01436 a2200301 4500 OSt 20260729165136.0 260729b |||||||| |||| 00| 0 eng d 9783032206763 (pbk.) PU 516.9 RAT Ratcliffe, John G. author. Foundations of hyperbolic manifolds / John G. Ratcliffe. 3rd ed. Reprint 2026. Cham, Switzerland : Springer 2026 xii, 800 p. : ill. ; 24 cm. Graduate Texts in Mathematics. Includes bibliographical references and index. 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. A graduate-level textbook presenting the theoretical foundations of hyperbolic manifolds, including hyperbolic geometry, discrete groups, geometric topology, and orbifolds. Suitable as both a textbook and a reference work. Mathematics Hyperbolic manifolds. Hyperbolic geometry. Topology. Discrete groups (Mathematics) Geometric structures. BK ddc 393253 393253 0 0 ddc 0 0 NFIC PU PU GEN 2026-07-24 3758 4995.00 0 516.9 RAT 236217 2026-07-24 00:00:00 4995.00 2026-07-24 BK NBHM BOOKS 2026-2027