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Field name	Details
Dewey Class	510
Title	Implicit Functions and Solution Mappings ([Ebook]) : A View from Variational Analysis / by Asen L. Dontchev, R. Tyrrell Rockafellar.
Author	Dontchev, Asen L. , 1948-
Added Personal Name	Rockafellar, Ralph Tyrrell
Added Personal Name	1935-
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer , 2009.
Physical Details	XII, 376 pages : 12 illus. : online resource.
Series	Springer monographs in mathematics 1439-7382
ISBN	9780387878218
Summary Note	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.:
Contents note	Preface -- Acknowledgements -- Functions Defined Implicitly by Equations -- Implicit Function Theorems for Variational Problems -- Regularity Properties of Set-Value Solution Mappings -- Regularity Properties Through Generalized Derivatives -- Regularity in Infinite Dimensions -- Applications in Numerical Variational Analysis -- References -- Notation -- Index.-.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-0-387-87821-8
Links to Related Works	Subject References: Analysis . Engineering Economics, Organization, Logistics, Marketing . Engineering economy . Global analysis (Mathematics) . Mathematical optimization . Optimization . Authors: 1935- . author . Dontchev, Asen L. 1948- . Rockafellar, Ralph Tyrrell . Corporate Authors: SpringerLink (Online service) . Series: Springer monographs in mathematics . Classification: 510 . 510 (DDC 23) .

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Implicit Functions and Solution Mappings: A View from Variational Analysis

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