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#### Automorphisms of Surfaces after Nielsen and Thurston

Cambridge University Press 1988; US$ 32.00 US$ 26.24This book, which grew out of Steven Bleiler's lecture notes from a course given by Andrew Casson at the University of Texas, is designed to serve as an introduction to the applications of hyperbolic geometry to low dimensional topology. In particular it provides a concise exposition of the work of Neilsen and Thurston on the automorphisms of surfaces.... more...

#### Minkowski Geometry

Cambridge University Press 1996; US$ 152.00 US$ 124.64The first comprehensive treatment of Minkowski geometry since the 1940's more...

#### Hyperbolic Geometry

Cambridge University Press 1992; US$ 48.00 US$ 39.36Although it arose from purely theoretical considerations of the underlying axioms of geometry, the work of Einstein and Dirac has demonstrated that hyperbolic geometry is a fundamental aspect of modern physics more...

#### Hyperbolic Manifolds and Discrete Groups

Birkhäuser Boston 2009; US$ 80.78Hyperbolic Manifolds and Discrete Groups is at the crossroads of several branches of mathematics: hyperbolic geometry, discrete groups, 3-dimensional topology, geometric group theory, and complex analysis. The main focus throughout the text is on the "Big Monster," i.e., on Thurston?s hyperbolization theorem, which has not only completely... more...

#### Introduction to Hyperbolic Geometry

Springer New York 2013; US$ 78.61This book is an introduction to hyperbolic and differential geometry that provides material in the early chapters that can serve as a textbook for a standard upper division course on hyperbolic geometry. For that material, the students need to be familiar with calculus and linear algebra and willing to accept one advanced theorem from analysis without... more...

#### Hyperbolic Geometry from a Local Viewpoint

Cambridge University Press 2007; US$ 52.00 US$ 42.64A self-contained text on hyperbolic geometry for plane domains, ideal for graduate students and academic researchers. more...

#### Non-Euclidean Geometries

Springer US 2006; US$ 190.94"From nothing I have created a new different world," wrote János Bolyai to his father, Wolgang Bolyai, on November 3, 1823, to let him know his discovery of non-Euclidean geometry, as we call it today. The results of Bolyai and the co-discoverer, the Russian Lobachevskii, changed the course of mathematics, opened the way for modern physical theories... more...

#### Riemannian Geometry, Fibre Bundles, Kaluza-Klein Theories and All That

World Scientific Publishing Company 1988; US$ 65.00 US$ 53.30This book discusses the geometrical aspects of Kaluza-Klein theories. The ten chapters cover topics from the differential and Riemannian manifolds to the reduction of Einstein-Yang-Mills action. It would definitely prove interesting reading to physicists and mathematicians, theoretical and experimental. more...

#### Analytic Hyperbolic Geometry in N Dimensions

CRC Press 2014; US$ 174.95The concept of the Euclidean simplex is important in the study of n-dimensional Euclidean geometry. This book introduces for the first time the concept of hyperbolic simplex as an important concept in n-dimensional hyperbolic geometry. Following the emergence of his gyroalgebra in 1988, the author crafted gyrolanguage, the algebraic language that... more...

#### Small Universal Cellular Automata in Hyperbolic Spaces

Springer Berlin Heidelberg 2013; US$ 179.70This book gives the reader a deep and efficient introduction to an algorithmic approach to hyperbolic geometry. It addresses the issue of universality in an unconventional model of computation, that of cellular automata in hyperbolic spaces. more...