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Introduction to the Calculus of Variationsby Bernard Dacorogna
World Scientific 2005; US$ 70.20This book, containing more than 70 exercises with detailed solutions, is well designed for a course both at the undergraduate and graduate levels. more...
Singular Sets of Minimizers for the Mumford-Shah Functionalby David Guy
Springer 2005; US$ 169.00This is the award-winning monograph of the Ferran Sunyer i Balaguer Prize 2004. This book studies regularity properties of Mumford-Shah minimizers. The Mumford-Shah functional was introduced in the 1980s as a tool for automatic image segmentation, but its study gave rise to many interesting questions of analysis and geometric measure theory. The main object under scrutiny is a free boundary K where the minimizer may have jumps. The book presents an extensive description of the known regularity properties of the singular sets K, and the techniques to get them. Some time is spent on the regularity theorem (with an essentially unpublished proof in dimension, but a good part of the book is devoted to applications of A. Bonnet's monotonicity and... more...
Variational Analysis and Generalized Differentiationby Boris S. Mordukhovich
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2005; US$ 119.00Contains a comprehensive 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, and more. more...
Equilibrium Models and Variational Inequalitiesby Igor Konnov
Elsevier 2007; US$ 145.00The concept of equilibrium plays a central role in various applied sciences, such as physics (especially, mechanics), economics, engineering, transportation, sociology, chemistry, biology and other fields. If one can formulate the equilibrium problem in the form of a mathematical model, solutions of the corresponding problem can be used for forecasting the future behavior of very complex systems and, also, for correcting the the current state of the system under control. This book presents a unifying look on different equilibrium concepts in economics, including several models from related sciences. - Presents a unifying look on different equilibrium concepts and also the present state of investigations in this field - Describes static... more...
Turnpike Properties in the Calculus of Variations and Optimal Controlby Alexander J. Zaslavski
Springer-Verlag New York Inc 2005; US$ 84.95Focuses on the progress in turnpike theory. This book presents a number of results concerning the turnpike properties in the calculus of variations and optimal control . These results show that the turnpike properties form a general phenomenon which holds for various classes of variational problems and optimal control problems. more...
Variational Analysis and Generalized Differentiation Iby Boris S. Mordukhovich
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2006; US$ 119.00Contains a study of the basic concepts and principles of variational analysis and generalized differentiation in both finite-dimensional and infinite-dimensional spaces. This title presents many applications to problems in optimization, equilibria, stability and sensitivity, control theory, economics, mechanics, and more. more...
Holomorphic Morse Inequalities and Bergman Kernelsby Xiaonan Ma; George Marinescu
Springer 2007; US$ 99.00Gives a self-contained approach of holomorphic Morse inequalities and the asymptotic expansion of the Bergman kernel on manifolds by using the heat kernel. This book opens perspectives on several active areas of research in complex, Kahler and symplectic geometry. more...
Nonsmooth Variational Problems and their Inequalitiesby Siegfried Carl; Vy Khoi; Dumitru Motreanu
Springer 2007; US$ 99.00Aims to provide a systematic and unified exposition of comparison principles based on a suitably extended sub-supersolution method. This method is an effective and flexible technique to obtain existence and comparison results of solutions. Also, it can be employed for the investigation of various qualitative properties. more...
Variational Analysis and Applicationsby Franco Giannessi; Antonino Maugeri
Springer 2005; US$ 367.00Discusses a discipline, variational analysis, which contains the calculus of variations, differential calculus, optimization, and variational inequalities. To such branches of mathematics, variational analysis provides a uniform theoretical base that represents a tool for the applications. more...
Trees and Hillsby R. Greer
Elsevier 1984; US$ 223.00Trees and Hills: Methodology for Maximizing Functions of Systems of Linear Relations more...









