|| Fuchsian Groups,
University of Chicago Press, Chicago and London, 1992.
This book is a graduate level introduction to the theory of Fuchsian
groups, especially the geometric theory. It covers in a direct and
uncomplicated fashion the basic material in hyperbolic geometry and the
applications to establishing the fundamental properties of Fuchsian
groups up to Jorgensen's inequality. The theory of geometrically finite
Fuchsian groups is treated separately and thoroughly, including a
number of topics that are not easy to find in other accounts. Finally
the author treats the theory of arithmetic Fuchsian groups in detail
and this is very hard to find in a connected fashion elsewhere. This
book would make an ideal text for individual study or for a graduate
course. It is particularly welcome that the author has provided a set
of exercises for the reader at the end of each chapter.
S.J. Patterson, Zentralblatt MATH
|Fuchsian Groups, Translation into Russian, Faktorial Press, Moscow,
2002.||MASS Selecta: Teaching and Learning Advanced Undergradute Mathematics,
American Mathematical Society, Providence, 2003.
||p-adic Analysis in Comparison with Real, Translation into Russian, MCCME Press, Moscow,
2004.||p-adic Analysis Compared with Real,
AMS/MASS, Student Mathematical Library, 37, Providence, 2007.|