Linear Differential Equations and Group Theory from Riemann to Poincaré, Second Edition (Softcover)
Linear Differential Equations and Group Theory from Riemann to Poincaré, Second Edition (Softcover)
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From the back cover: "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 [non]-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."
BRIEF CONTENTS
- Introduction to the Second Edition
- Introduction to the First Edition
- Chapter I - Hypergeometric Equations and Modular Equations
- Chapter II - Lazarus Fuchs
- Chapter III - Algebraic Solutions to a Differential Equation
- Chapter IV - Modular Equations
- Chapter V - Some Algebraic Curves
- Chapter VI - Automorphic Functions
- Appendices
- Notes
- Bibliography
- Historical List of Names
- Index
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PUBLISHER: Birkhauser
ISBN-13: 9780817647728
ISBN-10: 0817647724