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The scientific legacy of Poincaré

Author: Éric Charpentier; E Ghys; Annick Lesne
Publisher: Providence, R.I. : American Mathematical Society ; London : London Mathematical Society, ©2010.
Series: History of mathematics, v. 36.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
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Genre/Form: Aufsatzsammlung
Named Person: Henri Poincaré; Henri Poincaré; Henri Poincaré
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Éric Charpentier; E Ghys; Annick Lesne
ISBN: 9780821847183 082184718X
OCLC Number: 426389803
Description: xiii, 391 p. : ill. ; 27 cm.
Contents: 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.
Series Title: History of mathematics, v. 36.
Other Titles: Heritage scientifique de Poincare.
Responsibility: Éric Charpentier, Étienne Ghys, Annick Lesne, editors ; translated by Joshua Bowman.

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