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.
| ISBN: | 9783642064821 |
| Publication date: | 12th February 2010 |
| Author: | B Sh Mordukhovich |
| Publisher: | Springer an imprint of Springer Berlin Heidelberg |
| Format: | Paperback |
| Pagination: | 582 pages |
| Series: | Grundlehren Der Mathematischen Wissenschaften |
| Genres: |
Optimization Numerical analysis Calculus and mathematical analysis Applied mathematics |
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.
Variational Analysis and Generalized Differentiation. I Basic Theory features in the following genres: Optimization, Numerical analysis, Calculus and mathematical analysis, Applied mathematics
Paperback. Not Available.
Variational Analysis and Generalized Differentiation. I Basic Theory was written by B Sh Mordukhovich and published by Springer an imprint of Springer Berlin Heidelberg
Variational Analysis and Generalized Differentiation. I Basic Theory has 582 pages
Yes it is part of Grundlehren Der Mathematischen Wissenschaften series