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A. Blaquière: Quelques aspects géométriques des processus optimaux.- C. Castaing: Quelques problèmes de mesurabilité liés à la théorie des commandes.- L. Cesari: Existence theorems for Lagrange and Pontryagin problems of the calculus of variations and optimal control of more-dimensional extensions in Sobolev space.- H. Halkin: Optimal control as programming in infinite dimensional spaces.- C. Olech: The range of integrals of a certain class vector-valued functions.- E. Rothe: Weak topology and calculus of variations.- E.O. Roxin: Problems about the set of attainability.

Calculus of variations -- Congresses. --- Calculus of variations -- Research. --- Civil & Environmental Engineering --- Mathematics --- Physical Sciences & Mathematics --- Engineering & Applied Sciences --- Operations Research --- Calculus --- Mathematics. --- Calculus of variations. --- Calculus of Variations and Optimal Control; Optimization. --- Mathematical optimization. --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Isoperimetrical problems --- Variations, Calculus of

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H. Busemann: The synthetic approach to Finsler spaces in the large.- E.T. Davies: Vedute generali sugli spazi variazionali.- D. Laugwitz: Geometrical methods in the differential geometry of Finsler spaces.- V.V. Wagner: Geometria del calcolo delle variazioni.

Calculus. --- Calculus of tensors. --- Geometry, Analytic. --- Geometry, Differential. --- Mathematics --- Physical Sciences & Mathematics --- Geometry --- Geometry. --- Analysis (Mathematics) --- Fluxions (Mathematics) --- Infinitesimal calculus --- Limits (Mathematics) --- Mathematics. --- Differential geometry. --- Calculus of variations. --- Differential Geometry. --- Calculus of Variations and Optimal Control; Optimization. --- Mathematical analysis --- Functions --- Geometry, Infinitesimal --- Euclid's Elements --- Global differential geometry. --- Mathematical optimization. --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Geometry, Differential --- Differential geometry --- Isoperimetrical problems --- Variations, Calculus of

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Variational methods give an efficient and elegant way to formulate and solve mathematical problems that are of interest to scientists and engineers. In this book three fundamental aspects of the variational formulation of mechanics will be presented: physical, mathematical and applicative ones. The first aspect concerns the investigation of the nature of real physical problems with the aim of finding the best variational formulation suitable to those problems. The second aspect is the study of the well-posedeness of those mathematical problems which need to be solved in order to draw previsions from the formulated models. And the third aspect is related to the direct application of variational analysis to solve real engineering problems.

Fluid mechanics. --- Solids. --- Engineering. --- Calculus of variations. --- Mechanics. --- Mechanics, Applied. --- Theoretical and Applied Mechanics. --- Calculus of Variations and Optimal Control; Optimization. --- Solid state physics --- Transparent solids --- Hydromechanics --- Continuum mechanics --- Mechanics, applied. --- Mathematical optimization. --- Classical Mechanics. --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Isoperimetrical problems --- Variations, Calculus of

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Nonconvex Optimization is a multi-disciplinary research field that deals with the characterization and computation of local/global minima/maxima of nonlinear, nonconvex, nonsmooth, discrete and continuous functions. Nonconvex optimization problems are frequently encountered in modeling real world systems for a very broad range of applications including engineering, mathematical economics, management science, financial engineering, and social science. This contributed volume consists of selected contributions from the Advanced Training Programme on Nonconvex Optimization and Its Applications held at Banaras Hindu University in March 2009. It aims to bring together new concepts, theoretical developments, and applications from these researchers. Both theoretical and applied articles are contained in this volume which adds to the state of the art research in this field. Topics in Nonconvex Optimization is suitable for advanced graduate students and researchers in this area. .

Mathematics. --- Nonsmooth optimization. --- Quasidifferential calculus. --- Nonconvex programming --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Operations Research --- Mathematical optimization. --- Nonconvex programming. --- Convex functions. --- Global optimization --- Non-convex programming --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Functions, Convex --- Calculus of variations. --- Operations research. --- Management science. --- Operations Research, Management Science. --- Optimization. --- Calculus of Variations and Optimal Control; Optimization. --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Functions of real variables --- Programming (Mathematics) --- Isoperimetrical problems --- Variations, Calculus of --- Quantitative business analysis --- Management --- Problem solving --- Statistical decision --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory

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This book presents a largely self-contained account of the main results of convex analysis, monotone operator theory, and the theory of nonexpansive operators in the context of Hilbert spaces. Unlike existing literature, the novelty of this book, and indeed its central theme, is the tight interplay among the key notions of convexity, monotonicity, and nonexpansiveness. The presentation is accessible to a broad audience and attempts to reach out in particular to the applied sciences and engineering communities, where these tools have become indispensable. Graduate students and researchers in pure and applied mathematics will benefit from this book. It is also directed to researchers in engineering, decision sciences, economics, and inverse problems, and can serve as a reference book. Author Information: Heinz H. Bauschke is a Professor of Mathematics at the University of British Columbia, Okanagan campus (UBCO) and currently a Canada Research Chair in Convex Analysis and Optimization. He was born in Frankfurt where he received his "Diplom-Mathematiker (mit Auszeichnung)" from Goethe Universität in 1990. He defended his Ph.D. thesis in Mathematics at Simon Fraser University in 1996 and was awarded the Governor General's Gold Medal for his graduate work. After a NSERC Postdoctoral Fellowship spent at the University of Waterloo, at the Pennsylvania State University, and at the University of California at Santa Barbara, Dr. Bauschke became College Professor at Okanagan University College in 1998. He joined the University of Guelph in 2001, and he returned to Kelowna in 2005, when Okanagan University College turned into UBCO. In 2009, he became UBCO's first "Researcher of the Year". Patrick L. Combettes received the Brevet d'Études du Premier Cycle from Académie de Versailles in 1977 and the Ph.D. degree from North Carolina State University in 1989. In 1990, he joined the City College and the Graduate Center of the City University of New York where he became a Full Professor in 1999. Since 1999, he has been with the Faculty of Mathematics of Université Pierre et Marie Curie -- Paris 6, laboratoire Jacques-Louis Lions, where he is presently a Professeur de Classe Exceptionnelle. He was elected Fellow of the IEEE in 2005.

Numerical methods of optimisation --- Computer science --- Computer architecture. Operating systems --- visualisatie --- algoritmen --- kansrekening --- optimalisatie --- Hilbert space --- Nonlinear functional analysis --- Monotone operators --- Espace de Hilbert --- Analyse fonctionnelle non linéaire --- Opérateurs monotones --- EPUB-LIV-FT LIVMATHE LIVSTATI SPRINGER-B --- Hilbert space. --- Approximation theory. --- Monotone operators. --- Nonlinear functional analysis. --- Functional analysis --- Nonlinear theories --- Operator theory --- Theory of approximation --- Functions --- Polynomials --- Chebyshev systems --- Banach spaces --- Hyperspace --- Inner product spaces --- Approximation theory --- Calculus of variations. --- Algorithms. --- Mathematics. --- Visualization. --- Calculus of Variations and Optimal Control; Optimization. --- Math --- Science --- Isoperimetrical problems --- Variations, Calculus of --- Maxima and minima --- Visualisation --- Imagination --- Visual perception --- Imagery (Psychology) --- Algorism --- Algebra --- Arithmetic --- Foundations