About the Book
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 71. Chapters: Hyperbolic geometry, Hyperbolic function, Gyrovector space, Parallel postulate, SL2(R), Apollonian gasket, Split-quaternion, Triangle group, Poincare half-plane model, Elliptic geometry, Fuchsian group, Hyperbolic space, Hyperbolic angle, Poincare metric, Hyperboloid model, Hilbert's theorem, Anosov diffeomorphism, Hyperbolization theorem, Schwarz lemma, Hilbert's arithmetic of ends, Hyperbolic coordinates, Beltrami-Klein model, Rips machine, Poincare disk model, Mostow rigidity theorem, (2,3,7) triangle group, Hyperbolic motion, Pair of pants, Hypercycle, Schopenhauer's criticism of the proofs of the parallel postulate, Hyperbolic triangle, Uniform tilings in hyperbolic plane, Hyperbolic tree, Angle of parallelism, Tameness theorem, Ultraparallel theorem, Dehn planes, Hyperbolic 3-manifold, Macbeath surface, Saccheri quadrilateral, Ending lamination theorem, Caratheodory metric, Hjelmslev transformation, Weeks manifold, Picard horn, Hyperbolic Dehn surgery, Schoen-Yau conjecture, Geometric finiteness, Ideal triangle, Earthquake map, Bolza surface, Fuchsian model, The geometry and topology of three-manifolds, Upper half-plane, Double limit theorem, Complex geodesic, Hyperbolic manifold, Geometric topology, Hyperbolic law of cosines, Cusp neighborhood, Gieseking manifold, Arithmetic hyperbolic 3-manifold, Meyerhoff manifold, Non-positive curvature, Horocycle, Pleated surface, Tame manifold, Schwarz-Ahlfors-Pick theorem, Margulis lemma, Non-Euclidean crystallographic group, Apollonian sphere packing, Lambert quadrilateral, Hyperbolic volume, Saccheri-Legendre theorem, Horoball, Kleinian model, Bryant surface.