TY - GEN AU - Gray, Jeremy J. [Ed.] AU - Shenitzer, Abe [Ed.] ED - Shenitzer, Abe (Tr.) TI - Non-Euclidean geometry in the theory of automorphic functions SN - 9780821820308 U1 - 515.9 PY - 1999/// CY - Rhode island PB - American Mathematical Society KW - Mathematics KW - Geometry KW - Non Euclidean KW - Automorphic function KW - Fuchsian functions KW - Algebraic functions KW - Differential equations KW - Discontinuous groups N1 - Includes bibliographical references. Translated from the Russian N2 - 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 ER -