Rīmagiefung

Fram Wikipǣdian
Gān tō: þurhfōr, sēcan

Rīmagiefung (on Nīwum Englisce hāteþ algebra) is dǣl rīmcræftes be þǣre cneordlǣcinge þāra laga of weorcunge and gesibbnessum, and þǣm timbrum and oncnāwnessum þe arīsaþ from heom, ēac besetednessum, manigsetednessum, efenweorðfindungum, and rīmagiefunglicum endebyrdnessum. Andefen eorþmetes, arāflunge, stōwlāre, tellingalāre, and rīma flītcræftes is rīmagiefung ān þāra hēafodlicena dǣla smǣtes rīmcræftes.

Se dǣl rīmagiefunge gehāten grundstaðoliende rīmagiefung is oft dǣl þǣre lāre in æfterran lǣrunge and inlǣdeþ þā oncnāwnesse missenrīma þe tācniaþ rīm. Cwidas þā sind gestaðolode on þissum missenrīmum sind gestēorede notiende þā laga weorcunga þā sind gehapa rīmum, swilce ēacnung. Mann mæg dōn þis for missenlicum intingum, ēac efenweorþfindunge. Rīmagiefung is swīðe brādre þonne grundstaðoliende rīmagiefung and is sēo cnēorlǣcing þǣre gelimpeþ sēo nytt missenlica laga weorcinge and sēo gesettung weorcinga tō ōðrum þingum būtan rīmum. Ēacnung and manigfealding cann mann settan on gemǣnre endebyrdnesse laga and heora fullan, rihtan tōmearcunga inlǣdaþ rīmagiefunglice endebyrdnessa swilce þrēatas, hringas and līchamas, þe sind cnēorlǣhte on þǣm dǣle rīmcræftes þe hāteþ brād rīmagiefung.

Stǣr[adihtan]

Tramet fram Al-Khwārizmī's Sēo Sceortlice Bōc be Rīmweorcinge þurh Fulfillinge and Efensettunge

Þā þā Plato cōm, Crēcisc rīmcræft hæfde gefēred micele andwendunge. Þā Crēcas sciepedon eorþmetlice rīmagiefunge on þǣre þe besetednessa wǣron tācnod fram sīdum eorþmetlicra þinga, oftost līna, þā hæfdon stafan geþēote wiþ hīe.[1] Diophantus (þe lifode on þǣm 3. hundgēare æfter Crīste), þe hwīlum is gehāten "se fæder rīmagiefunge", wæs Alexandrianisc rīmcræftmann and se wrītere endebyrdnesse bōca þā hātaþ Rīmcræft. Þās gewritu standaþ be þǣre arāflinge rīmagiefunglicra efenweorþfindunga.

Rīmagiefunge staðol biþ gefunden on gamolum Indiscum rīmcræfte, þe Muhammad ibn Mūsā al-Khwārizmī (lifode fram þǣm 780. gēare oþ þæt 850. gēar) hefige onfēng on mōde. Hē leornode Indiscne rīmcræft and inlēd hīe in þā Allahdōmiscan dǣlas þǣre worulde þurh his wīdcūð rīmcræftlic gewrit, Bōc be Ēacnunge and Animunge æfter þǣre Wīsan þāra Indiscena.[2][3] Hē lator awrāt Sēo Sceortlice Bōc be Rīmweorcinge þurh Fulfillinge and Efensettung, þe gesette rīmagiefunge tō rīmlāriscum cræfe se is ānstandende fram eorþmete and grundrīmcræfte.[4]

