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The scientific legacy of Poincaré

Verfasser/in: Éric Charpentier; E Ghys; Annick Lesne
Verlag: Providence, R.I. : American Mathematical Society ; London : London Mathematical Society, ©2010.
Serien: History of mathematics, v. 36.
Ausgabe/Format   Buch : EnglischAlle Ausgaben und Formate anzeigen
Datenbank:WorldCat
Zusammenfassung:

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,  Weiterlesen…

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Gattung/Form: Aufsatzsammlung
Name: Henri Poincaré; Henri Poincaré; Henri Poincaré
Medientyp: Internetquelle
Dokumenttyp: Buch, Internet-Ressource
Alle Autoren: Éric Charpentier; E Ghys; Annick Lesne
ISBN: 9780821847183 082184718X
OCLC-Nummer: 426389803
Beschreibung: xiii, 391 p. : ill. ; 27 cm.
Inhalt: 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.
Serientitel: History of mathematics, v. 36.
Andere Titel Heritage scientifique de Poincare.
Verfasserangabe: Éric Charpentier, Étienne Ghys, Annick Lesne, editors ; translated by Joshua Bowman.

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