隐函数定理-(影印版)-教辅教材-文化科教-太极之巅书单号

书刊介绍

隐函数定理-(影印版) 内容简介

the implicit function theorem is. along with its close cousinthe inverse func- tion theorem， one of the most important， and oneof the oldest， paradigms in modcrn mathemarics. one can see thegerm of the idea for the implicir func tion theorem in the writingsof isaac newton （1642-1727）， and gottfried leib-niz's （1646-1716）work cxplicitty contains an instance of implicitdifferentiation.whilc joseph louis lagrange （1736-1813） found a theorcm that isessentially a version of the inverse function theorem， ic wasaugustin-louis cauchy （1789-1857） who approached the implicitfunction theorem with mathematical rigor and it is he who isgencrally acknowledgcd as the discovcrer of the theorem. inchap-ter 2， we will give details of the contributions of newton，lagrange， and cauchy to the development of the implicit functiontheorem.

隐函数定理-(影印版) 本书特色

在数学中，隐函数定理是一个描述关系以隐函数表示的某些变量之间是否存在显式关系的定理。克朗兹编著的《隐函数定理》介绍了隐函数定理的基本知识，是全英文版。

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