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Linda Keen, Nikola Lakic, "Hyperbolic Geometry from a Local Viewpoint"

Written for graduate students, this book presents topics in 2-dimensional hyperbolic geometry. The authors begin with rigid motions in the plane which are used as motivation for a full development of hyperbolic geometry in the unit disk. The approach is to define metrics from an infinitesimal point of view; first the density is defined and then the metric via integration. The study of hyperbolic geometry in arbitrary domains requires the concepts of surfaces and covering spaces as well as uniformization and Fuchsian groups. These ideas are developed in the context of what is used later. The authors then provide a detailed discussion of hyperbolic geometry for arbitrary plane domains. New material on hyperbolic and hyperbolic-like metrics is presented. These are generalizations of the Kobayashi and Caratheodory metrics for plane domains. The book concludes with applications to holomorphic dynamics including new results and accessible open problems.

• Entirely self-contained text on hyperbolic geometry for plane domains, accessible to upper-level undergraduate and graduate students yet also suitable for academic researchers

• Contains over 250 exercises and worked examples • Presents brand new material on hyperbolic and hyperbolic-like matrices

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	Science/Engineering Complex Hyperbolic Geometry William M. Goldman “Complex Hyperbolic Geometry" Oxford University Press, USA \| 1999-04-15 \| ISBN: 019853793X \| 336 pages \| Djvu \| 3,8 MB Complex hyperbolic geometry is a particularly rich field, drawing on Riemannian geometry, compl ...
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	Science/Engineering Hyperbolic Geometry Hyperbolic GeometryPublisher: Springer \| Pages: 276 \| 2007-02-21 \| ISBN 1852339349 \| PDF \| 2 MBThe geometry of the hyperbolic plane has been an active and fascinating field of mathematical inquiry for most of the past two centuries. Th ...
	Science/Engineering Hyperbolic Geometry from a Local Viewpoint (London Mathematical Society Student Texts): Linda Keen, Nikola Lakic Hyperbolic Geometry from a Local Viewpoint (London Mathematical Society Student Texts): Linda Keen, Nikola Lakic Cambridge University Press \| ISBN: 0521863600 \| April 9, 2007 \| djvu (ocr) \| 282 pages \| 14.73 Mb Written for graduate student ...
	Science/Engineering Lectures on Hyperbolic Geometry Riccardo Benedetti, Carlo Petronio, "Lectures on Hyperbolic Geometry" Springer,2 Ed \| 2003 \| ISBN: 354055534X \| 332 pages \| Djvu \| 5,3 MB In recent years hyperbolic geometry has been the object and the preparation for extensive study th ...
	Technical Hyperbolic Geometry from a Local Viewpoint (London Mathematical Society Student Texts) ISBN: 0521863600 Publisher: Cambridge University Press Author: Linda Keen, Nikola LakicDescription:Written for graduate students, this book presents topics in 2-dimensional hyperbolic geometry. The authors begin with rigid motions in the pl ...

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	Science/Engineering Complex Hyperbolic Geometry William M. Goldman “Complex Hyperbolic Geometry" Oxford University Press, USA \| 1999-04-15 \| ISBN: 019853793X \| 336 pages \| Djvu \| 3,8 MB Complex hyperbolic geometry is a particularly rich field, drawing on Riemannian geometry, compl ...
	Science/Engineering Tensor Geometry: The Geometric Viewpoint and Its Uses Tensor Geometry: The Geometric Viewpoint and Its UsesSpringer \| 1991 \| ISBN: 038752018X \| Pages: 432 \| DJVU \| 5.33 MBThis treatment of differential geometry and the mathematics required for general relativity makes the subject of this book ...
	Science/Engineering Hyperbolic Geometry Hyperbolic GeometryPublisher: Springer \| Pages: 276 \| 2007-02-21 \| ISBN 1852339349 \| PDF \| 2 MBThe geometry of the hyperbolic plane has been an active and fascinating field of mathematical inquiry for most of the past two centuries. Th ...
	Science/Engineering Hyperbolic Geometry from a Local Viewpoint (London Mathematical Society Student Texts): Linda Keen, Nikola Lakic Hyperbolic Geometry from a Local Viewpoint (London Mathematical Society Student Texts): Linda Keen, Nikola Lakic Cambridge University Press \| ISBN: 0521863600 \| April 9, 2007 \| djvu (ocr) \| 282 pages \| 14.73 Mb Written for graduate student ...
	Science/Engineering Lectures on Hyperbolic Geometry Riccardo Benedetti, Carlo Petronio, "Lectures on Hyperbolic Geometry" Springer,2 Ed \| 2003 \| ISBN: 354055534X \| 332 pages \| Djvu \| 5,3 MB In recent years hyperbolic geometry has been the object and the preparation for extensive study th ...
	Technical Hyperbolic Geometry from a Local Viewpoint (London Mathematical Society Student Texts) ISBN: 0521863600 Publisher: Cambridge University Press Author: Linda Keen, Nikola LakicDescription:Written for graduate students, this book presents topics in 2-dimensional hyperbolic geometry. The authors begin with rigid motions in the pl ...

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