Mathematical software
Template:Short description Mathematical software is software used to model, analyze or calculate numeric, symbolic or geometric data.[1]
Evolution of mathematical software
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Numerical analysis and symbolic computation had been in most important place of the subject, but other kind of them is also growing now. A useful mathematical knowledge of such as algorism which exist before the invention of electronic computer, helped to mathematical software developing. On the other hand, by the growth of computing power (such as seeing on Moore's law), the new treatment (for example, a new kind of technique such as data assimilation which combined numerical analysis and statistics) needing conversely 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 (notwithstanding the problem that whether mathematical theory is inconsistent or not). And popularization of general purpose mathematical software, special purpose mathematical software[3] so called one purpose software which used special subject will alive with adapting for environment progress at normalization of platform. So the diversity of mathematical software will be kept.
Software calculator
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Educational mathematics software
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Mathematical education video games
Computer algebra systems
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- 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
Equation solvers
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Optimization software
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SMT solvers
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Statistics
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Statistical software
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- 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
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Proof assistants
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Theorem provers
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Geometry
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Numerical analysis
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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
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- jMusic
- Musimat (by Gareth Loy)[4]
- OpenMusic
- Opusmodus
- Rubato Composer
- SuperCollider
- UPIC
Physics
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- Comparison of electromagnetic simulation software
- List of cosmological computation software
- List of computational fluid dynamics software
- List of software for Monte Carlo molecular modeling
Plotting and charting
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Websites
A growing number of mathematical software is available in web browsers, without the need to download or install any code.[5]
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- List of bioinformatics software
- Biostatistics software
- List of systems biology modeling software
- List of systems biology visualization software
- List of quantum chemistry and solid-state physics software
- Comparison of software for molecular mechanics modeling
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Mathematical and numerical libraries
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C
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Open-source |
Proprietary
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C++
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Open-source
- Adept
- Advanced Simulation Library
- Armadillo
- Blitz++
- Boost.uBLAS
- CGAL
- Class Library for Numbers
- deal.II
- Eigen
- GetFEM++
- IML++
- IT++
- LAPACK++
- Matrix Template Library
- MFEM
- Multiple Precision Integers and Rationals
- Number Theory Library
- SU2 code
- Template Numerical Toolkit
- Trilinos
Fortran
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Open-source |
Proprietary
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Java
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Open-source |
Proprietary
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.NET
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Open-source |
Proprietary
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Perl
Open-source
Python
Open-source
List of mathematical software
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Mathematical notation software
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Spreadsheet software
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Mathematical art software
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See also
- Computational mathematics
- Comparison of formula editors
- Gödel's incompleteness theorems
- List of information graphics software
- List of MATLAB software and tools
- Mathlete
- MathOverflow
- Plot (graphics)
- Time complexity
References
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- ^ 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 Script error: No such module "webarchive"., Institute for Computational Mathematics, Kent State University, retrieved 2015-02-15.
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External links
- swMATH Database on mathematical software
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