PARI/GP is a widely used computer algebra system designed for fast computations in number theory e.g factorizations, algebraic number theory.
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Category: Scientific
SageMath – open source Python mathematics software system
SageMath is a computer algebra system written in Python and Cython and integrates an included distribution of specialized mathematics.
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Axiom – general purpose computer algebra system
Axiom is a general purpose computer algebra system.Axiom is useful for research and development of mathematical algorithms.
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SymPy – Python library for symbolic mathematics
SymPy is an open source Python library for symbolic mathematics. It aims to become a full-featured computer algebra system (CAS).
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Maxima – computer algebra system
Maxima is a system for the manipulation of symbolic and numerical expressions, including differentiation, integration, Taylor series…
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Scilab – software for numerical computation
Scilab includes hundreds of mathematical functions. It has a high level programming language allowing access to advanced data structures.
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Octave – scientific programming language
Octave is a high-level language, primarily intended for numerical computations.It provides a convenient command line interface.
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15 Best Free and Open Source Linux Computer Algebra Systems
A computer algebra system (CAS) is mathematical software that can manipulate mathematical formulae in a way similar to the traditional manual computations of mathematicians and scientists.
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Mathics – alternative to Mathematica
Mathics is a general-purpose computer algebra system (CAS). It features Mathematica-compatible syntax and functions.
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FORM – Symbolic Manipulation System
FORM is a Symbolic Manipulation System. It reads symbolic expressions from files and executes symbolic/algebraic transformations upon them.
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Cadabra – symbolic computer algebra system for field theory problems
Cadabra is a symbolic computer algebra system (CAS) designed specifically for the solution of problems encountered in field theory.
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Macaulay2 – supporting research in algebraic geometry and commutative algebra
Macaulay 2 is a computer algebra system devoted to supporting research in algebraic geometry, commutative algebra, and their applications.
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GAP – system for computational discrete algebra
GAP is a system for computational discrete algebra, with particular emphasis on Computational Group Theory.
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FriCAS – advanced computer algebra system
FriCAS is an advanced, open source, computer algebra system, a self-contained toolbox ranging from calculus to abstract algebra.
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CoCoA – Computations in Commutative Algebra
CoCoA is an open source interactive system for doing computations in commutative algebra. CoCoALib is a C++ library.
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