Linear Differential Equations and Group Theory from Riemann to Poincaré

• Main Author: Gray, Jeremy J. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Birkhäuser Boston, 2008.
• Edition: Second Edition.
• Series: Modern Birkhäuser Classics
• Subjects: Mathematics.; Group theory.; Functional analysis.; Functions of complex variables.; Differential equations.; Geometry.; History.; Functional Analysis.; History of Mathematical Sciences.; Group Theory and Generalizations.; Ordinary Differential Equations.; Functions of a Complex Variable.

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...

Table of Contents:

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