Hyperbolic geometry:
Although it arose from purely theoretical considerations of the underlying axioms of geometry, the work of Einstein and Dirac has demonstrated that hyperbolic geometry is a fundamental aspect of modern physics. In this book, the rich geometry of the hyperbolic plane is studied in detail, leading to...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
1992
|
| Series: | London Mathematical Society student texts
25 |
| Subjects: | |
| Online Access: | BSB01 FHN01 UBR01 URL des Erstveröffentlichers |
| Summary: | Although it arose from purely theoretical considerations of the underlying axioms of geometry, the work of Einstein and Dirac has demonstrated that hyperbolic geometry is a fundamental aspect of modern physics. In this book, the rich geometry of the hyperbolic plane is studied in detail, leading to the focal point of the book, Poincare's polygon theorem and the relationship between hyperbolic geometries and discrete groups of isometries. Hyperbolic 3-space is also discussed, and the directions that current research in this field is taking are sketched. This will be an excellent introduction to hyperbolic geometry for students new to the subject, and for experts in other fields |
| Physical Description: | 1 Online-Ressource (xiv, 298 Seiten) |
| ISBN: | 9780511569333 |
| DOI: | 10.1017/CBO9780511569333 |
Staff View
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| 505 | 8 | |a Quadratic forms -- Geometries -- Hyperbolic plane -- Fuchsian groups -- Fundamental domains -- Coverings -- Poincaré's theorem -- Hyperbolic 3-space -- Appendix: Axioms for plane geometry | |
| 520 | |a Although it arose from purely theoretical considerations of the underlying axioms of geometry, the work of Einstein and Dirac has demonstrated that hyperbolic geometry is a fundamental aspect of modern physics. In this book, the rich geometry of the hyperbolic plane is studied in detail, leading to the focal point of the book, Poincare's polygon theorem and the relationship between hyperbolic geometries and discrete groups of isometries. Hyperbolic 3-space is also discussed, and the directions that current research in this field is taking are sketched. This will be an excellent introduction to hyperbolic geometry for students new to the subject, and for experts in other fields | ||
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Record in the Search Index
| _version_ | 1804176884644184064 |
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| any_adam_object | |
| author | Iversen, Birger |
| author_facet | Iversen, Birger |
| author_role | aut |
| author_sort | Iversen, Birger |
| author_variant | b i bi |
| building | Verbundindex |
| bvnumber | BV043942147 |
| classification_rvk | SK 380 |
| collection | ZDB-20-CBO |
| contents | Quadratic forms -- Geometries -- Hyperbolic plane -- Fuchsian groups -- Fundamental domains -- Coverings -- Poincaré's theorem -- Hyperbolic 3-space -- Appendix: Axioms for plane geometry |
| ctrlnum | (ZDB-20-CBO)CR9780511569333 (OCoLC)847068744 (DE-599)BVBBV043942147 |
| dewey-full | 516.9 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.9 |
| dewey-search | 516.9 |
| dewey-sort | 3516.9 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511569333 |
| format | Electronic eBook |
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| id | DE-604.BV043942147 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:17Z |
| institution | BVB |
| isbn | 9780511569333 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029351117 |
| oclc_num | 847068744 |
| open_access_boolean | |
| owner | DE-12 DE-92 DE-355 DE-BY-UBR |
| owner_facet | DE-12 DE-92 DE-355 DE-BY-UBR |
| physical | 1 Online-Ressource (xiv, 298 Seiten) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO UBR Einzelkauf (Lückenergänzung CUP Serien 2018) |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | London Mathematical Society student texts |
| spelling | Iversen, Birger Verfasser aut Hyperbolic geometry Birger Iversen Cambridge Cambridge University Press 1992 1 Online-Ressource (xiv, 298 Seiten) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society student texts 25 Quadratic forms -- Geometries -- Hyperbolic plane -- Fuchsian groups -- Fundamental domains -- Coverings -- Poincaré's theorem -- Hyperbolic 3-space -- Appendix: Axioms for plane geometry Although it arose from purely theoretical considerations of the underlying axioms of geometry, the work of Einstein and Dirac has demonstrated that hyperbolic geometry is a fundamental aspect of modern physics. In this book, the rich geometry of the hyperbolic plane is studied in detail, leading to the focal point of the book, Poincare's polygon theorem and the relationship between hyperbolic geometries and discrete groups of isometries. Hyperbolic 3-space is also discussed, and the directions that current research in this field is taking are sketched. This will be an excellent introduction to hyperbolic geometry for students new to the subject, and for experts in other fields Geometry, Hyperbolic Hyperbolische Geometrie (DE-588)4161041-6 gnd rswk-swf Hyperbolische Geometrie (DE-588)4161041-6 s DE-604 Erscheint auch als Druck-Ausgabe 978-0-521-43508-6 Erscheint auch als Druck-Ausgabe 978-0-521-43528-4 https://doi.org/10.1017/CBO9780511569333 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Iversen, Birger Hyperbolic geometry Quadratic forms -- Geometries -- Hyperbolic plane -- Fuchsian groups -- Fundamental domains -- Coverings -- Poincaré's theorem -- Hyperbolic 3-space -- Appendix: Axioms for plane geometry Geometry, Hyperbolic Hyperbolische Geometrie (DE-588)4161041-6 gnd |
| subject_GND | (DE-588)4161041-6 |
| title | Hyperbolic geometry |
| title_auth | Hyperbolic geometry |
| title_exact_search | Hyperbolic geometry |
| title_full | Hyperbolic geometry Birger Iversen |
| title_fullStr | Hyperbolic geometry Birger Iversen |
| title_full_unstemmed | Hyperbolic geometry Birger Iversen |
| title_short | Hyperbolic geometry |
| title_sort | hyperbolic geometry |
| topic | Geometry, Hyperbolic Hyperbolische Geometrie (DE-588)4161041-6 gnd |
| topic_facet | Geometry, Hyperbolic Hyperbolische Geometrie |
| url | https://doi.org/10.1017/CBO9780511569333 |
| work_keys_str_mv | AT iversenbirger hyperbolicgeometry |