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Hyperbolic geometry /

Although it arose from purely theoretical considerations of the underlying axioms of geometry, the work of Einstein and Dirac has demonstrated that hyperbolic geometry is a fundamental aspect of modern physics. In this book, the rich geometry of the hyperbolic plane is studied in detail, leading to...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Iversen, Birger
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge ; New York : Cambridge University Press, 1992.
Colección:London Mathematical Society student texts ; 25.
Temas:
Acceso en línea:Texto completo

MARC

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490 1 |a London Mathematical Society student texts ;  |v 25 
504 |a Includes bibliographical references (pages 292-294) and index. 
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505 0 |a Quadratic forms -- Geometries -- Hyperbolic plane -- Fuchsian groups -- Fundamental domains -- Coverings -- Poincaré's theorem -- Hyperbolic 3-space -- Appendix: Axioms for plane geometry. 
520 |a Although it arose from purely theoretical considerations of the underlying axioms of geometry, the work of Einstein and Dirac has demonstrated that hyperbolic geometry is a fundamental aspect of modern physics. In this book, the rich geometry of the hyperbolic plane is studied in detail, leading to the focal point of the book, Poincare's polygon theorem and the relationship between hyperbolic geometries and discrete groups of isometries. Hyperbolic 3-space is also discussed, and the directions that current research in this field is taking are sketched. This will be an excellent introduction to hyperbolic geometry for students new to the subject, and for experts in other fields. 
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