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Noneuclidean tesselations and their groups [[electronic resource] /] / Wilhelm Magnus
| Noneuclidean tesselations and their groups [[electronic resource] /] / Wilhelm Magnus |
| Autore | Magnus Wilhelm <1907-1990.> |
| Pubbl/distr/stampa | New York ; ; London, : Academic Press, 1974 |
| Descrizione fisica | 1 online resource (225 p.) |
| Disciplina |
510.8 s511.6
510/.8 s 511/.6 516.9 |
| Collana | Pure and applied mathematics |
| Soggetto topico |
Tessellations (Mathematics)
Geometry, Non-Euclidean |
| ISBN |
1-281-76658-5
9786611766580 0-08-087377-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front 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
II.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 CHAPTER 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 |
| Record Nr. | UNINA-9910782335703321 |
Magnus Wilhelm <1907-1990.>
|
||
| New York ; ; London, : Academic Press, 1974 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Noneuclidean tesselations and their groups / / Wilhelm Magnus
| Noneuclidean tesselations and their groups / / Wilhelm Magnus |
| Autore | Magnus Wilhelm <1907-1990.> |
| Pubbl/distr/stampa | New York ; ; London, : Academic Press, 1974 |
| Descrizione fisica | 1 online resource (225 p.) |
| Disciplina |
510.8 s511.6
510/.8 s 511/.6 516.9 |
| Collana | Pure and applied mathematics |
| Soggetto topico |
Tessellations (Mathematics)
Geometry, Non-Euclidean |
| ISBN |
1-281-76658-5
9786611766580 0-08-087377-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front 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
II.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 CHAPTER 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 |
| Record Nr. | UNINA-9910812387203321 |
|
Magnus Wilhelm <1907-1990.>
|
||
| New York ; ; London, : Academic Press, 1974 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||