隱函數定理

《隱函數定理(英文)》內容包括：The implicit function theorem is. along with its close cousin the inverse func-tion theorem,one of the most important,and one of the oldest,paradigms in modcrn mathemarics. One can see the germ of the idea for the implicir func tion theorem in the writings of Isaac Newton (1642-1727),and Gottfried Leib-niz's (1646-1716) work cxplicitty contains an instance of implicit differentiation.

Whilc Joseph Louis Lagrange (1736-1813) found a theorcm that is essentially a version of the inverse function theorem,ic was Augustin-Louis Cauchy (1789-1857) who approached the implicit function theorem with mathematical rigor and it is he who is gencrally acknowledgcd as the discovcrer of the theorem. In Chap-ter 2,we will give details of the contributions of Newton,Lagrange,and Cauchy to the development of the implicit function theorem.