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.
General
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