Authors:
- An attractive blend of modern topics and classical results
- The authors have included a nice selection of exercises for classroom use
- Ideal reference work which contains a large amount of historical material and references
Part of the book series: Springer Monographs in Mathematics (SMM)
This is a preview of subscription content, log in via an institution to check for access.
Table of contents (6 chapters)
-
Front Matter
-
Back Matter
About this book
Reviews
From the reviews:
“This book is devoted to the theory of inverse and implicit functions and some of its modifications for solution mappings in variational problems. … The book is targeted to a broad audience of researchers, teachers and graduate students. It can be used as well as a textbook as a reference book on the topic. Undoubtedly, it will be used by mathematicians dealing with functional and numerical analysis, optimization, adjacent branches and also by specialists in mechanics, physics, engineering, economics, and so on.” (Peter Zabreiko, Zentralblatt MATH, Vol. 1178, 2010)
“The book starts with the classical framework of implicit function theorem and then is largely focusing on properties of solution mapping of variational problems. … The book ends with a rich list of references, a glossary of notation, and a subject index. This references reflect from one side the authors’s contribution to this topic and from other side the contributions of many other researchers all over the world. Certainly this wonderful work will be included in many libraries all over the world.” (Marian Mureşan, Studia Universitatis Babes-Bolyai, Mathematica, Vol. LV (4), December, 2010)
“The present monograph will be a most welcome and valuable addition. … This book will save much time and effort, both for those doing research in variational analysis and for students learning the field. This important contribution fills a gap in the existing literature.” (Stephen M. Robinson, Mathematical Reviews, Issue 2010 g)
“The book commences with a helpful context-setting preface followed by six chapters. Each chapter starts with a useful preamble and concludes with a careful and instructive commentary, while a good set of references, a notation guide, and a somewhat brief index complete this study. … I unreservedly recommended this book to all practitioners and graduate students interested in modern optimization theory or controltheory or to those just engaged by beautiful analysis cleanly described.” (Jonathan Michael Browein, IEEE Control Systems Magazine, February, 2012)
Authors and Affiliations
-
Dept. Mathematics, University of Michigan, Ann Arbor , U.S.A.
Asen L. Dontchev
-
Dept. Mathematics, University of Washington, Seattle, U.S.A.
R. Tyrrell Rockafellar
Bibliographic Information
Book Title: Implicit Functions and Solution Mappings
Book Subtitle: A View from Variational Analysis
Authors: Asen L. Dontchev, R. Tyrrell Rockafellar
Series Title: Springer Monographs in Mathematics
DOI: https://doi.org/10.1007/978-0-387-87821-8
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag New York 2009
Series ISSN: 1439-7382
Series E-ISSN: 2196-9922
Edition Number: 1
Number of Pages: XII, 376
Number of Illustrations: 12 b/w illustrations
Topics: Analysis, Optimization, Engineering Economics, Organization, Logistics, Marketing