• Mathematica

  • Referenced in 3804 articles [sw00554]
  • deployed individual or enterprise solutions. Computer algebra system...
  • Maple

  • Referenced in 3772 articles [sw00545]
  • math, graphics, images, sound, and diagrams. Computer algebra system...
  • Magma

  • Referenced in 1566 articles [sw00540]
  • Computer algebra system (CAS). Magma is a large, well-supported software package designed for computations ... structures such as groups, rings, fields, modules, algebras, schemes, curves, graphs, designs, codes and many ... computational research in those areas of mathematics which are algebraic in nature. The overview provides ... language. Magma is distributed by the Computational Algebra Group at the University of Sydney...
  • GAP

  • Referenced in 1590 articles [sw00320]
  • system for computational discrete algebra, with particular emphasis on Computational Group Theory. GAP provides ... library of thousands of functions implementing algebraic algorithms written in the GAP language as well ... groups and their representations, rings, vector spaces, algebras, combinatorial structures, and more. The system, including ... extend it for your special use. Computer algebra system...
  • SINGULAR

  • Referenced in 882 articles [sw00866]
  • SINGULAR is a Computer Algebra system (CAS) for polynomial computations in commutative algebra, algebraic geometry ... singularity theory. SINGULAR’s main computational objects are ideals and modules over a large variety ... field (e.g., finite fields, the rationals, floats, algebraic extensions, transcendental extensions), or localizations thereof ... SINGULAR features fast and general implementations for computing Groebner and standard bases, including e.g. Buchberger...
  • Macaulay2

  • Referenced in 920 articles [sw00537]
  • supporting research in algebraic geometry and commutative algebra, whose creation has been funded ... since 1992. Macaulay2 includes core algorithms for computing Gröbner bases and graded or multi-graded ... integral closure of rings, and more. Computer algebra system...
  • REDUCE

  • Referenced in 626 articles [sw00789]
  • interactive system for general algebraic computations of interest to mathematicians, scientists and engineers. Computer algebra...
  • SageMath

  • Referenced in 699 articles [sw00825]
  • research and teaching in algebra, geometry, number theory, cryptography, numerical computation, and related areas. Both ... Maple, Mathematica, Magma, and MATLAB. Computer algebra system...
  • MACSYMA

  • Referenced in 662 articles [sw01209]
  • symbolic-numerical-graphical mathematics software product. Computer algebra system ... function), or to perform very complicated computations by means of a large Macsyma program. Macsyma ... numeric manipulation and solution capabilities in algebra, calculus and numerical analysis 2D and 3D report...
  • DLMF

  • Referenced in 565 articles [sw04968]
  • example, or for input to computer algebra systems. These and other problems, and some partially...
  • CoCoA

  • Referenced in 468 articles [sw00143]
  • CoCoA is a system for Computations in Commutative Algebra. It is able to perform simple ... rational functions). For example, it can readily compute Grobner bases, syzygies and minimal free resolution ... user interface common to most platforms. Computer algebra system...
  • NIST

  • Referenced in 424 articles [sw00621]
  • example, or for input to computer algebra systems. These and other problems, and some partially...
  • PARI/GP

  • Referenced in 295 articles [sw00680]
  • PARI/GP is a widely used Computer Algebra System (CAS) designed for fast computations in number ... functions to compute with mathematical entities such as matrices, power series, algebraic or p-adic ... library to allow for faster computations...
  • GeoGebra

  • Referenced in 258 articles [sw04203]
  • Europe and the USA. Quick Facts: Graphics, algebra and tables are connected and fully dynamic ... world. Free and open source software. Computer algebra system...
  • LAPACK

  • Referenced in 1161 articles [sw00503]
  • computation is performed by calls to the Basic Linear Algebra Subprograms (BLAS). LAPACK is designed ... promotes high efficiency on many high-performance computers, particularly if specially coded implementations are provided...
  • CHEVIE

  • Referenced in 141 articles [sw04235]
  • CHEVIE is a computer algebra project for symbolic calculations with generic character tables of groups ... structures. It is based on the computer algebra systems GAP, and MAPLE. Computer algebra system...
  • FORM

  • Referenced in 196 articles [sw09051]
  • Computer algebra system (CAS) for very big calculations in theoretical particle physics, with a very ... supports multiple kernels (see TFORM) and distributed computations on a network (ParFORM). See also...
  • polymake

  • Referenced in 196 articles [sw00724]
  • graphs, tropical objects, and other objects. Computer algebra system...
  • gmp

  • Referenced in 149 articles [sw00363]
  • research, Internet security applications, algebra systems, computational algebra research, etc. GMP is carefully designed...
  • KANT

  • Referenced in 126 articles [sw00481]
  • KASH/KANT is a computer algebra system (CAS) for sophisticated computations in algebraic number fields...