KSEG is a program for exploring Euclidean geometry, similar to Geometer's Sketchpad. It features points, lines, transformations, measurements, calculations, simple editable recursive Constructions (similar to macros), adaptively sampled loci, and selection groups. Several languages are supported. KSEG is very fast, stable, and has an efficient and consistent UI. It uses Qt and does not require KDE.
LinAl was designed to bring together C++ and FORTRAN. At the same time LinAl is supposed to be easy to use, fast, and reasonably safe. The LinAl library is based on STL techniques and uses STL containers for the storage of matrix data and STL algorithms where feasible. Low level, algebraic operators, linear solvers, and eigenvalue solvers are implemented, based on calls to BLAS, LAPACK, and CGSOLX.
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 maxima code, ease of extension in fundamentally new ways, access to Common Lisp and portability to many systems.
Mandelbrot Cellular Automaton Combines features of the Mandelbrot set and Conway's Game of Life. Displays snapshots of the Mandelbrot set at each stage of calculation; optionally includes interference from neighbouring cells (pixels) for a nonlinear and somewhat unpredictable result. Options are set at compile time. Most suitable for fractal or cellular automata enthusiasts; also visually interesting.
Newmat, a C++ matrix library, is intended for scientists and engineers who need to manipulate a variety of types of matrices using standard matrix operations. The library includes the operations *, +, -, concatenation, inverse, transpose, conversion between types, submatrix, determinant, Cholesky decomposition, QR triangularisation, singular value decomposition, eigenvalues of a symmetric matrix, sorting, fast Fourier and trig. transforms, printing, and an interface with Numerical Recipes in C.