Blog articles/Mathematics
From HaskellWiki
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| - | Haskell and mathematics. | + | Haskell and mathematics. |
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| + | For further references see the: | ||
| + | * [[Haskell_and_mathematics|Haskell math community]]. | ||
| + | * [[Blog_articles/Monads]] | ||
== Haskell for mathematics == | == Haskell for mathematics == | ||
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** [http://japple.blogspot.com/2007/02/countable-ordinals-in-haskell.html Part 1] | ** [http://japple.blogspot.com/2007/02/countable-ordinals-in-haskell.html Part 1] | ||
** [http://japple.blogspot.com/2007/06/ordinals-part-2.html Part 2] | ** [http://japple.blogspot.com/2007/06/ordinals-part-2.html Part 2] | ||
| - | * [http://japple.blogspot.com/2007/06/constructability-uncountability-and.html Constructability, Uncountability, and | + | * [http://japple.blogspot.com/2007/06/constructability-uncountability-and.html Constructability, Uncountability, and -Haskell] |
* [http://community.livejournal.com/evan_tech/220036.html Defining a power set in one line] | * [http://community.livejournal.com/evan_tech/220036.html Defining a power set in one line] | ||
Revision as of 01:40, 2 July 2007
Haskell and mathematics.
For further references see the:
Contents |
1 Haskell for mathematics
1.1 General
- Eleven Reasons to use Haskell as a Mathematician
- Haskell for Maths: commutative algebra, combinatorics, number theory, and group theory libraries
- Learn Maths with Haskell
- Prototyping thought
- Why Haskell?
1.2 Calculus and Differential Geometry
1.3 Algebraic Topology and Geometry
1.4 Geometry
1.5 Group theory
- Computational Group Theory in Haskell
- Carry bits and group cohomology
- Monads from Algebra and the the Gray Code from Groups
1.6 Set theory
- Uncountable ordinals in Haskell
- Constructability, Uncountability, and -Haskell
- Defining a power set in one line
1.7 Ring theory
1.8 Number theory
1.9 Cryptography and coding theory
- Feistel Ciphers and DES in Haskell
- Arithmetic coding in Haskell
- Two-dimensional spatial hashing with space-filling curves
1.10 Logic
1.11 Numerics
- The Division Bell
- Overloading Haskell numbers
2 Theorem proving
3 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)
- The Frame Of Reference Monad
4 Mathematics of Haskell
4.1 Category theoretic
- Category Theory and the Category of Haskell programs:
- 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.
