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Fatou, Julia, Montel : the great prize of mathematical sciences of 1918, and beyond

Auteur : Michèle Audin
Éditeur : Heidelberg ; New York : Springer-Verlag, ©2011.
Collection : Lecture notes in mathematics (Springer-Verlag), 2014.; Lecture notes in mathematics (Springer-Verlag)., History of mathematics subseries.
Édition/format :   Print book : AnglaisVoir toutes les éditions et tous les formats
Base de données :WorldCat
Résumé :

Partly based on new and unpublished sources, and featuring fresh biographical material, this volume explores numerous features of the lives and work of the three mathematicians, from their central  Lire la suite...

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Détails

Genre/forme : Biography
Personne nommée : Gaston Julia; Pierre Fatou; Paul Montel; Paul Montel
Format : Livre
Tous les auteurs / collaborateurs : Michèle Audin
ISBN : 9783642178535 3642178537 9783642178542 3642178545
Numéro OCLC : 706817469
Notes : Translated from the French by the author; English-language edition includes two additional letters.
"History of mathematics subseries"--Cover.
Description : viii, 332 pages : illustrations (some color), facsimiles ; 24 cm.
Contenu : I The Great Prize, the framework.- I.1 The iteration problem in 1915.- I.2 The protagonists around 1917-1918.- I.3 The war.- I.4 Iteration, a few definitions and notation.- I.5 Normal families.- I.6 Relation to functional equations.- II The Great Prize of Mathematical.- II.1 Year 1917.- II.2 Year 1918.- III The memoirs.- III.1 Julia's memoir.- III.2 The (three) memoir(s) of Fatou.- III.3 Comments (in the first person).- III.4 To summarise.- IV After Fatou and Julia.- IV.1 Stop.- IV.2 Hausdorff distance (1914) and dimension (1919).- IV.3 Irregular points, J-points, O-points (1925-1927).- IV.4 The centre problem (1927-1942).-IV.5 Holomorphic dynamics.-V On Pierre Fatou.-V.1 Childhood and youth of Fatou.- V.2 What do we know of Pierre Fatou?.- V.3 Continuation of Fatou's career.- V.4 Fatou's thesis.- V.5 Fatou as a mathematician.-V.6 Fatou as an astronomer.- V.7 Teaching and candidatures of Fatou.- V.8 Fatou and other mathematicians.- V.9 Death of Fatou.- VI A controversy in 1965.- VI.1 The protagonists, from 1918 to 1965.- VI.2 Relations between Julia and Montel, in the 1930's.- VI.3 The third centenary of the Institut de France VI.4.- As a conclusion: O for a biography of Gaston Julia.- References.-Index.
Titre de collection : Lecture notes in mathematics (Springer-Verlag), 2014.; Lecture notes in mathematics (Springer-Verlag)., History of mathematics subseries.
Autres titres : Fatou, Julia, Montel.
Responsabilité : Michèle Audin.

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From the book reviews: "Book is a most welcome addition to the conversation involving complex dynamics and its history. It is also a valuable and human account of the Parisian mathematical community Lire la suite...

 
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