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At the close of the 1980s, the independent contributions of Yann Brenier, Mike Cullen and John Mather launched a revolution in the venerable field of optimal transport founded by G. Monge in the 18th century, which has made breathtaking forays into various other domains of mathematics ever since. The author presents a broad overview of this area, supplying complete and self-contained proofs of all the fundamental results of the theory of optimal transport at the appropriate level of generality. Thus, the book encompasses the broad spectrum ranging from basic theory to the most recent research results. PhD students or researchers can read the entire book without any prior knowledge of the field. A comprehensive bibliography with notes that extensively discuss the existing literature underlines the book’s value as a most welcome reference text on this subject. .

Dynamics. --- Geometry, Differential. --- Mathematical optimization. --- Probabilities. --- Transportation problems (Programming). --- Mathematical optimization --- Transportation problems (Programming) --- Probabilities --- Dynamics --- Geometry, Differential --- Mathematics --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Calculus --- Operations Research --- Differential geometry --- Dynamical systems --- Kinetics --- Probability --- Statistical inference --- Transport problems (Programming) --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematics. --- Partial differential equations. --- Differential geometry. --- Calculus of variations. --- Partial Differential Equations. --- Calculus of Variations and Optimal Control; Optimization. --- Differential Geometry. --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk --- Linear programming --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Differential equations, partial. --- Global differential geometry. --- Partial differential equations --- Isoperimetrical problems --- Variations, Calculus of --- Optimisation mathématique --- Problèmes de transport (Programmation) --- Probabilités --- Dynamique --- Géométrie différentielle

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Mathematics --- Mathematicians

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Intelligence artificielle. --- Santé publique --- Entreprises --- Environnement --- Effets des innovations technologiques. --- Effets des innovations technologiques. --- Effets des innovations technologiques.

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La collection de modèles de l'Institut Henri Poincaré, forte d'environ 600 modèles, et qui fascina de nombreux artistes, comme Man Ray, s'est construite sur un siècle et demi. Relater quelques traits saillants de cette entreprise scientifique, pédagogique et culturelle, étudier certains de ses modèles les plus emblématiques, observer ce que l'informatique et l'impression 3D ont apporté à ces questions, se demander comment l'on peut représenter dans notre univers à 3 dimensions des objets mathématiques qui en comportent 4... tel est le but de cet ouvrage, superbement illustré (4ème de couv.)

Mathématiques --- Modélisation

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Des robots qui parlent latin et grec ? Il ne s'agit pas de science-fiction mais bien de la fabuleuse histoire des machines de l'Antiquité et de leurs ingénieurs de génie, du mythique Héphaïstos, dieu de la forge et patron des « techniciens », qui inventa le premier automate de l'histoire, aux réalisations surprenantes des « mécaniciens » grecs et romains dans tous les domaines de la « haute technologie ».À travers une centaine de textes en traduction, cet ouvrage montre sous un angle original et divertissant aussi bien les robots imaginés par les poètes que les ingénieuses mécaniques des savants alexandrins ainsi que les premières réflexions des philosophes sur la question de l'intelligence artificielle.

Machinerie de théâtres --- Théâtre (genre littéraire) antique --- Décors de théâtre --- Machines --- Mécanique --- Ingénieurs --- Robots --- Automates --- Ingénierie --- Histoire. --- Technology --- Robotics --- Machinery --- Artificial intelligence --- History --- Mythology --- Technology - Greece - History --- Technology - Rome - History --- Robotics - History --- Robotics - Mythology --- Machinery - History --- Robots - Mythology --- Artificial intelligence - History