Noneuclidean tesselations and their groups:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Acad. Press
1974
|
| Schriftenreihe: | Pure and applied mathematics
61 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 207 S. graph. Darst. |
| ISBN: | 0124654509 |
Internformat
MARC
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| 245 | 1 | 0 | |a Noneuclidean tesselations and their groups |c Wilhelm Magnus |
| 264 | 1 | |a New York [u.a.] |b Acad. Press |c 1974 | |
| 300 | |a XIV, 207 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Pure and applied mathematics |v 61 | |
| 650 | 7 | |a Discontinue groepen |2 gtt | |
| 650 | 4 | |a Groupes discontinus | |
| 650 | 7 | |a Groupes discontinus |2 ram | |
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| 650 | 7 | |a Géométrie non-euclidienne |2 ram | |
| 650 | 7 | |a Niet-Euclidische meetkunde |2 gtt | |
| 650 | 7 | |a Tessellations |2 gtt | |
| 650 | 7 | |a groupe discontinu |2 inriac | |
| 650 | 7 | |a groupe modulaire |2 inriac | |
| 650 | 7 | |a géométrie non euclidienne |2 inriac | |
| 650 | 7 | |a mosaïque |2 inriac | |
| 650 | 4 | |a Discontinuous groups | |
| 650 | 4 | |a Geometry, Non-Euclidean | |
| 650 | 4 | |a Tessellations (Mathematics) | |
| 650 | 0 | 7 | |a Nichteuklidische Geometrie |0 (DE-588)4042073-5 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1804116925826990080 |
|---|---|
| adam_text | Contents
Preface ix
Abbreviations and Symbols xiii
CHAPTER I. ELEMENTARY CONCEPTS AND FORMULAS
1.1 The Group G* of Homographic Substitutions 1
1.2 Action of G* on the Closed Complex Plane C 2
1.3 Action of G* on Hyperbolic Three-Space 10
1.4 Circle Groups as Groups of Motions of Hyperbolic
Two-Space 19
1.5 Notes on Elliptic and Spherical Geometry 37
1.6 Illustrations. References and Historical Remarks 41
1.7 Appendix: Hilbert s Axioms of Geometry 43
CHAPTER II. DISCONTINUOUS GROUPS AND TRIANGLE
TESSELATIONS
II. 1 Introductory Remarks 52
11.2 Discontinuous Groups and Fundamental Regions 56
11.3 Triangle Groups, Local and Global Relations 65
11.4 Euclidean, Spherical, and Elliptic Triangle Groups 68
11.5 Hyperbolic Triangle Groups 81
11.6 Some Subgroups of Hyperbolic Triangle Groups 90
11.7 General Theorems. A Survey and References 95
CHAPTER III. NUMBER THEORETICAL METHODS
111.1 The Modular Group 107
111.2 Subgroups and Quotient Groups of the Modular Group 112
111.3 Groups of Units of Ternary Quadratic and Binary Her-
mitian Forms 123
CHAPTER IV. MISCELLANY
IV. 1 Examples of Discontinuous Nonfuchsian Groups 134
IV.2 Fricke Characters 148
vii
viii Contents
CHAPTER V. GROUPS THAT ARE DISCONTINUOUS
IN HYPERBOLIC THREE-SPACE
V.I Linear Groups over Imaginary Quadratic Number
Fields 151
V.2 Some Geometric Constructions 153
FIGURES 157
REFERENCES 199
Index 205
|
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| discipline | Mathematik |
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| genre | Mosaikstruktur gnd |
| genre_facet | Mosaikstruktur |
| id | DE-604.BV002523201 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:46:15Z |
| institution | BVB |
| isbn | 0124654509 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001623037 |
| oclc_num | 800591 |
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| physical | XIV, 207 S. graph. Darst. |
| publishDate | 1974 |
| publishDateSearch | 1974 |
| publishDateSort | 1974 |
| publisher | Acad. Press |
| record_format | marc |
| series | Pure and applied mathematics |
| series2 | Pure and applied mathematics |
| spelling | Magnus, Wilhelm 1907-1990 Verfasser (DE-588)119325721 aut Noneuclidean tesselations and their groups Wilhelm Magnus New York [u.a.] Acad. Press 1974 XIV, 207 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics 61 Discontinue groepen gtt Groupes discontinus Groupes discontinus ram Géométrie non-euclidienne Géométrie non-euclidienne ram Niet-Euclidische meetkunde gtt Tessellations gtt groupe discontinu inriac groupe modulaire inriac géométrie non euclidienne inriac mosaïque inriac Discontinuous groups Geometry, Non-Euclidean Tessellations (Mathematics) Nichteuklidische Geometrie (DE-588)4042073-5 gnd rswk-swf Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Mosaikstruktur gnd rswk-swf Nichteuklidische Geometrie (DE-588)4042073-5 s Mosaikstruktur f Gruppentheorie (DE-588)4072157-7 s DE-604 Pure and applied mathematics 61 (DE-604)BV010177228 61 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001623037&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Magnus, Wilhelm 1907-1990 Noneuclidean tesselations and their groups Pure and applied mathematics Discontinue groepen gtt Groupes discontinus Groupes discontinus ram Géométrie non-euclidienne Géométrie non-euclidienne ram Niet-Euclidische meetkunde gtt Tessellations gtt groupe discontinu inriac groupe modulaire inriac géométrie non euclidienne inriac mosaïque inriac Discontinuous groups Geometry, Non-Euclidean Tessellations (Mathematics) Nichteuklidische Geometrie (DE-588)4042073-5 gnd Gruppentheorie (DE-588)4072157-7 gnd |
| subject_GND | (DE-588)4042073-5 (DE-588)4072157-7 |
| title | Noneuclidean tesselations and their groups |
| title_auth | Noneuclidean tesselations and their groups |
| title_exact_search | Noneuclidean tesselations and their groups |
| title_full | Noneuclidean tesselations and their groups Wilhelm Magnus |
| title_fullStr | Noneuclidean tesselations and their groups Wilhelm Magnus |
| title_full_unstemmed | Noneuclidean tesselations and their groups Wilhelm Magnus |
| title_short | Noneuclidean tesselations and their groups |
| title_sort | noneuclidean tesselations and their groups |
| topic | Discontinue groepen gtt Groupes discontinus Groupes discontinus ram Géométrie non-euclidienne Géométrie non-euclidienne ram Niet-Euclidische meetkunde gtt Tessellations gtt groupe discontinu inriac groupe modulaire inriac géométrie non euclidienne inriac mosaïque inriac Discontinuous groups Geometry, Non-Euclidean Tessellations (Mathematics) Nichteuklidische Geometrie (DE-588)4042073-5 gnd Gruppentheorie (DE-588)4072157-7 gnd |
| topic_facet | Discontinue groepen Groupes discontinus Géométrie non-euclidienne Niet-Euclidische meetkunde Tessellations groupe discontinu groupe modulaire géométrie non euclidienne mosaïque Discontinuous groups Geometry, Non-Euclidean Tessellations (Mathematics) Nichteuklidische Geometrie Gruppentheorie Mosaikstruktur |
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| volume_link | (DE-604)BV010177228 |
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