# Category/Mathematics/symbolic

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## Category/Mathematics

*symbolic* (9)

- GiNaC
- GiNaC is an acronym for GiNaC Is Not A CAS, where CAS stands for Computer Algebra System. It lets the user create integrated systems that embed symbolic manipulations together with more established areas of computers sciences under one roof. It has been specifically developed to become a replacement engine for xloops. However, it is not restricted to high energy physics applications. Its design is revolutionary in that contrary to other CAS it does not try to provide extensive algebraic capabilities and a simple programming language but instead accepts a given language (C++) and extends it by a set of algebraic capabilities.

- Giac
- Giac/Xcas is a free computer algebra system. It has a compatibility mode for maple, mupad and the TI89. It is available as a standalone program (graphic or text interfaces) or as a C++ library.

- Jacal
**JACAL**is an interactive symbolic math program that can manipulate and simplify equations, scalars, vectors, and matrices of single and multiple valued algebraic expressions containing numbers, variables, radicals, and algebraic differential, and holonomic functions.

- MathEOS
- This is a text editor for writing math lessons and providing tools for doing all the exercises from elementary school to junior high. The software is especially designed to fulfil the needs of disabled pupils, and pupils suffering from dyspraxia in particular. The program manages the child's documents like a notebook, organized with chapters, and separating lessons, exercises and evaluations, making it very easy to navigate through the documents.

- MathGene
- MathGene is a comprehensive JavaScript mathematics engine that delivers the ability to perform advanced numerical and symbolic mathematics processing of LaTeX expressions and send the output to pure HTML for rendering on a conventional web browser or via web server. MathGene has two modules: •mg_translate.js, which translates between LaTeX, HTML, and native MG format. •mg_calculate.js, which performs the calculations. mg_translate.js can be used without mg_calculate.js to perform mathematics rendering only. Both modules are required to perform calculations.

- MathStudio
- 'MathStudio' is a project intended to make typing and resolution of mathematical expressions easier and more comfortable. Many other programs like this force the user to write input data using one row only (everything is typed at the same level, exponents and bases are on the same row) and use a lot of brackets to make the operation order explicit. Since this is very different from the math you do manually, the aim of this project is to reduce this gap providing both cross-platform libraries which can be embedded in other programs and a program, MathStudio, which demonstrates their usage.

- Mathomatic
- 'Mathomatic' is a small, portable, general purpose symbolic math program that can solve, simplify, combine, differentiate, and compare algebraic equations. It can do standard, complex number, and polynomial arithmetic, and is designed to be as general as possible, with few options.

- Maxima
**Maxima**is a fairly complete computer algebra system written in lisp with an emphasis on symbolic computation. It is the Common Lisp implementation of MIT's Macsyma system for computer based algebra.

- Sage
- SAGE is a framework for number theory, algebra, and geometry computation that is initially being designed for computing with elliptic curves and modular forms. The long-term goal is to make it much more generally useful for algebra, geometry, and number theory. SAGE provides a (Python) interpreter interface to several important C/C++ libraries:
- MPFR -- real number arithmetic,
- NTL -- Victor Shoup's number theory library,
- GMP -- arbitrary precision integer and floating point arithmetic package.

- These systems come with SAGE, and there is an interface to each:
- GAP -- group theory and combinatorics
- PARI -- algebraic number theory
- Singular -- polynomial computations and algebraic geometry
- Maxima -- symbolic algebra

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