Difference between revisions of "Blog articles/Mathematics"
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=== Set theory === |
=== Set theory === |
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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] |
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** [http://japple.blogspot.com/2007/06/ordinals-part-2.html Part 2] |
** [http://japple.blogspot.com/2007/06/ordinals-part-2.html Part 2] |
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=== Ring theory === |
=== Ring theory === |
Revision as of 04:18, 30 June 2007
Haskell and mathematics. See also the Haskell math community.
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
Set theory
- Countable ordinals in Haskell
- Defining a power set in one line
Ring theory
Number theory
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
- 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.