Hyperbolic manifolds: an introduction in 2 and 3 dimensions
Over the past three decades there has been a total revolution in the classic branch of mathematics called 3-dimensional topology, namely the discovery that most solid 3-dimensional shapes are hyperbolic 3-manifolds. This book introduces and explains hyperbolic geometry and hyperbolic 3- and 2-dimens...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2016
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | Over the past three decades there has been a total revolution in the classic branch of mathematics called 3-dimensional topology, namely the discovery that most solid 3-dimensional shapes are hyperbolic 3-manifolds. This book introduces and explains hyperbolic geometry and hyperbolic 3- and 2-dimensional manifolds in the first two chapters and then goes on to develop the subject. The author discusses the profound discoveries of the astonishing features of these 3-manifolds, helping the reader to understand them without going into long, detailed formal proofs. The book is heavily illustrated with pictures, mostly in color, that help explain the manifold properties described in the text. Each chapter ends with a set of exercises and explorations that both challenge the reader to prove assertions made in the text, and suggest further topics to explore that bring additional insight. There is an extensive index and bibliography |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Jan 2016) |
| Beschreibung: | 1 online resource (xviii, 515 pages) |
| ISBN: | 9781316337776 |
| DOI: | 10.1017/CBO9781316337776 |
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| 520 | |a Over the past three decades there has been a total revolution in the classic branch of mathematics called 3-dimensional topology, namely the discovery that most solid 3-dimensional shapes are hyperbolic 3-manifolds. This book introduces and explains hyperbolic geometry and hyperbolic 3- and 2-dimensional manifolds in the first two chapters and then goes on to develop the subject. The author discusses the profound discoveries of the astonishing features of these 3-manifolds, helping the reader to understand them without going into long, detailed formal proofs. The book is heavily illustrated with pictures, mostly in color, that help explain the manifold properties described in the text. Each chapter ends with a set of exercises and explorations that both challenge the reader to prove assertions made in the text, and suggest further topics to explore that bring additional insight. There is an extensive index and bibliography | ||
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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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| building | Verbundindex |
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| ctrlnum | (ZDB-20-CBO)CR9781316337776 (OCoLC)967678515 (DE-599)BVBBV043940295 |
| dewey-full | 515/.946 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.946 |
| dewey-search | 515/.946 |
| dewey-sort | 3515 3946 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781316337776 |
| format | Electronic eBook |
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| id | DE-604.BV043940295 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:13Z |
| institution | BVB |
| isbn | 9781316337776 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029349265 |
| oclc_num | 967678515 |
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| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xviii, 515 pages) |
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| publishDate | 2016 |
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| publisher | Cambridge University Press |
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| spelling | Marden, Albert Verfasser aut Hyperbolic manifolds an introduction in 2 and 3 dimensions Albert Marden Cambridge Cambridge University Press 2016 1 online resource (xviii, 515 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Jan 2016) Over the past three decades there has been a total revolution in the classic branch of mathematics called 3-dimensional topology, namely the discovery that most solid 3-dimensional shapes are hyperbolic 3-manifolds. This book introduces and explains hyperbolic geometry and hyperbolic 3- and 2-dimensional manifolds in the first two chapters and then goes on to develop the subject. The author discusses the profound discoveries of the astonishing features of these 3-manifolds, helping the reader to understand them without going into long, detailed formal proofs. The book is heavily illustrated with pictures, mostly in color, that help explain the manifold properties described in the text. Each chapter ends with a set of exercises and explorations that both challenge the reader to prove assertions made in the text, and suggest further topics to explore that bring additional insight. There is an extensive index and bibliography Three-manifolds (Topology) Geometry, Hyperbolic Complex manifolds Hyperbolic spaces Hyperbolische Mannigfaltigkeit (DE-588)4161044-1 gnd rswk-swf Hyperbolische Mannigfaltigkeit (DE-588)4161044-1 s 1\p DE-604 Erscheint auch als Druckausgabe 978-1-107-11674-0 https://doi.org/10.1017/CBO9781316337776 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Marden, Albert Hyperbolic manifolds an introduction in 2 and 3 dimensions Three-manifolds (Topology) Geometry, Hyperbolic Complex manifolds Hyperbolic spaces Hyperbolische Mannigfaltigkeit (DE-588)4161044-1 gnd |
| subject_GND | (DE-588)4161044-1 |
| title | Hyperbolic manifolds an introduction in 2 and 3 dimensions |
| title_auth | Hyperbolic manifolds an introduction in 2 and 3 dimensions |
| title_exact_search | Hyperbolic manifolds an introduction in 2 and 3 dimensions |
| title_full | Hyperbolic manifolds an introduction in 2 and 3 dimensions Albert Marden |
| title_fullStr | Hyperbolic manifolds an introduction in 2 and 3 dimensions Albert Marden |
| title_full_unstemmed | Hyperbolic manifolds an introduction in 2 and 3 dimensions Albert Marden |
| title_short | Hyperbolic manifolds |
| title_sort | hyperbolic manifolds an introduction in 2 and 3 dimensions |
| title_sub | an introduction in 2 and 3 dimensions |
| topic | Three-manifolds (Topology) Geometry, Hyperbolic Complex manifolds Hyperbolic spaces Hyperbolische Mannigfaltigkeit (DE-588)4161044-1 gnd |
| topic_facet | Three-manifolds (Topology) Geometry, Hyperbolic Complex manifolds Hyperbolic spaces Hyperbolische Mannigfaltigkeit |
| url | https://doi.org/10.1017/CBO9781316337776 |
| work_keys_str_mv | AT mardenalbert hyperbolicmanifoldsanintroductionin2and3dimensions |