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implicit function theoremIn this chapter let us consider some basic facts about the differential calculus for operators. The main strategy encompasses the following: Differentiation means linearization. Higher derivatives correspond to multilinearization....
隐函数定理(Implicit Function Theorem)。假设 是的开子集,并且是类的函数。还假设S是Rn+k的开子集(open subset),并且F:S→Rk是类C的函数1。还假设(a,b) 是S 中的一个点,使得 F(a,b)=0 and detDyF(a,b)≠0.i.那么存在 使得对于每个使得,中存在唯一的,使得r0,r1>0使得对于每个x∈Rn使得|x...
multi-variables calculusThe Implicit Function Theorem(分析版本隐函数定理)(2)基本技能 以下一些问题涉及大量计算。能够非常快速或准确地完成这种常规计算并不十分重要。但是,了解解决此类问题需要做什么却…
The Implicit Function Theorem Steven G. Krantz & Harold R. Parks 1011 Accesses Abstract To the beginning student of calculus, a function is given by an analytic expression such as f(x)=x3+2x2−x−3 (1.1) , g(y)=y2+1 (1.2) or h(t)=cos(2πt) (1.3) ....
1. A SIMPLE VERSION OF THE IMPLICIT FUNCTION THEOREM 1.1. Statement of the theorem. Theorem1 (Simple Implicit Function Theorem). Suppose that φ is a real-valued functions defined on a domain D and continuously differentiable on an open set D 1 ⊂ D ⊂ R n , x 0 1 , x 0 2...
作者:[美] Harold R·Parks/[美] Steven G·Krantz 出版年:2012-11 页数:176 定价:$ 79.04 ISBN:9781461459804 豆瓣评分 评价人数不足 评价: 写笔记 写书评 加入购书单 分享到 推荐 内容简介· ··· The implicit function theorem is part of the bedrock of mathematical analysis and geometry. Finding...
Biasi, C., Gutierrez, C., Dos Santos, E.L.: The implicit function theorem for continuous functions. Topol. Methods Nonlinear Anal. 32 (1), 177–185 (2008)C. Biasi, C. Gutierrez. E. L. Dos Santos, The Implicit Function Theorem for Continuous Functions, Topol. Methods Nonlinear Anal...
The Implicit Function Theorem 作者:[美] Harold R·Parks/[美] Steven G·Krantz 出版社:Springer Verlag 副标题:History,Theory and Applications 出版年:2002-4 页数:180 定价:$ 95.99 装帧:HRD ISBN:9780817642853 豆瓣评分 评价人数不足 评价: 写笔记...
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-...