Fatou, Julia, Montel

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)

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.