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gnuplot plots 2d and 3d graphs, from a data file or with a formula. It has an interactive mode with online help, or it can be used non-interactively. gnuplot does function fitting to data sets, and it does output to many terminals, among which are PostScript, X11 display, PNG, and GIF (via the old gd library).
Octave is a high-level language, primarily intended for numerical computations. It provides a convenient command line interface for solving linear and nonlinear problems numerically, and for performing other numerical experiments. It may also be used as a batch-oriented language.
Maxima is a Common Lisp implementation of MIT's Macsyma system for computer based algebra. It features plotting over the network via netmath, computations over the network, extensive testing on a large array of problems, a source level debugger for
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maxima code, ease of extension in fundamentally new ways, access to Common Lisp and portability to many systems. [Less]
Sage is mathematical software, very much in the same vein as Matlab, MAGMA, Maple, and Mathematica. Unlike these systems, every component of Sage is GPL-compatible. The interpretaive language of Sage is Python, a mainstream programming language. Use
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Sage for studying a huge range of mathematics, including algebra, calculus, elementary to very advanced number theory, cryptography, numerical computation, commutative algebra, group theory, combinatorics, graph theory, and exact linear algebra.
It is available for download from sagemath.org and its mirrors in source or binary form. If you have any questions and/or problems please report them to the Google groups sage-devel or sage-support. You can also drop by in #sage-devel or #sage-support in freenode. [Less]
The GNU Scientific Library (GSL) is a numerical library for C and C++ programmers.
The library provides a wide range of mathematical routines such as random number generators, special functions and least-squares fitting. There are over 1000 functions in total with an extensive test suite.
The ATLAS (Automatically Tuned Linear Algebra Software) project is an ongoing research effort focusing on applying empirical techniques in order to provide portable performance. It provides C and Fortran77 interfaces to a portably efficient BLAS implementation, as well as a few routines from LAPACK.
Set of open, reliable, math functions in classes (=collections by domains) designed to be used from any project/library, with any data-structure.
In other words, all the things you usually rewrite for each project. But coded with universality in
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mind.
The most important package is the org.openmali.vecmath2 one, which contains an improved vecmath - similar to Sun's vecmath, but better, faster and more convenient. [Less]
KTurtle is an educational programming environment. KTurtle aims to make programming as easy and touchable as possible, and therefore can be used to teach kids the basics of math, geometry and... programming.
The programming language used in KTurtle
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is loosly based on Logo. KTurtle allows, just like some implementations of Logo, to translate the programming language (the commands, the documentation and the error messages) to native language of the programmer. Translating the programming language to the native language of the programmer is one of the many ways KTurtle tries to make learning to programming more simple. Other features to help to achieve this goal are: intuitive syntax highlighting, simple error messages, integrated canvas to make drawings on, integrated help function, ... [Less]
O2scl is an object-oriented library for numerics in C++ useful for solving, minimizing, differentiating, integrating, interpolating, fitting, and more. Classes operate on generic member functions and generic vector types. Includes classes from GSL and CERNLIB.
XMDS is a code generator that integrates equations. You write them down in human readable form in a XML file, and it goes away and writes and compiles a C++ program that integrates those equations as fast as it can possibly be done in your architecture.
MARF is an open-source research platform and a collection of voice/sound/speech/text and natural language processing (NLP) algorithms written in Java and arranged into a modular and extensible framework facilitating addition of new algorithms. MARF
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can run distributedly over the network and may act as a library in applications or be used as a source for learning and extension. [Less]
Math::Symbolic is intended to offer symbolic calculation capabilities to the Perl programmer without using external (to Perl) libraries and/or applications.
It's quite limited in scope. No integration of expressions, for example. However, various
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extensions have been written to allow things like symbolic tree transformations using declarative syntax or compilation to Perl or C code for faster numeric evaluation. [Less]
This is another library for creating and manipulating graphs. There is simply no other graph library out there which can be handle graphs of the size the author is confronted with efficiently. Whenever possible igraph tries to be also user friendly
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and portable.
igraph started as an additional package to the GNU R statistical environment, and still some functions which are hard to implement in C are available only in R (like interactive graphics). Most functions are however now written in C and they can be compiled without R as a separate library. [Less]
mjbWorld is a standards based 3D editor, which can graphically edit and allow users to see and interact with X3D (VRML) and other 3D formats. It is also intended to provide a platform which can be used to experiment with physics, animation, etc. Versions for Java, C++ and C# are included.