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Variation et optimisation de formes
Une analyse géométrique
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Ce livre est une initiation aux approches modernes de l'optimisation mathimatique de formes. Il s'appuie sur les seules connaissances de premihre annie de Master de mathimatiques, mais permet dij d'aborder les questions ouvertes dans ce domaine en pleine effervescence. On y diveloppe la mithodologie ainsi que les outils d'analyse mathimatique et de giomitrie nicessaires l'itude des variations de domaines. On y trouve une itude systimatique des questions giomitriques associies l'opirateur de Laplace, de la capaciti classique, de la dirivation par rapport une forme, ainsi qu'un FAQ sur les topologies usuelles sur les domaines et sur les propriitis giomitriques des formes optimales avec ce qui se passe quand elles n'existent pas, le tout avec une importante bibliographie.
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ISBNs
3540376895
9783540262114
9783540376897