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Geometry, Non-Euclidean

  • Analytic Hyperbolic Geometry in N Dimensionsby Abraham Albert Ungar

    CRC Press 2014; US$ 139.95

    List of Figures Preface Author?s Biography Introduction Gyrovector Spaces in the Service of Abalytic Hyperbolic Geometry When Two Counterintuitive Theories Meet The Fascinating Rich Mathematical Life of Einstein?s Velocity Addition Law Parts of the Book Einstein Gyrogroups and Gyrovector Spaces Einstein Gyrogroups Introduction... 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

    Springer 2013; US$ 109.00

    This monograph treats normally hyperbolic invariant manifolds, with a focus on noncompactness. These objects generalize hyperbolic fixed points and are ubiquitous in dynamical systems.First, normally hyperbolic invariant manifolds and their relation to hyperbolic fixed points and center manifolds, as well as, overviews of history and methods of proofs... more...

  • Small Universal Cellular Automata in Hyperbolic Spacesby Maurice Margenstern

    Springer 2013; US$ 179.00

    Hyperbolic geometry is an essential part of theoretical astrophysics and cosmology. Besides specialists of these domains, many specialists of new domains start to show a growing interestboth to hyperbolic geometry and to cellular automata. This is especially the case in biology and computer science. This book gives the reader a deep and efficient introduction... 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...

  • János Bolyaiby Tibor Weszely; Manfred Stern

    Springer 2011; US$ 79.99

    Biographie des ungarischen Mathematikers János Bolyai (1802-1860), der etwa gleichzeitig mit dem russischen Mathematiker Nikolai Lobatschewski und unabhängig von ihm die nichteuklidische Revolution eingeleitet hat. Diese erbrachte den Nachweis, dass die euklidische Geometrie keine Denknotwendigkeit ist, wie Kant irrtümlicherweise annahm.... more...

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

    Springer 2011; US$ 49.95

    This book provides an original introduction to the geometry of Minkowski space-time. A hundred years after the space-time formulation of special relativity by Hermann Minkowski, it is shown that the kinematical consequences of special relativity are merely a manifestation of space-time geometry. The book is written with the intention of providing students... more...

  • Hyperbolic Triangle Centersby Abraham A. Ungar

    Springer 2010; US$ 149.00

    After A. Ungar had introduced vector algebra and Cartesian coordinates into hyperbolic geometry in his earlier books, along with novel applications in Einstein's special theory of relativity, the purpose of his new book is to introduce hyperbolic barycentric coordinates, another important concept to embed Euclidean geometry into hyperbolic geometry.... more...

  • Outer Billiards on Kites (AM-171)by Richard Evan Schwartz

    Princeton University Press 2009; US$ 62.95

    Outer billiards is a basic dynamical system defined relative to a convex shape in the plane. B. H. Neumann introduced this system in the 1950s, and J. Moser popularized it as a toy model for celestial mechanics. All along, the so-called Moser-Neumann question has been one of the central problems in the field. This question asks whether or not one... more...