Hyperbolic Geometry from a Local Viewpoint - Keen, Linda (City University of New York) a Lakic, Nikola (City University of New York)

Written for graduate students, this book presents topics in 2-dimensional hyperbolic geometry. The authors develop all the necessary basic theory, including the concepts of surfaces and covering spaces as well as uniformization and Fuchsian groups. Applications to holomorphic dynamics are discussed including new results and accessible open problems.