CoCoA

Computer algebra system

Not to be confused with Cocoa (API).

CoCoA

Original author(s)| Abbott, J. and Bigatti, A. M. and Robbiano, L.[1]
Initial release| 1988; 37 years ago (1988)[2]
Stable release|

5.4.0 / 11 April 2022; 3 years ago (2022-04-11)[3]

Preview release|

5.4.1j / 21 February 2023; 2 years ago (2023-02-21)[3]

Written in| C++
Operating system| Windows, Linux/Unix, macOS,
Type| Computer algebra system
License| GNU GPL
Website| cocoa.dima.unige.it
CoCoALibOriginal author(s)| Abbott, J. and Bigatti, A. M.[1]

|

Initial release| 9 March 2007; 18 years ago (2007-03-09)[4]
Stable release|

0.99800 / 28 April 2022; 2 years ago (2022-04-28)[5]

Preview release|

0.99718 / 14 February 2022; 3 years ago (2022-02-14)[5]

Written in| C++
Type| Library
License| GNU GPL
Website| cocoa.dima.unige.it

CoCoA (Computations in Commutative Algebra)[6] is a free computer algebra system developed by the University of Genova, Italy, used to compute with numbers and polynomials. The CoCoA Library (CoCoALib[7]) is available under GNU General Public License. CoCoA has been ported to many operating systems including Macintosh on PPC and x86, Linux on x86, Unix x86-64 & PPC, Solaris on SPARC and Windows on x86. CoCoA is mainly used by researchers (see citations at[8] and[9]), but can be useful even for "simple" computations.

CoCoA's features include:

* Very big integers and rational numbers using the GNU Multi-Precision Library
* Multivariate Polynomials
* Gröbner basis
* User interfaces: text; Emacs-based; Qt-based

It is able to perform simple and sophisticated operations on multivariate polynomials and on various data related to them (ideals, modules, matrices, rational functions). For example, it can readily compute Gröbner basis, syzygies and minimal free resolutions, intersection, division, the radical of an ideal, the ideal of zero-dimensional schemes, Poincaré series and Hilbert functions, factorization of polynomials, and toric ideals. The capabilities of CoCoA and the flexibility of its use are further enhanced by the dedicated high-level programming language.

Its mathematical core, CoCoALib, has been designed as an open source C++ library, focussing on ease of use and flexibility.

CoCoALib is based on GNU Multi-Precision Library.

CoCoALib is used by ApCoCoA[10] and NmzIntegrate[11]

## See also

[edit]

* Free and open-source software portal

Wikimedia Commons has media related to Computations in Commutative Algebra.

* List of computer algebra systems
* Standard Template Library

## References

[edit]

1. ^ a b "Citing CoCoA". cocoa.dima.unige.it. Retrieved 2022-07-06.
2. ^ "CoCoA History". cocoa.dima.unige.it. Archived from the original on 1998-01-09. Retrieved 2023-03-09.`{{cite web}}`: CS1 maint: bot: original URL status unknown (link)
3. ^ a b "CoCoA 5 Release Notes". cocoa.dima.unige.it. Retrieved 2022-07-06.
4. ^ "CoCoALib Beta Archive". cocoa.dima.unige.it. Archived from the original on 2007-04-26. Retrieved 2023-03-09.
5. ^ a b "CoCoALib". cocoa.dima.unige.it. Retrieved 2022-07-06.
6. ^ "CoCoA website".
7. ^ "CoCoALib home page".
8. ^ "CoCoA - Mathematical software - swMATH".
9. ^ "CoCoA in GoogleScholar".
10. ^ "ApCoCoA website".
11. ^ "Normaliz website". Archived from the original on 2015-12-08. Retrieved 2014-05-22.

## External links

[edit]

* Official website
* ApCoCoA, an extension of CoCoA

* v
* t
* e

Computer algebra systems

Open-source|

* Axiom
* Cadabra
* CoCoA
* Fermat
* FriCAS
* FORM
* GAP
* GiNaC
* Macaulay2
* Maxima
* Normaliz
* PARI/GP
* REDUCE
* SageMath
* Singular
* SymPy
* Xcas/Giac
* Yacas

Proprietary|

* ClassPad Manager
* KANT
* Magma
* Maple
* Mathcad
* Mathematica
* muPAD (MATLAB symbolic math toolbox)
* SMath Studio
* TI InterActive!
* Engineering Equation Solver

Discontinued|

* CAMAL
* Derive
* Erable
* LiveMath
* Macsyma
* Mathomatic
* muMATH
* ALTRAN

* Category
* List

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