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Autore: | Magnus Wilhelm <1907-1990.> |
Titolo: | Noneuclidean tesselations and their groups / / 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.: | 9910812387203321 |
Lo trovi qui: | Univ. Federico II |
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