Linear differential equations and group theory from Riemann to Poincaré / Jeremy J. Gray

Date : 2008

Type : Livre / Book

Langue / Language : anglais / English

ISBN : 978-0-8176-4772-8

ISBN : 0-8176-4772-4

EAN : 9780817647728

Groupes, Théorie des -- Histoire

Équations différentielles linéaires -- Histoire

Classification Dewey : 515.354

Gray, Jeremy John (1947-.... ; mathématicien) (Auteur / author)

Collection : Modern Birkhäuser classics / New York, N.Y : Birkhäuser , 1980-

Relation : Linear Differential Equations and Group Theory from Riemann to Poincaré / Jeremy J. Gray. / 2nd édition / Boston, MA : Birkhäuser Boston

Relation : Linear differential equations and group theory from Riemann to Poincaré / Jeremy J. Gray / 2nd edition / Boston : Birkhauser

Résumé / Abstract : This book is a study of how a particular vision of the unity of mathematics, often called geometric function theory, was created in the 19th century. The central focus is on the convergence of three mathematical topics: the hypergeometric and related linear differential equations, group theory, and on-Euclidean geometry. The text for this second edition has been greatly expanded and revised, and the existing appendices enriched with historical accounts of the Riemann–Hilbert problem, the uniformization theorem, Picard–Vessiot theory, and the hypergeometric equation in higher dimensions. The exercises have been retained, making it possible to use the book as a companion to mathematics courses at the graduate level. [source : 4ème de couv.]