LEADER 03122nam 2200613Ia 450 001 9910812387203321 005 20230120005813.0 010 $a1-281-76658-5 010 $a9786611766580 010 $a0-08-087377-4 035 $a(CKB)1000000000551621 035 $a(EBL)404864 035 $a(OCoLC)476220393 035 $a(SSID)ssj0000389759 035 $a(PQKBManifestationID)12120569 035 $a(PQKBTitleCode)TC0000389759 035 $a(PQKBWorkID)10463829 035 $a(PQKB)10745928 035 $a(MiAaPQ)EBC404864 035 $a(EXLCZ)991000000000551621 100 $a19941123d1974 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aNoneuclidean tesselations and their groups /$fWilhelm Magnus 210 $aNew York ;$aLondon $cAcademic Press$d1974 215 $a1 online resource (225 p.) 225 0 $aPure and applied mathematics ;$v61 300 $aDescription based upon print version of record. 311 $a0-12-465450-9 320 $aIncludes bibliography and index. 327 $aFront Cover; Noneuclidean Tesselations and Their Groups; Copyright Page; Contents; Preface; Abbreviations and Symbols; CHAPTER I. ELEMENTARY CONCEPTS AND FORMULAS; I.1 The Group G* of Homographic Substitutions; I.2 Action of G* on the Closed Complex Plane C; I.3 Action of G* on Hyperbolic Three-Space; I.4 Circle Groups as Groups of Motions of Hyperbolic Two-Space; I.5 Notes on Elliptic and Spherical Geometry; I.6 Illustrations. References and Historical Remarks; I.7 Appendix: Hilbert's Axioms of Geometry; CHAPTER II. DISCONTINUOUS GROUPS AND TRIANGLE TESSELATIONS; II.1 Introductory Remarks 327 $aII.2 Discontinuous Groups and Fundamental RegionsII.3 Triangle Groups, Local and Global Relations; II.4 Euclidean, Spherical, and Elliptic Triangle Groups; II.5 Hyperbolic Triangle Groups; II.6 Some Subgroups of Hyperbolic Triangle Groups; II.7 General Theorems. A Survey and References; CHAPTER III. NUMBER THEORETICAL METHODS; III.1 The Modular Group; III.2 Subgroups and Quotient Groups of the Modular Group; III.3 Groups of Units of Ternary Quadratic and Binary Hermitian Forms; CHAPTER IV. MISCELLANY; IV.1 Examples of Discontinuous Nonfuchsian Groups; IV.2 Fricke Characters 327 $aCHAPTER V. GROUPS THAT ARE DISCONTINUOUS IN HYPERBOLIC THREE-SPACEV.l Linear Groups over Imaginary Quadratic Number Fields; V.2 Some Geometric Contructions; Figures; References; Index 330 $aNoneuclidean tesselations and their groups 410 0$aPure and Applied Mathematics 606 $aTessellations (Mathematics) 606 $aGeometry, Non-Euclidean 615 0$aTessellations (Mathematics) 615 0$aGeometry, Non-Euclidean. 676 $a510.8 s511.6 676 $a510/.8 s 511/.6 676 $a516.9 676 $a516.9 700 $aMagnus$b Wilhelm$f1907-1990.$06717 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910812387203321 996 $aNoneuclidean Tesselations and Their Groups$9979052 997 $aUNINA