Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Calculus of variations --- Form (Philosophy) --- Motion --- Nature (Aesthetics) --- Art and nature --- Nature and art --- Aesthetics --- Kinetics --- Dynamics --- Physics --- Kinematics --- Idealism --- Matter --- Metaphysics --- Structuralism --- Isoperimetrical problems --- Variations, Calculus of --- Maxima and minima --- Calculus of variations. --- Motion. --- Form (Philosophy). --- Nature (Aesthetics).

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Operational research. Game theory --- Mathematical optimization --- Maxima and minima --- 519.8 --- #KVIV --- #WWIS:STAT --- 519.85 --- 681.3*G16 --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Operations research --- Simulation methods --- System analysis --- Minima --- Mathematics --- Operational research --- Mathematical programming --- Optimization: constrained optimization; gradient methods; integer programming; least squares methods; linear programming; nonlinear programming (Numericalanalysis) --- Mathematical optimization. --- Maxima and minima. --- 519.8 Operational research --- 681.3*G16 Optimization: constrained optimization; gradient methods; integer programming; least squares methods; linear programming; nonlinear programming (Numericalanalysis) --- 519.85 Mathematical programming

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Control theory. --- Mathematical optimization. --- Théorie de la commande --- Optimisation mathématique --- Control theory --- Mathematical optimization --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Dynamics --- Machine theory --- Commande, Théorie de la --- Commande, Théorie de la. --- Optimisation mathématique.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Optimal Shape Design is concerned with the optimization of some performance criterion dependent (besides the constraints of the problem) on the "shape" of some region. The main topics covered are: the optimal design of a geometrical object, for instance a wing, moving in a fluid; the optimal shape of a region (a harbor), given suitable constraints on the size of the entrance to the harbor, subject to incoming waves; the optimal design of some electrical device subject to constraints on the performance. The aim is to show that Optimal Shape Design, besides its interesting industrial applications, possesses nontrivial mathematical aspects. The main theoretical tools developed here are the homogenization method and domain variations in PDE. The style is mathematically rigorous, but specifically oriented towards applications, and it is intended for both pure and applied mathematicians. The reader is required to know classical PDE theory and basic functional analysis.

Mathematical optimization. --- Structural optimization --- Mathematics. --- Mathematical optimization --- Optimalisation mathématique --- Wiskundige optimisatie --- Mathematics --- Structural optimization - Mathematics. --- Mathematical analysis. --- Analysis (Mathematics). --- Calculus of variations. --- Analysis. --- Calculus of Variations and Optimal Control; Optimization. --- Isoperimetrical problems --- Variations, Calculus of --- Maxima and minima --- 517.1 Mathematical analysis --- Mathematical analysis

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Available for the first time in paperback, R. Tyrrell Rockafellar's classic study presents readers with a coherent branch of nonlinear mathematical analysis that is especially suited to the study of optimization problems. Rockafellar's theory differs from classical analysis in that differentiability assumptions are replaced by convexity assumptions. The topics treated in this volume include: systems of inequalities, the minimum or maximum of a convex function over a convex set, Lagrange multipliers, minimax theorems and duality, as well as basic results about the structure of convex sets and the continuity and differentiability of convex functions and saddle- functions. This book has firmly established a new and vital area not only for pure mathematics but also for applications to economics and engineering. A sound knowledge of linear algebra and introductory real analysis should provide readers with sufficient background for this book. There is also a guide for the reader who may be using the book as an introduction, indicating which parts are essential and which may be skipped on a first reading.

517.1 --- Convex domains --- Convex regions --- Convexity --- Calculus of variations --- Convex geometry --- Point set theory --- 517.1 Introduction to analysis --- Introduction to analysis --- Mathematical analysis. --- Convex domains. --- 517.1 Mathematical analysis --- Mathematical analysis --- Fonctions convexes --- Convex functions --- Nonlinear functional analysis --- Maxima and minima --- Analyse fonctionnelle non linéaire. --- Maximums et minimums. --- 516.08 --- 51 --- AA / International- internationaal --- Wiskunde --- Operational research. Game theory --- Functional analysis