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Geometry, Non-Euclidean

  • The Spectrum of Hyperbolic Surfacesby Nicolas Bergeron

    Springer International Publishing 2016; US$ 62.59

    This text is an introduction to the spectral theory of the Laplacian on compact or finite area hyperbolic surfaces. For some of these surfaces, called “arithmetic hyperbolic surfaces”, the eigenfunctions are of arithmetic nature, and one may use analytic tools as well as powerful methods in number theory to study them. After an introduction to the... more...

  • 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 Françoise Dal'Bo; Marc Peigné; Andrea Sambusetti

    Springer International Publishing 2014; US$ 88.58

    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$ 88.58

    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$ 188.98

    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...

  • Introduction to Hyperbolic Geometryby Arlan Ramsay; Robert D. Richtmyer

    Springer New York 2013; US$ 82.67

    This 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...

  • Hyperbolicityby Giuseppe Da Prato; Giuseppe Geymonat

    Springer Berlin Heidelberg 2013; US$ 35.42

    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; Manfred Stern

    Springer Basel 2012; US$ 66.49

    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...

  • Dynamical Systemsby Luis Barreira; Claudia Valls

    Springer London 2012; US$ 50.78

    This 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...