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#### János Bolyai

Springer 2011; US$ 79.95Biographie 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 Manifolds

Springer 2013; US$ 109.00This 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 Geometry

World Scientific Publishing Company 2005; US$ 193.00This 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...

#### Dynamics Beyond Uniform Hyperbolicity

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

#### Non-Euclidean Geometries

Springer-Verlag New York Inc 2006; US$ 229.00Talks about the non-euclidian geometrics. more...

#### Outer Billiards on Kites (AM-171)

Princeton University Press 2009; US$ 62.95Outer 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...

#### Hyperbolic Manifolds and Discrete Groups

Springer 2009; US$ 89.99Hyperbolic 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...

#### A Gyrovector Space Approach to Hyperbolic Geometry

Morgan & Claypool Publishers 2009; US$ 45.00The mere mention of hyperbolic geometry is enough to strike fear in the heart of the undergraduate mathematics and physics student. Some regard themselves as excluded from the profound insights of hyperbolic geometry so that this enormous portion of human achievement is a closed door to them. The mission of this book is to open that door by making... more...