Linear differential equations and group theory from Riemann to Poincaré
著者
書誌事項
Linear differential equations and group theory from Riemann to Poincaré
（Modern Birkhäuser classics）
Birkhäuser, 2008
2nd ed.
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注記
Includes bibliographical references and index
Reprint of the 2000 second edition
内容説明・目次
内容説明
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.
目次
Hypergeometric Equations.- Lazarus Fuchs.- Algebraic Solutions to a Differential Equation.- Modular Equations.- Some Algebraic Curves.- Automorphic Functions.
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