Description 
1 online resource (2 volumes) : illustrations 
Series 
Grundlehren der mathematischen Wissenschaften, 00727830 ; 330331 

Grundlehren der mathematischen Wissenschaften ; 330.


Grundlehren der mathematischen Wissenschaften ; 331.

Contents 
1. Basic theory  2. Applications 
Summary 
Variational analysis has been recognized as a fruitful area in mathematics that on the 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 natur. One of the most characteristic features of modern variational analysis is the intrinsic presence of nonsmoothness, which naturally enters not only through initial data of optimizationrelated problems but largely via variational principles and perturbation techniques. Thus generalized differential lies at the hear of variational analysis and its applications. This monographs contains a comprehensive and and stateofthe art study of the basic concepts and principles of variational analysis and generalized differentiation in both finitedimensional and infinite dimensional spaces and presents numerous applications to problems in the optimization, equilibria, stability and sensitivity, control theory, economics, mechanics, etc. The book is published in two volumes, the first of which is mainly devoted to the basic theory of variational analysis and generalized differentiations, while the second volume contains various applications. Both volumes contain abundant bibliographies and extensive commentaries. This book will be of interest to researchers and graduate students in mathematical sciences. It may also be useful to a broad range of researchers, practitioners, and graduate students involved in the study and applications of variational methods in economics, engineering, control systems, operations research, statistics, mechanics, and other applied sciences 
Analysis 
wiskunde 

mathematics 

optimalisatie 

optimization 

toegepaste wiskunde 

applied mathematics 

calculus 

optimale controle 

optimal control 

numerieke methoden 

numerical methods 

Mathematics (General) 

Wiskunde (algemeen) 
Bibliography 
Includes bibliographical references and indexes 
Notes 
Print version record 
In 
OhioLINK electronic book center 

SpringerLink 
Subject 
Calculus of variations.


Generalized spaces.


Mathematical optimization.


Existence theorems.


Mathematical analysis.


Numerical differentiation.


CĂˇlculo de variaciones


Espacios generalizados


Calculus of variations


Existence theorems


Generalized spaces


Mathematical analysis


Mathematical optimization


Numerical differentiation

Form 
Electronic book

ISBN 
9783540312475 

3540312471 

9783540312468 

3540312463 
