Geometries and transformations:
Euclidean and other geometries are distinguished by the transformations that preserve their essential properties. Using linear algebra and transformation groups, this book provides a readable exposition of how these classical geometries are both differentiated and connected. Following Cayley and Kle...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2018
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBA01 Volltext |
| Zusammenfassung: | Euclidean and other geometries are distinguished by the transformations that preserve their essential properties. Using linear algebra and transformation groups, this book provides a readable exposition of how these classical geometries are both differentiated and connected. Following Cayley and Klein, the book builds on projective and inversive geometry to construct 'linear' and 'circular' geometries, including classical real metric spaces like Euclidean, hyperbolic, elliptic, and spherical, as well as their unitary counterparts. The first part of the book deals with the foundations and general properties of the various kinds of geometries. The latter part studies discrete-geometric structures and their symmetries in various spaces. Written for graduate students, the book includes numerous exercises and covers both classical results and new research in the field. An understanding of analytic geometry, linear algebra, and elementary group theory is assumed |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 20 Jun 2018) |
| Beschreibung: | 1 Online-Ressource (xv, 438 Seiten) |
| ISBN: | 9781316216477 |
| DOI: | 10.1017/9781316216477 |
Internformat
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| 520 | |a Euclidean and other geometries are distinguished by the transformations that preserve their essential properties. Using linear algebra and transformation groups, this book provides a readable exposition of how these classical geometries are both differentiated and connected. Following Cayley and Klein, the book builds on projective and inversive geometry to construct 'linear' and 'circular' geometries, including classical real metric spaces like Euclidean, hyperbolic, elliptic, and spherical, as well as their unitary counterparts. The first part of the book deals with the foundations and general properties of the various kinds of geometries. The latter part studies discrete-geometric structures and their symmetries in various spaces. Written for graduate students, the book includes numerous exercises and covers both classical results and new research in the field. An understanding of analytic geometry, linear algebra, and elementary group theory is assumed | ||
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Datensatz im Suchindex
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|---|---|
| any_adam_object | |
| author | Johnson, Norman W. 1930-2017 |
| author_GND | (DE-588)1160899487 |
| author_facet | Johnson, Norman W. 1930-2017 |
| author_role | aut |
| author_sort | Johnson, Norman W. 1930-2017 |
| author_variant | n w j nw nwj |
| building | Verbundindex |
| bvnumber | BV045101015 |
| classification_rvk | SK 380 |
| collection | ZDB-20-CBO |
| ctrlnum | (ZDB-20-CBO)CR9781316216477 (OCoLC)1048216256 (DE-599)BVBBV045101015 |
| dewey-full | 516 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516 |
| dewey-search | 516 |
| dewey-sort | 3516 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/9781316216477 |
| format | Electronic eBook |
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| id | DE-604.BV045101015 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T08:08:40Z |
| institution | BVB |
| isbn | 9781316216477 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030491594 |
| oclc_num | 1048216256 |
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| owner_facet | DE-12 DE-92 DE-384 |
| physical | 1 Online-Ressource (xv, 438 Seiten) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
| publishDate | 2018 |
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| publisher | Cambridge University Press |
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| spelling | Johnson, Norman W. 1930-2017 Verfasser (DE-588)1160899487 aut Geometries and transformations Norman W. Johnson Cambridge Cambridge University Press 2018 1 Online-Ressource (xv, 438 Seiten) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 20 Jun 2018) Euclidean and other geometries are distinguished by the transformations that preserve their essential properties. Using linear algebra and transformation groups, this book provides a readable exposition of how these classical geometries are both differentiated and connected. Following Cayley and Klein, the book builds on projective and inversive geometry to construct 'linear' and 'circular' geometries, including classical real metric spaces like Euclidean, hyperbolic, elliptic, and spherical, as well as their unitary counterparts. The first part of the book deals with the foundations and general properties of the various kinds of geometries. The latter part studies discrete-geometric structures and their symmetries in various spaces. Written for graduate students, the book includes numerous exercises and covers both classical results and new research in the field. An understanding of analytic geometry, linear algebra, and elementary group theory is assumed Geometry / Textbooks Transformationsgruppe (DE-588)4127386-2 gnd rswk-swf Geometrie (DE-588)4020236-7 gnd rswk-swf Transformation Mathematik (DE-588)4060637-5 gnd rswk-swf Lineare Algebra (DE-588)4035811-2 gnd rswk-swf Geometrie (DE-588)4020236-7 s Transformation Mathematik (DE-588)4060637-5 s Lineare Algebra (DE-588)4035811-2 s Transformationsgruppe (DE-588)4127386-2 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 9781107103405 https://doi.org/10.1017/9781316216477 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Johnson, Norman W. 1930-2017 Geometries and transformations Geometry / Textbooks Transformationsgruppe (DE-588)4127386-2 gnd Geometrie (DE-588)4020236-7 gnd Transformation Mathematik (DE-588)4060637-5 gnd Lineare Algebra (DE-588)4035811-2 gnd |
| subject_GND | (DE-588)4127386-2 (DE-588)4020236-7 (DE-588)4060637-5 (DE-588)4035811-2 |
| title | Geometries and transformations |
| title_auth | Geometries and transformations |
| title_exact_search | Geometries and transformations |
| title_full | Geometries and transformations Norman W. Johnson |
| title_fullStr | Geometries and transformations Norman W. Johnson |
| title_full_unstemmed | Geometries and transformations Norman W. Johnson |
| title_short | Geometries and transformations |
| title_sort | geometries and transformations |
| topic | Geometry / Textbooks Transformationsgruppe (DE-588)4127386-2 gnd Geometrie (DE-588)4020236-7 gnd Transformation Mathematik (DE-588)4060637-5 gnd Lineare Algebra (DE-588)4035811-2 gnd |
| topic_facet | Geometry / Textbooks Transformationsgruppe Geometrie Transformation Mathematik Lineare Algebra |
| url | https://doi.org/10.1017/9781316216477 |
| work_keys_str_mv | AT johnsonnormanw geometriesandtransformations |