Non-Euclidean Geometry in the Theory of Automorphic Functions
About this Title
Jacques Hadamard. Edited by Jeremy J. Gray, Open University, Milton Keynes, UK and Abe Shenitzer, York University, Toronto, ON, Canada. Translated by Abe Shenitzer, York University, Toronto, ON, Canada
Publication: History of Mathematics
Publication Year:
2000; Volume 17
ISBNs: 978-0-8218-2030-8 (print); 978-1-4704-3885-2 (online)
DOI: https://doi.org/10.1090/hmath/017
MathSciNet review: MR1723250
MSC: Primary 11F12; Secondary 01A55, 01A60, 01A75, 11-03
Table of Contents
Front/Back Matter
Chapters
- Historical introduction
- A brief history of automorphic function theory, 1880-1930
- Chapter I. The group of motions of the hyperbolic plane and its properly discontinuous subgroups
- Chapter II. Discontinuous groups in three geometries. Fuchsian functions
- Chapter III. Fuchsian functions
- Chapter IV. Kleinian groups and functions
- Chapter V. Algebraic functions and linear algebraic differential equations
- Chapter VI. Fuchsian groups and geodesics