Þā staðolas rīmagiefunge cunnon wesan gefunden on þǣm gamolum Babyloniscum ,[5] þā forðodon forðode rīmmetende endebyrdnesse þurh þā þe hīe cūðdon dōn rīmweorcunga in rīmendebyrdnessiscre wīsan. Þā Babyloniscan forðodon endebyrdnessa tō weorcienne arāflunga cnottena þe sindgewunelīce arāfled tōdæg be þǣre nytte līnlicra efenweorþfindunga, fēowerscētra efenweorþfindunga, and unrīmra līnlicra efenweorþfindunga. Tō ungelīcnesse, þæt mǣste dǣl Egyptiscena þisre tīde, and Crēciscena and Cīniscena rīmlārmanna in þǣm 1 þūsendgēare fōre Crīste, gewunelīce arāflede swelca efenweorþfindunga þurh eorþmetlica endebyrdnesse, swelce þās amearcod in þǣm Rhind Rīmlāriscan Papyrus, Euclides Gesceaft, and Þā Nigone Hēafodwearda on þǣm Rīmcræfte. Þæt eorþmetlice weorc þāra Crēciscena, ēowod in þǣre bēc Gesceaft, macode þæt grundweorc for þǣre gewuneliclǣcunge endebyrdnessa begeondan þā arāflunge sumra cnottena on maniga gewunelica endebyrdnessa secgunge and arāflunge efenweorþfindunga, þēah þe þis ne scolde wesan gecūþ oþ þā midealdan Alladōmiscan rīmcræftmenn.

Þā Crēciscan rīmcræftmenn Hero Alexandrie and Diophantus[6] and Indisce rīmcræftmenn, swelce Brahmagupta, hēoldon þā þēawas Ægyptes and Babilōnie, þēah þe Diophantus Arithmetica and Brahmaguptan Brahmasphutasiddhanta standaþ on hīeran efenette.[7] Tō bȳsne, sēo forme fulle rīmcræftisce arāfling (befōne nāwihtrīm and underran arāflunga) fēowerscētra efenweorþfindunga wæs amearcod fram Brahmaguptan in his bēc Brahmasphutasiddhanta. Þǣræfter, Arabisce and Muslime rīmcræftmenn forðodon rīmagiefungisca endebyrdnessa on swīðe hīeran strengðe manigfealdnesse. Þēah Diophantus and þā Babylōniscan brucon oftost ānlica endebyrdnessa tō arāflenne efenweorþlǣcinga, Al-Khwarizmi wæs se forma þe arāflede efenweorþlǣcinga þā hwīle þe hē brēac brāda endebyrdnessa. Hē arāflede þā līnlican unfæstlican efenweorþlǣcinga, fēowerscēta efenweorþlǣcinga, unfæstlica efenweorþlǣcinga þǣre ōðerre endebyrdnesse and efenweorþlǣcinga mid manigfealdum unfæstrīmum.


Ǣrendgewritunclu[adihtan]

  1. Fram "Europe in the Middle Ages" on þǣm 258 tramente: "On þǣm rīmcræftlicum sōþfōresetednessum in Euclides Hēafodgesceaft fram VII oþ IX, rīm sind tācnod fram līndǣlum on þǣm þe stafan sind gesette, and þā eorþmetlican bēhþa in al-Khwarizmies bēc Rīmagiefung notode stæfbǣra gefēgednessa; ac ealle efenwyrcendas in þǣm efenweorþfindungum þā sind gebrocena in þǣre bēc Rīmagiefung sind amearcod rīm, ǣghwæðer þe hīe sīen tācnode fram rīmstafum oþþe sīen gewritene on wordum. Sēo oncnāwness brādnesse is abēacnod in al-Khwarizmies amearcunge, ac hē næfde nāne wīsan tō tācnienne rīmagiefunglīce þā gewunelican fōresetednessa þe sind swā gearwa in eorþmete."
  2. http://www.brusselsjournal.com/node/4107/print
  3. A History of Mathematics: An Introduction (on ōðerre ūtsendnesse) (sōftbōc) fram Victor J katz Addison Wesley; on ōðerre ūtsendnesse (on þǣm 6 dæge Hrēðmōnaðes þæs 1998 gēares)
  4. Bysen:Citation
  5. Struik, Dirk J. (1987). A Concise History of Mathematics. New York: Dover Publications.
  6. Diophantus, Father of Algebra
  7. History of Algebra

Fruman[adihtan]

Ūwearde hlencan[adihtan]