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Advances in Complex Function Theory (Lecture Notes in Mathematics) by W. E. Kirwan (Repost)
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Mathematics Introduction aux m¨¦thodes num¨¦riques
Posted on 2010-04-12
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More Franck Jedrzejewski ¡°Introduction aux m¨¦thodes num¨¦riques" Au cours de lhistoire, les m¨¦thodes de calcul ont ¨¦t¨¦ lexpression de pratiques sans cesse renouvel¨¦es. Le d¨¦veloppement de linformatique a largement contribu¨¦ ¨¤ une rapide progression de lensemble des techniques num¨¦riques. En moins de cinquante ans, le paysage algorithmique a ¨¦t¨¦ compl¨¨tement transform¨¦. Aujourdhui, la plupart des logiciels que nous employons font appel ¨¤ des m¨¦thodes de plus en plus efficaces. Dans les simulations, comme dans les mod¨¦lisations, lanalyse num¨¦rique occupe une place centrale. Composants essentiels de la vie scientifique, les m¨¦thodes et algorithmes qui sont pr¨¦sent¨¦s ici, illustr¨¦s par de nombreux exemples, sont mis ¨¤ la port¨¦e de tous. De lapproximation polynomiale ¨¤ la r¨¦solution d¨¦quations aux d¨¦riv¨¦es partielles par des m¨¦thodes de diff¨¦rences, de volumes et d¨¦l¨¦ments finis, ce livre offre un large panorama des m¨¦thodes num¨¦riques actuelles. Il sappuie sur une exp¨¦rience dune dizaine dann¨¦es denseignement et sadresse ¨¤ un public tr¨¨s vari¨¦: ¨¦tudiants en sciences, ¨¦l¨¨ves d¨¦coles ding¨¦nieur ou de classes pr¨¦paratoires qui souhaiteraient acqu¨¦rir rapidement les bases des m¨¦thodes num¨¦riques. Cette seconde ¨¦dition offre des compl¨¦ments danalyse matricielle et un nouveau chapitre sur les ¨¦quations de la physique math¨¦matique, qui sont au cur des pr¨¦occupations daujourdhui. "
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