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Foundations of Hyperbolic Manifolds

(Autor)

Buch | Hardcover
782 Seiten
2006 | 2nd ed. 2006
Springer-Verlag New York Inc.
978-0-387-33197-3 (ISBN)

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Foundations of Hyperbolic Manifolds - John Ratcliffe
CHF 82,30 inkl. MwSt
This book is an exposition of the theoretical foundations of hyperbolic manifolds. It is intended to be used both as a textbook and as a reference. This book has been heavily class-tested and each chapter contains exercises and a section of historical remarks.
This heavily class-tested book is an exposition of the theoretical foundations of hyperbolic manifolds. It is a both a textbook and a reference. A basic knowledge of algebra and topology at the first year graduate level of an American university is assumed. The first part is concerned with hyperbolic geometry and discrete groups. The second part is devoted to the theory of hyperbolic manifolds. The third part integrates the first two parts in a development of the theory of hyperbolic orbifolds. Each chapter contains exercises and a section of historical remarks. A solutions manual is available separately.

Euclidean Geometry.- Spherical Geometry.- Hyperbolic Geometry.- Inversive Geometry.- Isometries of Hyperbolic Space.- Geometry of Discrete Groups.- Classical Discrete Groups.- Geometric Manifolds.- Geometric Surfaces.- Hyperbolic 3-Manifolds.- Hyperbolic n-Manifolds.- Geometrically Finite n-Manifolds.- Geometric Orbifolds.

Reihe/Serie Graduate Texts in Mathematics ; 149
Zusatzinfo XII, 782 p.
Verlagsort New York, NY
Sprache englisch
Maße 156 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Geometrie / Topologie
ISBN-10 0-387-33197-2 / 0387331972
ISBN-13 978-0-387-33197-3 / 9780387331973
Zustand Neuware
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