Implicit Functions and Solution Mappings

A View from Variational Analysis

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Applied
Cover of the book Implicit Functions and Solution Mappings by R. Tyrrell Rockafellar, Asen L. Dontchev, Springer New York
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Author: R. Tyrrell Rockafellar, Asen L. Dontchev ISBN: 9781493910373
Publisher: Springer New York Publication: June 18, 2014
Imprint: Springer Language: English
Author: R. Tyrrell Rockafellar, Asen L. Dontchev
ISBN: 9781493910373
Publisher: Springer New York
Publication: June 18, 2014
Imprint: Springer
Language: English

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.

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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 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.

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