Téléchargez le livre : The Origins of Holomorphic Dynamics

The Origins of Holomorphic Dynamics

A Historical Study of the Topic Selected for the Grand Prix des Mathématiques (1915–1918)

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Éditeur :

Birkhäuser


Paru le : 2026-02-13



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Description

This book offers a historical and analytical study of the origins of holomorphic dynamics—a field linking analytic functions with the behavior of iterated orbits. Central to this account is the 1915–1918 Grand Prix des Sciences Mathématiques, whose winning manuscript extended local research to the entire Riemann sphere and highlighted the striking properties of boundaries between basins of convergence.
Viewed broadly, this event marked a convergence of research traditions from the eighteenth and nineteenth centuries—infinitesimal calculus, singular points, infinite series, functional equations, root separation, complex analysis, multi-valued functions, and sequences of functions—each a cornerstone for the general theory that now holds a prominent place in modern analysis.
Drawing on unpublished archival material, original French sources, and the intellectual context of early twentieth-century mathematics, the book reconstructs how scientific ambitions and evolving techniques shaped foundational developments in the analysis of complex functions and their iterative dynamics. Blending historical narrative with critique and technical insight, it will appeal to scholars and students interested in the history of mathematics, holomorphic dynamics, and the interplay between ideas and their historical milieu.
Pages
512 pages
Collection
n.c
Parution
2026-02-13
Marque
Birkhäuser
EAN papier
9783032171054
EAN PDF
9783032171061
Informations sur l'ebook
Nombre pages copiables
5
Nombre pages imprimables
51
Taille du fichier
30013 Ko
Ce livre est accessible aux handicaps Voir les informations sur l'accessibilité
Prix
168,79 €

Alessandro Rosa is a freelance researcher in the history of mathematics, and co-author of the book "Early Days in Complex Dynamics: A History of Complex Dynamics in One Variable During 1906-1942", co-published by the AMS and the London Mathematical Society in 2011.

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