By Alan F. Beardon

ISBN-10: 3540907882

ISBN-13: 9783540907886

Describing the geometric thought of discrete teams and the linked tesselations of the underlying area, this paintings additionally develops the idea of Mobius variations in n-dimensional Euclidean house. those variations are mentioned as isometries of hyperbolic area and are then pointed out with the undemanding alterations of advanced research. a close account of analytic hyperbolic trigonometry is given, and this kinds the root of the next research of tesselations of the hyperbolic aircraft. Emphasis is put on the geometrical elements of the topic and at the common constraints which needs to be happy through all tesselations.