Implicit Functions and Solution Mappings

Asen L. Dontchev, R. Tyrrell Rockafellar

ISBN 10: 1493939696 / ISBN 13: 9781493939695

Published by Springer-Verlag New York Inc., US, 2016

About this Item

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. Softcover reprint of the original 2nd ed. 2014.

Seller Inventory # LU-9781493939695

Bibliographic Details

• Title: Implicit Functions and Solution Mappings
• Publisher: Springer-Verlag New York Inc., US
• Publication Date: 2016
• Language: English
• ISBN 10: 1493939696
• ISBN 13: 9781493939695
• Binding: Paperback
• Condition: New

About this title

Synopsis

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.

About the Author

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.