FOUNDATIONS OF HYPERBOLIC MANIFOLDS (GRADUATE TEXTS IN MATHEMATICS, 149)
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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.

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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.The book is divided into three parts. The first part is concerned with hyperbolic geometry and discrete groups. The main results are the characterization of hyperbolic reflection groups and Euclidean crystallographic groups. The second part is devoted to the theory of hyperbolic manifolds. The main results are Mostow’s rigidity theorem and the determination of the global geometry of hyperbolic manifolds of finite volume. The third part integrates the first two parts in a development of the theory of hyperbolic orbifolds. The main result is Poincare«s fundamental polyhedron theorem.The exposition if at the level of a second year graduate student with particular emphasis placed on readability and completeness of argument. After reading this book, the reader will have the necessary background to study the current research on hyperbolic manifolds.The second edition is a thorough revision of the first edition that embodies hundreds of changes, corrections, and additions, including over sixty new lemmas, theorems, and corollaries. The new main results are Schl\¬afli’s differential formula and the $n$-dimensional Gauss-Bonnet theorem.John G. Ratcliffe is a Professor of Mathematics at Vanderbilt University.

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Von Händler/Antiquariat, fast-track-books.
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., Hardcover, Ausgabe: 2nd, Label: Springer, Springer, Produktgruppe: Book, Publiziert: 2006-09-26, Studio: Springer, Verkaufsrang: 1681975.

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Von Händler/Antiquariat, LowPriceTextbooks.
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., Hardcover, Ausgabe: 2nd, Label: Springer, Springer, Produktgruppe: Book, Publiziert: 2006-08-23, Studio: Springer, Verkaufsrang: 827804.

Von Händler/Antiquariat, Second Story Books, ABAA [9226], Rockville, MD, U.S.A.
Octavo; VG; Paperback; Spine, yellow and white with black print; Cover is clean and bright; Text block clean and tight; xi, 747 pages, "with 164 illustrations". FP New Rockville Stock.

Von Händler/Antiquariat, Paperbackshop-US [8408184], Secaucus, NJ, U.S.A.
New Book. This item is printed on demand. Shipped from US This item is printed on demand.

Von Händler/Antiquariat, multilibri [60573123], Darmstadt, Germany.
XI, 747 S. : graph. Darst. gutes Exemplar - Riss von 3 cm im Vorderkarton - Used - Good Gewicht in Gramm: 1200, Books.

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