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- 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...
- 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...
- 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...
- Cambridge University Press 1988; US$ 32.00
This book, which grew out of Steven Bleiler's lecture notes from a course given by Andrew Casson at the University of Texas, is designed to serve as an introduction to the applications of hyperbolic geometry to low dimensional topology. In particular it provides a concise exposition of the work of Neilsen and Thurston on the automorphisms of surfaces.... more...
- 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...
- 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...
- Morgan & Claypool Publishers 2009; US$ 45.00
The 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...
- 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...