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Bibliografische Details

Titel: Implicit Functions and Solution Mappings : A View from Variational Analysis
Verlag: Springer
Erscheinungsjahr: 2010
Sprache: Englisch
ISBN-10: 1441927719
ISBN-13: 9781441927712
Einband: Soft cover
Auflage: 1st Edition
Zustand: New
Zustand des Schutzumschlags: New

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Inhaltsangabe

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 book treats the implicit function paradigm in the classical framework and beyond, focusing largely on properties of solution mappings of variational problems.

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. The first chapter of the book treats the classical implicit function theorem in a way that will be useful for students and teachers of undergraduate calculus. The remaining part becomes gradually more advanced, and considers implicit mappings defined by relations other than equations, e.g., variational problems. Applications to numerical analysis and optimization are also provided.

This valuable book is a major achievement and is sure to become a standard reference on the topic.

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This valuable book is a major achievement and is sure to become a standard reference on the topic.

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