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Fatou, Julia, Montel

The Great Prize of Mathematical Sciences of 1918, and beyond
BuchKartoniert, Paperback
332 Seiten
Englisch
Springererschienen am30.01.2011
Partly based on new and unpublished sources, and featuring fresh biographical material, this volume explores numerous features of the lives and work of the three mathematicians, from their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 theorems to their place in early 20th century French society.mehr
Verfügbare Formate
BuchKartoniert, Paperback
EUR53,49
E-BookPDF1 - PDF WatermarkE-Book
EUR53,49

Produkt

KlappentextPartly based on new and unpublished sources, and featuring fresh biographical material, this volume explores numerous features of the lives and work of the three mathematicians, from their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 theorems to their place in early 20th century French society.
Details
ISBN/GTIN978-3-642-17853-5
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr2011
Erscheinungsdatum30.01.2011
ReiheHistory of Mathematics Subseries
Seiten332 Seiten
SpracheEnglisch
Gewicht602 g
IllustrationenVIII, 332 p.
Artikel-Nr.10274762

Inhalt/Kritik

Inhaltsverzeichnis
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.mehr
Kritik
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 first and foremost at mathematicians, specifically those mathematicians who are interested in the broad area of mathematics covered in the book, namely complex dynamics. ... Audin's book is not only an interesting read but also an important piece of scholarship." (Christopher Hollings, BSHM Bulletin, Vol. 27 (1), 2012)
"Audin draws the portraits, the environment ... and does it with her own views, her feelings, and her passion for mathematics and for the truth. ... Even specialists in the field will find something new in the book, and nonspecialists will have an excellent introduction to modern complex dynamics. ... For many readers, as for myself, the fact that the author is present on every page with a remark, a comment, and sometimes a mockery, will make it more pleasant and easy to read." (Jean-Pierre Kahane, The Mathematical Intelligencer, Vol. 33 (3), September, 2011)mehr