Toscead betweox fadungum "Rīmagiefung"

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Líne 7:
[[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 ''[[Sēo Sceortlice Bōc be Rīmweorcinge þurh Fulfillinge and Efensettunge|al-Kitāb al-muḫtaṣar fī ḥisāb al-ğabr wa-l-muqābala]]'']]
 
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=Fram "Europe in the Middle Ages" p.on þǣm 258}} tramente: "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]] (þe lifode on þǣm 3 hundgēare AD), hwīlum gehāten "se fæder stæfrīmtācninge", wæs [[Alexandria]]nisc [[Crēcisc rīmlār|rīmlārmann]] and se wrītere endebyrdnesse bōca gehāten ''[[Arithmetica]]''. Þās gewritu standaþ be þǣre arāflinge [[stæfrīmtācningisc efenweorþfindung|stæfrīmtācningiscra efenweorþfindunga]].
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Stæfrīmtācninge staðol biþ gefunden on gamolre [[Indisc rīmlār|Indiscre rīmlāre]], þe [[Muhammad ibn Mūsā al-Khwārizmī]] (lifode of þǣm 780 gēare oþ þæt 850 gēar) hefige onfēng on mōde. Hē leornode Indisce rīmlāre and inlēd hīe in þā Alladōmiscan dǣl þǣre worulde þurh his wīdcūðe rīmlārisce gewrit, ''Bōc be Ēacnunge and Animunge æfter þǣre Wīsan þāra Indisceba''.<ref>http://www.brusselsjournal.com/node/4107/print</ref><ref>''A History of Mathematics: An Introduction (on ōðerre ūtsendnesse) (cartbæced) fram Victor J katz Addison Wesley; on ōðerre ūtsendnesse (on þǣm 6 dæge Hrēðmōnaðes þæs 1998 gēares)</ref> Hē lator awrāt ''[[Th 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>
Líne 207:
 
The rational numbers, the real numbers and the complex numbers are all examples of fields.
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== Ǣrendgewritunclu ==
{{reflist}}
Líne 219:
* R.B.J.T. Allenby: ''Rings, Fields and Groups''. ISBN 0-340-54440-6
* [[L. Euler]]: ''[http://web.mat.bham.ac.uk/C.J.Sangwin/euler/ Elements of Algebra]'', ISBN 978-1-899618-73-6
* Isaac Asimov ''Realm of Algebra'' (Houghton Mifflin), 1961-->
 
== Ūwearde hlencan ==
* [http://www.gresham.ac.uk/event.asp?PageId=45&EventId=620 4000 Years of Algebra], tǣcing fram Robin Wilson, æt [[Gresham College]] on þǣm 17 dæge Winterfylleðes þæs 2007 gēares (gēare for MP3 and MP4 onbehlæsting, and gewrit).
* {{sep entry|algebra|Algebra|Vaughan Pratt}}
 
[[Flocc:Rīmcræft]]