1.1 Haskell for mathematics
- 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?
1.1.2 Calculus and Differential Geometry
1.1.3 Algebraic Topology and Geometry
1.1.5 Group Theory
1.1.6 Set Theory
1.1.7 Ring Theory
1.1.8 Number Theory
1.1.9 Cryptography and Coding Theory
- Feistel Ciphers and DES in Haskell
- Arithmetic coding in Haskell
- Two-dimensional spatial hashing with space-filling curves
- Overloading Haskell numbers
1.2 Theorem Proving
1.3 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
1.4 Mathematics of Haskell
1.4.1 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.