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The list is currently limited to OSS (because of easier research, not because of bias against closed source software). There is no limit regarding programming languages, license or API design. Computer algebra systems (CAS) are included. Function graphing, charts and other visualization as well as very specialized topics like neural network and , cryptography or high energy physics are currently not included. Library for basic calculations only, even for high precision integers and fractions or for vectors and matrices, aren't included either. Maybe this Maybe some will be added later, in separate sections.
Java libraries
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\[http://www.spaceroots.org/software/mantissa/index.html Mantissa\] - linear algebra, least squares, curve fitting, ordinary differential equations integrators, polynomials, random numbers, basic statistical analysis, optimization |
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\[http://hoschek.home.cern.ch/hoschek/colt/ Colt\] (Is this the correct Colt home page?) |
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\[http://jgrapht.sourceforge.net/ JGraphT\] - graph theory |
http://openjgraph.sourceforge.net/
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\[http://sourceforge.net/projects/jung/ Java Universal Network/Graph Framework\] - graph theory, graph layout |
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\[http://jscience.dev.java.net/ JScience.org\] |
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\[http://jpaul.sourceforge.net/ JPaul\] - includes graph theory algorithms |
http://sourceforge.net/projects/math4j/ - somebody should tell this guy he's just reinventing the wheel
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\[http://interval.sourceforge.net/interval/java/ia_math/README.html IA Math\] - interval arithmetic |
C/C++
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\[http://math-atlas.sourceforge.net ATLAS\] - highly optimized BLAS library |
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\[http://www.boost.org/ Boost\] |
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\[http://sourceforge.net/projects/gjrand/ gjrand\] - random number generators and tests |
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\[http://pari.math.u-bordeaux.fr/ pari/pari-gp\] |
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\[http://www.math.uni-augsburg.de/opt/goblin.html Goblin\] - graph theory |
http://pigale.sourceforge.net/
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\[http://sourceforge.net/projects/lpsolve/ lpsolve\] - mixed integer linear programming |
GLPK - linear programming
Python
Numerical Python (URLs TBD)
Transcendentals
CAS, solvers, spreadsheets and similar stuff
GNU Octave
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\[http://scilabsoft.inria.fr/ SciLab\] |
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\[http://sourceforge.net/projects/maxima Maxima\] |
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\[http://savannah.gnu.org/projects/pspp PSPP\] - statiisticalstatistical analysis |
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\[http://sourceforge.net/projects/matheclipse MathEclipse.org\] |
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\[http://wiki.axiom-developer.org/FrontPage (Java)Axiom\] |