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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