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

Author: Michèle Audin
Publisher: Heidelberg ; New York : Springer-Verlag, ©2011.
Series: Lecture notes in mathematics (Springer-Verlag), 2014.; Lecture notes in mathematics (Springer-Verlag)., History of mathematics subseries.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

Partly based on new and unpublished sources, and featuring fresh biographical material, this volume explores numerous features of the lives and work of the three mathematicians, from their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

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Genre/Form: Biography
Named Person: Gaston Julia; Pierre Fatou; Paul Montel
Document Type: Book
All Authors / Contributors: Michèle Audin
ISBN: 9783642178535 3642178537 9783642178542 3642178545
OCLC Number: 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.
Contents: 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.
Series Title: Lecture notes in mathematics (Springer-Verlag), 2014.; Lecture notes in mathematics (Springer-Verlag)., History of mathematics subseries.
Other Titles: Fatou, Julia, Montel.
Responsibility: Michèle Audin.
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From the reviews: "This is a systematically researched and presented piece of work, with meticulous references. The exposition of the mathematics is particularly clear. ... Audin is aiming this book Read more...

 
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