Rockafellar / Dontchev | Implicit Functions and Solution Mappings | Buch | 978-1-4939-3969-5 | sack.de

Buch, Englisch, 466 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 7431 g

Reihe: Springer Series in Operations Research and Financial Engineering

Rockafellar / Dontchev

Implicit Functions and Solution Mappings

A View from Variational Analysis
Softcover Nachdruck of the original 2. Auflage 2014
ISBN: 978-1-4939-3969-5
Verlag: Springer

A View from Variational Analysis

Buch, Englisch, 466 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 7431 g

Reihe: Springer Series in Operations Research and Financial Engineering

ISBN: 978-1-4939-3969-5
Verlag: Springer


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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Zielgruppe


Upper undergraduate

Weitere Infos & Material


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.


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.



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