Implicit Functions and Solution Mappings: A View from Variational Analysis

Dontchev, Asen L, and Rockafellar, R Tyrrell

ISBN 10: 0387878203 / ISBN 13: 9780387878201

Verlag: Springer, Dordrecht, Netherlands, 2009

Beschreibung

***INTERNATIONAL EDITION*** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service. Glued binding. Paper over boards. 375 p. Contains: Illustrations. Springer Monographs in Mathematics. Audience: General/trade. Bestandsnummer des Verkäufers K4700000518

Bibliografische Details

Titel: Implicit Functions and Solution Mappings: A ...

Verlag: Springer, Dordrecht, Netherlands

Erscheinungsdatum: 2009

Einband: Trade paperback

Zustand: New in new dust jacket.

Auflage: First edition.

Über diesen Titel

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.