O super software matemático

Sage - Open Source Mathematics Software

A idéia do projeto Sage é unir diversos softwares sobre uma mesma interface (em Python) e com isso combinar funcionalidades. A lista de componentes é impressionante:

• ATLAS: Automatically Tuned Linear Algebra Software
• BLAS: Basic Fortan 77 linear algebra routines
• Bzip2: High-quality data compressor
• Cddlib: Double Description Method of Motzkin
• Common Lisp: Multiparadigm and general-purpose programming language
• CVXOPT: Convex optimization, linear programming, least squares, etc.
• Cython: C-Extensions for Python
• Docutils: an open-source text processing system for processing plaintext documentation into useful formats, such as HTML or LaTeX. It includes reStructuredText, the easy to read, easy to use, what-you-see-is-what-you-get plaintext markup language.
• mwrank: mwrank is a program for computing Mordell-Weil groups of elliptic curves over Q via 2-descent. Since November 2007 mwrank has formed part of the eclib package which is included in Sage.
• F2c: Converts Fortran 77 to C code
• Flint: Fast Library for Number Theory
• FpLLL: Euclidean lattice reduction
• FreeType: A Free, High-Quality, and Portable Font Engine
• G95: Open source Fortran 95 compiler
• GAP: Groups, Algorithms, Programming
• GD: Dynamic graphics generation tool
• Genus2reduction: Curve data computation
• Gfan: Gröbner fans and tropical varieties
• Givaro: C++ library for arithmetic and algebra
• GMP-ECM: Elliptic Curve Method for Integer Factorization
• GNU TLS: Secure networking
• GSL: Gnu Scientific Library
• Jinja: state of the art, general purpose template engine
• JsMath: JavaScript implementation of LaTeX
• IML: Integer Matrix Library
• IPython: Interactive Python shell
• LAPACK: Fortan 77 linear algebra library
• Lcalc: L-functions calculator
• Libgcrypt: General purpose cryptographic library
• Libgpg-error: Common error values for GnuPG components
• libpng: Bitmap image support
• Linbox: C++ linear algebra library
• M4RI: Linear Algebra over GF(2)
• Matplotlib: Python plotting library
• Maxima: computer algebra system
• Mercurial: Revision control system
• MoinMoin Wiki
• MPFI: Multiple Precision Floating-point Interval library
• MPFR: C library for multiple-precision floating-point computations with correct rounding
• MPIR: Multiple Precision Integers and Rationals
• ECLib:Cremona's Programs for Elliptic curves
• NetworkX: Graph theory
• NTL: Number theory C++ library
• Numpy: Numerical linear algebra
• OpenCDK: Open Crypto Development Kit
• OpenOpt: Integrates solvers for numerical optimization into a single common Python-based framework.
• PALP: A Package for Analyzing Lattice Polytopes
• PARI/GP: Number theory calculator
• Pexpect: Pseudo-tty control for Python
• PolyBoRi: Polynomials Over Boolean Rings
• PyCrypto: Python Cryptography Toolkit
• Python: Interpreted language
• Pynac: Symbolic manipulation with Python objects (based on GiNaC)
• Qd: Quad-double/Double-double Computation Package
• R: Statistical Computing
• Readline: Line-editing
• Rpy: Python interface to R
• Scipy: Python library for scientific computation
• Singular: fast commutative and noncommutative algebra
• Scons: Software construction tool
• Sphinx: Python Documentation Generator
• SQLAlchemy: The Python SQL Toolkit and Object Relational Mapper
• SQLite: Relation database
• Sympow: L-function calculator
• Symmetrica: Representation theory
• Sympy: Python library for symbolic computation
  • mpmath: Mpmath is a pure-Python library for multiprecision floating-point arithmetic.
• Tachyon: lightweight 3d ray tracer
• Termcap: Simplifies the process of writing portable text mode applications
• Twisted: Python networking library
• Weave: Tools for including C/C++ code within Python
• Zlib: Data compression library
• ZODB: Object-oriented database

Resumindo - Matemática simbólica, numérica e análise estatística (o R faz parte) em um mesmo programa. Fascinante.