Implicit Functions and Solution Mappings: A View from Variational Analysis (Springer Monographs in Mathematics) - Softcover

Dontchev, Asen L.; Rockafellar, R. Tyrrell

Softcover

ISBN 10: 0387878203 ISBN 13: 9780387878201

Verlag: Springer, 2009

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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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.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2009
• ISBN 10: 0387878203
• ISBN 13: 9780387878201
• Einband: Tapa blanda
• Sprache: Englisch
• Anzahl der Seiten: 388
• Kontakt zum Hersteller: Nicht verfügbar