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Jean-Pierre Dedieu “Points fixes, zéros et la méthode de Newton"

Cet ouvrage est consacré aux points fixes d'applications différentiables, aux zéros de systèmes non-linéaires et à la méthode de Newton. Il s'adresse à des étudiants de mastère ou préparant l'agrégation de mathématique et à des chercheurs confirmés. La première partie est consacrée à la méthode des approximations successives et confronte un point de vue «systèmes dynamiques» (théorèmes de Grobman-Hartman, de la variété stable) à des exemples issus de l'analyse numérique. La seconde partie de cet ouvrage expose la méthode de Newton et ses développements les plus récents (théorie alpha de Smale, systèmes sous ou sur-déterminés). Elle présente une nouvelle approche de ce sujet et un ensemble de résultats originaux publiés pour la première fois dans un ouvrage de langue française.

This is an advanced text on fixed points, zeros of nonlinear systems and the Newton method. Its first part, devoted to fixed points, includes the Grobman-Hartman and the stable manifold theorems. The second part describes the Newton method from a modern point of view: Smale's alpha theory, underdetermined and overdetermined systems of equations. These results are illustrated by various examples from numerical analysis.

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	Science/Engineering Dynamics and Mission Design Near Libration Points, Vol. IV: Advanced Methods for Triangular Points Angel Jorba, Carles Simo, Josep Masdemont, Gerard Gomez, "Dynamics and Mission Design Near Libration Points, Vol. IV: Advanced Methods for Triangular Points"Publisher: World Scientific Publishing Company \| 2001-02-12 \| 273 Pages \| ISBN: 981 ...
	Science/Engineering Newton Polyhedra Without Coordinates: Newton Polyhedra of Ideals Newton Polyhedra Without Coordinates: Newton Polyhedra of Ideals (Memoirs of the American Mathematical Society) Amer Mathematical Society \| October 1990 \| ISBN-10: 0821824953 \| 99 pages \| DJvu \| 1.6 mbThe contributions in this major work f ...
	Dr.Riemann's Zeros Dr.Riemann's Zeros Publisher: Atlantic Books \| ISBN: 1843541017 \| edition 2003 \| PDF \| 304 pages \| 11,7 mbIn 1859 Bernhard Riemann, a shy German mathematician, wrote an eight-page article, suggesting an answer to a problem that had long pu ...
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	Mathematics Points fixes, z¨¦ros et la m¨¦thode de Newton Jean-Pierre Dedieu ¡°Points fixes, z¨¦ros et la m¨¦thode de Newton" Springer \| 2006-03-06 \| ISBN: 3540309950 \| 198 pages \| PDF \| 1,1 MB Cet ouvrage est consacr¨¦ aux points fixes d'applications diff¨¦rentiables, aux z¨¦ros de ...
	Learning Points: 80 Activities and Actions for Call Center Excellence (Learning Points) Author: Peter GarberPublisher: HRD Press, Inc. (2004)Binding: Paperback, 112 pagespricer: $34.95ISBN-10: 0874258073editorialreviews80 fun and effective activities that teach your employees the unique principles of call center customer servi ...

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