...

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 some will be added later, in separate sections.

Java libraries

Wiki Markup\[http://www.spaceroots.org/software/mantissa/index.html Mantissa\] - linear algebra, least squares, curve fitting, ordinary differential equations integrators, polynomials, random numbers, basic statistical analysis, optimization

HartMath

Colt - Open Source Libraries for High Performance Scientific and Technical Computing in Java.

JGraphT - graph theory

Wiki Markup\[http://openjgraph.sourceforge.net/projects/hartmath HartMath\] Wiki Markup\[http://hoschek.home.cern.ch/hoschek/colt/ Colt\] (Is this the correct Colt home page?)

Java Universal Network/Graph Framework - graph theory, graph layout

JScience.org

JPaul - includes graph theory algorithms

http://jgrapht.sourceforge.net/http:projects//openjgraph.sourceforge.net/

\[http://jscience.dev.java.net/ JScience.org\]

math4j/ - somebody should tell this guy he's just reinventing the wheel

IA Math - interval arithmetic

C/C++

...

\[http://math-atlas.sourceforge.net ATLAS\] - highly optimized BLAS library

Gnu Scientific Library (gsl?)

Wiki Markup\[http://www.boost.org/ Boost\] Wiki Markup

gjrand - random number generators and tests

pari\[http://pari.math.u-bordeaux.fr/ pari/pari-gp\]

Wiki Markup\[http://www.ginac.de/ GiNAC\] Wiki Markup

\[http://www.math.uni-augsburg.de/opt/goblin.html Goblin\] - graph theory

http://pigale.sourceforge.net/

lpsolve - mixed integer linear programming

GLPK - linear programming

Python

Numerical Python (URLs TBD)

Transcendentals

CAS

...

, solvers, spreadsheets and similar stuff

GNU Octave

SciLab

Maxima

Yacas

R

\[http://sourceforge.net/projects/maxima Maxima\]

\[http://sourceforge.net/projects/yacas Yacas\]

Wiki Markup\[http://www.r-project.org/ R\]

http://sourceforge.net/projects/jscl-meditor Wiki Markup

\[http://savannah.gnu.org/projects/pspp PSPP\] - statiistical analysis Wiki Markup\[http://sourceforge.net/projects/matheclipse MathEclipse.org (Java)\] - statistical analysis

MathEclipse.org

Axiom