Toscead betweox fadungum "Rīmagiefung"
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Þæt dǣl stæfrīmtācninge gehāten [[grundstaðoliende stæfrīmtācning]] is oft dǣl þǣre lāre in [[ōðerlic lǣrung|ōðerlicre lǣrunge]] and inlǣdeþ þā oncnāwnesse [[missenrīm (on rīmcræfte)|missenrīma]] þe tācniaþ [[rīm]]. Cwidas gestaðolode on þissum missenrīmum sind gestēorede notiende þā laga weorcinga þā mann mæg wyrcan mid rīmum, swelce [[ēacnung (on rīmcræfte)]]. Þis mæg wesan gedōn for missenlicum intingum, befōnde [[efenweorþfindung]]. Stæfrīmtācning is swīðe brādre þonne grundstaðoliende stæfrīmtācning; hēo is sēo cnēorlǣcing þæs gelimpeþ þǣr missenlica laga weorcinge sind gebrocen and þǣr weorcinga sind worht tō ōðrum þingum ōðer rīm. <!--Ēacnung and [[manigfealding]] cunnon wesan brǣded and heora forrihtan tōmearcunga inlǣdaþ [[stæfrīmtācningisc timber|stæfrīmtācningisce timbras]] swelce [[þrēat (on rīmlāre)|þrēatas]], [[hring (on rīmlāre)|hringas]] and [[feld (on rīmlāre)|felda]], þe sind cnēorlǣht on þǣm dǣle rīmlāre þe hāteþ [[brād stæfrīmtācing]].
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== Stǣr ==
[[biliþ:Image-Al-Kitāb al-muḫtaṣar fī ḥisāb al-ğabr wa-l-muqābala.jpg|thumb|Trament fram [[:en:Muhammad ibn Musa al-Khwarizmi|Al-Khwārizmī]]'s ''[[
Þā þā [[Plato]] cōm, [[Crēcisc rīmlār]] hæfde gefēred micele andwendunge. Þā [[Gamol Crēcland|Crēcas]] sciepedon [[eorþmetlic stæfrīmtācning|eorþmetlice stæfrīmtācninge]] on þǣm þe besetednessa wǣron tācnod fram sīdum eorþmetlicra þinga, oftost līna, þā hæfdon stafan gesibb him.<ref>{{Harv|Boyer|1991|loc="Europe in the Middle Ages" p. 258}} "On þǣm rīmcræftlicum foresetednessum in Euclides ''Hēafodsceaft'' fram VII oþ IX, rīm hæfdon gebēon tācnod fram līndǣlum on þǣm þe stafan hæfdon gebēon geseted, and þā eorþmetlican bēhþa in al-Khwarizmis bēc ''Stæfrīmtācning'' notoded stæfbǣra gefēgednessa; ac ealle fæstmanigfealdendas in þǣm efenweorþfindungum gebrocen in þǣre bēc ''Algebra'' sind amearcode agyldan; ǣghwæðer þe hīe sīen tācnod fram rīmum oþþe gewriten on wordum. Sēo oncnāwness brādnesse is abēacnod in al-Khwarizmis amearcunge, ac hē næfde nāne wīsan tō ēowienne stæfrīmtācniende þā gewunelican forþsetednessa þe sind swā gearu in eorþmete."</ref> [[Diophantus]] (3rd century AD), sometimes called "the father of algebra", was an [[Alexandria]]n [[Greek mathematics|Greek mathematician]] and the author of a series of books called ''[[Arithmetica]]''. These texts deal with solving [[algebraic equation]]s. ▼
▲Þā þā [[Plato]] cōm, [[Crēcisc rīmlār]] hæfde gefēred micele andwendunge. Þā [[Gamol Crēcland|Crēcas]] sciepedon [[eorþmetlic stæfrīmtācning|eorþmetlice stæfrīmtācninge]] on þǣm þe besetednessa wǣron tācnod fram sīdum eorþmetlicra þinga, oftost līna, þā hæfdon stafan gesibb him.<ref>{{Harv|Boyer|1991|loc="Europe in the Middle Ages" p. 258}} "On þǣm rīmcræftlicum foresetednessum in Euclides ''Hēafodsceaft'' fram VII oþ IX, rīm hæfdon gebēon tācnod fram līndǣlum on þǣm þe stafan hæfdon gebēon geseted, and þā eorþmetlican bēhþa in al-Khwarizmis bēc ''Stæfrīmtācning'' notoded stæfbǣra gefēgednessa; ac ealle fæstmanigfealdendas in þǣm efenweorþfindungum gebrocen in þǣre bēc ''Algebra'' sind amearcode agyldan; ǣghwæðer þe hīe sīen tācnod fram rīmum oþþe gewriten on wordum. Sēo oncnāwness brādnesse is abēacnod in al-Khwarizmis amearcunge, ac hē næfde nāne wīsan tō ēowienne stæfrīmtācniende þā gewunelican forþsetednessa þe sind swā gearu in eorþmete."</ref> [[Diophantus]] (
While the word ''algebra'' comes from the [[Arabic language]] (''al-jabr'', [[wikt:الجبر|الجبر]] literally, ''restoration'') and much of its methods from [[Islamic mathematics|Arabic/Islamic mathematics]], its roots can be traced to earlier traditions, most notably ancient [[Indian mathematics]], which had a direct influence on [[Muhammad ibn Mūsā al-Khwārizmī]] (c. 780-850). He learned Indian mathematics and introduced it to the Muslim world through his famous arithmetic text, ''Book on Addition and Subtraction after the Method of the Indians''.<ref>http://www.brusselsjournal.com/node/4107/print</ref><ref>''A History of Mathematics: An Introduction (2nd Edition) (Paperback) Victor J katz Addison Wesley; 2 edition (March 6, 1998)</ref> He later wrote ''[[The Compendious Book on Calculation by Completion and Balancing]]'', which established algebra as a mathematical discipline that is independent of [[geometry]] and [[arithmetic]].<ref>{{citation|title=Al Khwarizmi: The Beginnings of Algebra|author=Roshdi Rashed|publisher=[[Saqi Books]]|date=November 2009|isbn=0863564305}}</ref>▼
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The roots of algebra can be traced to the ancient [[Babylonian mathematics|Babylonians]],<ref>Struik, Dirk J. (1987). ''A Concise History of Mathematics''. New York: Dover Publications.</ref> who developed an advanced arithmetical system with which they were able to do calculations in an algorithmic fashion. The Babylonians developed formulas to calculate solutions for problems typically solved today by using [[linear equation]]s, [[quadratic equation]]s, and [[indeterminate equation|indeterminate linear equations]]. By contrast, most [[Egyptian mathematics|Egyptians]] of this era, as well as [[Greek mathematics|Greek]] and [[Chinese mathematics|Chinese]] mathematicians in the [[1st millennium BC]], usually solved such equations by geometric methods, such as those described in the ''[[Rhind Mathematical Papyrus]]'', [[Euclid's Elements|Euclid's ''Elements'']], and ''[[The Nine Chapters on the Mathematical Art]]''. The geometric work of the Greeks, typified in the ''Elements'', provided the framework for generalizing formulae beyond the solution of particular problems into more general systems of stating and solving equations, though this would not be realized until the [[Mathematics in medieval Islam|medieval Muslim mathematicians]].
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