Implicit functions and solution mappings : a view from variational analysis

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 sol...

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Xehetasun bibliografikoak
Egile Nagusiak: Dontchev, Asen L., 1948-2021, Rockafellar, Ralph Tyrrell, 1935-...., mathématicien (Egilea)
Formatua: Livre numérique
Hizkuntza:Anglais
Argitaratua: New York, NY : Springer New York [20..].
Cham : Springer Nature
Edizioa:1st ed. 2009.
Saila:Springer Monographs in Mathematics
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Oharra: Description d'après consultation du 15 novembre 2011
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Implicit functions and solution mappings, a view from variational analysis, Asen L. Dontchev, R. Tyrrell Rockafellar, 2009, Dordrecht, Springer, 1 vol. (XII-375 p.), Springer monographs in mathematics, 978-0-387-87820-1
• Implicit Functions and Solution Mappings, Texte imprimé, 9780387879451
• Implicit Functions and Solution Mappings, Texte imprimé, 9781441927712
Deskribapena
Gaia: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
Alearen deskribapena:Description d'après consultation du 15 novembre 2011
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Bibliografia:Bibliogr. Index
ISBN:9780387878218
ISSN:2196-9922
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