| 书目名称 | Implicit Functions and Solution Mappings |
| 副标题 | A View from Variatio |
| 编辑 | Asen L. Dontchev,R. Tyrrell Rockafellar |
| 视频video | |
| 概述 | An attractive blend of modern topics and classical results.The authors have included a nice selection of exercises for classroom use.Ideal reference work which contains a large amount of historical ma |
| 丛书名称 | Springer Monographs in Mathematics |
| 图书封面 |  |
| 描述 | Setting up equations and solving them has long been so important that, in popular imagination, it has virtually come to describe what mathematical analysis and its applications are all about. A central issue in the subject is whether the solution to an equation involving parameters may be viewed as a function of those parameters, andif so,what propertiesthat functionmighthave.Thisisaddressedbytheclassical theory of implicit functions, which began with single real variables and progressed through multiple variables to equations in in?nite dimensions, such as equations associated with integral and differential operators. A major aim of the book is to lay out that celebrated theory in a broader way than usual, bringing to light many of its lesser known variants, for instance where standard assumptions of differentiability are relaxed. However, another major aim is to explain how the same constellation of ideas, when articulated in a suitably expanded framework, can deal successfully with many other problems than just solving equations. |
| 出版日期 | Textbook 20091st edition |
| 关键词 | Derivative; Implicit function; calculus; differential equation; optimization; partial differential equati |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-0-387-87821-8 |
| issn_series | 1439-7382 |
| copyright | Springer-Verlag New York 2009 |
发表于 2025-3-21 19:19:18
