Mathematical software issoftware used tomodel, analyze or calculate numeric, symbolic or geometric data.[1]
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Numerical analysis andsymbolic 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 asalgorism which exist before theinvention ofelectronic computer, helped to mathematical software developing. On the other hand, by the growth ofcomputing power (such as seeing onMoore's law), the new treatment (for example, a new kind of technique such asdata assimilation which combined numerical analysis andstatistics) needing conversely the progress of themathematical science orapplied mathematics.
The progress of mathematical information presentation such asTeX orMathML[2] will demand to evolution formformula manipulation language to truemathematics manipulation language (notwithstanding the problem that whethermathematical theory is inconsistent or not). And popularization of general purpose mathematical software, special purpose mathematical software[3] so calledone 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.
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.
Many mathematical suites arecomputer algebra systems that usesymbolic mathematics. They are designed to solve classical algebra equations and problems in human readable notation.
Many tools are available for statistical analysis of data. See alsoComparison of statistical packages.
TheNetlib repository contains various collections of software routines for numerical problems, mostly inFortran andC. Commercial products implementing many different numerical algorithms include theIMSL,NMath andNAG libraries; a free alternative is theGNU Scientific Library. A different approach is taken by theNumerical Recipes library, where emphasis is placed on clear understanding of algorithms.
Manycomputer algebra systems (listed above) can also be used for numerical computations.
Music mathematics software utilizes mathematics to analyze or synthesize musical symbols and patterns.
A growing number of mathematical software is available in web browsers, without the need to download or install any code.[5]
Low-level mathematical libraries intended for use within otherprogramming languages:
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