Mathematical software
Mathematical software is software used to model, analyze or calculate numeric, symbolic or geometric data.[1]
Evolution of mathematical software
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Mathematical knowledge of techniques such as algorisms which existed before the invention of the electronic computer, helped to develop mathematical software. On the other hand, due to the growth of computing power (such as Moore's law), the new treatment (for example, a new kind of technique such as data assimilation which combined numerical analysis and statistics) needed the progress of the mathematical science or applied mathematics.
The progress of mathematical information presentation such as TeX or MathML[2] will demand to evolution form formula manipulation language to true mathematics manipulation language (not withstanding the problem that whether mathematical theory is inconsistent or not). And popularisation of general purpose mathematical software, special purpose mathematical software[3] so called one purpose software which use special subjects will adapt for environmental progress at the normalisation of the platform, keeping the diversity of mathematical software.
Software calculator
[edit]A software calculator allows the user to perform simple mathematical operations, like addition, multiplication, exponentiation and trigonometry. Data input is typically manual, and the output is a text label.
Educational mathematics software
[edit]Mathematical education video games
[edit]Computer algebra systems
[edit]Many mathematical suites are computer algebra systems that use symbolic mathematics. They are designed to solve classical algebra equations and problems in human readable notation.
- Axiom
- Cadabra
- FriCAS
- GAP
- GNU Octave
- Magma
- Magnus
- Maple
- Mathcad
- Mathematica
- Mathomatic
- Maxima
- PARI/GP
- REDUCE
- SageMath
- Scilab
- SMath Studio
- Symbolic Math Toolbox (MATLAB)
- SymPy
- Wolfram Alpha
- Xcas / Giac
- Yacas
Solvers
[edit]A solver is a piece of mathematical software, possibly in the form of a stand-alone computer program or as a software library, that 'solves' a mathematical problem. A solver takes problem descriptions in some sort of generic form and calculates their solution. In a solver, the emphasis is on creating a program or library that can easily be applied to other problems of similar type.
Equation solvers
[edit]Optimization software
[edit]Statistics
[edit]Statistical software
[edit]- ADaMSoft
- ADMB
- Alt-Ergo
- Alteryx
- Analytica
- Angoss
- ASReml
- BMDP
- BV4.1
- CARINE
- Chronux
- CSPro
- DAP
- Dataplot
- DataGraph
- EViews
- FAME
- Fityk
- GAUSS
- GeoDA
- Genedata
- GenStat
- GLIM
- GNU Octave
- GraphPad InStat
- GraphPad Prism
- gretl
- Igor Pro
- IMSL Numerical Libraries
- jamovi
- JASP
- JMulTi
- JMP
- KNIME
- LabPlot
- LIBSVM
- LIMDEP
- LISREL
- MATLAB
- Mathematica
- MedCalc
- MINUIT
- Minitab
- MLwiN
- Mondrian
- NAG Numerical Library
- NCSS
- Neural Designer
- NLOGIT
- nQuery Sample Size Software
- O-Matrix
- OpenBUGS
- OpenEpi
- OpenMx
- OpenNN
- Orange
- OriginPro
- Pandas
- PASS Sample Size Software
- Perl Data Language
- Ploticus
- Primer-E Primer
- PSPP
- PV-WAVE
- Qlucore
- RapidMiner
- R
- RATS
- ROOT
- Salstat
- S-PLUS
- SAS
- Scilab
- SciPy
- Shogun (toolbox)
- Simfit
- SOCR
- SOFA Statistics
- SPSS
- SPSS Modeler
- Stan
- StatCrunch
- Statgraphics
- Statistica
- StatsDirect
- StatXact
- Stata
- SYSTAT
- TOPCAT
- Torch
- WarpPLS
- Weka
- WinBUGS
- Winpepi
- Wolfram Language
- World Programming System
- X-13ARIMA-SEATS
- XploRe
Theorem provers and proof assistants
[edit]Proof assistants
[edit]Theorem provers
[edit]Geometry
[edit]Numerical analysis
[edit]The Netlib repository contains various collections of software routines for numerical problems, mostly in Fortran and C. Commercial products implementing many different numerical algorithms include the IMSL, NMath and NAG libraries; a free alternative is the GNU Scientific Library. A different approach is taken by the Numerical Recipes library, where emphasis is placed on clear understanding of algorithms.
Many computer algebra systems (listed above) can also be used for numerical computations.
Music mathematics software
[edit]Music mathematics software utilizes mathematics to analyze or synthesize musical symbols and patterns.
- jMusic
- Musimat (by Gareth Loy)[4]
- OpenMusic
- Opusmodus
- Rubato Composer
- SuperCollider
- UPIC
Physics
[edit]Plotting and charting
[edit]Websites
[edit]A growing number of mathematical software is available in web browsers, without the need to download or install any code.[5]
Mathematical and numerical libraries
[edit]C
[edit]C++
[edit]Open-source
[edit]Fortran
[edit]Java
[edit].NET
[edit]Perl
[edit]Open-source
[edit]Python
[edit]Open-source
[edit]List of mathematical software
[edit]Mathematical notation software
[edit]Spreadsheet software
[edit]Mathematical art software
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Artificial intelligence for mathematics
[edit]- AlphaDev – algorithm discovery
- AlphaEvolve – mathematical and algorithm discovery
- AlphaGeometry – geometry problem solving
- AlphaTensor – matrix multiplication discovery
- FunSearch – mathematical discovery
- Ramanujan machine – conjecture discovery
See also
[edit]References
[edit]- ↑ See, e.g., the editorial charter of the ACM Transactions on Mathematical Software or the problem taxonomy of the National Institute of Standards and Technology Guide to Available Mathematical Software (both retrieved 2015-02-15).
- ↑ Both MathML and TeX may be only simple a kind of computer language which enable also to present the mathematical formula. However they also may be the mathematical software if the term of software interpreted as whole technology on how to use computer, at most wide sense.
- ↑ Included your written script code on the general purpose mathematical software.
- ↑ Musimathics website, freeware download
- ↑ Internet Accessible Mathematical Computation Archived 2017-06-28 at the Wayback Machine, Institute for Computational Mathematics, Kent State University, retrieved 2015-02-15.
- ↑ "Ultimate Math Library: Utilities Tools". Unity Asset Store.
- ↑ "Math Equation Writer – GUI Tools". Unity Asset Store. Retrieved 2025-08-06.
- ↑ "MathPlus Library: Game Toolkits". Unity Asset Store.
- ↑ "Smithy Procedural Generation Framework".
- ↑ "NeuroFractals Pack – 3D Environments". Unity Asset Store. Retrieved 2025-08-06.
External links
[edit]- swMATH Database on mathematical software
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