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Titlebook: Implicit Functions and Solution Mappings; A View from Variatio Asen L. Dontchev,R. Tyrrell Rockafellar Textbook 2014Latest edition Springer

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发表于 2025-3-21 18:31:30 | 显示全部楼层 |阅读模式
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Covers major developments of the last five years.Complements and extends significantly the material covered in the first edition.Includes new solutions of problems that were open when the first editio
丛书名称Springer Series in Operations Research and Financial Engineering
图书封面Titlebook: Implicit Functions and Solution Mappings; A View from Variatio Asen L. Dontchev,R. Tyrrell Rockafellar Textbook 2014Latest edition Springer
描述.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 second edition of .Implicit Functions and Solution Mappings .presents an updated and more complete picture of the field by including solutions of problems that have been solved since the first edition was published, and places old and new results in a broader perspective. 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. Updates to this edition include new sections in almost all chapters, new exercises and examples, updated commentaries to chapters and an enlarged index and references section..
出版日期Textbook 2014Latest edition
关键词Graphical differentiation; Implicit functions; Metric regularity in infinite dimensions; Radius theorem
版次2
doihttps://doi.org/10.1007/978-1-4939-1037-3
isbn_softcover978-1-4939-3969-5
isbn_ebook978-1-4939-1037-3Series ISSN 1431-8598 Series E-ISSN 2197-1773
issn_series 1431-8598
copyrightSpringer Science+Business Media New York 2014
The information of publication is updating

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Textbook 2014Latest editionns and numerical analysis..This second edition of .Implicit Functions and Solution Mappings .presents an updated and more complete picture of the field by including solutions of problems that have been solved since the first edition was published, and places old and new results in a broader perspect
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Metric Regularity in Infinite Dimensions,gularity and interiority conditions on domains and ranges, as seen in the Robinson–Ursescu theorem. Infinite-dimensional inverse function theorems and implicit function theorems due to Lyusternik, Graves, and Bartle and Graves can be derived and extended. Banach spaces can even be replaced to some degree by more general metric spaces.
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Asen L. Dontchev,R. Tyrrell RockafellarCovers major developments of the last five years.Complements and extends significantly the material covered in the first edition.Includes new solutions of problems that were open when the first editio
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978-1-4939-3969-5Springer Science+Business Media New York 2014
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