Mathematical software

From Wikipedia, the free encyclopedia
Jump to navigation Jump to search

Mathematical software is software used to model, analyze or calculate numeric, symbolic or geometric data.[1]

Evolution of mathematical software

[edit | edit source]

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.

Solvers

[edit | edit source]
section excerpt Solver.[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.

Software calculator

[edit | edit source]
Main article: Software calculator
See also: List of software calculators

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.

Computer algebra systems

[edit | edit source]
Main article: List of 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.

Cryptography

[edit | edit source]

Statistics

[edit | edit source]
See also: List of statistical software, List of data science software, Data analysis software, and Comparison of statistical packages

Theorem provers and proof assistants

[edit | edit source]
Main articles: List of theorem provers and List of proof assistants

Optimization software

[edit | edit source]
Main article: List of optimization software

Geometry

[edit | edit source]
Main articles: List of interactive geometry software and List of information graphics software

Numerical analysis

[edit | edit source]
See also: List of numerical-analysis software, List of numerical analysis programming languages, Comparison of numerical-analysis software, and List of optimization software

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 | edit source]
Main article: List of music software
See also: Music and mathematics

Music mathematics software utilizes mathematics to analyze or synthesize musical symbols and patterns.

Physics

[edit | edit source]
See also: List of computational physics software, Open-source physics software, and Computational physics

Plotting and charting

[edit | edit source]
See also: Plotting software, Free plotting software, List of information graphics software, List of charting software, Comparison of JavaScript charting libraries, and Diagramming software

Websites

[edit | edit source]

A growing number of mathematical software is available in web browsers, without the need to download or install any code.[5]

Biomathematics

[edit | edit source]
See also: Computational Biology and Biophysics

Mathematical chemistry

[edit | edit source]

Mathematical modeling and simulations

[edit | edit source]
See also: List of computer simulation software

Programming libraries

[edit | edit source]
See also: List of numerical libraries, Comparison of linear algebra libraries, and List of automated theorem provers

Low-level mathematical libraries intended for use within other programming languages:

List of mathematical software

[edit | edit source]
See also: Comparison of software calculators, List of open-source software for mathematics, and List of charting software

Mathematical notation software

[edit | edit source]
See also: Mathematical notation, Typesetting, and Comparison of TeX editors

Mathematical art software

[edit | edit source]
Main article: List of mathematical art software

Mathematical education software

[edit | edit source]

See also

[edit | edit source]

References

[edit | edit source]
  1. ^ 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).
  2. ^ 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.
  3. ^ Included your written script code on the general purpose mathematical software.
  4. ^ Musimathics website, freeware download
  5. ^ Internet Accessible Mathematical Computation, Institute for Computational Mathematics, Kent State University, retrieved 2015-02-15.
  6. ^ Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).
  7. ^ Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).
  8. ^ Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).
  9. ^ Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).
  10. ^ Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).
[edit | edit source]
  • swMATH Database on mathematical software

Lua error in Module:Authority_control at line 153: attempt to index field 'wikibase' (a nil value).

Retrieved from "http://70.231.62.181/index.php?title=Mathematical_software&oldid=5283498"