Mathematical software
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Mathematical software is software used to model, analyze or calculate numeric, symbolic or geometric data.
Mathematical software is software used to model, analyze or calculate numeric, symbolic or geometric data.
Evolution of mathematical software
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 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 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
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. DeskCalc Desmos Mac OS calculator Calculator (Nintendo Switch) GeoGebra GNOME Calculator GraphCalc KCalc Qalculate! Windows Calculator WRPN Calculator xcalc
Computer algebra systems
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
Cryptography
Botan Bouncy Castle BSAFE cryptlib Crypto++ GnuTLS JCA / JCE Libgcrypt libsodium Mbed TLS NaCl Nettle NSS OpenSSL wolfCrypt
Statistics
Theorem provers and proof assistants
Proof assistants
ACL2 Agda Albatross ETPS F* HOL theorem prover HOL Light HOL4 Isabelle Jape Lean LEGO Matita Metamath MINLOG Mizar Nqthm NuPRL PhoX PVS Rocq Theorem Proving System Twelf
Geometry
Archimedes Geo3D Cabri Geometry CaRMetal Cinderella Dr. Geo GeoGebra Geometry Expert GEUP Kig KSEG The Geometer's Sketchpad TracenPoche WIRIS
Numerical analysis
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
Music mathematics software utilizes mathematics to analyze or synthesize musical symbols and patterns. jMusic Musimat (by Gareth Loy) OpenMusic Opusmodus Rubato Composer SuperCollider UPIC
Physics
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
Websites
A growing number of mathematical software is available in web browsers, without the need to download or install any code. Desmos GeoGebra Google Colaboratory Jupyter Notebook Kaggle KaTeX OpenPlaG Overleaf SageMath – CoCalc Symbolab WolframAlpha
Biomathematics
List of bioinformatics software Biostatistics software List of systems biology modeling software List of systems biology visualization software
Mathematical chemistry
List of quantum chemistry and solid-state physics software Comparison of software for molecular mechanics modeling
Mathematical modeling and simulations
Conway's Game of Life
Mathematical and numerical libraries
Mathematical art software
Apophysis Electric Sheep Fractint Fyre Mandelbulb MilkDrop openPlaG Ultra Fractal XaoS R, R Mandelbrot sets Sterling Bryce Picogen Terragen GeoGebra Desmos Grapher Winplot Processing Grasshopper 3D P5.js matplotlib gnuplot Inkscape spirograph Wolfram Mathematica Houdini MATLAB TouchDesigner Unity (with math plugins) LaTeX (PGF/TikZ, PGFPlots) Manim D3.js
See also
Computational mathematics Comparison of formula editors Gödel's incompleteness theorems List of information graphics software List of MATLAB software and tools List of open-source software for mathematics Mathlete MathOverflow Plot (graphics) Time complexity
References
External links
swMATH Database on mathematical software
Text derived from https://en.wikipedia.org/w/index.php?oldid=1375704419 under CC BY-SA 4.0; modifications have been made.