Gray, Jeremy J. [Ed.]

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

515.9 / GRA