Outer circles: an introduction to hyperbolic 3-manifolds
We live in a three-dimensional space; what sort of space is it? Can we build it from simple geometric objects? The answers to such questions have been found in the last 30 years, and Outer Circles describes the basic mathematics needed for those answers as well as making clear the grand design of th...
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| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2007
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 URL des Erstveröffentlichers |
| Zusammenfassung: | We live in a three-dimensional space; what sort of space is it? Can we build it from simple geometric objects? The answers to such questions have been found in the last 30 years, and Outer Circles describes the basic mathematics needed for those answers as well as making clear the grand design of the subject of hyperbolic manifolds as a whole. The purpose of Outer Circles is to provide an account of the contemporary theory, accessible to those with minimal formal background in topology, hyperbolic geometry, and complex analysis. The text explains what is needed, and provides the expertise to use the primary tools to arrive at a thorough understanding of the big picture. This picture is further filled out by numerous exercises and expositions at the ends of the chapters and is complemented by a profusion of high quality illustrations. There is an extensive bibliography for further study |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 01 Feb 2016) |
| Beschreibung: | 1 online resource (xvii, 427 pages) |
| ISBN: | 9780511618918 |
| DOI: | 10.1017/CBO9780511618918 |
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Datensatz im Suchindex
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| author | Marden, Albert |
| author_facet | Marden, Albert |
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| author_sort | Marden, Albert |
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| bvnumber | BV043943116 |
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| ctrlnum | (ZDB-20-CBO)CR9780511618918 (OCoLC)850420388 (DE-599)BVBBV043943116 |
| dewey-full | 514.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514.3 |
| dewey-search | 514.3 |
| dewey-sort | 3514.3 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511618918 |
| format | Electronic eBook |
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| isbn | 9780511618918 |
| language | English |
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| spelling | Marden, Albert Verfasser aut Outer circles an introduction to hyperbolic 3-manifolds A. Marden Cambridge Cambridge University Press 2007 1 online resource (xvii, 427 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 01 Feb 2016) We live in a three-dimensional space; what sort of space is it? Can we build it from simple geometric objects? The answers to such questions have been found in the last 30 years, and Outer Circles describes the basic mathematics needed for those answers as well as making clear the grand design of the subject of hyperbolic manifolds as a whole. The purpose of Outer Circles is to provide an account of the contemporary theory, accessible to those with minimal formal background in topology, hyperbolic geometry, and complex analysis. The text explains what is needed, and provides the expertise to use the primary tools to arrive at a thorough understanding of the big picture. This picture is further filled out by numerous exercises and expositions at the ends of the chapters and is complemented by a profusion of high quality illustrations. There is an extensive bibliography for further study Three-manifolds (Topology) Hyperbolische Geometrie (DE-588)4161041-6 gnd rswk-swf Dimension 3 (DE-588)4321722-9 gnd rswk-swf Hyperbolische Mannigfaltigkeit (DE-588)4161044-1 gnd rswk-swf Hyperbolische Mannigfaltigkeit (DE-588)4161044-1 s Dimension 3 (DE-588)4321722-9 s 1\p DE-604 Hyperbolische Geometrie (DE-588)4161041-6 s 2\p DE-604 Erscheint auch als Druckausgabe 978-0-521-83974-7 https://doi.org/10.1017/CBO9780511618918 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Marden, Albert Outer circles an introduction to hyperbolic 3-manifolds Three-manifolds (Topology) Hyperbolische Geometrie (DE-588)4161041-6 gnd Dimension 3 (DE-588)4321722-9 gnd Hyperbolische Mannigfaltigkeit (DE-588)4161044-1 gnd |
| subject_GND | (DE-588)4161041-6 (DE-588)4321722-9 (DE-588)4161044-1 |
| title | Outer circles an introduction to hyperbolic 3-manifolds |
| title_auth | Outer circles an introduction to hyperbolic 3-manifolds |
| title_exact_search | Outer circles an introduction to hyperbolic 3-manifolds |
| title_full | Outer circles an introduction to hyperbolic 3-manifolds A. Marden |
| title_fullStr | Outer circles an introduction to hyperbolic 3-manifolds A. Marden |
| title_full_unstemmed | Outer circles an introduction to hyperbolic 3-manifolds A. Marden |
| title_short | Outer circles |
| title_sort | outer circles an introduction to hyperbolic 3 manifolds |
| title_sub | an introduction to hyperbolic 3-manifolds |
| topic | Three-manifolds (Topology) Hyperbolische Geometrie (DE-588)4161041-6 gnd Dimension 3 (DE-588)4321722-9 gnd Hyperbolische Mannigfaltigkeit (DE-588)4161044-1 gnd |
| topic_facet | Three-manifolds (Topology) Hyperbolische Geometrie Dimension 3 Hyperbolische Mannigfaltigkeit |
| url | https://doi.org/10.1017/CBO9780511618918 |
| work_keys_str_mv | AT mardenalbert outercirclesanintroductiontohyperbolic3manifolds |