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== Maths ==
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Haskell and mathematics. See also the [[Haskell_and_mathematics|Haskell math community]].
   
=== Haskell for mathematics ===
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== Haskell for mathematics ==
   
==== General ====
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=== General ===
   
 
* [http://sigfpe.blogspot.com/2006/01/eleven-reasons-to-use-haskell-as.html Eleven Reasons to use Haskell as a Mathematician]
 
* [http://sigfpe.blogspot.com/2006/01/eleven-reasons-to-use-haskell-as.html Eleven Reasons to use Haskell as a Mathematician]
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* [http://scienceblogs.com/goodmath/2006/11/why_haskell.php Why Haskell?]
 
* [http://scienceblogs.com/goodmath/2006/11/why_haskell.php Why Haskell?]
   
==== Calculus and Differential Geometry ====
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=== Calculus and Differential Geometry ===
   
 
* [http://sigfpe.blogspot.com/2006/09/practical-synthetic-differential.html Practical Synthetic Differential Geometry]
 
* [http://sigfpe.blogspot.com/2006/09/practical-synthetic-differential.html Practical Synthetic Differential Geometry]
 
* [http://vandreev.wordpress.com/2006/12/04/non-standard-analysis-and-automatic-differentiation/ Non-standard analysis, automatic differentiation, Haskell]
 
* [http://vandreev.wordpress.com/2006/12/04/non-standard-analysis-and-automatic-differentiation/ Non-standard analysis, automatic differentiation, Haskell]
   
==== Algebraic Topology and Geometry ====
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=== Algebraic Topology and Geometry ===
   
 
* [http://sigfpe.blogspot.com/2006/08/algebraic-topology-in-haskell.html Algebraic Topology in Haskell]
 
* [http://sigfpe.blogspot.com/2006/08/algebraic-topology-in-haskell.html Algebraic Topology in Haskell]
 
* [http://sigfpe.blogspot.com/2006/09/more-low-cost-geometric-algebra.html More Low Cost Geometric Algebra]
 
* [http://sigfpe.blogspot.com/2006/09/more-low-cost-geometric-algebra.html More Low Cost Geometric Algebra]
 
 
* [http://sigfpe.blogspot.com/2006/08/geometric-algebra-for-free_30.html Geometric Algebra for Free!]
 
* [http://sigfpe.blogspot.com/2006/08/geometric-algebra-for-free_30.html Geometric Algebra for Free!]
   
==== Geometry ====
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=== Geometry ===
 
* [http://www.alpheccar.org/en/posts/show/57 Haskell, PDF and penrose tilings]
 
* [http://www.alpheccar.org/en/posts/show/57 Haskell, PDF and penrose tilings]
   
==== Group Theory ====
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=== Group Theory ===
   
 
* [http://blog.mikael.johanssons.org/archive/2006/10/computational-group-theory-in-haskell-1-in-a-series/ Computational Group Theory in Haskell]
 
* [http://blog.mikael.johanssons.org/archive/2006/10/computational-group-theory-in-haskell-1-in-a-series/ Computational Group Theory in Haskell]
 
* [http://blog.mikael.johanssons.org/archive/2006/07/carry-bits-and-group-cohomology/ Carry bits and group cohomology]
 
* [http://blog.mikael.johanssons.org/archive/2006/07/carry-bits-and-group-cohomology/ Carry bits and group cohomology]
   
==== Set Theory ====
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=== Set Theory ===
 
* [http://community.livejournal.com/evan_tech/220036.html Powerset oneliner]
 
* [http://community.livejournal.com/evan_tech/220036.html Powerset oneliner]
 
* [http://japple.blogspot.com/2007/02/countable-ordinals-in-haskell.html Countable Ordinals in Haskell]
 
* [http://japple.blogspot.com/2007/02/countable-ordinals-in-haskell.html Countable Ordinals in Haskell]
   
==== Ring Theory ====
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=== Ring Theory ===
 
* [http://www.quetzal.com/sambangu/2006/12/polynomials-as-numbers Polynomials]
 
* [http://www.quetzal.com/sambangu/2006/12/polynomials-as-numbers Polynomials]
   
==== Number Theory ====
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=== Number Theory ===
 
* [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]
   
==== Cryptography and Coding Theory ====
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=== Cryptography and Coding Theory ===
 
* [http://vandreev.wordpress.com/2007/06/18/feistel-ciphers-and-des-in-haskell/ Feistel Ciphers and DES in Haskell]
 
* [http://vandreev.wordpress.com/2007/06/18/feistel-ciphers-and-des-in-haskell/ Feistel Ciphers and DES in Haskell]
 
* [http://vandreev.wordpress.com/2007/01/07/arithmetic-coding/ Arithmetic coding in Haskell]
 
* [http://vandreev.wordpress.com/2007/01/07/arithmetic-coding/ Arithmetic coding in Haskell]
 
* [http://www.serpentine.com/blog/2007/01/11/two-dimensional-spatial-hashing-with-space-filling-curves/ Two-dimensional spatial hashing with space-filling curves]
 
