隐函数定理-(影印版) 内容简介

　　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.

隐函数定理-(影印版) 目录

preface
1 introduction to the implicit function theorem
1.1 implicit functions
1.2 an informal version ofthe implicit function theorem
1.3 thelmplicit function theorem paradigm

2 history
2.1 historicallntroduction
2.2 newton
2.3 lagrange
2.4 cauchy

3 basfcldeas
3.1 introduction
3.2 the inductive proof of the implicit function theorem

自然科学 数学 函数

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