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Implicit Functions and Solution Mappings
A View from Variational Analysis
Buch von R. Tyrrell Rockafellar (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor

Asen L. Dontchev is a Professor at the Department of Mathematics at the University of Michigan. R. Tyrrell Rockafellar is a Professor at the Department of Mathematics at the University of Washington and at the Department of Industrial and Systems Engineering at the University of Florida.

Zusammenfassung

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 edition was published

Inhaltsverzeichnis
Introduction and equation-solving background.- Solution mappings for variational problems.- Set-valued analysis of solution mappings.- Regularity properties through generalized derivatives.- Metric regularity in infinite dimensions.- Applications in numerical variational analysis.
Details
Medium: Buch
Reihe: Springer Series in Operations Research and Financial Engineering
Inhalt: xxviii
466 S.
13 s/w Illustr.
1 farbige Illustr.
466 p. 14 illus.
1 illus. in color.
ISBN-13: 9781493910366
ISBN-10: 1493910361
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Rockafellar, R. Tyrrell
Dontchev, Asen L.
Auflage: 2nd ed. 2014
Hersteller: Springer New York
Springer US, New York, N.Y.
Springer Series in Operations Research and Financial Engineering
Maße: 241 x 160 x 33 mm
Von/Mit: R. Tyrrell Rockafellar (u. a.)
Erscheinungsdatum: 18.06.2014
Gewicht: 0,904 kg
Artikel-ID: 105331290
Über den Autor

Asen L. Dontchev is a Professor at the Department of Mathematics at the University of Michigan. R. Tyrrell Rockafellar is a Professor at the Department of Mathematics at the University of Washington and at the Department of Industrial and Systems Engineering at the University of Florida.

Zusammenfassung

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 edition was published

Inhaltsverzeichnis
Introduction and equation-solving background.- Solution mappings for variational problems.- Set-valued analysis of solution mappings.- Regularity properties through generalized derivatives.- Metric regularity in infinite dimensions.- Applications in numerical variational analysis.
Details
Medium: Buch
Reihe: Springer Series in Operations Research and Financial Engineering
Inhalt: xxviii
466 S.
13 s/w Illustr.
1 farbige Illustr.
466 p. 14 illus.
1 illus. in color.
ISBN-13: 9781493910366
ISBN-10: 1493910361
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Rockafellar, R. Tyrrell
Dontchev, Asen L.
Auflage: 2nd ed. 2014
Hersteller: Springer New York
Springer US, New York, N.Y.
Springer Series in Operations Research and Financial Engineering
Maße: 241 x 160 x 33 mm
Von/Mit: R. Tyrrell Rockafellar (u. a.)
Erscheinungsdatum: 18.06.2014
Gewicht: 0,904 kg
Artikel-ID: 105331290
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