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Record Nr. |
UNINA9910812387203321 |
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Autore |
Magnus Wilhelm <1907-1990.> |
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Titolo |
Noneuclidean tesselations and their groups / / Wilhelm Magnus |
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Pubbl/distr/stampa |
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New York ; ; London, : Academic Press, 1974 |
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ISBN |
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1-281-76658-5 |
9786611766580 |
0-08-087377-4 |
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Descrizione fisica |
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1 online resource (225 p.) |
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Collana |
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Pure and applied mathematics ; ; 61 |
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Disciplina |
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510.8 s511.6 |
510/.8 s 511/.6 |
516.9 |
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Soggetti |
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Tessellations (Mathematics) |
Geometry, Non-Euclidean |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliography and index. |
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Nota di contenuto |
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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 |
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