Geometry: Plane and Fancy:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1998
|
| Schriftenreihe: | Undergraduate Texts in Mathematics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | GEOMETRY: Plane and Fancy offers students a fascinating tour through parts of geometry they are unlikely to see in the rest of their studies while, at the same time, anchoring their excursions to the well known parallel postulate of Euclid. The author shows how alternatives to Euclid's fifth postulate lead to interesting and different patterns and symmetries. In the process of examining geometric objects, the author incorporates the algebra of complex (and hypercomplex) numbers, some graph theory, and some topology. Nevertheless, the book has only mild prerequisites. Readers are assumed to have had a course in Euclidean geometry (including some analytic geometry and some algebra) at the high school level. While many concepts introduced are advanced, the mathematical techniques are not. Singer's lively exposition and off-beat approach will greatly appeal both to students and mathematicians. Interesting problems are nicely scattered throughout the text. The contents of the book can be covered in a one-semester course, perhaps as a sequel to a Euclidean geometry course |
| Beschreibung: | 1 Online-Ressource (X, 162 p) |
| ISBN: | 9781461206071 9781461268376 |
| ISSN: | 0172-6056 |
| DOI: | 10.1007/978-1-4612-0607-1 |
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Datensatz im Suchindex
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-0607-1 |
| format | Electronic eBook |
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| id | DE-604.BV042419569 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:05Z |
| institution | BVB |
| isbn | 9781461206071 9781461268376 |
| issn | 0172-6056 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027854986 |
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| physical | 1 Online-Ressource (X, 162 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Springer New York |
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| series2 | Undergraduate Texts in Mathematics |
| spelling | Singer, David A. Verfasser aut Geometry: Plane and Fancy by David A. Singer New York, NY Springer New York 1998 1 Online-Ressource (X, 162 p) txt rdacontent c rdamedia cr rdacarrier Undergraduate Texts in Mathematics 0172-6056 GEOMETRY: Plane and Fancy offers students a fascinating tour through parts of geometry they are unlikely to see in the rest of their studies while, at the same time, anchoring their excursions to the well known parallel postulate of Euclid. The author shows how alternatives to Euclid's fifth postulate lead to interesting and different patterns and symmetries. In the process of examining geometric objects, the author incorporates the algebra of complex (and hypercomplex) numbers, some graph theory, and some topology. Nevertheless, the book has only mild prerequisites. Readers are assumed to have had a course in Euclidean geometry (including some analytic geometry and some algebra) at the high school level. While many concepts introduced are advanced, the mathematical techniques are not. Singer's lively exposition and off-beat approach will greatly appeal both to students and mathematicians. Interesting problems are nicely scattered throughout the text. The contents of the book can be covered in a one-semester course, perhaps as a sequel to a Euclidean geometry course Mathematics Geometry Mathematik Geometrie (DE-588)4020236-7 gnd rswk-swf Nichteuklidische Geometrie (DE-588)4042073-5 gnd rswk-swf Geometrie (DE-588)4020236-7 s 1\p DE-604 Nichteuklidische Geometrie (DE-588)4042073-5 s 2\p DE-604 https://doi.org/10.1007/978-1-4612-0607-1 Verlag 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 | Singer, David A. Geometry: Plane and Fancy Mathematics Geometry Mathematik Geometrie (DE-588)4020236-7 gnd Nichteuklidische Geometrie (DE-588)4042073-5 gnd |
| subject_GND | (DE-588)4020236-7 (DE-588)4042073-5 |
| title | Geometry: Plane and Fancy |
| title_auth | Geometry: Plane and Fancy |
| title_exact_search | Geometry: Plane and Fancy |
| title_full | Geometry: Plane and Fancy by David A. Singer |
| title_fullStr | Geometry: Plane and Fancy by David A. Singer |
| title_full_unstemmed | Geometry: Plane and Fancy by David A. Singer |
| title_short | Geometry: Plane and Fancy |
| title_sort | geometry plane and fancy |
| topic | Mathematics Geometry Mathematik Geometrie (DE-588)4020236-7 gnd Nichteuklidische Geometrie (DE-588)4042073-5 gnd |
| topic_facet | Mathematics Geometry Mathematik Geometrie Nichteuklidische Geometrie |
| url | https://doi.org/10.1007/978-1-4612-0607-1 |
| work_keys_str_mv | AT singerdavida geometryplaneandfancy |