* [http://www.serpentine.com/blog/2007/01/11/two-dimensional-spatial-hashing-with-space-filling-curves/ Two-dimensional spatial hashing with space-filling curves]
   
==== Logic ====
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=== Logic ===
 
* [http://sigfpe.blogspot.com/2006/06/laws-of-form-opinion.html Laws of Form: An Opinion]
 
* [http://sigfpe.blogspot.com/2006/06/laws-of-form-opinion.html Laws of Form: An Opinion]
   
==== Numerics ====
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=== Numerics ===
 
* The Division Bell
 
* The Division Bell
 
** [http://praisecurseandrecurse.blogspot.com/2006/12/division-bell-tolls-for-me.html Part One]
 
** [http://praisecurseandrecurse.blogspot.com/2006/12/division-bell-tolls-for-me.html Part One]
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** [http://augustss.blogspot.com/2007/05/i-was-asked-if-my-fixed-number-module.html Dynamic epsilons in Haskell with a bit of type hackery]
 
** [http://augustss.blogspot.com/2007/05/i-was-asked-if-my-fixed-number-module.html Dynamic epsilons in Haskell with a bit of type hackery]
   
=== Theorem Proving ===
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== Theorem Proving ==
 
* [http://vandreev.wordpress.com/2006/12/24/quick-and-dirty-theorem-prover/ Quick and Dirty Theorem Prover]
 
* [http://vandreev.wordpress.com/2006/12/24/quick-and-dirty-theorem-prover/ Quick and Dirty Theorem Prover]
   
=== Quantum Computing ===
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== Quantum Computing ==
   
 
* [http://sigfpe.blogspot.com/2007/02/essence-of-quantum-computing.html The Essence of Quantum Computing]
 
* [http://sigfpe.blogspot.com/2007/02/essence-of-quantum-computing.html The Essence of Quantum Computing]
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* [http://www.alpheccar.org/en/posts/show/68 The Frame Of Reference Monad]
 
* [http://www.alpheccar.org/en/posts/show/68 The Frame Of Reference Monad]
   
=== Mathematics of Haskell ===
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== Mathematics of Haskell ==
   
==== Category Theoretic ====
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=== Category Theoretic ===
   
 
* Category Theory and the Category of Haskell programs:
 
* Category Theory and the Category of Haskell programs:
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* [http://sigfpe.blogspot.com/2006/10/games-strategies-and-self-composition.html Games, Strategies and the Self-Composition of the List Monad.]
 
* [http://sigfpe.blogspot.com/2006/10/games-strategies-and-self-composition.html Games, Strategies and the Self-Composition of the List Monad.]
   
==== Lambda and Combinator Calculi ====
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=== Lambda and Combinator Calculi ===
 
* [http://scienceblogs.com/goodmath/2006/09/programs_are_proofs_models_and_1.php Programs are Proofs: Models and Types in Lambda Calculus]
 
* [http://scienceblogs.com/goodmath/2006/09/programs_are_proofs_models_and_1.php Programs are Proofs: Models and Types in Lambda Calculus]
 
* [http://www.onebadseed.com/blog/?p=51 Don't need the Y combinator]
 
* [http://www.onebadseed.com/blog/?p=51 Don't need the Y combinator]
   
==== Other Formal Logics ====
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=== Other Formal Logics ===
 
* [http://sigfpe.blogspot.com/2006/11/from-l-theorem-to-spreadsheet.html From Löb's Theorem to Spreadsheet Evaluation]
 
* [http://sigfpe.blogspot.com/2006/11/from-l-theorem-to-spreadsheet.html From Löb's Theorem to Spreadsheet Evaluation]
   
==== Miscellaneous ====
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=== Miscellaneous ===
 
* [http://www.rubrication.net/2007/04/21/how-a-real-module-system-should-work/ ML, Haskell and Coq]
 
* [http://www.rubrication.net/2007/04/21/how-a-real-module-system-should-work/ ML, Haskell and Coq]
 
* [http://sigfpe.blogspot.com/2006/09/infinitesimal-types.html Infinitesimal Types]
 
* [http://sigfpe.blogspot.com/2006/09/infinitesimal-types.html Infinitesimal Types]
 
* [http://www.alpheccar.org/en/posts/show/70 Djinn, Coq, Monad and a bit of Haskell]
 
* [http://www.alpheccar.org/en/posts/show/70 Djinn, Coq, Monad and a bit of Haskell]
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[[Category:Tutorials]]

Revision as of 07:35, 29 June 2007

Haskell and mathematics. See also the Haskell math community.

Contents

1 Haskell for mathematics

1.1 General

1.2 Calculus and Differential Geometry

1.3 Algebraic Topology and Geometry

1.4 Geometry

1.5 Group Theory

1.6 Set Theory

1.7 Ring Theory

1.8 Number Theory

1.9 Cryptography and Coding Theory

1.10 Logic

1.11 Numerics

2 Theorem Proving

3 Quantum Computing

4 Mathematics of Haskell

4.1 Category Theoretic

4.2 Lambda and Combinator Calculi

4.3 Other Formal Logics

4.4 Miscellaneous