Variational Analysis and Generalized Differentiation I : Basic Theory

Boris S. Mordukhovich

ISBN 10: 3540254374 / ISBN 13: 9783540254379

Published by Springer, Springer Spektrum, 2005

About this Item

Druck auf Anfrage Neuware - Printed after ordering - Variational analysis is a fruitful area in mathematics that, on one hand, deals with the study of optimization and equilibrium problems and, on the other hand, applies optimization, perturbation, and approximation ideas to the analysis of a broad range of problems that may not be of a variational nature. This monograph in 2 volumes contains a comprehensive and state-of-the art study of the basic concepts and principles of variational analysis and generalized differentiation in both finite-dimensional and infinite-dimensional spaces and presents numerous applications to problems in optimization, equilibria, stability and sensitivity, control theory, economics, mechanics, etc. The first volumeis devoted to the basic theory of variational analysis and generalized differentiations, while the second volumedescribes various applications. Both volumesinclude abundant bibliographies and extensive commentaries.

Seller Inventory # 9783540254379

Bibliographic Details

• Title: Variational Analysis and Generalized Differentiation I : Basic Theory
• Publisher: Springer, Springer Spektrum
• Publication Date: 2005
• Language: English
• ISBN 10: 3540254374
• ISBN 13: 9783540254379
• Binding: Buch
• Condition: Neu
• Dimensions: 241W x 160H x 37D millimeters 241 millimeters width by 160 millimeters height by 37 millimeters depth
• Weight: 1062 grams

About this title

Synopsis

Variational analysis is a fruitful area in mathematics that, on one hand, deals with the study of optimization and equilibrium problems and, on the other hand, applies optimization, perturbation, and approximation ideas to the analysis of a broad range of problems that may not be of a variational nature.

This monograph in 2 volumes contains a comprehensive and state-of-the art study of the basic concepts and principles of variational analysis and generalized differentiation in both finite-dimensional and infinite-dimensional spaces and presents numerous applications to problems in optimization, equilibria, stability and sensitivity, control theory, economics, mechanics, etc. The first volume is devoted to the basic theory of variational analysis and generalized differentiations, while the second volume describes various applications. Both volumes include abundant bibliographies and extensive commentaries.

About the Author

Ph.D. in Mathematics (1973); distinguished faculty and lifetime scholar of the Academy of Scholars; more than 200 publications (including books and patents); many outstanding research and teaching awards; numerous invited talks to various meetings (e.g., 15 keynote presentations during the last year); organizer of conference, special sessions, and issues of journals; Editorial Boards of 11 international journals; grants and awards from NSF, NATO, NSERC, BSF, Australian Research Council, etc.