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#### Analytic Hyperbolic Geometry

World Scientific Publishing Company 2005; US$ 193.00This is the first book on analytic hyperbolic geometry, fully analogous to analytic Euclidean geometry. Analytic hyperbolic geometry regulates relativistic mechanics just as analytic Euclidean geometry regulates classical mechanics. The book presents a novel gyrovector space approach to analytic hyperbolic geometry, fully analogous to the well-known... 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...

#### Analytic and Probabilistic Approaches to Dynamics in Negative Curvature

Springer International Publishing 2014; US$ 109.00The work consists of two introductory courses, developing different points of view on the study of the asymptotic behaviour of the geodesic flow, namely: the probabilistic approach via martingales and mixing (by Stéphane Le Borgne); the semi-classical approach, by operator theory and resonances (by Frédéric Faure and Masato Tsujii). The contributions... more...

#### Appendix

Elsevier Science 1987; US$ 72.95The epoch-making work of János Bolyai is presented here, together with a supplement outlining Hungarian political and science history to help the reader to get acquainted with the miserable fate of János Bolyai and with his intellectual world. A facsimile of a copy of Bolyai's original 1831 Scientia Spatii (also known as the Appendix) is included,... more...

#### Automorphisms of Surfaces after Nielsen and Thurston

Cambridge University Press 1988; US$ 32.00This 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...

#### Dynamics Beyond Uniform Hyperbolicity

Springer Berlin Heidelberg 2006; US$ 169.00What is Dynamics about? In broad terms, the goal of Dynamics is to describe the long term evolution of systems for which an "infinitesimal" evolution rule is known. Examples and applications arise from all branches of science and technology, like physics, chemistry, economics, ecology, communications, biology, computer science, or meteorology, to mention... more...

#### Elementary Geometry in Hyperbolic Space

De Gruyter 1989; US$ 168.00Elementary Geometry in Hyperbolic Space. more...

#### Fundamentals of Hyperbolic Manifolds

Cambridge University Press 2006; US$ 104.00Reissued articles from two classic sources on hyperbolic manifolds with new sections describing recent work. more...

#### Geometry of Minkowski Space-Time

Springer Berlin Heidelberg 2011; US$ 49.95This book provides an original introduction to the geometry of Minkowski spacetime. A hundred years after the spacetime formulation of special relativity, it is shown that the kinematical consequences of special relativity are merely a manifestation of spacetime geometry. more...

#### A Gyrovector Space Approach to Hyperbolic Geometry

Morgan & Claypool Publishers 2009; US$ 45.00The mere mention of hyperbolic geometry is enough to strike fear in the heart of the undergraduate mathematics and physics student. Some regard themselves as excluded from the profound insights of hyperbolic geometry so that this enormous portion of human achievement is a closed door to them. The mission of this book is to open that door by making... more...