GAP

GAP is an open-source computer algebra system for computational discrete algebra, with particular emphasis on computational group theory. It provides a programming language, a library of thousands of functions implementing algebraic algorithms, and extensive documentation.

GAP alternatives ➤

What is GAP?

Some key features of GAP include:

Specialized capabilities for working with groups, including permutation groups, matrix groups, finitely presented groups and more
Extensive library of group theoretic functions for tasks like testing properties of groups, calculating presentations, centralizers, normalizers, cohomology groups, and more
Programming language designed specifically for symbolic computation, with a simple syntax
Interactive environment for prototyping algorithms and exploring algebraic structures
Interfaces to many proof assistants and CAS systems to leverage their capabilities
Hundreds of contributed share packages implementing extra functionality
Active international community of developers and users in academia and industry

Overall, GAP is well-suited for research and teaching in abstract algebra and discrete mathematics more broadly. With its domain-specific language and extensive library, it allows rapid development of computational experiments to test conjectures, illustrate theoretical concepts, and explore the world of groups, rings, fields and more.

Official Links

Official Website
www.gap-system.org

The Best GAP Alternatives

Top Apps like GAP

Mathematica, MATLAB, Maple, GNU Octave, Maxima, SageMath, wxMaxima, OpenAxiom, Xcos, Cadabra, SymbolicC++ are some alternatives to GAP.

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Mathematica

Mathematica is a computational software program developed by Wolfram Research. It is used for symbolic and numerical mathematics, data visualization, image processing, and a wide range of technical computing applications.Some key features of Mathematica include:A symbolic algebra engine that can manipulate mathematical expressions, solve equations, simplify expressions, compute...

MATLAB

MATLAB (matrix laboratory) is a multi-paradigm numerical computing environment and proprietary programming language developed by MathWorks. MATLAB allows matrix manipulations, plotting of functions and data, implementation of algorithms, creation of user interfaces, and interfacing with programs written in other languages.Some key features of MATLAB include:Matrix and array-oriented language...

Maple

Maple is a proprietary computer algebra system or CAS designed for mathematical computation and modeling. It was first developed in 1980 by the Symbolic Computation Group at the University of Waterloo in Canada.Some of the key capabilities Maple offers include:Algebraic manipulation - simplify expressions, solve equations, factor polynomials, compute...

GNU Octave

GNU Octave is an open-source mathematical programming language and environment that is compatible with MATLAB. It allows users to perform numerical computations, data manipulation and visualization, and other mathematical tasks. Some key features of GNU Octave include:An extensive library of mathematical functions for linear algebra, differential equations, optimization, statistics...

Maxima

Maxima is a feature-rich open source computer algebra system that provides capabilities for symbolic computation and mathematical modeling. First released in 1968, Maxima descends from DOE Macsyma, one of the oldest such systems still in use and development today.Some of the key features and capabilities of Maxima include:Symbolic manipulation...

SageMath

SageMath is an open-source mathematics software system that provides a viable free open source alternative to Magma, Maple, Mathematica and MATLAB. It is based on Python and implements a huge range of mathematics functionality including:Algebra - including commutative algebra, group theory, combinatorics, graph theory, exact linear algebra, and moreCalculus...

WxMaxima

wxMaxima is a cross-platform and open source graphical user interface for the computer algebra system Maxima. It allows users to access Maxima's powerful symbolic and numerical capabilities through a simple, intuitive interface without needing to learn Maxima's command line syntax.Some key features and capabilities of wxMaxima include:Symbolic manipulations...

OpenAxiom

OpenAxiom is an open-source computer algebra system for symbolic and algebraic computation. It provides capabilities for algebra, calculus, statistics, numerical analysis, graphics, proof-assistants, and more. OpenAxiom originated from IBM's Scratchpad II in the 1970s and was later sold as Axiom. In 2001, it was released as an open-source project under the...

Xcos

Xcos is an open-source software specialized in the simulation of dynamical systems, offering modeling and simulation features specifically oriented towards control systems. It is developed as a graphical user interface module for Scilab, the open source platform for numerical computation.Some key features of Xcos include:Block diagram model editor...

Cadabra

Cadabra is an open-source computer algebra system designed specifically for advanced theoretical physics computations involving tensor polynomial simplifications. It has a modern C++ codebase focused on flexibility, extensibility and understandability.Some key features of Cadabra include:Symbolic tensor manipulation, with support for abstract and component indicesComputation and simplification of tensor...

SymbolicC++

SymbolicC++ is an open-source, mathematical programming language that is syntactically similar to C++. It allows users to write programs using mathematical notation instead of traditional programming syntax.Some key features of SymbolicC++ include:Supports common mathematical operations like derivatives, integrals, matrices, etc. Users can write programs using actual mathematical symbols...