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Ce livre est une initiation aux approches modernes de l optimisation mathematique de formes. On y developpe la methodologie ainsi que les outils d analyse mathematique et de geometrie necessaires a l etude des variations de domaines. On y trouve une etude systematique des questions geometriques associees a l operateur de Laplace, de la capacite classique, de la derivation par rapport a une forme, ainsi qu un FAQ sur les topologies usuelles sur les domaines et sur les proprietes geometriques des formes optimales avec ce qui se passe quand elles n existent pas, le tout avec une importante bibliographie.”
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