Implicit Functions and Solution Mappings

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Implicit Functions and Solution Mappings is written by Asen L. Dontchev and published by Springer. It's available with International Standard Book Number or ISBN identification 149391037X (ISBN 10) and 9781493910373 (ISBN 13).

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.