History of Mathematics

Tsarin Gudanarwa na Cartesian
Rene Descartes ©Frans Hals
1637 Jan 1

Tsarin Gudanarwa na Cartesian

Netherlands
Kartesian yana nufin masanin lissafin Faransa kuma masanin falsafa René Descartes, wanda ya buga wannan ra'ayi a cikin 1637 yayin da yake zaune a Netherlands.Pierre de Fermat ne ya gano shi da kansa, wanda kuma ya yi aiki a matakai uku, kodayake Fermat bai buga binciken ba.[109] Limamin Faransa Nicole Oresme yayi amfani da gine-gine irin na Cartesian tun kafin lokacin Descartes da Fermat.[110]Dukansu Descartes da Fermat sun yi amfani da axis guda ɗaya a cikin jiyya kuma suna da tsayin tsayin daka wanda aka auna dangane da wannan axis.An gabatar da manufar yin amfani da gatari biyu daga baya, bayan da aka fassara Descartes' La Géométrie zuwa Latin a 1649 ta Frans van Schooten da ɗalibansa.Waɗannan masu sharhi sun gabatar da ra'ayoyi da yawa yayin ƙoƙarin fayyace ra'ayoyin da ke cikin aikin Descartes.[111]Haɓaka tsarin haɗin gwiwar Cartesian zai taka muhimmiyar rawa wajen haɓaka ƙididdiga ta Isaac Newton da Gottfried Wilhelm Leibniz.[112 <] > Bayanin haɗin kai guda biyu na jirgin daga baya ya zama gama gari a cikin ra'ayi na sararin samaniya.[113]Yawancin sauran tsarin daidaitawa an haɓaka su tun daga Descartes, kamar daidaitawar polar don jirgin sama, da daidaitawar sikeli da cylindrical don sarari mai girma uku.

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