Noneuclidean tesselations and their groups [[electronic resource] /] / Wilhelm Magnus
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| Autore: |
Magnus Wilhelm <1907-1990.>
|
| Titolo: |
Noneuclidean tesselations and their groups [[electronic resource] /] / Wilhelm Magnus
|
| Pubblicazione: | 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 | |
| Soggetto topico: | Tessellations (Mathematics) |
| Geometry, Non-Euclidean | |
| Note generali: | Description based upon print version of record. |
| Nota di bibliografia: | Includes bibliography and index. |
| 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 | |
| Sommario/riassunto: | Noneuclidean tesselations and their groups |
| Titolo autorizzato: | Noneuclidean Tesselations and Their Groups |
| ISBN: | 1-281-76658-5 |
| 9786611766580 | |
| 0-08-087377-4 | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910782335703321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Pure and Applied Mathematics