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Geometry, Non-Euclidean

  • Analytic Hyperbolic Geometry in N Dimensionsby Abraham Albert Ungar

    CRC Press 2014; US$ 174.95

    The 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 Curvatureby

    Springer International Publishing 2014; US$ 109.00

    The 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...

  • NonEuclidean Geometryby Herbert Meschkowski; D. Allan Bromley; Nicholas Declaris; W. Magnus

    Elsevier Science 2014; US$ 31.95

    Noneuclidean Geometry focuses on the principles, methodologies, approaches, and importance of noneuclidean geometry in the study of mathematics. The book first offers information on proofs and definitions and Hilbert's system of axioms, including axioms of connection, order, congruence, and continuity and the axiom of parallels. The publication also... more...

  • Normally Hyperbolic Invariant Manifoldsby Jaap Eldering

    Atlantis Press 2013; US$ 109.00

    This book covers normally hyperbolic invariant manifolds and their relation to hyperbolic fixed points and center manifolds, and offers a proof of persistence for noncompact normally hyperbolic invariant manifolds in Riemannian manifolds of bounded geometry. more...

  • Small Universal Cellular Automata in Hyperbolic Spacesby Maurice Margenstern

    Springer Berlin Heidelberg 2013; US$ 209.00

    This 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...

  • Hyperbolicityby

    Springer Berlin Heidelberg 2013; US$ 49.95

    Lectures: J. Chazarain, A. Piriou: Problèmes mixtes hyperboliques: Première partie: Les problèmes mixtes hyperboliques vérifiant 1a condition de Lopatinski uniforme; Deuxième partie: Propagation et réflexion des singularités.- L. Gårding: Introduction to hyperbolicity.- T. Kato: Linear and quasi-linear equations of evolution of hyperbolic type.- K.W.... more...

  • János Bolyaiby Tibor Weszely

    Springer Basel 2012; US$ 79.99

    Die Biographie schildert das wechselvolle Leben des ungarischen Mathematikers János Bolyai (1802?1860), der nachwies, dass die euklidische Geometrie keine Denknotwendigkeit ist. Damit legte er einen Grundstein für die Entwicklung der Physik im 20. Jahrhundert. more...

  • Hyperbolic Chaosby Sergey P. Kuznetsov

    Springer Berlin Heidelberg 2012; US$ 169.00

    This book reviews progress on uniformly hyperbolic attractors in dynamical systems from the perspective of physics. The text shows how to find hyperbolic chaotic attractors in physical systems and how to design physical systems that possess hyperbolic chaos. more...

  • Geometry of Minkowski Space-Timeby Francesco Catoni; Dino Boccaletti; Roberto Cannata; Vincenzo Catoni; Paolo Zampetti

    Springer Berlin Heidelberg 2011; US$ 49.95

    This 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...

  • Hyperbolic Triangle Centersby A.A. Ungar

    Springer Netherlands 2010; US$ 149.00

    Abraham Ungar laid the foundation for investigating hyperbolic triangle centers via hyperbolic barycentric coordinates, and in this book he initiates a study of hyperbolic triangle centers in full analogy with the rich study of Euclidian triangle centers. more...