Implicit Functions and Solution Mappings 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Dontchev, Asen L./ Rockafeller, R. Tyrrell 作者

译者

2009-6 出版日期

388 页数

$ 79.04 价格

丛书系列

9780387878201 图书编码

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Implicit Functions and Solution Mappings 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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The implicit function theorem is one of the most important theorems in analysis and its many variants are basic tools in partial differential equations and numerical analysis. This book treats the implicit function paradigm in the classical framework and beyond, focusing largely on properties of solution mappings of variational problems. The purpose of this self-contained work is to provide a reference on the topic and to provide a unified collection of a number of results which are currently scattered throughout the literature. The first chapter of the book treats the classical implicit function theorem in a way that will be useful for students and teachers of undergraduate calculus. The remaining part becomes gradually more advanced, and considers implicit mappings defined by relations other than equations, e.g., variational problems. Applications to numerical analysis and optimization are also provided. This valuable book is a major achievement and is sure to become a standard reference on the topic.

Implicit Functions and Solution Mappings 在线电子书下载 mobi epub pdf txt 在线电子书下载

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