Fatou, Julia, Montel : The Great Prize of Mathematical Sciences of 1918, and Beyond / by Michèle Audin.

Format:

Book

Author/Creator:

Audin, Michèle, author.

Contributor:

SpringerLink (Online service)

Series:

Lecture notes in mathematics (Springer-Verlag). History of mathematics subseries 2193-1771 ; 2014.

History of Mathematics Subseries, 2193-1771 ; 2014

Language:

English

Subjects (All):

Differentiable dynamical systems.

History of Mathematical Sciences.

Dynamical Systems and Ergodic Theory.

Local Subjects:

History of Mathematical Sciences.

Dynamical Systems and Ergodic Theory.

Physical Description:

1 online resource (VIII, 332 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011.

System Details:

text file PDF

Summary:

How did Pierre Fatou and Gaston Julia create what we now call Complex Dynamics, in the context of the early twentieth century and especially of the First World War? The book is based partly on new, unpublished sources.Who were Pierre Fatou, Gaston Julia, Paul Montel? New biographical information is given on the little known mathematician that was Pierre Fatou. How did the serious WW1 injury of Julia influence mathematical life in France? From the reviews of the French edition: "Audin's book is indeed filled with marvelous biographical information and analysis, dealing not just with the men mentioned in the book's title but a large number of other players, too ... . the book under review addresses itself to scholars for whom the history of mathematics has a particular resonance and especially to mathematicians active, or even with merely an interest in, complex dynamics. ... presents it all to the reader in a very appealing form." (Michael Berg, The Mathematical Association of America, October 2009).

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.

Other Format:

Printed edition:

ISBN:

9783642178542

Access Restriction:

Restricted for use by site license.