Non-Euclidean geometry in the theory of automorphic functions
- Rhode island: American Mathematical Society, 1999.
- xii, 95 p.: ill.; pb; 26 cm.
- History of mathematics; v. 17. .
Includes bibliographical references. Translated from the Russian.
This is the English translation of a volume originally published only in Russian and now out of print. The book was written by Jacques Hadamard on the work of Poincare."--BOOK JACKET. "Poincare's creation of a theory of automorphic functions in the early 1880s was one of the most significant mathematical achievements of the nineteenth century. It directly inspired the uniformization theorem, led to a class of functions adequate to solve all linear ordinary differential equations, and focused attention on a large new class of discrete groups. It was the first significant application of non-Euclidean geometry."--BOOK JACKET. "This unique exposition by Hadamard offers a fascinating and intuitive introduction to the subject of automorphic functions and illuminates its connection to differential equations, a connection not often found in other texts.
9780821820308
Mathematics Geometry Non Euclidean Automorphic function Fuchsian functions Algebraic functions Differential equations Discontinuous groups