Linear Differential Equations and Group Th...

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Sprache: Englisch

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Beschreibung

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.

Zusammenfassung

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. The exercises have been retained, making it possible to use the book as a companion to mathematics courses at the graduate level.

Inhaltsverzeichnis

Hypergeometric Equations.- Lazarus Fuchs.- Algebraic Solutions to a Differential Equation.- Modular Equations.- Some Algebraic Curves.- Automorphic Functions.

Details

Erscheinungsjahr:	2008
Fachbereich:	Geometrie
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xx 338 S.
ISBN-13:	9780817647728
ISBN-10:	0817647724
Sprache:	Englisch
Herstellernummer:	12194117
Einband:	Kartoniert / Broschiert
Autor:	Gray, Jeremy
Auflage:	Second Edition 2008
Hersteller:	Birkhäuser Boston
Verantwortliche Person für die EU:	Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com
Maße:	235 x 155 x 20 mm
Von/Mit:	Jeremy Gray
Erscheinungsdatum:	21.01.2008
Gewicht:	0,552 kg