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The scientific legacy of Poincaré

Auteur : Éric Charpentier; E Ghys; Annick Lesne
Éditeur : Providence, R.I. : American Mathematical Society ; London : London Mathematical Society, ©2010.
Collection : History of mathematics, v. 36.
Édition/format :   Print book : AnglaisVoir toutes les éditions et tous les formats
Base de données :WorldCat
Résumé :

Henri Poincare (1854-1912) was one of the greatest scientists of his time, perhaps the last one to have mastered and expanded almost all areas in mathematics and theoretical physics. In this book,  Lire la suite...

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Détails

Genre/forme : Aufsatzsammlung
Personne nommée : Henri Poincaré; Henri Poincaré; Henri Poincaré
Type d’ouvrage : Ressource Internet
Format : Livre, Ressource Internet
Tous les auteurs / collaborateurs : Éric Charpentier; E Ghys; Annick Lesne
ISBN : 9780821847183 082184718X
Numéro OCLC : 426389803
Description : xiii, 391 p. : ill. ; 27 cm.
Contenu : Poincaré and his disk / Étienne Ghys --
Differential equations with algebraic coefficients over arithmetic manifolds / Nicolas Bergeron --
Poincaré and analytic number theory / Emmanuel Kowalski --
The theory of limit cycles / Jean-Pierre Françoise --
Singular points of differential equations: on a theorem of Poincaré / Dominique Cerveau --
Periodic orbits of the three-body problem: early history, contributions of Hill and Poincaré, and some recent developments / Michael Nauenberg --
On the existence of closed geodesics / Nalini Anantharaman --
Poincaré's memoir for the prize of King Oscar II: celestial harmony entangled in homoclinic intersections / François Béguin --
Variations of Poincaré's recurrence theorem / Étienne Ghys --
Low-dimensional chaos and asymptotic time behavior in the mechanics of fluids / Guido Boffetta, Guglielmo Lacorata, and Angelo Vulpiani --
The concept of "residue" after Poincaré: cutting across all of mathematics / Alain Yger --
The proof of the Poincaré conjecture, according to Perelman / Laurent Bessières, Gérard Besson, and Michel Boileau --
Henri Poincaré and the partial differential equations of mathematical physics / Jean Mawhin --
Poincaré's Calculus of probabilities / Pierre Cartier --
Poincaré and geometric probability / Michel Mendès France --
Poincaré, the lie's third theorem / Pierre-Paul Grivel --
The Poincaré group / Michel Le Bellac --
Henri Poincaré as an applied mathematician / Yves Pomeau --
Henri Poincaré and his thoughts on the philosophy of science / Gerhard Heinzmann.
Titre de collection : History of mathematics, v. 36.
Autres titres : Heritage scientifique de Poincare.
Responsabilité : Éric Charpentier, Étienne Ghys, Annick Lesne, editors ; translated by Joshua Bowman.

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