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Geometry, Non-Euclidean

Most popular at the top

  • János Bolyaiby Tibor Weszely; Manfred Stern

    Springer 2011; US$ 79.95

    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...

  • 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...

  • Analytic Hyperbolic Geometryby Abraham A Ungar

    World Scientific Publishing Company 2005; US$ 193.00

    This 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...

  • Non-Euclidean Geometriesby András Prékopa; Emil Molnár

    Springer-Verlag New York Inc 2006; US$ 199.00

    Talks about the non-euclidian geometrics. more...

  • Dynamics Beyond Uniform Hyperbolicityby Christian Bonatti; Lorenzo J. Díaz; Marcelo Viana

    Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2006; US$ 169.00

    The notion of uniform hyperbolicity, introduced by Steve Smale in the early sixties, unified important developments and led to a remarkably successful theory for a large class of systems: uniformly hyperbolic systems often exhibit complicated evolution which, nevertheless, is now rather well understood, both geometrically and statistically.Another... more...

  • Appendixby F. Kárteszi; B. Szénássy

    Elsevier Science 1987; US$ 72.95

    The 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...

  • Hyperbolic Manifolds and Discrete Groupsby Michael Kapovich

    Springer 2009; US$ 89.99

    Hyperbolic Manifolds and Discrete Groups is at the crossroads of several branches of mathematics: hyperbolic geometry, discrete groups, 3-dimensional topology, geometric group theory, and complex analysis. The main focus throughout the text is on the "Big Monster," i.e., on Thurston?s hyperbolization theorem, which has not only completely... more...

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

    Princeton University Press 2009; US$ 59.95

    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...