Gaston Julia

Template:Short description Template:Use dmy dates Template:Infobox scientist Gaston Maurice Julia (3 February 1893 – 19 March 1978) was a French mathematician who devised the formula for the Julia set. His works were popularized by Benoit Mandelbrot; the Julia and Mandelbrot fractals are closely related. He founded, independently with Pierre Fatou, the modern theory of holomorphic dynamics.

Military service

Julia was born in the Algerian town of Sidi Bel Abbès, at the time governed by the French. During his youth, he had an interest in mathematics and music. His studies were interrupted at the age of 21, when France became involved in World War I and Julia was conscripted to serve with the army. During an attack he suffered a severe injury, losing his nose. His many operations to remedy the situation were all unsuccessful, and for the rest of his life he resigned himself to wearing a leather strap around the area where his nose had been.

Career in mathematics

Julia gained attention for his mathematical work at the age of 25, in 1918, when his 199-page Mémoire sur l'itération des fonctions rationnelles ("Memoir on the Iteration of Rational Functions") was featured in the Journal de Mathématiques Pures et Appliquées.<ref>Template:Cite journal</ref> This article gained immense popularity among mathematicians and earned him the Grand Prix des Sciences Mathématiques of the French Academy of Sciences in 1918. But after this brief moment of fame, his works were mostly forgotten<ref>Ari Ben-Menahem: Historical Encyclopedia of Natural and Mathematical Sciences, Springer, Template:ISBN, p. 3427</ref> until Benoit Mandelbrot mentioned them in his works on fractals in the French book Les Objets Fractals: Forme, Hasard et Dimension, later translated in 1977 as Fractals: Form, Chance and Dimension.<ref>Fractals: Form, Chance and Dimension, by Benoît Mandelbrot; W H Freeman and Co, 1977; Template:Isbn</ref>

Example of a Julia set (C = [0.285, 0.01]).

On 19 March 1978, Julia died in Paris at the age of 85.

Julia was also father to Marc Julia,<ref>Template:Cite journal</ref> the French organic chemist who invented the Julia olefination.

World War Two and collaboration

Julia collaborated with Nazi Germany during the occupation of France; recruiting French mathematicians to collaborate with the Zentralblatt für Mathematik.<ref>Template:Cite journal</ref> He was suspended for a few weeks after the liberation of France,<ref>Template:Cite book</ref> but according to Michèle Audin:<ref>Template:Cite book</ref> Template:Blockquote

Books

• Oeuvres, 6 vols., Paris, Gauthier-Villars 1968-1970 (eds. Jacques Dixmier, Michel Hervé, with foreword by Julia)
• Leçons sur les Fonctions Uniformes à Point Singulier Essentiel Isolé, Gauthier-Villars 1924<ref>Template:Cite journal</ref> (rédigées par P. Flamant)
• Eléments de géométrie infinitésimale, Gauthier-Villars 1927
• Cours de Cinématique, Gauthier-Villars 1928, 2nd edition 1936<ref>Template:Cite journal</ref>
• Exercices d'Analyse, 4 vols., Gauthier-Villars, 1928–1938, 2nd edition 1944, 1950
• Principes Géométriques d'Analyse, 2 vols., Gauthier-Villars, 1930,<ref>Template:Cite journal</ref> 1932<ref>Template:Cite journal</ref>
• Essai sur le Développement de la Théorie des Fonctions de Variables Complexes, Gauthier-Villars 1933<ref>Template:Cite journal</ref>
• Introduction Mathématique aux Theories Quantiques, 2 vols., Gauthier-Villars 1936, 1938,<ref>Template:Cite journal</ref> 2nd edition 1949, 1955
• Eléments d'algèbre, Gauthier-Villars 1959
• Cours de Géométrie, Gauthier-Villars 1941
• Cours de géométrie infinitésimale, Gauthier-Villars, 2nd edition 1953
• Exercices de géométrie, 2 vols., Gauthier-Villars 1944, 1952
• Leçons sur la représentation conforme des aires simplement connexes, Gauthier-Villars 1931, 2nd edition 1950
• Leçons sur la représentation conforme des aires multiplement connexes, Gauthier-Villars 1934
• Traité de Théorie de Fonctions, Gauthier-Villars 1953
• Leçons sur les fonctions monogènes uniformes d'une variable complexe, Gauthier-Villars 1917
• Étude sur les formes binaires non quadratiques à indéterminées réelles ou complexes, ou à indéterminées conjuguées, Gauthier-Villars 1917

See also

• Mandelbrot set

External links

• Template:MacTutor Biography
• Template:MathGenealogy
• Memoir on iteration of rational functions, English translation in parts: 1/7 Template:Webarchive,2/7 Template:Webarchive, 3/7 Template:Webarchive,4/7 Template:Webarchive,5/7 Template:Webarchive,6/7 Template:Webarchive,7/7 Template:Webarchive.
• Downloadable articles at Numdam.
• Christoph Dötsch, Dynamik meromorpher Funktionen auf der Riemannschen Zahlenkugel, Diplomica GmbH Hamburg (2008)
• Daniel Alexander, Felice Iavernaro, Alessandro Rosa: Early days in complex dynamics: a history of complex dynamics in one variable during 1906-1942, History of Mathematics 38, American Mathematical Society 2012