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Product Details
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
