# Difference between revisions of "Blog articles/Mathematics"

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=== Ring Theory === | === Ring Theory === | ||

− | * [http:// | + | * [http://sambangu.blogspot.com/2006/12/polynomials-as-numbers Polynomials] ([http://sambangu.blogspot.com/2006/12/questions-on-haskell-style-and update]) |

=== Number Theory === | === Number Theory === |

## Revision as of 09:26, 29 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

### 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.