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#### Analytic Hyperbolic Geometry

World Scientific Publishing Company 2005; US$ 118.00 US$ 107.38This 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$ 88.64The 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...

#### Automorphisms of Surfaces after Nielsen and Thurston

Cambridge University Press 1988; US$ 33.00This 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...

#### Dynamical Systems

Springer London 2012; US$ 50.82This concise introduction to dynamical systems contains a large number of examples and exercises. It is an ideal textbook for a one-semester or two-semester course at the advanced undergraduate or beginning graduate levels. more...

#### Dynamics Beyond Uniform Hyperbolicity

Springer Berlin Heidelberg 2006; US$ 165.47What 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$ 182.00The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to... more...

#### Equations in Mathematical Physics

Springer Basel 2012; US$ 62.64This volume demonstrates the basic methods for solving the classical linear problems in mathematical physics of elliptic, parabolic and hyperbolic nature. The methods of conformal mappings, Fourier analysis and Green`s functions are considered, as well as the perturbation and integral transformation methods. 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$ 50.82This 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...