SAGE

SAGE is a computer algebra system that covers many areas of mathematics, including algebra, combinatorics, computational mathematics, and matanalysis.

Features

• A notebook interface for viewing and reusing typed commands and results, including graphs and text annotations, accessible from most modern web browsers. A secure HTTPS connection is available when confidentiality is important. Sage can also be run locally or remotely.
• Command line based input interface using multiparadigm Python language.
• Support for parallel computing using both multicore processors and multiprocessor systems and distributed computing systems.
• Matanalysis is implemented based on Maxima and SymPy systems.
• Linear algebra is implemented based on GSL, SciPy and NumPy systems.
• Libraries of elementary and special mathematical functions.
• Plane and three-dimensional plots for functions and data.
• Tools for matrices and arrays with sparse array support.
• Various statistical function libraries that make use of R and SciPy functionality.
• A set of tools for adding your own user interface to calculations and applications.[3]
• Tools for image processing using pylab and Python.
• Tools for graph theory visualization and analysis.
• Procedures for importing and exporting various data formats: images, video, audio, CAD, GIS, documents, and medical formats.
• Support for complex numbers, symbolic and arbitrary-precision calculations.
• Preparation of scientific and technical documentation using a formula editor and the ability to embed Sage into LaTeX documentation.[4]
• Networking tools for connecting to SQL databases, support for network protocols including HTTP, NNTP, IMAP, SSH, IRC, FTP.
• Software interfaces for Mathematica, Magma, and Maple.