Theimplicitfunctiontheoremis.alongwithitsclosecousintheinversefunc-tiontheorem,oneofthemostimportant,andoneoftheoldest,paradigmsinmodcrnmathemarics.OnecanseethegermoftheideafortheimplicirfunctiontheoreminthewritingsofIsaacNewton(642-727),andGottfriedLeib-niz-s(646-76)workcxplicittycontainsaninstanceofimplicitdifferentiation.WhilcJosephLouisLagrange(736-83)foundatheorcmthatisessentiallyersionoftheinversefunctiontheorem,icwasAugustin-LouisCauchy(789-857)whoapproachedtheimplicitfunctiontheoremwithmathematicalrigoranditishewhoisgencrallyacknowledgcdasthediscovcrerofthetheorem.InChap-ter2,wewillgivedetailsofthecontributionsofNewton,Lagrange,andCauchytothedevelopmentoftheimplicitfunctiontheorem.
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Theimplicitfunctiontheoremis.alongwithitsclosecousintheinversefunc-tiontheorem,oneofthemostimportant,andoneoftheoldest,paradigmsinmodcrnmathemarics.OnecanseethegermoftheideafortheimplicirfunctiontheoreminthewritingsofIsaacNewton(642-727),andGottfriedLeib-niz-s(646-76)workcxplicittycontainsaninstanceofimplicitdifferentiation.WhilcJosephLouisLagrange(736-83)foundatheorcmthatisessentiallyersionoftheinversefunctiontheorem,icwasAugustin-LouisCauchy(789-857)whoapproachedtheimplicitfunctiontheoremwithmathematicalrigoranditishewhoisgencrallyacknowledgcdasthediscovcrerofthetheorem.InChap-ter2,wewillgivedetailsofthecontributionsofNewton,Lagrange,andCauchytothedevelopmentoftheimplicitfunctiontheorem.
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