskell] |
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* [http://www.kennknowles.com/blog/2007/12/03/calculating-the-reflect-rotate-translate-normal-form-for-an-isometry-of-the-plane-in-haskell-and-verifying-it-with-quickcheck/ Calculating the reflect-rotate-translate normal form for an isometry of the plane in Haskell, and verifying it with QuickCheck.] |
* [http://www.kennknowles.com/blog/2007/12/03/calculating-the-reflect-rotate-translate-normal-form-for-an-isometry-of-the-plane-in-haskell-and-verifying-it-with-quickcheck/ Calculating the reflect-rotate-translate normal form for an isometry of the plane in Haskell, and verifying it with QuickCheck.] |
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| + | * [http://www.kennknowles.com/blog/2008/04/16/drawing-fractals-in-haskell-with-a-cursor-graphics-dsel-and-a-cute-list-representation/ Drawing fractals in Haskell with a cursor graphics DSEL and a cute list representation] |
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=== Group theory === |
=== Group theory === |
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* [http://blog.mikael.johanssons.org/archive/2006/07/carry-bits-and-group-cohomology/ Carry bits and group cohomology] |
* [http://blog.mikael.johanssons.org/archive/2006/07/carry-bits-and-group-cohomology/ Carry bits and group cohomology] |
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* [http://sigfpe.blogspot.com/2007/06/monads-from-algebra-and-the-gray-code.html Monads from Algebra and the the Gray Code from Groups] |
* [http://sigfpe.blogspot.com/2007/06/monads-from-algebra-and-the-gray-code.html Monads from Algebra and the the Gray Code from Groups] |
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| + | * [http://www.kennknowles.com/blog/2007/12/20/infinite-lazy-knuth-bendix-completion-for-monoids-in-haskell/ Infinite lazy Knuth-Bendix completion for monoids in Haskell] |
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=== Set theory === |
=== Set theory === |
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=== Logic === |
=== Logic === |
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* [http://sigfpe.blogspot.com/2006/06/laws-of-form-opinion.html Laws of Form: An Opinion] |
* [http://sigfpe.blogspot.com/2006/06/laws-of-form-opinion.html Laws of Form: An Opinion] |
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| + | * [https://serokell.io/blog/incomplete-and-utter-introduction-to-modal-logic Incomplete and Utter Introduction to Modal Logic, Pt. 1] |
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| + | * [https://serokell.io/blog/incomplete-and-utter-introduction-to-modal-logic Incomplete and Utter Introduction to Modal Logic, Pt. 2] |
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=== Numerics === |
=== Numerics === |
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| Line 93: | Line 97: | ||
* [http://sigfpe.blogspot.com/2007/03/independence-entanglement-and.html Independence, entanglement and decoherence with the quantum monad] |
* [http://sigfpe.blogspot.com/2007/03/independence-entanglement-and.html Independence, entanglement and decoherence with the quantum monad] |
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* [http://sigfpe.blogspot.com/2007/03/shor-quantum-error-correcting-code-and.html The Shor Quantum Error Correcting Code (and a Monad for Heat)] |
* [http://sigfpe.blogspot.com/2007/03/shor-quantum-error-correcting-code-and.html The Shor Quantum Error Correcting Code (and a Monad for Heat)] |
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| − | * [http://www.alpheccar.org/en/posts/show/68 The Frame Of Reference Monad] |
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== Mathematics of Haskell == |
== Mathematics of Haskell == |
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* Category Theory and the Category of Haskell programs: |
* Category Theory and the Category of Haskell programs: |
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| − | ** [http://www.alpheccar.org/ |
+ | ** [http://www.alpheccar.org/content/74.html Part 1] |
| − | ** [http://www.alpheccar.org/ |
+ | ** [http://www.alpheccar.org/content/76.html Part 2] |
| − | ** [http://www.alpheccar.org/ |
+ | ** [http://www.alpheccar.org/content/77.html Part 3] |
* [http://en.wikibooks.org/wiki/Haskell/Category_theory Category theory and Haskell] |
* [http://en.wikibooks.org/wiki/Haskell/Category_theory Category theory and Haskell] |
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Latest revision as of 07:20, 16 April 2020
Articles using Haskell for mathematics, and the mathematics of Haskell.
For further references see the:
Haskell for mathematics
General
- Eleven Reasons to use Haskell as a Mathematician
- Haskell for Maths: commutative algebra, combinatorics, number theory, and group theory libraries (blog, hackage)
- Learn Maths with Haskell
- Prototyping thought
- Why Haskell?
Calculus and Differential Geometry
Algebraic Topology and Geometry
Geometry
- Haskell, PDF and Penrose Tilings
- Visualizing 2D convex hull using Gtk and OpenGL in Haskell
- Calculating the reflect-rotate-translate normal form for an isometry of the plane in Haskell, and verifying it with QuickCheck.
- Drawing fractals in Haskell with a cursor graphics DSEL and a cute list representation
Group theory
- Computational Group Theory in Haskell
- Carry bits and group cohomology
- Monads from Algebra and the the Gray Code from Groups
- Infinite lazy Knuth-Bendix completion for monoids in Haskell
Set theory
- Ordinals in Haskell
- Constructability, Uncountability, and ω-Haskell
- Defining a power set in one line
Ring theory
Number theory
- Number theory and Haskell:
Cryptography and coding theory
- Feistel Ciphers and DES in Haskell
- Arithmetic coding in Haskell
- Two-dimensional spatial hashing with space-filling curves
Logic
- Laws of Form: An Opinion
- Incomplete and Utter Introduction to Modal Logic, Pt. 1
- Incomplete and Utter Introduction to Modal Logic, Pt. 2
Numerics
- The Division Bell
- Overloading Haskell numbers
Theorem proving
Quantum computing
- The Essence of Quantum Computing
- Monads for vector spaces, probability and quantum mechanics pt. I
- Monads, Vector Spaces and Quantum Mechanics pt. II
- Independence, entanglement and decoherence with the quantum monad
- The Shor Quantum Error Correcting Code (and a Monad for Heat)
Mathematics of Haskell
Category theoretic
- Why isn't ListT list a monad?
- Reverse Engineering Machines with the Yoneda Lemma
- Variable substitution gives a...
- Games, Strategies and the Self-Composition of the List Monad.