Difference between revisions of "Blog articles/Mathematics"
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=== Number theory === |
=== Number theory === |
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| + | * [http://cdsmith.wordpress.com/2007/06/02/learning-number-theory-and-haskell-the-division-algorithm/ The Division Algorithm] |
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| + | * [http://cdsmith.wordpress.com/2007/06/03/learning-number-theory-and-haskell-more-quickcheck-and-divisors/ QuickCheck and Divisors] |
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| + | * [http://cdsmith.wordpress.com/2007/06/06/learning-number-theory-and-haskell-greatest-common-divisor/ Greatest Common Divisor] |
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* [http://cdsmith.wordpress.com/2007/06/24/learning-haskell-and-number-theory-gcd-and-higher-order-functions/ GCD and Higher Order Functions] |
* [http://cdsmith.wordpress.com/2007/06/24/learning-haskell-and-number-theory-gcd-and-higher-order-functions/ GCD and Higher Order Functions] |
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| + | * [http://cdsmith.wordpress.com/2007/07/05/learning-haskell-and-number-theory-the-end-of-gcd/ The End of GCD] |
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=== Cryptography and coding theory === |
=== Cryptography and coding theory === |
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Revision as of 07:11, 6 July 2007
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
- Learn Maths with Haskell
- Prototyping thought
- Why Haskell?
Calculus and Differential Geometry
Algebraic Topology and Geometry
Geometry
Group theory
- Computational Group Theory in Haskell
- Carry bits and group cohomology
- Monads from Algebra and the the Gray Code from Groups
Set theory
- Ordinals in Haskell
- Constructability, Uncountability, and ω-Haskell
- Defining a power set in one line
Ring theory
Number theory
- The Division Algorithm
- QuickCheck and Divisors
- Greatest Common Divisor
- GCD and Higher Order Functions
- The End of GCD
Cryptography and coding theory
- Feistel Ciphers and DES in Haskell
- Arithmetic coding in Haskell
- Two-dimensional spatial hashing with space-filling curves
Logic
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)
- The Frame Of Reference Monad
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.